If you divide any number by itself, what is the result? How can you apply this result to the expression -1×60/-1×10?

Answer:

The answer is x^2y^-12

The simplified form of the expression  (xy⁻⁶)² is  x²/y¹².

Some common rules of exponents are

xᵃ×xᵇ = xᵃ⁺ᵇ.

xᵃ/xᵇ = xᵃ⁻ᵇ.

Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.

Given, An expression (xy⁻⁶)².

= (x²y⁻¹²).      (as the exponent of exponent multiply).

= x²/y¹².

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Answer:

123.8 units

Step-by-step explanation:

The vertices of the polygon has been labelled ABCDEF, as shown in the diagram attached below.

Perimeter of the Polygon = [tex] \overline{AB} + \overline{BC} + \overline{CD} + \overline{DE} + \overline{EF} + \overline{FA} [/tex]

[tex] \overline{AB} [/tex] = |-12 - 24| = |-36| = 36 units

[tex] \overline{BC} [/tex]: calculate the distance between B(24, 16) and C(15, 3) using the distance formula.

[tex] \overline{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] \overline{BC} = \sqrt{(24 - 15)^2 + (16 - 3)^2} [/tex]

[tex] \overline{BC} = \sqrt{(9)^2 + (13)^2} [/tex]

[tex] \overline{BC} = \sqrt{81 + 169} = \sqrt{250} [/tex]

[tex] \overline{BC} = 15.8 units [/tex]

[tex] \overline{CD} [/tex] = |6 - 15| = |-9| = 9 units

[tex] \overline{DE} [/tex] = |3 -(-12)| = |-15| = 15 units

[tex] \overline{EF} [/tex] = |-12 - 6| = |-18| = 18 units

[tex] \overline{FA} [/tex] = |18 -(-12)| = 30 units

Perimeter = 36 + 15.8 + 9 + 15 + 18 + 30 = 123.8 units

9514 1404 393

Answer:

  y = 1/2x -3

Step-by-step explanation:

The line rises 1 unit for each 2 horizontally, so the slope is ...

  m = rise/run = 1/2

The line crosses the y-axis at y = -3, so that is the y-intercept.

In slope-intercept form, the equation is ...

  y = 1/2x -3

Answer:

c

Step-by-step explanation:

c/2-d

Answer:

603.44

Step-by-step explanation:

solution,

radius=4 inches

height=12 inches

volume=?

we know,

volume of cylinder = πr^2h

=22/7×(4)^2×12

=22/7×16×12

=603.44 inches^3#

The volume of a cylinder with a radius of 4 inches and a height of 12 inches is 602.88 cubic inches.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the volume of cylinder whose radius of 4 inches and a height of 12

Radius r = 4 inches

Height h =12 inches

Volume=πr²h

Now plug in the values.

Volume=3.14×4²×12

=3.14×16×12

=602.88 cubic inches

Hence,  the volume of a cylinder with a radius of 4 inches and a height of 12 inches is 602.88 cubic inches.

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Answer:

25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Answer:

x=30

Step-by-step explanation:

since it is a equilateral triangle, every angle is 60.

so 180-60=120, thus giving how much 5x-30 is.

5x-30=120

150=5x

30=x

hope i helped!!!

Answer:

x=-2

Step-by-step explanation:

3(2x-1)+2x=4x-11

6x-3+2x=4x-11

8x-3=4x-11

8x=4x-8

4x=-8

x=-2

The answer to the equation is [tex]x=-2[/tex]

First, you must use distributive property to simplify the equation.

[tex]6x-3+2x=4x-11[/tex]

Then, you must combine like terms.

[tex](6x+2x)-3=4x-11[/tex]

[tex]8x-3=4x=11[/tex]

Next, you must subtract 4x on each side

[tex]4x-3=-11[/tex]

Then, add 3 on both sides

[tex]4x=-8[/tex]

Finally, divide both sides by 4

[tex]\frac{4x}{4} =\frac{-8}{4}[/tex]

[tex]x=-2[/tex]

Answer:

The correct option is option C

Step-by-step explanation:

Here we want an integer that can be inserted into the blank.

We have:

-15 , -3 4/5 , -1.5 , blank , 2.3 , 5 2/3

The integer that must be inserted into the blank should have a value between -1.5 and 2.3

What this means is that it should be greater than -1.5 but less than 2.3

Option A is incorrect since -2 itself is less than -1.5

option B is incorrect as it not an integer ( integer are whole numbers)

option C is correct

D. option D is incorrect since it is not an integer

Answer:

C

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

0-9 gives you 10 possibilites.

10x10x10x10x10=100,000

Step-by-step explanation:

A lottery game called Quinto is played by choosing five numbers each, from 0 through 9,  there are 10 possibilities

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that  lottery game called Quinto is played by choosing five numbers each, from 0 through 9

Therefore, we are asked to find the number of possibilities.

10 x 10 x 10 x 10 x 10

=100,000

Thus, there are 100,000 number

This means that from 0 through 9 there are 10 possibilities.

Hence, A lottery game called Quinto is played by choosing five numbers each, from 0 through 9,  there are 10 possibilities

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Answer:

The population will reach 980,000 in 26 years approximately.

