An internet company charges $12 per gigabyte of data plus a monthly service charge of $18. Last month, Niki's bill was $78. Write an equation to find how many gigabytes of data Niki used last month.

Answer:

(h + 12)(h - 10)

Step-by-step explanation:

Assuming you require to factor the expression

Given

h² + 2h - 120

Consider the factors of the constant term (- 120) which sum to give the coefficient of the h- term (+ 2)

The factors are + 12 and - 10 , since

12 × - 10 = - 120 and 12 - 10 = + 2 , thus

h² + 2h - 120 = (h + 12)(h - 10) ← in factored form

Answer:

D

Step-by-step explanation:

As

[tex]\frac{8}{8}[/tex]

because the rate is of

1/8 and

8/8=1

Answer:

6%

Step-by-step explanation:

i did some research and i hope i got this right if it isn't pls let me know

Answer:

6%

Step-by-step explanation:

3/50 as a percent is 6%

Answer:

y = (-1/3)x - 2

Step-by-step explanation:

First we should put the equation for FG into slope intercept form, which is y = mx + b. For this step, just solve for the y in the equation, which should be y = (-1/3)x + 4.

Next, since we know that FG and EH are parallel, their slopes must also be the same. We also know the (0, -2) is a point on EH, and also happens to be the y-intercept. Therefore, we can plug it back into the slope intercept equation and get y = (-1/3)x - 2, since the m is the same and the -2 is just the y-intercept given in the problem.

Answer:

BD

Step-by-step explanation:

the radius of a circle is the line from the centre of the circle to a point on the circle, then

BD is the radius of the circle.

Answer:

length is 10 and X is 5

Step-by-step explanation:

A and D is 14 cm their opposite side is BC is 4 so AB is 10

X is 2x=10

X=10/2

X=5

Answer:

1-8

Step-by-step explanation:

I was only able to finish one through eight The rest follow the same concept though

====================================================

Explanation:

The spreadsheet is shown below.

In cell B6, the formula used is the NORMINV function to get the z critical value. The name is the result of putting the words "NORM" and "INV" together, which refers to the inverse normal.

It's used to find the value of k in P(-k < Z < k) = 0.99, which in this case is roughly k = 2.576 so the z critical value is roughly z = 2.576

What you type in specifically is [tex]=\text{NORMINV}( (1-0.99)/2, 0, 1)[/tex]

The (1-0.99)/2 portion ensures that we get the alpha/2 value which in this case is 0.005

The 0,1 at the end refers to the mean and standard deviation respectively of the standard normal Z distribution.

The output of that NORMINV function is then made positive and then you'd round to 3 decimal places.

So that's how we can get excel to display z = 2.576

----------

The margin of error E formula is

E = z*sqrt(phat*(1-phat)/n)

which doesn't need an excel function to get the job done, though of course excel can handle it just fine. You'd type in the formula as shown, but be sure to reference the correct cells.

Once E is calculated, we compute the following

which are the lower (L) and upper (U) bounds of the confidence interval.

The results are L = 0.063 and U = 0.137

That confidence interval can be written in the form (0.063, 0.137) which is equivalent to saying 0.063 < p < 0.137

Answer:

{x | x<5/4}

Step-by-step explanation:

Add 2 to both sides and simplify:

4x<5

Divide both sides by 4 and simplify:

x<5/4

Answer:

0.01538

Step-by-step explanation:

Answer:

There is something that looks like a paper clip and you put your photos there.

Step-by-step explanation:

1st Step:

Volume of a cuboid : Length * Breath * Height

2nd Step :

Volume : 13.5 * 9.25 * 4.5

Which is equal to 561.9375

3rd Step:

Rounded up : 562

Answer:

562

Step-by-step explanation:

Answer:

1.5 meters per second.

Step-by-step explanation:

Distance formula:

d = rt

where d = distance, r = average speed and t = time traveled.

They told us that an object travels 30 meters in 20 seconds.

So we can say d = 30 and t = 20

if you put these values back into the distance formula you get:

d = rt

30 = r times 20

30 = 20 r

So now we want to find what "r" (average speed) is.

Divide both sides by 20.

20 r = 30

r =   = 1.5 meters per second.

Answer:

x=12

Step-by-step explanation:

Because the angles labeled 5x and 4x+12 ate opposite exterior angles, they are congruent. This means that we can set up the following equation:

5x=4x+12

Subtracting 4x from both sides, we have:

X=12

Answer:

x = 12

Step-by-step explanation:

When two parallel lines are intersected by a transversal, the alternate  exterior angles are congruent.

5x = 4x + 12

Subtract 4x from both sides,

5x - 4x = 4x - 4x + 12

x = 12

The area of Triangle ACE from the given diagram is; 150 sq.units

We are given;

AB = 44

AC = 30

ME = 10

Now, to find the area of triangle ACE, we need to know the length KE where K is the midpoint of AC.

