What fraction with a denominator of 12 is equivalent to 1/4?

Ricky's goal is not achievable. This is because selling 36 computers would not yield a profit of at least $10,000.

A profit is earned when total revenue is greater than total cost.

Profit = total revenue - total cost.

Given this function:  p(x)=x^3-22x^2-240x  substitute for x in the equation

(36)^3 - 22(36^2) - (240 x 36)

46,656 - 28,512 - 8640

=$9504

If he sells 36 computers, he would have a profit of $9504 and would not achieve his goal.

To learn more about profit, please check: https://brainly.com/question/26181966

Answer:

[tex]L=\int\limits^b_a {\sqrt{1+\frac{x^2}{64}}} \, dx[/tex]

Step-by-step explanation:

Recall the formula for the arc length of a function given a closed interval [tex][a,b][/tex]: [tex]L=\int\limits^b_a {\sqrt{1+(\frac{dy}{dx})^2}} \, dx[/tex]

Given the function [tex]y=\frac{x^2}{16}[/tex], then [tex]\frac{dy}{dx}=\frac{x}{8}[/tex] by the product rule.

Thus, the set-up integral would be:

[tex]L=\int\limits^b_a {\sqrt{1+(\frac{x}{8})^2} } \, dx\\ \\L=\int\limits^b_a {\sqrt{1+\frac{x^2}{64}}} \, dx[/tex]

Answer:

x = - [tex]\frac{26}{3}[/tex]

Step-by-step explanation:

3(4x - 12) + 3 = 3x - 7 + 12x ← distribute parenthesis and simplify left side

12x - 36 + 3 = 15x - 7

12x - 33 = 15x - 7 ( subtract 15x from both sides )

- 3x - 33 = - 7 ( add 33 to both sides )

- 3x = 26 ( divide both sides by - 3 )

x = - [tex]\frac{26}{3}[/tex]

Answer:

47

Step-by-step explanation:

The slope for this equation is m=47.

Answer:

2^3 . 3^5 . 5 . 7^2

Step-by-step explanation:

Find the greatest common factors of
2^4 x 3^5 x 5^3 x 7^2 , 2^3 x 3^6 x 5 x 7^8:

476280

write 476280 as a product of primes:
2^3 . 3^5 . 5 . 7^2

answer: 2^3 . 3^5 . 5 . 7^2

Answer:

[tex]sec(\frac{5\pi}{4})=-\sqrt{2}[/tex]

Step-by-step explanation:

[tex]sec(\frac{5\pi}{4})\\\\=\frac{1}{cos(\frac{5\pi}{4})}\\ \\=\frac{1}{-\frac{\sqrt{2}}{2}}\\ \\=-\frac{2}{\sqrt{2}}\\ \\=-\frac{2\sqrt{2}}{2}\\ \\=-\sqrt{2}[/tex]

It really helps to use the unit circle for solving these kinds of problems. I've attached one for your convenience. Note that a point on the unit circle, given the angle in radians, is defined as [tex](cos\theta,sin\theta)[/tex].

[tex]\\ \tt\hookrightarrow Area=\pi r^2[/tex]

[tex]\\ \tt\hookrightarrow Area=\pi 8^2[/tex]

[tex]\\ \tt\hookrightarrow Area=64\pi[/tex]

[tex]\\ \tt\hookrightarrow Area=64(3.14)[/tex]

[tex]\\ \tt\hookrightarrow Area=200.96cm^2[/tex]

Answer:

The area of circle is 200.96 cm²

Step-by-step explanation:

Here's the required formula to find the area of partial circle :

[tex]\longrightarrow{\pmb{\sf{Area_{(Circle)} = \pi{r}^{2}}}}[/tex]

Substituting all the given values in the formula to find the area of partial circle :

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{Area_{(Circle)} = \pi{r}^{2}}}} \\ \\ \qquad{\longrightarrow{\sf{Area_{(Circle)} = 3.14{(8)}^{2}}}} \\ \\ \qquad{\longrightarrow{\sf{Area_{(Circle)} = 3.14{(8 \times 8)}}}} \\ \\ \qquad{\longrightarrow{\sf{Area_{(Circle)} = 3.14(64)}}} \\ \\ \qquad{\longrightarrow{\sf{Area_{(Circle)} = 3.14 \times 64}}} \\ \\ \qquad{\longrightarrow{\sf{Area_{(Circle)} \approx 200.96}}} \\ \\ \qquad\star{\purple{\underline{\boxed{\sf{Area_{(Circle)} \approx 200.96 \: {cm}^{2}}}}}}\end{gathered}[/tex]

Hence, the area of circle is 200.96 cm².

[tex]\rule{300}{2.5}[/tex]

The correct factor is (2x - 3) and (2x + 3).

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

Given

4x² -9 = 0 is a quadratic equation.

The factor of the given equation.

4x² -9 = 0 is a quadratic equation.

According to factorization,

                 4x² - 9 = 0

             (2x)² - 3² = 0

( 2x - 3 ) ( 2x + 3 ) = 0

Thus the correct factor is (2x - 3) and (2x + 3).

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Answer:

The answer is C or the third option.

Step-by-step explanation:

Looking at the tiles for the third option, there are the same amount of negative and positive x-tiles. This means that they cancel each other out. What's left are the 4 x^2 tiles and 9 negative tiles. When put together the equation is 4x^2 - 9. This option represents the factors of 4x^2 - 9 accurately.

Based on the current population and the rate of decrease, the population in five years will be 81,537 people.

This can be found by the formula:

= Current population x ( 1 - rate) ^ number of years

Solving gives:

= 100,000 x ( 1 - 4%)⁵

= 100,000 x 0.8153726976

= 81,537 people

In conclusion, option B is correct.

Find out more on population growth at https://brainly.com/question/24328512.

Answer:

B

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

[tex]24b^2+96b\\\\24(b^2+4b)\\\\24b(b+1)[/tex]

Answer:930 Hope this Helps :D

Step-by-step explanation:

For the given problem:

Let the balances of the saving accounts be (x) and (y)

Leah has two savings accounts with balances totaling $8,000

so,

x+y=8000 (1)

She withdrew 15% from one and 40% from the other. If she has $6,350 remaining in the accounts

So, The remaining from the accounts will be (1 - 15%) and ( 1 - 40%)

that will give the decimals: 0.85 and 0.6

so, we can write the following equation:

0.85x+0.6y=6350 (2)

Now, solve the equations (1) and (2) to find (x) and (y)

From equation (1)

y=8000-x (3)

Substitute with (y) from equation (3) into equation (2)

0.85x+0.6*(8000)-x =6350

Now solve the equation

0.85x+0.6*8000-0.6x=6350

0.85x-0.6+4800+6350

0.25x=6350-4800

0.25x=1550

x=6200

Substitute with (x) into equation (3) to find (y)

y=8000-6200=1800

So, the larger account = x = 6200

and the smaller account = y = 1800



Now, we will answer the question, how much money did she withdraw from the account with the larger balance?

so, the answer will be: 15% of x = 0.15 * 6200 = 930



So, the answer will be $930

Answer:

  see attached

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  distance = speed · time

Stephanie wants her first break before 65 miles, so the time until the break will satisfy the inequality ...

  10t < 65 . . . break before 65 miles

  t < 6.5 . . . . . divide by 10

On a graph, values less than 6.5 will appear shaded to the left of that point. Since 6.5 is not included in the solution set, the dot at that point is an open circle.

i does an experiment where she picks a block out of a bag without looking 50 times, putting it back each time. She picks a green block 32 times. If the bag has 8 blocks, how many do you think are green

Answer:  15/8

Step-by-step explanation: you just have to add 12 and 3 and that in simplist form your welcome.

Answer:

4 1/2

Step-by-step explanation:

3/8 x 12 = 9/2 = 4 1/2

3/8 x 12 = 9/2 as a fraction form. The work for 3/8 times 12 as a fraction provides more insight of how to find what is 3/8 times 12 in fraction form and the different variations of such problems.

where,

3/8 is the multiplicand,

12 is the multiplier,

9/2 is the simplest form of product of fractions.

Important Notes: 3/8 * 12

Answer:

0.8 degrees per hour

Step-by-step explanation:

1 2/5 divided by 1 3/4

7/5 / 7/4

keep, change, flip the fraction

7/5 x 4/7

=4/5= 0.8

Answer:

The rounded answer is 11

Step-by-step explanation:

a-squared + b-squared = c-squared
8-squared + 7-squared = c-squared
64 + 49 = c-squared
area-113 (the check mark symbol thing)

Answer:

  (d)  10.63

Step-by-step explanation:

You want the length of the hypotenuse of a right triangle with legs 7 in and 8 in.

The Pythagorean theorem tell you the relationship between legs a, b, and hypotenuse c of a right triangle is ...

  c² = a² +b²

In this figure, this means ...

  x² = 7² +8² = 49 +64 = 113

  x = √113 ≈ 10.63

The length of x is about 10.63.

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Answer:

fill the 5l bottle up completely

pour the contents of the 5l bottle into the 3l until completely full

this should leave you with 2 litres in the 5 l bottle

empty out the water in the 3 litre bottle and then pour in the 2 litres

fill the 5 litre up completely and you have 7 litres

Step-by-step explanation:

Refer to the attachment :)

Answer:

the average height is between 65 and 72 inches

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

There will be 25 Toothpicks in the 5th figure. I know this because as the the figures go up the number of toothpicks go up by one.

Step-by-step explanation:

Hope This Helps

Have A great Day

ll~Zero~ll

Answer:

y ≤ x + 2

Step-by-step explanation:

treat the symbols as a "=" sign for now

(formula) y = (slope)x + (y-intercept)

slope = 1/1 = 1

y = x + (y intercept)

The y intercept is 2

y = x + 2

The graph goes up, so it is less than, and the line isn't dashes, so it makes it equal to or less than

y is equal to or less than x + 2 or y ≤ x + 2

Answer:

-true

-false

-true

-true

Answer:

true ,false,true,false

Step-by-step explanation:

60 for a family of five that means 12x5

Answer:

1/5

Step-by-step explanation:

You need the opposite of 5/1 which would be 1/5

Answer:

y=-4/3x-8/3

Step-by-step explanation:

Use the slope formula y2-y1/x2-x1

Finding the slope, 4-(-4)/-5-1 = 8/-6 = -4/3

y=-4/3x + b

Substituting,

-4=-4/3+b

-12/3+4/3=b

b=-8/3

y=-4/3x-8/3

Answer:

Jack hit 5

Step-by-step explanation:

Henry hit 3 more so 8 - 3 = 5

Answer: 18/27

Step-by-step explanation: 9 times 3 is 27. To multiply, you have to multiply both the top and the bottom to identify the final answer.