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LekaFEV [45]
3 years ago
11

What is the volume of a rectangular prism with length 8 cm, height 4 cm, and width 7 cm?

Mathematics
1 answer:
Bogdan [553]3 years ago
4 0
Volume = Area * height 
             = width * length * height 
             = 8 * 4 * 7 
             = 224 cm^3
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3 years ago
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Determine the intercepts of the line.<br> y=5x-13<br><br> Y-Intercept ( , )<br> X-Intercept ( , )
Arte-miy333 [17]

Answer:

Y-intercept is (0, -13)

X-intercept is at (13/5, 0)

Step-by-step explanation:

When it's in this form, y = mx + b, you automatically know what the y-intercept is (b).

So the y-intercept is (0, -13)

To algebraically find this, you'd plug in a 0 for x, since the y intercept is when it crosses the y-axis, which is located at x = 0.

To find the x intercept, you'd do the opposite of the y-intercept, which is plugging in a 0 for y and solving for x. The x-axis is located at y = 0.

0 = 5x - 13

13 = 5x

x = 13/5

The x-intercept is at (13/5, 0)

I hope this helped!

3 0
3 years ago
Find an explicit formula for the geometric sequence
vekshin1

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3 0
2 years ago
PLEASE HELP ASAP!!!
EleoNora [17]
<span>Part 1:

(x+1)^2-3(x+2) \\  \\ =x^2+2x+1-3x-6 \\  \\ =x^2-x-5

option b.


Part 2:
(5x^3y^{-3})(-6x^4y)\\ \\=5(-6)x^{3+4}y^{-3+1}\\ \\=-30x^7y^{-2}\\ \\=\frac{-30x^7}{y^2}

option d


Part 3:
\frac{8+x}{2} - \frac{x+3}{3} =4

Multiply through by the LCM of 2 and 3 (i.e. 6)
6\left(\frac{8+x}{2}\right) - 6\left(\frac{x+3}{3}\right) =6(4) \\  \\ 3(8+x)-2(x+3)=24 \\  \\ 24+3x-2x-6=24 \\  \\ x+18=24 \\  \\ x=24-18=6

option b


Part 4
x^2-3x-8=x+4

x^2-3x-8=x+4 \\  \\ x^2-3x-x-8-4=0 \\  \\ x^2-4x-12=0 \\  \\ (x-6)(x+2)=0 \\  \\ x=6 \ or \ -2

option d


Part 5
Joseph is solving the equation x^2+8x-4=0 using the technique completing the square.
x^2+8x-4=0
x^2+8x+?=4+?

In completeing the square method, you divide the coeficient of x by 2, square the result and add to both sides of the equation.

Therefore, he should add 16 to both sides because (8/2)^2=16.

option d.
</span>
5 0
3 years ago
The following table shows the probability distribution for a discrete random variable.
mezya [45]

Answer: C. 30.47

Step-by-step explanation:

The mean of discrete random variable i.e. the expected value of X is given by :-

E(X)=\sum^{i=n}_{i=1} X_iP(X_i)

Now by using the given table, the expected value of X is given by :-

\\\\\Rightarrow\ E(X)=23\cdot (0.16)+25\cdot(0.09)+26\cdot(0.18)+31\cdot(0.12)+34\cdot(0.24)+38\cdot(0.21)\\\\\Rightarrow\ E(X)=30.47

Hence, the  mean of discrete random variable= 30.47

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3 years ago
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