All categories

3 years ago

Please help me solve the expression for “n”

Mathematics

1 answer:

Bingel [31]3 years ago

5 0

Answer:

n = 2

Step-by-step explanation:

In order for the ratio to have a value of 1, the sum of exponents in the numerator must equal the sum of exponents in the denominator:

n + 7 = 9

n = 9 -7 . . . . . . subtract 7 from both sides of the equation

n = 2

___

Alternatively, you can simplify the given expression:

$\dfrac{9^n(9^7)}{9^9}=1=\dfrac{9^n}{9^2}$

Hopefully, it is clear to you that the value of n must be 2 in order to make the numerator equal to the denominator.

You might be interested in

Help me with this question

Colt1911 [192]

Step-by-step explanation:

just look at the graphic : what value do we have on the cost side, when we have 1 pounds on the amount side ?

all the answer options specify a price per pound. that is why we only need to focus on the price for one pound.

we see in the graphic, that for 1 pound the price is $4.

just to make sure, we can also work with the directly specified point (0.5, 2), which means that 0.5 pounds cost $2.

and the function is clearly a straight line.

so, every point on the function has the same y/x ratio (slope).

therefore,

2/0.5 = 4

now, what point with x=1 has the same ratio ?

y/1 = 4

y = $4

perfect, the results are identical. so, $4 per pound is the correct answer.

4 0

3 years ago

a scuba diver descends 48 feet in 4 min. What is the divers average change in position per min. relative to where she started?

Black_prince [1.1K]

With this you need to find the unit rate so divide 48 by 4 to get 12, so the scuba diver descended 12 ft. per min.

6 0

3 years ago

Read 2 more answers

Which ones are linear & which are exponential ?

AveGali [126]

Answer:

11 - exponential, 12-linear, 13 exponential, 14 exponential

Step-by-step explanation:

5 0

3 years ago

A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 conta

Archy [21]

Answer:

$\dfrac{11}{30}$

Step-by-step explanation:

Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.

The probability to select red marble is $\dfrac{3}{5}=0.6.$

Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.

The probability to select red marble is $\dfrac{3}{10}=0.3.$

Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.

The probability to select red marble is $\dfrac{1}{5}=0.2.$

The probability to choose each urn is the same and is equal to $\frac{1}{3}.$

Thus, the probability that the marble is red is

$\dfrac{1}{3}\cdot 0.6+\dfrac{1}{3}\cdot 0.3+\dfrac{1}{3}\cdot 0.2=\dfrac{1.1}{3}=\dfrac{11}{30}.$

4 0

3 years ago

It is six o'clock in Germany. What time is it in New York?

Ludmilka [50]

Answer:

It is twelve o'clock (AM) in New York.

Step-by-step explanation:

EST (New York's Timezone) is 6 hours behind Germany's time (CET)

8 0

4 years ago