Can I get help with this question?

a.) The area of the floor = 246.5ft²

b.) The amount that it will cost to put down the new floor would be = $2,711.5

C.) The new dimensions of the area rug would be= Length= 21ft, width = 18.5 ft.

d.) The area of the area rug would be = 388.5ft²

For question a.)

The floor has a rectangular shape. The area of a rectangle = length×width

area of the floor= 17×14.5

= 246.5ft²

For question b.)

For a square foot(1ft²) = $11

246.5ft² = 246.5×11 = $2,711.5

For question c.)

Since the rug will be extended by 2ft at each side, the new dimensions would be:

length = 2+2+17 = 21ft

width = 2+2+14.5 = 18.5ft

For question d.)

The area of the floor with the new dimensions = 21×18.5 = 388.5ft²

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The loss on selling 50 shares of stock would be 87.50.

To calculate the loss on selling 50 shares of stock originally bought at

\(13\frac{3}{4}\) and sold at 12, we need to determine the difference between the purchase price and the selling price, and then multiply it by the number of shares sold.

First, let's convert the purchase price from a mixed fraction to a decimal. \(13\frac{3}{4}\) can be expressed as 13.75.

Next, we calculate the difference between the purchase price and the selling price:

\(13.75 - 12 = 1.75.\)

Finally, we multiply the difference by the number of shares sold:

\(1.75 \times50 = 87.50.\)

Therefore, the loss on selling 50 shares of stock would be 87.50.

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Answer: a. 1.981 < μ < 2.18

              b. Yes.

Step-by-step explanation:

A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.

First, we calculate mean of the sample:

\(\overline{x}=\frac{\Sigma x}{n}\)

\(\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}\)

\(\overline{x}=\) 2.08

Now, we estimate standard deviation:

\(s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }\)

\(s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }\)

s = 0.1564

For t-score, we need to determine degree of freedom and \(\frac{\alpha}{2}\):

df = 12 - 1

df = 11

\(\alpha\) = 1 - 0.95

α = 0.05

\(\frac{\alpha}{2}=\) 0.025

Then, t-score is

\(t_{11,0.025}\) = 2.201

The interval will be

\(\overline{x}\) ± \(t.\frac{s}{\sqrt{n} }\)

2.08 ± \(2.201\frac{0.1564}{\sqrt{12} }\)

2.08 ± 0.099

The 95% two-sided CI on the mean is 1.981 < μ < 2.18.

B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.

The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.

The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.

As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:

When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).

As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.

For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.

The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.

Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.

The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.

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Answer:

  \((\sqrt{8},0)\\(-\sqrt{8},0)\)

Step-by-step explanation:

x² – 2x + 3 = -2x + 12

    +2x    -3      +2x  -3

                x²=8

         \(\sqrt{x^{2} } =\sqrt{8}\)

           \(x=\sqrt{8}\)

The equation for the bag with all nuts is 13 / ( 1/4 ) = 52 bags

Given data ,

Bob packs 13 pounds of nuts in bags.

Each bag has 1/4 pound of nuts

Now , the number of bags = pounds of nuts / pounds of nuts in each bag

A = 13 / 1/4

On simplifying the equation , we get

A = 52 bags

Hence , the number of bags is 52 bags

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Answer:

Amount fudge he needs = 23/24 kg

Step-by-step explanation:

Given:

Total fudge wants = 1\(\frac{1}{2}\) = 3/2 kg

His sister gave = 1/6 kg

He make = 3/8 kg

Find:

Amount fudge he needs

Computation:

Amount fudge he needs = Total fudge wants - His sister gave - He make

Amount fudge he needs = 3/2 - 1/6 - 3/8

Amount fudge he needs = 23/24 kg

9514 1404 393

Answer:

  HL

Step-by-step explanation:

The triangles are right triangles, opening the possibility of using the special right-triangle congruence theorems.

The hypotenuses are marked congruent, and one leg is shared. No angles (except the right angle) are marked congruent. With only two sides and one angle, the AAS, SSS, and ASA theorems cannot apply.

The HL theorem can be used to show the triangles are congruent.

Answer:

AAS

Step-by-step explanation:

Answer:

y=-33 (y=6(-5)-3

y=-9

y=-3

y=3

Answer:

91°

Step-by-step explanation:

we can set up a system of equations.

for angle TSU, we can set that as y.

all angles in a triangle equal 180, so

5x-1 + 57 + y = 180

5x+56+y = 180

5x+y=124

we also know on a straight line is equal to 180, so

12x + 7 + y = 180

12x + y = 173

we can use elimination to get rid of the y.

7x = 49

x= 7

so WST = 12(7) + 7 = 84 + 7 = 91

WST = 91°

Answer:  91

Step-by-step explanation:

Given:

<WST = 12x +7

<T= 5x -1

<U = 57

Find:  <WST

Solution:

There is a rule that the external angle. <WST, is equal to the 2 other  opposite interior angles, <T and < U

Write your equation:

<WST = <T + <U                  >Substitute

12x + 7 = 5x - 1 +57             >Simplify like terms

12x +7 = 5x +56                  > Bring x's to one side and numbers to other

7x = 49

x = 7

Substitute x back into angle to find angle

<WST = 12x + 7

<WST = 12(7) +7

<WST = 84 +7

<WST = 91

"The correct option is C." The only expression that is equivalent to log 2 - log 4 is option C: log(2) + log(¹).

