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lina2011 [118]
3 years ago
14

Graph y=8.5xy=8.5xy, equals, 8, point, 5, x.

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
3 0

Answer:

  • A, B, E

Step-by-step explanation:

<u>Given equation</u>

  • y = 8.5x

<u>Answer choices</u>

A. The equation represents a proportional relationship.

  • TRUE, it is in the form of y = kx

B. The unit rate of change of y with respect to x is 8.5

  • TRUE, y = mx + b, the slope m = 8.5 is the rate of change

C. The slope of the line is 2/17

  • False, the slope is 8.5

D. A change of 17 units in x results in a change of 2 units in y.

  • False, a change of x = 17 results in 17*8.5 = 144.5 units in y

E. A change of 4 units in x results in a change of 34 units in y.

  • TRUE, because 4*8.5 = 34
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A glider is gliding at an altitude of 265 ft. An airplane is flying at an altitude of 35,775 ft. How many times higher is the ai
ArbitrLikvidat [17]

Answer:

If a glider has a 50:1 glide ratio, then it travels 50 feet for every foot of altitude lost. Glide rati

4 0
3 years ago
The groundhog population of​ Punxsutawny, Pennsylvania is closely monitored each year. Two years ago the population decreased by
kap26 [50]

Answer:

There was a increase of 1.7% over these three​ years

Step-by-step explanation:

Multipliers:

For a decrease of a%, we multiply by: \frac{100-a}{100}

For a increase of a%, we multiply by: \frac{100+a}{100}

What was the percentage​ increase/decrease of groundhogs over these three​ years?

Decrease of 12%(multiplication by 0.88).

Increase of 6%(multiplication by 1.06).

Increase of 9%(multiplication by 1.09).

After these three years:

0.88*1.06*1.09 = 1.017

1.017 - 1 = 0.017

0.017*100% = 1.7%

There was a increase of 1.7% over these three​ years

3 0
3 years ago
mary lou is twice geoge's and kate is two years younger than george the sum of all of their ages is 46 how old is everyone​
saw5 [17]

Answer:

George is 12, Mary Lou is 24 and Kate is 10.

Step-by-step explanation:

To find these, start by setting George's age as x. This means that we can model Mary Lou's age as 2x, since she is twice as old. We can also model Kate's age as x - 2 since she is two years younger. Now we can add these 3 together and set equal to 46

x + 2x + x - 2 = 46

4x - 2 = 46

4x = 48

x = 12

This means that George is 12.

Mary Lou = 2x

Mary Lou = 2(12)

Mary Lou = 24

Kate = x - 2

Kate = 12 - 2

Kate = 10

3 0
3 years ago
Read 2 more answers
A meteorologist is monitoring the atmospheric pressure as his height above sea level varies. The meteorologist determines that t
Burka [1]

Answer:

The function p(n) is represented by p(n) = 103\cdot (0.88)^{n}.

Step-by-step explanation:

Statement indicates that atmospheric pressure decreases exponentially when height above sea level is increased. This fact is represented by the following model:

p(n) = p_{o}\cdot r^{n} (Eq. 1)

Where:

p_{o} - Atmospheric pressure at sea level, measured in kilopascals.

r -Atmospheric pressure decrease rate, dimensionless.

n - Height above sea level, measured in kilometers.

p(n) - Current pressure, measured in kilopascals.

If we know that p_{o} = 103\,kPa and r = 0.88, the function p(n) is represented by:

p(n) = 103\cdot (0.88)^{n}

4 0
3 years ago
Use special right triangles to find the exact value (no decimals).
fgiga [73]

Let’s find some exact values using some well-known triangles. Then we’ll use these exact values to answer the above challenges.

sin 45<span>°: </span>You may recall that an isosceles right triangle with sides of 1 and with hypotenuse of square root of 2 will give you the sine of 45 degrees as half the square root of 2.

sin 30° and sin 60<span>°: </span>An equilateral triangle has all angles measuring  60 degrees and all three sides are equal.  For convenience, we choose each side to be length 2.  When you bisect an angle, you get 30 degrees and the side opposite is 1/2 of 2, which gives you 1.  Using that right triangle, you get exact answers for sine of 30°, and sin 60° which are 1/2 and the square root of 3 over 2 respectively.

Now using the formula for the sine of the sum of 2 angles,

sin(A + B) = sin A cos<span> B</span> + cos A sin B,

we can find the sine of (45° + 30°) to give sine of 75 degrees.

We now find the sine of 36°, by first finding the cos of 36°.

<span>The cosine of 36 degrees can be calculated by using a pentagon.</span>

<span>that is as much as i know about that.</span>

5 0
3 years ago
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