False

True

**Answer:**

True

**Step-by-step explanation:**

If the discriminant [tex]D=b^2-4ac < 0[/tex], then there are two complex roots

If the discriminant [tex]D=b^2-4ac > 0[/tex], then there are two real roots

If the discriminant [tex]D=b^2-4ac=0[/tex], then there is only one real root

True is the correct answer for this problem

Erica is 33 years old. She has $580 in a checking account, $3400 in a savings

account, $22,000 in a retirement account, and owns a car worth $7700. What

is the total value of her liquid assets?

A. $3400

B. $3980

C. $33,680

D. $29,700

The **total value** of her **liquid** **assets** would be = $3,980. That is **option ****B.**

An **asset** is said to be a liquid asset because it can easily be **converted** into cash in a short period of time.

**Examples** of liquid assets include the following:

Therefore, the total value of liquid assets = $580+$3400 = $**3980**

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Write the quadratic equation in standard form that corresponds to the graph shown below.

The **quadratic equation** in standard form that corresponds to the given graph is [tex]f(x) = (-4/9)(x + 2)^2 + 4[/tex]

To determine the quadratic equation in standard form that corresponds to the given graph, we need to identify the key features of the parabola. From the graph, we can see that the parabola opens upwards and **intersects **the y-axis at the point (0, c). We can also observe that the vertex of the parabola lies at the point (h, k).

The standard form of a quadratic equation is given as follows:

[tex]f(x) = a(x - h)^2 + k[/tex]

Where (h, k) represents the coordinates of the vertex, and 'a' is a constant that determines the **shape **and direction of the parabola.

Looking at the graph, we can determine the vertex by identifying the x-coordinate where the **parabola **reaches its highest or lowest point. Let's assume the vertex is located at the point (h, k).

From the graph, it appears that the **vertex **lies at (-2, 4). Therefore, we have h = -2 and k = 4.

Now we can rewrite the equation as:

[tex]f(x) = a(x + 2)^2 + 4[/tex]

Next, we need to **determine **the value of 'a'. To do this, we can use another point on the graph. Let's consider the point (1, 0).

Plugging in the **coordinates **(1, 0) into the equation, we get:

[tex]0 = a(1 + 2)^2 + 4[/tex]

0 = 9a + 4

9a = -4

a = -4/9

Now we have the value of 'a'. **Substituting **it back into the equation, we get:

[tex]f(x) = (-4/9)(x + 2)^2 + 4[/tex]

Thus, the quadratic equation in standard form that corresponds to the given graph is:

[tex]f(x) = (-4/9)(x + 2)^2 + 4[/tex]

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helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp

**Answer: $1.50 for every 1 pound**

**Step-by-step explanation:**

If 2 pounds equal to $3.00 divide $3.00 by 2 and you end up with $1.50, you can also keep adding $1.50 to get the other prices.

Solve for x. Round your answers to two decimal places.

2x2 + 7x = 3

**Answer:**

[tex]x\approx0.39,-3.89[/tex]

**Step-by-step explanation:**

[tex]\displaystyle 2x^2+7x=3\\2x^2+7x-3=0\\\\x=\frac{-7\pm\sqrt{7^2-4(2)(-3)}}{2(2)}\\\\x=\frac{-7\pm\sqrt{49+24}}{4}\\\\x=\frac{-7\pm\sqrt{73}}{4}\\\\x\approx0.39,-3.89[/tex]

8 minutes before 6=?

**Answer:**

5:52

**Step-by-step explanation:**

**Answer: 5:52**

**Step-by-step explanation:**

A 27 - foot ladder is leaning against the wall. If the top of the ladder touches 22.5 feet up the wall, what is the angle evaluation of the ladder

**Answer:**

**Step-by-step explanation:**

a shade of paint purple berry can be made by mixing red and blue paint in the ratio 5:2. Emma has 30 litres of red paint and 10 litres of blue paint.work out the maximum volume of purple berry that can be made

Answer:The max volume of Purple berry paint is 85

Step-by-step explanation:

Purple = Red + Blue

P = 5 : 2

Simplify 5 : 2 which is 2.5 : 1

P = 30L : 10L

P = (30 x 2.5 ) + (10 x 1)

P = 75 + 10

P = 85 L

100 Points! Geometry question. Find each measure. Photo attached. Please show as much work as possible. Thank you!

**Answer:**

a. **73°**

**b. 98°**

**Step-by-step explanation:**

In quadrilateral EFGH

∡E+∡G=180° sum of opposite angle of quadrilateral inside the circle is 180°

substituting value

11x+8+8x+1=180°

19x+9=180°

19x=180=9

19x=171

x=171/19

x=9°

similarly,

∡H+∡F=180° sum of opposite angle of quadrilateral inside the circle is 180°

substituting value

6y-4+5y-3=180°

11y-7=180°

11y=180°+7

11y=187°

y=187/11

y=17°

Now

a. m∡G=8x+1=8*9+1=**73°**

b. m∡H=6y-4=6*17-4=**98°**

Need the answer ASAP

**Answer: A. x=3 y= -1 z=4**

**Step-by-step explanation:**

I plugged it into my graphing calculator.

>2nd Matrix

>Edit >A

>choose 3x3

>Enter all coefficients as they look

>2nd Matrix

>Edit >B

>Choose 3x1

>Enter answers as they look

Go to main page

[tex][A]^{-1} [B]\\[/tex]

Answers end up being 3, -1, 4

Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.

Giving brainliest

Pick A, B, C, or D

Yes, answer B is correct. They are proportional

100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!

**Answer:**

Answers following the rounding instructions: *see below for details*

BC = 5.1

m∠B = 23°

m∠V = 116°

**Step-by-step explanation:**

Givens:

AC = 3

AB = 7

m∠A = 41°

Unknowns:

BC = ?

m∠B = ?

m∠C = ?

Find side BC using the law of cosines: c² = a² + b² - 2ab cos(C)

a² = 3² + 7² - 2(3)(7)(cos41)

a = √9 + 49 - 42(cos41)

a = 5.128 ≈ 5.13

side BC = **5.13**

Use the law of sines to find m∠B: sin(A) / a = sin(B) / b = sin(C) / c

m∠B = sin⁻¹[sin41/5.13 x 3] = sin⁻¹(0.3837) = 22.56 ≈ **22.6°**

Sum of interior angles of a triangle is 180, so now you can find m∠C:

m∠C = 180 - 22.6 - 41 = 116.44 ≈ **116.4°**

Rounding side BC to nearest tenth: ** BC = 5.1**

Rounding angles to nearest whole degree:

**m∠B = 23°**

**m∠V = 116°**

Given that tanx = 10 and sinx is negative, determine sin(2x), cos(2x), and tan(2x)

**Sin(2x)** = 20 x cos²(x), **cos(2x)** = -99 x cos²(x), and tan(2x) = -20/99.

To find the values of sin(2x), cos(2x), and tan(2x) using the given information, use **trigonometric** **identities** to express them in terms of tan(x) and sin(x).

Given that tan(x) = 10 and sin(x) is negative. Since tan(x) = sin(x)/cos(x), find cos(x) using the given information.

Let's solve for cos(x) first:

tan(x) = sin(x)/cos(x)

10 = sin(x)/cos(x)

Now, let's find sin(x) using the given information that sin(x) is negative:

Since tan(x) = sin(x)/cos(x) and tan(x) = 10, substitute 10 for sin(x)/cos(x):

10 = sin(x)/cos(x)

Multiplying both sides by cos(x):

10 x cos(x) = sin(x)

Now, sin(x) = 10 x cos(x).

Since sin(x) is negative, conclude that cos(x) must be positive.

Now, let's use the **double-angle identities** to find sin(2x), cos(2x), and tan(2x):

sin(2x) = 2 x sin(x) x cos(x)

cos(2x) = cos²(x) - sin²(x)

tan(2x) = sin(2x) / cos(2x)

Substituting sin(x) = 10 x cos(x) into the above formulas, express sin(2x), cos(2x), and tan(2x) in terms of cos(x):

sin(2x) = 2 x (10 x cos(x)) x cos(x) = 20 x cos²(x)

cos(2x) = cos²(x) - (10 x cos(x))² = cos²(x) - 100 x cos²(x) = -99 x cos²(x)

tan(2x) = sin(2x) / cos(2x) = (20 x cos²(x)) / (-99 x cos²(x)) = -20/99

Therefore, sin(2x) = 20 x cos²(x), cos(2x) = -99 x cos²(x), and tan(2x) = -20/99.

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100 Points! Geometry question. Photo attached. Find the area of the figure. Round to the nearest tenth if necessary. Please show as much work as possible. Thank you!

**Answer:**

**626.71 cm^2**

**Step-by-step explanation:**

**Area of figure = area of half circle + Area of half circle + area of a rectangle**

here, diameter=15 cm

radius = 15/2=7.5 cm

length=30cm

breadth=15cm

Now

Area of figure = 1/2*π*radius^2+ 1/2*π*radius^2+length*breadth

=1/2* 1/2*π*7.5^2+1/2* 1/2*π*7.5^2+30*15

=626.71 cm^2

An oven used 7.31 units of electricity over

4 hours.

What is the rate of electricity usage for this

oven in units per hour?

Give your answer to 1 d.p.

The rate of **electricity usage **for the oven is 1.8275 units per hour.

The **electricity consumption **represents the amount of electrical energy that has been **consumed** over a specific time in units of Wh (or kWh),

To get **rate **of electricity usage for the oven in units per hour, we will divide the total electricity used by the number of hours.

**Data**:

Electricity used: 7.31 units

Time: 4 hours

Rate of electricity usage = Electricity used / Time

Rate of electricity usage = 7.31 units / 4 hours

Rate of electricity usage = 1.8275 units per hour.

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The Burj Khalifa, located in Dubai in the United Arab Emirates, is the tallest building in the world as of 2022. Andre visited Dubai over winter break. He stood 1000 meters away from the building, looked up at a 39.62 degree angle using a laser rangefinder and spotted the top of the building.

Andre

If every floor is 5.079 meters tall, how many floors are there in the Buri Khalifa?

The **Burj** **Khalifa**, located in Dubai in the United Arab **Emirates**, is the tallest building in the world as of 2022, there are approximately 148 floors in the Burj Khalifa.

We can make use of the **data** given to determine the Burj Khalifa's floor count.

Andre is known to have stood 1,000 **metres** away from the structure and turned his head to look up at a 39.62 degree angle.

Let's write "h" for the Burj Khalifa's **height** and "d" for Andre's distance from the building's base.

tan(39.62°) = h / d

h = d * tan(39.62°)

h = 1000 * tan(39.62°) ≈ 753.7 meters

So, as per this, Number of floors = h / floor height

Number of floors = 753.7 meters / 5.079 meters

Number of floors ≈ 148.4 floors or 148 floors.

Thus, 148 floors are there in **Burj Khalifa**.

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b. Does there appear to be any relationship between these two variables?

a. colder average low-temperature seems to lead to higher amounts of snowfall

b. there is no relationship

c. colder average low-temperature seems to lead to lower amounts of snowfall

c. Based on the scatter diagram, comment on any data points that seem to be unusual.

an average snowfall of nearly 100 inches.

a. no city has

b. only one city has

c. two cities have

d. three cities have

e. four cities have

f. more than four cities have

1. There is **no relationship**

2. Two cities have an **average snowfall **of nearly 100 inches.

What is the scatter plot?

A **scatter plot**, also known as a scatter diagram or scatter graph, displays the relationship between two variables. It is particularly beneficial for identifying any patterns or trends in the data and showing how one variable might be related to another.

In a scatter plot, each data point is represented on the graph by a dot or marker. The **horizontal axis** (x-axis) is frequently used to represent the independent variable or predictor, while the vertical axis (y-axis) is frequently used to represent the dependent variable or reaction. Each dot's locations on the graph correspond to the values of the two variables for that particular data point.

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Help Quickly! A truck needs 7 gallons of fuel to travel 56 miles. Can the truck travel 48 miles with 6 gallons of fuel? Explain.

Giving brainliest

Yes, 7/56 and 6/48 are **proportional **because 7×48 = 56×6. Therefore, the correct answer is option B.

Given that, a truck needs 7 gallons of fuel to travel 56 miles.

The truck travel 48 miles with 6 gallons of fuel.

Here, the proportion is

7:56::6:48

We know that, the proportion is **product **of extremes = product of means

7×48 = 56×6

336 = 336

Therefore, the correct answer is option B.

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Can someone help me with 12 & 13. And show your work!

**Answer:**

please see answers below

**Step-by-step explanation:**

Volume of sphere = (4/3) X π X r ³

volume of hemisphere = (2/3)X π X r ³

12) volume of hemisphere = (2/3)X π X r ³

= (2/3) X π X (5)³

= (250/3)π

= 261.80 km³ to nearest hundredth

13) 18 foot is the diameter. radius = 1/2 X diameter = 9.

volume of hemisphere = (2/3)X π X r ³

= (2/3) X π X (9) ³

= 1526.81 ft³ to nearest hundredth

A sample of 22 observations selected from a normally distributed population produced a sample variance of 18 . a. To see if the population variance differs from 14 write the null and alternative hypotheses. b. Using �=.05α=.05, find the critical values of �2χ2. Display the chi-square distribution curve's rejection and nonrejection areas. c. Determine the test statistic �2χ2 value. d. Will you reject the null hypothesis presented in component an at a 5% significance level?

The degrees of freedom is 21, the **critical values **correspond to the points where the chi-square distribution curve separates the rejection and **non-rejection **areas and chi-square test statistic is 27.

The null and alternative hypotheses can be stated as follows:

**Null Hypothesis** (H0): The population variance is equal to 14.

Alternative Hypothesis (Ha): The population variance differs from 14.

To find the critical values of χ2 with α = 0.05, we need to determine the degrees of freedom first.

For a sample variance, the **degrees** of freedom (df) is given by (n - 1), where n is the sample size.

In this case, n = 22, so the degrees of freedom is 21.

Using a chi-square table or statistical software, we can find the critical values for a chi-square distribution with 21 degrees of freedom and α = 0.05.

The **critical values **correspond to the points where the chi-square distribution curve separates the rejection and non-rejection areas.

To determine the test statistic χ2 value, we need to calculate the chi-square test statistic using the given information.

The chi-square **test statistic** is calculated as:

χ2 = (n - 1) ×(sample variance) / (population variance)

Plugging in the values, we have:

χ2 = (22 - 1) × 18 / 14

=27

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pls help me solve this asap

**Answer:**

150

**Step-by-step explanation:**

the formula for this is 2a squared + 4 a h

when we plug everything in we end up getting 2*3 squared + 4*3*11

and when solved it gets toy 150

100 Points! Geometry question. Photo attached. Use the Pythagorean Theorem to find x. Please show as much work as possible. Thank you!

The value of x is **approximately **34.02.

Given that in a **rectangle **with length 31 and width is 14 and the diagonal length is x.

To find the value of x using the **Pythagorean **Theorem, we can consider the rectangle as a right **triangle**, where the length and width of the rectangle form the two sides of the **triangle**, and the diagonal length (x) is the **hypotenuse**.

According to the **Pythagorean **Theorem, the square of the hypotenuse is equal to the sum of the **squares **of the other two sides.

Applying the given data gives,

[tex]x^2 = length^2 + width^2[/tex]

**Substituting **the given values into the equation:

**diagonal **length [tex]x^2 = 31^2 + 14^2[/tex]

**diagonal **length [tex]x^2[/tex] = 961 + 196

**diagonal **length [tex]x^2[/tex] = 1157

To find x, we take the **square **root of both sides:

**diagonal **length x = [tex]\sqrt{1157}[/tex]

**diagonal **length x = 34.02

Therefore, the value of x is **approximately **34.02.

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Question #3

Determine if the following scenario is best described as an observational study, survey, or experiment.

A researcher wants to determine the effects of eating a vegan diet on overall health. The researcher finds 200 individuals, where

of them have eaten vegan for the past five years and the other 100 have not eaten vegan for the past five years. The participants

each given a health assessment and the data is analyzed in order to draw conclusions about how eating vegan can affect one's

overall health.

Experimental Study

Observational study

Saved Survey

The type of** sytudy **that we have here is the** observational study.**

What is the observational study?

In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.

In this case, the** researcher i**s observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.

The** participants **are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.

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how many inches is it from end to end on a bed that is 6 feet long? It is measured in the.

The calculated **inches **from end to end on the **bed **is 72 inches

From the question, we have the following parameters that can be used in our computation:

**Length **= 6 feet long

By **conversion **of units, we have

1 feet = 12 inches

using the above as a guide, we have the following:

Length = 6 * 12 inches long

Evaluate the **products**

Length = 72 inches long

Hence, the **inches **from end to end on the **bed **is 72

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Find the area of the following rectangle. a = 12 ft b = 14 ft A = ft 2

**Answer:**

**The area of the rectangle is 168 ft².**

**Step-by-step explanation:**

Formula: A = lw

where l and w are the length and width of the rectangle respectively.

We're given with the length and the width as

a = 12 ft

b = 14 ft

Let's solve for the area using the formula above.

A = lw

A = 12ft(14ft)

**A = 168 ft²**

A stainless steel patio heater is a square pyramid. the length of one of the base is 23.8. The slant height of the pyramid is 89.3 in. What is the height of the pyramid?

To find the height of the square pyramid, we can use the Pythagorean theorem. The slant height of the pyramid (s) is the hypotenuse of a right triangle formed by the height (h), half the length of the base (b/2), and the slant height.

Using the Pythagorean theorem:

s^2 = (b/2)^2 + h^2

We are given that the length of one of the base sides (b) is 23.8 and the slant height (s) is 89.3.

Plugging in the values:

89.3^2 = (23.8/2)^2 + h^2

Simplifying:

h^2 = 89.3^2 - (23.8/2)^2

h^2 = 7950.49 - 141.64

h^2 = 7808.85

Taking the square root of both sides:

h = √7808.85

h ≈ 88.37

Therefore, the height of the square pyramid is approximately 88.37 inches.[tex]\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}[/tex]

♥️ [tex]\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}[/tex]

Pls help me with this asap

Container #1 is the only one **large enough **to hold the contents of a one liter bottle of soft drink.

Container #1: The volume **formula **for a cylinder is V = πr²h, where r is the radius and h is the height.

Radius (r) = 8 cm / 2 = 4 cm

Height (h) = 19 cm

So, V1 = π(4 cm)²(19 cm)

≈ 3032.07 cm³

**Container **#2:

Radius (r) = 5 cm

Height (h) = 12 cm

Using the formula:

V2 = π(5 cm)²(12 cm)

≈ 942.48 cm³

**Container **#3:

Diameter (d) = 12 cm

Radius (r) = 12 cm / 2 = 6 cm

Height (h) = 10 cm

V3 = π(6 cm)²(10 cm)

≈ 1130.97 cm³

Now, **Comparing **the volumes:

V1 ≈ 3032 cm³

V2 ≈ 942 cm³

V3 ≈ 1131 cm³

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**Answer:**

38.9 in²

**Step-by-step explanation:**

You want the **area of the composite figure** that is an **8-inch square** with a **semicircle removed**.

The missing semicircle has a diameter of 8 in, so a radius of 4 in. The area of that half-circle is ...

A = 1/2πr² = (π/2)(4 in)² = 8π in² ≈ 25.1 in²

Square areaThe area of the square without the semicircle removed is ...

A = s² = (8 in)² = 64 in²

Composite areaAfter removing the semicircle from the square, the remaining area is ...

A = square area - semicircle area

A = 64 in² -25.1 in² = 38.9 in²

**The area of the figure is about 38.9 square inches**.

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The cafeteria lunch menu lists:

Pizza Cheese, Sausage, Pepperoni

Dessert - Pudding or Cookie

Drink-Water, Milk, Soda

How many different lunch meals can you construct from these choices?

O 18

O

O 81

03

**Answer: 18**

**Step-by-step explanation:**

Multiply number of each item possible

3*2*3=18

I NEED HELP WITH MATH STATISTICS

The **limits **for the **95% confidence interval **are given as follows:

A confidence interval of proportions has the **bounds **given by the rule presented as follows:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which the **variables **used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the** critical value **is z = 1.96.

