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AlladinOne [14]
3 years ago
10

The graph shows the altitude of a car as a driver descends down a mountain.

Mathematics
1 answer:
Sveta_85 [38]3 years ago
7 0

The rate of change represented by the graph is that the car drives down the mountain at a rate of 250 feets per hour.

The rate of change also called the gradient or slope is obtained using the relation :

Rate of change = change in y / change in x

Change in y = (y2 - y1)

Change in x = (x2 - x1)

From the graph :

y2 = 1500 ; y1 = 0

y2 = 1500 ; y1 = 0x2 = 6 ; x1 = 0

Hence,

Rate of change = (1500 - 0) / (6 - 0) = 1500 / 6 = 250

Learn more : brainly.com/question/2610134

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Find the surface area of each figure.
timurjin [86]

Answer:

For a cylinder of radius R and height H, the surface area is given by:

A = 4*pi*R^2 + H*(2*pi*R)

Where pi = 3.14

We can just use that formula for each one of the given cylinders.

1) We can see that the diameter is 10 yd, and the radius is half of the diameter, then the radius is:

R = 10yd/2 = 5yd

And the height is 3yd, then H = 3yd

Replacing these in the area equation, we get:

A = 4*3.14*(5 yd)^2 + 3yd*(2*3.14*5yd) = 408.2 yd^2

2) Here we can see that the diameter is 24 cm, then the radius is:

R = 24cm/2 = 12cm

And the height is H = 10cm

Then the area is:

A = 4*3.14*(12 cm)^2 + 10cm*(2*3.14*12cm) = 2,562.24 cm^2

3) In this case we have a radius equal to 12 cm, and a height equal to 7 cm, then the area is:

A = 4*3.14*(12 cm)^2 + 7cm*(2*3.14*12cm) = 2,336.16cm^2

4) Here is hard to see the measures, I think that here we have:

diameter = 8m

Then R = 8m/2 = 4m

And the height is also 8m, H = 8m

Then the area is:

A = 4*3.14*(4 m)^2 + 8 m*(2*3.14*4m) =401.92 m^2

6 0
3 years ago
Melissa mows many lawns in her neighborhood. She mows lawns for $95 per lawn. She also offers full landscape maintenence for $12
olga55 [171]

9.52

125 * 4 = 500

500 * 9.52 = 4,760

6 0
3 years ago
Manufacturers are testing a die to make sure that it is fair (has a uniform distribution). They roll the die 66 times and record
steposvetlana [31]

Answer:

We should reject H0

At the 5% significance level, there is sufficient evidence to conclude that the die is not fair.

Step-by-step explanation:

Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis. The critical value is 15.091 and  test statistic is 11.070. The null hypothesis is rejected or accepted on the basis of level of significance. When the p-value Test statistics is greater than level of significance we fail to reject the null hypothesis and null hypothesis is then accepted. In the given case p-value is less than critical value then we should reject the null hypothesis.

6 0
3 years ago
Please an answer!!! <br><br><br> will give brainliest
pishuonlain [190]
The answer is D) {-1,-6}
6 0
2 years ago
Grace and her dad are planning to attend the state fair. An adult ticket is $15.00. The price of an adult ticket is one half the
Aleks04 [339]

Answer:

The equation is 1/2 x + 8 = 15 ⇒ answer A

Step-by-step explanation:

* Lets explain how to solve the question

- Grace and her dad are planning to attend the state fair

- The price of an adult ticket is $15

- The price of the adult ticket is one half the price of the student ticket

  plus $8

- Assume that the price of the student ticket is x

∵ The price of the student ticket is x

∵ The price of the adult ticket is half the price of the student ticket

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- lets multiply half by x and then add the result by 8

∴ The price of the adult ticket = 1/2 x + 8

∵ The price of the adult ticket is $15

- Equate the expression of the price of the adult ticket by the price of

 the adult ticket

∴ 1/2 x + 8 = 15

* The equation to determine how much Grace will pay for a student

  ticket is 1/2 x + 8 = 15

∴ The answer is choice A

8 0
3 years ago
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