HI! PLEASE SHOW FULL SOLUTIONS FOR BOTH QUESTIONS AND ONLY ANSWER IF YOU KNOW! NO CALCULUS PLEASE! THAT WOULD BE VERY APPRECIATED!!

HI! PLEASE SHOW FULL SOLUTIONS FOR BOTH QUESTIONS AND ONLY ANSWER IF YOU KNOW! NO CALCULUS PLEASE! THAT

Answers

Answer 1

Answer:

3) p(2) = 22

4) k = 0

Step-by-step explanation:

Remainder theorem: If the polynomial p(x) is divided by the linear polynomial x -a then the remainder is p(a).

3)p(m) = m⁴ - 2m³ +  m² + 12m - 6

p(m) is divided by (m - 2).

m -2 = 0

m = 2. The remainder is p(2)

p(2) = 2⁴ - 2*2³ + 2² + 12*2 - 6

      = 16 - 16 + 4 + 24 - 6

      = 22

p(2) = 22

4) p(x) = 8x³ + 6x² + x + k

p(x) is divided by (2x + 3).

2x + 3 = 0

      2x = -3

         [tex]x = \dfrac{-3}{2}[/tex]

                               [tex]p(\dfrac{-3}{2})=-15[/tex]

 [tex]8*(\dfrac{-3}{2})^3+6*(\dfrac{-3}{2})^2-\dfrac{3}{2}+k=-15\\\\\\8*\dfrac{-27}{8}+6*\dfrac{9}{4}-\dfrac{3}{2} + k = -15\\\\\\-27 + \dfrac{27}{2}-\dfrac{3}{2}+k=-15\\\\\\-27 + \dfrac{24}{2}+k=-15\\\\[/tex]

        -27 + 12 + k = -15

                         k = -15 + 27 - 12

                        k = 0


Related Questions

Are the ratios 4:3 and 5:4 equivalent?

Answers

Answer:

They're not promise

Step-by-step explanation:

I did it on the calculator

I hope this helps youuu

Have a good day <3

No they are not equivalent

Here are all the ratios that match 4:3
4 : 3
8 : 6
12 : 9
16 : 12
20 : 15
24 : 18
28 : 21
32 : 24
36 : 27
40 : 30
44 : 33
48 : 36
52 : 39
56 : 42
60 : 45
64 : 48
68 : 51
72 : 54
76 : 57
80 : 60
84 : 63
88 : 66
92 : 69
96 : 72
100 : 75
104 : 78
108 : 81
112 : 84
116 : 87
120 : 90
124 : 93
128 : 96
132 : 99
136 : 102
140 : 105
144 : 108
148 : 111
152 : 114
156 : 117
160 : 120
164 : 123
168 : 126
172 : 129
176 : 132
180 : 135
184 : 138
188 : 141
192 : 144
196 : 147
200 : 150
204 : 153
208 : 156
212 : 159
216 : 162
220 : 165
224 : 168
228 : 171
232 : 174
236 : 177
240 : 180
244 : 183
248 : 186
252 : 189
256 : 192
260 : 195
264 : 198
268 : 201
272 : 204
276 : 207
280 : 210
284 : 213
288 : 216
292 : 219
296 : 222
300 : 225
304 : 228
308 : 231
312 : 234
316 : 237
320 : 240
324 : 243
328 : 246
332 : 249
336 : 252
340 : 255
344 : 258
348 : 261
352 : 264
356 : 267
360 : 270
364 : 273
368 : 276
372 : 279
376 : 282
380 : 285
384 : 288
388 : 291
392 : 294
396 : 297
400 :300

Dina’s Ice Cream Shop sells only chocolate and vanilla ice cream. Each week, Dina puts either chocolate ice cream or vanilla ice cream on sale. She is trying to figure out which ice cream she should put on sale this week. Dina gets all of her business from people who walk by her ice cream shop and stop in. She performs some market research and asks 100 100100 different people if they would purchase chocolate ice cream, vanilla ice cream, or no ice cream if they walked by and chocolate ice cream was on sale. She does the same for vanilla ice cream being on sale.

Answers

Based on the market research, Dina can determine which ice cream flavor she should put on sale this week by comparing the number of people who would purchase each flavor if it was on sale.

How can she do this?

For example, if 70 people said they would purchase chocolate ice cream if it was on sale and only 30 people said they would purchase vanilla ice cream if it was on sale, then Dina should put chocolate ice cream on sale this week.

