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3 years ago

8

Frank plans to watch 2 movies each month. Write and equation to represent the total number of movies N that he will watch in M m

onths.

2 answers:

Ahat [919]3 years ago

7 0

Answer:

24 movies

Step-by-step explanation:

2x12=24

2 movies

12 months in a year

Nady [450]3 years ago

7 0

Answer:

N=2M

Step-by-step explanation:

the number of movies is always twice what the amount of months are.

You might be interested in

What ratio is equal to 30/75?

Diano4ka-milaya [45]

It would be: 30/75 = 6/15 = 2/5

So, it's reduced & most simple form is 2/5

Hope this helps!

8 0

3 years ago

Help plz will mark brainliest!

gizmo_the_mogwai [7]

Answer:

94 cm^2

Step-by-step explanation:

The surface area of a rectangular prism can be found using:

A=2(wl+hl+hw)

We know the width is 3, the height is 5, and the length is 4. We can substitute 3 in for w, 5 in for h, and 4 in for l.

A=2((3*4)+(5*4)+(5*3))

Multiply 3 and 4

A=2(12+(5*4)+(5*3))

Multiply 5 and 4

A=2(12+20+(5*3))

Multiply 5 and 3

A=2(12+20+15)

Add 12 and 20 and 15

A=2(47)

Multiply 2 and 47

A=94

So, the the surface area is 94 cm^2

3 0

2 years ago

X^2-18x-6. complete the square

vlabodo [156]

Answer:

$(x-9)^2-87$

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Find the equation of the sphere if one of its diameters has endpoints (4, 2, -9) and (6, 6, -3) which has been normalized so tha

Pavel [41]

Answer:

$(x - 5)^2 + (y - 4)^2 + (z - 6)^2 = 14$ .

(Expand to obtain an equivalent expression for the sphere: $x^2 - 10\,x + y^2 - 8\, y + z^2 - 12\, z + 63 = 0$ )

Step-by-step explanation:

Apply the Pythagorean Theorem to find the distance between these two endpoints:

$\begin{aligned}&\text{Distance}\cr &= \sqrt{\left(x_2 - x_1\right)^2 + \left(y_2 - y_1\right)^2 + \left(z_2 - z_1\right)^2} \cr &= \sqrt{(6 - 4)^2 + (6 - 2)^2 + ((-3) - (-9))^2 \cr &= \sqrt{56}}\end{aligned}$ .

Since the two endpoints form a diameter of the sphere, the distance between them would be equal to the diameter of the sphere. The radius of a sphere is one-half of its diameter. In this case, that would be equal to:

$\begin{aligned} r &= \frac{1}{2} \, \sqrt{56} \cr &= \sqrt{\left(\frac{1}{2}\right)^2 \times 56} \cr &= \sqrt{\frac{1}{4} \times 56} \cr &= \sqrt{14} \end{aligned}$ .

In a sphere, the midpoint of every diameter would be the center of the sphere. Each component of the midpoint of a segment (such as the diameter in this question) is equal to the arithmetic mean of that component of the two endpoints. In other words, the midpoint of a segment between $\left(x_1, \, y_1, \, z_1\right)$ and $\left(x_2, \, y_2, \, z_2\right)$ would be:

$\displaystyle \left(\frac{x_1 + x_2}{2},\, \frac{y_1 + y_2}{2}, \, \frac{z_1 + z_2}{2}\right)$ .

In this case, the midpoint of the diameter, which is the same as the center of the sphere, would be at:

$\begin{aligned}&\left(\frac{x_1 + x_2}{2},\, \frac{y_1 + y_2}{2}, \, \frac{z_1 + z_2}{2}\right) \cr &= \left(\frac{4 + 6}{2},\, \frac{2 + 6}{2}, \, \frac{(-9) + (-3)}{2}\right) \cr &= (5,\, 4\, -6)\end{aligned}$ .

The equation for a sphere of radius $r$ and center $\left(x_0,\, y_0,\, z_0\right)$ would be:

$\left(x - x_0\right)^2 + \left(y - y_0\right)^2 + \left(z - z_0\right)^2 = r^2$ .

In this case, the equation would be:

$\left(x - 5\right)^2 + \left(y - 4\right)^2 + \left(z - (-6)\right)^2 = \left(\sqrt{56}\right)^2$ .

Simplify to obtain:

$\left(x - 5\right)^2 + \left(y - 4\right)^2 + \left(z + 6\right)^2 = 56$ .

Expand the squares and simplify to obtain:

$x^2 - 10\,x + y^2 - 8\, y + z^2 - 12\, z + 63 = 0$ .

8 0

3 years ago

Wendy, a 32 year old female, bought a $130,000, 10-year life insurance policy. what is wendys annual premium? Use the table

steposvetlana [31]

It would be A, because her annual premium rate is $3.25 for every $1,000. So 3.25x130=$422.50

4 0

3 years ago

Read 2 more answers