in standard form for properties of exponents

In Standard Form For Properties Of Exponents

Answers

Answer 1

Answer:

1 / 64

Step-by-step explanation:

(2^2)^-3

apply exponent rule: (a^b)^c = a^(bc)     a ≥ 0

2^((2) - 3)

((2) - 3) = -6

2^-6

apply exponent rule: a^-b = 1 / a^b

2^-6 = 1 / 2^6

2^6 = 64

1 / 64

Let me know if you have any questions !


Related Questions

what is the mean age of a girl on the swimming team?​

Answers

Answer:

15

Step-by-step explanation:

what is the mean age of a girl on the swimming team?​

adding the number of girls together and then dividing by the number of girls

(15 + 17 + 19 + 12 + 14 + 18 + 12) : 7 =

107 : 7 = 15.28 (you can round at 15)

An item has a listed price of $30 . If the sales tax rate is 9% , how much is the sales tax (in dollars)?

Answers

Answer:

2.7$

Step-by-step explanation:

5y3 – 4y – 1

Leading term:

Leading coefficient:

Constant term:

Answers

Answer:

Leading term:

5y^3

Leading coefficient:

5

Constant term:

-1

Step-by-step explanation:

5y^3 -4y -1

The leading term is the term with the highest power of the variable

5y^3 is the leading term

the leading coefficient is the number in front of the highest power of the variable

5 is the leading coefficient

The constant term is the number alone

-1 is the constant term

Captain Ashley has a ship, the H.M.S Crimson
Lynx. The ship is two furlongs from the dread
pirate Umaima and her merciless band of
thieves.
If her ship hasn't already been hit, Captain
1
Ashley has probability of hitting the pirate
2
ship. If her ship has been hit, Captain Ashley will
always miss.
If her ship hasn't already been hit, dread pirate
1
Umaima has probability of hitting the
3
Captain's ship. If her ship has been hit, dread
pirate Umaima will always miss.
If the Captain and the pirate each shoot once,
and the pirate shoots first, what is the probability
that both the pirate and the Captain hit each
other's ships?

Answers

A because 1 makes the most sense and i already answered it

Element X decays radioactively with a half life of 14 minutes. If there are 310 grams
of Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 5 grams?
y = a(.5) /

Answers

Answer:

83.4

Step-by-step explanation:

Joaquin estimates his score on his science test. Joaquin's estimate has a 3% error. His actual score on the science test is 91. What could be Joaquin's estimate? Choose all the correct answers. please go to the pic for the answer

Answers

Joaquin's estimate for his score on the science test can either be 93.73 or 88.27.

What is the estimate on the science test?

Percentage can be described as a fraction of an amount that is usually expressed as a number out of hundred.

Estimate of the score can either be greater than or less than 91.

Score estimate = (1.03 x 91) or (0.97 x 91) = 93.73 or 88.27.

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Given ΔABC. Choose which of the following sides create a right triangle:

21

I. a=1.2,b=3.5,c=3.6
II. a=6,b=9.1,c=10.9
III. a=6,b=8,c=9

Answers

Answer:

II. a = 6 , b = 9.1 , c = 10.9

Step-by-step explanation:

I. a = 1.2 , b = 3.5 , c= 3.6

c² = a² + b²

3.6² = 1.2² + 3.5²

12.96 = 1.44 + 12.25

12.96 ≠ 13.69

These sides cannot create a right triangle.

II. a = 6 , b = 9.1 ,c = 10.9

c² = a² + b²

10.9² = 6² + 9.1²

118.81 = 36 + 82.81

118.81 = 118.81

Therefore, these sides can create a right triangle.

III. a = 6 , b = 8 , c = 9

c² = a² + b²

9² = 6² + 8²

81 = 36 + 72

81 ≠ 108

These sides cannot create a right triangle.

Brainliest for the right answer, anyone? :p

Find the midpoint M of the line segment joining the points P = (-2, -4) and Q = (-6, -8).

Answers

Answer:

(-4,-6)

Step-by-step explanation:

For x, the middle point between   -2  and  -6   is      -4

for y the middle point between  -4  and -8   is  -6  

On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park
and then 2.51 miles to the library. On Sunday, Finley rode the bus 2.12 miles to thi
art museum. What is the total number of miles Finley rode the bus on Saturday
and Sunday?

