150% of what number is 600?

40 points!!

vredina [299]

Answer:

The translation is right 3 down 2 which is reflection

Step-by-step explanation:

5 0

3 years ago

Choose all equivalent expression(s).

ElenaW [278]

Given:

The given expression is $a b^{-3 x}$

We need to determine the equivalent expression.

Equivalent expression:

Let us determine the equivalent expression.

The equivalent expression can be determined by simplifying the given expression.

Hence, let us apply the exponent rule to simplify the given expression.

Thus, applying the exponent rule, $a^{-b}=\frac{1}{a^{b}}$ , we get;

$a(\frac{1}{b^{3x}})$

Rewriting the expression, we get;

$a(\frac{1^{3x}}{b^{3x}})$

Simplifying, we get;

$a\left(\frac{1}{b}\right)^{3 x}$

Thus, the equivalent expression is $a\left(\frac{1}{b}\right)^{3 x}$

Hence, Option C is the correct answer.

7 0

3 years ago

Read 2 more answers

Geometry problem help! Please refer to the image below...

Vinil7 [7]

Answer:

A. 1/3

B. √10

C. -1, 1

D. √8, 6

E. congruent and opposite pairs parallel

F. perpendicular, not congruent

G. rhombus, explanation below

Step-by-step explanation:

Hey there! I'm happy to help!

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A.

Slope is the rise over the run. Let's look at F to G.

We are going from -1 to 2 on our x-axis (run), so our run is 3 units.

Our rise is 1 unit as we go from 2 to 3 on the y-axis.

$slope=\frac{rise}{run} =\frac{1}{3}$

This slope is the same for all of the sides.

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B.

We will use the distance formula (which is basically just the Pythagorean Theorem) to calculate the length of each side. Let's go between F and G again, but this distance is the same for all the sides.

$\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+1)^2+(3-2)^2 } \\\\\sqrt{(3)^2+(1)^2 }\\\\\sqrt{9+1 }\\\\\sqrt{10}$

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C.

The diagonals are the lines that connect the non-adjacent vertices.

Our two diagonals are FH and GE.

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FH

We go from x-value -1 to 1 from F to H, so our run is 2.

We go from y-value 2 to 0. so our rise is -2.

$slope=\frac{rise}{run} =-\frac{2}{2} =-1$

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GE

We go from x-value -2 to 2 from E to G, so our run is 4.

We go from y-value -1 to 3. so our rise is 4.

$slope=\frac{rise}{run} =\frac{4}{4} =1$

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D.

Let's use the distance formula on each of our diagonals.

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FH

$\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-1,2)\\\\(x_2,y_2)=(1,0)\\\\\\\sqrt{(1+1)^2+(0-2)^2 } \\\\\sqrt{(2)^2+(-2)^2 }\\\\\sqrt{4+4 }\\\\\sqrt{8}$

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GE

$\sqrt{(x_{2}-x_1)^2+(y_{2}-y_1)^2 } \\\\(x_1,y_1)=(-2,-1)\\\\(x_2,y_2)=(2,3)\\\\\\\sqrt{(2+2)^2+(3+1)^2 } \\\\\sqrt{(4)^2+(4)^2 }\\\\\sqrt{16+16 }\\\\\sqrt{36}\\\\6$

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E.

They are congruent as they all have the same length (√10) and the opposite sides are parallel as they have the same slope (1/3)

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F.

They are perpendicular diagonals as their slopes are negative reciprocals (1 and -1), and they are not congruent as they have different lengths (√8 and 6).

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G.

Parallelogram- quadrilateral with opposite pairs of parallel sides.

Rhombus- a parallelogram with four equal sides

Square- a rhombus with four right angles

We can see that this is a parallelogram as we saw that the opposite sides are parallel due to having the same slope, and the perpendicular diagonals show that as well. This is also a rhombus because if we use that distance formula on all the sides, it will be the same. It is not a square though because it does not have four right angles, so this is a rhombus.

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Have a wonderful day and keep on learning!

8 0

2 years ago

What value of x makes the equation −2x−(−5−4x)=−5(2x−7) true?

Anestetic [448]

Answer:

-2x - (-5 - 4x) = -5(2x - 7)

-2x + 5 - 4x = -5 * 2x - 5 * (-7)

-6x + 5 = -10x - 35

-6x + 5 + 10x = -10x - 35 + 10x

4x + 5 = -35

4x + 5 - 5 = -35 - 5

4x = -40

4x/4 = -40/4

x = 10

Step-by-step explanation:

3 0

2 years ago

If the cost is $3000, and the revenue is $6000, what is the profit margin?

lorasvet [3.4K]

Answer: Wouldn't it be $3000 dollar profit? Because 6000-3000 is 3000

Step-by-step explanation:

3 0

2 years ago