Prompt
Please number your responses to the questions as they are shown (1, 2a, and 2b).
A student in your class says the following.
"I'm having a hard time with this lesson, because the rules for rational exponents are so different than the rules for integer exponents."
1. Write a response to your classmate's comment. State whether you agree or disagree with the comment and why.

2. a. Choose one of the rules for rational exponents. Explain it to your classmate using complete sentences.

b. Create a problem and use it to show your classmate how your strategy works. Use complete sentences in your explanation.

A great place to start would be to look at one of the rules (maybe product or quotient) for rational exponents and for integer exponents and compare them. Explain the differences between the rules.

Answer:172 cm²

when we put this in the pentagon formula, and it will get 172.03, and we round it and will be 172

formula of pentagon is 1/2 × p × a

Answer:

B and D

Step-by-step explanation:

A - check to see IF the relationship is proportional by dividing each y by its associated x:

     2 2/3 ÷ 3 = 8/9

     1 2/3 ÷ 3 = 5/9

     2/3 ÷ 3 = 2/9

none of these match, so not even proportional

B - CoP is the coefficient of x (2)

C - not proportional because of the +2

D - do the same as A

     6/3 = 2

     12/6 = 2

both are the same and equal to 2

Answer:

3/4n = 5/8

Step-by-step explanation:

your…. welcome……

I don’t trust meself so I might be wrong

Step-by-step explanation:

10-8b

hope it helps. please mark brainliest

False

The sum is the total of an addition problem.

Addition of Positive Numbers

Most commonly, people add together positive numbers. Positive numbers are numbers greater than 0. The sum of 2 positive numbers is always greater than the addends. For example:

The sum of these positive numbers, 5, is greater than the larger number, 3. However, the addition of positive numbers is not the only way to add.

Addition of Negative Numbers

Negative numbers are numbers less than 0. If you add negative numbers, then the sum will be less than the addends. So, the statement above is not true. For example:

In this case, the sum, 1, is less than the larger number, 3. This disproves the statement given.

Step-by-step explanation:

the answer

(3x-2)(4y-3)

Answer: (3x-2)(4y-3)

Step-by-step explanation:

Answer:

c = -(7/5)a + 15

Step-by-step explanation:

c= (8-15)/(4-0)×a+15

c= -(7/5)a + 15

{2, 3, 4, 5, 5, 7, 7, 9, 10} is the required dataset to represent the boxplot.

Statistics is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.

Given,

boxplot with the minimum of 2

lower quartile value of 3,

median of 5,

upper quartile of 9,

and maximum of 10

In the given data sets {2, 3, 4, 5, 5, 7, 7, 9, 10} represents boxplot with the minimum of 2, lower quartile value of 3, median of 5, upper quartile of 9, and maximum of 10

Hence,  {2, 3, 4, 5, 5, 7, 7, 9, 10} is the required dataset to represent the boxplot.

To learn more on Statistics click:

https://brainly.com/question/29342780

#SPJ1

Each correct pair using Principle of Zero Products are-

Part a: (x-9)(3x + 4) = 0: x = 9 or x = -4/3

Part b: (x-4) (9x + 1) = 0: x = 4 or x= -1/9

Part c: (x+9)(3x-4)= 0:  x = -9 or x = 4/3

Part d: (x+4)(9x-1)=0; x = -4 or x = 1/9

For the stated equation-

Part a: (x-9)(3x + 4) = 0

Equating each term to zero;

(x-9) = 0

x = -9

And, (3x + 4) = 0

x = -4/3

Option: x = 9 or x = -4/3

Part b: (x-4) (9x + 1) = 0

Equating each term to zero;

(x-4) = 0

x = 4

And, (9x + 1) = 0

x = -1/9

Option;  x = 4 or x= -1/9

Part c: (x+9)(3x-4)= 0

Equating each term to zero;

(x+9) = 0

x = -9

And, (3x-4) = 0

x = 4/3

Option: x = -9 or x = 4/3

Part d: (x+4)(9x-1)=0

Equating each term to zero;

(x+4) = 0

x = -4

(9x-1)

x = 1/9

Option: x = -4 or x = 1/9

To know more about the zeros of the equation, here

https://brainly.com/question/22247014

#SPJ1

The complete question is-

Solve each of the following equations using the Principle of Zero Products and match it to its correct pair of solutions on the

right.

