All categories

3 years ago

Rewrite the expression with the given base. 16^x with a base of 2.

Mathematics

1 answer:

olga55 [171]3 years ago

5 0

Keeping in mind that 16 = 2*2*2*2, thus 16 = 2⁴

$\bf 16^x\implies (2^4)^x\implies 2^{4\cdot x}\implies 2^{4x}$

You might be interested in

Joan has a stalk of celery that is 6 inches long. She cuts it into two pieces. Each piece is the same length. How long is each p

Mila [183]

3 inches
5 inches are the answers

5 0

3 years ago

Read 2 more answers

The camp is divided into2 groups. Thereare 14 kids in Camp A and 21 kids in Camp B. If you divided both camps into groups of equ

frez [133]

Answer: 7 students

Step-by-step explanation:

From the question, we are informed that there a camp is divided into2 groups and that there are 14 kids in Camp A and 21 kids in Camp B.

If the camps are divided into groups of equal size, there will be 7 students in a group. This will be gotten from :

Camp A = 14/2 = 7 students

Camp B = 21/3 = 7 students

8 0

3 years ago

In 2010, there were 311 middle schools in Virginia. In 2016, there were 306. By what percent did the number of middle schools in

Nataly_w [17]

Answer:1.6%

Step-by-step explanation: no of students in 2010=311

no of students in 2016=306

difference=311-306

%decrease=5/311 x 100

3 0

3 years ago

Help plz I need the answer real quick???

Fudgin [204]

Answer:

Distance between mall and library is 6.32 miles.

Step-by-step explanation:

Coordinates of the door to the library is at (2, 4) and door to the mall is at (8, 4).

Since, distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

Distance = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

By this formula,

Distance between (2, 4) and (8, 4) will be,

Distance = $\sqrt{(8-2)^2+(2-4)^2}$

= $\sqrt{36+4}$

= $\sqrt{40}$

= 6.32 miles

4 0

2 years ago

2. In a recent survey conducted by the International Nanny Association, 4,176 nannies were placed in a job in a given year. Only

Natali [406]

Answer:

There is a 0.57% probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Desired outcomes:

The number of male nannies selected. 24 of the nannies placed were men. So the number of desired outcomes is 24.

Total outcomes:

The number of nannies selected. 4,176 nannies were placed in a job in a given year. So the number of total outcomes 4176.

Find the probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").

$P = \frac{24}{4176} = 0.0057$

There is a 0.57% probability that a randomly selected nanny who was placed during the last year is a male nanny (a "mannie").

3 0

3 years ago