simplify 12 to the power of 3 over 12 to the power of 7

Answer:

What do you mean?

Step-by-step explanation:

Hehehehehehehhehehehehe

Answer:

48?...

Step-by-step explanation:

60-12 is 48...

Answer: The total amount paid for shoes = $63.75

Step-by-step explanation:

The original price of the shoes = $ 80

Sale Discount = 25 %

So, the discount offered = 25 % of 80 = 20

So, the Discounted Price  = Marked price - discount

= $ 80 -$ 20 = $ 60

Now, we need to calculate the sale tax of 6.25 % on $ 60.

Also, we know that  Sales Tax = Sales Tax rate x Sale Price

= $ 60 x 0.0625  = $ 3.75

Total Cost = Sale Price + Sales Tax

=  $ 60 + $ 3.75  = $63.75

Hence, the total amount paid for shoes = $63.75 included sales tax

The point of concurrency of the right bisectors of the sides of a triangle is called the circumcenter.

- The right bisector of a side of a triangle is a line that divides the side into two equal segments and is perpendicular to that side.
- The circumcenter is the point where the perpendicular bisectors of the sides of a triangle intersect.
- The circumcenter is equidistant from the vertices of the triangle.
- It lies inside the triangle if the triangle is acute, on the triangle if the triangle is right-angled, and outside the triangle if the triangle is obtuse.
- The circumcenter is the center of the circle that passes through all three vertices of the triangle, known as the circumcircle.
- The circumcenter has a special property: it is equidistant from the three vertices of the triangle, which means the distances from the circumcenter to each vertex are the same.

In conclusion, the point of concurrency of the right bisectors of the sides of a triangle is the circumcenter, which is the center of the circumcircle and equidistant from the triangle's vertices.

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The evaluation of the segment formed by the parallel lines using Thales Theorem also known as the triangle proportionality theorem are;

8. \(\overline {ST}\) is parallel to \(\overline{PR}\)

9. \(\overline{ST}\) is parallel to \(\overline{PR}\)

10. \(\overline{ST}\) is not parallel to \(\overline{PR}\)

11. x = 57.6

12. x = 25.8

13. x = 11

14. x = 10

15. x = 5

16. x = 17

Thales Theorem also known as the triangle proportionality theorem states that a parallel line to a side of a triangle that intersects the other two sides of the triangle, divides the two sides in the same proportion.

8. The ratio of the sides the segment \(\overline{ST}\) divides the sides QR and QP of the triangle ΔPQR into are; 7/11.2 = 10/16 = 0.625

Therefore; according to the Thales theorem, \(\overline{ST}\) ║ \(\overline{PR}\)

9. The ratio of the sides the parallel side to the base divides the other two sides are;

33/41.8 = 15/19

45/(102 - 45) = 45/57 = 15/19

Therefore, \(\overline{ST}\) and \(\overline{PR}\) bisects \(\overline{QP}\) and \(\overline{QR}\) into equal proportions and therefore, \(\overline{ST}\) ║ \(\overline{PR}\)

10. The ratio of the sides the segment \(\overline{ST}\)  bisects the other two sides are;

24/57 and 19/38

24/57 ≠ 19/38, therefore \(\overline{ST}\) ∦ \(\overline{PR}\)

Second part; To solve for x

11. x/30 = 48/25

x = (48/25) × 30 = 57.6

x = 57.6

12. x/34.4 = (49 - 28)/28

x = 34.4 × (49 - 28)/28 = 25.8

x = 25.8

13. (2·x + 6)/52.5 = 32/60

(2·x + 6) = 52.5 × (32/60)

x = (52.5 × (32/60)) - 6)/2 = 11

x = 11

14. (x - 3)/21 = (x - 1)/27

27·x - 27 × 3 = 21·x - 21

27·x - 81 = 21·x - 21

6·x = 60

x = 60 ÷ 6 = 10

x = 10

15. (35 - 20)/20 = (4·x - 2)/(7·x - 11)

15/20 = (4·x - 2)/(7·x - 11)

15 × (7·x - 11) = 20 × (4·x - 2)

105·x - 165 = 80·x - 40

105·x - 80·x = 165 - 40 = 125

25·x = 125

x = 125/25 = 5

x = 5

16. (x - 3)/35 = 4/(x - 7)

(x - 3) × (x - 7) = 35 × 4 = 140

x² - 10·x + 21 = 140

x² - 10·x - 119 = 0

(x - 17) × (x + 7) = 0

x = 17 or x = -7

Therefore, the possible value of x is 17

x = 17

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Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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Answer:

83 percent is the answer

Answer:

v + u - 4

Step-by-step explanation:

Answer:

81.25

Step-by-step explanation:

For a survey related to response of persons on asking about leisure or recreational activities done by them. The percentage of the people who answered Yes were surveyed in 2002 is equals to the 72.7%. So, the option(b) is right one here.

Percentage is a numerical number value. It is calculated by dividing the observed value to total value and then resultant multipling by 100. We have a table present in above figure which contain a responses to a question by the GSS survey from 1988 and 2002, asked about recreational activities that people do during their free time. We have to determine the percentage of people who answered Yes were surveyed in 2002. Now, The number of persons who answered Yes were surveyed in 2002

= 987

The number of persons who answered No were surveyed in 2002 = 371

Total number of persons who participated in survay 2002 = Sum of both who answered No or yes = 987 + 371 = 1358

So, the percentage of people who answered Yes were surveyed in 2002 =

\( (\frac{987}{1358})100\)

= 0.7268× 100

Hence, required value is 72.7%.

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Complete question:

Below is a table of responses to a question by the GSS survey. In 1988 and in 2002, they asked about leisure or recreational activities that people do during their free time. "Have you read novels, short stories, poems, or plays, other than those required by work or school in the past twelve months?"

1998 2002

Yes 968 987

No. 466 371

What percentage of the people who answered Yes were surveyed in 2002?

A. 35.4% B. 72.7% C. 50.5%

The expected number of heart cards in 60 trials is given as follows:

15 heart cards.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is then calculated as the division of the number of desired outcomes by the number of total outcomes.

Out of 52 cards in a deck, 13 are heart cards, hence the probability is given as follows:

p = 13/52

p = 1/4.

Hence, out of 60 trials, the expected number is given as follows:

E(X) = 60 x 1/4 = 15.

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To solve this problem, you will need to use the Pythagorean theorem. According to this theorem, a^2 + b^2 = c^2, where a and b are the two sides of a right-angled triangle and c is the hypotenuse or the longest side. In this case, the two sides are the distance traveled by Pepper and Lemon respectively, and the hypotenuse is the distance between them.

Distance between Lemon and Pepper. Let's say that after 15 minutes, Lemon has traveled a distance of d1, and Pepper has traveled a distance of d2. Since they are moving in perpendicular directions, we can say that the distance between them is the hypotenuse of the right-angled triangle formed by their paths.

Using the Pythagorean theorem, we can write this as:d^2 = d1^2 + d2^2Distance traveled by LemonIn 15 minutes, Lemon travels a distance of 40 x 15/60 = 10 miles.Distance traveled by PepperIn 15 minutes, Pepper travels a distance of 25 x 15/60 = 6.25 miles.Distance between Lemon and Pepper. Using the Pythagorean theorem, we can find the distance between Lemon and Pepper:d^2 = 10^2 + 6.25^2d^2 = 100 + 39.0625d^2 = 139.0625d = sqrt(139.0625)d = 11.7858 miles.  

Differentiating this expression with respect to time (t), we get:d/dt (d^2) = d/dt (d1^2 + d2^2)2d * (dd/dt) = 2d1 * (dd1/dt) + 2d2 * (dd2/dt)(dd/dt) = (d1 * dd1/dt + d2 * dd2/dt)/dd/dt = (10 * 40/60) + (6.25 * 25/60)dd/dt = 6.25 + 2.6042dd/dt = 8.8542 miles per hourThe distance between Lemon and Pepper is increasing at a rate of 8.8542 miles per hour. Therefore, the answer is that the distance between them is increasing.

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Answer:

I cant do it in a number line but it is -1

The length of AC in triangle BAC is equal 10.7 units

In trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

AC² = AB² + BC² - 2(AB)(BC) cos AC

AC² = 6² + 7² - 2(6)(7)cos110

AC = 10.7

Using cosine rule, the length of AC is 10.7 unit.

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Notice that the equation provided for the height in terms of the time has the same form as the following equation :

which is the general form of a quadratic equation.

Answer: Quadratic

Answer:

1) Skewed left

2) About 33.333%

Explanation for 2; to find the percent, use the following steps:

First, add all the numbers together to find the total number of students

4 + 6 + 6 + 8 + 12 = 36

Then, divide 12 by 36

12 ÷ 36 = 0.3333....

