it takes an airplane 1 hour 30 minutes to fly 600 km against the wind. the return trip with the wind takes only 1 hour. find the total flying time for the round trip if there was no wind.

Answer:

24 and 41 inches.

Step-by-step explanation:

Let the lengths of the two pieces be a and b.

The total length of the two-piece should be the length of the original board.

Therefore:

a + b = 65

One piece, say b, is 7 inches shorter than twice the length of the other, a.

Therefore, we can write the following equation:

b = 2a - 7

The “2a” represents the twice, and the “-7” represents the 7 shorter inches.

We now have a system of equations:

a + b = 65

b = 2a - 7

We can solve using substitution. Substitute the second equation with the first. Hence:

a + (2a - 7) = 65

Combine like terms:

3a - 7 = 65

Add 7 to both sides:

3a = 72

Divide both sides by 3:

a = 24

So, the shorter piece is 24 inches.

Then, we can use our second equation again:

b = 2a - 7

Since we now know a substitute 24 for a and evaluate. Hence:

b = 2(24) - 7

  = 48 - 7

  = 41

Therefore, the length of the other two pieces is 24 and 41 inches.

The radius of the basket ball having volume 452.1 cubic inches is 4.76 inches.

What is the volume?

Volume is the 3 dimentional occupied space by any object. It is measured in SI units [tex]\textnormal{m}^3[/tex] and other derived units like [tex]\textnormal{in}^3[/tex].

All properties of a spherical shape is defined by its radius. The shape of a basketball is spherical hence, the formula of the volume is given by the followin expression:

[tex]V=\frac{4}{3}\pi r^3[/tex]

Here, V is the volume of the basket ball and r is the radius of the basket ball.

Rearrange the above equation for [tex]r[/tex].

[tex]3V=4\pi r^3\\\frac{3V}{4\pi}= r^3[/tex]

[tex]r=[\frac{3V}{4\pi}]^{1/3}[/tex]

Substitute values.

[tex]V=[\frac{3(452.1 \ \textnormal{cubic inches})}{4\pi}]^{1/3}\\=4.76 \ \text{inches}[/tex]

Hence, the radius of the basket ball is 4.76 inches.

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Answer:

[tex]10\sqrt{2}[/tex]

Step-by-step explanation:

To simplify a square root you have to find any perfect square numbers.

(ex. 4, 9, 16, 25 ...)

[tex]\sqrt{8} = \sqrt{2*4} = \sqrt{2} * \sqrt{4}[/tex]

Simplify:

[tex]\sqrt{4} = 2[/tex]

[tex]2 \times \sqrt{2}\\ = 2\sqrt{2}[/tex]

Don't forget to multiply the 5, so:

[tex]5 \times 2\sqrt{2}\\ = 10\sqrt{2}[/tex]

The equation 3 + 4 = 7 and 4 + 3 = 7, shows the existence of Commutative Property of Addition.

What are Properties of Addition?

The properties of addition are the rules we can follow while adding numbers. Using these properties can make the calculation more straightforward and helps to solve complex problems in Math.

Solution:

Using Commutative Property of Addition the above mentioned equation can be solved.

Commutative Property of Addition - When we add two or more numbers, their sum is the same regardless of the order of the addends. We can write this property in the form of A + B = B + A.

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Step-by-step explanation:

I gone through your work and I don't see anything wrong.

Try reaching out to your teacher.

Answer:

You answered every question correctly. All ten of them. The program you are using has some issues. lol

Step-by-step explanation:

The slope of the line is -1

First we have to choose two points

The coordinates of the first point = (9, 1)

The coordinates of the second point = (8, 2)

The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line.

The slope of the line m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where m is the slope of the line

[tex](x_1,y_1)[/tex] is the coordinates of the first point

[tex](x_2,y_2)[/tex] is the coordinates of the second point

Substitute the values in the equation

The slope of the line = (2-1) / (8-9)

= 1 / -1

= -1

Hence, the slope of the line is -1

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The effect that sample size on the mean of the sampling distribution has is that it effects the variations .

In the question ,

If the sample size is increased ,

which means if the number of sample is increased then the errors in the sampling distribution becomes very less .

and if the sample size is decreased then it leads to the increase in the error  of the distribution .

The formula for the relationship between variation and sample size is given by ,

σx = σ / sqrt (n)

we can see that the variation and sample size are inversely proportional .

Which means that increase in the sample size results in a reduction of variation.

Therefore , The effect that sample size on the mean of the sampling distribution has is that it effects the variations .

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Answer:

Find the angle measurement like a 90 degree angle or something for both of them and then find the solution following it. If you need further help post the question with the name where these questions are posted!

