Convert the exponential function to the form indicated. (Round all coefficients to four significant digits.) f(x) = 2.5 e^(-0.7 x); f(x)=A b^x A = ? b = ?

Answers

Answer 1

Answer: $f(x)=2.5e^(-0.7x)=2.5\left(e^(-0.7)\right)^x\n\nA=2.5\n\nb=e^(-0.7)$

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Find the domain and range, and compare it with the function y=1/x
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Which expressions would complete this equation so that it has infinitely many solutions?8 + 2(8x – 6) =
Choose exactly two answers that are correct
A. 2(4x + 7)
B. 9x – 10
C. 16x – 4
D. 4(4x – 1)

Answers

A) 8 + 2(8x - 6) = 2(4x + 7) is $x = (9)/(4)$
B) 8 + 2(8x - 6) = 9x - 10 is $-(6)/(7)$
C) 8 + 2(8x - 6) = 16x - 4 has infinite solutions.
D) 8 + 2(8x - 6) = 4(4x - 1) has infinite solutions.

Answer: C and D

The ratio of the radii of two circles is 4:9. What is the ratio of their circumferences?

Answers

It will be 4:9 as well.
Circumference = 2πr,
r1 : r2 = 4:9 so this means that 2πr1 : 2πr2 = 4:9, because 2π = constant

4/9; ratio is still the same
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What is the number pattern from 10 to 30 to 90 to? and ? to?

Answers

10 - 30- 90-270 - 810

10x3
30x3
I am pretty sure that's right

How do I show six less than a quotient of a number and two equals fifteen

Answers

x/2 - 6 = 15

That's how you write it out.

x/2 - 6 = 15
x/2 = 15 + 6
x/2 = 21
x = 21 * 2
x = 42

Answer: 42

First you add 6 on both sides to get x ÷ 2 alone giving you x ÷ 2 = 21. Then to get x alone you have to mutliply 2 on both sides giving you the answer of 42.

$(x)/(2)-6=15$

What number has the same value as 14 tens?

Answers

14 tens is equal to 140, and here's why:

14 times 10 is 140,
that's like adding 14 tens to each other

Of 130 patients in a hospital, 70% of them are checked in for the flu. How many patients are not checked in for the flu?

Answers

First let's find the number of patients checked in:
$x = (130)0.70 \n x = 91$
we know that 91 patients were checked in, so we can find how many were not:
$z = 130 - 91 \n z = 39$
39 patients were not checked in for the flu.

39!

Explanation:

70% of 130 is 91

70 x 130/

100

= 91 you do 70 time 130 divided by 100 which gets you to 91 so that means 91 patience have the flu to find how many don't have the flu you subtract 130-91 that gives you 39!

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