Ron Alotte and Dee Selerate ran a 20 km. Race. Dee made three 10 minute stops during the race to fix her shoes and rest and yet the two racers finished in a tie. If Ron ran the race at a constant speed of 8 km. Per hour, find Dee's average speed when running.

Answer:

C

Step-by-step explanation:

For edge

The exponential equation is given by the expression A = 2¹²

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 16³   be equation (1)

Now , the value of 16 = 2⁴

So , from the laws of exponents , we get

( mᵃ )ᵇ = mᵃᵇ

And , 2⁴⁽³⁾ = 2⁴ˣ³

And , the value of A = 2⁴ˣ³ = 2¹²

Hence , the expression is A = 2¹²

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Answer:

22.50

Step-by-step explanation:

Answer:

its the 4th one

Step-by-step explanation:

x<-70

Answer:

the answer is 62

Step-by-step explanation:

you take  180 and subtract 118

Answer:

The answer should be 62, but i'm not positive so correct me if i'm wrong!

Explanation:

What I did is i added 118 and 118 then subtracted 360 by the sum. After that I divided the result by two which gave me 62, and I am almost sure that is the answer, but like I said i'm not positive. :)

Answer:

Option (A)

Step-by-step explanation:

Windmill is in the shape of a circle and each blade of the windmill is equally spaced.

There are 8 spaces in the windmill shown.

Therefore, angle between each blade = [tex]\frac{360}{n}[/tex]

Where n = number of blades

Angles between each blade = [tex]\frac{360}{8}[/tex]

                                               = 45°

To reach the position of blade U by blade P will cover 5 angles between the blades.

Therefore, angle of rotation covered by P to reach U = 5×45° = 225°

Option (A) will be the correct option.

Answer:

The mean is 15 pages a day.

Step-by-step explanation:

105/7=15

Answer:

Let's take this step by step:

2x+b=w

2x+b-b=w-b (the basics to what we are trying to do is to get x alone so that it equals whatever is on the other side of the equation.)

2x=w-b(now that we got rid of the b on the left side of the equation by canceling it out, we have to subtract by b on the other side of the equation as well)

2x divided by 2=w-b/2 (For our final step x is being mulitplied by 2 so what we can do to get x alone is canel out the multiplication by dividing by 2. What this does is it leaves x alone showing us what x equals)

x=w-b/2

Step-by-step explanation:

Answer:

the answer to your question is A and D i just got it right

Step-by-step explanation:

i hope this helps your welcome

StartFraction 2 a Over h EndFraction minus b 2 equals b 1.– b2 = b1

StartFraction 2 a Over b 1 plus b 2 EndFraction equals h. = h

Answer:

A and D

Step-by-step explanation:

correct on edge

Answer:

502,655[tex]m{2}[/tex]

Step-by-step explanation:

field's area to the nearest square is 1,40,000 m².

The area of composite shapes is the area that any composite shape covers. A composite shape is one that is made up of a few polygons that are joined together to make the desired shape. These forms or figures can be constructed out of triangles, squares, quadrilaterals, and so on. To calculate the area of a composite shape, divide it into fundamental shapes such as squares, triangles, rectangles, hexagons, and so on.

Given area of the circular field is 500,000 m². and also given the side of a square around it which is 800 m.

Hence, the area of the square is 640,000 m².

Therefore the remaining area of the space is 1,40,000 m².

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Answer:

"past" is one

Step-by-step explanation:

Answer:

past is one okkkk kkkkjjjjj

Answer:

B.

3    6

4    5

5    4

6    3

Step-by-step explanation:

As the x increases the y decreases

And there has to be a constant rate of change

The equation would be y = -x + 9

Answer:

Step-by-step explanation:

10 i

es esto

Answer:

we need to know what the question is.

Step-by-step explanation:

to solve this you would use pythagorean theorm which is a^2+b^2=c^2.

