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alisha [4.7K]
3 years ago
7

A circle has a diameter of 15 feet. What is the circumference of the circle? (Express your answer using π.)

Mathematics
1 answer:
insens350 [35]3 years ago
5 0
B

The formula for circumference is \pid, or Pi times diameter
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How to solve <img src="https://tex.z-dn.net/?f=log_%7By%7D%285y%29%20%3D%202" id="TexFormula1" title="log_{y}(5y) = 2" alt="log_
Natalija [7]

Answer:

  y = 5

Step-by-step explanation:

Expand the logarithm:

\log_y{(5)}+\log_y{(y)}=2\\\\\dfrac{\log{(5)}}{\log{(y)}}+1=2 \quad\text{change of base formula}\\\\\dfrac{\log{(5)}}{\log{(y)}}=1 \quad\text{subtract 1}\\\\\log{(5)}=\log{(y)} \quad\text{multiply by log(y)}\\\\5=y \quad\text{take the anti-log}

_____

You can also take the antilog first:

  5y = y²

  y(y -5) = 0 . . . . . subtract 5y, factor

  y = 0 or 5 . . . . . y=0 is not a viable solution, so y=5.

5 0
3 years ago
Simon must maintain an average grade of 80% or better in his math class to be eligible to play sports.His math grade so far are
Sophie [7]

Answer:

Let x be the percentage score he got in fifth test,

According to the question,

His score in first, second, third and fourth test are 80%, 84%, 76% and 77% respectively,

Thus, the average of his total score in the five test,

= \frac{80+84+76+77+x}{5}

But, Again according to the question,

The average of the five grades as greater than or equal to 80%

That is,

\frac{80+84+76+77+x}{5}\geq 80

⇒ \frac{317+x}{5}\geq 80

⇒ 317 + x \geq 400

⇒ x\geq 83

Thus, the least score he can get in the fifth test is 83.

3 0
3 years ago
F(x) = x^4- x^4 - 20<br><br> find all zeros by factoring and explaining the steps
Soloha48 [4]
No x-intercept/zero

Step by step

To find x-intercept/zero, substitute f(x)=0

F(x)=-20

0=-20

The statement is false for any value of

X=0

Since there is no solution for f(x)=0, there is no -intercept/Zero

Your welcome:)
5 0
3 years ago
The sum of two numbers is 61. The larger number is 13 more than the smaller number. What are the numbers?
patriot [66]

Answer: 24 and 37

Step-by-step explanation:

Let the numbers be x and y . Also let us pick x as the larger number.

From the first statement :

x + y = 61 ............................ equation 1

From the second statement :

x = y + 13 ............................equation 2

Solving the resulting linear equations by substitution method, substitute x = y + 13 into equation 1, then

x + y = 61 becomes

y + 13 + y = 61

2y + 13 = 61

2y = 48

y = 24

Substitute y = 24 into equation 2 , then

x = y + 3 becomes

x = 24 + 13

x = 37

Therefore the numbers are 24 and 37

5 0
3 years ago
Please help<br><br><br><br> 20 points
stich3 [128]

Answer:

Step-by-step explanation:

wekk you can look and see ther is a plot and it is labled. look at where there are specifically labled at and look at the formula it says the age. the formula is really important. look at how mant websites visited and that will get you your awnser, 12 is the first one look at the amont of units in where the dots are

6 0
3 years ago
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