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3 years ago

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

e given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=−16x^{2} + 157x+104

1 answer:

blsea [12.9K]3 years ago

3 0

Can you send a picture of it? Then maybe I can help you answer it.

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Terrence gets a loan with a $50 processing fee. The loan is for $700 with an interest rate of 8% for one

agasfer [191]

Answer:

15.14%

Step-by-step explanation:

The formula for APR is stated thus:

APR=fees+interest/principal/n*365*100

principal is the loan amount of $700

fees is the processing fees on the loan which is $50

interest amount=principal*interest %=$700*8%=$56

n is the number of days of the loan which is a year i.e 365 days

APR=($50+$56)/$700/365*365*100

APR=$106/$700/365*365*100

APR=0.151428571 /365*365*100

APR=0.151428571 *100=15.14%

The annual percentage rate on the loan is 15.14% which represents the actual cost on the loan not just the interest cost of 8% annually

4 0

3 years ago

Create a matrix for this system of linear equations, The determinant of the coefficient matrix is

marin [14]

Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation: The given system of linear equations is :

$2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

$D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.$

Now, from equations (ii) and (iii), we have

$x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

$2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.$

From equations (iv) and (v), we get

$y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.$

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0

3 years ago

Elijah walks home from school several times each week. He walks the 2.8-mile distance at an average rate of

Radda [10]

Answer:

Elijah's" (y cualquier palabra posterior) fue ignorada debido a que hemos restringido las consultas hasta 32 palabras.

4 0

3 years ago

Big Smiles Toy Company needs to pack marbles into a box. The company has two boxes they can use. Box A is 9 inches wide, 13 inch

shtirl [24]

Answer:

Big Smiles Toy Company should choose Box B as its volume is 82.5 $inch^3$ larger than Box A

Step-by-step explanation:

Given

Dimension of Box A= 9 inches width, 13 inches length, 11.5 inches height

Dimension of Box B =14 inches width, 8.5 inches length, 12 inches height

Volume of Box A= Length $\times$ width $\times$ height= $9\times13\times11.5= 1345.5 inches^3$

Volume of Box B =Length $\times$ width $\times$ height= $14\times8.5\times12= 1428 inches^3$

Difference = Volume of Box B - Volume of Box A = 1428 - 1345.5 = 82.5 $inches^3$

Box B has 82.5 $inch^3$ volume larger than Box A

4 0

3 years ago

Lena got three “hits” in her last seven times at bats, so her chance of getting a hit is 3/5. Theoretical or Experimental?

ZanzabumX [31]

Answer:

HMM LOOKS LIKE A FRACTION PROBLM IM NOT SURE KIND OF TIERD RN SO UM .........3x+7=3/5 try this in calculated

Step-by-step explanation:

✌

6 0

4 years ago