) Factorize fully
1. 2x^2yz-32x^2y^3z

Answers

Answer 1

Answer:

2x²yz(1 - 4y)(1 + 4y)

Step-by-step explanation:

Given

2x²yz - 32x²y³z ← factor out 2x²yz from each term

= 2x²yz(1 - 16y²) ← difference of squares

= 2x²yz(1 - 4y)(1 + 4y)


Related Questions

There are 6 roses in a vase of 11 flowers. The rest are daisies. What is the ratio of daises to roses?

Answers

Answer:

5:6

Step-by-step explanation:

1: Minus 11 (all flowers) by 6 (roses) = 5

2: Put daisies before roses, because it says daises to roses.

3: Your answer should be 5:6

Ur welcome

[tex]e^{4x-5} -7 = 11, 243[/tex]

Solve the exponential equation. Use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.

Answers

Answer:

x = 3.58

Step-by-step explanation:

[tex]e^{4x - 5}[/tex] - 7 = 11243[tex]e^{4x - 5}[/tex] = 11250ln [tex]e^{4x - 5}[/tex] = ln 112504x - 5 = ln 112504x - 5 = 9.33 (rounded)4x = 14.33x = 14.33 / 4x = 3.58 (rounded)

Answer:

x = 3.58 (2 d.p.)

Step-by-step explanation:

Given equation:

[tex]e^{4x-5}-7=11243[/tex]

Add 7 to both sides:

[tex]\implies e^{4x-5}-7+7=11243+7[/tex]

[tex]\implies e^{4x-5}=11250[/tex]

Take natural logs of both sides:

[tex]\implies \ln e^{4x-5}=\ln 11250[/tex]

[tex]\textsf{Apply the power law}: \quad \ln x^n=n \ln x[/tex]

[tex]\implies (4x-5)\ln e=\ln 11250[/tex]

As ln(e) = 1:

[tex]\implies 4x-5=\ln 11250[/tex]

Add 5 to both sides:

[tex]\implies 4x-5+5=\ln(11250)+5[/tex]

[tex]\implies 4x=\ln(11250)+5[/tex]

Divide both sides by 4:

[tex]\implies \dfrac{4x}{4}=\dfrac{\ln(11250)+5}{4}[/tex]

[tex]\implies x=\dfrac{\ln(11250)+5}{4}[/tex]

Using a calculator:

[tex]\implies x=3.582030852...[/tex]

Therefore:

[tex]\implies x=3.58\:\: \sf (2 \: d.p.)[/tex]

Learn more about log laws here:

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A number is added to ⅔ of itself.
If the same number is doubled,
write down the final expression.​

Answers

Answer:

4/3

Step-by-step explanation:

⅔ + ⅔ = 4/3

-2 log5 (7x) = 2........

Answers

Answer:

Answer is x= 1/35

Step-by-step explanation:

......

what is the highest fractions 2/4 5/6 3/2 1/9 4/5 8/2 ​

Answers

Answer:

8/2

eight halves

Step-by-step explanation:

please mark this answer as brainliest

what is the product of (5x-8)(2x+6)

Answers

Answer:

10x^2+14x-48

Step-by-step explanation:

5x*2x=10x^2

5x*6=30x

-8*2x=-16x

-8*6=48

combine them and you'll get 10x^2+14x-48

Answer:

24x-48

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

5x*2x=10x

5x*6=30x

-8*2x=-16x

-8*6=-48

40x-16x=24x

24x-48

Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5.00 for rolling a 1 or a 6, nothing otherwise. What is your expected value?

A. $5.00

B. –$1.33

C. $3.00

D. –$3.00

Answers

Answer:

I would say D

Step-by-step explanation:

I say D because there is only a 2/6 chance of getting the 5 bucks so it's more likely to get no money back and lose the 3 bucks

Choose the correct future tense form of the verb in parentheses.

Ellos (saber) la verdad.

sabré
sabrás
sabremos
sabrán
.

Answers

Answer:

The correct future tense would be sabrán, which basically means they will know in English.

Step-by-step explanation:

Since the question states "Ellos" (they) as in a group of people, sabrán would be the right one.

These words (in order) basically roughly mean

I will know

You will know

We will know

THEY will know

Answer:

D. sabrán

Step-by-step explanation:

The form of the verb, saber, has to match the form of the pronoun that is doing the action. "Ellos" is doing the action, and ellos means "they". The "they" form of a verb ends with an "en" or "an". So your best answer is sabrán.

Please click the heart if this helped.

Someone please help me
Solve 6a + 5a= -11

Answers

Answer:

hi

Step-by-step explanation:

6a+5a= -11

11a= -11

a= -11/11

a= -1

hole it helps

have a nice day

Where is the blue dot on the number line?

Answers

Answer:

-11.3

Step-by-step explanation:

You start off at -11 and count down and it ends up at -11.3

please help me solve 8x+2y=32 and 10x-5y=-20

its solve by subsitution
please include steps and answers

Answers

Answer:

(2,8)

x = 2

y = 8

Step-by-step explanation:

The steps are shown in the picture

On Tuesday the train journey took 7 hours and 20 minutes and began at 13 53. (i) At what time did the train journey end? [1] (ii) Tuesday's time of 7 hours 20 minutes was 10% more than Monday's journey time. How many minutes longer was Tuesday's journey?

Answers

i)It ended at  21:13

ii) 440*10/100

44 mins longer

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

110% = 440 minutes (Tuesday journey)

100% = 100/110 x 440

100% = 400 minutes (Monday journey)

Tuesday's journey took 40 minutes longer than Monday's journey.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

On Tuesday the train journey took 7 hours and 20 minutes and began at

13:53.

The time train journey ended.

= 13:53 + 7 hours + 20 minutes

= 13 hours + 53 minutes + 7 hours + 20 minutes

= 20 hours + 73 minutes

= 20 hours + 60 minutes + 13 minutes

= 20 hours + 1 hour + 13 minutes

= 21 hours + 13 minutes

This means,

= 21:13

The train ended the journey at 21:13

Tuesday's time of 7 hours and 20 minutes was 10% more than Monday's journey time.

This means,

Converting into minutes.

7 hours 20 minutes

= 60 x 7 + 20 minutes

= 420 minutes + 20 minutes

= 440 minutes

Monday's journey time.

110% = 440 minutes:

100% = 100/110 x 440

100% = 400 minutes

Thus,

Tuesday's journey took 40 minutes longer than Monday's journey.

Learn more about percentages here:

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36^x-2=6 solve for x

Answers

Answer:

x = [tex]\frac{in (8)}{in (36)}[/tex]  if you consider doing decimal form x = 0.58027921. . .

Step-by-step explanation:

Take logarithm of both sides of the equation to remove the variable from the exponent.

Maria deposits $1,950 into a savings account that earns simple interest at a rate of 3%. She makes no withdrawals. How much interest has Maria’s account earned after 4 years?

Answers

Answer:

x = .06418

Step-by-step explanation:

2 + (9.2)−8x = 2.32

(9.2)−8x = 2.32 − 2

log (9.2)−8x = log .32

−8x log 9.2 = log .32

−8x log 9.2

−8 log 9.2

=

log .32

−8 log 9.2

x = .06418

Can anybody tell the answer to this please!?

Answers

Answer:

the height when it was planted

Step-by-step explanation:

it started at 13 and grew 2.5 inches a week

What is0.4¯ expressed as a fraction in simplest form?

Answers

Answer:

4 as a fraction is 2/5. Here you can submit another decimal number for us to convert to a fraction. Check out the next decimal number on our list that we converted to a fraction.

Step-by-step explanation:

pls mark me brainless to feed my frogs

Answer:

2/5

Step-by-step explanation:

A rectangular garden has dimensions of 100ft by 10ft next season the garden is decreased by 2/3 of its size what is the scale of the new drowning

Answers

The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.

Answer:

1 inch = 8.333 feets

Step-by-step explanation:

Initial dimension of rectangle :

100 feets by 10 feets

Fractional decrease in garden = 2/3

New Dimension of garden :

2/3(100 feets) by 2/3(10 feets)

66.667 feets by 6.6667 feets

Hence

From the picture attached :

8 inch = 66.667

1 inch = 8.333

The new scale of the drawing = 1 inch = 8.333 feets

Your classmate says that the solutions to the given inequality are x > -2. Look carefully at the work. Should your friend have reversed the inequality​ symbol? Explain. Then solve the inequality correctly.

Please don't send those annoying files, I'm not trying to get a virus on my laptop. Please, if you can, just write out the steps/answer(s).

Answers

Answer:

x < -2 (No, he shouldn't have reversed the inequality symbol).

Step-by-step explanation:

Given the algebraic expression;

19 - 2(1 - x) < 13

Opening up the bracket, we have;

19 + (-2*1) + (-2*-x) < 13

19 + (-2) + (2x) < 13

19 - 2 + 2x < 13

17 + 2x < 13

Rearranging the equation, we have;

2x < 13 - 17

2x < -4

Dividing both sides by 2, we have;

x < -2

Hence, your friend shouldn't have reversed the inequality symbol (sign).

