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3 years ago

Consider the two groups listed below. Which statement describes the sets?

1 answer:

6 0

The correct answer is: 
D) neither the relation (length, volume) nor the relation (volume, length) is a function.

Explanation: 
A function is a relation in which each element of the domain is mapped to no more than 1 element of the range.
For (length, volume), the domain would be length and the range would be volume.
There could possibly be a length value that is mapped to more than one volume value, depending on the height of the pool. This means that (length, volume) is not always a function.
For (volume, length), volume is the domain and length is the range.
There could possibly be a volume that is mapped to more than one length, depending on the height of the pool. This means that (volume, length) is not always a function either.

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R varies directly as s. Find r when s=10 and k=4

nadezda [96]

Step-by-step explanation:

Since, r varies directly as s

$\therefore \: r \: \: \alpha \: \: s \\ \therefore \: r = k s..(1) \: \\ (k = \: constant \: of \: proportionality ) \\ plug \: s = 10 \: and \: k = 4 \: in \: equation \: (1) \\ r = 4 \times 10 \\ \huge \red{ \boxed{ \therefore \: r =40}}$

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3 years ago

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Which rate is faster:a bird traveling at a constant rate of 2 kilometer per hour or an insect travelinf at a constant rate of 1,

Alla [95]

The bird since 1 kilometer is 1000 meters

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3 years ago

3.629 rounded to the nearest tenth?

Nastasia [14]

Answer: Hello, 6

Therefore, the tenths value of 3.629 remains 6. The following table contains starting numbers close to 3.629 rounded to the nearest 10th.

...

Step-by-step explanation:

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3 years ago

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Describe the graph of the quadratic from the original y = x^2 .

Citrus2011 [14]

Answer:

a. Narrower

b. Shifts left

c. Opens up

d. Shifts up

Step-by-step explanation:

The original quadratic equation is y = x²

The given quadratic equation is y = 5·(x + 4)² + 7

The given quadratic equation is of the form, f(x) = a·(x - h)² + k

a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation

The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is narrower

b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry shifts left

c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation opens down

d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, shifts up.

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2 years ago

Solve for x Please help

Elodia [21]

Answer:

The answer to your question is below

Step-by-step explanation:

1) Alternate interior angles measure the same

10x - 10° = 100°

10x = 100° + 10°

10x = 110°

x = 110° / 10°

x = 11°

2) Alternate exterior angles measure the same

x + 99° = 90°

x = 90° - 99°

x = -9°

3) Supplementary angles measure 180°

(6x + 12) + (14x + 8) = 180°

6x + 12 + 14x + 8 = 180°

20x + 20 = 180

20x = 180 - 20

20x = 160

x = 160 / 20

x = 8

4) Alternate exterior angles measure the same

26x + 1 = 131°

26x = 131° - 1°

26x = 130°

x = 130° / 26°

x = 5

5) Consecutive interior angles measure 180°

x + 100 + 85° = 180°

x + 185 = 180

x = 180 - 185

x = -5

6) Corresponding angles measure the same

7x - 7 = 70

7x = 70 + 7

7x = 77

x = 77 / 7

x = 11

7) Supplementary angles measure 180°

(12x + 8) + (100°) = 180°

12x + 8 + 100 = 180

12x + 108 = 180

12x = 180 - 108

12x = 72

x = 72 / 12

x = 6

8) Consecutive interior angles measure 180°

18x + 8x - 2 = 180°

26x = 180 + 2

26x = 182

x = 182 / 26

x = 7

9) Corresponding angles measure the same

27x + 7 = 28x + 3

27x - 28x = 3 - 7

-1x = -4

x = -4/-1

x = 4

10) Consecutive interior angles measure 180°

(x + 107) + (x + 87) = 180

x + 107 + x + 87 = 180

2x + 194 = 180

2x = 180 - 194

2x = -14

x = -14 / 2

x = -7

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3 years ago