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serious [3.7K]
3 years ago
6

Write the equation of an exponential function that passes through the points (2,48) and (5,750).

Mathematics
1 answer:
Otrada [13]3 years ago
7 0
Ok, so the function form is y = a * bx.
Substitute in the values:
750 = a * b5
and
48 = a * b2
Then divide the two equations:
750/ 48 = (a * b5) / (a * b2)
So:
15.625 = b3
Take the cube root of both sides:
2.5 = b
Now, substitue b into one of the equations (the one with 48 has smaller numbers and is easier to work with.)
48 = a * 2.52
Simplify.
48 = a * 6.25
Divide both sides by 6.25
7.68 = a
Now substitute in a and b to write the exponential function:
y = 7.68 * 2.5x
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4n+3< 6n+8 -2n what is n
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Answer:

<em />8>3<em />

Step-by-step explanation:

STEP 1: <em>Rewrite so   n is on the left side of the inequality.</em>

6n+8-2n>4n+3

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4n+8>4n+3

STEP 3: <em>Move all terms containing  n  to the left side of the inequality.</em>

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6 0
3 years ago
Find the measure for angle f<br><br> 46<br> 34<br> 122<br> 58
xxMikexx [17]

Answer:

\angle f = 122\degree

Step-by-step explanation:

\angle d = 58\degree (vertical angles)

\angle f+\angle d= 180\degree

(Interior angles on the same side of transversal)

\angle f+ 58\degree = 180\degree

\angle f = 180\degree-58\degree

\huge \orange {\boxed {\angle f = 122\degree}}

5 0
3 years ago
Of all postsecondary degrees awarded in the United States, including master's and doctorate degrees, 21% are associate's degrees
icang [17]

The conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57.14%.

Given that of all postsecondary degrees awarded in the United States, including master's and doctorate degrees, 21% are associate's degrees, 58% are earned by people whose race is White, and 12% are associate's degrees earned by Whites, to determine what is the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, the following calculation should be performed:

  • A cross multiplication must be applied to obtain the percentage of whites who have obtained an associate degree.  
  • 21 = 100
  • 12 = X
  • 12 x 100/21 = X
  • 1200/21 = X
  • 57.14 = X

Therefore, the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57.14%.

Learn more in brainly.com/question/795909

5 0
2 years ago
Can I get help please!
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3 years ago
Find the measure of an angle whose measure is 60 degrees more than the measure of its complement
Natasha2012 [34]
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6 0
3 years ago
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