How do you answer this?

Answers

Answer 1

Answer: $(m^(-2))^5=m^(-2\cdot5)=m^(-10)$

$x^2+3x-10=\nx^2+5x-2x-10=\nx(x+5)-2(x+5)=\n(x-2)(x+5)$

Answer 2

Answer: (m*-2)*5 simplifies to m*-10.

This is because when you have a number with an exponent to an exponent, you multiply the exponents.

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Is 5 - (-3) equal to 8 or -2. And if one or the other, please state why one is correct and the other isn't.

Answers

two negatives make a postive as they cancel each other out

5 - - 3 = 5 + 3 = 8

the only way the answer could be - 2 is if the original question said 5 + - 3 = - 2

A micrometer is one-millionth of a meter (0.000001): ten thousand times shorter than a centimeter (0.01). How many micrometer one is one edge of a centimeter cube?

Answers

Answer:

$1cm^3=0.000000000001mm^3$

Step-by-step explanation:

Given : 0.000001 mm = 0.01 cm

To find : How many $mm^3$ is in $1 cm^3$

Solution :

Step 1 : Given 0.000001 mm = 0.01 cm

Step 2: Cubing both side $(0.000001mm)^3 = (0.01cm)^3$

Step 3: Solve $(10^(-6))^3mm^3=(10^(-2))^3cm^3$

$\Rightarrow((10^(-6))^3)/((10^(-2))^3)mm^3=1cm^3$

$\Rightarrow(10^(-18))/(10^(-6))mm^3=1cm^3$

$\Rightarrow 10^(-18+6)mm^3=1cm^3$

$\Rightarrow 10^(-12)mm^3=1cm^3$

$\Rightarrow 0.000000000001mm^3=1cm^3$

Therefore, $1cm^3=0.000000000001mm^3$

If a cube has an edge of one centimeter and one centimeter is ten thousand times longer than a micrometer, then the edge has ten thousand micrometers.

I hope that's what you meant :)

Given the following system of equations, identify the type of system.x + 2y = 6
3x + 6y= -9
A. Consistent
B. Inconsistent
C. Equivalent

Answers

Answer:

The two lines in the graph are parallel, so it is B. Inconsistent since there is no solution.

Answer:

the answer would be B inconsistent

Use the subway train schedule below to answer the question. Train ScheduleTrainArrives Every...Red line4 minutesBlue line5 minutesYellow line6 minutes All three trains just arrived at the station. When will they next all arrive at the station at the same time? They will all arrive at the station in minutes.

Answers

Answer:

60 minutes

Step-by-step explanation:

Given the schedule above :

Red line arrives every 4 minutes

Blue line arrives every 5 minutes

Yellow line arrives every 6 minutes

All three just arrives at the train station ; when next will they all arrive at the train station at the same time.

Obtain the lowest common multiple of each arrov time :

Lowest common multiple of 4, 5, 6

_2___4___5___6

_2___2___5___3

_3___1___ 5 __ 3

_5___1___ 5 __ 1

_____1 ___1 ___1

Hence, lowest common multiple :(2 * 2 * 3 * 5) = 60

Hemce, they all arrive at the train station at the same time after 60 minutes

Create a numerical expression for each day of the month using the numbers 1, 2, 3, and 4 with an answer that matches each day.

Answers

Answer:1-2divided by Yx - 4 + 3

Step-by-step explanation:

The length of a rectangle is twice the width. The area of the rectangle is 80 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each square? Estimate the length and width of the rectangle.

Answers

Answer:

Width of the rectangle = 6.325 units

Length of the rectangle = 12.65 units

Side length of the square the 6.325 units.

Step-by-step explanation:

The length of a rectangle is twice the width. The area of the rectangle is 80 square units.

The area of the rectangle = Length × Width

Length = 2W

80 square units = 2W × W

80 = 2W²

W² = 80/2

W² = 40

W = √40

Width of the rectangle = 6.3245553203 units

Approximately = 6.325 units

Length = 2 × Width

= 2 × 6.325

= 12.65 units

• Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each square?

We you divide a rectangle into 2 squares,

The length is divided into two.

Hence, the length of the rectangle = 12.65 units

12.65 units ÷ 2 = 6.325 units.

Hence, the side length of the square the 6.325 units.

Final answer:

To estimate the side length of each square, find the square root of the area of the rectangle. The square root of 80 is approximately 8.94. The length is twice the width, so the width of the rectangle is approximately 6.32 units and the length is approximately 12.64 units.

Explanation:

To estimate the side length of each square, we can find the square root of the area of the rectangle. The square root of 80 is approximately 8.94. Since the rectangle can be divided into two squares with equal area, each side of the square would be approximately 8.94 units long.

Now, let's find the length and width of the rectangle. It is given that the length is twice the width. Let's represent the width as 'x'. In that case, the length would be '2x'. We know that the area of the rectangle is 80, so we can set up the equation:

width x length = area ------> x x2x = 80 ------> 2x² = 80

Dividing both sides of the equation by 2, we get: x² = 40. Taking the square root of both sides, we find that x is approximately 6.32. Therefore, the width of the rectangle is approximately 6.32 units and the length is approximately twice that, or 12.64 units.

Learn more about Area of the Rectangle here:

brainly.com/question/31566854

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