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daser333 [38]
3 years ago
12

The volume of a spherical hot air balloon v(r) = 4/3 πr^3 changes as its radius changes. the radius is a function of time given

by r(t) = 3t. find the average rate of change of the volume with respect to t as t changes from t = 1 to t = 2.

Mathematics
1 answer:
Tanya [424]3 years ago
5 0
Attached the solution and work.

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How do i solve using the substitution method?<br> x+y=-1 <br> y=-2x
leonid [27]

Answer:

(1, -2)

Step-by-step explanation:

<u>Step 1:  Set the second equation into the first </u>

x + (-2x) = -1

x - 2x = -1

-x / -1 = -1 / -1

x = 1

<u>Step 2:  Solve the second equation </u>

y = -2(1)

y = -2

Answer:  (1, -2)

4 0
3 years ago
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Simplify the expression 3^-8× 34.
Alborosie

Answer:

= \frac{34}{6561}

Step-by-step explanation:

= 3^{-8}\times \:34\\= 34\times \frac{1}{3^{8} } \\= \frac{1\times \:34}{3^{8} } \\= \frac{34}{3^{8} } \\= \frac{34}{6561}

5 0
3 years ago
Which situation represents a proportional relationship?
sergiy2304 [10]

Answer:

D

Step-by-step explanation:

8 0
2 years ago
) Evaluating a polynomial limit analytically You should have learned by now the process for finding the derivative of a polynomi
wolverine [178]

Answer:

This code or is program to find a given value of derivative of  a polynomial.

Step-by-step explanation:

We know already how to apply or make the procedures mathematically talking so this short program will eventually help you how to find logic.

// libraries

#include <stdio.h>

#include <conio.h>

//use to control floating elements

float poly(float a[], int, float);

//main

int main()

{

// Enter the degree of polynomial equation

float x, a[10], y1;

int deg, i;

printf("Enter the degree of polynomial equation: ");

scanf("%d", &deg);

printf("Ehter the value of x for which the equation is to be evaluated: ");

// Enter the coefficient of x to the power

scanf("%f", &x);

for(i=0; i<=deg; i++)

{

 printf("Enter the coefficient of x to the power %d: ",i);

 scanf("%f",&a[i]);

}

// The value of polynomial equation for the value of x

y1 = poly(a, deg, x);

 

printf("The value of polynomial equation for the value of x = %.2f is: %.2f",x,y1);

 

return 0;

}

/* function for finding the value of polynomial at some value of x */

float poly(float a[], int deg, float x)

{

float p;

int i;

 

p = a[deg];

 

for(i=deg;i>=1;i--)

{

 p = (a[i-1] + x*p);

}

 

return p;

}

8 0
3 years ago
35 x { -6] PLEASE HELP ASAP!!! WILL MARK BRAINLIEST
gayaneshka [121]

Answer:

-210

Step-by-step explanation:

3 0
2 years ago
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