Of 40% of the selling price of a $65 sweater is profit,then how many dollers profit does the store make when the sweater is sold

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Answer 1
Answer: If 40% of the price is profit, then our answer will be 40% of $65.

40% x $65 = 0.4 x $65 = $26

The store profits $26

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20: 5/3 in lowest terms

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I think that’s the lowest terms unless you want to get into decimals
1 2/3. Is the answer

Solve for t in the equation below

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Anything raised to the zero is 1... so it doesn't really matter what is in the parentheses,  because it's all raised to the zero and equals 1.  That means..

(t^1/3 - t^5/3 + t^3/4)^0 = 2 root t

is the same as

1 = 2 root t             square both sides
1^2 = (2 root t)^2
1 = 4t                     divide each side by 4

1/4 = t

H(x) = x3 + 7
Determine whether the function is one-to-one.

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Answer:

we conclude that the function is one-to-one.

Step-by-step explanation:

A function will a one-to-one function if it

  • passes the vertical line test to make sure it is indeed a function, and
  • also a horizontal line test to make sure it is it one-to-one.

In other words,

The function will be one-to-one if it passes the vertical line test, and also if the horizontal line only cuts the graph of the function in one place.

The reason is that there must be only one x-value for each y-value.

Given the function

h\left(x\right)\:=\:x^3\:+\:7

Have a look at the attached graph.

  • The red portion represents the graph of the function h\left(x\right)\:=\:x^3\:+\:7.
  • The green portion represents the graph of x=2 which is basically a vertical line test. Vertical line indicates that it cuts the cuts the graph of the function in one place. So it is clear that h\left(x\right)\:=\:x^3\:+\:7 is indeed a function.
  • The blue line represents the graph of y=9, which is basically a horizontal line test. Horizontal line indicates that it cuts the cuts the graph of the function in one place. So it is clear that h\left(x\right)\:=\:x^3\:+\:7 is a one-to-one function, as there is only one x-value for each y-value.

Therefore, we conclude that the function is one-to-one.

Please could someone help me with these questions sorry about the scribbling on one page I got stuck

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question 4
So the polygon has 10 sides, to calculate how much all the interior angles are summed up, you have to see how many triangles you can fit into the polygon (this works for any polygon), in this case it is 8 (see file attached). Therefore you do 8 x 180 = 1440, so the overall angle is 1440º. Now you do 1440 : 10, because there are 10 equal angles, and that is 144º. 
Every angle has 144º

question 5
Bearings are always measured clockwise and you always start north. You are at point A and want to go to point B, how much do you have to turn (clockwise!!)? 
345º

Please help in Math!? What value of y makes the equation true? A.
–28

B.
–21

C.
21

D.
28

Answers

(-7)/(12) = (y)/(-36)

First, simplify (y)/(-36) to - (y)/(36) / Your problem should look like: - (7)/(12) = -(y)/(36)
Second, multiply both sides by 36. / Your problem should look like: -21=-y
Third, multiply both sides by -1. / Your problem should look like: 21 = y
Fourth, switch your sides. / Your problem should look like: y = 21

Answer: C) 21

A street light bulb is fixed on a pole 6m above the level of the street. If a women of height 1.5m casts a shadow of 3m, find how far is she away from the base of the pole

Answers

The woman's shadow length is 2 times her height, so her distance from the light is 2 times the difference in height between her and the light bulb.

2×(6 m - 1.5 m) = 9 m


_____
A diagram can help you see the similar triangles.