An airplane is flying from New York City to Los Angeles. The distance it travels in miles d, is related to the time in seconds, t, by the equation d=0.15t. Do NOT include units with your answer.A. How fast is it flying in miles per second?B. How far will it travel in 30 seconds?C. How long will it take to go 12.75 miles?

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Translations

Just add or subtract an m value for all X coordinates as well as add or subtract an n value for all Y coordinates of the figure.

If the figure has 3 points (A, B and C), we would be left with:

A(X, Y) ; B(X₂; Y₂) ; C(X₃; Y₃)

A(X, Y) → A'(X ± m; Y ± n)

B(X₂; Y₂) → B'(X₂ ± m; Y₂ ± n)

C(X₃; Y₃) → C'(X₃ ± m; Y₃ ± n)

in our example - see attached figure - let

m = 4

n = - 1

(these values of m=4 and n=-1 were chosen by me arbitrarily)

A(1; 2) → A'(1 + 4; 2 - 1) ⇒ A'(5; 1)

B(2; 3) → B'(2 + 4; 3 - 1) ⇒ B'(6; 2)

--------------------------------------------------------------------------

Rotations

The expression (formula) for rotation will be:

P(X; Y) → P'(Xcos θ - Ysen θ; Xsen θ + Ycos θ)

Let rotate 90° (counter-clockwise): cos 90 = 0 and sen 90 = 1, then

in our example - see attached figure

A(1; 2) → A''(-2; 1)

B(2; 3) → B''(-3; 2)

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Answer:

t(s(2)) where s(x) = -x + 1, t(x) = -x^2 - 1 = -2

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

7/3= 3.5 or 3 1/2

Answer:

1.7 miles

Step-by-step explanation:

Pythagoras' Theorem sets the relation between three sides of a right-angled triangle. The distance between Raoul's home and the library is 1.3 miles.

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

|AC|² = |AB|² + |BC|²    

where |AB| = length of line segment AB. (AB and BC are the rest of the two sides of that triangle ABC, AC being the hypotenuse).

The school is located 0.5 miles east of Raoul's house. The library is located 1.2 miles south of the school. Therefore, the distance between the home and the library is the hypotenuse of the triangle formed.

AC² = AB² + BC²

AC² = 0.5² + 1.2²

AC = 1.3 miles

Hence, the distance between Raoul's home and the library is 1.3 miles.

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Answer:5 Hours

Step-by-step explanation:

160/4 = 40 miles per hour

200/40 = 5

Answer:

8 hours

Step-by-step explanation:

there are 360 miles total because it already covered 160 and there are 200 left.  160 / 4 = 4 hours per 40 miles.  200 is 40 more miles than 160.  This means that it is the 4 hours of 160 miles in that 200 + 4 more hours for 40 miles.  Add them together and you get 8 hours.

Answer:

There are 6hrs and 38 minutes between 8:15 am and 2:53 pm

Step-by-step explanation:

8:15 a.m- 9:15 am= 1 hr

9:15 am- 10:15 am= 1 hr

10:15 am-11:15 am=1 hr

11:15 am- 12:15 pm= 1 hr

12:15 pm- 1:15 pm= 1 hr

1:15 pm- 2:15 pm= 1hr

2:15 pm-2:53 pm= 53-15= 38 min

Answer:

81 pounds

Step-by-step explanation:

Given that:

Peanut per pound = $6.75

Cashew per pound = $9.50

Let

Number of cashews sold = x

Number of peanuts sold = x + 32

Total sales made = $1,012.25

(Number of caahew sold * cost of cahew) + (Number of peanut sold * cost of peanut) = total sales made

(x * 9.50) + [(x + 32) * 6.75)] = 1012.25

9.50x + 6.75x + 216 = 1012.25

16.25x = 796.25

x = 796.25 / 16.25

x = 49

Number of peanuts sold = x + 32 = 49 + 32 = 81

A segment addition problem with three points is: DE + EF = DF, which is 2x + 3x = 100. The solution is, x = 20.

Assuming point E is located between points D and F on a straight line, points D, E, and F are collinear, and based on the segment addition postulate, we have the equation that is true:

DE + EF = DF.

Let's assume that we have the following lengths:

DE = 2x

EF = 3x

DF = 100

Therefore, we would have the following:

2x + 3x = 100

5x = 100

5x/5 = 100/5

x = 20.

Therefore, a segment addition problem with three points is: DE + EF = DF, which is 2x + 3x = 100. The solution is, x = 20.

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Answer: 8.65*103

Step-by-step explanation:

Using scientific notation, it is found that the amount raised by the West, in dollars, is of:

[tex]8.65 \times 10^3[/tex]

A number in scientific notation is given by:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex].

Combined, the amount raised by the North, South and East is:

[tex]2.38 \times 10^4 + 6.75 \times 10^3 + 1.46 \times 10^4[/tex]

To add numbers, they need to have the same exponent, hence:

[tex]6.75 \times 10^3 = 0.675 \times 10^4[/tex]

To add the numbers, we add the bases and keep the exponents, hence:

[tex]2.38 \times 10^4 + 0.675 \times 10^4 + 1.46 \times 10^4 = 2.38 + 0.675 + 1.46 \times 10^4 = 4.515 \times 10^4[/tex]

The total amount is given in the problem, hence the amount raised by the West is:

[tex]5.38 \times 10^4 - 4.515 \times 10^4 = 0.865 \times 10^4 = 8.65 \times 10^3[/tex]

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Answer:

arc tan (angle) = 1,119 / 173

arc tan (angle) = 6.4682080925

angle = 81.212 Degrees

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Miguel started running, and he runs 1 mile in the first week, then the equation will be y = 2x + 1. Hence, option A is correct.

