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4 years ago

What is the value of the expression 3^−4?

Mathematics

2 answers:

Wewaii [24]4 years ago

7 0

$3^{-4}= \cfrac{1}{3^4} =\cfrac{1}{81}$

hjlf4 years ago

4 0

Answer:

Answer is $\frac{1}{81}$

Step-by-step explanation:

Here we can apply the property of exponents with negative exponents

in order to make exponent positive we can take the term in denominator which makes the expression $\frac{1}{3^4}$ and $3^4 means$ 81

therefore answer is $\frac{1}{81}$

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A first number plus twice a second number is 11. Twice the first number plus the second totals 31 find the numbers

Serhud [2]

X + 2y = 11
2x + y = 31

x = 11 - 2y

2(11 - 2y) + y = 31
22 - 4y + y = 31
3y = - 9
y = - 3

x = 11 - 2(-3)
x = 11 + 6
x = 17

5 0

4 years ago

A plant is already 14 centimeters tall, and it will grow one centimeter every month.

Semenov [28]

Answer:

H=M+14

Step-by-step explanation:

When writing an equation you should always look at the problem and try to figure out what it is asking you to solve for. In this case you would be solving for the plants height (H). That will be one side of our equation.

Now we must think about how we would solve for the height. The plant grows 1 centimeter each month so we will put M on the other side. But since it is we will add 14 to that.

<u>H=M+14</u>

4 0

3 years ago

An experiment has four equally likely outcomes: E1, E2, Es, and E.Round your answers to three decimal places. a. What is the pro

V125BC [204]

Answer:

a. 0.25

b. 0.50

c. 0.75

Step-by-step explanation:

P(E1) = 0.25

P(E2) = 0.25

P(Es) = 0.25

P(E) = 0.25

a. Since there are 4 outcomes with the same probability of occurring, the probability of E occurring is:

$P(E) = \frac{1}{4}=0.25$

b. The probability of any two outcomes occurring is twice the probability of a single outcome occurring

$P(two\ outcomes) = 2*P(one\ outcome) = \frac{2}{4}=0.50$

c. The probability of any three outcomes occurring can be written as 100% minus the probability of the remaining outcome occurring

$P(three\ outcomes) = 1-P(one\ outcome) = 1-\frac{1}{4}=0.75$

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4 years ago

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brilliants [131]

Answer:

cjtsitdtiugxjfzursitdpyzot dig totxitzitzitzktzkfzifzifzkfxofzktzkfz

Step-by-step explanation:

7 0

3 years ago

Which of the following is the explicit rule for the sequence -3, 5, 13, 21 ... *

TiliK225 [7]

Answer:

$a_{n}$ = 8n - 11

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

5 - (- 3) = 13 - 5 = 21 - 13 = 8

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 8 , thus

$a_{n}$ = - 3 + 8(n - 1) = - 3 + 8n - 8 = 8n - 11 ← note this is the second option, that is

f(n) = - 3 + 8(n - 1)

7 0

3 years ago