The total bill for repairing Steve's television was $125. The
repair shop charged $25 an hour for labor plus $19 for parts.
How many hours of labor did it take to repair Steve's television?
Round the answer to the nearest tenth of an hour.
A 4.2 hours
B 5.0 hours
C 5.3 hours
D 7.9 hours

Answer:

Step-by-step explanation:

Given

Formula for compound interest is:

Substituting values

The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:

πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:

A = (πr^2)/2 + rh

To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:

r = (9 - 2h)/(π)

Now we can rewrite the area function in terms of h only:

A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)

Simplifying this equation, we get:

A = (1/2)(9h - h^2/π)

To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:

dA/dh = 9/2 - h/π = 0

Solving this equation, we find:h = 9π/2

Substituting this value of h back into the area function, we get:

A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4

Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

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The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.

By multiplying each number in the ratio by 4, we get:

1.25 * 4 = 5

3.75 * 4 = 15

7.5 * 4 = 30

So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.

This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.

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Answer:

Sophie will get $3.18 back in change.

Step-by-step explanation:

You do 5.00-1.82 and you get 3.18, which is equal to the change that Sophie will get.

394 subscribers are represented in the venn diagram.

Venn diagrams are charts that are used to visually represent relationships between sets, operations on those relationships, and set relationships. The Venn diagram, which uses circles that are overlapped, intersected, and not intersected to depict the relationship between sets, was created by John Venn. A set diagram or a logic diagram is another name for a Venn diagram, which shows a variety of set operations such the intersection, union, and difference of sets.

Additionally, it can be used to set items. a depiction of each relationship between several sets. Any closed figure, such as a circle or a polygon (square, hexagon, etc.), can be used to represent a Venn diagram. However, each group is typically represented as a circle.

according to the venn diagram

196+41+21+52+84 = 394

There are 394 subscribers

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The graph of the linear inequality y ≥ 2x - 5 is attached below with it's shaded part included.

The graph of an inequality in two variables is the set of points that represents all solutions to the inequality. A linear inequality divides the coordinate plane into two halves by a boundary line where one half represents the solutions of the inequality.

In the given problem, the inequality presented is;

y ≥ 2x - 5

To graph this, we would use a graphing calculator to find the boundary lines and plane.

In the graph below, the x and y intercept is at (2.5, -5) and the shaded part is on the left side of the graph.

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Answer:

a. 17  b. 51

Step-by-step explanation:

Follow Order of Operations (PEMDAS):

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

a.  9 + 4² - (4-2) • 4

9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)

9 + 4² - 2 • 4 ––– 4² (exponents)

9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)

9 + 16 - 8 ––– 9 + 16 (addition)

25 - 8 ––– 25 - 8 (subtraction)

17

b. 15 - 4 + 2(7-3) • 5

15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)

~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.

15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)

15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*

11 + 40 ––– 11 + 40 (addition)

51

Answer:

(a. 7)  (b. 51)

Step-by-step explanation:

A.

\(9 + 4^{2} - (4-2) * 4\\\\9 + 4^{2} - (2) * 4\\9 + 16 - 2 * 4\\9 + 16 - 8\\25 - 8\\17 \\\)

B.

\(15 - 4 + 2 (7 - 3) * 5\\15 - 4 + 2 (4) * 5\\15-4+(2*4*5 )\\15-4+40\\11 + 40\\51\)

(I don't know the numerical values)

a. The inequality is expressed as: 14.99 + 2.75y ≤ 25; b. Sharon can buy up to 3 skeins of yarn, given that the total cost of the gift including the knitting machine and yarn is at most $25.

a. Let y be the number of skeins of yarn that Sharon buys. The total cost of the gift, including the knitting machine and the yarn, is $25 or less. Since the knitting machine costs $14.99 and each skein of yarn costs $2.75, the inequality that represents this problem is:

14.99 + 2.75y ≤ 25

b. To find the maximum number of skeins Sharon can buy, we need to solve the inequality for y. First, we can simplify the inequality by subtracting 14.99 from both sides:

2.75y ≤ 10.01

Next, we can isolate y by dividing both sides by 2.75:

y ≤ 3.64

Since Sharon can't buy a fractional part of a skein of yarn, the maximum number of skeins she can afford to buy is 3. To justify this answer, we can substitute y = 3 into the original inequality:

14.99 + 2.75(3) = 22.24

Since 22.24 is less than or equal to $25, Sharon can afford to buy 3 skeins of yarn in addition to the knitting machine. If she were to buy more than 3 skeins, the total cost of the gift would exceed $25.