Each pair on the right will be used once.

(x-9)(3x + 4) = 0

(x-4) (9x + 1) = 0

(x+9)(3x-4)= 0

(x+4)(9x-1)=0

x = -4 or x = 1/9

x = -9 or x = 4/3

x = 9 or x = -4/3

x = 4 or x= -1/9

Answer:

Step-by-step explanation:

There are 60 Seconds in a Minute.

60/10 = 6

25 x 6 = 150 beats in one minute

Answer: 150

The height of the tower is 2358 feets.

David is standing 500 feet away from the base of a cell phone tower.

The angle of elevation from his eyes to the top of the tower is 78°. David eyes are 6 feet above the ground . The height of the tower can be found as follows:

This situation forms a right angle triangle. Therefore,

using trigonometric ratios,

tan 78° = opposite / adjacent

tan 78° = x / 500

cross multiply

x = 500 tan 78°

x = 500 × 4.70463010948

x = 2352.31505474

Therefore,

height of the tower = 2352 + 6

height of the tower = 2358 ft.

learn more on angle of elevation here:https://brainly.com/question/15454184

#SPJ1

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

If his employer pays 60% of the cost. The annual premium amount for Jonathan's group health insurance is $2,550.

Annual premium can simply be defined as the premium a person is expected to pay per year or annually.

First step is to find the cost

Cost = $85/ (1-.60)

Cost = $85/.40

Cost = $212.5

Now let find the annual premium amount

Annual premium amount = Cost × 12 months

Annual premium amount = $212.5 × 12 months

Annual premium amount = $2,550

Therefore the annual premium amount  is the amount of $2,550.

Learn more about annual premium amount here:https://brainly.com/question/25280754

#SPJ1

Answer:

x= -9

Answer:

[tex]\boxed{\boxed{\tt x=-9}}[/tex]

Step-by-step explanation:

[tex]\tt 3x+\left(-1\right)=-10+2x[/tex]

[tex]\tt 3x-1=-10+2x[/tex]

Subtract 2x from both sides:-

[tex]\tt 3x-1-2x=-10[/tex]

Combine 3x and -2x to get x:-

[tex]\tt x-1=-10[/tex]

Add 1 to both sides:-

[tex]\tt x=-10+1[/tex]

Add -10 and 1 to get -9:-

[tex]\tt x=-9[/tex]

____________________

Hope this helps you!

Have a great day!

Answer:

48 miles

Step-by-step explanation:

i think thats it.

Answer: 4.

Step-by-step explanation: 8+8=16. count how many more until you get to 24, that is 8. Split 8 in half. We get 4.

                                Hope this helps!

Answer: $1750

Step-by-step explanation:

7000x$0.25 = $1750

The total charge /cost c of taxi company's for a trip of d miles will be

c = 0.6 d + 1.2

What is mile with example?

Let c be the cost/charges and d be the miles.

Let $3/mile be the basic charge as well as the cost for the distance covered.

For 6 mile trip , the cost is $ 4.80 , then the cost of 3 miles is

          $ 4.80 - $ 3.00 = $ 1.80

Therefore, the cost for 1 mile is $ 1.80 / 3 = $ 0.60

The basic fee for hiring the cab is $ 3.00 - $ 1.80 = $ 1.20.

Therefore the total charge /cost c of taxi company's for a trip of d miles will be

 Total cost = cost for 1 mile + basic fee for hiring the cab

                c = 0.6 d + 1.2

If the formula is correct we get the given cost :

For 3 miles , then the cost c = 0.6(3) + 1.2 = $ 3.00

For 6 miles , then the cost c = 0.6(6) + 1.2 = $ 4.80

To learn more about miles check the given link

brainly.com/question/29806974

#SPJ1

Answer:

√2 is irrational.

Step-by-step explanation:

√2 = p/q, where 'p' and 'q' are integers, q ≠ 0 and p, q have no common factors (except 1). Thus, p and q have a common factor 2. This statement contradicts that 'p' and 'q' have no common factors (except 1). We can say that √2 is not a rational number.

May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 6 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!

Answer:

x = 11

Step-by-step explanation:

Since it's given n || m, we can write the following equation to find the value of x:

9x - 3 = 7x + 19 because these two are alternate exterior angles and have equal angle measurement.

