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4 years ago

Which statement best describes the data in a scatter plot where the Y values are decreasing as the x-values are increasing

Mathematics

1 answer:

Sphinxa [80]4 years ago

6 0

Answer:

<h2>Option D is the right answer.</h2>

Step-by-step explanation:

We need to find the option for which the value of the function will be increasing, with the increasing variable.

Vertical line means the value of the x is constant, for any y. Hence, it is not the answer.

Horizontal line represents constant functions. Hence option B can not be the answer.

The data having a positive slope represents a increasing function with the increasing variable. Vice-versa for the data having a negative slope.

That is why option D will be the answer.

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9/16+7/8= A.)1-3/16inches B.)1-7/16inches C.)1-11/16inches D.)1/-13/16inches

anzhelika [568]

Answer:

hey can you show me the pic because the question doesn't make any sense

8 0

2 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y =

miss Akunina [59]

Answer:

381.18 cubic units

Step-by-step explanation:

Graph the region:

desmos.com/calculator/iwvreqjz2m

The region is a trapezoid. When we rotate it about x = 1, we get a hollow cylinder shape. We can either use washer method or shell method to find the volume.

If we find the volume using washer method, we'll have to use two integrals, one for the triangular part of the trapezoid and one for rectangular part. If we use shell method, we only need one integral. So let's use shell method.

Cut a thin, vertical slice of the region. The width of this slice is dx. The height of the slice is y₂ − y₁ = x − 0 = x. The radius of the shell is x − 1.

The volume of the shell is:

dV = 2π (x − 1) (x) dx

dV = 2π (x² − x) dx

The total volume is the sum of all the shells from x=5 to x=7.

V = ∫ dV

V = ∫₅⁷ 2π (x² − x) dx

V = 2π ∫₅⁷ (x² − x) dx

V = 2π (⅓ x³ − ½ x² + C) |₅⁷

V = 2π [(⅓ 7³ − ½ 7² + C) − (⅓ 5³ − ½ 5² + C)]

V = 2π [⅓ 7³ − ½ 7² − ⅓ 5³ + ½ 5²]

V = 2π [⅓ (7³ − 5³) + ½ (5² − 7²)]

V = 2π [⅓ (218) + ½ (-24)]

V = 2π (72⅔ − 12)

V = 121⅓ π

V ≈ 381.18

The volume is approximately 381.18 cubic units.

6 0

3 years ago

What is the simplest form of the expression (14.2a + 9.8b) – (13.1b – 0.2a) – (3.7a + 4.8b)?

Wewaii [24]

(14.2a + 9.8b) - (13.1b - 0.2a) - (3.7a + 4.8b)
14.2a + 9.8b - 13.1b + 0.2a - 3.7a - 4.8b
(14.2a + 0.2a - 3.7a) + (9.8b - 13.1b - 4.8b)
10.7a - 8.1b

6 0

3 years ago

Read 2 more answers

PLEASE HELP ME Name the axis on which time is plotted. (X axis or y axis)

scoundrel [369]

Answer:

Step-by-step explanation:

Scientists like to say that the “independent” variable goes on the x-axis (the bottom, horizontal one) and the “dependent” variable goes on the y-axis (the left side, vertical one).

6 0

3 years ago

Read 2 more answers

Use the following information to complete parts I, II and III.

Ber [7]

Answer:

see below

Step-by-step explanation:

Part I: Use scientific notation to estimate the number of hours in one year

Using the conversion factors

Estimate using scientific notation

31,556,952 seconds = 3.2 * 10^7

3600 seconds = 3.6 * 10 ^2

1 year = 3.2 * 10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds

3.2 /3.6 =.88888 (repeating)

10^7 / 10^2 = 10^5

8.88888 * 10 ^5

8.888 * 10 ^4 hours

Part II: Use scientific notation to calculate the exact number of hours in one year.

31,556,952 seconds = 3.1556952 * 10^7

3600 seconds = 3.6 * 10 ^2

1 year = 3.1556952 * 10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds

3.1556952 /3.6 =.876582

10^7 / 10^2 = 10^5

.876582 * 10 ^5

8.76582*10^4 hours

Part III: In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences in your answers.

Part II is an exact answer, where Part I is an estimate. Both Parts give values in the thousands of hours, and are both between 8700 and 8900 hours. Part I can be done without a calculator where Part II is much harder to do without a calculator.

7 0

3 years ago