3 to the 7th power times 3 to the power of negative 4

Answers

Answer 1

Answer:
${3}^(7) * {3}^( - 4)$
Multiplying to exponents is the same as adding their powers which will be equal to
${3}^(3)$
Which is equal to
3 × 3 × 3
9 × 3
27

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Answers

a less than or equal to 36% hope i am brainliest i need it

Answer:

Step-by-step explanation:

Which property of addition is shown below? a + bi + c + di = a + c + bi + di

Answers

I think the property of this addition problem is commutative property

The train ride at the zoo covers a distance of 2 1/2 miles in 1/3 of an hour. How many miles per hour does the train go? How far can the train travel in 3 hours? show your work.

Answers

7.5 mph in 3 hours the train can travel 22.5 miles. Take 2.5 and times it by 3 to get the mph, then multiply that answer by 3 again to get the total miles in 3 hours

A piece of wire 7/8 meter long broke into two pieces.one piece was 1/4 meter long. How is the other piece

Answers

Answer:

The second piece is 5/8 meters.

Step-by-step explanation:

To find the length of the second piece of wire, subtract the length of the first piece of wire from the total.

7/8 - 1/4

Get a common denominator:

7/8 - (1/4) *2/2

7/8 - 2/8

5/8

The second piece is 5/8 meters.

Express each number in standard form
-9.5x10-3
This is 10 to the -3 power

Answers

$-9.5*10^(-3)=-9.5*0.001=-0.0095$

Find the values of cosΘ and tanΘ, given that sinΘ = 8/9 and Θ is in quadrant I

Answers

$sin^2 \alpha +cos^2 \alpha =1\ \ \ and\ \ \ tan \alpha = \frac{\big{sin \alpha }}{\big{cos \alpha }} \n\nsin \alpha = (8)/(9)\n\n \Rightarrow\ \ \ ((8)/(9))^2+cos^2 \alpha =1\ \ \ \Rightarrow\ \ \ cos^2 \alpha =1- (64)/(81) \ \ \ \Rightarrow\ \ \ cos^2 \alpha = (17)/(81) \n\n \alpha \ \in\ (0^0;90^0)\ \ \ \Rightarrow\ \ \ cos \alpha >0\ \ \ \Rightarrow\ \ \ cos \alpha = ( √(17) )/(9) \n\n$

$tan \alpha = (8)/(9): ( √(17) )/(9) =(8)/(9)\cdot (9)/(√(17))= (8)/(√(17))= (8\cdot √(17))/(√(17)\cdot √(17))=(8\cdot √(17))/(17)$

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The average annual salary of the employees of a company in the year 2005 was ninety thousand dollars. It increased by the same factor each year and in 2006, the average annual salary was $91,200. Let f(x) represent the average annual salary, in thousand dollars, after x years since 2005. Which of the following best represents the relationship between x and f(x)?f(x) = 91.2(1.013)x f(x) = 90(1.013)x f(x) = 91.2(2.2)x f(x) = 90(2.2)x

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