PLEASE GIVE BRAINLIEST THANK YOU!!!

Answer:

first, by using inverse operations subtract 10 on both sides.

4-10 is -6. whys the 6 negative? because the number takes the sign of the bigge number.

Divide by 2 to isolate x

In multiplication and division one negative sign stays and 2 negative signs cancel eachother but here theres only one negative sign so;

~~~~~~~~~~~~~~~~

Answer: 60,30,180, and 37

Step-by-step explanation:

Yes line TV is also parallel to line QS according to transverse property

According to the transitive property, all the quantities are equal to each other if two quantities are equal to the third quantity.

When the term equal is replace by parallel it suits the case at hand hence transitive property of parallel lines is introduced

When attempting to demonstrate that several parallel lines have congruent properties, the transitive property of parallel lines can be used to create a link between numerous equal quantities.

Therefore, it can be interpreted as: if line TV || line ZX and line ZX || line QS then line TV || line ZX

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Answer:36,37,38,39 one of the those or between

Step-by-step explanation:

Answer:a polygon cannot have 7.2 sides

Step-by-step explanation:

each exterior angle of a regular polygon with n sides is equal and these angles add up to 360∘ . a polygon cannot have 7.2 sides. since , the exterior angle of a regular polygon cannot be 50∘

The inverse function of the given is [tex]y^-1[/tex]= [tex]\frac{x}{2}[/tex]-4 .

What is inverse function?

The domain of the original function becomes the range of the inverse function, and the range of the given function becomes the domain of the inverse function. The inverse function is denoted by the notation f-1 in relation to the original function f. Swapping (x, y) with (y, x) with reference to the line y = x yields the graph of the inverse function. Only when f is both a one-one and an onto function does it have an inverse, indicated by the symbol f-1. Keep in mind that f-1 is NOT f's inverse. The domain value of x is given by combining the function f and the reciprocal function f-1.

Here the given function is,

=> y = 2x+8

Now interchange x and y then

=> x=2y+8

Now simplify the expression with respect to y then,

=> x-8=2y

=> y = [tex]\frac{x}{2}[/tex]-4

=>[tex]y^-1[/tex]= [tex]\frac{x}{2}[/tex]-4

Hence inverse function is [tex]y^-1[/tex]= [tex]\frac{x}{2}[/tex]-4 .

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Using the concepts of  probability, we got that an experiment may have d) several events

Event is called one or more outcomes of an experiment. Example of this is -rolling a dice, we get a possible outcomes as {1,2,3,4,5,6}.

In an experiment there can be one outcome, two outcomes, more than two outcomes or several outcomes.

An event is the collection of one or more of the outcomes of an experiment. An event that actually includes one and only one of the (final) outcomes for an experiment is called the simple event and is denoted by Ei.

Hence, an experiment may have d)several events

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Answer:

18x - 72 = 20

Step-by-step explanation:

[tex] \rm \implies \dfrac{3}{4} x - 3 = \dfrac{5}{6} \\ \\ \rm \implies \dfrac{3}{4} x - 3 \times \frac{4}{4} = \dfrac{5}{6} \\ \\ \rm \implies\dfrac{3}{4} x - \frac{12}{4} = \dfrac{5}{6} \\ \\ \rm \implies \frac{3x - 12}{4} = \frac{5}{6} \\ \\ \rm \implies \frac{3x - 12}{ \cancel{4}} \times \cancel{4} = \frac{5}{6} \times 4 \\ \\ \rm \implies 3x - 12 = \frac{20}{6} \\ \\ \rm \implies (3x - 12) \times 6 = \frac{20}{ \cancel{6}} \times \cancel{6} \\ \\ \rm \implies 18x - 72 = 20 [/tex]

The circumference of the circle in feet is 10π feet.

According to the question,

We have the following information:

Area of the circle = 25π square feet

We know that the following formula is used to find the area of circle:

π[tex]r^{2}[/tex] where r is the radius of the circle

π[tex]r^{2}[/tex] = 25π

Dividing by π on both the sides:

[tex]r^{2}[/tex] = 25

r = 5 feet ...(1)

We know that the following formula is used to find the circumference of circle:

2πr

Putting the value of r from equation 1:

2π*5

10π feet

Hence, the circumference of the circle in feet is 10π feet.

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(7-4i)√2/7 is the simplified form of (4-i√2)/(4+i√2)

a complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit

The given expression is

(4-i√2)/(4+i√2)

Now we have to rationalize the above expression

((4-i√2)/(4+i√2))×((4-i√2)/(4-i√2))

(4-i√2)(4-i√2)/(4+i√2)(4-i√2)

