What is the constant of proportionality?<br> 13<br> 39<br> 42<br> 78

What is the y-coordinate of the point shown in the graph?

murzikaleks [220]

Answer:

3,-7

Step-by-step explanation:

3 0

2 years ago

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Find (if possible) the complement and the supplement of each angle. (if not possible, enter impossible.) (a) π 10 complement rad

blagie [28]

In this question, we have to find the complement and supplement of the given angles .

Complementary angles are those angles whose sum is 90 degree and supplementary angles are those angles whose sum is 180 degree.

So to find the complement and supplement angles, we need to subtract the given angles from pi/2 and pi respectively .

a.

$\frac{ \pi}{10}
\\
complement \ angle = \frac{ \pi}{2} - \frac{ \pi}{10} \\ = \frac{4 \pi}{10} = \frac{ 2 \pi}{5}
\\
Supplement \ angle = \pi - \frac{ \pi}{10} = \frac{9 \pi}{10}$

b.

$\frac{9 \pi}{10}
\\
Complement \ angle = \frac{ \pi}{2} - \frac{9 \pi}{10} = \frac{-4 \pi}{10} = -\frac{2 \pi}{5}
\\
Supplement \ angle = \pi - \frac{9 \pi}{10} = \frac{ \pi}{10}$

4 0

3 years ago

Can someone pls help

galben [10]

Answer:

1st - c

2nd - d

Step-by-step explanation:

jere is your answer

8 0

3 years ago

A 32 ft board is cut into three pieces at a sawmill. The second piece is 5 ft longer than the first and the third piece is 1 ft

Alex_Xolod [135]

Answer:

The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long

Step-by-step explanation:

Let x represent the length of the first piece.

Since the second piece is 5 ft longer than the first, it can be represented by x + 5

Since the third piece is 1 ft longer than the second, it can be represented by x + 6

Create an equation that adds all of these terms up to 32, and solve for x

(x) + (x + 5) + (x + 6) = 32

3x + 11 = 32

3x = 21

x = 7

So, the first piece is 7 ft long.

Using the expressions we created, solve for the lengths of the second and third pieces.

x + 5

7 + 5 = 12

x + 6

7 + 6 = 13

The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long

3 0

3 years ago

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For a 4-unit class like Statistics, students should spend average of 12 hours studying for the class. A survey was done on 24 st

Zanzabum

Answer:

a) 68% of the students spend between 10.2 hours and 15.8 hours on Statistics each week.

b) 95% of the students spend between 7.4 hours and 18.6 hours on Statistics each week.

c) 99.7% of the students spend between 4.6 hours and 21.4 hours on Statistics each week.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 13 hours

Standard deviation = 2.8 hours.

a) 68% of the students spend between hours and hours on Statistics each week.

Within 1 standard deviation of the mean.

13 - 2.8 = 10.2 hours

13 + 2.8 = 15.8 hours

68% of the students spend between 10.2 hours and 15.8 hours on Statistics each week.

b) 95% of the students spend between hours and hours on Statistics each week.

Within 2 standard deviations of the mean

13 - 2*2.8 = 7.4 hours

13 + 2*2.8 = 18.6 hours

95% of the students spend between 7.4 hours and 18.6 hours on Statistics each week.

c) 99.7% of the students spend between hours and hours on Statistics each week.

Within 3 standard deviations of the mean

13 - 3*2.8 = 4.6 hours

13 + 3*2.8 = 21.4 hours

99.7% of the students spend between 4.6 hours and 21.4 hours on Statistics each week.

8 0

3 years ago

What is the constant of proportionality? 13 39 42 78