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Answer:

She will need 60 bags.

Step-by-step explanation:

You would need to divide 5 marbles by 30 marbles and get 60 groups. So 60 bags.

The weight of the male that has a body surface area of 2.3 would be = 108kg

The body surface area (BSA) is defined as the parameter that can be used to estimate the surface area of a person's body based on body weight and height.

The formula for BSA = √w×h/3600

The weight of the male = X

The height of the male = 176cm

The BSA = 2.3

From the formula, make w the subject of formula;

w = BSA²× 3600/h

w = 2.3²× 3600/176

w= 5.29×3600 /176

w = 19044/176

w = 108kg

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Answer:

Step-by-step explanation:

-0.15 times 60

Answer:

Step-by-step explanation:

[-5/13] 3/5 +12+13 [-4/5 = - 63/65

Answer:

there should be no greather less than sign

Answer:

ok here's the graph for the system of equations, so you can look at it and find the points that are in the purple shaded area

hope this helps!

(also, this is from m4th way *the 4 is an a* which is a super helpful online calc)

Answer:

y = 5x + 5

Step-by-step explanation:

m = 5

y = mx + b

25 = 5(4) + b; b = 5

y = 5x + 5

The corresponding part of PQ is WX

The congruent statement is given as:

polygon WXYZ ≅ polygon PQRS.

This means that the corresponding points are:

W and P, X and Q, Y and R, Z and S

When two points Q and P are joined together, we have:

polygon WX ≅ polygon PQ

Hence, the corresponding part of PQ is WX

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If it dilated by a factor of 2, we will multiply the coordinates by 2 to have:

A'(11, 9) B (12, 4) C (7, 3) D (6,8)

If the coordinate points A (1 1/2, 12) B (-3, 6) C (-9, 9) is dilated by a factor of 1 1/3, the resulting coordinates will be A'(3, 16) B'(-4, 8) C'(-12, 12)

Dilations is a transformation technique used to enlarge or diminish an image.

Given the coordinate points A (5.5, 4.5) B (6, 2) C (3.5, 1.5) D (3,4), it dilated by a factor of 2, we will multiply the coordinates by 2 to have:

A'(11, 9) B (12, 4) C (7, 3) D (6,8)

Similarly if the coordinate points A (1 1/2, 12) B (-3, 6) C (-9, 9) is dilated by a factor of 1 1/3, the resulting coordinates will be A'(3, 16) B'(-4, 8) C'(-12, 12)

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Answer:

haha there is no question

Step-by-step explanation:

aww please check if there are more expect around to answer

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

If f(2b-1)=6b+2 then the function f(x)=3x+5.

Given that  the value of function f(x) at x=2b-1 is 6b+2.

We are required to find the function f(x).

Function is like a relationship between two or more variables that are expressed in equal to form. The values that we enter in the function are known as part of domain and the values that we get from the function are part of codomain or range of that function. Here 2b-1 is a part of domain and 6b+2 is a part of range.

f(2b-1)=6b+2.---------1

let 2b-1=x

b=(x+1)/2

Put the value of 2b-1=x and b=(x+1)/2 in 1.

f(x)=6(x+1)/2 +2

f(x)=3(x+1)+2

f(x)=3x+3+2

f(x)=3x+5

Hence if f(2b-)=6b+2 then the function f(x)=3x+5.

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The value of x is -3 when value of y = 15 by using the property proportion as x and y are directly related to each other.

What is direct relation?

Two variables x and y are directly related to each other if x increases or decreases the value of y also increases or decreases proportionally.

We are given that value of y is -50 then value of x is 10

We have to find the value of x when y is 15

We solve it using proportion

we have,

10/x = -50/15

On separating the variable from the constant and then simplifying we get,

x=-3

Hence the value of x is -3 when y is 15

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Answer:

(1/2) / 8 = 1/16

Step-by-step explanation:

Answer:

(1/2) ÷ 8 = 1/16

I had this question before, hope this helped!

Based on the distance between Cities A and B and also cities A and C, and the fact that the cities are on a straight line, the distance between City B and City C can be found to be 10 miles

The distance between cities A and B and cities A and C are related because they are on a straight line.

