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3 years ago

What is 1 divided by 5^-2? Please give clear explanation. thanks.

1 answer:

7 0

1 / 5^-2

First, let's work out the denominator.
5^ -2 = 1/25. When an exponent is negative, it means to put a 1 over the product. Like we did earlier.

Now we have 1 / (1/25).

1 / (1/25)
Divide 1 by 25.
1 / 0.04
Divide 1 by 0.04
25

The answer is 25!

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A custom rectangular tabletop has a length that is twice it’s width, and the tabletop measures 76 inches on its diagonal. What a

Sunny_sXe [5.5K]

Answer:

<em>The dimensions of the tabletop: Length= 67.976... inches and Width= 33.988... inches and the perimeter will be 203.929... inches.</em>

Step-by-step explanation:

Suppose, the width of the rectangular tabletop is $x$ inch.

As the tabletop has a length that is twice it’s width, so the length will be: $2x$ inch.

The tabletop measures 76 inches on its diagonal.

<u>Formula for length of diagonal of rectangle</u>: $d=\sqrt{l^2+w^2}$

So, the equation will be..........

$76=\sqrt{(2x)^2+ x^2}\\ \\ 76=\sqrt{4x^2+x^2} \\ \\ 76=\sqrt{5x^2} \\ \\ 5x^2= 76^2= 5776\\ \\ x^2= \frac{5776}{5}=1155.2 \\ \\ x= \sqrt{1155.2} =33.988...$

Thus, the width of the tabletop is 33.988... inches and the length will be: (2×33.988...) = 67.976... inches.

The perimeter will be: 2(33.988...+ 67.976...) inches = 203.929... inches.

5 0

3 years ago

What is the Axis of Symmetry in Parabolas?

Gnesinka [82]

The axis of symmetry always passes through the vertex of the parabola. The x-coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y = ax 2 + bx + c, the axis of symmetry is a vertical line.

3 0

3 years ago

How do I find the correct answer

lys-0071 [83]

I think it is a because it shows us the points that the students made. I also think it is d. But I think it is mainly a.

-Dhruva;)

3 0

3 years ago

Billy started $68.00 in his checking account. he went out to dinner. he now has $47.50. how much money did he spend on dinner?

emmasim [6.3K]

Correct Option: D) $20.50

Step-by-Step Explanation:

Starting cash = $ 68.00
Balance cash = $ 47.50

We can obtain the amount of money he spent on dinner by subtracting the Balance cash from the Starting cash:

= 68 - 47.50
= 20.50

Therefore, Billy spent $20.50 on Dinner.

5 0

2 years ago

Read 2 more answers

Which expression is not equal to the expression shown

Licemer1 [7]

Answer:

$3^{7}$

Step-by-step explanation:

$3^{3} \div 3^{-4}$

$3^{3-(-4)}$

$=3^{7}$

3 0

3 years ago