The hyotenuse is obviouly 11 and one of the side lengths is 4 so you would put 4^2+b^2=11^2 which is 16+b^2=121. You subtract 16 to get b^2 = 105 and then square root both sides, So the answer would be √105.

Answer:

4.995

Step-by-step explanation:

Answer:

Step-by-step explanation:

M is less than or equal to 1

Answer:

200,375

Step-by-step explanation:

just multiply 40,075 by 5

Answer:

the answer should be 7a^3-4a^2-2a-87

The number of people who are sampled in the census is the whole population which is, 540,000.

Given that,

Size of the population = 540,000

We have to take a census regarding something which is not mentioned for this population.

In census, contrary to survey and other modes of taking information, the entire population will be sampled for the collection of the information rather than taking a sample of smaller size.

So there can't be a sample which contains less number of individuals or units for taking the information.

So the whole population of 540,000 people are included in the sample.

Hence the correct option is C, which is 540,000.

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Answer:

5 because its a 3 so you cant round up so you round down.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

if you have to round anything under five you would round down to zero there for the the number after it would not change hope this helped

Answer:

A

Step-by-step explanation:

A triangle has all different side lengths and angle measures have? 0 reflectional symmetries . Option A is correct.

Which triangle has 0 reflectional symmetries to determine.

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

For a triangle that has 0 reflectional symmetries implies the triangle must be of irregular shape. Every measure must not be identical. If any measure in the triangle is not the same means every side and angle has a different measure.  So it is impossible to find any axis of symmetry within the triangle

Thus,  a triangle has all different side lengths and angle measures have? 0 reflectional symmetries. Option A is correct.

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Answer:

This was $14 less than twice what she spent for a blouse . How much ... From the first two equations, we have A=12B=12(3C)=32C ... How many days will it require for the son to plow the field alone?

Step-by-step explanation:

Work Shown:

[tex]x = 3\sqrt{5}*3\sqrt{2}\\\\x = (3*3)(\sqrt{5}\sqrt{2})\\\\x = 9\sqrt{5*2}\\\\x = 9\sqrt{10}\\\\[/tex]

The rule used on line 3 is [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]

See attachment for math work and answer.

Answer:

Option (4)

Step-by-step explanation:

From the figure attached,

Length of the rope holding Kayla to the boat = 240 meters

Horizontal distance of Kayla from the boat = x = 181 meters

Let the distance of Kayla above the boat = y meters

Triangle formed is a right triangle. Therefore, by applying Pythagoras theorem in the given triangle,

x² + y² = (240)²

(181)² + y² = (240)²

y = [tex]\sqrt{57600-32761}[/tex]

  = [tex]\sqrt{24839}[/tex]

  = 157.6 meters

Therefore, vertical distance between Kayla and boat is 157.6 meters.

Option (4) will be the answer.

Answer:

1.99 per pound means the cost of 1 pound is 1.99!!

Step-by-step explanation:

Unit rate means the rate of 1 item

Answer:

10 in

Step-by-step explanation:

The length, height and width of a cube are always equal. Therefore, the length of one side of the storage container can be any of the side length of the cube.

Volume of cube is given as a³. Where, a = length of one of the sides

Given that the storage container has a volume of 950 in³, side length of one side is:

[tex] 950 = a^3 [/tex]

[tex] \sqrt[3]{950} = \sqrt[3]{a^3} [/tex]

[tex] \sqrt[3]{950} = a [/tex]

[tex] 10 = a [/tex] (nearest integer)

Length of one side = 10 in

Answer:

x=2

Step-by-step explanation:

Step-by-step explanation:

[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0 \atop [/tex]

[tex] \sf rewrite (x - 3) \sqrt{ {x}^{2} - 6x + 12 } \: as \: (x - 2) \sqrt{ {x}^{2} - 6x + 12} - : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)\sqrt{ {x}^{2} - 2x + 4} + (x-2)\sqrt{x^{2}-6x+12 } + (x - 1) \sqrt{ {x}^{2} - 6x + 12} +2x-4=0[/tex]