Find the equation of the exponential function represented by the table below.

Answer: it’s D which is 60%, hope it helps

Answer:

The rate of change of the height is approximately [tex]-6.577\times 10^{-3}\,\frac{in}{min}[/tex].

Step-by-step explanation:

From Geometry we know that volume of cylinder ([tex]V[/tex]), measured in cubic inches, is expressed by:

[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)

Where:

[tex]r[/tex] - Radius, measured in inches.

[tex]h[/tex] - Height, measured in inches.

Given that volume remains constant, the expression for the rate of change of the height ([tex]\dot h[/tex]), measured in inches per minute, is:

[tex]2\pi\cdot r \cdot h \cdot \dot r + \pi \cdot r^{2}\cdot \dot h = 0[/tex]

[tex]2\cdot h\cdot \dot r + r\cdot \dot h = 0[/tex]

[tex]r\cdot \dot h = -2\cdot h \cdot \dot r[/tex]

[tex]\dot h = -\frac{2\cdot h\cdot \dot r}{r}[/tex]

[tex]\dot h = - \left(\frac{2\cdot \dot r}{r}\right)\cdot \left(\frac{V}{\pi\cdot r^{2}} \right)[/tex]

[tex]\dot h = -\frac{2\cdot \dot r \cdot V}{\pi\cdot r^{3}}[/tex] (2)

Where [tex]\dot r[/tex] is the rate of change of the radius, measured in inches per minute.

If we know that [tex]r = 44\,in[/tex], [tex]\dot r = 2\,\frac{in}{min}[/tex] and [tex]V = 440\,in^{3}[/tex], then the rate of change of the height is:

[tex]\dot h = - \frac{2\cdot \left(2\,\frac{in}{min} \right)\cdot \left(440\,in^{3}\right)}{\pi\cdot (44\,in)^{3}}[/tex]

[tex]\dot h \approx -6.577\times 10^{-3}\,\frac{in}{min}[/tex]

The rate of change of the height is approximately [tex]-6.577\times 10^{-3}\,\frac{in}{min}[/tex].

Answer:

Median is 6 Mode is 10

Step-by-step explanation:

Median is the middle number when all the numbers are lined up in order.

Mode is the number that shows up most frequently.

Answer:

Mode: 10

Median: 6

Step-by-step explanation:

Answer:

$450

Step-by-step explanation:

Answer:

Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained  by multiplying the first equation in A by 2.

Step-by-step explanation:

As given,

A : 6x + 8y = -10     .......equation (1)

     2x - 5y = 12      .......equation (2)

B : 8x + 3y = 2         .......equation (1)

  12x + 16y = - 20    .......equation (1)

Correct Answer is B. The first equation in B is the sum of the equations in A, while the other is obtained  by multiplying the first equation in A by 2.

Proof :

The first part says that ,

Sum of equation (1) of A and equation (2) of A = Equation (1) of B

Firstly , find the Sum of equation (1) of A and equation (2) of A

⇒6x + 8y + 2x - 5y = -10 + 12

⇒8x + 3y = 2

this is same as equation (1) of B

So, it satisfies the first part

The second part says that,

The equation (2) of B is obtained by multiplying the first equation in A by 2.

It means , if the equation (1) is multiplied by 2 = equation (2) of B

Firstly , if the equation (1) is multiplied by 2 , we get

2 ( 6x + 8y = -10 )

⇒ 2 ( 6x + 8y ) = 2 ( -10)

⇒ 12x + 16y = -20

this is same as equation (2) of B

So, it satisfies the second part.

Answer:

Option C is the correct answer.

Step-by-step explanation:

Per week earning = $8

Amount in savings = $12

y = Total amount

x = Number of weeks

y = 8x + 12

Where we can put x=4 to calculate earning of 4 weeks.

y = 8(4) + 12

y = 32 + 12 = $44

Therefore,

Option C is the correct answer.

Answer: 2x and y= 4+

Step-by-step explanation:

x = 2 times 2 and so on....

y = 4 plus 4 plus 4 etc....

Answer:

3 miles

Step-by-step explanation:

Slope is simply the change in position per unit rate. We could conclude that the steepness of the Applachian is the rate of change in position per unit time. Since the distance hiked on the Applachian is said to be 3 miles per hour, then we can conclude that the slope of the applachian is 3 miles

This is the change in miles / change in time.