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given information in the question,

Miguel runs for 1 mile in the first week.

Then, his goal is to run 2 miles farther than his distance for the previous week.

Then the equation will be: y = 2x + 1

Here, y is the total distance and x is the number of miles.

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Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

To find the slope you can use the slope equation:

[tex]slope = \frac{y2 - y1}{x2 - x1}[/tex]

Let's define the terms in the equation:

y2 = 5

y1 = 7

x2 = 4

x1 = 8

Now, let's put these into the equation and solve:

[tex]slope = \frac{5 - 7}{4 - 8} = -\frac{2}{4} = -\frac{1}{2}[/tex]

Therefore, the slope is -1/2.

I hope this helps!!

- Kay :)

The conclusion that we now make about the result of adding a rational and an irrational number is that the sum of any rational number and any irrational number will always be an irrational number.

Irrational numbers cannot be stated as a fraction, although rational numbers can be expressed as ratios (such as P/Q and Q). However, both of the numbers are genuine and can be shown on a number line.

It should be noted that the conclusion that we now make about the result of adding a rational and an irrational number is that the sum of any rational number and any irrational number will always be an irrational number.

For example, we can conclude that ½+√2 is irrational.

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Answer:

the lowest amount mia can spend is $75

Step-by-step explanation:

3x12=36

12x3+15 this is for the noise makers

9 x 4= 36

15 x 4 = 60

60+15=75

she will spend 75 dollars on party suplies

The direct distance between Centerville and Capital City round to the nearest kilometer is 1,336 kilometers.

The distances between Centerville, Springfield, and Capital City form a right triangle in geography.

The distance between Centerville and Springfield is 913 kilometers, and the distance between Springfield and Capital City is 976 kilometers.

Let x be the direct distance between Centerville and Capital City using the formula

By Pythagorean theorem, we get

                                      913² + 976² = x²

                         833,569 + 952,576 = x²,

                                                      x² = 1786145

                                                       x = √1786145

                                                       x = 1336.46736

Hence, we get x = 1,336.46736 rounding to the nearest tenth is 1,336 kilometers.

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Answer:

17

Step-by-step explanation:

Answer:

b and m or known the y-intercept and slope

Step-by-step explanation:

you first place your point of y-intercept which is b in the equation its always got a x value of 0 paired with it.

then from there you place points using the m in the equation which is you rise over run for all your folling points on the graph.

hope that helps

Answer:

4.6538474e+15

Step-by-step explanation:

Answer: x= -12.5

Step-by-step explanation:

Start with distributing-5(x+4) or you get

x-5x-20=30

Add x and -5x to get -4x

Thank you add 20 to each side and get

-4x = 50

Divide by -4 on each side to get x=-12.5

Answer:

x=-25/2 is the answer.

Step-by-step explanation:

Below are the steps for solving the equation:

Step 1: Simplify, combine like terms, and distribute:

x−5(x+4)=30

x+(−5)(x)+(−5)(4)=30

x+−5x+−20=30

(x+−5x)+(−20)=30

−4x+−20=30

−4x−20=30

Add 20 to each side:

−4x−20+20=30+20

−4x=50

Divide each side by -4:

-4x/-4=50/-4

x=-25/2, which is -12.5 as a decimal.

So, your answer is x=-25/2 as a fraction, which is also -12.5 as a decimal.

Answer:

6 points of data, minimally.

Easiest if they are 3 points.

All data is going to be comprised of more than one unit of data itself.

For 3 points, we need 6 coordinates.

For 3 lines, we need 2 points each, and then 2 coordinates for each point.

Pretty much since any other way to describe it is relying on points, I would say 3 points, each comprised of 2 coordinates are necessary as a minimum.

Even an angle is defined from points. The angular distance between two lines relies on the two lines, which each relies on 2 points to describe, and each point is 2 coordinates.

So in a 2D space, the information required to make a figure is twice the number of vertices.

Assuming a pattern, in 3D space, a cube would be minimally determined as 8 vertices times the 3 coordinate requirements of each. 24 data points to minimally describe a cube.

“A figure can precisely and minimally be described by a number of data points equal to its vertices multiplied by the number of dimensions it exists in.”

Edit… A closed figure made only of straight line segments.

I'm sorry if it has any wrong ‍♀️

Two or more triangles are said to be congruent when they have equal length of sides, and measure of internal angles. The least amount of information required are:

Triangles are shapes that has three sides, and three internal angles which sum up to [tex]180^{o}[/tex].

The construction of a congruent triangle to any given one implies producing the replica of the given triangle. Thus both triangles would have the same length of sides, and measure of internal angles.

Some of the steps required in construction of a congruent triangle to a given one are:

1. Draw a line with a straight edge and mark a starting point.

2. copy one of the angles of the given triangle to the marked point on the line drawn.

3. Copy the length of sides of the triangle appropriately.

5. Copy the measures of other angles and length of sides to complete the congruent triangle.

Therefore, some of the least amount of information to be known for the construction are:

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Answer:

The answer is D.

Step-by-step explanation:

The difference between each term is 4.

-2 - (-6) = 4

2 - (-2) = 4

6 - 2 = 4

10 - 6 = 4

d. 4

here, -2-(-6)= -2+6=4

2-(-2)= 2+2=4

6- 2 = 4

10-6 = 4

so the common difference of them is 4.

Answer:

m=y8+2x

Step-by-step explanation: