I need help on this math exam please correct answers only

A soup can has a height of 4 inches and a radius of 2.5 inches. What's the volume of soup in cubic inches that would fill one so

Alenkasestr [34]

Answer:

C. 78.5 in^3

Step-by-step explanation:

A soup can is in the shape of a cylinder. The volume of a cylinder can be found using the following formula:

$v=\pi r^2h$

We know that the height is 4 inches and the radius is 2.5 inches.

r= 2.5 in

h= 4 in

$v=\pi (2.5in)^2*4in$

Evaluate the exponent.

$(2.5 in)^2=2.5 in*2.5in=6.25 in^2$

$v=\pi *6.25 in^2*4 in$

Multiply 6.25 in^2 and 4 in.

$6.25 in^2*4 in=25 in^3$

$v=\pi*25 in^3$

Multiply pi and 25 in^3.

$v=78.5398163 in^3$

Round to the nearest tenth. The 3 in the hundredth place tells us to leave the 5 in the tenth place.

$v=78.5 in^3$

78.5 cubic inches can fill one soup can.

7 0

4 years ago

Graph the following equation using X- and y-intercepts.<br> x + y = -3

Kitty [74]

Answer:

x-intercept: (-3,0)

y-intercept: (0,-3)

Step-by-step explanation:

Looking at the equation, we can see that it is already in standard form, or in a $Ax+By=C$ format. Whenever a line is put into standard form, the x-intercepts are represented by $(\frac{C}{A},0)$ and the y-intercepts are represented by $(0, \frac{C}{B} )$ . So, let's calculate them by doing the following:

1) Find the x-intercept by using the $(\frac{C}{A},0)$ formula. Substitute the number on the right side of the equation for $C$ and the coefficient for the x term for $A$ . So, in this case, $C = -3$ and $A = 1$ :

$(\frac{C}{A},0)\\\\(\frac{-3}{1},0) \\(-3,0)$

Therefore, the x-intercept is (-3,0).

2) Next, find the y-intercept by using the $(0,\frac{C}{B} )$ formula and substituting the right values. $C$ is still the number on the right side of the equation and $B$ is the coefficient of the y term. So, $C = -3$ and $B = 1$ .

$(0,\frac{C}{B})\\ (0, \frac{-3}{1})\\(0, -3)$

Therefore, (0, -3) is the y-intercept.

7 0

3 years ago

One root of a third degree polynomial function f(x) is -5 + 2i. Which statement describes the number and nature of all

Sauron [17]

Answer:

f(x) has two imaginary roots and one real root.

Step-by-step explanation:

Complex roots:

I a complex number $a + bi$ is a root of a polynomial, it's conjugate $a - bi$ is also a root.

One root of a third degree polynomial function f(x) is -5 + 2i.

This means that -5 - 2i is another root of the polynomial, and thus, 2 of the roots are complex.

Third degree, so it has three roots, which means that the third root is real(not possible to have a complex root without it's conjugate), and thus, the correct answer is:

f(x) has two imaginary roots and one real root.

7 0

3 years ago

Jessie has a container that contains 18 3/4 cios of ice cream. How many 1/3-cup servings of ice cream are in the container

ladessa [460]

Hi there!

18 × $\frac{3}{4}$ = amount of ice cream in container

13.5 = amount of ice cream in container

Let's replace the number of cups by "C" :

13.5 = C × $\frac{1}{3}$

Isoltate "C" by dividing each side of the equation by $\frac{1}{3}$

40.5 = C

Which means that your answer is : There are 40.5 1/3-cup servings of ice creamin the container!

There you go! I really hope this helped, if there's anything just let me know! :)

7 0

3 years ago

The slope of the line passing through points (-6, 3) and (-6, 39) is __.

stiks02 [169]

Answer: The answer is C

Step-by-step explanation:

For the coordinate points

(

−

6

,

3

)

and

(

−

6

,

39

)

x

1

=

−

6

x

2

=

−

6

y

1

=

3

y

2

=

39

m

=

39

−

3

−

6

−

(

−

6

)

m

=

36

0

Because the denominator of the slope is 0 this means there is no run and therefore no slope.

8 0

3 years ago