The expression "log 2 - log 4" can be simplified using                   logarithmic properties. Specifically, the property states that "log(a) - log(b) = log(a/b)." Applying this property to the given expression, we have "log 2 - log 4 = log(2/4) = log(1/2) = -log(2)."

The expression log 2 - log 4 can be simplified using logarithmic properties. Let's analyze each option:

A. log(¹): This expression is not equivalent to log 2 - log 4. The logarithm of 1 is 0, but it does not cancel out the terms log 2 and log 4.

B. log 1: This expression is equivalent to 0, but it does not cancel out the terms log 2 and log 4.

C. log(2) + log(¹): This expression is equivalent to log 2 + 0, which simplifies to just log 2. It is not equivalent to log 2 - log 4.

D. log 2: This expression is not equivalent to log 2 - log 4. It represents the logarithm of 2, but it does not account for the subtraction of log 4.

Option C, "log(2) + log(¹)," again uses an exponentiation notation without an exponent and is not a valid mathematical expression.

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The length of diagonal \(\mathrm{\overline{LN}}\) is 406.44\(\overline{LN}\) 20.16 inches.

Using the equals sign (=) to indicate equivalence, a math equation links two statements. Algebraic equations prove the equality of two mathematical formulas through a mathematical assertion. The equal symbol, for example, puts a space between the numbers 3x + 5 and 14 in the equation 3x + 5 = 14.

You can use a mathematical formula to understand the connection between the two lines that are printed on opposite sides of a letter. Most of the time, the emblem and the particular program match. e.g., 2x - 4 = 2 is an example.

The Pythagorean formula can be used to determine the diagonal LN's length. We can see that LM is 12.0 inches long while MN is 16.2 inches long

So, the Pythagorean Theorem can be applied as follows:

LN = LM + MN LN = (12.0) + (16.2) LN = 144 + 262.44 LN = 406.44 LN  20.16 inches.

Consequently, the longitudinal LN measures about 20.16 inches in length.

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The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.

To determine the time interval of the water in the pool the following is carried out.

At 0 hour, the water is at the level of = 40 gallons

At 1 hour, the water decreased to = 25 gallons.

At 2 hours, the water decreased to = 10 gallons.

The water remained at a constant level till 4 hours.

Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.

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Answer: 56.52mm

Step-by-step explanation:

First, you have to find the circumference of the wheel and divide it by 25 since the spokes are equally spaced.

The equation for the circumference of a circle is:

C = 2πr

C = 2 x π x 225

C = 1413

Then, you divide it by 25

1413/25 = 56.52

Answer:

3

Step-by-step explanation:

:) mark me as brainlist?

Answer:

3

Step-by-step explanation:

The GCF is the largest common positive integer that divides all the numbers (24,63) without a remainder

Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

Meaning of probability :

Probability is calculation of how likely some event will happen. Whenever we are not sure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are going to happen.

The analysis of events governed by probability is called statistics.

According to the given information :

Red section = \(\frac{2}{5}\)

multiply numerator and denominator by \(2\) we get

Red section = \(\frac{4}{10}\)

 Blue section = \(\frac{1}{2}\)

 multiply numerator and denominator by \(5\) we get

 Blue section = \(\frac{5}{10}\)

 Green section = \(1\)- Red section - Blue section

 Green section =\(1-\frac{4}{10} -\frac{5}{10}\)

  Green section = \(\frac{1}{10}\)

Therefore Probability of red = \(\frac{4}{10}\) , blue = \(\frac{5}{10}\) , green = \(\frac{1}{10}\).

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Jillian made the exact amount was $1598 in 3 weeks.

Each t-shirt costs $15.

Each Large purse goes for $59

And the cost of small purses is $32 each.

In the first week, she sold 4 t-shirts and 3 large purses, and 9 small ones.

Her earning in the first week = 4 × $15 + 3 × $59 + 9 × $32 = $525

In the second week, she sold another 5 t-shirts, 7 large bags, and 4 small ones.

Her earning in the second week = 5 × $15 + 7 × $59 + 4 × $32 = $616

Last week she sold 8 t-Shirts and also sold 3 large purses and 5 small purses.

Her earning in the Last week = 8 × $15 + 3 × $59 + 5 × $32 = $457

The exact amount she made in 3 weeks = $525 + $616 + $457 = $1598

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In the above scenario, The point that B is transformed to are coordinates (10, 6). This means that it is translated to the right by 9 units and upwards by 5 units.

In order to derive the new location of point B after the transformation by matrix A, we need to perform matrix multiplication of A with the column vector representing point B.