Step-by-step explanation:

Initial Population of city = 490000

Rate of increase in population = 2.75%

We are supposed to find Approximately when  will the population reach 980,000

Formula : [tex]N(t)=N_0(1+r)^t[/tex]

N(t)= population after t years

[tex]N_0=[/tex] Initial population

t - time

r = rate of interest in decimals

So,[tex]980000=490000(1+\frac{2.75}{100})^t[/tex]

t=25.55

So, the population will reach 980,000 in 26 years approximately.

Answer:

B

Step-by-step explanation:

Answer:

option B

Step-by-step explanation:

-5° plus 5° equals 0

Answer:

y=7/8x

Step-by-step explanation:

You use y2-y1/x2-x1 so we plug in the numbers into the equation

-9-(-2)/-10-(-2)=7/8

y=7/8x if in slope-intercept form

Answer:

nnnnnnnnnnknbiibbs

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(-1) + (-1) = -2... so 500 times... it would be -500.

Answer:

2A. 2x-7 =3

B. Subtraction property

3A. 2x = 10

B. Addition property

4A. x=5

B. Division property

Answer:

im deaf and i can't see

Step-by-step explanation:im - deaf - and - i - cant - see

Answer:

28.307

Step-by-step explanation:

:)

hope this answers your question.

Answer:

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

First, find how many beats are in a minute by creating a proportion:

[tex]\frac{11}{5}[/tex] = [tex]\frac{x}{60}[/tex]

Cross multiply and solve for x:

5x = 660

x = 132

So, there are 132 beats in one minute.

This means the constant of proportionality is 132.

The proportional relation is y= 2.2x

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Neena counts 11 beats in 5 seconds

So, x=11 and y=5

Using the proportionality

y = k x

k= y/x

k= 11/5

k= 2.2

Hence, the proportional relation is y= 2.2x

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Answer:

no solution

Step-by-step explanation:

the x's cancel out, and if you plug in 0 for x, you get -8=6 (which isn't true)

Answer:

147 yards

Step-by-step explanation:

Use a system of equations

Let x be length of rectangle and y be width of rectangle

x = 3y

2x + 2y = 56

Substitute x = 3y into second equation, we have 2(3y) + 2y = 56. Combine like terms and we have 8y = 56. y = 7.

Substituting y = 7 into the first equation, we have x = 3(7), and x = 21.

Area is length times width, so area is 21 * 7 = 147

Answer:

area= 147 yd

Step-by-step explanation:

l= 21 yd

w= 7 yd

Formula: a=lxw (area=length x width)

a=21 x 7

21 x 7=147 yd

Answer:

HOPE THIS HELPS!

Answer:

$22.56

Step-by-step explanation:

$6.88 ⋅ 12 = $82.56

So you would have to pay $82.56 per year if you paid $6.88 per month.

$82.56 - $60.00 = $22.56

You would save $22.56 if you paid $60.00 per year.

Hope I helped :)

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Answer:

50 cent

Step-by-step explanation:

Given that :

Cost of energy = $0.068 per kilowatt-hour (kWh)

Number of bulbs = two 10 watt bulbs

Converting the power of the bulb to kilowatt :

2 * 10watt = 20 watt

1000 watt = 1 kilowatt

20 watt = x

1000x = 20

x = 20/1000

x = 0.02 kW

Cost of Energy consumed by bulb 1 hour for 365 days :

0.02kW * 1 * 365 * $0.068 = $0.4964

$0.4964 to cent

100 cent = $1

$0.4964 * 100 = 49.64 cent

49.64 = 50 (nearest cent)

Answer:

3=3y4/i94 =78

Step-by-step explanation:

Answer:

25, 27, 29, 31.

Step-by-step explanation:

25+27+29+31= 112

Answer:

-8

Step-by-step explanation:

-9.5-(-8)-6.5  There are two negatives next to each other, so it's a positive.

-9.5+8-6.5     We want to use the order of operations, so first we can add.

-9.5+8=-1.5     The problem now looks like...

-1.5-6.5           Finally, just subtract.

-8                     8 is your answer!!

I hope this helped you...have a wonderful day c:

Answer:

m = 45/7

Step-by-step explanation:

move terms :

49 - 3m - 4m = 4

-3m - 4m = 4 - 49

collect like terms

-7m = 4 - 49

-7 = -45

divide both sides of the equation by -7

= m = 45/7

Answer:

m = 6.43

Step-by-step explanation:

49 - 3m = 4m + 4

1. subtract 4 from both sides

  45 - 3m = 4m

2. add 3m to both sides

  45 = 7m

3. divide by 7

  6.428571429 = m

4. round to nearest hundreths

   6.43

Answer:

<KLM = 48 degrees

Step-by-step explanation:

According to the instructions, we construct the triangle JKL and extend the side JL to point M. The information about the angles is shown in the attached image.

Recall that the addition of all internal angles of a triangle must give 180 degrees.

The angles we need to complete the addition is angle <JLK, which happens to be the supplementary angles to angle <KLM

Therefore <JLK = 180 - (8 x - 16) = 180 - 8 x + 16 = 196 - 8 x

The we can now solve for "x" in the equation of addition of internal angles of a triangle:

(2 x + 2) + (3 x + 6) + (196 - 8 x) = 180

Combining like terms on the left

- 3 x + 204 = 180

subtracting 204 from both sides:

- 3 x = 180 - 204

- 3 x = - 24

divide both sides by "-3" to isolate x

x = - 24 / (-3)

x = 8 degrees

Now that we know "x", we can find the measure of angle <KLM via its formula:

<KLM = 8 x - 16 = 8 (8) - 16 = 48 degrees