Which equations are correct?

Select each correct answer.




[tex]4c^4(3c^2)=12c^8[/tex]

[tex]3b^3(−2b^4)=−6b^12[/tex]

[tex]5y^4(2y^5)=10y^9[/tex]

[tex]5x^3(6x^4)=30x^7[/tex]

Answers

Answer 1

9514 1404 393

Answer:

  C, D

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

__

The correct equations are the last two.

For the first two, the appropriate products are ...

  [tex]4c^4(3c^2)=4\cdot3c^{4+2}=12c^6\\\\3b^3(a^2b^4)=3a^2b^{3+4}=3a^2b^7[/tex]

Which Equations Are Correct?Select Each Correct Answer.[tex]4c^4(3c^2)=12c^8[/tex][tex]3b^3(2b^4)=6b^12[/tex][tex]5y^4(2y^5)=10y^9[/tex][tex]5x^3(6x^4)=30x^7[/tex]

Related Questions

please i need this done in an hour

Answers

You need to compare the size to your ruler then you cans find the answer

Peter is calculating the interest earned on a
deposit of $275 in an account that earns 8%
simple interest after 12 years.

Answers

Answer:

a) He substituted 0.8 instead of 0.08.

b) $264

Step-by-step explanation:

The full question is: a. What did Peter do incorrectly? b. What is the correct amount of interest?

Using the equation [tex]I=prt[/tex], we can substitute the given values.I = 275 x 0.08 x 12I = 264

SOMEONE HELP PLZ!!!!!! ​

Answers

Answer:b

Step-by-step explanation:

Select the values that makes the inequality -w≥ 7 true. Then write an equivalent inequality, in terms of w

Answers

The values of [tex]w[/tex] that make the inequality [tex]-w\ge7[/tex] true are

[tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. An equivalent inequality, in terms of [tex]w[/tex], is [tex]w\le-7[/tex]

To get the values that make the inequality true, we have to solve the inequality for [tex]w[/tex]. This will also give an equivalent inequality in terms of [tex]w[/tex]

[tex]-w\ge7\\\\\implies \dfrac{-w}{-1}\le\dfrac{7}{-1}\\\\w\le-7[/tex]

the solution set is the set of values [tex]\{... ,-11,-10,-9,-8,-7\}[/tex]. In other words, [tex]w[/tex] can take up values less or equal to [tex]-7[/tex] to make the inequality  [tex]-w\ge7[/tex] true

Also, the inequality equivalent to [tex]-w\ge7[/tex] is [tex]w\le-7[/tex]

Learn more about solving inequalities here https://brainly.com/question/12306534

Samantha created part of a table to show her savings. She saved at the same rate each week. Which graph shows this relationship?

Answers

Answer:

The answer is B

Step-by-step explanation:

because it is going up by 6 so graph B is the only graph going up by 6.

The  correct graph is with $6, $12, $18, $24.

What is Graph?

The graph is simply a structured representation of the data. It aids in our comprehension of the data. The numerical information gathered through observation is referred to as data.

In a line graph, the information or data is represented as a series of markers, or dots, and is then connected to one another by a straight line.

Usually, data that varies over time is represented with a line graph.

Given:

As, from the given graph

The saving increases each week at the same rate therefore saving increases from 3rd to 4th week is 6$. this means that saving increases $6 each week.

Hence, option to is correct with $6, $12, $18, $24.

Learn more about graph here:

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Given that x² -x -2 is a factor of x³ +3 x² +ax +b, calculate the values of a and b and hence find the remaining factor.

Answers

Answer:

[tex]a = -6, b = - 8[/tex]

Remaining factor = [tex]x+4[/tex]

Step-by-step explanation:

Given that:

Two polynomials:

[tex]x^{2} -x-2[/tex] and [tex]x^3 +3 x^2 +ax +b[/tex]

[tex]x^{2} -x-2[/tex] is a factor of [tex]x^3 +3 x^2 +ax +b[/tex].

