Which expression is equivalent to
15a8b4/5a4b?

Answers

Answer 1

Answer:

[tex]3a^4b^3[/tex]

Step-by-step explanation:

[tex]\frac{15a^8b^4}{5a^4b}\\\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3\\=\frac{3a^8b^4}{a^4b}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{a^8}{a^4}=a^{8-4}\\=\frac{3b^4a^{8-4}}{b}\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=\frac{3a^4b^4}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:b\\3a^4b^3[/tex]

Related Questions

Please answer right, I've been stuck on this test for an hour.

Answers

Answer:

Step-by-step explanation:

f(x) has a horizontal asymptote of -4 while g(x) has horizontal asymptote of zero, in both functions, y is closer to infinity as x is closer to negative infinity,

A and B are definitely incorrect

while x gets closer to infinity, in f(x) y gets closer to -4, while in g(x) y gets closer to 0, thus they have a different end behavior as x approaches infinity

So, C is wrong, since it says that they have the same end behavior as x approaches infinity

Thus, D is correct

A paper manufacturer packages twelve reams of paper in a box—in three stacks of four reams. A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches. What is the volume of the current-sized box? a0 cubic inches

Answers

Answer:

Volume of the box = [tex]2244inches^{3}[/tex]

Step-by-step explanation:

Given

Number of reams in one stack = 4

Number of stacks in the box = 3

Dimensions of a ream = 8.5 inches, 11 inches and 2 inches respectively

To find

Volume of one ream = Length × Breadth × Height

= 8.5 × 11 × 2

= [tex]187 in^{3}[/tex]

Volume of all the four reams in one stack = 187 × 4

= [tex]748in^{3}[/tex]

Volume of all the three stacks in the box = 748 × 3

= [tex]2244in^{3}[/tex]

∴ Volume of the box = [tex]2244inches^{3}[/tex]

Answer:

The answer is 2244 in3. hope this helps☻♥.

Can someone Help me?

Answers

Answer:

The answer for the surface area is 25.12

Step-by-step explanation:

By using the formula 1/3 x 3.14 x h x r^2

You would input the numbers and then multiply them all together to get the desired answer

please help❤️

A cannonball shot from the top of a building
can be modeled by the following equation:
h = –16(t = 3)2 + 189

Answers

Answer:

nole entiendo preguntale atu profe

On a coordinate plane, a triangle has points R (negative 1, 3), S (3, negative 2), and T (1, negative 4). Which reflection will produce an image of ΔRST with a vertex at (2, –3)? a reflection of ΔRST across the x-axis a reflection of ΔRST across the y-axis a reflection of ΔRST across the line y = x a reflection of ΔRST across the line y = –x

Answers

Answer:

a reflection of ΔRST across the line y = –x

Step-by-step explanation:

A reflection across the line y = –x transforms point (x, y) into (-y, -x)

After reflecting ΔRST across the line y = –x we get:

R (-1, 3) -> (-3, 1)

S (3,-2) -> (2, -3)

T (1, -4) -> (4, -1)

where S is at the desired vertex

Answer:

The answer is D

Step-by-step explanation:

Have a nice day!

Box 1: Dimensions: x by 3x by x3 Area of base = x(3x) = 3x2 Box 2: Dimensions: x by 4x – 1 by x3 Area of base = x(4x – 1) = 4x2 – x Complete the statements about the number of terms in the polynomial representing the volume of each box. Box 1's volume will be a Box 2's volume will be a . Explain your reasoning.

Answers

Answer:

Box 1's volume will be a monomial

Box 2's volume will be a binomial

Explain your reasoning:

Box 1’s volume is modeled by a monomial times a monomial, so it will be a monomial. Box 2’s volume is modeled by a monomial times a binomial, so it will be a binomial.

Step-by-step explanation:

Feel free to copy and paste! Hope this helps! Have a great day!

BTW...If you have any questions for school...any grade level, any subject...just comment or ask. I will be sure to answer as soon as I can!! <3

The volume of a box is the amount of space it can occupy.

Box 1's volume will be a monomialBox 2's volume will be a binomial

The given parameters are:

Dimensions of box 1: x by 3x by x^3

Dimensions of box 2: x by 4x - 1 by x^3

The volume of the box is calculated by multiplying the dimensions.

So, we have:

Box 1

[tex]V_1 = x \times 3x \times x^3[/tex]

[tex]V_1 = 3x^5[/tex]

Box 2

[tex]V_2 = x \times (4x - 1) \times x^3[/tex]

[tex]V_2 = (4x - 1) \times x^4[/tex]

Open brackets

[tex]V_2 = 4x^5 - x^4[/tex]

After calculating the volumes, we have:

[tex]V_1 = 3x^5[/tex] ---- box 1

[tex]V_2 = 4x^5 - x^4[/tex] ---- box 2

Hence,

The volume of box 1 is monomial, because it has 1 termThe volume of box 2 is binomial, because it has 2 terms

Answers

Answer:

x, y, 4, 0

Step-by-step explanation:

To determine the inverse of the given function change f(x) to y switch x and y and solve for y.

f(x) = sqrt(x - 4)

y = sqrt(x - 4)

x = sqrt(y - 4)

x^2 = y - 4

x^2 + 4 = y

y = x^2 + 4

The domain of the inverse is the same as the range of the original function.

inverse f(x) = x^2 + 4

x^2 + 4 >= 4

x^2 >= 0

x >= 0

The resulting function can be written as inverse f(x) = x^4 + 4, where x >= 0.

Answer:

x, y, 3, and 0

Triangle ABC has vertices A (0, 2), B (5, 4), and C (5, 0). Triangle A′B′C′ has corresponding vertices A′ (–5, –1), B′ (0, 1), and C′ (0, –3). Which of the following describes a translation that would produce triangle A′B′C′ from the pre-image of triangle ABC? Question 4 options: A) To the left five units, up three units. B) To the right five units, up three units. C) To the left five units, down three units. D) To the right five units, down three units.

Answers

it’s to the left 5 units, down three, so C because the translation maps abc to a’b’c’

Answer:

Step-by-step explanation:

solve the formula for calculating the perimeter of a parallelogram with sides b and c for c p = 2b+2c

Answers

p = 2b+2c
-2b -2b

p -2b =2c
/2 /2

p/2 -b =c

The answer is P/2-b=c.

Solve the equation 12 + 2x = 16

Answers

Answer:

[tex]x=2[/tex]

Step-by-step explanation:

[tex]12 + 2x = 16[/tex]

[tex]2x=16-12[/tex]

[tex]2x=4[/tex]

[tex]x=2[/tex]

ray bought the seven books shown below as well as an eighth book. the eighth book was $21.90. what was the price of the eighth book ?

Answers

Answer:

$21.90

Step-by-step explanation:

You say that in the question "the eighth book was $21.90". Please rephrase if that is not what you meant :)

ANSWER ASAP IM GIVING BRAINLIEST!
The trapezoid is composed of a rectangle and two triangles. What is the area of the rectangle? What is the total area of the triangles? What is the area of the trapezoid?

A) 13 cm2; 15 cm2; 28 cm 2
B) 26 cm2; 15 cm2; 41 cm 2
C) 40 cm2; 15 cm2; 55 cm 2
D) 40 cm2; 7.5 cm2; 47.5 cm 2

Answers

Step-by-step explanation:

is there any diagram included about this question

(x³-4x²+7x-5)+(13x-15x²+x³)

Answers

Answer:

2x^3−19x^2+20x−5

Step-by-step explanation:

combine the x's and numbers, when fully simplified:

2x^3−19x^2+20x−5

Answer:

[tex]\sf 2x^3-19x^2+20x-5[/tex]

Step-by-step explanation:

[tex]\sf\left(x^3-4x^2+7x-5\right)+\left(13x-15x^2+x^3\right)[/tex]

[tex]\sf x^3-4x^2+7x-5+13x-15x^2+x^3[/tex]

[tex]\sf x^3+x^3-4x^2-15x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-4x^2-15x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-19x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-19x^2+20x-5[/tex]

The area of this parallelogram is 120 mm2. Find the value of x. 9 mm 12 mm 15 mm 6 mm

Answers

Answer:

[tex]x=12\:mm[/tex]

Step-by-step explanation:

[tex]A=bh[/tex]

[tex]b \times h=120[/tex]

[tex]b \times 10=120[/tex]

[tex]b=120 \div 10[/tex]

[tex]b=12[/tex]

Which statistic can not be determined from a box plot representing the scores on a math test?
the median score
the lowest score

the score that occurs most frequently
the highest score

Answers

Answer:

the score that occurs most frequently

Statistics can not be determined from a box plot representing the scores on a math test is the score that occurs most frequently.

Definition of Box plot:

It displays the five-number summary of a set of data.

The five-number summary is

minimum scorefirst quartile median score third quartilemaximum score

In a box plot, we draw a box from the first quartile to the third quartile.

A vertical line goes through the box at the median.

Therefore, the score that occurs most frequently is the correct answer.

To know more about box plot, refer,

https://brainly.com/question/1523909

#SPJ2

U Listen
Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. What is the difference between Sylvia
and her sisters reading rates, in pages per hour? this are the choices and the question. pls this is due in 10 min pls help

Answers

Answer:

Step-by-step explanation:

60 mins ÷5= 12. 12 x2=24

60 mins ÷6=10. 10x3=30

30-24=6

1. If u were to draw a tree diagram showing all the possible outcomes for rolling a six sided die twice, how many total outcomes would there be

1. 6
2. 12
3. 36

2. Rick is deciding what to wear to school. He has two different shirts, two different pants, and two different pairs of shoes to choose from. How many different outfit combinations does Rick have to choose from

1. 6
2. 8
3. 16

Answers

1. 2). 2. 1) 3 * 2 =6

Carly tried to solve an equation step by step.
Find Carly's mistake.

Answers

Answer:

Step 1 is incorrect

Step-by-step explanation:

Answer:

step 1

Step-by-step explanation:

Work this out for meee

Answers

Answer:

87.5cm²

Step-by-step explanation:

area of trapezium = 1/2 (a+b)h

1/2 × (10 + 15) ×7

1/2 × 25 × 7

1/2 × 175 = 87.5

Answer:

87,5 cm²

Step-by-step explanation:

A = (b + B)×h/2

= (10cm + 15cm)×7cm/2

= 25cm×3,5cm

= 87,5 cm²

Determine the approximate ordered pair for f(x) = g(x)

(3, 12)

(3,18)

(12,3)

(18, 3)

Answers

Answer:

(3,18)

Step-by-step explanation:

(3,18) is the answer to your problem

What is 4.6% of 1.9? Round to the nearest hundredth (if nece
ecessary)

Answers

Answer:

.0874 or .087

Step-by-step explanation:

Answer:

1.99

Step-by-step explanation:

4.6% > 0.046

0.046 x 1.9 = 0.0874

0.0874 + 1.9 = 1.9874

rounded to nearest hundredth

1.99

Solve for x and show all of your steps.
3x - 20 - 4x = 4x - (3x - 2)

Answers

Answer: x = -11

Step-By-Step:
We can start by combining like terms on the left side.
-20 - x = 4x - (3x - 2)
Now we need to distribute the negative on the right side.
-20 - x = 4x - 3x + 2
Now combine like terms on the right.
-20 - x = x + 2
Now add 20 to the other side
- x = x + 22
Subtract x from the left side.
-2x = 22
Now divide by -2.
x = -11

Answer:

Step-by-step explanation:

3x -20 -4x =4x -(3x -2)

3x - 20 -4x = 4x -3x+2

-x-20 =x +2

-20-2=x +x

-22=2x

x= -22/2

x=-11

which of the following best describes a line

Answers

I would answer, but you didn't give any options.

i would say go for the option that is closes to :

" A line is a straight collection of points that goes on forever in two directions."

What is the value of (5 + 2)^2 - 9x3 + 2^3 ? Show all of your
work for full credit.

Answers

Answer:

Step-by-step explanation:

(5+2)=7

9x3=27

2^3=8

7^2 - 27 + 8 (evaluate)

7^2=49

49 - 27 + 8 (calculate)

=30

Two lines meet at a point that is also the endpoint of a ray. Set up and solve the appropriate equations to determine and

Answers

Answer:

Angle x=19°

Angle Y=53° hopes this helps i might be wrong idk

Step-by-step explanation:

Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.Angle X=90-71=19Angle Y=180-37-71-19

PLEASE HELP A boat is carrying containers that weigh 1000 pounds each. Use this information to fill in the table. Then plot the ordered pairs given by the table.

Answers

Answer:

For the table, the answers are 2000, 4000, 7000. for the graph the plots will be at (2,2000) (4,4000) (7,7000)

Step-by-step explanation:

A boat is carrying containers that weigh 1000 pounds each.

For the table

2 x 1000 = 2000

4 x 1000 = 4000

7 x 1000 = 7000

For the graph

2, 4, and 7 are given as your X axis points. You will then raise those answers to your corresponding answers for the table. so your Y axis points will be 2000, 4000, and 7000.

Solve and work out the value of a

Answers

Step-by-step explanation:

Since these angles are supplementary (meaning they have a sum of 180 degrees) we get 3a + 2a + 4a = 180° which simplifies to 9a = 180 and then a = 20°

Answer:

a = 20

Step-by-step explanation:

The angles form a straight line, which is 180 degrees

3a + 2a + 4a = 180

Combine like terms

9a = 180

Divide by 9

9a/9 =180/9

a = 20

Find the equation of a line that passes through left parenthesis 1 comma 6 right parenthesis(1,6) and is parallel to the graph of y equals 4 x plus 5y=4x+5. Write the equation in slope-intercept form, if possible.

Answers

Answer:

The equation for the new line in slope-intercept form is:

[tex]y=4x+2[/tex]

Step-by-step explanation:

Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)

We are also given a point the new line should go through : "(1, 6)"

So we can use the "point-slope" form of a line to find the equation of this new line:

[tex]y-y_0=m(x=x_0)\\y=m(x-x_0)+y_0[/tex]

which for our case is:

[tex]y=m(x-x_0)+y_0\\y=4\,(x-1)+6\\y=4x-4+6\\y=4x+2[/tex]

Willie had a lemonade stand.On one day he sold 117 cups of lemonade. If each cup contains 226 milliliters of beverage, how many liters did he sell in all

Answers

Answer:

26.442 litre

Step-by-step explanation:

total beverage sold= 117*226

= 26442ml

in litres= 26442/1000

= 26.442

There are d boys in the class. This is two more than four times the number of
girls (X). How many girls are there in the class?

Answers

Answer:

Step-by-step explanation:

That is, the number of boys (d) is (=) 2 more than (2 +) 4 times the number of girls (4X). So your answer is C

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Which expression is equivalent to 15a8b4/5a4b?

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Which expression is equivalent to
15a8b4/5a4b?