On the other hand, if 60 people said they would purchase vanilla ice cream if it was on sale and only 40 people said they would purchase chocolate ice cream if it was on sale, then Dina should put vanilla ice cream on sale this week.

It's important to note that Dina's market research only represents a sample of people who walk by her ice cream shop and stop in. It may not be representative of the entire population of potential customers. Therefore, Dina should take this into account when making her decision.

Read more about market research here:

https://brainly.com/question/24906199

#SPJ1

PLS HELP I NEED HELP ASAP

Answers

Answer:

3a + 2b

Step-by-step explanation:

The perimeter of the rectangle is calculated by following formula:

2×(w+l)

w: width, l: length

Let x represent the missing side length, width,

2(x + 5a - b) = 16a + 2b

Multiply inside the parenthesis 2

2x + 10a - 2b = 16a + 2b

transfer 10a - 2b to the other side of the equation

2x = 16a + 2b - 10a + 2b

Add/subtract like terms

2x = 6a + 4b

Divide both sides by 2

x = 3a + 2b

PLEASE HELP, WILL MARK BRAINLIEST

Answers

The slope-intercept definition of the linear function is given as follows:

y = -2x - 3.

How to define a linear function?

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.

For this problem, the slope and the intercept are given as follows:

Intercept of b = -3, as when x = 0, y = -3.Slope of m = -2, as when x increases by 1, y decreases by 2.

Hence the function is defined as follows:

y = -2x - 3.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

You See I Have This Monster Under My Bed And Every 8 Hours He Eats 4 Cupcakes , Id Like To Buy Egnogh For The Next 24 Hours How Many Would I Need To Buy

Answers

Answer: 12 cupcakes

Step-by-step explanation:

24/8 = 3

3x4=12

Answer:

The answer to your problem is, 12

Step-by-step explanation:

First, we want to know the problem:

24 ÷ 8 = ?

? = 3

Next, we can do some easy multiplication such as the following:

3 x 4 = ?

? = 12.

Thus, the answer to your problem is, 12

Figure LMNOPQRS is a regular octagon. Segment LS is located at L (0, 0) and S (0, 1). What is the perimeter of LMNOPQRS?
A. 8 units
B. 10 units
C. 12 units
D. 14 units

Answers

The perimeter of the given regular octagon is 8 units.

What is the perimeter of a regular polygon?

The perimeter of a regular polygon is the total length of its sides, and for a regular octagon, it is given by the formula [tex]P = 8s[/tex] , where s is the value of each side. To find the length of each side, we can use the coordinates of two adjacent vertices of the octagon.

Calculating the value of the perimeter :

In this question, we are given that the octagon is regular and that segment LS is located at L (0,0) and S (0,1).

To find the perimeter of the octagon, we can use the formula [tex]P = 8s,[/tex], where s is the value of each side.

We can find the length of each side by using the coordinates of two adjacent vertices of the octagon. Let us consider the coordinates of vertices L and M. The distance between L and M can be calculated using the distance formula as follows:

[tex]d =\sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)}[/tex]

where [tex](x_1, y_1) = (0, 0)[/tex]and [tex](x_2, y_2) = (1, 0)[/tex]

[tex]d = \sqrt{((1 - 0)^2 + (0 - 0)^2)}= 1[/tex]

Therefore, the length of each side of the octagon is 1 unit.

Substituting s = 1 unit in the formula for the perimeter of the octagon, we get:

[tex]P = 8s = 8(1) = 8[/tex] units

Hence, the perimeter of the given regular octagon is 8 units.

To know more about octagon visit :

brainly.com/question/16543440

#SPJ1

each year a company selects a number of employees for a management training program. on average, 40 percent of those sent complete the program. out of the 23 people sent, what is the probability that exactly 7 complete the program?

Answers

The probability that exactly 7 employees out of 23 sent complete the program is 0.217 or 21.7%.

In this case, the number of trials is 23, and the probability of success is 0.4 (since, on average, 40% of those sent complete the program). We want to find the probability of exactly 7 successes.

The binomial probability formula is:

P(X=k) = [tex](^n_k) \times p^k \times (1-p)^{(n-k)}[/tex]

Where P(X=k) is the probability of k successes, n is the total number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.

Using this formula, we can calculate the probability of exactly 7 employees completing the program as follows:

P(X=7) = [tex](^{23} _7) \times 0.4^7 \times (1-0.4)^{(23-7)}[/tex]

= 0.217 or 21.7%

To know more about probability here

https://brainly.com/question/11234923

#SPJ4

PLEASE ANSWER AS QUICKLY AS YOU CAN!!!!!!

Answers

Answer:

(x+6)(x+6)

[tex]x^2+12x+36[/tex]

(x+8)(x-5)

[tex]x^{2}+3x-40\\[/tex]

(x-5)(x-2)

[tex]x^{2}-7x+10[/tex]

Step-by-step explanation:

Brainliest pls hope it helped^^

Answer:

a) x^(2)+12x+36

b) x^(2)+3x-40

c) x^(2)-7x+10

Step-by-step explanation:

I NEED HELP ON THIS ASAP!!

A sports ticketing company offers two ticket plans. One plan costs $110 plus $25 per ticket. The other plan costs $40 per ticket. How many tickets must Gloria buy in order for the first plan to be the better buy?

Answers

Answer: Gloria must but at least one ticket in order for the first plan to be the better plan

What are linear and non-linear functions?

A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.

Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.

An example of a non-linear function is a quadratic function.

Given, A sports ticketing company offers two ticket plans. One costs $11 plus $25 per ticket and the other plan costs$40 per ticket.

Let, The number of tickets be 'x'.

Therefore, The number of tickets Gloria should buy so that the first plan is a better plan is,

11x + 25 < 40x.

11x - 40x < - 25.

- 29x < - 25.

29x > 25.

x > 25/29.

x > 0.86.

So, Gloria must buy at least 1 ticket.

Step-by-step explanation:

3 Which of the following figures have
the same area?
2.9 cm
II
4 cm
2 cm
A. Figures I and II
C. Figures I and III
I
5.8 cm
III 3.7 cm
3.7 cm
B. Figure II and III
D. None of the above

Answers

We can see here that the figures that have the same area are: A. Figures I and II.

What is area?

Area is a measure of the size of a two-dimensional surface or shape. It refers to the amount of space inside the boundaries of a flat object, such as a rectangle, triangle, or circle. Area is typically measured in square units, such as square meters, square feet, or square centimeters.

The area of Figure I which is a rectangle is = l × b = 2cm × 5.8cm = 11.6cm².

The area of Figure II which is a parallelogram is = b × h = 4cm × 2.9cm = 11.6cm².

Thus, Figures I and II have the same area.

Learn more about area on https://brainly.com/question/25292087

#SPJ1

Rachana has a set of ten mugs the set up is made of 3 different mugs

Answers

If Rachana randomly selects two mugs from the set, the probability that she gets two different mugs is 0.1556 or 15.56%.

To solve this problem, we can use the concept of combinations. Since there are 10 mugs in the set, there are 10 choose 2 = 45 ways to select two mugs without considering order.

Out of these 45 ways, we need to count the number of ways Rachana can select two different mugs. Since there are 3 different types of mugs, Rachana can choose any one of the three types for the first mug. There are 10 mugs in the set, out of which 3 belong to the chosen type. Therefore, the probability of choosing a mug of the chosen type is 3/10.

For the second mug, Rachana can choose from the remaining 9 mugs. Since she needs to choose a different type of mug, she can choose any one of the 2 remaining types. There are 7 mugs left from the other 2 types. Therefore, the probability of choosing a mug of a different type is (7/9) * 2/3 = 14/27.

Therefore, the probability of selecting two different mugs is the product of the probabilities of selecting a mug of the chosen type and a mug of a different type. This is given by (3/10) * (14/27) = 7/45, which is approximately 0.1556 or 15.56%.

To learn more about probability click on,

https://brainly.com/question/25905476

#SPJ4

Complete question is:

Rachana has a set of ten mugs the set up is made of 3 different mugs. If Rachana randomly selects two mugs from the set, what is the probability that she gets two different mugs?

. if an m-by-n matrix a multiplies an n-dimensional vector x, how many separate multiplications are involved? what if a multiplies an n-by-p matrix b?

Answers

If a multiplies an n x p matrix b then the total number of multiplications involved is m x p. And is given by Dimensional vector.

For explanation, There are two separate cases to consider when multiplying an m-by-n matrix and an n-dimensional vector, or an m-by-n matrix and an n-by-p matrix.

When an m-by-n matrix, A, multiplies an n-dimensional vector, x, the number of separate multiplications involved is m. This is because in order to compute the dot product of A and x, each row of A needs to be multiplied by the vector x, resulting in m separate multiplications.

