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3 years ago

What is the value of 5^4/5^6?

Mathematics

1 answer:

vesna_86 [32]3 years ago

4 0

Answer:

$5^{-2}$

Step-by-step explanation:

When dividing with the same bases (but different exponents), the quotient will have the same base, but the power will be the result of the two powers subtracted..

$\frac{5^{4} }{5^{6} } = 5^{-2}$

**Think of it this way--> 4 - 6 = -2,so just keep the bases and change the exponent.

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F(x)= x+3<br> h(x)= x^2+4<br><br> Find (f•h)(x)

Dmitrij [34]

Answer:

x³+3x²+4x+12

Step-by-step explanation:

you are going to write both equations and distribute. if there are like terms, combine them and then put it order.

(x + 3) × (x² + 4)

x³ + 4x + 3x² + 12

when putting in order, you want the highest power to the left and then the lowest power to the right.

x³+3x²+4x+12

4 0

4 years ago

The price of a 32 pack of water at heb is $2.98. The tax rate is 8% what is the final cost of the water

SpyIntel [72]

Answer:

The final cost of the water is $3.22.

Step-by-step explanation:

In order to find the answer, you have to add the tax to the price of the 32 pack of water by calculating 8% of the price and adding that amount to it.

2.98*8%=0.24

2.98+0.24=3.22

According to this, the answer is that the final cost of the water is $3.22.

3 0

3 years ago

The length of a hypotenuse of a 30-60-90 triangle is 4. Find the longest leg.

const2013 [10]

check the picture below.

5 0

3 years ago

Read 2 more answers

The length of a rectangle is 1 inch less than twice the width. the area is 21 inches^2 what is the length?

ale4655 [162]

Hi.

Formula for area: A = 2l + 2w, where l is the length and w is the width.

Given information:
• l = 2w - 1
• A = 21 in^2

We can plug in our values accordingly and solve for w.

A = 2l + 2w
21 = 2(2w - 1) + 2w
21 = 4w - 2 + 2w
23 = 6w - 2
23 = 6w
3.83 = w

Plug 3.83 for w into 2w - 1 to find length.

2(3.83) - 1
7.66 - 1
6.66

Finally, check your work by plugging your values into the original equation.

21 = 2(6.66) + 2(3.83)
21 = 13.32 + 7.66
21 = 20.98

Answer:
The length is approximately 6.66 inches.

4 0

3 years ago

A radio transmission tower is 170 feet tall. how long should a guy wire be if it is attached 15 feet from the top and is to make

beks73 [17]

The image of the given scenario is attached below.

A right angled triangle is formed, with one angle equal to 27 degrees. The perpendicular side is 155 and we are to find the length of guy wire which makes the hypotenuse of the right angled triangle.

Using the formula of sine, we can write:

$sin(27)= \frac{155}{x} \\ \\ 
x= \frac{155}{sin(27)} \\ \\ 
x=341$

Rounding to nearest whole number, the length of the guy wire that must be attached is 341 feet.

5 0

3 years ago