Andrea put 2 quarts of water and 1 cup of lemon juice in a pitcher How many total cups of liquid are in the pitcher

1. What is the value of the expression 3^-4?. a) -81. b) -12. c) -1/81. d) 1/81. 2. What is the value of the expression 1/4^3?.

hjlf

Answer:

1.

Option d is correct

2.

Option c is correct

3.

Option a is correct

4.

Option d is correct

5.

Option c is correct

Explanation:

Using exponent rule:

$a^{-n} = \frac{1}{a^n}$

1.

Given the expression:

$3^{-4}$

Apply the exponent rules:

$\frac{1}{3^4} = \frac{1}{81}$

Therefore, the value of the given expression is, $\frac{1}{81}$ .

2.

To find the value of the expression $\frac{1}{4^3}$

then;

$\frac{1}{4^3} = \frac{1}{64}$

Therefore, the value of the given expression is, $\frac{1}{64}$ .

3.

Find the the value of the expression $\frac{2}{4^3}$

then;

$\frac{2}{4^3} = \frac{2}{64}$

Simplify:

$\frac{1}{32}$

Therefore, the value of the given expression is, $\frac{1}{32}$ .

4.

Given the expression:

$K^{-3} = \frac{1}{27}$

we can write this as:

$K^{-3} = \frac{1}{3^3}$

Apply the exponent rules:

$K^{-3} = 3^{-3}$

On comparing both sides we have;

K = 3

Therefore, the value of K is, 3

5.

Given the expression:

$3^N= \frac{1}{81}$

we can write this as:

$3^N= \frac{1}{3^4}$

Apply the exponent rules:

$3^N = 3^{-4}$

On comparing both sides we have;

N = 4

Therefore, the value of N is, -4

3 0

4 years ago

Read 2 more answers

Does anyone know the answer?

Helen [10]

The answer would be 60, if you add 13,15, and 12 up you get 40. Those numbers would be considered 2/3 of all the marbles. Divide 40 by 2 to get how many marbles is 1/3. You would get 20 being a third if the marbles. Add that to the original 40 and you’ll get a total of 60.

5 0

3 years ago

Read 2 more answers

Part A: Abe rented a bike at $36 for 5 days. If he rents the same bike for 8 days, he has to pay a total rent of $48.

lawyer [7]

(5,36)(8,48)
slope = (48 - 36) / (8 - 5) = 12/3 = 4

y = mx + b
slope(m) = 4
(5,36)...x = 5 and y = 36
now sub and find b
36 = 4(5) + b
36 = 20 + b
36 - 20 = b
16 = b

equation is : y = 4x + 16.....in standard form : 4x - y = -16 <==
=======================
function notation : f(x) = 4x + 16
=======================
x axis will be ur hrs....I would label them at intervals of 1
y axis will be total cost of renting the bike......as far as the intervals...not sure how to label them.....sorry....I wanna say intervals of 2...but am not sure

y = 4x + 16
slope = 4
y int = (0,16)
x int = (-4,0)

so start at (-4,0)....and since ur slope is 4, go up 4 and to the right 1...keep doing this and u will cross the y axis at (0,16)

7 0

4 years ago

Read 2 more answers

What polynomial identity should be used to prove that 252 = (20 5)2?

sleet_krkn [62]

25² = ( 20 + 5 )² This is the square of a binomial:
( a + b )² = a² + 2 a b + b²
625 = 20² + 2 · 20 · 5 + 5²
625 = 400 + 200 + 25
625 = 625 ( correct )

6 0

3 years ago

Who ever helps me on this question i will give them 1000 points

Delvig [45]

Answer:

whats the question or is this a joke

3 0

2 years ago