Finally, multiply 0.3333.... by 100

0.3333.... × 100 = 33.333....%

Answer:

9/50

Step-by-step explanation:

First, convert the decimal into a fraction. In this case, convert .18 to 18/100. Find a common factor between the numerator and denominator, which in this case, would be 2. Divide both the numerator and denominator by 2 to get 9/50. 9/50 can't be simplified further, so this is your answer.

Answer:

\(\frac{9}{50}\)

Step-by-step explanation:

0.18 is \(\frac{18}{100}\).

Let's simplify the fraction:

\(\frac{18}{100}= \frac{18/2}{100/2}=\boxed{\frac{9}{50}}\)

Hope this helps.

Answer:

4pi or 12.57

Step-by-step explanation:

Area = pi * radius^2

Area = pi * 2^2

Area = pi * 4

Area = 4pi or 12.57

Answer:

11.7

Step-by-step explanation:

5.85 * 2 =11.7

Answer

Step-by-step explanation:

sentence 3 does not use a correct verb.

Answer:

B

Step-by-step explanation:

Here, we want to find the point-slope equation of the line

We start by getting the y-intercept of the line which is y = 3

The general equation of a straight line is;

y = mx + b

where b is the y-intercept

So, we have;

y = mx + 3

Now, to get m , we insert the point given on the like which is (2,-5)

x = 2 and y = -5

-5 = 2m + 3

-8 = 2m

m = -8/2

m = -4

So the equation of the line is;

y = -4x + 3

This is same as option B

Answer:

5.2 = 0.5x + 1.9y

Step-by-step explanation:

In this case "standard form" signifies an equation resembling Ax + By = C.

Adding 0.5x to both sides results in  5.2-0.5x + 0.5x = 1.9y​ + 0.5x, or

5.2 = 0.5x + 1.9y, which is in "standard form."

Expected profit = (profit for x = 0 * probability) + (profit for x = 1 * probability) + ... + (profit for x = 10 * probability)
  - Expected profit = (-$5050 * 1/11) + (-$5005 * 1/11) + ... + (profit for x = 10 * 1/11)

The expected profit can be calculated by multiplying the profit for each possible value of x by its corresponding probability and then summing them up.
Given that x is a discrete uniform random variable that takes values from 0 to 10, each value of x has an equal probability of occurring, which is 1/11.
To find the profit for each value of x, we need to consider the units sold and the units unsold. For each unit sold, the profit is $10, and for each unit unsold, the loss is $5.
Let's calculate the expected profit step-by-step:
1. For x = 0:
  - Number of units sold = 0
  - Number of units unsold = 1010
  - Profit = (0 units sold * $10) + (1010 units unsold * -$5) = -$5050
2. For x = 1:
  - Number of units sold = 1
  - Number of units unsold = 1009
  - Profit = (1 unit sold * $10) + (1009 units unsold * -$5) = -$5005
3. Repeat the above steps for x = 2, 3, 4, 5, 6, 7, 8, 9, and 10.
4. Finally, calculate the expected profit by summing up the profits for all values of x and multiplying by their corresponding probabilities:
  - Expected profit = (profit for x = 0 * probability) + (profit for x = 1 * probability) + ... + (profit for x = 10 * probability)
  - Expected profit = (-$5050 * 1/11) + (-$5005 * 1/11) + ... + (profit for x = 10 * 1/11)

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Answer:

Step-by-step explanation:

Just use the percentage yan has already placed and fill in the "percent" collum. With that, use the percentage and cinvert it into a fraction. convert the fraction into decimals to get the number of students.

Answer:

Step-by-step explanation:

2x - 3 = 6 + x

2x - x = 6 + 3

x = 9

    2.        2(2x-3)=6+x

2(2x - 3) = 6 + x

4x - 6 = 6 + x

4x - x = 6 + 6

3x = 12

x = 12 : 3

x = 4

The printed area dimensions being 12 inches wide and 20 inches high.

What is printed area dimensions being?

The maximize the printed area of the poster with a total area of 528 square inches, top and bottom margins of 2 inches, and side margins of 5 inches, follow these steps:

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Answer:

Maybe try 'A'..good luck

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Answer:

1.) 27a^11 + 18a^9 -72a^7

2.) 6p^4q^3 - 10p^3q + 4p^2q3

Step-by-step explanation:

1.) Distribute and do the math

-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2

27a^11 + 18a^9 -72a^7

2.)  Distribute and do the math

2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2

6p^4q^3 - 10p^3q + 4p^2q3