will give brainliest! thanks :)

Answer:

[tex]\displaystyle \frac{dh}{dt} = \frac{1}{20 \pi} \ cm/s[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Geometry

Calculus

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{r}{h} = \frac{2}{3} \\\frac{dV}{dt} = 5 \ cm^3/s\\h = 15 \ cm[/tex]

Step 2: Rewrite Cone Volume Formula

Find the volume of the cone with respect to height.

Step 3: Differentiate

Step 4: Find Height Rate

Find dh/dt.

Answer:

$374

Step-by-step explanation:

First you need to find how much money does the back pay per year

$200*7.25

=1450

1450/100

=14.5

Secondly you need to find how much does Catherine have in 12 years

14.5*12 years

=$174

Lastly add the money she already had 12 years ago to how much the bank payed in that 12 years

$200+$174

=$374

Answer:

x times x is x^2 for first area. second area is 3 times that so 3x times 3x you get 9x^2 for the second area. 9 - 1 times 100% would then be 800% larger.

Answer:

0.4245

Step-by-step explanation:

The probability that Z lies between -0.558 and 0.558 can be written as;

P(-0.558 < z < 0.558) = P(z < 0.558) - P(z < -0.558)

Using z - distribution table, we have;

P(z < 0.558) = 0.7122

P(z < -0.558) = 0.2877

Thus;

P(z < 0.558) - P(z < -0.558) = 0.7122 - 0.2877 = 0.4245

Answer:

1 /100

Step-by-step explanation:

Probability = (number of required outcomes / number of total possible outcomes)

Total possible outcomes = count of all 3 digit numbers ={100, 101,... 999} = 900

Required outcome = count of Three digit numbers with all 3 digits being the same = {111,222,333,444,555,666,777,888,999} = 9

Hence, probability that selected number has all 3 digits being the same :

9 / 900 = 1 /100

Answer:

8.333

Step-by-step explanation:

F(x) α 1/ x

F(x) = k/x

F(x) = 25 ; x = 6

Lets use the information above to obtain the value of k

25 = k/6

k = 25 * 6 = 150

k = 150

Therefore, the value of f(x) when x = 18 will be :

Using the relation :

F(x) = k/x

k = 150, x = 18

F(x) = 150 / 18

F(x) = 8.333

Answer:

730% 23% and 40%

Step-by-step explanation:

.......

Answer:

1/20

Step-by-step explanation:

Take 1/12 and 2/15 and find a common denomitator of 180 then multiply the tops to get 24/180 for 1/2 and 15/180 for 2/15 and then subtract to get 9/180

Finally simify to get 1/20

Answer:

a. The count of rolling an odd number from a sample proportion size of 100 can be approximated with a normal distribution.

Step-by-step explanation:

Whenever we roll a fair dice, the possible outcomes are { 1, 2, 3, 4, 5, 6}. In this three numbers are even numbers, i.e. {2, 4, 6}.

The probability of getting an even number is [tex]$p (\text{even}) =\frac{3}{6} = \frac{1}{2}$[/tex]

Since each of the rolls is independent and each probability of getting even remains the same.

Using the central limit theorem, the sampling distribution of a large sample, usually more than 30 can be approximated by the normal distribution. A single roll of an even or odd number cannot be approximated by a normal  distribution, it follows the Binomial distribution.

If number of rolls are large, then a normal approximation can be used.

Answer:

The count of rolling an odd number from a sample proportion size of 100 can be approximated with a normal distribution.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The perimeter is the sum of the sides, so we have

2x+x+15+4x-7=57

= 7x+8

Subtracting 8 from both sides, we get

7x= 49

Dividing 7 from both sides, we get

x=7

Our sides are then 2x=14, x+15=22, and 4x-7=21. 14 is our answer

Answer:

The shortest length of the triangle is: 14

Hence, option B is correct.

Step-by-step explanation:

Given the triangle with the lengths

Given that the perimeter of triangle = P = 57

We know that the perimeter of a triangle is the sum of the lengths of the sides of a triangle.

so

[tex]P = (x+15)+(4x-7)+(2x)[/tex]

substitute P = 57

[tex]57 = (x+15)+(4x-7)+(2x)[/tex]

switch sides

[tex]\left(x+15\right)+\left(4x-7\right)+\left(2x\right)=57[/tex]

[tex]x+15+4x-7+2x=57[/tex]

Group like terms

[tex]x+4x+2x+15-7=57[/tex]

Add similar elements

[tex]7x+15-7=57[/tex]

[tex]7x=49[/tex]

divide both sides by 7

[tex]\frac{7x}{7}=\frac{49}{7}[/tex]

simplify

[tex]x=7[/tex]

Now, measuring the lengths by substituting x = 7

Therefore, the shortest length of the triangle is: 14

Hence, option B is correct.

Answer:

The cat weighs 2860 g more

Step-by-step explanation:

Convert the cats weight (3.1 kg) to grams.

Subtract the cats weight and the parakeets weight to find total.

In this case 3100 g (cats weight) - 240 g (parakeets weight) = 2860 g

Answer:

Step-by-step explanation:

1 no.. not continuous

2no.. not continuous

3 yes , over a certain range it is

4no b/c it fails the vertical line test.. there is more than one point on the x axis

5no  multiple point on the x axis and not continuous

6 yes, over a certain range

Answer:

[tex]Amount = 8.31[/tex]

Step-by-step explanation:

Given

[tex]Rate = 6 + 0.77t[/tex]

Required

Determine the gallons of oil lost between 1pm to 4pm

[tex]Rate = 6 + 0.77t[/tex]

Where t represents number of hours

First, we need to calculate the duration between 1pm and 4m.

