An airplane flies with a constant speed of 820 miles per hour. How long will it take to travel a distance of 2460 miles?

Answer:

a

Step-by-step explanation:

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

Work Shown:

F = first test data set

F = {1,3,5,5,7,7,7,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10}

m = mean of set F

m = (sum of values in set F)/(number of values in set F)

m = (1+3+5+5+7+7+7+8+8+8+8+9+9+9+9+9+9+9+9+10+10+10+10+10+10)/25

m = 199/25

m = 7.96

----------

L = last test data set

L = {3,4,4,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10}

n = mean of set L

n = (sum of values in set L)/(number of values in set L)

n = (3+4+4+5+5+6+6+6+7+7+7+7+7+7+8+8+8+8+8+9+9+9+9+10+10)/25

n = 177/25

n = 7.08

----------

d = difference in means

d = m - n

d = 7.96 - 7.08

d = 0.88

Answer:

The orthocenter is the point of intersection of the three heights of a triangle.

The centroid is the point of intersection of the three medians.

The circumcenter is the point of intersection of the three perpendicular bisectors.

The incenter is the point of intersection of the three angle bisectors.

Step-by-step explanation:

Answer:

The correct option is C

Step-by-step explanation:

The given equation is:

y  ≥ 2x - 3

For x= 2

y = 2(2) - 3 = 1

For x=0

y = 2(0) - 3 = -3

WE have two point:

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

Graph both points on the coordinate plane.

Join both points and extend the line to find the graph of the line y = 2x - 3

To find the area the represents y  ≥ 2x - 3, consider any point, suppose (0,0)

Substitute (0,0) into  y  ≥ 2x - 3

0 ≥ 2(0) - 3

0 ≥ -3

Hence the equation satisfies.

Which means the area which has the point (0 , 0) shows the region for the equation y  ≥ 2x - 3.

The graph is shown.

Answer:

The answer is option A.

Step-by-step explanation:

-5x-10 <20

Group like terms

-5x < 20 + 10

-5x < 30

Divide both sides by -5

x > - 6

Hope this helps

Hope this helps

Answer:

19 units

Step-by-step explanation:

In a parallelogram, opposite sides are congruent. So, we can set up a formula that looks like this: 3x - 8 = x + 10. When you solve for x, you'll get 9. 9 + 10 = 19 units

The length of the side TU of the parallelogram is 19 units long.

A parallelogram is a quadrilateral with opposite pair of sides parallel and equal.

In the question, we are given a parallelogram STUV.

The length of the side TU is given as x + 10.

The length of the side VS is given as 3x - 8.

As the sides, TU and VS are opposite to each other, and the quadrilateral STUV is a parallelogram, so they are equal.

∴ TU = SV

or, x + 10 = 3x - 8

or, x + 10 - 3x = 3x - 8 - 3x (Subtracting 3x from both the sides)

or, -2x + 10 = -8 (Simplifying)

or, -2x + 10 - 10 = -8 - 10 (Subtracting 10 from both sides)

or, -2x = -18 (Simplifying)

or, -2x/(-2) = -18/(-2) (Dividing both sides by -2)

or, x = 9 (Simplifying).

Now, TU = x + 10 = 9 + 10 = 19.

∴ The length of the side TU of the parallelogram is 19 units long.

Learn more about parallelograms at

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Answer:

D

Step-by-step explanation:

12x + 6y = 24

Subtract 6y on both sides.

12x = 24 - 6y

Divide 12 into both sides.

x = 24/12 - 6/12y

x = 2 - 1/2y

The solution for x in terms of y is x = 2 - (1/2)y

We have,

To solve the equation 12x + 6y = 24 for x, we can isolate x on one side of the equation.

Starting with 12x + 6y = 24, we can subtract 6y from both sides:

12x + 6y - 6y = 24 - 6y

This simplifies to:

12x = 24 - 6y

Next, we divide both sides of the equation by 12 to solve for x:

(12x)/12 = (24 - 6y)/12

This gives us:

x = (24 - 6y)/12

x = 24/12 - 6y/12

x = 2 - (1/2)y

Therefore,

The solution for x in terms of y is x = 2 - (1/2)y

Learn more about equations here:

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Answer:

d) y=(x+pi/2)

Step-by-step explanation:

edge 2020 correct & 100%

Answer:

m = 5/8

Step-by-step explanation:

                                                2 - (-3)

The slope is m = rise / run = ------------- =  5/8

                                                 6 - (-2)

Answer:

The answer is 5/8

Step-by-step explanation.

The equation for slope is y2-y1/x2-x1. In this case, it would equal 2-(-3)/6-(-2). When you simplify this you get 5/8.

Answer:

So we have (-1,3), (-2,2) and (-5,-1).

Step-by-step explanation:

So we need to find the equation of the line that is parallel to the blue line going through point P.

The slope of the blue line (count the rise/run) is 1/1=1.

Parallel lines have the same slope.  

So y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.

So since the blue line has slope 1 and parallel lines have the same slope then the line going through point P will have slope 1 too.

Point P is actually the y-intercept of the line going through P.

So the equation that is parallel to the blue line going through point P is y=1x+4. b was 4 because it was the y-intercept.

You can also just write y=1x+4 as y=x+4.

Testing the points:

(-4,2)?

Does y=x+4 for this point?  2=-4+4 which gives us 2=0 so no for this point.

(-1,3)?

Does y=x+4 for this point?  3=-1+4 which gives us 3=3 so yes for this point.

(-2,2)?

Does y=x+4 for this point?  2=-2+4 which gives us 2=2 so yes for this point.

(4,2)?

Does y=x+4 for this point?  2=4+4 which gives us 2=8 so no for this point.

(-5,-1)?

Does y=x+4 for this point?  -1=-5+4 which gives -1=-1 so yes for this point.

So we have (-1,3), (-2,2) and (-5,-1).

Answer:

567.4 cm

Step-by-step explanation:

I am assuming we are solving for x.  

In that case, 2(2x - 6) + 2(x + 3) = 4533

4x - 12 + 4x + 6 = 4533

4x + 4x = 4533 + 12 - 6

8x = 4539

x = 567.4 cm

Answer: If finding x, answer would be 567.4

Step-by-step explanation:

2(2x - 6) + 2(x + 3) = 4533

4x - 12 + 4x + 6 = 4533

4x + 4x = 4533 + 12 - 6

8x = 4539

4539 divided by 8= 567.4

Therefore,   x = 567.4 cm

hope it helped :)

Answer:

V = 251.3 cm³

Step-by-step explanation:

Diameter  8 cm

Radius = 4 cm

Height = 5 cm

Volume of Cat Food contained by the tin can = [tex]\pi r^2 h[/tex]

Where r = 4 cm, h = 5 cm

V = (3.14)(4)²(5)

V = (3.14)(16)(5)

V = 251.3 cm³

Answer:

251.3 cm³

Step-by-step explanation:

The diameter is 8 cm

So the radius is 8/2 = 4 cm

The height is 5 cm

Volume of tin can:

[tex]\pi r^2 h[/tex]

r = 4 & h = 5

[tex]V =\pi (4)^2 (5)\\V = \pi (16)(5)\\V = 251.3[/tex]

Answer [tex]67\leq t\leq 87=15[/tex]

Step-by-step explanation: It's asking for the range so you have to subtract the the lowest temp with the highest temp. The highest temp is 82 and the lowest 67. 82-67 is 15 but they asked you to write it inequality so [tex]67\leq t \leq 87 = 15[/tex]

Answer:

[tex]\boxed{\sf \ \ \ f^{-1}(-2)=-2\ \ \ }[/tex]

Step-by-step explanation:

hello

in the output check where you can see -2

and then follow the arrow to find the corresponding item in input which is -2

hope this helps

Answer:

Sonya wouldve taken 15 quizzes over the course of 5 weeks

Step-by-step explanation:

First, you divide 12 by four to get the number of quizzes that she does in one week

12/4=3

Next, you multiply 5 by 3 to see how many quizzes she completes in 5 weeks.

5*3=15

Sonya completes 15 quizzes over the course of 5 weeks.

Answer:

Sonya will have taken 27 quizzes.

Step-by-step explanation:

12 divided by 3 is 4.

5 times 3 is 15.

12 + 15 = 27

Answer is 27 quizzes.

Hope that helps and maybe earns a brainliest!

Answer:

a.) k = 10

b.) x = 20

Step-by-step explanation:

Step 1: Plug in variables and calculate for k

2 = k/5

10 = k

Step 2: Plug in variables and calculate for x

0.5 = 10/x

0.5x = 10

x = 20

Answer:

D

Step-by-step explanation:

the scale factor will be the square of the fraction

7/4 =49/16

Answer:

D

Step-by-step explanation:

Answer:

The key is to move 1 marble from 1 corner to a side. For example, move 1 marble from pile A to pile B. The bottom side of the triangle only has 8 marbles left. Add 1 marble to pile C, all 3 sides still have 9 marbles.

Step-by-step explanation:

Answer:

A) The table shows a proportional relationship (as the number of pages increase the time is proportionally increasing as well)

D) The 11th page of notes takes longer than normal (too long time duration)           o((⊙﹏⊙))o.

Answer:

Let's denote:

The event of driving while using a cell phone: A

The event of having a traffic accident: B

The event of driving while using a cell phone and having a traffic accident:  A⋂B

P(A) = 11% = 0.11

P(B) = 5.26% = 0.526

P(A⋂B) = 28% = 0.28

If event A and event B are independent (it means the cause of a traffic accident is nothing related to driving while using a cell phone), then:

P(A) x P(B) = P(A⋂B)

Let's check:

P(A) x P(B) = 0.11 x 0.526 = 0.05786 and not equal to P(A⋂B) = 0.28

=> Event A and event B are not independent. In other words, they are related. (it means driving while using a cell phone is one of the reasons for having a traffic accident)

Answer: v = 3t^2, -e^-t ;

Speed = √ 9t^4 + (-e^-t)^2 ;

a(t) = 6t, e^-t

Step-by-step explanation:

Given the position function at time 't' for t greater than or equal to 0:

r(t) = (9,t^3, e^-t)

The Velocity of 'v' is the first derivative of r with respect to 't' :

d/dt(9) = 0

d/dt(t^3) = 3t^3-1 = 3t^2

y = (e^-t) =

Using chain rule :

Let u = -t

y = e^u ; dy/du = e^u

du/dt = -1 ;

Therefore dy/dt = dy/du * du/dt

dy/dt = -1 * e^u ; -e^u ; u = -t

dy/dt = -e^-t

Therefore,

v = 3t^2, -e^-t

The magnitude of velocity 'v ' = speed

Speed = √v1^2 + v2^2

Speed = √(3t^2)^2 + (-e^-t)^2

Speed = √ 9t^4 + (-e^-t)^2

Acceleration(a) = derivative of velocity

d/dt(3t^2) = 6t

d/dt (-e^-t) :

Using chain rule :

dy/dt = -e^-t

Let u = -t ; du/dt = -1

-e^u ; dy/du = -e^u

Therefore, dy/dt = -1 * -e^u

u = -t

dy/dt = e^-t

Therefore, acceleration:

a(t) = 6t, e^-t

Answer:

idk

Step-by-step explanation:

I'm going to do some deep research to find the answer. One sec

Answer:

There are 5 groundhogs and 10 crows.

Step-by-step explanation:

Ok, so there are 15 animals and 40 legs. So, groundhogs have 4 legs while crows have 2. Lets say x= our groundhog legs, and y= our crow legs. Our equations are 4x+2y=40 and x+y=15. Now that we have the equations needed we just have to solve them. Now we subtract the two equations from each other. So, this would get,

                                                                            4x+2y=40

                                                                           -   x+  y=15

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

                                                                               3x+y=25.

Now we need to subtract x to the other side. So, now we have y=25-3x. The only solution to this problem is (5,10). 25-3(5)=25-15=10. To check this lets put them into our original equations, 4x+2y=40 and x+y=15. So, 4(5) + 2(10)=20+20=40, and 5+10=15! So there's your answer.

Answer:

16 tricycles

Step-by-step explanation:

First, let's make a chart:

Bicycles- x bicycles and 2x wheels

tricycles- y tricycles and 3x wheels

Four wheeled vehicles- 2 bikes (given), 8 wheels

Since the total amout of bikes is 40, that means that x+y+8=40

You can simplify that to x+y=38.

now, we're going to form another equations dealing with the number of wheels.

Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92

Solve the system of equations:

2x+3y=92

x+y=38

y will be 16

Step-by-step explanation:

Answer:

B. SAS

Step-by-step explanation:

3/1= 2.25/075

The 2 sides are congruent and the angle between them is common

B. SAS is the answer

Answer:

The height of parallelogram is [tex]2x^2-7x+1[/tex]

Step-by-step explanation:

Area of parallelogram =[tex]Base \times Height[/tex]

Area of parallelogram = [tex]2x^3 -x^2 -20x + 3[/tex]

Base of parallelogram = x+3

So, [tex]2x^3-x^2-20x + 3 = height \times (x+3)[/tex]

[tex]\frac{2x^3- x^2 -20x + 3}{x+3}= height\\2x^2-7x+1=Height[/tex]

Hence The height of parallelogram is [tex]2x^2-7x+1[/tex]

Answer:

^^^^^^^

correct

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The slope is 0 because as x changes, y doesn't change.

Answer:

A

Step-by-step explanation:

AA stands for angle angle.

For the two triangles given being similar by AA, they should have two equal angles. Of course, once two angles are equal the third one will be equal as well, once the angles of a triangle always add up to 180º.

Therefore, the angle ∠NMO and ∠QPR should be equal.

Answer:

80%

Step-by-step explanation:

100/15=6 2/3

12*6 2/3 = 80

80 percent increase

Answer:

solution,

Old price (P1)=$15

New price(P2)=$27

percent increase:

[tex]( \frac{p2 - p1}{p1} ) \times 100 \: percent \\ = ( \frac{27 - 15}{15} ) \times 100 \: percent \\ = ( \frac{12}{15} ) \times 100 \: percent \\ = 80 \: percent[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

101.3 °

Step-by-step explanation:

(C x 9/5) + 32 = F

(38.5°C × 9/5) + 32 = F

101.3° = F

Answer:

17

Step-by-step explanation:

the rise is the new minus the old.

9 - -8 = 9+8 = 17

Answer:

rise in temp= 17℃

Step-by-step explanation:

midnight= -8℃

noon= 9℃

9- (-8)= 17

rise in temp= 17℃

or you could just count the difference on your fingers.

-8, -7 ,-6........ 6, 7,8,9