PLEASE determine the product or quotient:
a) (2x^2)(-4x^5)
b) (36m^2) / (-9nx)
c) -11ab^9b^6 / 5b^3a

Answers

Answer 1

Answer:

a ) - 8x^7,

b ) - 4m^2 / nx,

c ) - 11a^2b^18 / 5

Step-by-step explanation:

[tex]a ) (2x^2)(-4x^5),\\-2x^2\cdot \:4x^5,\\-8x^5x^2,\\-8x^7\\\\Solution = -8x^7[/tex]

To solve this problem, I removed ( ), multiplied the terms, and through the " exponential rule " added the exponents to derive the solution - 8x^7

[tex]b ) (36m^2) / (-9nx),\\-\frac{36m^2}{9nx},\\-\frac{4m^2}{nx}\\\\Solution = -\frac{4m^2}{nx}[/tex]

Here I simplified the bit " 36 / 9 " which was found as 4 in the numerator, deriving the solution - 4m^2 / nx

[tex]c ) -11ab^9b^6 / 5b^3a,\\-11b^9\frac{b^6}{5}b^3a^{1+1},\\-11b^9\frac{b^6}{5}b^3a^2,\\-11\cdot \frac{b^6}{5}b^{9+3}a^2,\\-11\cdot \frac{b^6}{5}b^{12}a^2,\\-\frac{b^6\cdot \:11b^{12}a^2}{5},\\-\frac{11a^2b^{18}}{5},\\\\Solution = -\frac{11a^2b^{18}}{5}[/tex]

I applied a combination of " the exponential rule " and the addition of these exponents to receive a simplified solution - 11a^2b^18 / 5.


Related Questions

another EASY question for y’all mathy people, easy points! Question in photo.

Answers

C. 10 cm, 24 cm, 26 cm

Answer:

the answer is c

Step-by-step explanation:

true or false ? why and why not ?


7a + 4 - 2a is equivalent to 7a + -2a + 4

Answers

True because it’s a diamond Rottweiler

What percent of a is b?
Please put your answer in percent.

Answers

Answer:

If you know two number a and b and need find, b is what percentage of a, P=b

- 100%

a

Some amount of marbles were arranged in an equilateral triangle. And 2 marbles were extra. When the same set of marbles were arranged into triangle in which each side has one more marble than in the first arrangement there were 13 marbles shortage. How many marbles were in the set?

Answers

Answer:

The total number of marbles in the set is 107 marbles

Step-by-step explanation:

The parameters given are;

Let the size of the marbles be 1 unit

The marbles are arranged to form the equilateral triangle as follows;

1st row = 1 marble

2nd row = 2 marbles and so on so that the total number of marbles for an arithmetic series as follows;

Total number of marbles, t = 1 + 2 + 3 + ... + n

Therefore;

[tex]t = \dfrac{1 + n}{2} \times n[/tex]

Since there are 2 marbles left in forming the first equilateral triangle, we have the total number of marbles in the set, t₁, is given as follows;

[tex]t_1 = \dfrac{1 + n}{2} \times n + 2[/tex]

When the same marble set are arranged into a triangle in which each side has one more marble than in the first arrangement, there where 13 marble shortage, hence, the total number of marbles is given as follows;

[tex]t_1 = \dfrac{1 + (n+1)}{2} \times (n+1) -13[/tex]

We therefore have;

[tex]t_1 = \dfrac{1 + n}{2} \times n + 2 = \dfrac{1 + (n+1)}{2} \times (n+1) -13[/tex]

Which gives;

[tex]\dfrac{n^{2}+n+4}{2}=\dfrac{n^{2}+3\cdot n-24}{2}[/tex]

Therefore;

n² + n + 4 = n² + 3·n - 24

2·n = 24 + 4 = 28

n = 14

From which we have;

[tex]t_1 = \dfrac{1 + 14}{2} \times 14 + 2 = 107[/tex]

Therefore, the total number of marbles in the set, t₁ = 107 marbles.

