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Ivahew [28]
3 years ago
14

Here is a different function modeling the height of a

Mathematics
1 answer:
Monica [59]3 years ago
6 0

Answer:

An object is thrown straight up from the top of a building h feet tall with an initial velocity of v feet per second. The height of the object as a function of time can be modeled by the function h(t) = –16t2 + vt + h, where h(t) is the height of the object (in feet) t seconds after it is thrown.

Step-by-step explanation:

A ball is thrown straight up from the top of a 128 foot tall building with an initial speed of 32 feet per second. The height of the ball as a function of time can be modeled by the function h(t) = –16t2 + 32t + 128. How long will it take for the ball to hit the ground?

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At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equatio
andriy [413]

The correct format of the question is

At the end of 2006, the population of Riverside was 400 people. The population for this small town can be modeled by the equation below, where t represents the number of years since the end of 2006 and P represents the number of people. P = 400 ( 1.2 )^ t Based on this model, approximately what was the increase in the population of Riverside at the end of 2009 compared to the end of 2006?

(A) 291

(B) 691

(C) 1040

(D) 1440

Answer:

The increase in the population at the end of 2009 is 291 people

Step-by-step explanation:

We are given the equation as P = 400 ( 1.2 )^ t

where

P = No of People

t= No of Years

it is given that in the year 2006 the population is 400

this will only happen when we take t= 0

so for

Year    value of t

2006-    t = 0

2007-    t  = 1

2008-    t = 2

2009     t = 3

No of people in 2009 will be

P = 400(1.2)^3

     = 400*1.728

   P  = 691.2

Since the equation represents no of people so it can't be in decimals, Therefore the population will be 691

Increase = P(2009) - P(2006)

               = 691 - 400

                = 291

The increase in the population at the end of 2009 is 291 people.

4 0
3 years ago
Create a matrix that is equal to F+G. The first matrix below is named F and the second matrix below is named G. Name the new mat
likoan [24]

F+G:

F+G=\begin{bmatrix}{-1.8} & {-8.6} & {} \\ {2.85} & {-1.4} & {} \\ {-1.8} & {5.1} & {}\end{bmatrix}+\begin{bmatrix}{1.32} & {-1.9} & {} \\ {2.25} & {0.0} & {} \\ {-6.2} & {1.4} & {}\end{bmatrix}

Then, add the elements that occupy the same position:

H=\begin{bmatrix}{-1.8+1.32} & {-8.6+(-1.9)} & {} \\ {2.85+2.25} & {-1.4+0.0} & {} \\ {-1.8+(-6.2)} & {5.1+1.4} & {}\end{bmatrix}

Solve

H=\begin{bmatrix}{-0.48} & {-10.5} & {} \\ {5.1} & {-1.4} & {} \\ {-8} & {6.5} & {}\end{bmatrix}

So, we find the element at address h31:

H=\begin{bmatrix}{h11} & {h12} & {} \\ {h21} & {h22} & {} \\ {h31} & {h32} & {}\end{bmatrix}

In this case, position h31 is - 8.0

8 0
1 year ago
A sequence is represented by the formula an=-5+a(n-1). If a4 = 20, what is the 6th term in the sequence?
Citrus2011 [14]

Answer:

<u>10</u>

Step-by-step explanation:

Formula :

  • aₙ = -5 + aₙ₋₁

Finding a₅ :

  • a₅ = -5 + a₄
  • a₅ = -5 + 20
  • a₅ = 15

Finding a₆ :

  • a₆ = -5 + a₅
  • a₆ = -5 + 15
  • a₆ = <u>10</u>
4 0
2 years ago
A= 2LW+2LH+2HW solve w
svetlana [45]
Pkay so here is YOUR ansew=wer uyour welcoeme i am ammath lover it is cofrrect W=(2LH/2L+2H)A
6 0
3 years ago
A contractor digs a hole for the basements of a new house that is 40 feet long and 10 1/2 feet deep. What is the width of the ho
34kurt
D. 15.5

40*10.5 = 420

6510/420 = 15.5
7 0
3 years ago
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