This means that the distance between  cities A and B and cities A and C can be used to find the distance between  cities B and C and also the distance between cities A and B and cities B and C can be used to find the distance between A and C.

To find the distance between cities B and C, formula is:

= Distance between cities A and C - Distance between cities A and B

= 110 - 100

= 10 miles

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The circumference of the circle has a value of 18.86 units

From the question, we have the following parameters:

Radius, r = 3 units

The circumference of the circle can be calculated using the following circumference formula

C = 2πr

Where

π = 22/7 (a constant)

r = 3

Substitute the known values in the above equation

So, we have the following equation

C = 2 * 22/7 * 3

Evaluate the products

So, we have the following equation

C = 18.86

Hence, the circumference is 18.86 units

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Answer:

1. C

2. C

3. B

Step-by-step explanation:

This was hard but i tried

Answer:

1. 32,000

2. 2,000

3. will

Step-by-step explanation:

i got it wrong and it showed me the correct answer.

We have discussed what is skewed distribution and how to deal with skewed data as mentioned below.

What is a skewed distribution?

When one tail is longer than the other, the distribution is said to be skewed. The asymmetry of a distribution is defined by skewness. These distributions are asymmetric, in contrast to the well-known normal distribution and its bell-shaped curve. Because the data are not equally distributed on both sides of the distribution peak, the two parts of the distribution are not mirror images.

A) The direction of outliers is revealed by skewness. A distribution curve's tail is longer on the right side when there is a positive skew. As a result, the distribution curve's outliers are more extreme to the right and closer to the mean to the left. Skewness simply conveys the direction of outliers; it does not convey the number of outliers.

B) Lower or upper boundaries on the data frequently cause skewed data. In other words, data with a lower bound are frequently skewed right, whereas data with an upper bound are typically skewed left.

C) One popular method for handling skewed outcome data is to logarithmically transform each observation before conducting the analysis with the resulting values.

D) It is likely that the income distribution curve you plot on a graph will be positively skewed to the right. If the majority of people earn normal earnings and a smaller proportion earn high incomes, then this would happen.

Therefore this is what skewed distribution is and the above mentioned ways are how one deals with skewed data in research.

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Answer:

B. 4x ≤ 320

Step-by-step explanation:

Not sure how to explain my thinking. However, 4x must be smaller than 320 because she cannot spend more than that.

Answer:

Step-by-step explanation:

b

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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The two points with an x-coordinate of 2 and a distance of 5 from (-2, -4) are: (2, -4 + 2√13) and (2, -4 - 2√13)

What is distance formula?

Distance is a measurement of how far away two things or locations are, either numerically or occasionally qualitatively.

Distance formula: \(distance = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)

We can solve this problem using the distance formula, which gives us the distance between two points in a plane:

\(distance = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)}\)

Let (x, y) be a point with an x-coordinate of 2. Then we can write the distance from (-2, -4) to (x, y) as:

\(distance = \sqrt{((x - (-2))^2 + (y - (-4))^2)}\)

Simplifying this expression, we get:

\(distance = \sqrt{((x + 2)^2 + (y + 4)^2)}\)

We know that the distance between (-2, -4) and (x, y) is 5. Therefore, we can write:

\(\sqrt{((x + 2)^2 + (y + 4)^2)} = 5\)

Squaring both sides, we get:

\((x + 2)^2 + (y + 4)^2 = 25\)

Expanding the left side, we get:

\(x^2 + 4x + 4 + y^2 + 8y + 16 = 25\)

Simplifying this expression, we get:

\(x^2 + 4x + y^2 + 8y - 5 = 0\)

To find all points with an x-coordinate of 2 that satisfy this equation, we can substitute x = 2 and simplify the resulting equation:

\(2^2 + 4(2) + y^2 + 8y - 5 = 0\)

Simplifying this equation, we get:

\(y^2 + 8y + 3 = 0\)

We can solve this quadratic equation using the quadratic formula:

y = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 1, b = 8, and c = 3.

Plugging in these values, we get:

y = (-8 ± sqrt(8^2 - 4(1)(3))) / 2(1)

Simplifying this expression, we get:

y = (-8 ± √52) / 2

y = (-8 ± 2√13) / 2

y = -4 ± √13

Therefore, the two points with an x-coordinate of 2 and a distance of 5 from (-2, -4) are: (2, -4 + 2√13) and (2, -4 - 2√13)

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