A gas pipeline has a grade of 1 inch to onefoot. If the line runs from the back wall ofthe shop 20 yards to the tank, what is thedrop?

Answer:

In the explanation

Step-by-step explanation:

x = 0, y = -2*0+11=11

x = 1, y = -2*1+11=9

x = 4, y = -2*4+11=3

Hope this helps!

Answer:

412,090

Step-by-step explanation:

math+math+brain+school

Answer:

there is no slope

Step-by-step explanation:

there is no graph or points sooooooo

Airplane 1 had the fastest rate of descent during its landing.

To compare the rates of descent of the two airplanes, we need to convert both rates to a common unit of measurement. Let's convert both rates to feet per minute (ft/min) to make the comparison easier.

Airplane 1 had a rate of descent of -130 ft/s, which is equivalent to:

-130 ft/s × 60 s/min = -7800 ft/min

Airplane 2 had a rate of descent of -97/8 ft/s, which is equivalent to:

(-97/8) ft/s × 60 s/min = -729.375 ft/min

Comparing these two rates, we can see that Airplane 1 had the faster rate of descent during its landing:

-7800 ft/min (Airplane 1) > -729.375 ft/min (Airplane 2)

Therefore, Airplane 1 had the fastest rate of descent during its landing.

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To solve the equation for x, first, we add 16 from both sides of the equation:

Now, we divide by 6:

Finally, we get that:

Answer:

The  total cost for the group of ten people after discount is 10 t - 0.5 t.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Discount = 5%

Total tickets= 10

We have t represents the cost of one ticket.

So, For 10 person the cost of the ticket = 10t

Now, after discount the price of tickets

= 5% of 10t

= 0.5 t

Hence, the total cost for the group of ten people after discount is 10 t - 0.5 t.

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Answer:

Religious Officials

This could be wrong, but I hope it helps!

Answer:

67475

Step-by-step explanation:

Let P(t) = population t years after 2010 

            = 45230e0.02t

Population in 2030 = P(20)

                            = 45230e0.4≈ 67475

Answer: B

Step-by-step explanation:

Edge 2023

Answer:

£8 : £12

Step-by-step explanation:

2:3 means that there are 5 parts in total. Let parts be represented as p. 5p = £20, p = £4. That meant 2 parts = £8 and 3 parts = £12. Hence to share £20 in the ratio 2:3 is £8 : £12

Answer:

B. False

Step-by-step explanation:

The two triangles have the same size and the same shape so they are congruent. The three angles on both the triangles are equal. Just that the triangles are upside down but they are all the same.

Based on the information, we can infer that the gumball machine had 530 blue gumballs, 106 red gumballs, 848 green gumballs, 424 pink gumballs, 212 yellow gumballs.

To find the amount of gum of each color that was in the machine we must perform rules of three as shown below:

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Answer:

= - 7.68 I hope this helped you.

The cost price of the shorts is K22.50.

To find the cost price of the shorts, we need to reverse calculate the original price before the markup and taxes were applied.

Let's assume the cost price of the shorts is represented by C.

The markup of 17% is applied to the cost price, which means the selling price (including the markup) is 117% of the cost price.

117% of the cost price C can be calculated as (117/100) * C.

GST (Goods and Services Tax) is also included in the selling price. GST is typically calculated as a percentage of the selling price. In this case, the selling price of the shorts including GST is K29.25.

Since the GST is included in the selling price, we can subtract it from the selling price to obtain the selling price before GST.

Let's assume the GST rate is R% (as a decimal), then the selling price before GST can be calculated as:

Selling price before GST = Selling price - (Selling price × R)

In this case, the selling price before GST is K29.25, and the GST rate is 17% (0.17 as a decimal). Substituting these values into the equation, we have:

K29.25 = Selling price - (Selling price × 0.17)

Simplifying the equation

K29.25 = Selling price × (1 - 0.17)

K29.25 = Selling price × 0.83

Selling price = K29.25 / 0.83

Now we can substitute the selling price in terms of the cost price:

K29.25 / 0.83 = (117/100) × C

Simplifying the equation:

C = (K29.25 / 0.83) × (100/117)

Calculating the cost price C:

C = K22.50

Therefore, the cost price of the shorts is K22.50.

