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Complete question :

A parachutist's speed during a free fall reaches 162 kilometers per hour. What is this speed in meters per second? At this speed, how many meters will the parachutist fall during 20 seconds of free fall? Do not round your answers.

Answer:

45 m/s ; 900 meters

Step-by-step explanation:

Given that :

Speed = 162 kilometers per hour ;

The speed in meters per second can be found by:

162 km/hr = (162 * 1000)m / (60 * 60) second

162 km/hr = 162000m / 3600 s

162 km/hr = 45 m/s

At this speed, how many meters will the parachutist fall during 20 seconds of free fall?

Speed of free fall = 45m /s

Distance in meters after 20 seconds :

(45 m/s * 20s) = 900 meters

Answer:

i hope this helps you

7.4+(-2)

28-2

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Plug 4 in for y and -2 in for z giving you: 7(4)+(-2). 7*4=28 giving you 28+(-2). the portion +(-2) is the same as -2. This gives you 28-2 which is 26.

Answer:

2y + 4z = x

Step-by-step explanation:

Given

[tex]x = -4[/tex]

[tex]y = -8[/tex]

[tex]z = 3[/tex]

Required

Write an equation that which is true for the above parameters

This question will be answered using trial by error method and the solution is not limited to one equation.

One equation that matches the values above is:.

[tex]2y + 4z = x[/tex]

To check:

Substitute the values of x, y and z in the above equation.

[tex]2y + 4z = x[/tex]

[tex]2 * -8 + 4 * 3 = -4[/tex]

[tex]-16 + 12 = -4[/tex]

[tex]-4 = -4[/tex]

Hence,

Because both sides of the equation are one and the same (-4), [tex]2y + 4z = x[/tex] is true for the above values of x, y and z.

Answer:

x = 106°

Step-by-step explanation:

sum of interior opposite angles of a triangular is equal to a exterior angle

= x +22= 40 +88

= x = 128- 22

x = 106 °

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Answer:

379.94

Step-by-step explanation:

area of a circle is, pi times radius powered by 2, with this in mind-

r= 11, pi=3.14

3.14(11)^2

3.14(121)

=379.94

Answer:

Rs. 3923.08

Step-by-step explanation:

First principal invested = Rs. 10000

Interest rate = 5%

The interest is compounded yearly.

Time = 1 year

1 year compound interest is equal to simple interest.

Formula for simple interest:

[tex]SI = \dfrac{PRT}{100}[/tex]

Interest on first sum = [tex]\frac{10000\times 5\times 1}{100} = Rs\ 500[/tex]

Another sum is on fixed deposit 8% compounded half yearly.

Let the sum = Rs [tex]x[/tex]

Formula for compound interest is given as:

[tex]CI = P(1+\frac{R}{100})^T - P[/tex]

It is compounded half - yearly, therefore T = 2

[tex]CI = x (1+\frac{8}{100})^2 - x\\\Rightarrow CI = x(1.08)^2-x = 0.1664x[/tex]

As per question statement:

[tex]0.1664x - 500 = 152.80\\\Rightarrow x = \dfrac{652.80}{0.1664} = Rs\ 3823.08[/tex]

Answer:

Speed = 25miles per hour

Step-by-step explanation:

Represent the time with x and the distance with y

So, from the attachment; we have the following details:

[tex](x_1,y_1) = (0.5,12.5)[/tex]

[tex](x_2,y_2) = (1,25)[/tex]

[tex](x_3,y_3) = (1.5,37.5)[/tex]

Required

Determine the constant speed

Because the train travelled at a constant speed, the speed can be calculated using:

[tex]Speed = \frac{y_3}{x_3}=\frac{y_2}{x_2}=\frac{y_1}{x_1}[/tex]

[tex]Speed = \frac{12.5}{0.5}=\frac{25}{1}=\frac{37.5}{1.5}[/tex]

[tex]Speed = 25=25=25[/tex]

Notice that the result of each division is the same.

Hence, the constant speed is:

Speed = 25miles per hour

Answer:

The answer is C.

Step-by-step explanation:

h(x) = 3x + 2 - 1

Answer:

Thus, [tex]y=-\sqrt{x+3}[/tex] represents the transformed graph on the attached figure, which is a translated square root graph i.e. vertically reflected across the y-axis and also horizontally translated or shifted 3 units to the left.

