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Flauer [41]
3 years ago
15

If the side lengths of a cube are 16 feet, what is the correct way to write the expression to represent the volume of the cube i

n exponential form?
Mathematics
2 answers:
VMariaS [17]3 years ago
8 0
The expression for finding the volume of a cube is s^3 in this case it is 16^3 or 16*16*16
Vikentia [17]3 years ago
6 0

Answer:

16 x 16 x 16

Step-by-step explanation:

when calculating the volume of a square you need to do L x W x H. Since a square has all equal sides then we have to do 16 x 16 x 16 (exponetinal form)

Hope this helped :)

You might be interested in
The measure of abc is 60. find the value of x
Marysya12 [62]
Im guessing 1800 i think
6 0
3 years ago
Write the equation of a polynomial of degree 3, with zeros 1, 2 and -1 where f(0)=2
drek231 [11]

<u>Answer:</u>

The equation of a polynomial of degree 3, with zeros 1, 2 and -1 is x^{3}-2 x^{2}-x+2=0

<u>Solution:</u>

Given, the polynomial has degree 3 and roots as 1, 2, and -1. And f(0) = 2.

We have to find the equation of the above polynomial.

We know that, general equation of 3rd degree polynomial is  

F(x)=x^{3}-(a+b+c) x^{2}+(a b+b c+a c) x-a b c=0

where a, b, c are roots of the polynomial.

Here in our problem, a = 1, b = 2, c = -1.

Substitute the above values in f(x)

F(x)=x^{3}-(1+2+(-1)) x^{2}+(1 \times 2+2(-1)+1(-1)) x-1 \times 2 \times(-1)=0

\begin{array}{l}{\rightarrow x^{3}-(3-1) x^{2}+(2-2-1) x-(-2)=0} \\ {\rightarrow x^{3}-(2) x^{2}+(-1) x-(-2)=0} \\ {\rightarrow x^{3}-2 x^{2}-x+2=0}\end{array}

So, the equation is x^{3}-2 x^{2}-x+2=0

Let us put x = 0 in f(x) to check whether our answer is correct or not.

\mathrm{F}(0) \rightarrow 0^{3}-2(0)^{2}-0+2=2

Hence, the equation of the polynomial is x^{3}-2 x^{2}-x+2=0

3 0
3 years ago
The average distance from Venus to the Sun is 108,200,000 ​kilometers. ​ ​Which of the following is the number expressed in scie
NISA [10]

Option C

<u>ANSWER: </u>

The scientific notation of 108200000 is $1.082 \times 10^{8}$ So the correct option is c.

<u>SOLUTION: </u>

Given,the average distance from Venus to the Sun is 108,200,000 kilometers.

We need to find the above given distance in the scientific notation.

Scientific notation is nothing but writing the large numbers as product of ten power something so that we can reduce space required to write that number.

Now,  108200000  can be written in scientific notation as:

= 10820000 x 10

$=1082000 \times 10^{2}$

$=108200 \times 10^{3}$

$=10820 \times 10^{4}$

$=1082 \times 10^{5}$

$=108.2 \times 10^{6}$

$=10.82 \times 10^{7}$

$=1.082 \times 10^{8}$

Hence the scientific notation of 108200000 is $1.082 \times 10^{8}$ So the correct option is c.

4 0
3 years ago
the lateral area of a cone with a diameter of 15 yards is about 287.5 square yards. to the nearest tenth, what is the slant heig
irina1246 [14]
Lateral area of the cone is given by:
LA=πr√(h²+r²)
where:
h=height
r=radius
Given that LA=287.5 yd² and r=(15/2) yds, then the height will be:
287.5=7.5π√(h²+7.5²)
solving for h we get:
(287.5/7.5π)²=h²+7.5²
thus
h²=(287.5/7.5π)²-7.5²
h²=63.1851597
 To get the slant height we use Pythagorean theorem.
c²=a²+b²
a²=h², b²=7.5²
thus
c²=h²+7.5²
c²=63.1851597+56.25
c²=119.4351597
c=10.92864~10.9 yards
3 0
3 years ago
9x - 3y = -42 and -9x + 8y =22
ASHA 777 [7]

Answer:

(-5 1/9, -4)

Step-by-step explanation:

Add the equations

5y=-20

y=-4

-9x+8(-4)=22

-9x-32=22

-9x=46

x= - 5 1/9

8 0
3 years ago
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