[tex]t = 4pm - 1pm[/tex]

[tex]t = 3\ hours[/tex]

Substitute 3 for t in [tex]Rate = 6 + 0.77t[/tex]

[tex]Amount = 6 + 0.77 * 3[/tex]

[tex]Amount = 6 + 2.31[/tex]

[tex]Amount = 8.31[/tex]

Hence, 8.31 gallons of oil has been lost

9514 1404 393

Answer:

  5x -3y = -21

Step-by-step explanation:

The parallel line will have the same x- and y-coefficients, but a constant suitable for the given point.

  5x -3y = constant

  5(-6) -3(-3) = constant = -30 +9 = -21

The equation of the line is ...

  5x -3y = -21

Answer:

4 14/15 more pounds of roast beef

Step-by-step explanation:

subtract 4 2/3 from 9 3/5

9 3/5 - 4 2/3= 4 14/15

So your answer is 4 14/15

Answer:

NO.

Step-by-step explanation:

An irrational number cannot be written as a fraction.

Answer:

14

Step-by-step explanation:

In 70/5 the dividend is 70 and the divisor is 5 .

First draw a number line from zero to the dividend.

Next, starting from 70 skip count by the divisor backwards till you reach 0.

The numbers of skips taken to reach zero is the result, also called, the quotient. In this case there are 14 skips .

Answer:

Length of a side of a square = 2√2 units

Step-by-step explanation:

Let the length of a square is 'x' units.

Therefore, Area of the square A = (Side)²

                                                      = x² square units

And by Pythagoras theorem,

(Diagonal)²= (Side 1)² + (Side 2)²

                 = x² + x²

                 = 2x²

Diagonal 'p' = x√2 units

It is given in the question that area of the square is increasing four times as fast as the diagonals.

[tex]\frac{d(A)}{dt}=4(\frac{dp}{dt} )[/tex] -------(1)

[tex]\frac{d(A)}{dt}=\frac{d(x^2)}{dt}[/tex]

[tex]\frac{d(A)}{dt}=2x\frac{d(x)}{dt}[/tex]

Similarly, [tex]\frac{d(p)}{dt}=\frac{d(x\sqrt{2})}{dt}[/tex]

                      [tex]=\sqrt{2}\frac{dx}{dt}[/tex]

Now by placing the value of [tex]\frac{d(A)}{dt}[/tex] and [tex]\frac{d(p)}{dt}[/tex] in equation (1),

[tex]2x\frac{dx}{dt}=4\sqrt{2}\frac{dx}{dt}[/tex]

[tex](2x - 4\sqrt{2})\frac{dx}{dt}=0[/tex]

Since, [tex]\frac{dx}{dt}\neq 0[/tex]

[tex](2x - 4\sqrt{2})=0[/tex]

x = 2√2

Therefore, length of a side of the square is 2√2.

Answer:

Step-by-step explanation:

The distance required is the length of the tunnel added to the length of the train

Time is:

Answer:

f(x) = x² + 5

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

y - x² = 5

Step 2: Rewrite

Answer:

30 times three

Step-by-step explanation:

because all the bottom number are multiplying buy three.

Answer:

34 652 is the number.Know find the ten place which is the (5).

Answer:

24 ÷ ( 8 - 2 )

= 24 ÷ 6

= 4

so, 4 is the answer

Answer:

on your question it says “=“ but on the picture it says “÷”

so for 24=(8-12) it would be 30

and for 24÷ (8-12) it would be -6

Step-by-step explanation:

Hope this helps, have a good day

===================================================

Work Shown:

Subtract the values to get 2.1-1.5 = 0.6

Brianna is off by 0.6 liters

Divide that error by the true value 1.5 to get 0.6/1.5 = 0.40

Then move the decimal point 2 spots to the right to arrive at 40%

Therefore, the percent error is 40%

------------------

The formula you can apply is:

[tex]P = \frac{|G-T|}{T}*100\%[/tex]

where

P = percent error

G = guess value (in this case it is 2.1)

T = true value (which is 1.5 in this case)

If we were to apply the formula, then we get:

[tex]P = \frac{|G-T|}{T}*100\%\\\\P = \frac{|2.1-1.5|}{1.5}*100\%\\\\P = \frac{|0.6|}{1.5}*100\%\\\\P = \frac{0.6}{1.5}*100\%\\\\P = 0.40*100\%\\\\P = 40\%\\\\[/tex]

Answer:

The missing value is 1

Step-by-step explanation:

We need to find the missing value, if the expression is equal to 12.

The given expression is: [tex]\frac{(8+?)}{\frac{3}{4} }[/tex]

and the expression is equal to 12, so we can write: [tex]\frac{(8+?)}{\frac{3}{4} } = 12[/tex]

Solving to find the missing term

[tex]\frac{(8+?)}{\frac{3}{4} } = 12\\(8+?) \div (\frac{3}{4})=12\\Converting\:division\:sign\:to\:multiplication\:and\:reciprocating\:the\:term\\ (8+?) \times (\frac{4}{3})=12\\8+?=12 \times \frac{3}{4}\\8+?=3 \times 3\\8+? = 9\\? = 9-8\\?=1[/tex]

So, the missing value is 1

Answer:

Solution will be 1/15625

Step-by-step explanation:

Substitute the value of first term for ar^(4-1) for the third term with 1/25 on RHS, make r the subject (which is the common ratio)

you'll get r as 1/5

Now for the eighth term, replace the "4" in the formula with "8" and a with "5" and observe the magic.

Answer:

1&3 are supplementary

3&6 are congruent

4&5 are supplementary

2&3 are congruent

1&6 are supplementary (not sure about this one)

Step-by-step explanation: