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zavuch27 [327]
3 years ago
8

True or false: to multiply two powers that have the same, add the exponents​

Mathematics
2 answers:
alex41 [277]3 years ago
8 0
The answer is true :) good luck on ur assignment
Orlov [11]3 years ago
5 0

Answer:

True

Step-by-step explanation:

When we multiply exponents with the same base, we add the exponents

a^b * a^c = a^ (b+c)

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In AABC, the measure of 2C=90°, the measure of ZA=57°, and CA = 2.6 feet. Find
zhenek [66]

Answer:

x=4.0036≈4 feet

Step-by-step explanation:

8 0
3 years ago
3(6x+2)<9 solve the inequality
vladimir1956 [14]

3(6x+2) <9

Use distributive property:

18x + 6 < 9

Subtract 6 from both sides

18x < 3

Divide both sides by 18

X < 3/18

Simplify:

X < 1/6

7 0
3 years ago
The price paid for a $15 shirt after a 45% discount is applied​
Tamiku [17]

Answer:

ur mom

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
a taste test asks people from Texas and California which pasta they prefer, brand A or brand B. this table shows the results
ELEN [110]

Answer:

D.

Step-by-step explanation:

Two events A and B are independent when

P(A|B)=P(A),

where P(A|B) is the probability that event A occurs given that event B has occured.

A = randomly selected person is from California

B = randomly selected person preferred brand A

A|B =  being a person from California and preferring brand A.

Hence,

P(A)=\dfrac{150}{275}=\dfrac{6}{11}\approx 0.55\\ \\P(B)=\dfrac{176}{275}=\dfrac{16}{25}=0.64\\ \\P(A|B)=\dfrac{96}{176}=\dfrac{6}{11}\approx 0.55

Since  P(A)=P(A|B), events are independent.

4 0
3 years ago
Read 2 more answers
On 1st January 2020, Laurie invests P dollars in an account that pays a nominal annual interest rate of 5.5%, compounded quarter
andrezito [222]

Answer:

1) The common ratio =  1.055

2) The year in which the amount of money in Laurie's account will become double is the year 2032

Step-by-step explanation:

1) The given information are;

The date Laurie made the investment = 1st, January, 2020

The annual interest rate of the investment = 5.5%

Type of interest rate = Compound interest

Therefore, we have;

The value, amount, of the investment after a given number of year, given as follows;

Amount in her account = a, a × (1 + i), a × (1 + i)², a × (1 + i)³, a × (1 + i)ⁿ

Which is in the form of the sum of a geometric progression, Sₙ given as follows;

Sₙ = a + a × r + a × r² + a × r³ + ... + a × rⁿ

Where;

n = The number of years

Therefore, the common ratio = 1 + i = r = 1 + 0.055 = 1.055

The common ratio =  1.055

2) When the money doubles, we have;

2·a = a × rⁿ = a × 1.055ⁿ

2·a = a × 1.055ⁿ

2·a/a = 2 = 1.055ⁿ

2 = 1.055ⁿ

Taking log of both sides gives;

㏒2 = ㏒(1.055ⁿ) = n × ㏒(1.055)

㏒2 = n × ㏒(1.055)

n = ㏒2/(㏒(1.055)) ≈ 12.95

The number of years it will take for the amount of money in Laurie's account to double = n = 12.95 years

Therefore, the year in which the amount of money in Laurie's account will become double = 2020 + 12..95 = 2032.95 which is the year 2032

The year in which the amount of money in Laurie's account will become double = year 2032.

3 0
3 years ago
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