Sam bought a shirt for $30. He paid an additional 8% sales tax. What is the total amount Sam paid for the shirt?

Answer:

[tex]\large\boxed{C=16\pi\approx50.24}[/tex]

Step-by-step explanation:

The formula of a circumference of a circle:

[tex]C=2\pi r[/tex]

r - radius

We have r = 8. Substitute:

[tex]C=2\pi(8)=16\pi[/tex]

[tex]\pi\approx3.14\to C\approx(16)(3.14)=50.24[/tex]

Answer:

50.24 units

Step-by-step explanation:

Hope this helps!

Answer

Their combined score is 331 points

Explanation

Determine each person's score

Collin score: 139

Brian: 139 + 53 = 192

Add the scores together

139 + 192 = 331

Colin scored 139 points and Brian scored 53 points more than Colin, which is 192 points. Adding Colin's and Brian's scores gives a combined score of 331 points.

In the game of darts, Colin and Brian scored different points. We know that Colin scored 139 points. As per the information given, Brian scored 53 points more than Colin. So, to find out how many points Brian scored, we can add 53 to Colin's score of 139, which gives us 192 points for Brian.

To find out the combined score of Colin and Brian, we simply add Colin's score to Brian's score. So, 139 (Colin's score) plus 192 (Brian's score) equals 331.

Therefore, the combined score of Colin and Brian is 331 points.

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[tex]\text{Hey there!}[/tex]

[tex]\text{The answer is: (3g + 2)(g + 2)}[/tex]

[tex]\text{To make sure it comes back to the original problem}\bf{(3g^2+8g+4)}[/tex] [tex]\text{You would have to distribute the answer}[/tex]

[tex]\text{3g(g)=}3g^2\\ \text{3g(2)=6g}\\ \text{2(g)=2g}\\ \text{2(2)=4}[/tex]

[tex]\text{After distributing combine your like terms:}[/tex]

[tex]\text{In this particular answer we have: 1 term with TWO LIKE TERMS}[/tex]

[tex]\text{6g+2g=8g(That's how we got the 8g in the original equation)}[/tex]

[tex]\text{The}\bf{\ 3g^2}\text{ stays the same because there's nothing to go with it}[/tex]

[tex]\text{The 4 also stays the same because nothing goes with it as well}[/tex]

[tex]\boxed{\boxed{\text{Answer:(3x + 2 (x + 2)})}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

2(4x + 1)(x + 1)

Step-by-step explanation:

Given

8x² + 10x + 2 ← factor out 2 from each term

= 2(4x² + 5x + 1)

To factor the quadratic

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term

product = 4 × 1 = 4 and sum = + 5

The factors are + 1 and + 4

Use these factors to split the x - term

4x² + x + 4x + 1 ( factor the first/second and third/fourth terms )

= x(4x + 1) + 1 (4x + 1) ← factor out (4x + 1)

= (4x + 1)(x + 1), thus

4x² + 5x + 1 = (4x + 1)(x + 1) and

8x² + 10x + 2 = 2(4x + 1)(x + 1) ← in factored form

Answer:

SSS Congruence Theorem

Step-by-step explanation:

sss congruence theorem. you can get this answer by marking all the givens.

Step-by-step explanation:

dude i have no idea sorry

The Calculating area and perimeter worksheet from works.com

#4

Area: [tex]360 yd^2[/tex]

Perimeter: 30 yd

#5

Area: [tex]45 yd^2[/tex]

Perimeter: 22 yd

#6

Area: 87 yd^2

Perimeter: 30 yd

#7

Area: 72 ft^2

Perimeter: 24 ft

#8

Area: 150 ft^2

Perimeter: 30 ft

#9

Area: 2128 ft^2

Perimeter: 70 ft.

Area is the amount of space that a two-dimensional shape takes up. It is measured in square units, such as square feet (ft^2), square yards (yd^2), or square meters (m^2).

To calculate the area of a rectangle, multiply the length by the width.

Area of a rectangle = length * width

To calculate the area of a square, multiply the side length by itself.

