A plane traveled 3465 miles with the wind in 5.5 hours and 3245 miles against the wind in the same amount of time. Find the speed of the plane in still air and the speed of the wind.

The speed of the plane in still air is
The speed of the wind is

Answer:

20

Step-by-step explanation:

Slope = (y2-y1)/(x2-x1)

Choose any two points on the line. For this, I will use (0, 5) and (1, 25):

[tex]\frac{25-5}{1-0}=\frac{20}{1} = 20[/tex]

Answer:

the answer is B

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

n=number

-5=n/6 - 8

-5*6=6(n/6 - 8)

-30=n - 48

48-30=n-48+48

n=18

The inequalities in interval notation are given below

What is an inequality?

An inequality in maths is a relationship that makes a non-equal distinction between two values as well as other mathematical expressions. It is most frequently used to compare the sizes of two digits on a number line. There are multiple formulae used to denote various types of inequalities:
(i) The symbol a < b indicates that a is less than b.

(ii) a > b indicates that a is bigger than b.

In either scenario, a and b are not equivalent. These are characterized as tight inequalities because a is either strictly less than or strictly bigger than b. Equivalence is not permitted. In contrary to rigorous inequalities, there are two forms of non-strict inequality relationships.

The inequalities in interval notation are given below:

(a) (0, 11)

(b) (9, 4]

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Answer:

A

Step-by-step explanation:

i just did this one

The weakness of plotting a scatterplot is given below

What is a scatterplot?

A scatterplot (also known as a scatter plot, scatter graph, scatter chart, scattergram, or scatter diagram) is a form of plot or mathematical diagram that uses Cartesian coordinates to represent values for a collection of data for generally two variables. One more variable can be presented if the points are coded (color/shape/size). The data is represented as a collection of dots, with the value of one variable defining the horizontal axis and the value of the other variable determining the vertical axis. A scatterplot can be used when one continuous variable is within the experimenter's control and the other is reliant on it, or when both continuous variables are independent.

The weakness of plotting a scatterplot is:

(A) This provides no indication of whether there is cause and effect relationship.

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Answer:

3 yards, 2 feet

Step-by-step explanation:

Convert the measurement as indicated. 11 ft=_yd_ft

There are 3 feet in a yard so 3 yards (equal to 9 feet) and a remainder of 2 feet equal 11 feet so:

11 feet = 3 yards, 2 feet

The linear function passing through points (1,7) and (2.5, 1) is given by:

y = -4x + 11.

A linear function, in slope-intercept format, is modeled according to the rule presented below:

y = mx + b

In which the coefficients are described as follows:

For this problem, the two points that form the function are given as follows:

(1,7) and (2.5, 1).

The slope is given by change in y divided by change in x, hence it is given by:

m = (1 - 7)/(2.5 - 1) = -4.

Then:

y = -4x + b.

When x = 1, y = 7, hence we can find the intercept b of the function as follows:

7 = -4(1) + b

b = 7 + 4

b = 11.

Hence the equation is:

y = -4x + 11.

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The required result of the given inequality is n≤-3 or n>8.

What is inequality?

Inequality is a relationship between two different quantities or expressions. An inequality may be expressed by a mathematical sentence that uses the following symbols:

< is less than

> is greater than

≤ is less than or equal to

≥ is greater than or equal to

≠ is not equal to

Given, -6n≥18 or n+10>18

-n≤18/6 or n>18-10

n≥-3or n>8

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-6 is the value of X

The question can be answered by simply following the rules of angles of geometry. The rule that follows here is:

Rule: Vertically opposite angles are equal i.e whenever two straight lines cross, they create two pairs of equal vertically opposite angles.

Because, both the angles given in the question are vertically opposite to each other

Therefore, angle 80 degree = angle 86 + X

i.e   80 = 86 + X

-->   80 - 86 = X

-->   -6 = X

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Given

Answer

Let the side of square be s

s = 10 ft

The estimation technique that will yield a solution that is closest to the actual product of (–21.06) (–30.45) is: rounding to the nearest tenth.

Given data  or information :

Actual Product  =  ( – 21.06) (– 30.45)

Now let estimate the product by approximating the product to the nearest tenth.

Approximation :

So,

- 21.06 = - 21.1 ( Approximately )

- 30.45= - 30.5 ( Approximately )

Hence , her estimate can be calculated as :

Estimate :

Estimate =  ( - 21.1) (-30.5)

Estimate = - 643.55

Therefore the estimation technique that will yield a solution that is closest to the actual product of (–21.06) (–30.45) is: rounding to the nearest tenth.

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The complete question is:

Which estimation technique will yield a solution that is closest to the actual product of (–21.06)(–30.45

front-end estimation

rounding to the nearest tenth

rounding to the nearest whole number

compatible numbers

Answer:

Positive Slope, the graph interprets how much it costs to rent a canol per hour.

Step-by-step explanation:

Using the comparison test, we have that [tex]\frac{2}{\sqrt[3]{n}}[/tex] is divergent, as the given sequence [tex]a_n = \frac{1}{n}[/tex] is divergent and [tex]\frac{1}{n} \leq \frac{2}{\sqrt[3]{n}}[/tex] for all values of n ≥ 1.

