A density graph for all the possible speeds between 0 mph and 320 mph is in the shape of a triangle. What is the height of the triangle?

A. 0.025
B. 0.0125
C. 0.003125
D. 0.00625​

Answers

Answer 1

The height of the triangle is 0.00625.The correct option is D

To solve this problem

A density graph must have an area under it equal to 1. The range of speeds in this problem, 320-0 = 320, is the base of the density graph, which is shaped like a triangle. By multiplying the base by half of the triangle's height, we can determine the density graph's area.

Let h represent the triangle's height. The triangle's area is then:

1 = (1/2)320h

calculating h:

h = 1 / (320/2) = 0.00625

Therefore, option D is appropriate because the triangle's height is 0.00625.

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Related Questions

Find the distance between 3,4 and 3,9

Answers

Answer:

The answer is 5.

Step-by-step explanation:

The distance formula is ↷

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

All we got to to do right now is plug in!

[tex] d = \sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } \\ d = \sqrt{(3 - 3)^{2} + (9 - 4)^{2} } \\ d = \sqrt{(0)^{2} + (5)^{2} } \\ d = \sqrt{0 + 25} \\ d = \sqrt{25} \\ d = \sqrt{5} [/tex]

Therefore, the distance between 3,4 and 3,9 is 5.

Evaluate.
3 1/5 / 5 √-96=

Answers

Answer:

((3 1/5)/5) √(-96) =

6.27069374 i

Step-by-step explanation:

I just need help on this problem​

Answers

Answer:

16

Step-by-step explanation:

8n ; n=2

substitute 2 for n

8*2 = 16

Answer:

16

Step-by-step explanation:

plug in 2 for the letter n. 8(2)=16

parantheses mean multiplication.

Determine the basic probability. ​

Answers

Green would be 20% and red would be 50%

What is the equation of the line perpendicular to the line y = 2x + 3 with a y-intercept of -6

Answers

Answer:

         y = -¹/₂ x - 6

Step-by-step explanation:

Two lines are perpendicular if the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

 

y = 2x + 3   ⇒   m₁=2

2×m₂ = -1        ⇒    m₂ = -¹/₂

The y-intercept is b=-6 so the equation in  slope-intercept form:

                                                y = -¹/₂ x - 6

FMFWE,KFJWKJWKLEJWLKERJWLKRJLWKERJLWRJLWRJLWERJWERJWLKRJWERJWLE

Answers

Step-by-step explanation:

Is this some typing error? Please retype your question for assistance

A rectangular book measures 4 x 7. What is the length of its
diagonal?

Answers

pythagorean theorem tells us a^2 plus b^2 is c^2, in this case a would be 4, b is 7, and c is the diagonal. 16+49 is the c^2, so the diagonal is about 8

A rectangular book measures 4 x 7, the length of its diagonal is √65.

Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In mathematical terms, if a and b represent the lengths of the two shorter sides (also known as legs) of a right triangle, and c represents the length of the hypotenuse, then the Pythagorean theorem can be expressed as:

a² + b² = c²

Given:

Base = 4

Length = 7.

To determine the length of diagonal by using  Pythagorean  theorem.

Diagonal² = Base² + Length²

Plugging the values in Pythagorean  theorem.

Diagonal² = 4² + 7²

Diagonal = √(16 + 49) =√65.

Therefore, the length of diagonal of book is √65.

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A cleaning company charges $3 per square foot and a flat fee of $100. Which of the equations below shows the cost y, in dollars, of cleaning a patio that is x square foot? Hint: find the key words and corresponding amounts for "m" and "b."​

Answers

Step-by-step explanation:

Y= 3x + b

As, to know the total, which is y, we need to solve for the cost

So first for money per square foot = $3

For square foot = x

So, price for x square foot = $3x (here this is the value of m)

Now, for value b,

$100 is added to the cost as its the charge, as the flat fee

So the value of b = $100

So, y=3x+100

Jordan's pet grooming business has a monthly cost function of C = $12p + $2100. His Revenue is given by the function R = $62p, where C is the total cost per month, R is the total revenue he receives each month and x is the number of pets he grooms in a month. How many pets must he groom each month to break even?

Answers

Answer:

Step-by-step explanation:

.

What’s the solution for 6x = 18

Answers

Answer:

x = 3

Step-by-step explanation:

Divide 6 on both sides to get your answer which is 3.

Answer: x=3

Step-by-step explanation:

6x=18

x=18/6

x=3

Check: 6(3) =18

freh points for da butter dog the dog wit da butter

Answers

Answer:

tanks for the freh points

Step-by-step explanation:

we all like freh points

Answer:

butter dog sounds cool

Step-by-step explanation:

EXOTIC BUTTERS?

select the equation that represents the correct answer. bill divided the 32 ants in his farm into groups. there are 8 ants in each group. how many groups are in the farm?

(A) 8x = 32

(B) 32 - X = 8

(C) X + 8 = 32

(D) 32x = 8

Answers

Answer:

dont cheat

Step-by-step explanation:

HELP !!!!!!! MAHH HELP PLEASE !!!!

Answers

A. ( 5 , 3 )
B. ( 3 , -1 )
C. ( 1 , 2 )
D. ( 6 , 3 )
E. ( 9 , 2 )
F. ( 2 , -5 )
G. ( 2 , -3 )
H. (-16/11 , 28/11 )


Please mark BRAINLEST

6x + 3y = 12
4x + y = 14 what is the solution


Answers

Answer:

x=5 y=-6

Step-by-step explanation:

6x + 3y = 12  , 4x + y = 14

4x*3+y*3=14*3

12x+3y=42 , 6x+3y=12

(12x-6x)+(3y-3y)=30

6x=30, x=5

4*5 + y = 14

y=-6

is the dilation from figure A to figure B an enlargement or a reduction? what is the scale factor?

Answers

Reduction 1/3 I believe

17.82 + 6.4 =
???????

Answers

Answer:

24.22

Step-by-step explanation:

simple addition right lol

Answer:

24.22

Step-by-step explanation:

!!!!!!!!!!!

If the measures of two angles of a triangle are 102° and 27°, what is the measure of the third angle?
The measure of the third angle isº

Answers

Answer:

75°

Step-by-step explanation:

this isnt really step by step but its some thing

102

-27=

75°

PLEASE HELP!! Will mark brainlest!!
Which number is equivalent to 16 1/2
A. 2
B. 4
C. 8
D. 32

Answers

Answer:

I'm not even lying, it's none of them ;-;

btw if you want, can you give me brainliest :((

Answer:

4

Step-by-step explanation:

16^(1/2)

when bringing a number to the power of a fraction the denominator becomes the order of the root and the numerator becomes the power of the number

we are left with an order 2 root, which is a square root

[tex]16^\frac{1}{2}=\sqrt[2]{16}=4[/tex]

What is the value of X?

PLEASE HELP

Answers

Answer:

23

Step-by-step explanation:

19=x-4

x=23

Find the perimeter of the following shapes 9cm and 4.1?

Answers

Answer: a) 26.2 cm

Step-by-step explanation:

Perimeter of rectangle = 2 (l + w)

2 (l + w) = 2 (9 + 4.1) = 2 (13.1) = 26.2 cm

Hope this helps!

consider this system of equationsY=-1/2x+4 1/2 and 3x -4y=12 solve the system by graphing.Label each graph and the solution ...?HELP

Answers

Answer:

y=x^2

Step-by-step explanation:

-1/6 + 4/5 Write your answer in simplest form

Answers

Answer:19/30

Step-by-step explanation:

1. multiply and divide(left to right)-1/6

=-1/6+4/5

2.multiply and divide(left to right)4/5

=-1/6+4/5

3. add and subtract(left to right)-1/6+4/5=19/30

=19/30

Shannon and Bob are members of a cross-country team. Bob runs at a rate of 8 kilometers per hour and Shannon runs at a rate of 10 kilometers per hour. If the distance around the team's practice course is 1.7 kilometers, how much longer does it take Bob to complete one trip around the course than Shannon, to the nearest tenth of a minute?

Answers

Answer:

2.6 minutes

Step-by-step explanation:

Speed of Bob = 8 km/hr

Speed of Shannon = 10 km/hr

Distance of practice course = 1.7 km

As time = (distance)/(speed), so

Time taken by Bob to cover the distance, t1 = 1.7/8=0.2125 hours

Time taken by Shannon to cover the distance, t2 = 1.7/10= 0.17 hours

As t1 > t2, so, Bob takes more time than Shannon to complete the course.

t1-t2= 0.2125-0.17 = 0.0425 hours = 0.0425 x 60 minutes= 2.55 minutes.

On rounding up to tenth digit, t1-t2 = 2.6 minutes.

Hence, It takes 2.6 minutes more time for Bob to complete one trip around the course than Shannon

Zach's pet mouse drinks 1.084 milliliters of water each week.
Round the amount of water to the nearest hundredth.

Answers

Answer:

it is 1.08

Step-by-step explanation:

it was this on khan

1. FIND THE SLOPE FROM THE TABLE.

Answers

Answer:

B

Step-by-step explanation:

Just test two coordinates. Just do y2-y1/x2-x1. 60-80/20-10 = -20/10 = -2

jsjsbsjdjsjannsnsns ​

Answers

Answer:

yes this is so normal to do

Answer


Thx for the points

Have a good night :)

A shop sells a party hat at x dollars and a mask at y dollars. On a particular morning, 10 hats and 20 masks were sold for $30. In the afternoon, 8 hats and 10 masks were sold for $18. What is the cost of one hat and one mask? Let Hat be "H" and Mask be "M"

Answers

Answer:

m=1$

h = 1$

Step-by-step explanation:

i think... seems the only reasonable answer

The cost of one hat is $1 and cost of one mask is $1.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have 10 hats and 20 masks were sold for $30.

and, 8 hats and 10 masks were sold for $18.

let the cost of one hat be H and cost one Mask be M.

So, the system of Equation we get

10H + 20M = 30..........(1)

8H + 10M = 18...........(2)

Solving the above equation we get

10H - 16H = 30 - 36

-6H = -6

H = 1

and, 10 + 20M= 30

20M= 20

M= 1

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12 POINTS PLEASE HELP

Given f(-2)=0, find the zeros of the function below by using division and factoring
f (x) x^3 + 12x^2 + 46x + 52

Answers

Answer:

{x}={2}

{x}=\frac{{{10}-\sqrt{{-{4}}}}}{{2}}={5}-{i}={5.0000}-{1.0000}{i}

{x}=\frac{{{10}+\sqrt{{-{4}}}}}{{2}}={5}+{i}={5.0000}+{1.0000}{i}

What is 8/5 times 4/15?

Answers

Answer:

The answer is 32/75

Step-by-step explanation:

Hope this helps,

have a great day,

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Harry and Tim both made New Years resolutions. Harry made 5 more resolutions than Tim. Together they made 13 resolutions. How many resolutions did Harry make?

Answers

Answer:

Harry made 9 resolutions

Step-by-step explanation:

Okay, so the first thing that we have to do is divide 13 by 2.

Of course, it wouldn't equal so let's just say 6.

So both boys made around 6 resolutions each.

Now we have to take into consideration the 5 more resolutions that Harry made.

What I did to answer this question was I kept taking away Tim's resolutions and giving them to Harry until Harry had 5 more resolutions than Tim.

Finally, my resolution ratio came to 4:9

Tim made 4 resolutions and Harry made 9

In conclusion, Harry made 9 resolutions.

Plz mark me brainliest :)

There are 9 resolutions did Harry make.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Harry and Tim both made New Years resolutions.

Harry made 5 more resolutions than Tim.

And, Together they made 13 resolutions.

Now,

Let number of resolution Tim make = x

Then, Number of resolution Harry make = x + 5

Since, Together they made 13 resolutions.

Hence, We get;

⇒ x + (x + 5) = 13

⇒ 2x = 13 - 5

⇒ 2x = 8

⇒ x = 4

Thus, Number of resolution Harry make = x + 5

                                                              = 4 + 5

                                                              = 9

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You will need a stopwatch or a clock with a second hand to gauge your pulse.Heart Rate (Beats/ Minute)Step 1: Lie down in a comfortable position for 3-5 minutes. After the time has elapsed, count the number of times your heart beats in 6 seconds. Multiply times ten to get the number of beats per minute. To find your pulse, place your index and middle fingers under your jawline on either side of your larynx. Do not use your thumb. Record your heart rate in the REPORT document below.Step 2: Sit in a chair for 3-4 minutes, then count the number of times your heart beats in 6 seconds. Multiply times ten to get the number of beats per minute. Record your heart rate in the REPORT document below.Step 3: Stand for 3-4 minutes, then count the number of times your heart beats in 6 seconds. Multiply times ten to get the number of beats per minute. Record your heart rate in the REPORT document below.Step 4: Run in place for 60 seconds, then count the number of times your heart beats in 6 seconds. 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