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Answer:

D . 48

6*8=48

It would be right answer

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{20}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{20}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{2}}}\implies 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{6}(x-\stackrel{x_1}{2})\)

Answer:  y-2 = -6 (x-2)

Step-by-step explanation: Point slope form is this equation:

y-y1 = m (x-x1)

y1 is 2 because (2,2) ; The left 2 is x1 and the right 2 is y1.

(-1,20); The -1 is x2 and the 20 is y2.

If you use the equation above it helps a lot. I hope this helps you! :)

Budgeting is an important part of how parents handle household finances as it allows them to properly provide for the family.

The question is incomplete and so I will provide a general overview of handling finances.

Budgeting is an important part of how parents handle household finances, and it can help them to properly provide for their family in a number of ways.

By creating a budget, parents can identify their sources of income and their expenses, and then allocate their resources in a way that allows them to cover their necessary expenses, such as housing, food, and healthcare, while also saving for the future and possibly even enjoying some discretionary spending.

Overall, budgeting is an important tool for parents to help manage their household finances and provide for their family in a responsible and effective way.

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Answer:

x=124

Step-by-step explanation:

Hope this helps

the whole is 180

180-48 is 132

132-8 = 124

Answer:

w = 124 degrees

Step-by-step explanation:

The straight line is equal to 180 degrees, so 48 + (w+8) = 180.

40 + (w+8) = 180

40 + w + 8 = 180

w + 40 + 8 = 180

w + 48 = 180

w + 48 - 48 = 180 - 48

w = 124 degrees

Answer:

Choice C

Step-by-step explanation:

We are given the function:

\(\displaystyle \large{f(x)=3x+5}\)

Let \(\displaystyle \large{y=f(x)}\) therefore:

\(\displaystyle \large{y=3x+5}\)

To find an inverse of function, swap the position of x and y:

\(\displaystyle \large{x=3y+5}\)

Then solve or simplify the equation in term of y:

\(\displaystyle \large{x-5=3y}\\\displaystyle \large{\frac{x-5}{3}=y}\\\displaystyle \large{y=\frac{1}{3}x-\frac{5}{3}}\)

Therefore, the answer is choice C.

__________________________________________________________

Summary

An inverse function is a function that swaps the position of domain and range, defined as notation \(\displaystyle \large{f^{-1}(x)}\) or \(\displaystyle \large{y^{-1}}\) generally. When finding an inverse function, make sure to swap position of range and domain, if given the interval.

Only one-to-one functions may have an inverse — multiple-to-one can not have an inverse such as quadratic function or any even-degree polynomial functions.

__________________________________________________________

Others

If you’re still curious or stuck in this question or have any doubts regarding my explanation, answer or this question — always let me know through comments!

Answer:

In mathematics, the additive inverse of a number a is the number that, when added to a yields zero. Just remember this number is also known as the opposite sign.

Hope this helps :)!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer:

99°

Explanation:

given:

m∠2 = 55°

solve:

m∠1 +  m∠2 = ∠KJL

m∠1 = ∠KJL - m∠2

m∠1 = 154° - 55°

m∠1 = 99°

Answer:

m∠1 = 99°

Step-by-step explanation:

   m∠1 + m∠2 = m∠KJL

⇒ m∠1 + 55 = 154

⇒ m∠1 = 154 - 55

⇒ m∠1 = 99°

The 90% confidence interval for the mean is given as follows:

\(5.8 < \mu < 7.8\)

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the following rule:

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

In which the variables of the equation are presented as follows:

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 41 - 1 = 40 df, is t = 1.6839.

The parameters are given as follows:

\(\overline{x} = 6.8, s = 3.7, n = 41\)

The lower bound of the interval is given as follows:

6.8 - 1.6839 x 3.7/sqrt(41) = 5.8.

The upper bound of the interval is given as follows:

6.8 + 1.6839 x 3.7/sqrt(41) = 7.8.

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A.

1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.