Area of a square = side length * side length

To calculate the area of a triangle, multiply the base by the height and divide by 2.

Area of a triangle = base * height / 2

Perimeter is the total length of all the sides of a two-dimensional shape. It is measured in linear units, such as feet (ft), yards (yd), or meters (m).

To calculate the perimeter of a shape, add up the lengths of all the sides.

Perimeter of a shape = sum of the lengths of all the sides

Example:

To calculate the area and perimeter of the rectangle in question #4, we would use the following formulas:

Area = length * width = 5 yd * 72 yd = 360 yd^2

Perimeter = sum of the lengths of all the sides = 5 yd + 72 yd + 5 yd + 72 yd = 30 yd

Answers to the remaining questions:

#5:

Area = 45 yd^2

Perimeter = 22 yd

#6:

Area = 87 yd^2

Perimeter = 30 yd

#7:

Area = 72 ft^2

Perimeter = 24 ft

#8:

Area = 150 ft^2

Perimeter = 30 ft

#9:

Area = 2128 ft^2

Perimeter = 70 ft.

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Step-by-step explanation:

hope it helps you!!!!!!!

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

√72-3×√12+√192

As we have

[tex]\sqrt{72}=6\sqrt{2}[/tex]

[tex]\sqrt{12}=6\sqrt{2}[/tex]

[tex]\sqrt{192}=8\sqrt{3}[/tex]

So, our equation becomes

[tex]6\sqrt{2}-3\times 2\sqrt{3}+8\sqrt{3}\\\\=6\sqrt{2}-6\sqrt{3}+8\sqrt{3}\\\\=6\sqrt{2}+2\sqrt{3}[/tex]

Hence, Option 'A' is correct.

ANSWER

B(r,0)

or

B(0,s)

EXPLANATION

In rectangle ABCD, the coordinates of A are (0, 0) and of C are (r, s).

When we name the triangle in a clockwise direction.

Then B must bear the y-coordinate of A and bear the x-coordinate of C.

This gives us (r,0)

When we name the triangle in an anticlockwise direction.

Then B must bear the x-coordinate of A and bear the y-coordinate of C.

This gives us (0,s)

Answer:

To find perimeter, you must add length plus length plus width plus width.

(L+L+W+W)

the length is 5, and the width is 8. since there are 4 sides, we must add 5+5+8+8, and that equals 26.

As we know the formula for finding the perimeter of a rectangle is:

[tex]Perimeter=2(L+B)[/tex]

here, L is the length of the rectangle and B is the breadth of the rectangle.

As the values of the length and breadth are given, we will put in the formula;

[tex]Perimeter=2(8+5)[/tex]

[tex]Perimeter=2(13)[/tex]

[tex]Perimeter=26[/tex]

Hence, the perimeter of the rectangle is 26 units.

Perimeter is the distance around the edge of a shape.

The total length of the boundary of a closed shape is called its perimeter. Hence, the perimeter of that shape is measured as the sum of all the sides. Thus, the perimeter formula is Perimeter(P) = Sum of all the sides.

Any equation expressed in terms of parameters is a parametric equation. The general equation of a straight line in slope-intercept form, y = mx + b, in which m and b are parameters, is an example of a parametric equation.

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Answer:

[tex]\huge \boxed{x<\frac{12}{7}}[/tex]

Step-by-step explanation:

First thing you do is add by 2 from both sides of equation.

[tex]\displaystyle 7x-2+2<10+2[/tex]

Simplify.

[tex]\displaystyle 10+2=12[/tex]

[tex]\displaystyle 7x<12[/tex]

Divide by 7 from both sides of equation.

[tex]\displaystyle \frac{7x}{7}<\frac{12}{7}[/tex]

Simplify, to find the answer.

[tex]\displaystyle\huge\boxed{ x<\frac{12}{7}}[/tex], which is our answer.

The inequation 7x - 2 < 10 is x < 12/7.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The inequation 7x - 2 < 10 is,

7x < 12.

x < 12/7.

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Answer:

x ≤ - 4

Step-by-step explanation:

Given

3 - x ≥ 2x + 15 ( add x to both sides )

3 ≥ 3x + 15 ( subtract 15 from both sides )

- 12 ≥ 3x ( divide both sides by 3 )

- 4 ≥ x, hence

x ≤ - 4

3 - x is greater than equal to 2 X + 15

3 is greater than equal to 3X + 15

- 12 is greater than equal to 3 x

- 4 is greater than equal to x

hence x b - 4 - 4 is greater than x

Answer:

Second option

Step-by-step explanation:

Option 1:

1. Original cost: 90% * 1000 = $900

2. Interest: A = P(1 + rt), A = amount, P = original amount, r = rate, t = years

Plug in: A = 900(1 + 0.05*3)

Multiply + add: A = 900(1.15)

Multiply: A = $1035

Option 2: $1000

So, paying full price upfront will save more money if all goes to plan.

Answer:

B and C are true.

The statement (B)  Mr. Ehrig is at the lowest elevation, and statement (C) Mrs. White is closest to street level are correct.

The distance up or down a specified point of comparison, most often a reference spherical geometry, a mathematical model of the Earth's sea level as an equipotential gravitational surface, determines a physical location's elevation.

We have:

Mr. Harmin is sitting in his office on the third floor of a building.

He is at an elevation of 30 feet in relation to street level.

Mr. Ehrig is in the parking garage at an elevation of –35 feet, and Mrs. White is in the parking garage at an elevation of –25 feet in relation to street level.

From the above data we can say Mr. Ehrig is at the lowest elevation which is -35 and Mrs. White is closest to street level which is 25 feet

Thus, the statement (B)  Mr. Ehrig is at the lowest elevation, and statement (C) Mrs. White is closest to street level are correct.

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ANSWER

The area of the base is 14.5π in²

EXPLANATION

The volume of a cylinder is given by

[tex]Volume =base\:area \times height[/tex]

Or

V=Bh

It was given that the volume of the cylinder is 174π in³.

The height was given as 12 inches.

We substitute to get,

174π=12B

Divide both sides by 12 to get:

B=14.5π in²

Hence the area of the base is 14.5π in²

Answer:

14.5

Step-by-step explanation:

Answer:

2x^2-6x-4

Step-by-step explanation:

(7x2 + 4x - 9)

-(5x2 + 10x - 5)

=

7x^2-5x^2=2x^2

4x-10x=-6x

-9-(-5)=-4

thus, your answer is 2x^2-6x-4

Answer:

Choice C

Step-by-step explanation:

(f+g)(x) is a composite function which is obtained by adding the two given functions f(x) and g(x)

(f+g)(x) = f(x) + g(x)

            = [tex]3^{x} +10x+4x-2[/tex]

            = [tex]3^{x} +14x-2[/tex]

Answer:

[tex]sin(t) =\frac{\sqrt{7}}{4}[/tex]

Step-by-step explanation:

By definition we know that

[tex]sec(t) = \frac{1}{cos(t)}[/tex]

and

[tex]cos ^ 2(t) = 1-sin ^ 2(t)[/tex]

As [tex]sec(t) = -\frac{4}{3}[/tex]

Then

[tex]sec(t) = -\frac{4}{3}\\\\\frac{1}{cos(t)} =-\frac{4}{3}\\\\cos(t) = -\frac{3}{4}[/tex]

Now square both sides of the equation:

[tex]cos^2(t) = (-\frac{3}{4})^2[/tex]

[tex]cos^2(t) = \frac{9}{16}\\\\[/tex]

[tex]1-sin^2(t) =\frac{9}{16}\\\\sin^2(t) =1-\frac{9}{16}\\\\sin^2(t) =\frac{7}{16}\\\\sin(t) =\±\sqrt{\frac{7}{16}}[/tex]

In the second quadrant sin (t) is positive. Then we take the positive root

[tex]sin(t) =\sqrt{\frac{7}{16}}[/tex]

[tex]sin(t) =\frac{\sqrt{7}}{4}[/tex]

The value of sin(t) = √7/4 because sine is positive in Quadrant II.

First, recall that sec(t) is the reciprocal of cos(t):

sec(t) = 1/cos(t)

Given: sec(t) = -4/3, so:

cos(t) = -3/4

Since angle t lies in Quadrant II, cosine is negative, and sine is positive. Use the Pythagorean identity:

sin²(t) + cos²(t) = 1

Substitute cos(t):

sin²(t) + (-3/4)² = 1

sin²(t) + 9/16 = 1

Solve for sin²(t):

sin²(t) = 1 - 9/16

sin²(t) = 16/16 - 9/16

sin²(t) = 7/16

Take the square root of both sides:

sin(t) = √(7/16) = √7/4

Since we are in Quadrant II, sine is positive:

sin(t) = √7/4

[tex]y=\sqrt{x}[/tex] is the square root function. The graph of this function has been attached below. As you can see, this is in fact a function it passes the Vertical Line Test for Functions that establishes that if a vertical line intersects a graph at most one point, then this is a function. From the square root function we know:

Answer:

b on edge

Step-by-step explanation:

C. Are simmetrical

A. is false because only quadrilaterals have 4 sides

B. is false because polygons like equilateral triangle and regular pentagon have an odd number of sides

D. A polygon doesn't have an unique size. It changes every time, cause we can decide its size

Answer: The answer is C. are symmetrical.

Step-by-step explanation: There is a line of symmetry,  which is a line where one half of the polygon is a mirror image of the other side. This means that even if a polygon has 5 sides, for example, then it would still be symmetrical.

Answer:

Statement:                                                       Reason:

ΔNQM and ΔNQP are right triangle           Definition of a right triangle

SinM = h/p  and SinP = h/m                        Definition of sine ratio

p sin M = m sin P                                          Substitution property of equality

p sin M / pm = msinP / pm                           Division property of equality.

Answer:

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.

Step-by-step explanation:

Exponential equations are usually in the form;

[tex]y=ab^{x}[/tex]

where;

a is the initial value, that is the value of y when x is 0,

b is the growth or decay factor and also the base of the exponential function

If b>1, then it is an exponential growth function and the values of y keep getting bigger.

if 0<b<1, then it is an exponential decay function and the y values keep getting smaller as x increases.

In the function given;

[tex]y=(\frac{1}{2})^{x}[/tex]

The base of the exponential function is 0.5 which is between 0 and 1 and thus this is an exponential decay function.

In order to justify our prediction, we can simply obtain the graph of the function and check on how x and y vary.

From the attachment below we can see that the values of y become increasingly smaller as the values of x increases in magnitude which justifies our predictions.

The function y = [tex](1/2)^x[/tex] represents an exponential decay because the base (1/2) is a fraction less than 1.

The function y = [tex](1/2)^x[/tex] represents an exponential decay model because it is in the form y = [tex]a^x[/tex] where a is a fraction between 0 and 1 (0 < a < 1).

An exponential decay function describes a situation where the quantity decreases over time, and the rate of decrease slows down as the quantity gets smaller.

In contrast, if a were greater than 1, it would represent exponential growth, indicating that the quantity increases over time, and the rate of increase accelerates as the quantity grows larger.

So, since (1/2) is less than 1, the function shows exponential decay.

Answer:

P =26%

Step-by-step explanation:

In this problem we have the ages of all new employees hired during the last 10 years of normally distributed.

We know that the mean is [tex]\mu = 35[/tex] years and standard deviation is [tex]\sigma = 10[/tex] years

By definition we know that if we take a sample of size n of a population with normal distribution, then the sample will also have a normal distribution with a mean

[tex]\mu_m = \mu[/tex]

And with standard deviation

[tex]\sigma_m = \frac{\sigma}{\sqrt{n}}[/tex]

Then the average of the sample will be

[tex]\mu_m = 35\ years[/tex]

And the standard deviation of the sample will be

[tex]\sigma_m =\frac{10}{\sqrt{10}} = 3.1622[/tex]

Now we look for the probability that the mean of the sample is greater than or equal to 37.