Suppose that we have two series, defined by [tex]\sum a_n[/tex] and [tex]\sum b_n[/tex], considering that [tex]a_n, b_n \geq 0[/tex] for all n and [tex]a_n \leq b_n[/tex] for all n, then:

For this problem, the sequences are given as follows:

[tex]a_n = \frac{1}{n}, b_n = \frac{2}{\sqrt[3]{n}}[/tex]

Then we have to compare when one of the sequences is greater than another, as we do from the graph at the end of the answer.

From the graph, we have that [tex]\frac{1}{n} \leq \frac{2}{\sqrt[3]{n}}[/tex] for all values of n ≥ 1, and since [tex]\frac{1}{n}[/tex] is divergent, as stated in the problem, then [tex]\frac{2}{\sqrt[3]{n}}[/tex] is also divergent.

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Answer:

am pretty sure am correct i hope it helps you

From the given data-set, we have that:

To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.

To find the correlation coefficient, we find the same strategy, inserting these points into a calculator of correlation coefficients.

From the data, the points are given as follows:

(3, 7), (4, 8), (5, 10).

Hence the correlation coefficient is of:

r = 0.982.

The line of best-fit is given by:

y = 1.5x + 2.33.

Which has a slope of 1.5 and an intercept of 2.33.

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The correct value of the equation that's illustrated will be x² + 14x + 55= (x + 7)² + 6

It should be noted that an equation can be used in order to show the relationship between the variables.

It should be noted that (x + 7)² will be:

= (x + 7)(x + 7)

= x² + 7x + 7x + 49

= x² + 14x + 49

Therefore, x² 14x + 55 - (x² + 14x + 49) = 6

In conclusion, the answer in the box is 6.

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Given:

Number line is given.

D is point locateed in 2.6 on the number line.

D is in 2.6

The correct answer for the limit expression is √2 (π/4)(π - 5).

What is limit?

In mathematics, the value of the limit of a function always approaches as input and finally it approach to some value. It is used for the calculation of the continuity function, derivatives or calculus.

According to the question, the value of the variable 'x' should be substituted in the limit expression.

Now, the required expression will be:

[tex]\lim_{x \to \\pi /4} (secx)(4x^{2} -5x) = sec(\pi/4)(4(\pi /4)^{2} -5(\pi /4))[/tex]

Now, the value of the sec(pi/4) is √2

⇒ √2((π²/4)-5(π/4)) = √2 (π/4)(π - 5)

Hence, the correct answer for the limit expression is √2 (π/4)(π - 5).

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Given

Since they are similar

Then multiply

The final answer

Answer:

Step-by-step explanation:

-4x-2y=-6

-2y=-6+4x

divide by -2

y=3-2x

y=-2x+3

Answer: 37.2

Step-by-step explanation:

The circumference of the bike is [tex]0.3\pi \approx 0.3(3.14)=0.942[/tex] m.

Dividing this by the 35 m traveled, we get the bike turned [tex]\frac{35}{0.942} \approx 37.2[/tex]

Pedro went to bed and slept 14 hours, when he woke up next day it was 10 am, it means he went to sleep 14 hours before 10am, it means he went to sleep at 8 pm

Given

To obtain the minimum value of y, we first take the derivative of y

The derivative of y is:

Equating

gives the minimum value we require.

Doing that, we have:

So that

Therefore, the minimum value is x = 3

The radius, area, and circumference of the given bicycle wheels are:

So, the Diameter of the bicycle wheel = is 22 inches

Circumference of a bicycle wheel:

Area of bicycle wheel = πr²

Therefore, the radius, area, and circumference of the given bicycle wheels are:

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Answer:

168 meters

Step-by-step explanation:

If each pole is 3 meters apart and there are 56 poles, you will need to multiply 56 x 3 and that will give you how many meters the first pole is from the last pole

Hope this helps

Answer:

(w-12)(w+12)

Step-by-step explanation:

Using the identity

a^2-b^2=(a-b)(a+b)

now,

w^2-144=(w)^2-(12)^2=(w-12)(w+12)

Given point :

(-3, -2)

When the rotation is about 180 degree about the origin then a point M(h, k)

will become M'(-h, -k)

So, the point (-3, -2) will become (-(-3), -(-2)) that is (3, 2)

Answer : Option (B)

Given,

The measurements of interior angles of a triangle are given:

60°, 65° and 55°

We have to find the corresponding exterior angles:

We know that exterior and interior angles are supplementary.

That is, the sum of the exterior and interior angle is 180°

So here,

180° - 60° = 120°

180° - 65° = 115°

180° - 55° = 125°

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So,

We can identify that the function is increasing when it goes up.

In this graph, we can notice that the graph goes up in the intervals:

If we factor out -6 from the given expression, then we get the answer as -6(-3z + 5/2).

A factor may be defined as a number of another number which when divided by the other number leaves no remainder or it completely divides the other number. For example, 2 is a factor of 4 as when 4 is divided by 2 the remainder is zero. Now, we are given in the question that we need to factor -6 out of 18z - 15. In order to do that we divide and multiply -6 from the given expression. This can be represented as

-6 × (18z - 15)/(-6)

Further we get

-6 × (-3z + 15/6)

-6 × (-3z + 5/2)

which is the required value.

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