The **parameters **for this problem are given as follows:

[tex]n = 225, \pi = \frac{159}{225} = 0.7067[/tex]

Then the** lower bound** of the interval is given as follows:

[tex]0.7067 - 1.96\sqrt{\frac{0.7067(0.2933)}{225}} = 0.65[/tex]

The **upper bound **of the interval is given as follows:

[tex]0.7067 + 1.96\sqrt{\frac{0.7067(0.2933)}{225}} = 0,77[/tex]

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ILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST SOMEBODY PLEASE PLEASE HELP ME IM BEGGING YOU

**Answer:**

B Mean: 17.5 | W Mean: 20.5 | B Mode: 15 | W Mode: 20.5 | B Mode: 14 & 15 | W Mode: 20 & 21 | B Range: 17 | W Range: 3

**Step-by-step explanation:**

Find by implicit differentiation. dy dx y cos(x) = 4x + 3y dy dx
which of the following is a money-market security, issued by large banks and medium-to-large corporations, that matures in nine months or less? multiple choice a.commercial paper b.banker's paper c.commercial acceptance d.banker's acceptance
bromine is a liquid at room temperature and it has a density of 3.12 at 25 degrees. what volume is occupied by 50 grams
On January 1, Year 1, Indiana Water (lessor) and Koontz Lake (lessee) agreed to a 9-year lease for equipment that has an economic life of 10 years. Koontz Lake made its first annual payment on January 1, Year 2 for $3,000. Thereafter, eight more annual payments are due. Title reverts to Koontz Lake at the end of the lease term. The equipment has a fair market value at the lease inception date of $20,500. The discount rate is 5%.Which one of the lease conditions below is not met?Select one:A. The lease term is at least 75% of the asset's remaining economic life.B. The present value of the minimum lease payments is at least 90% of the leased asset's value.C. The lease agreement transfers ownership of the leased asset.D. The lease agreement contains a bargain purchase option.
Test the series for convergence or divergence. Use the Select and evaluate: lim 1-100 = (Note: Use INF for an infinite limit.) Since the limit is Select Select n=1 n! 129"
Find the equation perpendicular to 2x-y=4 and pass through (2,4)
value creation through place decisions for a consumer product involves
Implement the generator function scale(s, k), which yields elements of the given iterable s, scaled by k. As an extra challenge, try writing this function using a yield from statement!def scale(s, k):"""Yield elements of the iterable s scaled by a number k.>>> s = scale([1, 5, 2], 5)>>> type(s)>>> list(s)[5, 25, 10]>>> m = scale(naturals(), 2)>>> [next(m) for _ in range(5)][2, 4, 6, 8, 10]""""*** YOUR CODE HERE ***"
The exponorial function tx)e 569(1 026) models the poculation of a country, foo, in miltions, x years after 1972: Complete parts (a) - (e)a. Substute o for x and, without using a calcu ator, find the countrys population in 1912The country population in 1972 was mition.b Substitute 7 for x and use your calculator to lod the countrys population, to the nedrest milionin theThe country's popolation in 1999 was mition.cafima tho ccontry e ocou ation to me nostost mealo mo vomrono as creditos ay mas tonesnThe countrys population in 2028 wit be milien
two oscillating systems that you have studied are the block-spring and the simple pendulum. there is an interesting relation between them. suppose that you have a weight on the end of a spring, and when the weight is in equilibrium, the spring is stretched a distance h. show that the frequency of this block-spring system is the same as that of a simple pendulum whose length is h.
The role responsible for managing the day-to-day operations of the ERP project is______________.a.Project Teamb.Project Managerc.Program Managerd.Steering Committee
Maria Turner has just graduated from college with a degree in accounting. She had planned to enroll immediately in the master's program at her university but has been offered a lucrative job at a well-known company. The job is exactly what Maria had hoped to find after obtaining her graduate degree. In anticipation of master's program classes, Maria has already spent $450 to apply for the program. Tuition is $8,000 per year, and the program will take two years to complete. Maria's expected salary after completing the master's program is approximately $60,000. If she pursues the master's degree, Maria would stay in her current home that is near the campus and costs $600 per month in rent. She would also remain at her current job that pays $25,000 per year. Additionally, Maria's immediate family is nearby. She spends considerable time with family and friends, especially during the holidays. This would not be possible if she accepts the job offer because of the distance