Chang in miles = 3

Change in time = 1

Slope = 3/1

Slope = 3

Answer:

20

Step-by-step explanation:

5/ 1/4 --> 5 x 4 (flip the 1 and 4 in 1/4)

Answer: the placement/ digest are the same but because on is positive and the other is negative, the answer will be different

Step-by-step explanation:

Answer:

different y-intercepts; same slopes
Step-by-step explanation:

if x=0, then y=7,-7

Answer:

5% of the time or in a decimal it's 0.05

Answer:

a

Step-by-step explanation:

Answer: There are no solution

Step 1: Simplify both sides of the equation.

3(x+5)−3=2(3x+1)−3x

(3)(x)+(3)(5)+−3=(2)(3x)+(2)(1)+−3x(Distribute)

3x+15+−3=6x+2+−3x

(3x)+(15+−3)=(6x+−3x)+(2)(Combine Like Terms)

3x+12=3x+2

3x+12=3x+2

Step 2: Subtract 3x from both sides.

3x+12−3x=3x+2−3x

12=2

Step 3: Subtract 12 from both sides.

12−12=2−12

0=−10

After solving the equation, the value obtained for x is 0, which means that there is no solution for the equation.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given equation mentioned in the question,

3(x + 5) - 3 = 2(3x + 1) - 3x

Let's simplify the equation first,

3x + 15 - 3 = 6x + 2 - 3x

Now, rearrange the equation with similar terms on each side,

3x + 3x - 6x = 3 +2 - 15

0 = -10, then there is no solution.

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Answer:

6 + 3h ≤ 27

Step-by-step explanation:

hope this helpsss

Answer:

7.28

Step-by-step explanation:

You have to know the same rate for $4.16 for 4 tomatoes. Think about it

Answer:

-5.6

Step-by-step explanation:

first distribute the 2.5

also convert the 2/5 to decimal (0.4) because it's hard to work with both decimal and fraction

2.5y + 2.5*0.4 = -13

2.5y +1 = -13

y = -14/2.5 = -5.6

Answer:

32x +20

Step-by-step explanation:

Answer:

32x+20

Step-by-step explanation:

If you use distributive property you would multiply each number by 4. 4 times 8x is 32x and 4 times 5 is 20, and when you put those together you get 32x+20!

I hope this helps, and have a great day!

Answer: k=1

Step-by-step explanation: PQ already equals ST

Answer:

15

Step-by-step explanation:

75.00 - 20% is 60

60 + (tax 15) is 75.00

So I'm guessing that the tax rate is 15

Answer:

49 pages

237/3 = 79.

30+49 = 79

Answer:

Team blue points = 4 points

Team green points = 16 points

Step-by-step explanation:

Let

Team blue points = x

Team green points = (x + 12) points (1)

Team green points = 4x (2)

Equate equation (1) and (2)

x + 12 = 4x

12 = 4x - x

12 = 3x

x = 12/3

x = 4 points

Team blue points = x

= 4 points

Team green points = (x + 12)

= 4 + 12

= 16 points

Team green points = 4x

= 4(4)

= 16 points

Answer:

= 10y − 6 is your answer

Step-by-step explanation:

option B is correct, 25y²-30y+9 is the product of (5y − 3)².

The combination of numbers, variables, and operators is known as Expression.

The given expression is (5y − 3)²

The process of determining the product of two or more numbers is Multiplication.

The expression is five times of y minus three to the power of two.

From algebraic identity we have (a-b)²=a²+b²-2ab

Now (5y − 3)²

(5y)²+3²-2(5y)(3)

25y²+9-30y

Twenty five y to the power of two plus nine minus thirty times of y.

25y²-30y+9 is the expression after product of  (5y − 3)².

Hence, option B is correct, 25y²-30y+9 is the product of (5y − 3)².

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Which of the following is the product (5y − 3)2?

A. 10y − 6

B. 25y2 − 30y + 9

C. 25y2 − 9

D. 25y2 + 30y − 9

Answer:

12

Step-by-step explanation:

12 is the area

Since,

6×2=12

Answer:

z= 2√2

x=2

y=2√2

Answer:

g(7)= -4

Step-by-step explanation:

10-2(7)

10-14

=-4

The value of g(7) is -4.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

g(x) = 10 - 2x

For x = 7,

g(7) = 10 - 2 x 7

g(7) = 10 - 14

g(7) = -4

Thus,

g(7) = -4.

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