What is the fully factored form of the expression 45x²y2 + 18x3

Answers

Answer 1

Answer:

9x^2(5y^2 + 2x).

Step-by-step explanation:

First find the Greatest Common Factor of the 2 terms.

GCF of 18 and 45 = 9

GCF of x^2 and x^3 = x^2.

The complete GCF is therefore 9x^2.

So, dividing each term by the GCF, we obtain:

9x^2(5y^2 + 2x).


Related Questions

Alice has five cards each with a number on them. Three of the numbers are shown. 3 8 5 ( I found another 5 as the mode is 5) 5 The mode of the five numbers on the cards is 5 The mean of the five numbers on the cards is 6 Work out the range of the five numbers on the cards. You must show your working.​

Answers

Answer:

last number is 9; range is 3-9

Step-by-step explanation:

since 5 is mode and 6 is mean, the 5 numbers must equal 30(as 30/5 is 6). 3+8+5+5 is 21, meaning last number is 9. therefore, range is 3-9 (largest and smallest)

Please help me on this!

Answers

Question : For which integer, x, does the value of g(x) begin to exceed the value of f(x) ?

A. 30

B. 29

C. 28

D. 27

ANSWER: B. 29

#learnalways #brainly

Step-by-step explanation:

Hope it's help

Brainliest

#Follow

If you have 1 apple and add two more apples every 10 minutes for five hours how many apples would you have

Answers

Answer: 61 apples

Step-by-step explanation:

Given:

1 apple

+2 apples = +10 minutes

1 hour = 60 minutes

60/10 = 6 x 2 = 12 apples/hr

12 x 5 = 60 apples for 5 hours

60 + 1 = 61 apples

7. Interest is compounded semianually. Find the amount in the account after the given time.

Answers

Answer:

$1,229.26

Step-by-step explanation:

Finding compound interest :

A = P (1 + r/n)^(nt)A = (1,000)(1 + 0.07/2)²⁽³⁾A = (1,000)(1.035)⁶A = (1,000)(1.22925533)A = $1,229.26

How many square tiles of side 20cm are needed to cover a floor 3.8m by 2.8m?​

Answers

Answer: 266

Step-by-step explanation:

Area of floor 3.8 × 2.8 = 10.64m²

Tiles 0.2m × 0.2m = 0.04m²

Number of titiles = 10.64/0.04

which value of m makes the inequality 10m-5<45

Answers

Answer:

m < 5

Step-by-step explanation:

10m-5 < 45

Add 5 to both sides

10m - 5 + 5 < 45 + 5

Simplify

10m < 50

Divide both sides by 2

10m/10 < 50/10

Simplify

m < 5

Kavinsky

Please help. Can't get calculator to work solve for x. Look at the picture.

Answers

Hey there!


4/5 = x/9

CROSS-MULTIPLY the fractions

4 * 9 = x * 5

4 * 9 = 5 * x

SIMPLIFY IT!
36 = 5x

5x = 36

DIVIDE 5 to BOTH SIDES

5x/5 = 36/5

SIMPLIFY IT!
x = 36/5


Therefore, the answer should be:
x = 36/5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

[tex] \boxed{ \boxed{\bf x= \cfrac{36 }{5} }\bf \: or\:\boxed{\bf x= 7.2}}[/tex]

Step-by-step explanation:

[tex] \bf \cfrac{4}{5} = \cfrac{x}{9} [/tex]

We first need to multiply both sides by 9.

[tex]\bf \cfrac{4}{5} \times 9 = x[/tex]

Let's put 4/5 × 9 as a single fraction.

[tex] \bf \cfrac{4 \times 9}{5} = x[/tex]

Multiply 4 and 9 = 36

[tex] \bf x= \cfrac{36 }{5} \: \: or\: \: x=7.2 [/tex]

«••••••••••••••«•°•»•••••••••••••••»

Simplify.
(A^2)^3+(A^-2)^-2
A. A^2
B. A^10
C. A^24
D. A^6+ A^4

Answers

A a^2 you wlc I think it’s right

please help!!! evaluate -|-8-2|

Answers

[tex]-|-8-2|\\\\=-|-10|\\\\=-10~~~~~~~~~~~~~~~~~~~~~~~~~~~;|-a| = a[/tex]

Answer: Heyaa! ~

Your Answer is... -10, Which is B.

Step-by-step explanation:

-|-8-2|

-|-10|

-10

Hopefully this helps you! ^

Convert each number from real to scientific notation.

11) 0.00006228

12) 0.00007243

13) 13,760

14) 839.1

15) 0.00006324

16) 0.003136

17) 0.00009435

18) 0.0006437

19) 0.001232

20) 0.007955

Answers

Answer:

6.228×10-⁵

7.243 × 10-⁵

1.376 ×10⁴

8.391×10²

6.324×10-⁵

3.136×10-³

9.435×10-⁵

6.437×10-⁴

1.232×10-³

7.955×10-³

4. If the diameter (across) is 30 cm, what is the measure of the radius? 30 cm Hint: The radius is 1/2 the diameter d=21.​

Answers

Answer:

If the diameter is 30 cm, the radius is 15 cm

Step-by-step explanation:

What is the diameter of a circle?

It's a straight line that runs from one side of the perimeter through the center to the other side of the perimeter.

The hint is exactly correct, the radius is a half of the diameter, or the diameter is 2 times the radius.

If the diameter is 30cm, the measure of the radius is 30 ÷ 2  ( = 15)

5 cm is the diameter 12 cm is the height was is the answer round to the nearest tenth

Answers

Answer:

03.97655 that will be there for answers

how many turtles die every year because of humans?

save the turtles

Answers

Between 30% to 44% every year

Answer:

We found, based on beach strandings, that more than 1,000 turtles are dying a year, after becoming tangled up, but this is almost certainly a gross underestimate. Young turtles and hatchings are particularly vulnerable to entanglement.” In recent years, global turtle population numbers have been falling.

4 Write always, sometimes, or never. 1. Multiplying a decimal by 104 shifts the decimal point 4 places to the right. a 2. The product of a whole number and a decimal number is a whole number 3. The product of two decimal numbers less than 1 is greater than either factor 4. The product of a number multiplied by 0.1 is 10 times as much as multiplying the same number by 0.01. ​

Answers

Answer:

1. Never

2. Sometimes

3. Never

4. Always

Step-by-step explanation:

hope this helps

Find the volume of the cylinder in terms
of pi
8 m
3.8 m
Answers
60.8
57.76
438.98
115.52

Answers

Answer:

115.52 m³

Step-by-step explanation:

As per given question we have provided that :

➟ Height of cylinder = 8 m➟ Radius of cylinder = 3.8 m

We need to find the volume of cylinder :

➟ Volume of cylinder = πr²h

Substituting all the given values in the formula to find the volume of cylinder :

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi {r}^{2}h}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(3.8)}^{2}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(3.8 \times 3.8)}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(14.44)}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi \times 14.44 \times 8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi \times 115.52}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 115.52 \pi \: {m}^{3}}}}[/tex]

[tex]{\star\underline{\boxed{\sf{\pink{Volume_{(Cylinder)}} = \purple{115.52 \pi \: {m}^{3}}}}}}[/tex]

Hence, the volume of cylinder is 115.52 m³.

[tex] \rule{200}2[/tex]

please help!!

-1,-6
1,-2
3,2

write the equations of a liner function that had a y-intercept greater than the function represented in the table and is parallel to the function y+ 1/4x=2

Answers

to get the equation of any straight line, we simply need two points off of it, so for the equation in the table, let'use the points in the picture below

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{2+2}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{2}(x-\stackrel{x_1}{1})\implies y+2=2x-2[/tex]

[tex]y=2x\stackrel{\stackrel{b}{\downarrow }}{-4}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so the equation in the table has a y-intercept of -4.

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y+\cfrac{1}{4}x=2\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{4}} x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}[/tex]

so hmmm we're really looking for an equation whose slope is -1/4 and with a y-intercept greater than -4, hmmm let's recall something, that on the negative side of the number line, the closer to 0, the greater.

that said, on the negative side of the number line -10 is much larger than -1,000,000, because -10 is closer than -1,000,000 to 0, and so on.

so hmmm what's greater than -4?  hmm well, heck let's use -2

[tex]y = -\cfrac{1}{4}x - 2[/tex]

At the school football game, there are 42 adults
sitting in the bleachers. the ratio of adults to
students in the bleachers is 7 to 9. how many
students are sitting in the bleachers?

Answers

Answer:

54 students

Step-by-step explanation:

42 / 7 = 6

9 x 6 = 54

42 : 54 = 7 : 9

help me pls :)
it is for revision but i dont understand it...

Answers

[tex]\textbf{a)}\\\\3x^2 y^4 \cdot 2x^6 y \\\\=6x^{2+6} \cdot y^{4+1}\\\\=6x^8 y^5\\\\\textbf{b)}\\\\xz^3 \cdot 4x^4 z^5\\\\=4x^{4+1} \cdot z^{3+5}\\\\=4x^5 z^8\\\\\textbf{c)}\\\\4a^3b^2 \cdot 3a^6 b^5 \\\\=12a^{3+6}\cdot b^{2+5}\\\\=12a^9b^7\\\\\textbf{d)}\\\\6s^5t\cdot s^4 t^2\\\\=6s^{5+4} \cdot t^{2+1}\\\\=6s^9t^3[/tex]

Create a word problem that would require the use of equations to solve the problem.

Answers

Answer:

Tonya"s tennis Academy charges $25 per hour for lessons plus a $15 registration fee. Gerald spent a total of $290 for lessons. How many hours of lessons (h) did he take? Create an equation to determine the cost of the lessons with number of hours of lessons as the variable. Then substitute what you know and solve for hours of lessons.

its a word problem from wyzant.

Step-by-step explanation:

The charge = $15 + $25h (h represents the number of hours)

$290 = $15 + $25h

$275 = $25h ( subtract $15 from both) sides

11 = h ( divide both sides by $25)

Share 48 in the ratio 4:2

Answers

Answer:

48: 24

Step-by-step explanation:

divide.

Colleen owns a house. In the house, on a tile floor is a throw rug and a heavy decorative urn. Most likely to meet the definition of a fixture is Group of answer choices the urn. the throw rug. the tile floor. None of them are fixtures

Answers

The item in the Colleen's house that is most likely to meet the definition of a fixture is a tile.

What is a fixture?

A fixture is an item in a house that is permanently attached to a house with the use of a glue, nails or bolt. It would not be easy to remove fixtures from a house. Examples of fixtures are tiles, doors and windows.

To learn more about fixtures, please check: https://brainly.com/question/14936262

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What is the extraneous solution to x+2=3x+34

Answers

Answer:

4x + 36

Step-by-step explanation:

combine like terms

3x + x = 4x

2 + 34 = 36

4x + 36 Is the full answer

Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?

a. Hiroto’s plan costs more than Emilia’s plan when more than 50 texts are sent.

b. Both plans cost the same when 22 texts are sent.

c. Emilia’s plan costs more than Hiroto’s plan when more than 22 texts are sent.

d. Both plans cost the same when 50 texts are sent.

Answers

Answer:

d

Step-by-step explanation:

[tex]20 + .05x = 10 + .25x[/tex]

[tex].20x = 10 [/tex]

[tex]x = 50[/tex]

please help!!!
translate the triangle with the vector -4 , 1

Answers

The transformation can be defined as the introduction of a new set of mathematical coordinates.

What is transformation?

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.

Given the triangle is needed to be translated by vector <-4,1>, therefore, we need to reduce -4 from all the x-coordinates of the points and add 1 to all the y-coordinates of the points.

Since negative on the x-axis is towards the left, and positive on the y-axis is upwards. Therefore, the translation of the given triangle will be as shown below.

Learn more about Transformation:

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you take a student loan of $60,000 to go to a private college. interest is 5.5% compounded monthly. The life of the loan is 20 years. How much is the total cost of the loan

Answers

Answer:

637 DOLLARS

Step-by-step explanation:

have a good day

Graph the following features
Y-intercept = 2
Slope = -2/5

Answers

Answer:

Step-by-step explanation:

IF YOU HELP ILL GIVE U BRAINIEST!! HELPPPPPP

Solve for c in terms of x.




Answers

Answer:

c = x + 5

Step-by-step explanation:

using Pythagoras' identity in the right triangle

c² = 5² + ([tex]\sqrt{x^2+10x}[/tex] )²

   = 25 + x² + 10x

  = x² + 10x + 25 ← a perfect square

c² = (x + 5)²

take the square root of both sides

c = [tex]\sqrt{(x+5)^2}[/tex] = x + 5

Timmy drops two objects: a small book, and a bowling ball. The bowling ball has a mass of 3.6 kg and the book has a mass of 1.4 kg. If there is no air resistance, which object will fall at a faster rate? Explain.​

Answers

Answer:

Both object will fall at the same speed

Step-by-step explanation:

Gravitational acceleration acting on both if those is equal. so Heavy objects fall at the same rate (or speed) as light ones

(sin (x+y)) / sinxcosy = 1+ cot(x) + tan(y)

Answers

Answer:

sin (×+y)/sinx cosy =1+ cotx tany

from trig ratio Sin [x +y] = sinx Cosy + cosx siny

Sinx cosy + cosox siny./Sinx cosy

then check the attachments for further information

Kendrick will pay interest at a monthly rate of 0.7% on a student loan of $6000 for the next 2 years, at which point he will begin making payments. The total number of dollars he will owe in 2 years is 6000(1.007)24. Rewriting the expression 6000(1.007)24 in which of these ways would be useful in calculating the rate of interest he will pay each year?

Answers

The ways that would be useful in calculating the rate of interest he will pay each year is:  6000(1.007)^12×2

Rate of interest

Using this formula

Rate of interest=Principal(1+Rate)^nt

Where:

Principal=$6,000

Rate=0.7%

Time=2 years

Number of months =12 months

Let plug in the formula

Rate of interest=6000(1+.007)^12×2

Rate of interest=6000(1.007)^24

Rate of interest=$7,093.47

Therefore the ways that would be useful in calculating the rate of interest he will pay each year is:  6000(1.007)^12×2

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