To find:

The values of [tex]a[/tex] and [tex]b[/tex] from the cubic equation and the remaining factor.

Solution:

Let us first of all, factorize [tex]x^{2} -x-2[/tex].

[tex]x^{2} -2x+x-2=0\\\Rightarrow x(x-2)+1(x-2)=0\\\Rightarrow (x+1)(x-2)=0\\\Rightarrow x = -1, 2[/tex]

There are two factors of the given quadratic equation.

These two factors must also be factors of the cubic equation as well.

Putting [tex]x = 2[/tex]:

[tex]2^3 +3 \times 2^2 +a\times 2 +b =0\\\Rightarrow 2a+b=-20 ..... (1)[/tex]

Putting [tex]x = -1[/tex]:

[tex](-1)^3 +3 \times (-1)^2 +a\times (-1) +b =0\\\Rightarrow -a+b=-2 ..... (2)[/tex]

Subtracting (2) from (1):

[tex]3a = -18\\\Rightarrow a = -6[/tex]

From equation (1):

[tex]2\times (-6) + b=-20\\\Rightarrow b = -8[/tex]

Putting the values of [tex]a[/tex] and [tex]b[/tex] in the cubic equation, we get:

[tex]x^3 +3 x^2 -6x -8[/tex]

Dividing the cubic equation with quadratic, we get:

[tex]\dfrac{x^3 +3 x^2 -6x -8}{x^{2} -x-2} = x+4[/tex]

what is
4.1 - 1.25 over 0.005


Answers

Answer:

Step-by-step explanation:

4.1-1.25=2.85

lets divide

2.85/0.005=570

Answer:

2.85/0.005=570

Step-by-step explanation:

Hope this helped have an amazing day!

Gerard concluded that the triangle with sides StartRoot 95 EndRoot feet, 8 feet, and StartRoot 150 EndRoot cannot be used as a building frame support on the house because it is not a right triangle. How did Gerard come to that conclusion? Explain.

Answers

Answer:

Check explanations for answer

Step-by-step explanation:

Here, we want to find out how Gerard came to the conclusion

For him to arrive at this conclusion, then we should consider the lengths given if they form a right triangle and are suitable for the building frame

From the lengths that we have

If we square the longest length, then the sum of the squares of the two other lengths should be the same as it is

This is in obedience to Pythagoras’ theorem

However, this does not hold

√(150)^2 is not equal to 8^2 + (√(95))^2)

and so since this does not work, then the triangle is not right-angled and cannot be use as the frame

Answer:

Step-by-step explanation:Sample Response: Gerard determined that the squares of the two smaller sides did not equal the square of the longest side. The side lengths did not create a true statement of the Pythagorean theorem.

Help ???? Please it will be appreciated

Answers

The answer is 200 metres as the price increases by 3.9 for every increase in 30 metres.
The person above me is correct. I did the math

At Kenji's Swimwear, 30% of the 70 swimsuit styles are bikinis. How many bikini styles are there?

Answers

Answer:

21

Step-by-step explanation:

30 ÷ 100 x 70

My Answer:

21  bikini styles

Step-by-step explanation/math I took to do the problem:

30 ÷ 100 x 70

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!

Answers

The third side is = 4

This is a perfect square. Also, using the Pythagorean theorem you can find the third side

3squared + xsquared = 5 squared
9 + xsquared = 25
xsquared = 16
sqrt of 16 = 4

Answer:

Step-by-step explanation:

Remark

It's a right triangle so you can use a^2 + b^2 = c^2

a = 3

c = 5

3^2 + b^2 = 5^2         Expand

9 + b^2 = 25              Subtract 9 from both sides

b^2 = 25 - 9

b^2 = 16                     Take the square root of both sides.