16-4i√2-4i√2-2/16-2

16-8i√2-2/14

14-8i√2/14

2(7-4i√2)/2(7)

(7-4i)√2/7

Hence (7-4i)√2/7 is the simplified form of (4-i√2)/(4+i√2)

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Answer:

204 feet^2

Step-by-step explanation:

rectangle area = 18 * 10 = 180 feet^2

triangle width = 18 - 10 = 8 feet

triangle area = 6 * 8 /2 = 24 feet^2

total area = 180 + 24 = 204 feet^2

Answer: convergencnt

Step-by-step explanation:

Four friends go out to eat and their meal cost $86. 50. The sales tax 6. 75% and they should tip the waiter 20%.each person must pay $27.7 for their meal

Four friends go out to eat and $86.50 for their meals.

The sales tax is 6.75%, and the waiter is tipped 20%.

M = 86.5 * 10675 / 10000 = 92.34

92.34$, and the total amount of money that four friends will give, including waiter tip, is

T=92.35 * 120 / 100 = 110.80

and each person must give

110.8/4= $27.7

each person must pay $27.7

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The answer  r = 7, and the missing terms are -2, -14, -98, -686, -4802. in the Geometric progression.

What is Geometric progression?

A geometric progression, sometimes termed a geometric sequence in mathematics, is a series of non-zero numbers where each term following the first is obtained by multiplying the preceding one by a constant, non-zero value known as the common ratio. A geometric progression with the common ratio 3 is, for instance, the sequence 2, 6, 18, 54,... A geometric series having a common ratio of 1/2 is also 10, 5, 2.5, 1.25, etc.

By calculating the product of the values of a set of numbers, the Geometric Mean (GM) is the average value or mean that denotes the central tendency of the data. The average of the data set's numbers is defined by the mean. There are several distinct forms of means, including arithmetic mean (AM), geometric mean (GM), and harmonic mean (HM).

Here 1st term a = -2

4th term given is ar³= -686

r³= -686/-2

r=∛343

a) r=7

2nd term will be  -14

3rd term will be -98

5th term will be -4802

b) -2, -14, -98, -686, -4802.

Hence, r = 7, and the missing terms are -2, -14, -98, -686, -4802.

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Slope of line 1 is -4/3, slope of line 2 is 3/4, slope of line 3 is 3/4, and  Line 1 and Line 2 are perpendicular, Line 1 and Line 3 are also perpendicular, Line 2 and Line 3 are parallel.

What is slope of a line?

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line. Finding the slope between two separate points and calculating the slope of a line are related tasks. In general, we require the values of any two separate coordinates on a line in order to determine its slope.

Slope of a line can be calculated using the formula:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Here, m = slope and (x1, y1), (x2, y2) are two points on the line,

Calculating the slope of line 1 whose points are (-3, 8), (0, 4)

[tex]m = \frac{4 - 8}{0 - (-3)}[/tex]

m = -4/3

Calculating the slope of line 2 whose points are (4, 4), (-4, -2)

[tex]m = \frac{-2 - 4}{ -4 - 4}[/tex]

m = 3/4

Calculating the slope of line 2 whose points are (4, 1), (8, 4)

[tex]m = \frac{4 - 1}{ 8 - 4}[/tex]

m = 3/4

Now we know that if lines are parallel that their slope is equal and when lines are perpendicular the product of their slope is -1,

Therefore, Line 1 and Line 2 are perpendicular, Line 1 and Line 3 are also perpendicular, Line 2 and Line 3 are parallel.

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The measures of those two angles are 35° and 50°.

It's important to note that the sum of angles on a quadrilateral is 360°. In this case, two angles of a quadrilateral measure 260° and 15º.

The remaining angles will be:

= 360° - (260° + 15°)

= 85°

Since the other two angles are in a ratio of 7:10, the measure will be:

= 7 / (7 + 10) × 85°

= 7/15 × 85°

= 35°

Also, 10/17 × 85°

= 50°

The angles are 35° and 50°.

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Answer:

x = -9

Step-by-step explanation:

Below:-

Answer:

x = -9

Step-by-step explanation:

Given equation,

→ x + (-9) = -18

Now the value of x will be,

→ x + (-9) = -18

→ x - 9 = -18

→ x = -18 + 9

→ [ x = -9 ]

Hence, the value of x is -9.

Answer:

F(-3)= 23

Step-by-step explanation:

F(-3)= 2(-3)^2 + 5

Answer:

Step-by-step explanation:

1. Find decrease.

If the car dealer bought the car for 100$ and only received 100$ for selling the car, he had 400$ in disadvantage!

2. Caculate Percent Loss:

400/ 500*100=

400/5=

80

There was a 80% decrease from the starting value!

Answer: 80% decrease!