Two planes, which are 2920 miles apart, fly toward each other. Their speeds differ by 80mph. If they pass each other in 4 hours, what is the speed of each?

Answer:

D) -7

Step-by-step explanation:

\( \because \: PQ + QR = PR \\ \therefore \: 2x + 17 + 12 = 22 + x \\ \therefore \: 2x + 29 = 22 + x \\ \therefore \: 2x - x = 22 - 29 \\ \therefore \: x = - 7 \\ \)

Applying the Pythagorean theorem, the value of c is 6.0.

A Pythagorean theorem is a principle that can be used to determine the unknown side of a given right triangle when the values of its other two sides are given. Pythagorean theorem states:

\(Hyp^{2}\) = \(Adj^{2} + Opp^{2}\)

So that from the given question, applying the Pythagorean theorem;

\(c^{2}\) = \(a^{2} + b^{2}\) - 2abCos θ

But, a = 2.15  and b = 5.61

So that;

\(c^{2}\) = \(2.15^{2}\) + \(5.16^{2}\)

      = 4.6225 + 31.472

\(c^{2}\) = 36.0946
c = \(\sqrt{36.0946}\)

 = 6.0079

c = 6.0

The value of c is 6.0.

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There is a strong, positive relationship between the number of steps taken and the kilometers walked per day.

There is a strong, positive relationship between the Temperature of a rubber band and distance the rubber band can stretch.

There is a strong, negative relationship between the car weight and distance traveled using a full tank of gas.

There is a strong, positive relationship between the average fat intake per citizen of a country and average cancer rate of a country.

There is a weak positive relationship between the score on science exam and number of words written on the essay question.

There is a weak, negative relationship between the average time spent listening to music per day and average time spent watching TV

per day.

Correlation is a statistical measure used to measure the linear relationship that exists between two variables. The closer the correlation coefficient is closer to one, the stronger the linear relationship that exists between the two variables.

A positive correlation occurs when the two variables move in the same direction. When there is a positive correlation, the graph of the variables is upward sloping

A negative correlation occurs when two variables move in different direction. If one variable increases, the other variable decreases. When there is a negative correlation, the graph of the variables is downward sloping

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The number of short sleeves that Maria sold is 819.

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them.

In this case, Maria’s clothing store sold 1547 shirts with the ratio of short sleeve to long sleeve shirt being 9:8.

The number of short sleeves will be:

= Ratio for short sleeve / Total ratio × Total number of clothes

= 9 / (8 + 9) × 1547

= 9/17 × 1547

= 819

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Answer:

======================

The given function f(x) = x² - 2x + 1 can be transformed into the function g(x) as follows, g(x) is obtained by:

So the rule for g(x) can be obtained by performing these operations on the rule for f(x).

Reflection in the y-axis can be achieved by replacing x with -x in f(x).

This gives:

Next, we need to vertically stretch the graph by a factor of 3. To achieve this, we can multiply f(-x) by 3.

This gives:

Finally, we need to translate the stretched graph 2 units to the left.

To achieve this, we can replace x with (x + 2) in 3f(-x).

This gives:

Simplifying this expression, we get:

Therefore, the rule for g is g(x) = 3x² + 18x + 27.

The 95% confidence interval for the proportion of all American adults who support same-sex marriage is

approximately (0.349, 0.4).

Calculate the sample proportion (p) by dividing the number of respondents who support same-sex marriage (505) by

the total number of respondents (1348): p = 505/1348 ≈ 0.3746.

Calculate the standard error (SE) of the sample proportion using the formula:

SE = \(sqrt[(p × (1-p))/n]\)

    = \(sqrt[(0.3746 × (10.3746))/1348]\)

    ≈ 0.0130.

Find the critical value (z) for a 95% confidence interval. For a 95% confidence interval, the critical value is

approximately 1.96.

Calculate the margin of error (ME) using the formula:

ME = z × SE = 1.96 × 0.0130 ≈ 0.0254.

Find the lower and upper limits of the 95% confidence interval by subtracting and adding the margin of error from the

sample proportion, respectively:

- Lower limit: 0.3746 - 0.0254 ≈ 0.3492

- Upper limit: 0.3746 + 0.0254 ≈ 0.4000

Therefore, the 95% confidence interval for the proportion of all American adults who support same-sex marriage is

approximately (0.349, 0.4).

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Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts

Step-by-step explanation:

hello

This question is from statistics and we can difine an outliner as a data point that is different from the other set of data observed. It usually occurs due to

Answer:

x= 0, -1.8

Simplify then isolate the variable.

The mass of the cubic cuboid is 1.479 kilograms.

Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:

m = ρ · V

Where V is the volume of cuboid, in cubic meters.

And the volume of cuboid is:

V = w · h · l

Where:

Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.

First, calculate the volume of the cuboid:

V = (0.05 m) · (0.03 m) · (0.10 m)

V = 1.5 × 10⁻⁴ m³

Second, determine the mass of the cuboid:

m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)

m = 1.479 kg

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Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.

To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:

1. Write the second row of Pascal's triangle: 1, 1.

2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.

3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.

4. Apply the difference quotient formula: f(x + h) - f(x) / h.

5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.

6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.

7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.

8. Divide both terms in the numerator by h: 2x + h.

9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.

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Answer:

Hello! After reading your question I have deduced that the correct answer is 288² cm.

Step-by-step explanation:

The way I came to this conclusion was as follows:

Firstly:

If said rectangle is two squares put side by side (adjacent), then a valid assumption is that both squares are the same size.

This is because all four sides of a square have to be equal.

Thus if the two squares are joined together on one side, then all the other sides of both the squares will be the same length.

Thus both of the squares are going to be the same size, so they will have the same area.

Secondly:

If the area of one square is 144² cm then the area of the other square should also be 144² cm.

Thus if you combine the areas of both the squares, that make up the rectangle, you are left with the area of the rectangle being 288² cm.

I hope this helped!

Answer:c

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

integers are any whole real, whole number, no matter if it's negative or positive. in this case, Time GAINED pounds, so it would make it a positive number.

now, if you were LOSING 15 pounds, it would be -15.

Answer:

13.825, 13, -13 25/40

Answer:

13.825, 13, and -13 25/40

Step-by-step explanation:

Hope this helps :)

The formula for Rate is given below as,

If David reads 40 pages of a book in 60 minutes, the rate will be,

If the rate is constant (i.e he reads at a constant rate), the number of pages he should be able to read in 90 mins will be,

Hence, he should be able to read 60 pages if he reads at a constant rate.

Step-by-step explanation:

Q1.

1. 3×1+2=5

=5/3

2. 3×5+3=18

=18/5

3. 8×4+3=35

=35/4

4. 12×3+2=38

=38/3

5. 10×7+2=72

=72/7

Q2.

1. 1/7 = 7/1 = 7

2. 8/3 = 3/8

3. 9 = 1/9

4. 4 1/3 = 4×3+1 = 13 = 13/3 = 3/13

5.14 2/3 = 14×3+2 = 44 = 44/3 = 3/44

Hope this helps you

Answer:

For A)

when you go from mixed number to improper fraction all you have to do is multiply the denominator (bottom number) with the whole number (the big number on the left) then finally add the numerator (on the top). After you get the answer just write the answer divided the denominator (answer/denominator) to write as improper fraction. Examples is shown below.

For B) all you have to do is switch the fraction. If it a whole number then just assume that it is divided by 1, and for mixed fraction just solve it like A then switch the fraction. Examples shown below.

Step-by-step explanation:

For A)

1. 1 (2/3) -> multiply 3 with 1 then add the 2. So, (3 x 1) +2 = 5 then write as improper fraction which is 5/3

2. 3 (3/5) -> (5 x 3) + 3 = 18 -> 18/3

and so on...

For B)

1. 3/7 -> 7/3

3. 9 which is 9/1 -> 1/9

5. 14 (1/3) -> (3 x 14) + 1 = 43 -> 43/3 -> 3/34

Meandering streams tend to form where the stream gradient is low, usually further downstream.

Meanders' outside edges are eroded by a stream, while its interior bends are covered in sand and gravel from point bars. Near the outer curve, where the stream erodes at the outside banks, the velocity and channel depths are both at their highest. On the inside of the meander, where the water moves more slowly, silt is simultaneously eroded and deposited, forming a point bar. Because a meander's outer bank erodes and silt is dumped on the inside of the bend's outside bank. As a result, the meandering streams in this terrain alternately produce cut banks and point bars.

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Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.

Step-by-step explanation:

Four less than the product of a number (x) and 5 = 5x - 4

8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10

Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10

                                                         5x - 3x = 10 + 4

                                                         2x = 14

                                                         x = 14/2

                 therefore,                      x = 7

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Answer:

solve 7+x-15=-2 2/3

Step-by-step explanation:

7+x-15=-2 2/3 -8+x=-8/3 x=-8/3+8 x=16/3 first question answer second question answer 5 1/3 5*3+1/3 15+1/3 16/3 3rd questiin answer 10 2/3 10*3+2/3 30+2/3 32/3 solve by this method another question

Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:

Course fees for continuing legal education: $1,400

Airfare and hotel room: $500

Meals provided by the hotel's restaurant: $300

Snacks from the newsstand: $10

To calculate the total amount that Bob can deduct, add up these expenses:

$1,400 + $500 + $300 + $10 = $2,210

Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.

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Answer:

Second leg = 15

Step-by-step explanation:

From my understanding, you are supposed to find the second leg of the right triangle by Pythagoras theorem.

Hypotenuse: 25

One leg: 20

Second leg: x

Pythagoras theorem: hypotenuse² = adjacent² + opposite²

c² = a² + b²

25² = 20² + b²

b² = 25² - 20²

b² = 625 - 400

b² = 225

b = √225

b = 15

Therefore, the second leg of the right triangle is 15.

Answer:

+2.718

Step-by-step explanation:

from the question,

the sample size is 12

therefore the degree of freedom,

df = 12 - 1

= 11

alpha = 1 - 0.98

= 0.02

this is because the confidence level is 98%

under the t distribution table, a degree of freedom of 11 and 0.02 alpha level = 2.718

the critical value t* = 2.718

I hope this helps!

Answer:

C

Step-by-step explanation:

1+3=4

4+3=7

7+3=10

Wheras if you try to multiply by 4 it works on the first one, but 4×4=16 not 7. If you add 10 to 1 you get 11, which is not the next number. And if you subtract 1-3=-2, which is on the wrong side of 0.

Answer:

300000

Step-by-step explanation:

hope this helps

Answer:

(2, 4)

Step-by-step explanation:

Given the system of equations

y=3×-2.... 1

y-2=×​ ... 2

Substitute 2 into 1

y = 3(y-2) - 2

y = 3y - 6 - 2

y - 3y =-6-2

-2y = -8

y = -8/-2

y = 4

Recall that

x = y - 2

x = 4-2

x = 2

Hence the solution (x, y) is (2,4)