from her new location. The job Maria has been offered includes a salary of $50,000. She would have to relocate to another state, but her employer would pay the $5,000 for moving expenses. Maria's rent in the new location would be approximately $800 per month. The new location is a fast- growing, active city that offers a number of cultural activities that Maria would enjoy. The city is also home to Maria's favorite Major League Baseball team, and she would expect to buy season tickets. Required: 1. Help Maria make her decision by categorizing the factors involved in making her choice. Complete the following chart regarding the factors in Maria's decision. A single factor may have multiple yes answers. 2. For each of the following items, identify the differential amount in Maria's alternatives. For example, the incremental cost of tuition is $16,000 if Maria chooses to pursue the master's degree.
What's the future value of a 12%, 5-year ordinary annuity that pays $400 each year? If this was an annuity due, what would its future value be? Do not round intermediate calculations. Round your answers to the nearest cent.Future Value of an Ordinary Annuity: $Future Value of an Annuity Due: $
Becky's company is considering an investment project. To start, Becky just needs to purchase an equipment priced at $5,000. The equipment will follow a straight-line depreciation over 10 years. Each year's depreciation is $500. The project will last 3 years. If Becky purchases the equipment for the project, the expected EBIT is $1000 each year in year 1-3. At the end of the year 3, the expected after-tax salvage value of the equipment is $4,200. The tax rate is 20%. Becky can also lease the same equipment for year 1-3 and the annual leasing cost is $600 paid at the end of each year. Becky's company has an optimal capital structure of 50% debt. Its cost of equity is 10% and before-tax cost of debt is 6%. Is the project worth doing? If yes, should Becky buy or lease the equipment?
.For several weeks, a wealthy, unemployed widow and a car dealer negotiated unsuccessfully over the purchase price of a new sports car. The car dealer knew the widow wanted her son to have the sports car as a wedding gift. On April 27, the car dealer sent the widow a signed, dated memo saying, "If we can arrive at the same price within the next week, do we have a deal?" The widow wrote "Yes" and her signature at the bottom of the memo and delivered it back to the car dealer on April 29. On May 1, the widow wrote the car dealer a signed letter offering to buy "one new sports car, with all available equipment, for $180,000 cash on delivery not later than June 1." By coincidence, the car dealer wrote the widow a signed letter on May 1 offering to sell her "one new sports car, with all available equipment, for $180,000 cash on delivery not later than June 1." These letters crossed in the mail and were respectively received and read by the widow and car dealer on May 2.In an action brought by the widow, if the car dealer denies that the parties had a binding contract on May 3, which of the following most persuasively supports the widow's position?
P(x)=1/5x-2x^2-5x^4-4Into standard formShow all workAnswer should be -5x^4-2x^2+1/5x-4URGENT
External governance control mechanisms include all of the following except a. mediab. auditors. c. board of directors d. analysts.
A teacher used the following activity to teach her elementary students about the process of science. She divided the students into teams of 3, provided them with paper, glue sticks, and scissors, and told them their goal was to build the highest tower, but only one student could touch the materials at a time. The teams would work as a relay, first one student building, with the other two coaching, then when a bell rings, switch builders, and so on until each student has had a chance to build.Which aspect of the scientific process was the teacher most likely trying to illustrate?a. A theory is an explanation based on general principles, observations, and conclusions.b. Peer review of data and conclusions is an important part of the scientific process.c. Scientific discoveries build on the discoveries of scientists who came before.d. Scientific theories do not become scientific laws.
Coaches can empower leaders by providing them with which of the following leadership responsibilities?a) Taking risks and making bold decisions.b) Inspiring and motivating team members.c) Being assertive and dominating discussions.d) Minimizing collaboration and teamwork.
HELP NOWOPTION 1: a 4 year loan with 6; simple intrest cost of the food truck: 50,000Total amount paid:________ Intrest paid:________ Monthly payment:________