Note: you should only flip the inequality symbol (sign) when you're dividing by a negative number such as -2.

For example, if we had re-arranged the equation as;

17 - 13 < -2x

4 < -2x

Dividing both sides by -2, we have;

4 > x

Carl ordered a refrigerator that weighs 192 pounds. It was shipped to him inside a box and
surrounded by packaging material. The total weight of the refrigerator, box, and packaging
material was 205 pounds.
What is the weight of the box and packaging material?
Enter your answer in the box.
pounds

Answers

Answer:

13 pounds

Step-by-step explanation:

We know that the total weight of everything is 205 pounds, and the fridge itself is 192 pounds. So we need to calculate the weight of everything that is not a fridge, which would be:

205 - 192 = 13 pounds

That means that the box and the packaging is 13 pounds. Hope this helps!

Which fractions are equivalent to the fraction below? Check all that apply.
9/21
A.3/22
B.18/42
C.3/7
D.3/28

Answers

Answer:
B. 18/42
C. 3/7

PLEASE HURRY TIMED BRAINLIEST
Which transformations are needed to change the parent cosine function to the cosine function below?

Answers

Answer:

Answer is D

Step-by-step explanation:

Did it on Edge

The transformations are needed to change the parent cosine function to the cosine function is

Vertical stretch of 2 and horizontal compression to a period π/2 and phase shift to π unit left and vertical shift of 1 unit down.

What is Transformation?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

If you stretch cosine function by a factor of 2, maximum will be y = 2 and minimum will be y = -2.

and, after that you shift it 1 unit down maximum will be y = 1 and minimum will be y = -3

So, vertical stretch of 2 and horizontal compression to a period π/2.

Now, the phase shift to π unit left and vertical shift of 1 unit down.

Learn more about Transformation here:

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Help asap! No links or weird answers, please :(

The question and answer choices are in the picture below. The question is about scatter plots.

Answers

Answer: b

Step-by-step explanation:

im guessing

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

Question 1: Answer D - 4th degree trinomial

Question 2: Answer D - IV, I, II, III

At Silver Gym, membership is $30 per month, and personal training sessions are $45 each. At Fit Factor,
membership is $90 per month, and personal training sessions are $35 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy
equal.
personal training sessions to make the total cost at the two gyms

Answers

Answer:

6 sessions

Step-by-step explanation:

s= session

silver gym: 30 +  45s

session 1: 75

session 2: 120

session 3: 165

session 4: 210

session 5: 255

session 6: 300

fit factor: 90+ 35s

session 1: 125

session 2 : 160

session 3: 195

session 4: 230

session 5: 265

session 6: 300

help me please

:)


i really need it

Answers

Answer:

3.5 qt or 3 qt and 2c

Step-by-step explanation:

4 cups makes 1 quart

14/4 = 3.5

"Both of us got to be just like Joe Louis toward the end" is an example of... *

metaphor
personification
alliteration
allusion

Answers

This is a metaphor because it was comparing

Help due in 10 minutes

Answers

Answer:

II and III are right

Step-by-step explanation:

The reason I is wrong is the zeros are (-2, 0) and (4, 0)

Need help take your time and thank yoh

Answers

Answer:

(x - 3)(x - 12)

Step-by-step explanation:

Assuming you require to factor the expression

x² - 15x + 36

Consider the factors of the constant term (+ 36) which sum to give the coefficient of the x- term (- 15)

The factors are - 3 and - 12, since

- 3 × - 12 = + 36 and - 3 - 12 = - 15 , then

x² - 15x + 36 = (x - 3)(x - 12) ← in factored form

Find the value of x and classify the triangle plzzz

Answers

Answer:

x=24°

The triangle is an obtuse isosceles triangle

Step-by-step explanation:

This is an obtuse isosceles triangle because it has two congruent sides, making it an isosceles triangle, and there is an obtuse angle, which is any angle greater than 90°.

The interior angles of a triangle add up to 180, so let's make an equation.

132+2x=180

Then solve for x

subtract 132 from both sides

2x=48

Divide by 2 on both sides

x=24

The answer would be X=24 obtuse isosceles triangle

the terminal side on an angle in standard position is ____
a. drawn with one end at the origin and the other at some angle to the initial side
b. connected to both ends of the initial side
c. always to the left of the initial side
d. rotated clockwise from the initial side as the angle increased

Answers

C) always to the left of the initial side

Have a good day!

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