Now, since AD bisects angle BAC. This means that ∠KEA = ∠MEA.

By ASA Congruence Postulate, we can say that; ΔAEK ≅ AEM

Thus, we can say that KE = ME = 10

Formula for area of triangle is;

A = ¹/₂ * base * height

where;

base = AC = 30

Height = KE = 10

Thus;

A =  ¹/₂ * 30 * 10

A = 150

Read more about area of the triangle at; https://brainly.com/question/17335144

Answer:

the 4

Step-by-step explanation:

Answer:

The answer is 4

Step-by-step explanation:

500,000, 40,000, 2,000, 900, 70

Answer:

The anwser is:

C. V = -12

Answer:

2x^3·(7x+1)

Step-by-step explanation:

*Common factor

14x^4+2x^3 ⇒ 2(7x^4+x^3)

*Find one factor

2x^3(7x+1)

The jar can hold a total of three tomatoes at a time.

Volume is the amount of space occupied by a three dimensional shape or object.

The tomatoes is spherical with a diameter of 6 cm (radius = 6/2 = 3cm), hence:

Volume of tomatoes = (4/3) * π * radius³ = (4/3) * π * 4³ = 268 cm³

The jar is cylinder with diameter of 8 cm (radius = 8/2 = 4) and a height of 21 cm, hence:

Volume of jar = π * radius² * height = π * 4² * 21 = 1055.6 cm³

Amount of tomatoes that can be contained in jar = 1055.6 cm³ / 268 cm³ = 3.9

The jar can hold a total of three tomatoes at a time.

Find out more on volume at: https://brainly.com/question/12410983

Answer:

228\pi

Step-by-step explanation:

Answer:

The solutions to this system of inequalities are included in this inequality:

5/3x - 4 < y < 1/4x - 4

Here are an example of 3 solutions:

(-1,-5), (-2,-6), (-4,-8)

Answer:

y=-1/3x+1

Step-by-step explanation:

The slope of this line is negative, and is equal to rise over run.

To find slope, count the number of spaces it has moved down or up, and then the number of spaces it has moved left or right.

The y intercept is represented by +1, and is where the line crosses the y axis.

Hope this helps!

Answer:

neither

Step-by-step explanation:

because the square root is not whole number and neither is the cube root of 165. so it is neither

Answer:

I would say neither

Step-by-step explanation:

It's not a perfect square. It's a bit close to say perfect cube. ∛165= ∛(5.485 x 5.485 x 5.485)

Answer:

Savings=rs7200

Step-by-step explanation:

money spend=70% of 24000

=70/100*24000

=70*240

=rs 16800

savings=money earned-money spend

=24000-16800

=rs7200

Answer: rs 7200

Step-by-step explanation: So 70% of 24000 = 16800

                                             24000-16800=7200

so he spends rs 16800 per month and has a saving of Rs 7200 per month from his monthly salary.

Answer: I think it is 6.4 please don’t give a bad review if not

Step-by-step explanation: 4^2,5^2 and the square root that

Hi!

In the given question, "some number to the power of 4" tells us that we are using exponents, because it states "to the power of".

Therefore, your answer is the first option, χ4.

The first option is the only option that uses exponents.

The other options would be said like such:

2.) "A number 4"

3.) "A number multiplied by 4"

4.) "A number added to 4"

For a similar question, see:

https://brainly.com/question/11818830

Answer:

13 to 10

Step-by-step explanation:

13 boys, 10 girls

13:10

The ratio of boys to girls in the classroom is  13:10

hence option B is correct

According too the given situation

The number of boys in the classroom = 13

The number of girls in the classroom = 10

Ratio is a quantitative relationship between two numbers showing a comparable form of magnitudes of both the numbers/quantities.

Let "a" and "b" be two numbers then the Ratio of "a" and "b" is shown as formulated in equation (1)

[tex]\rm r = a:b ........(1)[/tex]

The ratio of two numbers can be found out in simplest form by dividing these two numbers such that the division results in positive natural numbers for both the quantities.

So we can conclude that   the ratio of boys to girls in the classroom are

[tex]\rm \dfrac{Boys }{Girls } =\dfrac{13}{10} \\\\Boys : Girls = 13:10 \\[/tex]

So we can conclude that the ratio of boys to girls in the classroom is  13:10

hence option B is correct

For more information  please refer to the link given below

https://brainly.com/question/25326254

Answer:

tbh i think all of them are but go with C

Step-by-step explanation:

Answer:

burning and cooking are 2 examples of chemical change

Step-by-step explanation:

so I think it's is A. B can't be the answer because it's just boiling water since there's nothing in it, it's not really cooking