1) The regular price of a shirt is $15. A store is offering a discount of 30%. What is the
discount price of the shirt? [Think: what are you finding, the part (discount), the percent,
or whole (original price)]

The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F

from the question, we have the following parameters that can be used in our computation:

Yeast thrives between 90°F to 95°F

For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range

Using the above as a guide, we have the following:

T < 90°F or T > 95°F.

Where

T = Temperature

Hence, the inequality is T < 90°F or T > 95°F.

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The midpoint formula and the normal vector of the plane can be used to determine the equation of the plane that contains all points equidistant from the points (1,0,-2) and (3,4,0).

Given by: The midpoint of the two points is:

M = [(1 + 3)/2, (0 + 4)/2, (-2 + 0)/2] = (2, 2, -1) (2, 2, -1)

The following vector runs between the two points:

V = (3 - 1, 4 - 0, 0 - (-2)) = (2, 4, 2) (2, 4, 2)

The cross product of two non-parallel plane vectors yields the normal vector to the plane. The midpoint M to a point on the plane is one such vector, while the other is the vector V. Consider the point P = (2, 2, -1) + t(2, 4, 2) as an illustration, where t is a scalar.

The normal vector is then provided by:

N = V x (P - M) = (2, 4, 2) x (2t, 4t, 2t -1), which equals (12t, -8t, 4t + 2)

The point-normal form, which makes use of the normal vector N and the point M, can be used to determine the equation for the plane:

(x - 2) * 12t = (y - 2) * -8t = (z + 1) * 4t + 2

The final equation of the plane is obtained by multiplying both sides of the equation by t and setting t 0.

12(x - 2) = -8(y - 2) = 4(z + 1) + 2

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Answer:

11.13 a.m = 1113 hours

3.08 p.m = 1508 hours

thus, 3 hours 55 minutes

The most accurate estimate of the population mean is 32 pounds, based on the sample data.

The best point estimate of the mean can be obtained by using the sample mean as an estimate for the population mean.

Given that the sample mean of the number of pounds that the 60 overweight men were overweight is 32, the best point estimate of the mean is also 32 pounds.

Therefore, the best point estimate of the mean is 32 pounds.

Mean: The term "mean" refers to a measure of central tendency. It is often referred to as the average of a set of numbers. The mean is calculated by adding up all the values in the set and dividing the sum by the total number of values.

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The standard deviation of the critical path is 6.

To calculate the standard deviation of the critical path, we need to use the concept of variance and consider the activities on the critical path.

The variance of a project or critical path is the sum of the variances of the activities on that path.

Since the variances are given as the squares of the standard deviations, we can square the standard deviations of each activity and sum them to find the variance of the critical path. Finally, we take the square root of the variance to obtain the standard deviation.

Given the standard deviations of the activities on the critical path:

Activity 1: Standard deviation = 1 day

Activity 2: Standard deviation = 3 days

Activity 3: Standard deviation = 1 day

Activity 4: Standard deviation = 4 days

Activity 5: Standard deviation = 3 days

Calculating the variance of the critical path:

Variance = (1^2) + (3^2) + (1^2) + (4^2) + (3^2) = 1 + 9 + 1 + 16 + 9 = 36

Taking the square root of the variance, we find the standard deviation of the critical path:

Standard deviation = √(36) = 6

Therefore, the standard deviation of the critical path is 6.

The correct choice is A. 6.

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The scale of increase in the drawing to inches in the actual room is 18

A room is 15 feet long and 12 feet wide. A scale drawing of the room is 10 inches by 8 inches

1 feet = 12 inches

Initially the room's length = 15 feet = 15 x 12 = 180 inches

On scale drawing the length = 10 inches

Let the  scale of inc in the drawing to inches in the actual room be k

10 x k = 180

k = 180 / 10 = 18

Initially the room's width = 12 feet = 12 x 12 =144 inches

On scale drawing the width = 8inches

8 x k = 144

k = 18

Therefore,  the  scale of inc in the drawing to inches in the actual room is 18

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To evaluate the function at the indicated value of x:

To evaluate the function f(x) = 500e^(0.04x) at x = 26, follow these steps:

1. Replace x with 26 in the function: f(26) = 500e^(0.04 * 26)

2. Multiply 0.04 by 26: f(26) = 500e^(1.04)

3. Calculate the exponential value: e^(1.04) ≈ 2.832

4. Multiply 500 by the calculated exponential value: f(26) = 500 * 2.832

5. Round the result to three decimal places: f(26) ≈ 1416.000

So, when evaluating the function f(x) = 500e^(0.04x) at x = 26, f(26) ≈ 1416.000.

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Answer:

Step-by-step explanation:

Given:

Isolate the term of x from one side of the equation.

Use the distributive property.

DISTRIBUTIVE PROPERTY:

\(\Longrightarrow: \sf{A(B+C)=AB+AC}\)

Each term within the parentheses can be multiplied by a factor outside the parentheses.

3(x+1)

3*x=3x

3*1=3

Rewrite the expression down.

3x+3

3x+3+2(3x+4)

Multiply expand.

2(3x+4)

2*3x=6x

2*4=8

6x+8

3x+3+6x+8

Combine like terms.

3x+6x+3+8

Add the numbers from left to right.

3+8=11

3x+6x+11

Add.

Solutions:

3x+6x=9x

\(\Longrightarrow: \boxed{\sf{9x+11}}\)

I hope this helps. Let me know if you have any questions.

