The radius of the earth’s orbit is 150,000,000,000 meters. What is this number in scientific notation?

Answers

Answer 1
Answer: it would be 1.5 * 10 to the elevnth  power
Answer 2
Answer: 1.5 x 10^11 would be the answer


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-3=h+8 divided by 2 (HELP)

Answers

If whole right side divided by 2

-3=h+8 divided by 2
Divide right side 2
-3=h/2+4
Subtract 4 from both sides
-7=h/2
Multiply 2 on both sides
Final Answer: -3.5=h

If only the 8 is divided by 2

-3=h+8 divided by 2
Divide 8 by 2
-3=h+4
Subtract 4 from both sides
Final Answer: -7=h

If it is the answer of the left side divided by two the answer is -11/8. If it is 8 divided by then the answer is -7

Maria bought several post stamps and paid one dollar. There are stamps costing five cents, two cents, and one cent in the post office. She bought 10 times as many one-cent stamps as two-cent stamps, while the rest of the stamps she bought were five-cent stamps. How many one-cent stamps did Maria buy?

Answers

Maria bought 50 one-cent stamps.

Point P has coordinates (2,3). Point Q is symmetric to point P with respect to the line x = 4. What are the coordinates of point Q. Im wondering how you solve this. I think it's (3,6) A. (2,5)
B. ( 5,3)
C. (3,6)
D. (6,3

Answers

You are given the first point (2, 3) and a line x = 4. If you go ahead and graph these, it makes it a little more clear when they say that point p is symmetric with point Q with respect to the line x = 4.

Line x = 4 is the line of symmetry, so point Q is reflected across it. Point p has an x value of 2 (2 away from the line of symmetry, so point Q's x value has to be 2 away on the other side... 6. The y value is unchanged so your point is

D. (6, 3)

What is the slope of a line perpendicular to MN for M(-3, 4) and N(5, -8)?

Answers

Answer:

slope of the line perpendicular to MN = 2/3

Step-by-step explanation:

slope = y2 - y1 / x2 - x1

the given co-ordinates are:

x1, y1 = -3, 4

x2, y2 = 5, -8

slope = -8 - 4 / 5 + 3

          = -12/8

          = -3/2

slope of the line perpendicular to MN = -1 / slope

                                                               = -1 / -3/2

                                                               = -1 * -2/3 = 2/3

Answer:

m = 2/3

Step-by-step explanation:

Slope = (y-y)/(x-x)

(-8-4)/5- -3) = -12/8

-12/8 = -3/2

Slope od the perpendicular line= 2/3

Find the volume of a cube whose diagonal measures 36√3 cm.

Answers

Answer:

46656 cm^3

Step-by-step explanation:

If a cubes diagonal measures you can solve for its sidelength by creating a triangle. Visualize the diagonal as the hypotenuse of our triangle inside the cube. Then, one of the legs would be the side of the cube itself, and the other leg would be the diagonal of the bottom side of the cube. Knowing this is a cube, we can call each side s. If each side is s, then the diagonal of the bottom face is s√(2)( this is a special triangle property, 45-45-90 triangle.) Then we know our triangle is a right triangle, so we can use the Pythagorean theorem to solve for s.

s^(2) + (s√(2) )^(2) = (36√(3))^2

Solve this equation for s.

s^(2) + 2s^(2) = 3888

3s^(2) = 3888

s^(2) = 1296

s = 36

Since we now found the side length of the cube, we can find its volume by cubing the side length:

s^3 = (36)^3 = 46656cm^3

9^x=27^(x+2)
how do I do that? I don't get how to do it with different bases

Answers

9^x=27^(x+2)\n3^(2x)=3^(3(x+2))\n2x=3(x+2)\n2x=3x+6\n3x-2x=-6\nx=-6