√b^2 = √16

b = 4

HELPPPP ASAPPP PLEASE
Picture attached

Answers

Answer:

First choice

Step-by-step explanation:

Answer: Find 9 on the number line and move 5 to the left. The stopping point of 4 is the sum of this expression.

a force of 12N acts for 5 s on a mass of 2 kg. What is the change in momentum of a mass of 10kg under the same condition​

Answers

Answer:

The change in momentum is: 60 N.s

Step-by-step explanation:

By Newton's second law:

F = ∆p / ∆t

Given that

∆t = 5sF = 12N

Using the formula to determine the change in momentum

F = ∆p / ∆t

∆p = F × ∆t

     = 12 × 5

      = 60 N.s

Therefore, the change in momentum is: 60 N.s

Can someone help me with this question plzzzzz

Answers

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[tex]7d + d - 4d - 7 = 5d[/tex]

[tex]8d - 4d - 7 = 5d[/tex]

[tex]4d - 7 = 5d[/tex]

[tex]5d = 4d - 7[/tex]

Subtract sides 4d

[tex] - 4d + 5d = - 4d + 4d - 7[/tex]

[tex]d = - 7[/tex]

Thus the correct answer is Option three.

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Selena is baking chocolate chip cookies. The recipe calls for 2 1/3 cups of semi-sweet chocolate chips. If she has already put in 1 1/2 cups into the batter , how many more cups of chocolate chips should be added to the batter?​

Answers

Answer:

5/6

Step-by-step explanation:

If you minus 1 1/2 from 2 1/3 you get 5/6 left.

Please mark brainliest.

5/6 cups of more chocolate chips should be added to the batter.

Given that, the recipe calls for [tex]2\frac{1}{3}[/tex] cups of semi-sweet chocolate chips. Selena has already put in [tex]1\frac{1}{2}[/tex] cups into the batter.

What is a fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Number of more cups of chocolate chips should be added to the batter = [tex]2\frac{1}{3}-1\frac{1}{2}[/tex]

= 7/3 - 3/2

= 14/6 - 9/6

= (14-9)/6

= 5/6

Therefore, 5/6 cups of more chocolate chips should be added to the batter.

To learn more about the fractions visit:

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-10×5+5=-9×5 is this a true or false statement

Answers

Answer:

True

Step-by-step explanation:

-10×5+5=-9×5

-45=-45

So it's 100% true

Because -45 is equal to -45

Write an equation of the line that passes through (7,10) and is perpendicular to the line y =1/2x-9.

Answers

It would be Y=-2x+24

Simplify the Expression(20 points)-
-m - 7m

Answers

Answer:

-8m

Step-by-step explanation:

Combine like terms

7

{\color{#c92786}{-m}}{\color{#c92786}{-7m}}

−m−7m

8

{\color{#c92786}{-8m}}

−8m

6th grade math i mark as brainliest​

Answers

Answer:

36/s

Step-by-step explanation:

The / means divide since I couldn't find the division sign. The / is also another way to write the division sign.

Answer:

36/s

Step-by-step explanation:

George earns commission as a percentage of his tuxedo sales. On Tuesday, he sold $750 worth of tuxedos and earned $60
commission. What is George's commission rate?

Answers

Answer:

8%

Step-by-step explanation:

1% of 750 is 7.50

So 60 divided by 7.5 is 8

A standard painkiller is known to bring relief in 3.5 minutes on average LaTeX: \muμ. A new painkiller is hypothesized to bring faster relief to patients. A sample of 40 patients are given the new painkillers. The sample yields a mean of 3.0 minutes and a standard deviation of 1.1 minutes. Using a level of significance LaTeX: \alpha = 0.05α = 0.05, the rejection region for the test is:

Answers

Answer:

Reject H0 if Z ≤ critical value

- 2.8747978 ≤ 1.645

Step-by-step explanation:

Setting the null and alternative hypothesis :

H0 : μ = 3.5

H1 : μ < 3.5

Sample size (n) = 40

Mean (m) = 3 minutes

Standard deviation (s) = 1.1 minutes

Test statistic : Z = (m - μ) / (s/√n)

Z = (3 - 3.5) / (1.1/√40)

Z = - 0.5 / 0.1739252

Z = - 2.8747978

Zcritical at α 0.05 = 1.645

This is a left tailed test :

Hence rejection region:

Reject H0 if Z ≤ critical value

- 2.8747978 ≤ 1.645

Math question can you please help and can you breakdown how you got your answer

Answers

Answer:

8

Step-by-step explanation:

AB=DC

BC=AD

BA=CD

CB=DA

how much weight did the kitten gain in that month?

