03/09/23

150 bacteria grow continuously, tripling every 2 hours. How many hours will it take for the bacteria count to reach 200,000?

What's the initial equation?What's the equation in logarithmic form?Solution:

03/09/23

Sam invests $1200 in an account that is compounded continuously at an annual rate of 5% interest. How many years will it take Same to reach $12,000?

What's the initial equation?What's the equation in logarithmic form?Solution:

03/09/23

You invest $2500 in an account that is compounded continuously at an annual rate of 7.5% interest. How many years will it take you to reach $10,000?

What's the initial equation?What's the equation in logarithmic form?Solution:

03/09/23

An open box is constructed by cutting congruent squares from the corners of a 30 inch by 20 inch piece of aluminum.

Write a function that models the volume of the box. What is the maximum volume that the box can hold? What is the height of the box for the maximum volume?

03/09/23

What are the y values when f(x)=g(x)?

f(x) = -x4-3x2+6g(x) = 2|x+2|

03/09/23

An open box is to be formed by cutting four identical squares from the corners of a sheet of metal 25 cm by 32 cm, and folding up the metal to form sides.

Write a function that models the volume of the box. What is the maximum volume that the box can hold? The capacity of the box must be 1575 cm³ and the height must be less than 5cm. What is the... more

03/09/23

U3.L4.HW: Quadratic Functions: Question 20

Answer first. Then explain your answers below.NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t) = -4.9t² + 115t + 241. Assuming... more

03/09/23

A metalworker wants to make an open box from a 30 in. x 24x sheet of metal, by cutting equal squares from each corner.

Write a function that models the volume of the box. What is the maximum volume that the box can hold? What is the height of the box for the maximum volume?

03/09/23

How to do this? 20x³ + 40x² - 5x – 10

20x³ + 40x² - 5x – 10

03/09/23

How to solve this??? h(x) = x² - 3x – 4

h(x) = x² - 3x – 4

03/09/23

How do you solve this? g(x) = 15x² - 2x – 1

g(x) = 15x² - 2x – 1

03/09/23

HELP!! I need help with this: 9x² - 16

9x² - 16

Help!! I need really quick help with this question!! If a kangaroo jumps from ground level with an initial vertical velocity of 64 feet per second, how long is the kangaroo in the air?

Use the vertical motion model s(t) = -16t² + vt + s where v is the initial velocity, and s is the initial position. If a kangaroo jumps from ground level with an initial vertical velocity of 64... more

03/09/23

graph the functions, what is the period of each function?

cos(x - π⁄2)

03/09/23

A jet travels 8280 miles in 9 hours flying against the jet stream. Flying with the same jet stream jet travels 9920 miles in 8 hours.

What is the rate of the jet in still air?what is the rate of the rate of the jet stream ?

03/09/23

U3.L4.HW: Quadratic Functions: Question 24

Put you answers first, then explain them in the end.Cornell wants to build a rectangular enclosure for his animals. One side of the pen will be against the barn, so he needs no fence on that side.... more

03/09/23

One more than 3 times a number is the same as 5 times the number decreased by 15

One more than 3 times a number is the same as 5 times the number decreased by 15

03/09/23

U3.L4.HW: Quadratic Functions: Question 18

Explain your answer.We are standing on the top of a 1536 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is h(t) = -16t² +... more

03/09/23

how do i solve this problem

p(x)=x2+2x2-7x+5; a = 2

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