The roots of a graph are also known as the x-intercepts. If you use a graphing tool to graph the given equation you will be able to see the x- intercepts. For the answer the question is asking what the x cordinates of the x intercepts are. I think the answer is (0,2,-2) but im not sure so you should check my work.

Answer:

Step-by-step explanation:

30% off of 10000 is 3000

So the loss is 10000-3000=7000

30% gain on 10000 is 3000

so the gain is 10000+3000=13000

So in all there was no losses or gains. It still equals to 20000

Answer:

-2

Step-by-step explanation:

Given margin of error increases as the margin of error increases.

To obtain a 3 percent margin of error at a 90% level of confidence, a sample size of about 750 is required. The sample size would be about 1,000 for a 95% level of confidence. Calculating the margin of error for various confidence levels is straightforward.

The ideal sample size for a population of 5,000 people has a 95% degree of confidence and a 5% margin of error, and it is 357. You may calculate this using our online calculator. This number can be used as a sample as well. It displays how many.

∴ For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error increases as the margin of error increases.

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\( {x}^{2} - 16x + 64 = \)

\( ({x - 8})^{2} \)

Thus :

\(C = 64\)

Answer:

30 ft

Step-by-step explanation:

7.5 + 12.5 + 10 = 30 ft

Step-by-step explanation:

= 3/5 × 1/6

= (3 × 1)/(5 × 6)

= 3/30

= 1/10

Answer:

\( \sf \frac{1}{10} \)

Step-by-step explanation:

\( \sf = \frac{3}{5} \times \frac{1}{6} \)

\( \sf = \frac{3 \times 1}{5 \times 6} \)

\( \sf = \frac{1 \times 1}{5 \times 2} \)

\( \sf = \frac{1}{10} \)

The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

In the question ,

it is given that ,

the quadratic function is f(x) = x² – 5x + 12 .

for x = -10 ,

f(-10) = (-10)² – 5(-10) + 12

= 100 + 50 + 12

= 162

option(a) is false .

the graph of the quadratic function is shown below .

form the graph we can see that the graph is a parabola ,

and the function opens upwards ,

the graph does not contain the points (20,-8) and (0,0)

Therefore , The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .

The given question is incomplete , the complete question is

Consider the quadratic function f(x) = x² – 5x + 12. Which statement is true about the function and its graph?

(a) The value of f(–10) = 82

(b) The graph of the function is a parabola.

(c) The graph of the function opens down.

(d) The graph contains the point (20, –8).

(e) The graph contains the point (0, 0).

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The total cost of repayment over 5 years is $23,300.

A loan repayment refers to the act of paying back money previously borrowed from a lender.

To get total cost of repayment, we must principal amount, the interest rate and the duration of the loan.

The formula to get total cost of repayment is given by \(Total Cost of Repayment = Principal + Interest\)

Interest = Principal * Interest Rate * Time

Given:

Principal amount is $20,000

Interest rate is 3.3%

Duration is 5 years.

Interest = $20,000 * 0.033 * 5

Interest = $3,300

Total Cost of Repayment = Principal + Interest

= $20,000 + $3,300

= $23,300.

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Answer:

G. 477.75

Step-by-step explanation:

Answer:

Muhammad Hussain

Step-by-step explanation:

03090490925

Given:

44, 38, 21, 37, 48, 43, 28

To find the box-and-Visker plot representing the given data:

Let us write it in ascending order.

21, 28, 37, 38, 43, 44, 48.

The median of the given data is 38.

The median of the first three terms is 28.

The median of the last three terms is 44.

The lowest of the given data is 21.

The highest of the given data is 48.

Hence, the correct option c.

Answer:

8/1

Step-by-step explanation:

Answer:

6:1

Step-by-step explanation:

(A) The function f(x) = -6x² + 15x when x = 3, f(x) = -9

(B) The solution to the equation fx + 4x + 2 = 2 is x = 0.

To evaluate the function f(x) = -6x² + 15x, we need to substitute the given values of x into the function and simplify the expression.

Let's evaluate f(x) at x = 3:

f(3) = -6(3)² + 15(3)

= -6(9) + 45

= -54 + 45

= -9

Therefore, when x = 3, f(x) = -9.

To solve the equation fx + 4x + 2 = 2, we need to isolate the variable x.

fx + 4x + 2 = 2

First, let's simplify the equation:

fx + 4x = 0

Combine like terms:

5x = 0

Divide both sides by 5:

x = 0

Therefore, the solution to the equation fx + 4x + 2 = 2 is x = 0.

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Answer:

33 chocolates

Step-by-step explanation:

3 chocolates times 5 days = 15 chocolates

48 chocolates minus 15 chocolates = 33 chocolates

Answer:

3 1/12

Step-by-step explanation:

1 1/2 x 6 = 1 6/12 = 18/12

4 7/12 = 55/12

55 - 18 = 37

37/12 = 3 1/12

Answer:

a > -12

Step-by-step explanation:

Answer:

\( \frac{ - 1}{2} a < 6\)

\(a < 6 \div \frac{ - 1}{2} \)

\(a < 6 \times - 2\)

\(a < - 12\)

Answer:

None of the answers

Step-by-step explanation:

There are 60 minutes in one hour so to find the number of minutes in two hrs we multiply 2 by 60: 2*60 = 120 minutes

We then add the extra 20 minutes: 120+20 = 140 minutes

None of the answers include 140 minutes.

Answer:

The compacity is 20 gallons per hour. Hope this helps!