Answers

Answer:

21 ounces

Step-by-step explanation:

https://brainly.com/question/15457567

Answer:

about 2 pounds

At two months the kittens weigh about 2 pounds and can be spayed or neutered.

hope this helps

i put $100 in a savings account at v% yearly interest. How much money will i have in my account at the end of the year

Answers

Complete question :

i put $100 in a savings account at v% yearly interest. How much money will i have in my account at the end of the year

Answer:

100 + v

Step-by-step explanation:

Given that:

Interest yearly = v%

Amount deposited = principal = $100

Amount earned at the end of the year:

A = P(1 + rt)

A = 100(1 + 0.01v)

A = 100 + v

Where A = final amount

Final amount at the end of the year = 100 + v

Which number is a solution of the inequality? 8

Answers

Answer:

i need more info or i cannot help

Answer: -1

Step-by-step explanation:Solve: 8(7−x)<64.Divide both sides by 8.7−x<6487−x<8Subtract 7 from both sides.−x<8−7−x<1Multiply both sides by −1. This will reverse the inequality.x>−1

Pleaseeeee answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

45 miles

Step-by-step explanation:

Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula [tex]a^{2} +b^{2} =c^{2}[/tex]. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So [tex]c^{2}[/tex] = 2025. Find the square root of 2025. [tex]\sqrt{2025}[/tex] = 45. Hope this helped ^^

Which point below is a solution to the equation y = 2x + 3?
A (145, 291)
B (78, 163)
C (37, 77)

Answers

Answer:

C (37, 77)

Step-by-step explanation:

Option A:

[tex]291=2(145)+3\\\\291=290+3\\\\\boxed{291\neq 293}[/tex]

Option A is not a solution.

Option B:

[tex]163=2(78)+3\\\\163=156+3\\\\\boxed{163\neq 159}[/tex]

Option B is not a solution.

Option C:

[tex]77=2(37)+3\\\\77=74+3\\\\\boxed{77=77}[/tex]

Option C is a solution.

Hope this helps.

Answer:

C

Step-by-step explanation:

To determine which point is a solution, substitute the x- coordinate into the equation and if the value is equal to the y- coordinate then it is a solution

A (145, 291 )

y = 2(145) + 3 = 290 + 3 = 293 ≠ 291 ← not a solution

B (78, 163 )

y = 2(78) + 3 = 156 + 3 = 159 ≠ 163 ← not a solution

C (37, 77 )

y = 2(37) + 3 = 74 + 3 = 77 ← solution to the equation

Someone please help with this question!

A bakery used 475 pounds of apples to make 1,000 apple tarts. Each tart contains the same amount of apples. How many apples are used in each tart?

Answers

Answer:

There are 0.475 pounds of apples in each tart.

I arrived in this number by dividing the total number of pounds by the total number of tarts made.

475 pounds divided by 1000 tarts is equal to 0.475 pounds per tart.

475 lbs/1000 tarts = 0.475 lbs/tart

So, if you are to bake a certain number of tarts and need to know the total number of pounds of apple needed to bake you can use this equation.

y = 0.475x

where y represents the total number of pounds needed to bake x number of tarts with a fixed 0.475 pounds per tart.

Step-by-step explanation:

a rectangular room is 6 meters longer than it is wide, and it's perimeter is 32 meters. Find the dimensions of the room​

Answers

Answer:

length: 11m. width: 5m. Hope this helps

2 power of 3 x (8 + 4 - 10)

(PEMDAS)

Answers

Answer:

16

Step-by-step explanation:

First do the operations in the parentheses.

8+4-10 = 2

Then do 2^3.

2^3 = 2*2*2 = 8

Then do 8*2

16

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