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2 years ago

9

A rectangular prism has a length of 2 1/2 meters, a width of 4 meters, and a height of 2 1/4 meters. What is the volume of the p

rism? Enter your answer in the box as a simplified mixed number or a decimal. m?

1 answer:

TiliK225 [7]2 years ago

8 0

22.5 is the volume of the prism

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Suppose g (x) is increasing and concave up everywhere and g(A)=7, gprime(A)=13, h=.01

rewona [7]

First we need a point (x,y) : (A, 7)
<span>Now slope (from f'(A)) = 15 </span>
<span>Next, the equation (using point slope formula) </span>

<span>y - 7 = 15 (x -A) </span>
<span>y = 15 (x - A) + 7 </span>

<span>Now in the x spot we put 'A-.01' </span>
<span>y = 15 ( A - .01 - A) +7= 15(-.01) +7 = -.15+ 7 = 6.85
hope this helps</span>

8 0

3 years ago

10 POINTS Math unit 5.11! PLEASE HELP

agasfer [191]

To write the function to show the weekly growth rate of population , we first find the weekly growth rate by dividing yearly growth rate by 52 ( as there are 52 weeks in an year)

Given function is ,

$P=120(1.016)^t$

or

$P=120(1+0.016)^t$

To convert in weekly growth rate , divide 0.016 by 52

So formula for weekly growth rate of population is

$P=120(1+ \frac{0.016}{52})^{52t}$

or

$P=120(1+ \frac{1}{3250})^{52t}$

And the weekly growth rate = $\frac{1}{3250}$

7 0

3 years ago

(1 point) Linear System - Three Variables Solve the following system of equations using Gaussian elimination method. If there ar

EastWind [94]

Answer:

$x=\frac{-363}{70}$ ≈ -5.1857

$y=\frac{-192}{35}$ ≈ -5.4857

$z=\frac{313}{84}$ ≈ 3.7262

Step-by-step explanation:

Rewrite the equation system as:

$6x+8y=-75$

$-3x+6y+6z=5$

$2x-9y=39$

Now, write the system in its augmented matrix form:

$\left[\begin{array}{cccc}6&8&0&-75\\-3&6&6&5\\2&-9&0&39\end{array}\right]$

applying row reduction process to its associated augmented matrix:

Swap R1 and R3, and then Swap R1 and R2:

$\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\6&8&0&-75\end{array}\right]$

R3+2R1

$\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\0&20&12&-65\end{array}\right]$

3R2+2R1

$\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&20&12&-65\end{array}\right]$

15R3+20R2

$\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&0&420&1565\end{array}\right]$

Now we have a simplified system:

$-3x+6y+6z=5\\0-15y+12z=127\\0+0+420z=1565$

$-3x+6y+6z=5\hspace{5 mm}(1)\\0-15y+12z=127\hspace{3 mm}(2)\\0+0+420z=1565\hspace{3 mm}(3)$

From (3):

$z=\frac{313}{84}$ (4)

Replacing (4) in (2)

$y=\frac{-192}{35}$ (5)

Finally replacing (5) and (4) in (1)

$x=\frac{-363}{70}$

7 0

2 years ago

What is the probability of the spinner landing on 2?

Nadusha1986 [10]

It depends on how many sides it has

If it has 2 then 50 percent
If it has 4 then 25 percent
If it has 5 then 20 percent

You divide the amount of sides by 100

x / 100 = percent

Example 2 / 100 = 50.

Hope This Helps!
Can I get Brainliest?

6 0

3 years ago

. put these numbers in order, from least to greatest. if you get stuck, consider using a number line. 3.5 -1 4.8 -1.5 -0.5 -4.2

luda_lava [24]

-4.2, -3.5,-2.1,-1.5,-1,-0.5,0.5,2,3.5,4.8

7 0

1 year ago