All categories

4 years ago

PLEASE HELP FAST Convert the following equation to logarithmic or exponential form:

Mathematics

1 answer:

olga nikolaevna [1]4 years ago

4 0

Answer:

Step-by-step explanation:

I interpret your problem as log49(7)=1/2

This would be the same as 49^1/2=7 because taking a number to the 1/2 power is the same as taking its square root [sqrt(49)=7].

You might be interested in

Average rate of change

Nana76 [90]

The average rate of change has a relationship with slopes. In this way, we can write the slope of a line as follows:

$Slope=\frac{Change \ y}{Change \ x}$

To find the Average Rate of Change (ARC), we need to compute the following:

$ARC=\frac{s_{2}-s_{1}}{y_{2}-y_{1}}=slope \\ \\ where: \\ \\ s_{2}: Number \ of \ students \ in \ 2011 \\ s_{1}: Number \ of \ students \ in \ 2001 \\ \\ y_{2}: Year \ 2011 \\ y_{1}: Year \ 2001$

So:

$ARC=\frac{305-775}{2011-2001}=-47$

As you can see we have a negative sign. This means that the enrollment at the college has been decreasing at a rate of 47 students per year.

8 0

3 years ago

Evaluate b^2 c^-1 for b = 8 and c = -4.

DedPeter [7]

Answer:

8ab-2c2 thats the answer Step-by-step explanation:

4 0

4 years ago

-2|2.2x - 3.3| = -6.6

zhuklara [117]

Answer:

x=3,0

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

5 0

3 years ago

Kyle measured the length, width, and height of a donut box after all the donuts had been eaten. His measurements are shown below

oee [108]

Answer:

1/6 ft³

Step-by-step explanation:

The volume of a box can be found using the following equation:

Volume of box = width x length x height.

It is given to us that:

length = 1 ft.

width = 2/3 ft.

height = 1/4 ft.

Multiply the 3 measurements together:

V (volume) = 1 x 2/3 x 1/4

V = (1 * 2 * 1)/(3 * 4) = 2/12 ft³ , or if simplified 1/6 ft³

1/6 ft³ is your answer.

4 0

3 years ago

Read 2 more answers

Evaluate using the finite geometric sum formula

Sever21 [200]

Answer:

$S_9=-18.703$ .

Step-by-step explanation:

The given series is,

$\sum_{i=1}^9(-\frac{1}{2})^{i-1}$

When we substitute $i=1$ , we get the first term, which is $a_1=-28(-\frac{1}{2})^{1-1}$

This implies that,

$a_1=-28(-\frac{1}{2})^{0}$

$a_1=-28(1)=-28$ .

The common ratio is

$r=-\frac{1}{2}$

The finite geometric sum is given by the formula,

$S_n=\frac{a_1(r^n-1)}{r-1} , -1\:$ .

Since there are 9 terms, we find the sum of the first nine terms by putting $n=9$ in to the formula to get,

$S_9=\frac{-28((-\frac{1}{2})^9-1)}{-\frac{1}{2}-1}$ .

$S_9=\frac{-28((-\frac{1}{512})-1)}{-\frac{3}{2}}$ .

$S_9=\frac{-28(-\frac{513}{512})}{-\frac{3}{2}}$ .

$S_9=-28(\frac{171}{256})$ .

$S_9=-\frac{1197}{64}$ .

$S_9=-18.703$ .

The correct answer is B

4 0

3 years ago

Read 2 more answers