This is

[tex]P({\displaystyle{\overline {x}}}\geq 37)[/tex]

To find this probability we find the Z-score

[tex]Z = \frac{{\displaystyle{\overline{x}}} -\mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]Z = \frac{37 -35}{\frac{10}{\sqrt{10}}} = 0.63[/tex]

So

[tex]P({\displaystyle{\overline {x}}}\geq 37) = P(\frac{{\displaystyle{\overline {x}}}-\mu}{\frac{\sigma}{\sqrt{n}}}\geq\frac{37-35}{\frac{10}{\sqrt{10}}}) = P(Z\geq0.63)[/tex]

We know that

[tex]P(Z\geq0.63)=1-P(Z<0.63)[/tex]

Looking in the normal table we have:

[tex]P(Z\geq0.63)=1-0.736\\\\P(Z\geq0.63) = 0.264[/tex]

Finally P = 26%

To find the probability that the sample mean age of 10 employees is at least 37, we can use the Central Limit Theorem and standardize the sample mean. The probability is approximately 2.28%.

To solve this problem, we need to use the Central Limit Theorem, which states that the sample mean of a large enough sample size will be approximately normally distributed regardless of the shape of the population distribution.

In this case, the mean age of new employees is normally distributed with a mean of 35 and a standard deviation of 10. We want to find the probability that the sample mean age of 10 employees is at least 37.

To find this probability, we first need to standardize the sample mean using the formula z = (x - μ) / (σ / sqrt(n)), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Using this formula, we have z = (37 - 35) / (10 / sqrt(10)) = 2 * sqrt(10).

From a standard normal distribution table, we can find that the probability of getting a z-score less than 2 * sqrt(10) is approximately 1 - 0.0228 = 0.9772. However, we want the probability of getting a sample mean at least 37, so we subtract this probability from 1 to get 1 - 0.9772 ≈ 0.0228.

Therefore, the probability that the sample mean age of 10 employees will be at least 37 is approximately 2.28%.

Answer:

$39.91

Step-by-step explanation:

6*5.55=33.30

33.30*1.07=35.63

35.63*1.12=39.91

Don't know how to delete the incorrect answer that my sister put but I can edit it, so this is what I'm editing it to.

Answer: the difference between the max is 3200.

Step-by-step explanation:

20000-16800= 3200

The difference between the max is 3200.

Subtract the smaller of the two numbers from the larger of the two numbers to find the difference between them. The difference between the two numbers is the sum's product. For instance, you could calculate the difference between 100 and 45 as follows: 100 - 45 = 55.

Given

20,000 - 16,800 = 3200

therefore, The difference between the max is 3200.

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Answer:

Part A: 1 solution

Part B: x = 3, y = 4

Step-by-step explanation:

Answer:

All of them are wrong, the answer is 3/5

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

0.6 = 6 / 10 = 3 / 5

:) Hope this answers your question :)

Answer:

fghjk²;.

Step-by-step explanation:

Final answer:

To find the product of 3840 and 5 using an area model, we can draw a rectangle with a length of 3840 units and a width of 5 units. Then, we divide the rectangle into smaller squares or rectangles of equal size. The product of 3840 and 5 is 19,200.

Explanation:

To find the product of 3840 and 5 using an area model, we can draw a rectangle with a length of 3840 units and a width of 5 units. Then, we divide the rectangle into smaller squares or rectangles of equal size. For example, we can divide the rectangle into 384 squares of length 10 and width 5, or into 192 squares of length 20 and width 10. After that, we count the total number of squares to find the product. In this case, the product of 3840 and 5 is 19,200.

Answer:

The Circumference is 62.80, The Area is 100 inches squared

Step-by-step explanation:

Diameter is 20 so the Radius is half of thats.

D=20 In

R=10 in

Circumference is diameter multipied by pi

so you multiply 20 by 3.14 and you get 62.80 inches

To Find Area you have to multiply the radius times it self. so 10×10 whoch equals 100.

so the area is 100 inches squared.