The number of marbles in the set would be as follows:

[tex]107[/tex] marbles

Arrangement

Given that,

After arranging the marbles in an equilateral Δ, 2 marbles would be left

The size of marble being 1 unit,

So,

The first row of the equilateral Δ will consist of 1 marble,

while

The second row comprises of 2 marbles.

The process goes so on and on.

Therefore,

Total marbles [tex]t = 1 + 2 + 3 + ... + n[/tex]

Hence,

[tex]t = (1 + n)/2[/tex] × n

Because 2 marbles are extra,

[tex]t = (1 + n)/2[/tex] × n [tex]+ 2[/tex]

In case,

The same marble set are framed into a triangle, every side would contain 1 marble exceeding the previous one where 13 marbles would be felt short.

Thus,

Total marbles = [tex]\frac{1 + (n + 1)}{2}[/tex] × [tex](n + 1) - 13[/tex]

by putting the values, we get

[tex]n^2 + n + 4 = n^2 + 3n - 24\\2n = 24 + 4 = 28\\n = 14[/tex]

Total marbles [tex]= (1+ 14)/2[/tex] × [tex]14 + 2[/tex]

[tex]= 107[/tex]

Thus, 107 marbles are the correct answer.

Learn more about "Probability" here:

brainly.com/question/8069952

Tanya and Reece each walked 4 miles on Monday. Reese also walked 4 miles on Tuesday and 4 miles on Wednesday . How many miles did Reece walk

Answers

Answer:

12 miles

Step-by-step explanation:

monday=4 miles

tuesday=4 miles

wednesday= 4 miles

4+4+4=12

*EASY GRADE 7 MATH*
BEST ANSWER WITH EXPLANATION WILL BE MARKED BRAINLIEST!

Use the diagram to answer the questions. Find the value of Z. *Use image given above* :)

Answers

Step-by-step explanation:

We can see from the image that z and 20° degrees are complementary, meaning they have a sum of 90°. From this, z = 70°. Hope this helps!

Answer:

70

Step-by-step explanation:

Z is part of a right angle so 90-20 is 70

URGENT!!!!! LAST TWO QUESTIONS!!!!!!! WILL GIVE BRANLIEST!!!AT LEAST TAKE A LOOK!!!!!! PLS HELP!!!
14. Find the missing angle x. ( 155 degrees is on the top left side, FIRST pic below)
19. Triangles ABC and DEF are similar. Find x.
SECOND PIC
A) 9.45
B) 6.12
C) 7.23
D) 8.57

Answers

Answer: For the first one it’s 95 degrees. I don’t know the second one, sorry

Step-by-step explanation:

180-155=25

25+60=85

180-85=95

Define polynomial with some examples.

Answers

Answer:

A Polynomial can be expressed in terms that only have positive integer exponents and the operations of addition, subtraction, and multiplication. In other words, it must be possible to write the expression without division.

Step-by-step explanation:

EXAMPLES :

x2 + 2x +5 Since all of the variables have integer exponents that are positive this is a polynomial.5x +1 Since all of the variables have integer exponents that are positive this is a polynomial.(x7 + 2x4 - 5) * 3x Since all of the variables have integer exponents that are positive this is a polynomial.5x-2 +1 Not a polynomial because a term has a negative exponent3x½ +2 Not a polynomial because a term has a fraction exponent(5x +1) ÷ (3x) Not a polynomial because of the division(6x2 +3x) ÷ (3x) Is actually a polynomial because it's possible to simplify this to 3x + 1 --which of course satisfies the requirements of a polynomial. (Remember the definition states that the expression 'can' be expressed using addition,subtraction, multiplication. So, if it's possible to simplify an expression into a form that uses only those operations and whose exponents are all positive integers...then you do indeed have a polynomial equation) [Polynomial Equation- is simply a polynomial that has been set equal to]
Polynomial

An algebraic expression is of the form of a0+a1x+a2x2+.........+anx^n,where n is positive integer and the coefficients a0,a1,A2,.......an are constants with an is not equal to 0 is called a polynomial of degree.

A polynomial in X is denoted by p(x),q(x),g(x) etc.

Examples:

p(X)=x^2-3x+2 is a polynomial in X.

Similarly,the polynomial in two variables X and y are generally denoted by p(x,y) and polynomial in three variables is denoted by p(x,y,z).

Hope it helps

Good luck on your assignment...

Using the properties of equality to solve the equation -2b + 7 = -13, you would _____.

A.) add 13 and then divide by -2
B.) subtract 7 and then add 2
C.) subtract 7 and then divide by -2
D.) add 13 and then add 2
this is multiple choice

Answers

Answer:
c. subtract 7 from both sides and then divide both sides by -2

Explanation:
Step 1 - Subtract 7 from both sides
-2b + 7 = -13
-2b + 7 - 7 = -13 - 7
-2b = -20

Step 2 - Divide both sides by -2
-2b = -20
-2b / -2b = -20 / -2b
b = 10

Answer:

Subtract 7 from each side

Divide each side by -2

Step-by-step explanation:

-2b+7 = -13

Subtract 7 from each side

-2b+7 -7= -13-7

-2b = -20

Divide each side by -2

-2b/-2 = -20/-2

b = 1-

Consider the diagram. Lines a and d are?

Answers

Answer:

perpendicular

Step-by-step explanation:

They form a 90 degree angle

find the circumference

Answers

Answer:

C=37.680

Step-by-step explanation:

The diameter is 2x the radius, so 6x2 is 12. 12x3.14 = 37.680.

[tex]answer \\ 37.68 \: ft \\ solution \\ r = 6 \: ft \\ d = 6 \times 2 = 12 \: ft \\ circumference = \pi \: d \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 12 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 37.68 \: ft \\ hope \: it \: helps[/tex]

Which table shows a function that is decreasing only over the interval (–1, ∞)? A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 1, negative 3, negative 5, negative 2, negative 1, 2. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 3, negative 5, negative 7, negative 6, 1, negative 1. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 4, negative 3, negative 1, 2, 1, negative 6. A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 5, negative 1, 1, 0, negative 4, negative 8.

Answers

Answer:

Your answer is B.

Have a great day!

Step-by-step explanation:

I'm so sorry that I do not have an explanation for you. I truly am.

Answer:

B

Step-by-step explanation:

Cristian, iris, and Morgan each get an equal share of 1/2 of a pizza. Which model represents the fraction of the pizza each person gets?

Answers

Answer:

Model B or 1/3 of the Pizza

Answer:

1/3

Step-by-step explanation:

model 1/3

PLEASE HELP ME OUT!

Answers

So you have to look at the events first which is ‘given that they watch Tv’. The number of people who watch Tv are 4 however only two of them wear glasses

So...

2/4 = 0.5

Your answer would be 0.50

Hope this helps! :)

Have a feeling it’s 3X am i correct ??

Answers

Answer:

D

Step-by-step explanation:

The volume of a cube can be found by multiplying together all of the side lengths by each other, or:

[tex]x\cdot x \cdot x=x^3[/tex]

Therefore, the correct answer is D. Hope this helps!

Answer:

D. x^3.

Step-by-step explanation:

The volume = length*width*height

= x * x * x

= x^3.

What is the answer ?????????????????

Answers

Answer:

The answer is :

[tex] \cos(51) = 0.63[/tex]

[tex] \sin(63) = 0.89[/tex]

[tex] \tan(12) = 0.21[/tex]

Omar and Caleb each had a repair made on their cars. The initial cost of each repair is $1,000. Omar and Caleb each have two coupons. Each of them uses both of his coupons toward the cost of the repair. One coupon is for $80 off the repair cost. The other coupon is for 15% off the repair cost. Omar and Caleb use their coupons in a different order, as shown below.

Answers

Answer:

854

Step-by-step explanation:

1000/15=66

1000-66-80=854

Suppose you observe the number of passengers arriving at a metro station on a shuttle bus that holds up to 8 passengers. Describe the sample space.

Answers

Answer:

Sample space can be describes as:

S = {0,1,2,3,4,5,6,7,8}

Step-by-step explanation:

Usually used in probability questions, a sample space is defined as a set of collection of all possible outcomes. It is the list of all possible results.

