Alicia wants to cover a section of her wall that is 2 feet wide and 12 feet long with mirrors.Each mirror tile is 2 feet wide and 1.5 feet long.How many mirror tiles does she need to cover that section?

Final answer:

To find the formula for f(q), solve the equation 11q-4=3r-6 for r. The steps include adding 6 to both sides and then dividing by 3, resulting in f(q) = (11q + 2) / 3.

Explanation:

To write a formula for f(q) in terms of q, we need to solve the equation 11q - 4 = 3r - 6 for r, the output of the function f. First, we add 6 to both sides to isolate the terms with r on the right side of the equation:

11q - 4 + 6 = 3r - 6 + 6

11q + 2 = 3r

Next, we divide both sides by 3 to solve for r:

(11q + 2) / 3 = 3r / 3

(11q + 2) / 3 = r

Therefore, the formula for f(q) is:

f(q) = (11q + 2) / 3

p=6.50h yeah ur welcome

The equations of the graph after respective transformations are;

13) f(x) = a(x + 2) - 7

14) f(x) = 3(x - 5) + 2

13) In transformations, when we translate a function to the left, it means we will add the number of units it is translated to the left to f(x).

Thus, if we translate 2 units to the left, then using the form f(x) = a(x - h) + k, we will have;

f(x) = a(x + 2) + k

This is because;

h = horizontal shift

k = the vertical shift

a = the factor of stretch.

Now, we are told that it is translated 7 units down.

Downward translation denotes subtraction. Thus, k = -7 and our final translated function is;

f(x) = a(x + 2) - 7

14) Using the same concept above;

Translation of 5 units to the left means h = -5

Also, translation of 2 units up means that k = +2

Stretching by a factor of 3 means that a = 3.

Thus, from the form; f(x) = a(x + h) + k, we have;

f(x) = 3(x - 5) + 2

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Answer: She cuts 2 pieces

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

So, to calculate the number of pieces we have to divide the length of the board (3/4) by the length of each piece (3/8)

Mathematically speaking:

3/4 ÷ 3/8 = (3x8) /(4x3)=24/12= 2  pieces

Feel free to ask for more if needed or if you did not understand something.

The two stacks will be the same height when stacked to a height of 6 inches.

To find the shortest height at which two stacks of boxes, one measuring 12 inches tall and the other measuring 18 inches tall, will be the same height, we need to find the least common multiple (LCM) of the two heights. Since 12 and 18 are both divisible by 6, the LCM is 6 inches. Therefore, the two stacks will be the same height when stacked to a height of 6 inches.

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Answer:

Step-by-step explanation:

A circumscribed circle can be defined as a circle which passes throguth all three vertices of a triangle.

To construct a circumscribed triangle, first, we need to construct the circumcenter of the triangle, which is the intersection point of its all three perpendicular bisectors. Such point of intersection has equal distance to all three vertices.

Therefore, the word missing here is circumcenter.

The mean tax-return preparation fee H&R Block charged retail customers last year was $183 (The Wall Street Journal, March 7, 2012). Use this price as the population mean and assume the population standard deviation of preparation fees is $50.

Round your answers to four decimal places.

a. What is the probability that the mean price for a sample of 30 H&R Block retail customers is within $8 of the population mean?

b. What is the probability that the mean price for a sample of 50 H&R Block retail customers is within $8 of the population mean?

Final answer:

To draw Mary's ascent and descent on a ladder, create a vertical number line from 0 to 24 feet to signify the height of the second story, then illustrate arrows for the ascent and descent.

Explanation:

To visualize Mary's movement on a ladder, we will draw a vertical number line. Let's assume the bottom of the ladder is at 0 feet. We will draw a number line up to 24 feet to represent the height Mary climbs to reach the second story of her house. Then, since Mary climbed back down, we would show her descent back to 0 feet. Here is how you can draw the scenario:

By following these steps, you will have a clear representation of Mary climbing up and down her ladder on a vertical number line.

If you have stood in front of a fireplace or near a campfire, you have felt the heat transfer known as radiation. The side of your body nearest the fire warms, while your other side remains unaffected by the heat. Although you are surrounded by air, the air has nothing to do with this transfer of heat. Heat lamps, that keep food warm, work in the same way. Radiation is the transfer of heat energy through space by electromagnetic radiation.

Answer:

Radiation transfers thermal energy from the Sun to Earth by electromagnetic waves. Electromagnetic waves can transfer energy with or without matter.

Step-by-step explanation:

Final answer:

To calculate 0.279 times 53, multiply 279 by 53 and then place the decimal point three places from the right of the product, resulting in 14.787. If rounding to two decimal places, the answer is 14.79.

