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guajiro [1.7K]
3 years ago
11

Nicole simplifies 2^a*2^5/2^b to 2^(a-b+5). Which two properties of exponents did she use while simplifying the expression?

Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0

Answer:

D.

Step-by-step explanation:

2^a*2^5/2^b = 2^(a+5)/2^b. using power of a product property.

then

2^(a+5)/2^b= 2^(a+5)*2^-b. Using Negative Exponent property.

Again we can use power of a product property and we get 2^(a+5)*2^-b=2^(a-b+5)

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A car cost $18,000, which is 9/10 of the cost of an apartment. A motorcycle cost 1/5 of the cost of the apartment or 4/5 of the
blagie [28]

Answer:

$1500

Step-by-step explanation:

let the cost of the apartment = x

Hence the cost of the car is \frac{9}{10} \times x

also given the cost of car=18000

Hence

18000= \frac{9x}{10}

x= \frac{18000 \times 10}{9}

x= 2000 \times 10

x= 20000

Motorcylce cost = \frac{1}{5} of Cost of apartment

= \frac{1}{5} \times 20000

= 4000

Also Motorcylce cost=\frac{4}{5} of the cost of 100 soccer balls.

Hence

4000= \frac{4}{5} x (cost of 100 soccer balls.)

(cost of 100 soccer balls.)= \frac{4000 \times 5}{4}

(cost of 100 soccer balls.)= 1000 \times 5

cost of 100 soccer balls= 5000

cost of 1 soccer balls = \frac{5000}{100}

cost of 1 soccer balls = 50

cost of 30 soccer balls = 50 x 30

cost of 30 soccer balls = 1500

Hence the cost of 30 balls is $1500

4 0
4 years ago
a plants height is 1.6 times it age.write an equation for the situation.Tell what each variable you use to represents
Vilka [71]

The answer would be as follows:

h=1.6a

with "h" representing the plant's height and "a" representing the plant's age.

(Same formula written out)

The plant's height=1.6(the plant's age

4 0
3 years ago
Anyone know how to do this?
ASHA 777 [7]

Answer:       Y= 86              X=94

What I did is, the angle minus 86 to give me 94

   

4 0
3 years ago
Let U = {1, 2, 3, 4, 5, 6, 7, 8}, A =
mr_godi [17]

The equivalent set will be <u>A U B = {1, 2, 4, 5, 6, 8}</u>

<h3>Set theory</h3>

Given the following sets

U = {1, 2, 3, 4, 5, 6, 7, 8},

A ={2, 4, 6},

B = {1, 2, 5, 8},C = {1, 3, 7}

Required sets

A U B

Since union means that we are to write out all the values in the set A and B, hence the equivalent set will be;

A U B = {1, 2, 4, 5, 6, 8}

Learn more on union of sets here: brainly.com/question/2166579

#SPJ1

7 0
2 years ago
What is the simplest form for 1.4 over 7?
Nataliya [291]
The simplest form for it is 2/10

To start make the fraction 1.4/7=14/70
Then divide that and you get 0.2=2/10
4 0
4 years ago
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