On the other hand, when A multiplies an n-by-p matrix, B, the number of separate multiplications involved is m x p. This is because in order to multiply A and B, each row of A must be multiplied by each column of B, resulting in m x p separate multiplications.

Therefore, the number of separate multiplications involved when multiplying an m-by-n matrix and an n-dimensional vector is m, and the number of separate multiplications involved when multiplying an m x n matrix and an n x p matrix is m x p.

To learn more about Dimensional vector here:

brainly.com/question/28931875#

#SPJ11

Write a proportion to determine the missing measure.

A lighthouse casts a 72-yard shadow at the same time as a 32-foot tall billboard casts a 19-foot shadow.
What is the height of the lighthouse?



A 121.3 yd
B 64.8 yd
C 42.8 yd
D 118.4 ft

Answers

the height of the lighthouse is 121.3 yards.

Answer:

Step-by-step explanation:

First, we need to make sure that we are comparing the units in the same system, either yards or feet. Let's convert 32 feet to yards:

32 feet * 1 yard/3 feet = 10.67 yards

Now we have:

Lighthouse height / Lighthouse shadow = Billboard height / Billboard shadow

Let x be the height of the lighthouse in yards.

x / 72 yards = 10.67 yards / 19 feet

We can simplify the equation by converting everything to yards:

x / 72 = 10.67 / 3.28

x / 72 = 3.25

To solve for x, we can cross-multiply:

x = 72 * 3.25

x = 234

Therefore, the height of the lighthouse is 234 yards.

Answer: A) 121.3 yd.

does anyone know the answer??​

Answers

The point that partitions segment AB in a 1:4 ratio is (-1, -0.4).

How to determine the coordinates of point Q?

In this scenario, line ratio would be used to determine the coordinates of the point Q on the directed line segment AB that partitions the segment into a ratio of 1 to 4.

In Mathematics, line ratio can be used to determine the coordinates of Q and this is modeled by the following mathematical expression:

Q(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

Substituting the given parameters into the line ratio formula, we have;

Q(x, y) = [(1(7) + 4(-3))/(1 + 4)],  [(1(-10) + 4(2))/(1 + 4)]

Q(x, y) = [(7 - 12)/(5)],  [(-10 + 8)/5]

Q(x, y) = [-5/5],  [(-2)/(5)]

Q(x, y) = [-1, -2/5]

Q(x, y) = [-1, -0.4]

Read more on line ratio here: brainly.com/question/14457392

#SPJ1

Roy bought a board game for $22. Then, he marked up the price of the board game and resold it for $25.78. What percentage of the original price was the markup rate?

Answers

Answer: 17% markup

Step-by-step:
22/100=0.22
25.78/0.22=117.18
117.18-100=17%

a researcher wishes to conduct a study of the color preferences of new car buyers. suppose that 30% of this population prefers the color green . if 16 buyers are randomly selected, what is the probability that at least 4 buyers would prefer green ? round your answer to the nearest ten-thousandth, if necessary.

Answers

The probability that at least 4 buyers would prefer green among the 16 selected is approximately 0.1031.

What is probability?

Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.

This problem can be modeled as a binomial distribution with n = 16 trials and p = 0.3 probability of success (preferring green).

Let X be the number of buyers who prefer green among the 16 selected. We need to find P(X ≥ 4).

Using a binomial probability table or calculator, we can find:

P(X ≥ 4) = 1 - P(X < 4)

= 1 - P(X ≤ 3)

= 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]

= 1 - [0.1233 + 0.2854 + 0.3028 + 0.1854]

= 0.1031 (rounded to 4 decimal places)

Therefore, the probability that at least 4 buyers would prefer green among the 16 selected is approximately 0.1031.

To know more about probability visit :

https://brainly.com/question/13604758

#SPJ1

Determine whether each expression can be used to find the length of segment AB.
AB= 10sinC
AB = 10cosA
AB = 8tanA
AB= 8tanC
A
B
27
8
10
C

Answers

The length of segment AB, is calculated using the formulae velow

AB = 10 sin CAB = 10 cos AAB = 8 tan C

How to the formulae for length of AB

Information from the question

a figure of right triangle

The length of AB is worked using SOH CAH TOA

Sin = opposite / hypotenuse - SOH

Cos = adjacent / hypotenuse - CAH

Tan = opposite / adjacent - TOA

The length of AB is solved using sin, cos and tan as follows

Sin = opposite / hypotenuse - SOH

sin C = AB / 10

AB = 10 Sin C

Cos = adjacent / hypotenuse - CAH

cos A = AB / 10

AB = 10 cos A

Tan = opposite / adjacent - TOA

tan C = AB / 8

AB = 8 tan C

Learn more about SOH CAH TOA here:

https://brainly.com/question/29334128

#SPJ1

City pollution in Singapore (scientific notation)?