Answers

The total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles

Calculating distance

From the question, we are to determine the total distance travelled by Finley on Saturday and Sunday

From the given information,

On Saturday, Finley rode the bus from her apartment 3.35 miles to the city park and then 2.51 miles to the library

Total distance travelled on Saturday = 3.35 miles + 2.51 miles

Total distance travelled on Saturday = 5.86 miles

Also,

On Sunday, Finley rode the bus 2.12 miles to the art museum

Total distance travelled on Sunday = 2.12 miles

∴ Total distance travelled on Saturday and Sunday = 5.86 miles + 2.12 miles

Total distance travelled on Saturday and Sunday = 7.98 miles

Hence, the total number of miles Finley rode the bus on Saturday and Sunday is 7.98 miles.

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Find the Mean Absolute Deviation (MAD) of the following test scores.

Remember, the Mean is just the first step.

Scores:
{ 48, 61, 73, 76, 76, 74 }

Answers

Based on the calculation below, the Mean Absolute Deviation (MAD) of the test scores is 0.

How to calculate Mean Absolute Deviation (MAD)

The mean of the 6 test scores is first calculated as follows:

Mean = Sum of the test scores / Number of test scores = (48 + 61 + 73 + 76 + 76 + 74) / 6 = 68

We can now calculate the MAD of the test scores as follows:

MAD = Sum of deviations of all the test scores from the Mean / Number of test scores = ((48 - 68) + (61 – 68) + (73 – 68) + (76 – 68) + (76 – 68) + (74 – 68)) / 6 = 0 / 6 = 0

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Joe has 5/6 cup of paint in a container. He uses 2/5 cup on a project then adds another 1/3 cup. How much paint does he have now?

Answers

Answer:

=23/30

Step-by-step explanation:

5/6-2/5

Multiply 5/6 by 5 and -2/5 by 6

25/30-12/30

25-12/30

=13/30

Then he adds another 1/3

=13/30+1/3

multiply 1/3 by ten

=13/10 + 10/30

=13+10/30

=23/30

5/6-2/5-1/3=23/30

The zigzag crystal vase has height 20 centimeters. The cross sections parallel to the base are always rectangles that are 12 centimeters wide by 6 centimeters long.

Answers

Answer:

14440cm3

Step-by-step explanation:

Use rules of transformations to answer each of the items below. Be sure to answer in complete sentences, and when necessary, include your calculations. Create your own set of coordinates for △ B L U and graph it on a coordinate plane. Label each of the triangle's vertices. Write a scenario involving the dilation of △ B L U onto its image. In the scenario, include the scale factor between the similar triangles and the coordinates for the image. Graph the image on the same coordinate plane as its pre-image. Use the distance formula or Pythagorean Theorem to prove mathematically that △ B L U is similar to its image. Include all necessary calculations.

Answers

Answer:

We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABCWe want to dilate triangle ABC by scale factor of 2

Step-by-step explanation:

Solve the following porportion.
x/25 = 2/5 x=

Answers

Answer:  10

=========================================

Work Shown:

x/25 = 2/5

5x = 25*2

5x = 50

x = 50/5

x = 10

------------

Another approach:

x/25 = 2/5

x/25 = (2*5)/(5*5)

x/25 = 10/25

x = 10

------------

Yet another method:

x/25 = 2/5

x/25 = 0.4

x = 25*0.4

x = 10

All computers are on sale for 10% off the original price.


If x is the original price of the computer, then the function that represents the price after only a 10% discount is:


P(x) = x - 0.1x


P(x) = 0.9x


The function that gives the price, C, if only a $150 coupon is used is:


C(x) = x - 150


Choose the composition function that gives the final sale price after a 10% discount is followed by a $150 coupon.


C(P(x)) = 0.9x – 150


P(C(x)) = 0.9x – 150


C(P(x)) = 1.9x – 150


P(C(x)) = 1.9x – 150

Answers

1.66 although the independent variable is purple but the dog ate the cat

The radius of a circle is 10 m. Find its area to the nearest whole number.


I need help rn it’s a final I need it asap

Answers

given:

radius= 10 m

to find:

the area of the given circle.

solution:

[tex]a = \pi {r}^{2} [/tex]

[tex]a = \pi \times {10}^{2} [/tex]

[tex]a = 314.15927 \: {m}^{2} [/tex]

[tex]a = 314 \: {m}^{2} [/tex]

therefore, the area of the given circle is 314 square meters.

Given:r= 10 mNote that:r: radius To find:The area of the given circle to the nearest whole number.Solution:

[tex]\large\boxed{Formula: a= \pi{r}^{2}}[/tex]

In this question raduis is given so we'll simply have to solve.

Let's solve!

The area of a circle is π times the radius squared.

Substitute the values according to the formula.

[tex]a= \pi \times {10}^{2}[/tex]

[tex]a= 314.1592654 \: {m}^{2}[/tex]

Now, we can round off to the nearest whole number.

The value in tenths place is less than 5 so we won't have to round up.

Final answer:

[tex]\large\boxed{a= 314 \: {m}^{2}}[/tex]

Hence, the area of the circle given in the question is 314 square inches to the nearest whole number.

i need help with 7th grade math please need help ASAP + brainleist

Answers

Step-by-step explanation:

the area of garden is 970.08

Answer:

970. 08 [tex]ft^2[/tex]

Step-by-step explanation:

The rose garden is made up of 2 shapes: rectangle and a half-circle.

1. We start by finding the area of the rectangle...

[tex]31*24[/tex]We get 744 [tex]ft^2[/tex]

2. Then find the area of the half-circle

The area of a circle is [tex]\pi r^2[/tex]We need to divide it by half since we only have half the area [tex]\frac{\pi r^2}{2}[/tex]The question only gives us the diameter (24), to find the radius we divide by 2 to get 12Now plug 12 for r [tex]\frac{\pi(12^2)}{2}[/tex]Plug 3.14 for [tex]\pi[/tex], [tex]\frac{3.14(12^2)}{2}[/tex]Compute: 226.08 [tex]ft^2[/tex]

3. Add the areas together

[tex]744 + 266.08[/tex]Finally, we have 970.08 [tex]ft^2[/tex]

Kasha has a spinner divided into 8 equal sections that are labeled 1 though 8. She wants to compare the theoretical probability and
the experimental probability of spinning an odd number. She spins the spinner 10 times and records the results in this list.
{2, 4, 1, 8, 7,5, 3, 4, 1,5}
Drag and drop the answers into the boxes to correctly complete the sentences
The theoretical probability of spinning an odd number is equal to
The experimental probability of spinning an odd
number is equal to
Therefore, the theoretical probability of spinning an odd number is
the
experimental probability of spinning an odd number
3
5
greater than
less than

Answers

The theoretical probability = [tex]\frac{1}{2}[/tex], The experimental probability  = [tex]\frac{3}{5}[/tex]

Less than

What is experimental probability?

The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.

The theoretical probability of spinning and odd number = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]

The experimental probability =[tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]

Since  [tex]\frac{1}{2}[/tex]<  [tex]\frac{3}{5}[/tex]

So, the theoretical probability less than the experimental probability.

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Simplify the equation √-42×√-30

Answers

Answer:

-6 [tex]\sqrt{35}[/tex]

Step-by-step explanation:

Answer:

[tex]6\sqrt{35}i[/tex]

Step-by-step explanation:

capital gross is calculated by doing...
A)selling price-purchase price
B)purchase price-selling price

Answers

The capital gross is calculated by doing subtracting purchase price from selling price option first “selling price-purchase price” is correct.

What is capital gross?

The entire value of gross fixed capital formation, changes in inventories, and acquisitions less disposals of assets for a unit or sector is used to calculate gross capital formation.

As we know, deducting the asset's or portfolio's acquisition price from the selling price yields the capital gain formula.

Thus, the capital gross is calculated by doing subtracting purchase price from selling price option first “selling price-purchase price” is correct.

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Does anyone know the answer to X - 5y

Answers

Answer:

Slope is 1/5
y intercept is (0,0)

Read the following stock quote. What is the current price of this stock?

IMAX Corporation (Nasdaq:IMAX)

16.04 0.49 (3.15%) 11:51am ET

$3.15
3.15 percent
$.49
$16.04

Answers

Answer:

$16.04

(see the answer for explanation)

1/5 is 60% of what number

Answers

1/5 = 60/100 * x

1/5 * 100/60 = x

100/300 = x

1/3 = x

Answer:

[tex] \frac{1}{3} [/tex]

Step-by-step explanation:

According to what we know, one-fifth is 60% of a number. Let us call that unknown number x. Since

[tex] \frac{1}{5} = 60\% \: \\ then \\ x = 100\%[/tex]

60% as a fraction is 6/10 or 3/5, in that case 100% as a fraction would be 5/5.

Recall: 60% = 3/5 and 100% = 5/5

therefore:

1/5 = 3/5

x = 5/5

note in order to find the value of x we cross multiply*

[tex] \frac{1}{5} ( \frac{5}{5}) = \frac{3}{5} x[/tex]

[tex] \frac{1}{5} = \frac{3}{5} x \\ \\ \frac{ \frac{1}{5} }{ \frac{3}{5} } = \frac{ \frac{3}{5} }{ \frac{3}{5} } x \\ \\ \frac{1}{5} \times \frac{5}{3} = x[/tex]

[tex] \frac{1}{3} = x[/tex]

x-3<9 this is a inequalite question

Answers

                     - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

             x-3<9

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}\diamond[/tex]

  ✩ First, add 3 on both sides:-

[tex]\it{x < 9+3}[/tex]

Which results in

[tex]\it{x < 12}[/tex]

So the values of x less than 12 will make this inequality true.

Good luck.

              - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

After rolling a fair 20-sided die 200 times The observed or experimental probability of rolling a 20 was 25% what will happen to the probability of rolling a 20 if the dye is ruled 10,000 more times

Answers

Answer:

Step-by-step explanation:

The theoretical probability of getting a 20 in 1 throw is 1/20 = 5%.

The more times you roll the dye the closer the experimental probability moves to the theoretical.

So  the probability will get  less than 25% and get closer to the theoretical 5%.

If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.

We have,

The probability of rolling a 20 on a fair 20-sided die is 1/20 or 0.05.

If the die is rolled 200 times and the observed probability of rolling a 20 is 25%,

We can calculate the number of times a 20 was actually rolled as follows:

Number of times a 20 was rolled

= Observed probability × Number of rolls

= 0.25 × 200

= 50

So, out of 200 rolls, 20 were rolled 50 times.

Now, if the die is rolled 10,000 more times, we can use the law of large numbers to expect the experimental probability of rolling a 20 to approach the true probability of 0.05.

The expected number of times a 20 will be rolled in 10,000 rolls is:

The expected number of times a 20 will be rolled

= Probability of rolling a 20 × Number of rolls

= 0.05 × 10,000

= 500

Therefore,

If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.

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How can these models be used to find the sum 1.8 + 1.56?



Enter your answers in the boxes.

The models show a total of 2 wholes,
tenths, and
hundredths. After regrouping 10 tenths into 1 whole, there are
wholes,
tenths, and
hundredths. Therefore, the sum of the numbers is
.
First row. One large square divided into a 10 by 10 grid of 100 small squares. Eight columns, each divided into 10 small squares. Second row. One large square divided into a 10 by 10 grid of 100 small squares. Five columns, each divided into 10 small squares. Six small squares.

Answers

Answer:

The sum of  1.8 and 1.56 is 3.36 according to the model

Sum of decimals

Given the expression  1.8 + 1.56

Using the partial sum method

1.8 + 1.56 = (1.0 + 0.8) + (1.0+0.56)

Regroup as whole and decimal number

1.8 + 1.56 = (1.0 + 1.0) + (0.8 +0.56)

1.8 + 1.56 = 2.0 + 1.36

1.8 + 1.56 = 3.36

Hence the sum of  1.8 and 1.56 is 3.36 according to the model

Clare ran 8/5 as far as jada, Tyler ran 4/3 as far as jada, and Kim ran 1/2 as far as jada. Order the students from least to greatest by order of the distance they ran

Answers

1/2,4/3,8/5

Step-by-step explanation:

when u find the lowest you will see that 8/5 and 4/3 have a higher numerator and when you simplify that u will get to 8/5=1 18/30and 1/2=1 and 1/3bwhuch gets you to the lowest

find the x of these multiplication

6) 3x = 27
7) 5x = 35
8) 2x = 24

Answers

6) To find X, you need to isolate X from the number, to do this divide the 3X by 3 and do the same to the other side, divide 27 by 3.
X = 9

7) do the same process, X = 7

8) do the same process, X = 12

Hey there!

QUESTION #6.

3x = 27

DIVIDE 3 to BOTH SIDES

3x/3 =27/3

SIMPLIFY IT!
x = 27/3

x = 9


Therefore, the answer should be:

x = 9


QUESTION #7.

5x = 35

DIVIDE 5 to BOTH SIDES

5x/5 = 35/5

SIMPLIFY IT!
x = 35/5

x = 7


Therefore, the answer should be:

x = 7


QUESTION #9.
2x = 24

DIVIDE 2 to BOTH SIDES

2x/2 = 24/2

SIMPLIFY IT!

x = 24/2

x = 12

Therefore, the answer should be:

x = 12


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Find the value of D of a square and the sides are 4 n 4 n 4 n 4 and D is diagonal

Answers

Answer:

D = 4√2

Step-by-step explanation:

Formula:

In a square with sides each of length ‘a’ :

The diagonal D of the square = a√2

…………………………………………………………

The square ,in our example has 4 sides all of Length 4 ,then

D = 4√2

A gym has an enrollment fee of $80. There is also a $25 fee per month of membership.

Answers

This is like a linear equation, (y = mx + b) where the cost per month is 25, and our b is the 80 to join in the first place:

y = 20x + 80

You did not share how much was paid for the membership, but if you put the total cost into y, then you can solve for x. Or you can find the total cost by entering in the number of months for x.

Answer:

Equation given

80+25(y)=x

y= Per month(So the amount of months that passed)

x=Total amount

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