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2 years ago

Which choice is the equation of a line that has a y-intercept of 7 and is parallel to the line represented by this equation?

Mathematics

1 answer:

Eddi Din [679]2 years ago

6 0

A
Lines that are parallel have the same slope number next to X

Y= 5x+9
5 is the slope and 9 is the y intercept

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Howard is standing 109 yards from the bottom of a water reservoir. He estimates that the angle of elevation to the top of the wa

pav-90 [236]

Answer:

70.1 yards

Step-by-step explanation:

See the attached diagram.

Let AC is the reservoir with A as the bottom and C is the top.

Now, B is the position of Howard which is 109 yards from A i.e. AB = 109 yards.

Again, the angle elevation from B to C is 50 degrees.

So, ∠ ABC = 50°

Now, $\cos 50 = \frac{AB}{BC} = \frac{109}{x}$

⇒ x = 109 cos 50 = 70.1 yards.

Therefore, the distance between the top of the reservoir and Howard i.e. BC is equal to 70.1 yards. (Answer)

8 0

2 years ago

The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represe

insens350 [35]

Using the discrete probability outputs given in the attached table ; the probability values of having exactly 6 ; and having 6 or more girls are :

P(X = 6) = 0.111

P(X ≥ 6) = 0.1

The probability of having exactly 6 girls can be defined as :

P(X = 6) = 0.111 (from the discrete probability table)

2.)

The probability of having 6 or more girls can be defined as :

P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8)

From the table attached :

P(X ≥ 6) = 0.111 + 0.014 + 0.003 = 0.1

Therefore, the probability of having exactly 6 girls is 0.111 while the probability of having 6 or more girls is 0.1

Learn more : brainly.com/question/18153040

5 0

2 years ago

Determine the graph

Alexxandr [17]

The answer should be A.

5 0

3 years ago

O is the midpoint of segment FG. FO=3x+17, OG=7x-15. 98 points

AlladinOne [14]

O is the midpoint so both sides FO and OG need to equal each other.

3x + 17 = 7x - 15

Subtract 3x from both sides:

17 = 4x -15

Add 15 to both sides:

32 = 4x

Divide both sides by 4:

x = 32/4

X = 8

Now you have the value of X, solve for the lengths:

FO = 3x +17 = 3(8) +17 = 24 +17 = 41

OG = 7x -15 = 7(8) -15 = 56-15 = 41

Total length would be 41 + 41 = 82

5 0

2 years ago

Read 2 more answers

Lars deposited $50 into a savings account for which interest is compounded quarterly. According to the rule of 72, what interest

Ivanshal [37]

Answer: C 2.5%

Step-by-step explanation:

The "Rule of 72" is a easy way to calculate how much time an investment will take to double with a given fixed annual rate of interest.

Just we have to divide 72 by the annual rate of return(r), we can get a rough estimate of how many years it will take to double the initial investment .

Now, in given problem: Let 'r' be the rate of interest

Time to double the amount=29 years

Thus by rule 72 ,

$\frac{72}{r}=29\\\Rightarrow\ r=\frac{72}{29}=2.4827\%\approx2.5\%$

Therefore, C is the right option.

3 0

2 years ago

Read 2 more answers