Answers

According to the World Air Quality Report 2020, the annual average PM2.5 concentration in Singapore was 14.8 μg/m³ (micrograms per cubic meter which can be expressed in scientific notation as 1.48 x 10^-5 g/m³.

What is important fact on city pollution in Singapore?

The PM2.5 concentration refers to fine particulate matter that can pose health risks when inhaled, and sources of such pollution in urban areas can include traffic, industrial activities, and power generation.

Despite its relatively low PM2.5 concentration compared to many other cities in the world, Singapore continues to work on improving air quality and reducing pollution through measures such as promoting the use of public transportation, implementing emission standards for vehicles, and encouraging the adoption of clean energy technologies.

Read more about City pollution

brainly.com/question/19621497

#SPJ1

if she picks another 250 balls at random, how many red balls should she expect

Answers

Answer:

Step-by-step explanation:

250

answer this for points please i need this done

Answers

Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer... I think

Please I really need the help I only have 30 minutes left this is my second attempt at this

Answers

The correct option is the second one, your supervisor did not divide by the total number of bags.

What mistake did your supervisor did?

Here we can see a table with the size of each bag (in grams) and the number of sold bags.

Now, remember that for a set of N numbers {x₁, ..., xₙ} the mean is:

M = (x₁ + x₂ + ...)/N

So the denominator is the amount of elements in the set.

Then here in the denominator we should see the total number of bags sold, which is:

25 + 32 + 40 + 18 = 115

That number should be in the denominator instead of the sum of the masses.

Then the correct option is the second one.

Learn more about means at:

https://brainly.com/question/20118982

#SPJ1

Gerald had some green and yellow beads. The number of green beads was 1/3 the number of yellow beads. He gave each of his friends 2 green beads and 3 yellow beads. He then had 42 green beads and 270 yellow beads left.
a. How many friends did he give the beads to?
b. What was the total number of beads he had at first?

Answers

Answer:

Step-by-step explanation:

Let's use algebra to solve this problem.

Let's start by assigning variables to the unknown quantities. Let G be the initial number of green beads and Y be the initial number of yellow beads.

We know that the number of green beads is 1/3 the number of yellow beads:

G = (1/3)Y

After giving away some beads, he had 42 green beads and 270 yellow beads left. So we can set up two equations using this information:

G - 2f = 42

Y - 3f = 270

where f is the number of friends he gave the beads to.

Now we can substitute G = (1/3)Y into the first equation:

(1/3)Y - 2f = 42

Multiplying both sides by 3, we get:

Y - 6f = 126

Now we have two equations that we can solve simultaneously:

Y - 3f = 270

Y - 6f = 126

Subtracting the first equation from the second, we get:

3f = 144

So f = 48. He gave the beads to 48 friends.

To find the total number of beads he had at first, we can use the equation G = (1/3)Y:

G + Y = (4/3)Y = (4/3)(270) = 360

So he had a total of 360 beads at first.

I NEED HELP PLEASE!!!

Answers

I have no idea, good luck though pal

Step-by-step explanation:

You

Got

This

<3

there are 12 people in an office with 4 different phone lines. if all the lines begin to ring at once, how many groups of 4 people can answer these lines?

Answers

As per the combination method, there are 495 groups of 4 people that can answer the 4 different phone lines when there are 12 people in the office.

To start, we need to determine how many ways we can choose 4 people from a group of 12. We use the formula for combinations, which is:

ⁿCₓ = n! / x!(n-x)!

Where n is the total number of people (in this case, 12) and x is the number of people we want to choose (in this case, 4). The exclamation point symbol (!) denotes the factorial operation, which means we multiply the number by every positive integer less than it down to 1.

So, for this problem, we have:

¹²C₄ = 12! / 4!(12-4)!

= (12 x 11 x 10 x 9) / (4 x 3 x 2 x 1)

= 495

To know more about combination here

https://brainly.com/question/28998705

#SPJ4

find sin A 97, 72,65​

Answers

Therefore, sin(A) is approximately 0.6708 (rounded to four decimal places).