2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.

3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.

4. Mode: No mode. Median: 17. Mean: 18. Range: 28.

5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.

6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.

B.

7. Mode: 4.3. Median: 4.2. Range: 2.1.

8. Mode: 18.6. Median: 18.6. Range: 0.8.

C.

9. Mode: No mode. Median: 4/9.

10. Mode: No mode. Median: 5/24.

The fraction of the area of the tray occupied by the blondies is 1/9.

To find the fraction of the area of the tray occupied by blondies, we need to determine the area occupied by the blondies and compare it to the total area of the tray.

Let's calculate the area of each individual blondie:

The blondies are squares with 3-inch sides, so the area of each blondie is 3 inches × 3 inches = 9 square inches.

Now, let's calculate the area occupied by the blondies in each row:

Since there are 4 rows of blondies and each row contains 4 blondies, the total number of blondies is 4 rows × 4 blondies per row = 16 blondies.

So, the total area occupied by the blondies is 16 blondies × 9 square inches per blondie = 144 square inches.

Next, let's determine the area occupied by the brownies:

The brownies are squares with 6-inch sides, so the area of each brownie is 6 inches × 6 inches = 36 square inches.

Since there are also 4 rows of brownies and each row contains 4 brownies, the total number of brownies is 4 rows × 4 brownies per row = 16 brownies.

Therefore, the total area occupied by the brownies is 16 brownies × 36 square inches per brownie = 576 square inches.

Now, let's calculate the total area of the tray:

Given that the tray is completely full and has an area of 648 square inches, we can subtract the area occupied by the brownies from the total area to find the remaining area occupied by the blondies:

Total area of the tray - Area occupied by the brownies = Area occupied by the blondies

648 square inches - 576 square inches = 72 square inches.

So, the fraction of the area of the tray occupied by the blondies is:

Area occupied by the blondies / Total area of the tray = 72 square inches / 648 square inches.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 72 in this case:

72 square inches / 648 square inches = 1/9.

Therefore, the blondies' percentage of the tray's surface area is 1/9.

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The length of one side of the equilateral triangle in terms of x is 6x.

To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.

The perimeter of a rectangle is given by the formula:

Perimeter of rectangle = 2(length + width)

In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:

Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x

We are told that the equilateral triangle has the same perimeter as the rectangle.

Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.

Therefore, we have:

Perimeter of equilateral triangle = 3(side length)

Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:

3(side length) = 18x

Dividing both sides of the equation by 3, we get:

side length = 6x

Hence, the length of one side of the equilateral triangle in terms of x is 6x.

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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?

9514 1404 393

Answer:

  about 1.4288993 radians

Step-by-step explanation:

The angle to terminal arm A is ...

  ∠A = arctan((-4/5)/(-3/5)) ≈ 4.0688879 radians

The angle to terminal arm B is ...

  ∠B = arctan((-1/√2)/(1/√2)) ≈ 5.4977871 radians

Then the angle between the arms is ...

  5.4977871 -4.0688879 ≈ 1.4288993 . . . radians

The circumference of the wheel of the bike given the diameter is 84.78 inches

As evident from the task content; it is required that the circumference of the bike's wheel be determined.

Given that the Diameter of the wheel = 27 inches

Recall; Radius = diameter / 2

= 27/2

= 13.5 inches

π = 3.14

Since the formula for the Circumference of the wheel which is circular = 2πr

= 2 × 3.14 × 13.5

= 84.78 inches

In conclusion, the circumference of the wheel according to the given description is 84.78 inches.

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you can try going on the website and making an acc instead

Answer: try liking or rating the post sometimes i get answers that way

Step-by-step explanation:

The vertical displacement is of 2 units down, the correct option is B.

Remember that for a function f(x), a vertical displacement of N units is written in general form as:

g(x) = f(x) + N

If N > 0, the translation is upwards.

if N < 0, the translation is downwards.

Here we assume that we start with the parent cosine function:

y = cos(x)

And the transformed function is:

y = -2 - cos(x - π)

So we have some transformations, but the vertical translation is of 2 units down. So the correct option is B.

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