Sample spaces are usually written using set notation, where each possible outcome is listed only once within curly bracket.

S = {outcome 1, outcome 2, ..........}

As it is given the a bus can hold up to 8 passengers. We need to find the sample space of to number of passengers actually riding the bus.

So the minimum numbers of passengers is 0

The maximum numbers of passengers is 8

So the numbers of passengers lies between 0 and 8.

What should be added to both sides of this equation to solve for the variable?
-6 + f = 13

Answers

Answer:

Nesesito ayuda sobre estas dos preguntas la1 y la ocho pero tiene que tener sentido con las demas

Step-by-step explanation:

Answer:

1. 6 should be added to both sides

2. f=19

Step-by-step explanation:

When solving equations like this, we have to isolate the variable. To do this, perform the inverse operation to both sides of the equation.

-6+f=13

This can be rewritten as:

f-6=13

6 is being subtracted from f. In order to get f by itself, we have to get rid of the 6 being subtracted from f. The inverse of subtraction is addition. Add 6 to both sides.

f-6+6=13+6

f= 13+6

f=19

2) The fish population in a local stream is decreasing at a rate of 3% per year. The population in 2005 was 48,000. What is the population now?

Answers

Answer:

30396 fish.

Step-by-step explanation:

We are in 2020, that is, 15 years have passed since 2005, to calculate the population it would be:

The first year there would be 48,000, then each year it decreases by 3%, that is, the first one was like this:

48000 - 48000 * 0.03

That is to say:

48000 * (1 - 0.03)

Now, depending on the year number it would be:

48000 * (1-0.03) ^ n

But how were 15 years n = 15, then:

48000 * (1-0.03) ^ 15 = 30396.057

The fish population would be 30396 fish.

Brenda collected this data from an experiment.


For the line of fit h = 0.6t + 0.44, what is the residual of the data point at t = 11?

Answers

Answer:

7.04

Step-by-step explanation:

To get the value of residual of the data point, we simply substitute 11 for t

The substitution equation is h = 0.6t + 0.44

Substituting 11, we have

h = 0.6(11) + 0.44

h = 6.6 + 0.44

h = 7.04

Answer:

The residual of the data point h = 0.6t + 0.44, is h = 7.04.

Step-by-step explanation:

Given the line of fit, h = 0.6t + 0.44, which Brenda collected from an experiment, at the point t = 11, the residual of the data point is obtained by replacing t with 11 in the given equation h = 0.6t + 0.44.

Doing this, we have

h = 0.6(11) + 0.44

h = 6.6 + 0.44

= 7.04

This is what we want to obtain.

Here is a rectangle ABCD the length of the rectangle is increased by 10% The width of the rectangle is increased by 5% Find the percentage increase in the perimeter of the rectangle

Answers

Answer:

7.5 % increase

Step-by-step explanation:

So,first we  know that Square is also a special type of Rectangle,

so consider a Square with side 100 unit ,

Initially, After increament in side

Length = 100 unit -(increases by 10% ,So 110% of 100)    NEW length = 110 unit

width = 100 unit (increases by 5% ,So 105% of 100)     NEW  width =     105

initially, Perimeter of Rectangle = 2 x (L + B)  = 2 x (100 +100)

                                                              = 400 unit

After increment in length and width

Perimeter of New Rectangle = 2 x (L + B)  = 2 x (110 +105)

                                                                     = 430 unit

So we can clearly see that there is an increase of 30 unit in perimeter from initial.

Therefore ,% increase in perimeter will be

                   (final perimeter - initial perimeter)/initial perimeter x 100

                      =  (430 - 400)/400 x 100

                      = 7.5 % increase

Answer:

increased by 8%

Step-by-step explanation:

There is a narrow rectangular plot, reserved for a school, in Mahuli VIIage
length and breadth of the plot are in the ratio 11:4. At the rate 100 per metre it will
cost the village panchayat 75000 to fence the plot. What are the dimensions of
the plot?​

Answers

Answer:

550x100

Step-by-step explanation:

First divide 75000 by 100 to get 750. Then divide 750 by 15 to get 50. Lastly multiply 50 by 11 to get 550 and multiply 50 by 4 to get 100.

POR FA AYUDA URGENTEMENTE Dado los puntos A(-1;3) , B(2;5) y C(3;-1). Calcule 3(BA)VECTOR - 4 (CB)VECTOR

Answers

Answer:

the answer should be c

Step-by-step explanation:

Suppose a projectile is fired from a cannon with velocity v0 and angle of elevation θ. The horizontal distance Rθ it travels (in feet) is given by the following.
=Rθv02sin2θ32
If =v080 /fts, what angle θ (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?
Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian. (If there is more than one answer, enter additional answers with the "or" button.)

Answers

Answer:

0.25 rad to the nearest hundredth radian

Step-by-step explanation:

Here is the complete question

Suppose a projectile is fired from a cannon with velocity vo and angle of elevation (theta). The horizontal distance R(θ) it travels (in feet) is given by the following.  

R(θ) = v₀²sin2θ/32

If vo=80ft/s what angel (theta) (in radians) should be used to hit a target on the ground 95 feet in front of the cannon?

Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a radian.

(θ)= ?rad

Solution

R(θ) = v₀²sin2θ/32

If v₀ = 80 ft/s and R(θ) = 95 ft

θ = [sin⁻¹(32R(θ)/v₀²)]/2

= [sin⁻¹(32 × 95/80²)]/2

=  [sin⁻¹(3040/6400)]/2

=  [sin⁻¹(0.475)]/2

= 28.36°/2

= 14.18°

Converting 14.18° to radians, we have 14.18° × π/180° = 0.2475 rad

= 0.25 rad to the nearest hundredth radian

Answer:

Theta= 0.32 rad

or Theta= 1.25 rad

Step-by-step explanation:

On the Aleks explanation

Find the number missing from the following equivalent fractions 20/35=4/?

Answers

since the common number of the fraction 20/35 is 5 then divide both sides by 5 which would equal to 4/6 as the equivalent fraction

The missing number is 7.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

what is half x 3a or 1/2 x 3a

Answers

Answer:

the answer is

3a/2

Step-by-step explanation:

1/2 × 3a = 3a/2

Step-by-step explanation:

1/2 times 3a=3a/2

hence one and a half a, or 1 and 1/2a

Evaluate −6 − (−4).
A. −10
B. 24
C. −2
D. 2

Answers

Answer:

The answer is -2

Step-by-step explanation:

-6 + 4 = -2

Find the value of k such that the quadratic equation x(x-2k)+6=0 has real and equal roots

Answers

Answer:

k= [tex]\frac{x^{2}+6 }{2x}[/tex]

Step-by-step explanation:

x(x−2k)+6=0

Step 1: Add -x^2 to both sides.

−2kx+x2+6+−x2=0+−x2

−2kx+6=−x2

Step 2: Add -6 to both sides.

−2kx+6+−6=−x2+−6

−2kx=−x2−6

Step 3: Divide both sides by -2x.

−2kx /−2x  = −x2−6 /−2x

k =

Find the angle A if angle B is 60 degrees and angle A and angle B are complementary

Answers

Answer:

30 degrees

Step-by-step explanation:

Complimentary = 90 degrees

90 - 60 = 30 degrees

Other Questions
If the Reagan administration hoped to turn the Afghan jihad into a crusade against Communism, it also hoped to exploited Sunni/Shia doctrinal differences, turn them into a political divide, and isolate ___________. A. Afghanistan B. Saudi Arabia C. Iraq D. Iran What did the Second Great Awakening inspire? a. A return to Puritan ideals b. A massive migration west c. A political revolution d. A social reform movement pls help!! i'll give you the brainliest answer and a 5 star rating :) Type answer as integer proper fraction or mixed number Which of the following best summarize the passage? A. The diminishing numbers of chimney swift can be reversed by simple conservation efforts B. Chimney swift rely entirely on masonry chimneys to survive during their early migration C. Prefabricated chimneys are the one thing that threatens the future of the chimney swift D. the number of chimney swifts in the world has been slowly declining since the 1970s 2. Which of the following can be inferred from the information in the passage? A. Logging industry production dramatically increased around 1970. B. Changes in home design and home heating occurred in the late 1970s. C. The way we tracked chimney swift populations changed in the 1970s. D. The chimney swift's adaptability was severely hindered around 1970s. 3. The first paragraph in the passage on chimney swifts includes this description: "...large colonies of hundreds, or even thousands, of individuals form tornado-like funnels." Why does the author include this in the passage? A. It proves the author is an expert in bird studies B. It provides the reader with an engaging image C. It establishes the passage as a work of fiction D. It offers supporting evidence for the claim 4. Based on the passage, which of the following statements is true? A. The author provides facts to support the main idea B. The author uses an informal style that appeals to readers C. The author has an extensive background in bird studies D. The author relies on first-hand observation of chimney swift behavior 5. Which of the following lists support the main idea of the passage? A. Chimney swifts appear in North America in summer, migrate to the tropics in winter, and give birth in the spring B. Logging and deforestation, changes in the ways we heat our buildings, and chimney capping have robbed the chimney swift of its preferred roosting sites C. The small, slender bird known as the chimney swift migrates in large numbers, can be seen only at dusk, and raises its young in the tropics D. Metal-lined chimneys, chimney towers, and reforestation efforts will ultimately result in the growth of the chimney swift population 6. Which of the following conclusions can swift population 6. Which of the following conclusions can the reader make from the passage? A. Metal flumes are inserted in masonry chimneys to prevent birds, such as chimney swifts, from nesting in them B. Chimney swifts can easily adapt roosting behaviors to any structure made of the proper material C. Chimney swifts are nocturnal birds whose large numbers are evident in the size of their colonies D. Moving in large chipping flocks is a natural protection against predators Chimney swifts are small, slender birds that have become a symbol of summer for many. They usually appear in North America during warm, summer months as they make their way to more tropical sites for the winter. They are recognized most often as spectacular, chirping flocks moving through the sky in synchrony. Chimney swifts can be seen most vividly at dusk when large colonies of hundreds, or even thousands of individuals form tornado-like funnels as they descend into the chimneys. Unfortunately, the size of the colonies we see is misleading. Though the numbers may seem remarkable, chimney swift populations have been declining sharply since the 1970's due primarily to habitat loss. Unlike most birds, chimney swifts cannot perch or stand upright, so they require long, hollow spaces that are enclosed to provide safe roosting and nesting sites. Historically, chimney swifts preferred hollow trees. However, as pioneers colonized territory and replaced forests with towns, the species was forced to adapt by using other structures, such as chimneys. In the US, a large-scale shift to alternate heat sources, chimney- capping and the use of fabricated chimneys has drastically impacted their ability to nest during migration. Traditionally, chimneys were lined with clay, which the swifts were able to cling to and make their nests. Newer, prefabricated chimneys are often lined with metal flues Traditionally, chimneys were lined with clay, which the swifts were able to cling to and make their nests. Newer, prefabricated chimneys are often lined with metal flues that make it impossible for them to use. In addition, logging and deforestation may make finding suitable overwintering habitat more challenging than ever. In an effort to sustain the remaining population, conservation groups have designed supplemental housing structures, called "Chimney towers." These towers are designed specifically to provide roosting sites for chimney swifts. Chimney swifts now rely almost entirely on man-made structures like these to survive. However, because this species is remarkably adaptable, even minimal conservation efforts like keeping traditional masonry chimneys uncapped during the summer months can drastically improve their chance of survival. If angle ABC measures 40 degrees, what does angle ADC measure A rubber band that has been stretched has gained ____ energy OA) heatOB) kineticOC) potentialD) chemical Consider the following reaction: 2NO(g)+O2(g)2NO2(g) Estimate G for this reaction at each of the following temperatures and predict whether or not the reaction will be spontaneous. 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The Sesame Street version took place in a different locale and had fewer frills, but the sequence of events in both stories was identical. Has Sesame Street infringed Reyhers copyright? An 89.2-kg person with a density 1025 kg/m3 stands on a scale while completely submerged in water. What does the scale read?