Explanation:

To find the product of 0.279 times 53, we can follow the usual multiplication process. We multiply as if there were no decimal places, and then we count the total number of decimal places in both numbers to place the decimal in the correct position in the final answer.

0.279 has three decimal places, and 53 has none. After you multiply 279 by 53, count three places from the right of the resulting number to place the decimal point. So, if 279 times 53 equals 14787, then 0.279 times 53 equals 14.787.

Applying the rules of rounding, if we wanted to round the result to two decimal places we would get 14.79 since the third decimal place is a 7 which rounds up the second decimal place from 8 to 9.

The Area of Florida is 65,754.6

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Given that Florida is 65,754.59 square miles

rounding this nearest to tenth will be  65,754.6  square miles

Therefore, Area of Florida is 65,754.6 square miles

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Answer:

B=  -1

Step-by-step explanation:

Answer:

reapeating and terminating

Step-by-step explanation:

Answer:

A strong positive correlation

Step-by-step explanation:

Since the dependent variable increases as the independent variable increases, this is a positive correlation.

Plotting these points, we can see that they form a nearly straight line.  This makes it a strong correlation.

A strong positive correlation best describes the strength of the given model. So, option B is correct.

The correlation coefficient is used to measure the strong relationship between the two variables.

The formula for the correlation coefficient

[tex]r= \frac{n(\sum xy)-(\sum x)(\sum y)} {\sqrt{ {[n\sum x^2-(x)^2] [n\sum y^2-(\sum y)^2]}}}[/tex]

We need to calculate the correlation coefficient and then make a conclusion about its value.

Form a table as shown where x is the cost of items and y is the shipping cost. The table becomes

x               y              XY               x²              y²

25           5.99        149.8          625         35.9

45            8.99       404.6         2025       80.8

50            8.99       449.5         2500       80.8

70            10.99      769.3         4900       120.8

190          34.96      1773.2        10050      318.3

The formula for the correlation coefficient

[tex]r= \frac{n(\sum xy)-(\sum x)(\sum y)} {\sqrt{ {[n\sum x^2-(x)^2] [n\sum y^2-(\sum y)^2]}}}[/tex]

where n=4

[tex]= \frac{ 4(1773.2)-(190)(34.96)} {\sqrt{{[4(10050)-190^2] [4(318.3)-34.96^2]}} }[/tex]

r[tex]=\frac{450}{4100\times51}[/tex]

r = 450 / √209100

r = 450/457.3

r = 0.98409

Thus, The value of r indicates a stronger positive correlation.

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Answer:

[tex]8\frac{1}{8}[/tex] L

Step-by-step explanation:

A recipe of chicken soup calls for chicken stocks = [tex]2\frac{1}{2}[/tex] L

Josh makes [tex]3\frac{1}{4}[/tex] times the recipe

= [tex]3\frac{1}{4}[/tex] × [tex]2\frac{1}{2}[/tex]

= [tex]\frac{13}{4}[/tex] × [tex]\frac{5}{2}[/tex]

= [tex]\frac{65}{8}[/tex]

= [tex]8\frac{1}{8}[/tex]

Josh would use [tex]8\frac{1}{8}[/tex] L of chicken stocks.

Answer: its c

Step-by-step explanation:

5+4=9 9+8=17

Answer:  The correct option is

(A) x < 3.

Step-by-step explanation:  Given that one-third of a number is greater than five less than twice the number.

We are to select the inequality that is TRUE.

Let the required number be represented by x.

Then, according to the given information,we have

[tex]\dfrac{1}{3}x>2x-5\\\\\\\Rightarrow x>3(2x-5)\\\\\Rightarrow x>6x-15\\\\\Rightarrow x-6x>-15\\\\\Rightarrow -5x>-15\\\\\Rightarrow 5x<15~~~~~~~~~~[\textup{since }-a>-b~~~\Rightarrow a<b]\\\\\Rightarrow x<\dfrac{15}{5}\\\\\Rightarrow x<3.[/tex]

Thus, the true statement is x < 3.

Option (A) is CORRECT.

The initial amount given is $10, this represents a constant

Now another friends is willing to give an amount which is not fixed, hence it is dependent on the amount if miles we walk

Let this variable amount be x

We have walks 5 miles in total

We have raid is 13.5 total amount

Therefore he expression to represent the total amount we have made is given as

10+5x= 13.50

Let us solve for x

subtract 10 from both sides we have

5x= 13.5-10

5x= 3.50

divide both sides by 5 we have

x = 3.5/5

x= 0.7

Hence our friend gives us $0.7 per mile

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