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3 years ago

13

Suppose you need to remove a nail from a board by using a claw hammer. What is the input distance for a claw hammer if the outpu

t distance is 2.0 cm and the mechanical advantage is 5.5?

1 answer:

klemol [59]3 years ago

3 0

<span>X/2.0=5.5
So input or x is 11
Hope it helps!!</span>

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Sal built a card table with a top area of 900 square inches. What is the length, in inches, of one side of the table?

Klio2033 [76]

Answer:
30

Explanation:
It’s pretty simple actually, you just need to get the square root of 900 by seeing what two equal numbers give you 900. The answer in this scenario would be 30 since 30x30 would give you 900. Since it is a square all sides are equal and your answer would only be 30.
Hope this helped you :)

7 0

3 years ago

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Help this is really hard

Agata [3.3K]

(2^8 *3^-5* 6^0)^-2 * ((3^-2)/(2^3))^4 * 2^28

anything to the 0 power is 1

(2^8 *3^-5* 1)^-2 * ((3^-2)/(2^3))^4 * 2^28

using the power of power property to take the power inside

(2^(8*-2) *3^(-5* -2) * (3^-2*4)/(2^3*4) * 2^28

simplify

2^ -16 * 3^10 * 3^-8 /2*12 * 2^28

get rid of the division by making the exponent negative

2^-16 * 3^10 * 3^-8 *2*-12 * 2^28

combine exponents with like bases

2^(-16-12+28) * 3^(10-8)

2^(0) *3^2

anything to the 0 power is 1

1*9

9

5 0

3 years ago

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You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed

k0ka [10]

Answer:

625 ft^2

Step-by-step explanation:

Given

$P = 100$ --- perimeter

Required

The largest area

The perimeter is calculated as:

$P = 2 * ( L + W)$

So, we have:

$2 * ( L + W) = 100$

Divide both sides by 2

$L + W = 50$

Make L the subject

$L = 50 - W$

The area is calculated as:

$A= L * W$

Substitute $L = 50 - W$

$A= (50 - W) * W$

Open bracket

$A = 50W - W^2$

Differentiate with respect to W

$A' = 50 -2W$

Set to 0; to get the maximum value of W

$50 - 2W = 0$

Collect like terms

$-2W = -50$

Divide by -2

$W = 25$

So, the maximum area is:

$A = 50W - W^2$

$A = 50 * 25 - 25^2$

$A = 1250 - 625$

$A = 625$

3 0

2 years ago

Who’s right? And why?

kvasek [131]

Answer: Raymond is correct

The DJ charges $75 an hour.

=================================================

Explanation:

x = number of hours

y = total cost

The DJ does a 3-hour event for $275. This means one point is (x,y) = (3,275)

Another point is (5,425) because a 5-hour event costs $425.

Let's find the slope of the line through these two points.

$(x_1,y_1) = (3,275) \text{ and } (x_2,y_2) = (5,425)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{425 - 275}{5 - 3}\\\\m = \frac{150}{2}\\\\m = 75\\\\$

The slope is 75, meaning that each time y goes up by 75, x goes up by 1.

Flipped around it means each time x goes up by 1, y goes up by 75.

This means each time we add on an extra hour, the cost goes up by $75.

The DJ charges $75 an hour. Raymond is correct.

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2 years ago

Ray is x years old. His brother Ron is y years older than Ray.

Daniel [21]

The sum will be x+y because their ages are variables.

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3 years ago

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