\(\left[\begin{array}{cc}8&2\\7&1\\\end{array}\right]\)   = \(\left[\begin{array}{cc}1\\1\\\end{array}\right]\)

\(\left[\begin{array}{cc}(8 * 1) + &(2 *1)\\(7 *1)&(1 *1)\\\end{array}\right]\) =  \(\left[\begin{array}{cc}10\\6\\\end{array}\right]\)

As a result, the converted point B is situated at (10, 6). As a result of the transformation provided by matrix A, point B has been translated to the right by 9 units (from x = 1 to x = 10) and upwards by 5 units (from y = 1 to y = 6).

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Answer:

Step-by-step explanation:

Look at the population statistics. Let's say it contains:

- data on the age groups available in the population

- data on the probability that a child in the population has inadequate calcium intake OR data that a child in the population does not have the deficiency. If you're given one of these, the other can be gotten by subtracting the probability value given from 1.

So let's say there are children from ages 5 to 15 in this population and the probability that a child in this population has the deficiency is 0.23 (not all the children in this population of 5-15 year olds may have the deficiency) while the probability that a child in this population does not have the deficiency is [1-0.23] = 0.77

So if you pick a child randomly from the population and he has this deficiency, what is the probability that he or she is between 11 and 13 years old?

From ages 5-15, ages 11, 12 and 13 are 3 ages. The total number of ages is 11 ages.

3÷11 = 0.2727

This is the probability that a child picked or selected at random from the population is 11, 12, or 13 years old.

0.2727 × 0.23 = 0.0627

This is the probability that a child picked at random is BOTH within the age bracket 11 to 13 AND has the deficiency!

Apply this.

Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

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The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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The instructions telling Robot Rob how to move and turn are as listed from 1 to 8

To make Robot Rob's path a parallelogram with a 10-foot side, a 20-foot side, and a 70-degree angle, you can use the following instructions:

1. Have Robot Rob move forward 10 feet.

2. Have Robot Rob turn left by 70 degrees.

3. Have Robot Rob move forward 20 feet.

4. Have Robot Rob turn left by 110 degrees (the angle that completes the parallelogram).

5. Have Robot Rob move forward 10 feet.

6. Have Robot Rob turn left by 110 degrees.

7. Have Robot Rob move forward 20 feet.

8. Have Robot Rob turn left by 70 degrees.

You can determine these instructions by using basic geometry and trigonometry. A parallelogram has opposite sides that are parallel and equal in length, so the 10-foot and 20-foot sides are opposite sides.

An angle of 70 degrees is used because the opposite angles of a parallelogram are supplementary. The total of the opposite angles of a parallelogram is 180 degree, which means the other angle is 180 - 70 = 110 degree.

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Answer:

I think the answer is B weak positive

Answer:

Step-by-step explanation:

2 to 5 or 2:5

      or

2 to 3 or 2:3

Answer:

8

Step-by-step explanation:

Answer:

y=8 if x is 12

Step-by-step explanation:

The missing values of y are 19, 29, 34,  and 49.

The values of y missing in the table is determined by substituting the value of x into the given linear equation.

y = 4 + 5x

when x = 3, the value of y is calculated as;

y = 4 + 5 (3) = 19

when x = 5, the value of y is calculated as;

y = 4 + 5 (5) = 29

when x = 6, the value of y is calculated as;

y = 4 + 5 (6) = 34

when x = 9, the value of y is calculated as;

y = 4 + 5 (9) = 49

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The size of the velocity of the ball in the direction of the wind is 2 units

To find the size of the velocity of the ball in the direction of the wind, we can take the dot product of the ball's velocity vector and the wind velocity vector.

The dot product is defined as:

v1 • v2 = (x1 × x2) + (y1 × y2)

Substituting the coordinates of the ball's velocity vector and the wind velocity vector, we get:

(2, 1) • (3, -4) = (2 ×3) + (1 × (-4))

= 6 - 4

= 2

Therefore, the size of the velocity of the ball in the direction of the wind is 2. This represents the component of the ball's velocity that is aligned with the wind.

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Answer:

= -35x² - 31x - 6

Step-by-step explanation:

(-7x -2)(5x+3) = -7x*5x -7x*3 -2*5x -2*3 = -35x² - 21x - 10x - 6

= -35x²  - 31x - 6

Answer:

We accept H₀ . We don´t have enough evidence to express the publisher claim is not true

Step by Step explanation:

We must evaluate if the mean of the price of college textbooks is different from the value claimed by the publisher

n < 30 then we must use t - distrbution

degree of freedom   n  - 1     df = 22 - 1     df = 21

As the question mentions " different " that means,  a two-tail test

At 0,01 significance level     α  = 0,01       α/2  =  0,005

and t(c)  = 2,831

Test Hypothesis

Null Hypothesis                      H₀          μ  =  μ₀

Alternative hypothesis           Hₐ          μ  ≠  μ₀

To calculate t(s)

t(s)  =  (  μ  -  μ₀ ) /σ/√n

t(s)  =  (  433,50 - 385 ) / 86,92 / √22

t(s)  =  2,6171

Comparing   t(c)   and t(s)

t(s) < t(c)

Then  t(s) is in the acceptance region we accept H₀. We don´t have enough evidence to claim that mean price differs from publisher claim