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3 years ago

Which of the following correctly uses exponents to write "6 factors of 2"? A.62 B.26 C.6 ∙ 2 D.12

Mathematics

1 answer:

kotegsom [21]3 years ago

5 0

Step-by-step explanation:

1. 6 factors of 2 means, 2 multiplied by itself 6 times. It can be written in the form of exponents as 2⁶.

2. $2^m{\cdot} 2^n$

The law of exponent is : $x^a{\cdot} x^b=x^{a+b}$

So,

$2^m{\cdot} 2^n=2^{m+n}$

The correct option is (A).

3. If the power of any number is 0, then the value of that number is equal to 1.

So,

$23^0=1$

Hence, this is the required solution.

You might be interested in

Students at Mendel Middle School are planning a fair for their school's fundraiser. Liam volunteers to help plan the event. The

FinnZ [79.3K]

Answer:

15 hours

Step-by-step explanation:

$x$ is the number of hours that Liam volunteered in the first month

The next month he volunteered $1\dfrac{2}{3}$ times the time he volunteered the first month.

Total time he volunteered in the two months is 40 hours so

$x+1\dfrac{2}{3}x=40\\\Rightarrow x+\dfrac{5}{3}x=40\\\Rightarrow \dfrac{3x+5x}{3}=40\\\Rightarrow x=\dfrac{40\times 3}{8}\\\Rightarrow x=15$

Time he volunteered in the first month is 15 hours.

3 0

3 years ago

Suppose the probability of producing a defective light bulb from a production line is the same over an interval of 90 minutes. W

butalik [34]

Answer:

C) Uniform distribution

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely. In this case, the probability of producing a defective light bulb from a production line is the same over an interval of 90 minutes, so the correct answer is C.

We can calculate the probability.

Uniform probability distribution

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

For this problem, we have that:

Uniformily distributed over a 90 minute interval, that is, between 0 and 90, so $b = 90$ and $a = 0$ .

We want to find $P(X \leq 15) = \frac{15-0}{90-0} = 0.167$

8 0

3 years ago

Help! I need it done ASAP NO LINKS PLEASE I APPRECIATE ALL HELP

a_sh-v [17]

Answer:

slope = $\frac{rise}{run}$ = $\frac{2}{2}$ = 1

y intercept = (0,-1)

4 0

3 years ago

Ana angle measure 79.8 degrees less than the measure of it’s complementary angle what is the measure of each angle

RUDIKE [14]

Answer:

x = 129.8 degrees, y = 50.2 degrees, x + y = 180

Step-by-step explanation:

Let's say you have 2 supplementary angles, x and y

So x + y = 180

if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8

Putting this into our x + y = 180 equation, we get

(y - 79.8) + y = 180

2y - 79.8 = 180

2y = 180 + 79.8

2y = 259.8

y = 259.8/2 = 129.9 degrees.

so x = 129.9 - 79.6 = 50.3 degrees.

See if it worked. x = 129.9 degrees, y = 50.3 degrees, x + y = 180 so we found the correct two angles! :-)

8 0

2 years ago

1 lapin a vu 6 éléphants en allant à la rivière. Chaque éléphant a vu 2 singes aller vers la rivière. Chaque singe tient 1 perro

Stolb23 [73]

Answer:

31 animals

Explanation:

The question is in French language. The translation to English is:

1 rabbit saw 6 elephants while going to the river. Each elephant saw 2 monkeys go towards the river. Each monkey holds 1 parrot in its hands.

How many animals are going to the river?

<h2>Solution</h2>

Animal amount

Rabbit 1

Elephants 6 (the rabbit saw 6 elephants)

Monkeys: 6 × 2 = 12 (2 monkeys per elephant)

Parrots: 12 × 1 = 12 (1 parrot per monkey)

=============================

Total: 1 + 6 + 12 + 12 = 31 animals ← answer

4 0

3 years ago