9x - 7x = 19 + 3

2x = 22

x = 11

The interest rate for a ​$6000 deposit accumulating to ​$​6957, compounded annually for 6 years is r=2.49%.

The interest rate is the amount charged by the lender to the borrower over and above the principal amount. In terms of the receiver, a person who deposits money in any bank or financial institution obtains additional revenue due to the time value of money, which is referred to as interest received by the depositor.

Here's a simple interest formula: Interest = P x R x T, P = Principal Amount (the beginning balance).

Given, Amount=6957, P=6000, t=6 years

A=P[tex](1+(r/n)^{nt}[/tex]

6957=6000(1+(r/1))[tex](1+(r/1))^{6}[/tex]

[tex](1+(r/1))^{6}[/tex]=6957/6000

=1.1595

ln[tex](1+(r/1))^{6}[/tex]=ln(1.1595)

6(1+(r/1))=ln(1.1595)

(1+(r/1))=ln(1.1595)/6=0.0246

(1+(r/1))=[tex]e^{0.0246}[/tex]

1+r=1.02490508

r=0.02490508

r=2.49%

The interest rate for a ​$6000 deposit accumulating to ​$​6957, compounded annually for 6 years is r=2.49%.

To know more about interest rate, visit:

https://brainly.com/question/13324776

#SPJ1

markdown = 20% x $300

markdown = $60

$300 - $60

sale price = $240

Answer: -21

Step-by-step explanation:

[tex]x+2=-19\\\\What\ value\ of\ x\ will\ make\ the\ left\ side\ equal\ to\ -19?\\\\Well,\ if\ we\ subtract\ 2\ from\ both\ sides,\ we\ get\ our\ answer...\\\\x+2-2=-19-2\\\\The\ 2\ and-2\ on\ the\ left\ cancel\ out\ leaving\ us\ with\\\\\boxed{x=-21}[/tex]

We can check our work by plugging back in -21 for x and getting -19 = -19

Mathematically, it will take you 315 minutes (5 hours, 15 minutes) at most to visit with all 7 clients.

We can employ mathematical operations, including addition, subtraction, division, and multiplication to determine the total time required to visit the seven clients.

Since we know that a client requires 3/4 hours or 45 minutes of your visiting time, we can multiply 45 minutes by 7.

The product of the multiplication operation gives 315 minutes, which we can convert into hours and minutes by a division operation.

The number of clients visiting today = 7

The time it a client requires of your visit time = 3/4 hours

3/4 hours = 45 minutes (0.75 x 60)

For the 7 clients, it will take you 315 minutes (45 x 7)

315 minutes equal 5 hours and 15 minutes.

Thus, using basic mathematical operations, we can conclude that, at most, you require 5 hours and 15 minutes to attend to all seven clients today.

Learn more about mathematical opeations at https://brainly.com/question/20628271

#SPJ1

The quantity of the cups of flour that would be added would be = 12 cups.

Flour is the product of wheat grains that is commonly used for baking of dough and it measured with measuring cups or weighting scales.

According to the recipe from the given question above;

2 cups of flour = 1/4 of raisin

X cups of flour = 1½ of raisin

Make X cups of flour the subject of formula:

X cups = 2×1½ /¼

X cups = 3/¼

X cups = 3×4 = 12 cups.

Learn more about fraction here:

https://brainly.com/question/17220365

#SPJ1

Answer:

The rate of change is the same for both A and B (2)

Step-by-step explanation:

In the equation, the rate of change is shown as the coefficient of the variable x.  That is the number before the x which is 2.

In the table you find the rate of change as the change in y over the change in x.  In the table the y's are increasing by 4 (3- -1), 2 (5-3) and 4 (9-5).  The x's are increasing by 2 (3-1), 1 (4-3) and 2 (6-4).

If I take the change in y over the change in x, I will get 4/2 = 2, 2/1 = 2 or 4/2 = 2

From the table the rate of change is also 2.

Answer:

sum of angles in a triangle is 180

it is an equilateral triangle so each angle gets 60 degrees.

6x +6 is 60

6x is 60 - 6

6x is 54

divide both sides by 2

6x/6 is 54/2

x is 9