What is trigonometry?

Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems related to geometry, physics, engineering, and many other fields. Trigonometry is based on the study of the six trigonometric functions: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). These functions describe the ratios of the lengths of the sides of a right triangle, and can be used to calculate the unknown side lengths or angles of a triangle. Trigonometry is also useful for working with periodic functions, such as waves and oscillations. The trigonometric functions can be used to model and analyze these periodic phenomena, and to predict future behavior based on past observations. Applications of trigonometry can be found in many areas of science, engineering, and technology, including astronomy, navigation, architecture, surveying, and electronics.

Here,

To find sin(A), we need to use the trigonometric ratios of the sides of the right triangle ABC, where angle A is opposite to side a, angle B is opposite to side b and angle C is opposite to side c. We have sides of the triangle as follows:

a = 72

b = 65

c = 97

To find sin(A), we can use the following formula:

sin(A) = opposite/hypotenuse

In this case, the opposite side of angle A is b and the hypotenuse is c, so we have:

sin(A) = b/c

sin(A) = 65/97

To know more about trigonometry,

https://brainly.com/question/29002217

#SPJ1

Complete question:

Find sin(A) when we have sides of the triangle as follows:

a = 72

b = 65

c = 97

in 1970, an industrial waste site contained an estimated 350 tons of contaminated soil. special cleaning crews were contracted to clean up the site. the crews can remove 20% of the contaminated soil each year. a. how do we know this describes an exponential function?

Answers

In 1970, an industrial waste site contained an estimated 350 tons of contaminated soil. special cleaning crews were contracted to clean up the site. the crews can remove 20% of the contaminated soil each year. describes an exponential function because it follows a fixed rate of decay over time, which can be expressed as a mathematical formula.

The given data describes an exponential function because it describes a quantity that decreases at a fixed rate over time.

The 350 tons of contaminated soil represents the initial quantity, and the special cleaning crews removing 20% of the contaminated soil each year represents the rate of decay. This decay rate can be expressed as a percentage decrease, which describes an exponential function.
To be more specific, an exponential function is a mathematical model that describes the decay of a quantity over a period of time. The decay rate can be expressed as a constant, which is multiplied by the initial quantity. The resulting value represents the quantity of the item at the end of each time period.
For example, in the given situation, the initial quantity of contaminated soil is 350 tons.

After one year, the quantity decreases by 20%, or 0.2, to represent the amount of contaminated soil removed.

This can be expressed as a mathematical formula as follows:

Q1 = 350 x 0.2

where Q1 is the quantity after the first year.

For similar question on exponential function

https://brainly.com/question/2456547

#SPJ11

If 16% of a number is 40, find 4% of that number.

Answers

4% of a number is therefore 10, or 10 by Divide both sides of the equation by 0.16 and to determine the fourth percent of the number.

what is equation ?

Typically, an equation consists of one or more variables, which might have varying values and are typically represented by letters. Equations are frequently used to explain relationships between distinct values or to address issues in a variety of fields. An example of an equation with one variable is x + 2 = 5. It denotes that x plus 2 add up to 5 in total.

given

With the provided data, we can first determine the complete number:

If 40 is 16% of a number, then the following equation may be written:

0.16x = 40

where x is the complete number that we are looking for.

Divide both sides of the equation by 0.16 to find the value of x:

x = 40/0.16

x = 250

Hence, the total is 250.

We can now utilise this knowledge to determine the fourth percent of the number:

4% of 250 is:

0.04 × 250 = 10

4% of a number is therefore 10, or 10 by Divide both sides of the equation by 0.16 and to determine the fourth percent of the number.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

Help help help help help HELP ME PLEASE THIS IS DUE REALLY SOOONNN

Answers

answer for number 14 is 1115

you mutliply 27 into 1 ×45 into 100

it is 100 because we are dealing with percentage

so you say (write in fraction form)

27÷1×45÷100

=1215÷100

you get the answer of 1115

so there were 1115 female butterflies

we can subtract the answer from the original number to get the number of male butterflies

1215-1115 =100 male butterflies

15. Anna has $2.00 in change, including 5 quarters. What is the maximum number of dimes she can have? A 2 C 7 B 5 D 9​

Answers

Answer:

To solve the problem, we need to first determine the value of the quarters Anna has. Since there are 5 quarters, we have:

5 quarters = 5 x $0.25 = $1.25

Thus, Anna has $2.00 - $1.25 = $0.75 left. We can find the maximum number of dimes she can have by dividing this amount by the value of a dime, which is $0.10. Therefore:

$0.75 ÷ $0.10 = 7.5

Since Anna cannot have a fraction of a dime, we round down to the nearest whole number to get a maximum of 7 dimes. Therefore, the answer is option B, 5.

an expression for the length of one rectangle is . the length of a similar rectangle is expressed as

Answers

An expression for the length of one rectangle is the product of the ratio of the similar rectangle to the length of the original rectangle. The length of a similar rectangle is expressed as the same ratio.

The ratio of the length of the similar rectangle to the length of the original rectangle and the length of the original rectangle are used to calculate the length of a similar rectangle. For instance, if the original rectangle's length is 10 and the similar rectangle's length is 20, the length of the similar rectangle may be expressed as (20/10) × 10 = 20.

The comparable lengths of identical forms have the same ratio. It is possible to compute lengths using this fact. For instance, the corresponding sides of two rectangles are proportionate if they are identical.

The ratio of the lengths is 11/l2 if one rectangle has length 11 and the second rectangle has length 12. The ratio of the widths is the same if one rectangle has width w1 and the other has width w2, which is w1/w2.

To know more about similar rectangles, refer:

https://brainly.com/question/27156036

#SPJ4

Correct question is:

An expression for the length of one rectangle is _____. The length of a similar rectangle is expressed as _____.

Other Questions
Over time groups they were targeted by the Nazi regime were who is often responsible for the regulation of the services that professional caregivers, such as physicians, psychologists, and pharmacists, can and cannot provide? Which of the following graphs is described by the function below?[tex]y=x^{2} -6x-7[/tex]A.) Graph AB.) Graph BC.) Graph CD.) Graph D 21 x 8 12 as a equivalent ratio? What was the colour of the leaf after it was boiled in ethanol? system of rewarding managers by linking bonuses to income computed under absorption costing may result in: multiple choice question. insufficient inventory excess inventory buildup sales negatively affected no effect on inventory a mixture of two gases with a total pressure of 2.00 atm contains 0.70 atm of gas a. what is the partial pressure of gas b in atm? 1 . 3 0 for which type of research must participants usually be available for extensive interactions with researchers? based upon what occurred during the magnitude 9.0 earthquake on the cascadia subduction zone in 1700, how might an earthquake there affect the california coastline? Financial statement data for the years ended December 31 for Black Bull Inc. follow:20Y620Y5Net income$2,485,700$1,538,000Preferred dividends$50,000$50,000Average number of common shares outstanding115,000 shares80,000 sharesa. Determine the earnings per share for 20Y6 and 20Y5.b. Does the change in the earnings per share from 20Y5 to 20Y6 indicate a favorable or unfavorable trend? A farmers drainage ditch has a width of 2 m and a depth of 50 cm. It is lined with concrete with a roughness of 0.011 and slopes at 0.0009. Calculate the ditch's discharge rate. Orlando and Nancy are scuba diving. Orlando is at an elevation of -60 feet, and he is descending at a rate of 8 feet per minute. Nancy is at an elevation of -35 feet and she is descending at a rate of 12 feet each minute. The variable t represents the time in minutes. After how many minutes will Orlando and Nancy be at the same elevation? At what elevation will they be at that time? which of the following is considered the best generic strategy: a. cost leadership b. differentiation c. niche or focus strategy d. integrated cost leadership/differentiation e. none of the above; the best strategy depends on the situation if a gun shoots a bullet straight up with an initial speed of 400 m/s, then how high will the bullet go? (8163 m) g fai is the company hr manager and wants to create a type of cloud that would only be accessible to other hr managers. which type of cloud would best fit fai's need? a. public cloud b. group cloud c. hybrid cloud d. community cloud the name for a full scale preliminary drawing a painter might make before beginning his painting is called a What is the length of side x? the physician suggests that surgery be performed for patent ductus arteriosus (pda) to prevent which complication? consider the poetic and literary devices used throughout the play. do you think the form of shakespeare's works strengthens and reinforces the content? or not? lassify each of the following statements as positive or normative. statement positive normative the government can increase labor productivity by improving public education. the government should provide basic healthcare to all citizens. the government should provide subsidies to domestic export industries. the federal reserve should take action to lower the inflation rate. society faces a short-run trade-off between inflation and unemployment