Step-by-step explanation:

Consider the function

y = f(x)

The rule of horizontal translation

y = f(x-h)

When 'h' is positive, the function is shifted to the right.

When 'h' is negative, the function is shifted to the left.

The rule of implying vertical reflection across the x-axis

y = -f(x)

Applying the rule:

We know that the square root function is

[tex]y=\sqrt{x}[/tex]

We know that if the graph would be reflected across the x-axis, then

[tex]y=-\sqrt{x}[/tex]

We know that   is horizontally translated or shifted 3 units to the left, it implies  +

3 inside the radical implies. Then the transformed function becomes .

Please check the attached diagram. From the diagram,

Thus, [tex]y=-\sqrt{x+3}[/tex] represents the transformed graph on the attached figure, which is a translated square root graph i.e. vertically reflected across the y-axis and also horizontally translated or shifted 3 units to the left.

Answer:

Start at the y-intercept, (0,-1). Next, go up one and to the right 2, plot a point. Keep going up one and to the right 2 until you reach the end of the graph. Next, go back to your y-intercept. Go down one and to the left 2. Keep going down and to the left until you reach the end of the graph. Connect all points.

Step-by-step explanation:

Start at the y-intercept, (0,-1). Next, go up one and to the right 2, plot a point. Keep going up one and to the right 2 until you reach the end of the graph. Next, go back to your y-intercept. Go down one and to the left 2. Keep going down and to the left until you reach the end of the graph. Connect all points.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

The coordinates that we can plot on the graph are:

(1, -1/2), (2, 0), (3, 1/2), and (4, 1)

The graph is given below

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The equation of a line y = (1/2)x - 1

We will find some coordinates from the equation.

When x = 1,

y = 1/2 - 1

y = -1/2

When x = 2,

y = 1/2 x 2 - 1

y = 1 - 1 = 0

When x  = 3,

y = 1/2 x 3 - 1

y = 3/2 - 1

y = 1/2

When x = 4.

y = 4/2 - 1

y = 2 - 1

y = 1

The coordinates that we can plot on the graph are:

(1, -1/2), (2, 0), (3, 1/2), and (4, 1)

The graph is given below

Thus,

The coordinates that we can plot on the graph are:

(1, -1/2), (2, 0), (3, 1/2), and (4, 1)

The graph is given below

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

Answer:

The total number of votes cast in the election was 11,141.

Step-by-step explanation:

To determine the number of negative votes in the voting, taking into account that the ratio of votes between positive and negative is 8 to 5 and that there were 6,856 positive votes, it is necessary to perform the following calculation:

6.856 / 8 x 5 = X

857 x 5 = X

4.285 = X

Therefore, there were 4,285 negative votes in the election. So, since 4,285 + 6,856 equals 11,141, the total number of votes cast in the election was 11,141.

Answer:

Divide the percentage by 100 to get a decimal number. Use that number as the numerator (top) of a fraction. Put a 1 in the denominator (bottom) of the fraction. Convert the decimal to a whole number: Count how many places are to the right of the decimal.

Answer:

$5.25

Step-by-step explanation:

23.75-2.75= is the price of four cheeseburgers, which is 21. 21/4 is the price of one. So its 5.25

Answer:

1 1/2 quarts per hour

Step-by-step explanation:

To do this you would divide 3/4 by 1/2 to do divide you flip 1/2 to 2/1 then multiply.

3/4*2/1=6/4 which is also equal to 1.5 quarts of paint per hour.

Answer:

(0, 13)

Step-by-step explanation:

The midpoint is halfway between the line segment. First find the distance from the starting point to the midpoint.

2-1 = 1. So Since the midpoint is behind the start point, we are going backwards (moving to the left on the x axis).

So 1 space left from the midpoint is 1-1=0.

For y, the distance between the start and mid is 6 - -1 = 6+1 = 7 spaces. Then add 7 spaces to the midpoint value of 6, so 7+6 = 13. We moved upwards on the y axis.

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Answer:

−11n + 10

Step-by-step explanation:

(4-n) + 2 (-5n+3)

4 - n + -10n + 6

-11n+4+6

The answer:-11n+10

Step-by-step explanation:

|14- c| = 15

=> 14 - c = 15 or 14 - c = -15

=> c = -1 or c = 29.

Answer:

-9 feet per second

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

Distance of OL = 0 - (-5)

                         = 0 + 5

                         = 5

Distance of OK = 2(5)

                          = 10

Gradient = [tex]\frac{rise}{run}[/tex]

               = [tex]\frac{0-(-5)}{10-0}[/tex]

               = [tex]\frac{5}{10}[/tex]

               = 0.5

Answer:

No because if you set them equivelent to each other you get 12=0

Step-by-step explanation:

1/4(12x + 24) - 9x = -6(x + 1)

3x + 6 - 9x = -6x - 6

-6x + 6 = -6x - 6

12 = 0x

I hope this helps

Answer:

9

Step-by-step explanation:

18/2=9

Answer:

The answer is below

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion.

The distance between two points on the coordinate plane is given as:

[tex]Distance=\sqrt{(x_2-x_1}^2+(y_2-y_1)^2 \\\\Therefore\ in\ triangle\ PQR:\\\\|QR|=\sqrt{(-2-(-2))^2+(4-0)^2}=4\\\\|PQ|=\sqrt{(-2-4)^2+(0-4)^2}=\sqrt{52}=2\sqrt{13} \\\\|PR|=\sqrt{(-2-4)^2+(4-4)^2}=6[/tex]

In triangle STU:

[tex]|ST|=\sqrt{(-1-2)^2+(-2-(-4))^2}=\sqrt{13}\\\\|SU|=\sqrt{(-1-2)^2+(-4-(-4))^2} =3\\\\|TU|=\sqrt{(-1-(-1))^2+(-4-(-2))^2}=2[/tex]

|QR| / |TU| = 4/2 = 2

|PR| / |SU| = 6/3 = 2

|PQ| / |ST| = 2√13 / √13 = 2

Hence:

|QR| / |TU| = |PR| / |SU| = |PQ| / |ST|

Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.

Similar triangles may or may not be congruent

Triangles PQR and STU are similar by SSS theorem.

The vertices of triangle PQR are given as:

[tex]P= (4, 4)[/tex]

[tex]Q= (-2, 0)[/tex]

[tex]R = (-2, 4)[/tex]

The vertices of triangle STU are given as:

[tex]S = (2, -4)[/tex]

[tex]T = (-1, -2)[/tex]

[tex]U =(-1, -4)[/tex]

Start by calculating the side lengths of the two triangles, using the following distance formula

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

For triangle PQR, we have:

[tex]PQ = \sqrt{(4 --2)^2 + (4 -0)^2} = \sqrt{52}[/tex]

[tex]PR = \sqrt{(4 --2)^2 + (4 -4)^2} = 6[/tex]

[tex]QR = \sqrt{(-2 --2)^2 + (0 -4)^2} = 4[/tex]

For triangle STU, we have:

[tex]ST= \sqrt{(2 --1)^2 + (-4 --2)^2} = \sqrt{13}[/tex]

[tex]SU= \sqrt{(2 --1)^2 + (-4 --4)^2} = 3[/tex]

[tex]TU= \sqrt{(-1 --1)^2 + (-2 --4)^2} = 2[/tex]

Check if the side lengths of both triangles are similar, by dividing corresponding sides

[tex]k = \frac{PQ}{ST} = \frac{\sqrt{52}}{\sqrt{13}} = 2[/tex]

[tex]k = \frac{PR}{SU} = \frac{6}{3} = 2[/tex]

[tex]k = \frac{QR}{TU} = \frac{4}{2} = 2[/tex]

Because the scale factors of the side lengths are the same, then both triangles are similar by SSS theorem.

Read more about similar triangles at:

https://brainly.com/question/8691470

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but I would show how to solve.

Transformation is the movement of a point from its initial location to a new location. Types of transformation is reflection, translation, rotation and dilation.

Dilation is the enlargement or reduction of the size of an object by a factor.

If a point A(x, y) is dilated by a factor k with a center of dilation at (a, b), then the new point is:

A'(x, y) = [k(x - a) + a, k(y - b) + b]

Let us assume that point A(2, 0) dilation with a scale factor of 2 centered at (1, 2). Hence the new point is:

A'(x, y) = [2(2 - 1) + 1, 2(0 - 2) + 2]  = (3, -2)

Answer:

2 is the correct answer

Answer:

463mi

Step-by-step explanation: