70 POINTS!!!!!!!!!!!!!! HELP PLEASE

1. Apply the properties of integer exponents to write equivalent numerical expressions. Show all work.
Ex. 32 • 3-5 = 3-3 =

a. 4^1 • 4^2

b. 5^3 • 5^-6

c. 32 • 31

d. 6^5 • 5^-7

2. Select two of the above expressions (one multiplication and one division) and explain how you simplified them.

Answers

Answer 1

4^1 * 4^2 = 4^(1 + 2) = 4^3 = 64

5^3 * 5^-6 = 5^(3 - 6) = 5^-3 = 1/125

The third one down is rather sneaky. It's also kinda neat.
31 = 32 - 1 = 2^5 - 1
32 * 31
= 32 (2^5 - 1)
= 2^5(2^5 - 1)
= 2^10 - 2^5
= 1024 - 32
= 992

I don't see any math tricks to solve this. Use brute force.
6^5 * 5^-7 = 6^5 / 5^7 = 7776 / 17125 = 0.00953

2. Just pick a couple of questions out of the four above. The last one is a good example for division. The first one would be good for multiplication. I've explained all you need.

Answer 2

Answer:

[tex]\boxed{\mathrm{view \: explanation}}[/tex]

Step-by-step explanation:

When bases are same in multiplication, add exponents.

1) a. 4^1 × 4^2

4^(1+2)

4^3

b. 5^3 × 5^-6

5^(3+-6)

5^(-3)

c. 3^2 × 3^1

3^(2+1)

3^3

d. 6^5 × 5^-7

0.0995328

2. I added the exponents. For the last one, I evaluated by calculator.

Related Questions

Find the surface area of a cone if the height is 14 centimeters and the slant height is 16.4 centimeters.

Answers

the surface area of a cone 167

The answer would conclude as 167.

68 is decrease by 15%

Answers

15% of 68 = 10.2

68 - 10.2 = 57.8

68 decreased by 15% is 57.8

What does an r value of −1 represent in correlation?

Answers

It means the scatter plot is a line with negative slope. The relation is perfectly described by a linear equation.

The first quartile of a data set is 23, the median is 30, the third quartile is 33, and an outlier is 6. Which of these data values would be represented by a point in a modified box plot?

A. 30
B. 23
C. 6
D. 33

Answers

c. the outlier will most likely be the answer to this question

Answer: C. 6

Step-by-step explanation:

A box-plot mainly represents a five number summary of :

1) lowest data value 2) largest data value 3) first quartile 4) second quartile (Median) 5) third quartile.

The modified version of box-plot displays the outliers of the data by a point if present,

Since 6 is the outlier of the data.

Therefore the 6 is the value which would be represented by a point in a modified box plot.

Find the percent markdown rounded to the nearest percent

Answers

You are going to find the different of the new price from the old price . 175.90-153.77=22.13

then you divide the difference by the new prince 22.13/153.77= 0.1439

you are you to multiple the decimal by 100

Your answer is going to be 14.39
Your estimate can be 14%

An author is paid $500 as an advance on their book plus an additional $4 for every book sold. If the author earns $880, how many books has he or she sold?

Answers

x will stand for every extra book sold

880 = 4x + 500
subtract 500 from both sides

380 = 4x
divide both sides by 4

x = 95
they sold 95 books

Marissa said that multiplying 8.0 by 1,000,000 would increase the value of the 8 because there would be 6 more zeros after the decimal point. Explain what is wrong with marissa's statement

Answers

She is wrong because there is no decimal point in 1,000,000 therefore the zeros don’t go behind the decimal

Julio is in Colorado exploring part of the Denver Zoo as shown he starts at the felines exhibit and travels 3 unit to the right and 5 units up at which exhibit is Julio located at the felines exhibit is located at (3,1) what are the coordinates of Julio's new location

Answers

Starting with his original coordinates (3, 1), going 3 units right gives us (3+3, 1) = (6, 1). Going 5 units up then gives us (6, 1+5) = (6, 6) for his new location.

Final answer:

To find Julio's new location at the Denver Zoo, we add his horizontal and vertical movements to his starting coordinates. After moving 3 units to the right and 5 units up from the felines exhibit at (3,1), Julio's new location is at coordinates (6,6).

Explanation:

The student is asking about a basic coordinate geometry problem. Julio is at the felines exhibit at coordinates (3,1). To find Julio's new location after traveling 3 units to the right and 5 units up, we add the horizontal and vertical movements to his starting coordinates.

The movement to the right corresponds to an increase in the x-coordinate, while the movement up corresponds to an increase in the y-coordinate. Starting from the point (3,1), moving 3 units to the right means the x-coordinate changes from 3 to 3 + 3 = 6. Moving 5 units up means the y-coordinate changes from 1 to 1 + 5 = 6. Thus, Julio's new coordinates are (6,6).

Which of the binomials below is a factor of this trinomial? x2 + 14x + 40

Answers

Answer:x+4

Step-by-step explanation:

Answer: x + 10

Step-by-step explanation:

In the net of a rectangular prism, each square of the grid is 1 square meter. What is the surface area of the prism?

Answers

Answer:

Step-by-step explanation:

172

Answer:

172 is your answer

Step-by-step explanation:

write an equivalent equation that does not contain parentheses for 3(k-x) = -3x-9

Answers

3(k-x)= -3x-9
3k - 3x = -3x - 9 ← equation without parentheses
3k - 3x + 3x = - 9
3k = -9
k = -9/3
k = -3 ← simplest form

Find (2 × 104) − (3 × 103). A) 1.07 × 103 B) 1.07 × 104 C) 1.7 × 103 D) 1.7 × 104

Answers

[tex]2 \times 10^{4} - 3 \times 10^{3} = 2 \times 10^{4} -0.3 \times 10^{4} = (2.0 -0.3) \times 10^{4} = 1.7 \times 10^{4}[/tex]

Selection D is appropriate.

2 * 104 = 208

3 * 103 = 309

208 - 309 = -101

Your answer is -101

Hope I helped!

Let me know if you need anything else!

~ Zoe

please help! ill give you brainliest

Answers

we can use AA~ (angle angle similarity, which means if two pairs of corresponding angles are congruent, then the triangles are similar)

for the first set of angles, angle R and angle PQS are congruent because they're both 30 degrees

for the second pair, angle QPR can count for both triangles because both triangles share this angle, so it'll be congruent

Can you help me solve this because i am stuck on this problem. Thx

Answers

so 2.5 os to 50, aka 2.5:50
divide each side by 2.5 to get the answer.
if you dont have a calculator, divide each side by 5 to get .5:10, multiply by 2 to get 1:20

To solve this problem simply set up a fraction of a ratio with the 2 numbers.

Then make a new fraction and place the unknown as the variable, here it is x minutes

2.5 miles/50 minutes = 1 mile/ x minutes

X minutes = 50 / 2.5 = 20 minutes.

B is the correct solution.

PLEASE HELP!! Show simple working out

Answers

In order to estimate the mean, you need to choose a value to represent the number in each category of accidents. It is often convenient to use the middle value of the range.
.. (4*6 +10*10 +15*6 +20*9)/(6 +10 +6 +9) = 394/31 ≈ 12.7

Rectangle A has side lengths of 6 cm and 3.5 cm. The side lengths of rectangle B are proportional to the side lengths of rectangle A.
What could be the side lengths of rectangle B?

A. 3cm and 1.75cm
B. 5cm and 2.5cm
C.7 cm and 7cm
D. 12cm and 5 cm
E. 5.25cm and 9cm

Answers

To determine whether or not these are proportional, take the two side lengths that are given and create a ratio. 6cm:3.5cm. I suggest writing this in fraction form to better see the equivalency. If you divide both 6cm and 3.5 cm by 2, you create an equivalent ratio of 3 cm:1.75cm. This is answer A. There is another correct answer too! If you take 6cm:3.5cm and multiple both by 1.5, it will create an equivalent ratio of 9cm:5.25 cm (answer choice E), just in a different order.

Triangle ABC has vertices A(1,4), B(???2,4) , and C(???1,???1) . A dilation with a scale factor of 0.25 and center at the origin is applied to the triangle. What are the coordinates of C' in the dilated image? Enter your answer in the boxes. PLEASE BE RIGHT

Answers

Hello,

If you are starting with C as point (1, 1) all you have to do is multiply the coordinates by the scale factor. In this case, the scale factor is 0.25.

So we have: 0.25 x 1 = 0.25

Our new point C' will be (0.25, 0.25)

I hope this helps,
MrEQ

Jesse takes his dog and cat for their annual vet visit.Jesse's dog weighs 23 pounds.The vet tells him his cat's weight is 5/8 as much as his dog's weight.How much does his cat weigh?

Answers

If I’m not mistaken the cats weight is 14.4

what is 0.7 divided by 792

Answers

0.7/729 equals 0.00088383838

792/ 0.7= 8.8 I think that the answer.

Use a protractor to find the measure of each angle in the circle

Answers

You need to show us the circle in order to let us answer the question.

Ben works part time in a warehouse . His boss is going to send one employee home early . Of his 56 employees 21 are part time . If the boss picks one employee at random what are the chances it will be a part time emplyee sent home ?

Answers

21/56 is the chances of him being sent home early

Use the chart to multiply the binomial by the trinomial. Which polynomial is the correct product?
15y3 + 17y2 + 22y + 15 6y3 + 17y2 + 22y + 15 6y3 + 20y2 + 22y + 15 6y3 + 17y2 + 22y + 25

Answers

The awnser is :
6y^3 + 17y^2 + 22y + 15
Hope it helps

Answer: [tex]6y^3 + 17y^2 + 22y + 15[/tex]

Step-by-step explanation:

Here, the given expression, [tex](2y+3). (3y^2+4y+5)[/tex]

By applying distribution property in second bracket,

= [tex]3y^2(2y+3)+4y(2y+3)+5(2y+3)[/tex]

= [tex]6y^3+9y^2+8y^2 +12y+10y+15[/tex] ( again by applying distributive property)

= [tex]6y^3+17y^2 +22y+15[/tex] ( by adding like terms)

Thus, [tex](2y+3). (3y^2+4y+5)[/tex]= [tex]6y^3+17y^2 +22y+15[/tex]

Gtrsoceer please help me

Answers

It is a larger margin than just counting by ones

Because counting by tens will be less time consuming rather than counting by ones.

Carl buy songs and download them to his computer. the bar graph shows the numbers of each type of song he downloaded last year. what total numbers of song Carl’s downloaded last year?

Answers

Carl downloaded 50 songs last year

Answer:

50 songs

Step-by-step explanation:

To know how many songs he downloaded of each type, we just need to see where each bar stops and see the number that is just below.

Carl downloaded 15 songs of country music, 20 of rock, 5 of classical and 10 of world.

If we want to know the total of songs, we just need to sum them all:

15 + 20 + 5 + 10 = 50

He downloaded 50 songs last year.

the town of lantana needs $14,000 for a new playground. lantana elementary school raised $5358 lantana middle school raised $2834 and lantana high school raised 4132.
about how much more money do they need to raise?

Answers

Total money needed = $14,000
Total money collected = $5358+$2834+4132 = $12324

Additional money needed = Total money - Money collected

=> $14,000 - $12,324
=> $1,676

So they need $1676 more money to be collected

Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.

Which polling methods are likely to be biased?

Select each correct answer.

A. Five of Janine's friends are selected and asked for whom they intend to vote.

B. From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.

C. Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.

D. Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.

Answers

"Bias" means someone shows inclination towards someone or something because of the relationship that person has with that thing or person.

In this case, since Janine has friends that are also in the dance club, they are more likely to vote for her as president because they are friends with her. So, answer A is likely to be biased because the five people sampled are her friends.

Answer C is also biased because the sample chosen already plan on voting for her as president, and they are more than likely to find others who plan to vote for her.

Answer:

The answer is A & C

Step-by-step explanation:

I took the test and got a 90%

- What coins would you use to buy a toy for $0.67 ? -- What coins would use to buy a pencil for $0.10? -- What coins would you use to buy a bag of chips for$0.35?

Answers

1- 2 quarters, 1 dime, 1 nickel, 2 pennies
2- 1 dime
3- 1 quarter, 1 dime

$0.67= 2 quarters, 1 dime, 1 nickel, 2 penny
$0.10= 1 dime
$0.30= 1 quarters, 1 nickel

Ben believes that most of the automobiles in his neighborhood are SUVs. He does a house-to-house survey of parked cars. He surveys 45 cars and only 8 of the cars he finds are SUVs. Yet fully 50% of the town’s automobiles are SUVs. What is the MOST LIKELY explanation for these two facts? A) Ben’s sample is too small to be representative of the entire town. B) SUVs are sometimes hard to distinguish from non-SUVs and Ben made errors. C) Most of the SUVs were on the road, and less popular models were left at home. D) Ben only looked at parked cars instead of asking residents what kind of car they drive.

Answers

I had this question last year I believe it's C but not 100% sure.

Answer:

It’s A Guys!

Step-by-step explanation:

All of the explanations are possible, but surveys need to be done in a way which results in a representative sample. Ben’s sample was not representative of the entire town.

He only asked in his neighborhood not in his whole town. C just doesn’t make sense. B is highly unlikely mathematically speaking, and D was kind of illogical. I thought of picking D, but comparing the two, A was the better answer.

How do you work out this question:
Ravi had 237 marbles more than Elliott had. Ravi gave Elliott 165 marbles. Who had more marbles in the end? How many more?

Answers

Ravi had more marbles because if he gave Elliot 165 then you subtract 237-165 which is 72 which means now Ravi has less marbles but he has more then Elliot and now he has 72 marbles more then Elliot

After mathematics calculations, it is determined that Elliott ends up with more marbles than Ravi by 93 marbles after Ravi gives him 165 marbles.

The question involves Ravi and Elliott and the number of marbles they each have initially and after a certain transaction. To solve the problem, we start with the given information:

1. Ravi originally had 237 marbles more than Elliott.

2. Ravi gave Elliott 165 marbles.

Let's denote the number of marbles Elliott had initially as E. According to the information provided, Ravi had E + 237 marbles.

After Ravi gave Elliott 165 marbles, Elliott's new total would be E + 165, and Ravi's new total would be (E + 237) - 165.

Simplifying Ravi's new total, we get E + 237 - 165 = E + 72.

Now we compare both totals:

Elliott's total after receiving marbles: E + 165 Ravi's total after giving marbles: E + 72

Clearly, Elliott now has more marbles than Ravi by 165 - 72 = 93 marbles.

So Elliott has more marbles, and he has 93 more than Ravi once the transaction is completed.

Johnson High School has a total enrollment of 1829 students. Season tickets are sold for the basketball season and 604 students buy the tickets. About what percent of the student body purchased season tickets?

Answers

33.02%
The formula is number of students who bought the tickets
.......................--------------------------------------------------------
.......................number of students enrolled

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