Which of the following is equivalent to (6x^4)(3x^2)?
1.(6*3)x^(4*2)
2.(6+3)x^(4*2)
3.(6*3)x^(4+2)
4.(6+3)x^(4+2)

Answers

Answer 1

Answer:

3.

Step-by-step explanation:

remember, when we multiply the same basic term, we add the exponents.

so,

x⁴×x² = x⁶

now, when there are other factors, we need to multiply them in too.

so,

(6x⁴)(3x²) = 6×3×x⁴×x² = 18x⁶ or simply (6×3)x^(4+2)


Related Questions

The radius of a circle is 16 yards. What is the circle's circumference?

Answers

Answer:

100.5309649149

Step-by-step explanation:

circumference = 2π(r)

Since you already have the radius of the circle, you would have to multiply the radius by 2 to get the diameter which is the full width of the circle . Then, multiply the result by π, or 3.14 and then round how you are asked to.

This is 15 points for whoever answers.

Answers

Answer:

Y = 40

Step-by-step explanation:

First, find the slope-intercept of the table

Slope-intercept form: y = mx + b

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

(3, 1) and (6,2)

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m=\frac{2-1}{6-3}\\\\m=\frac{1}{3}[/tex]

[tex]y=mx+b[/tex]

[tex]y=\frac{1}{3}x+b[/tex]

Find b using (6,2):

[tex]y=\frac{1}{3}x+b\\\\2=\frac{1}{3}(6)+b\\\\2=\frac{6}{3}+b\\\\2=2+b\\\\-2\ -2\\\\0=b[/tex]

[tex]y=\frac{1}{3}x+b== > y=\frac{1}{3}x+0== > y=\frac{1}{3}x[/tex]

[tex]y=\frac{1}{3}x[/tex]

What will be the value of Y when X = 120?

Substitute 120 for x into [tex]y=\frac{1}{3}x[/tex]

[tex]y=\frac{1}{3}x\\\\y=\frac{1}{3}(120)\\\\y=\frac{120}{3}\\\\y=40[/tex]

(120, 40)

Therefore, when X = 120, Y = 40

Hope this helps!

Question below! :)
Brainliest!

Answers

Answer:

Point C, because it is the only place on the picture where the lines cross.

Answer:

point C

Step-by-step explanation:

That is the point where they intersect

fully explain why, in general, (a + b)^2 = a^2 +b^2.

Answers

No this is not correct identity

(a+b)²(a+b)(a+b)a(a+b)+b(a+b)a²+ab+ba+b²a²+2ab+b²

Hence it's wrong

Answer:

Below!

Step-by-step explanation:

Let's simplify each side to determine if both sides are equal.

Left hand side of the equation:

Expression: (a + b)²

This expression can be simplified using the rule (x + y)² = x² + 2(x)(y) + y².

⇒ a² + 2(a)(b) + b²

When opening the parenthesis, we get;

⇒ a² + 2ab + b²

This expression cannot be simplified further as there are no like terms in the expression obtained.

Right hand side of the equation:

Expression: a² + b²

This expression cannot be simplified further as there are no like terms in the expression obtained.

Given equation:

(a + b)² = a² + b²

This can be rewritten as;

a² + 2ab + b² = a² + b² (False)

Therefore, it is impossible for a² + b² to be equivalent to a² + 2ab + b².

100 POINTS PLEASE HURRY

Answers

5.80^3 is your answer

Answer:

5.80^3‎‎‎‎‎‎‎‎‎‎‎‎‎‎

.
The dimensions of a triangle are shown below.

What is the area of the triangle?

Answers

Step-by-step explanation:

pls put the image as well becoz the dimensions are not shown

You are given the following system of equations: y:
- 13x + 85 and y = 15 + 4x . It is
known that this system of equations has two solutions. If the variable k represents the product of the two
×-values that satisfy the system, what is the value of k?

Answers

Answer:

70.

Step-by-step explanation:

1) to calculate the values of the 'x':

4x+15=x²-13x+85; ⇔ x²-17x+70=0; ⇔

x₁=7; x₂=10;

2) to calculate the required k:

k=x₁*x₂; k=7*10=70.

What is the answer for this math problem?

Answers

Answer:

9 feet

Step-by-step explanation:

v = lwh (volume equals length times width times height)

75.6 = 4 x 2.1 x d

multiply l and w, which is 4 x 2.1

75.6 = 8.4 x d

divide 75.6 by 8.4

9 = d

Answer:

The value of j is 9feet

Step-by-step explanation:

[tex] \hookrightarrow \sf \: v = whl[/tex]

⇒[tex] \sf {75.6 = (2.1)(4)(j) }[/tex]

⇒[tex] \sf {75.6=(2.1)(4)j}[/tex]

Step 1: Simplify both sides of the equation.

⇒[tex] \sf {75.6=8.4j}[/tex]

Step 2: Flip the equation.

⇒[tex] \sf {8.4j=75.6}[/tex]

Step 3: Divide both sides by 8.4.

⇒[tex] \sf { \frac{8.4j}{8.4} = \frac{75.6}{8.4}}[/tex]

⇒[tex] \sf {j=9}[/tex]

I need this answered please

Answers

Answer:

37

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Lets put the values in now :)

35^2 + 12^2 = c^2

1225 + 144 = c^2

1369 = c^2

Now we need to find the square root!

[tex]\sqrt{1369}[/tex] = 37

Have a great day!!

Please rate and mark brainliest!!

Hey Buddy !

Question : -

For the following right triangle , find the side length x .

Given : -

Perpendicular = 12

Base = 35

Hypotenuse = x

To Find : -

We have to find the value of x .

Concept : -

The concept of this question belongs to Pythagoras theorem . We have to find the value of x by using Pythagoras Theorem .

Pythagoras Theorem : -

According to Pythagoras Theorem , in a right angle triangle the sum of square of perpendicular and base is equal to square of hypotenuse .

[tex] \longmapsto \: \pink{ \boxed{{H {}^{2} = P {}^{2} + B {}^{2} }}}[/tex]

Where ,

H = Hypotenuse

P = Perpendicular

B = Base

From Here Solution Starts : -

Substituting the values in formula :

x² = 12² + 35²

x² = 144 + 1225

x² = 1369

x = √1369

x = 37

[tex] \blue{ \boxed{ \sf{Therefore , \: value \: of \: x \: is \: 37 }}}[/tex]

#[tex] \rm{ \bold{Keep \: Learning}}[/tex]

What is the total area, in square inches, of the shaded sections of the trapezoid below?

Answers

Answer:

64.5 in²

Explanation:

[tex]\sf area \ of \ trapezoid = \dfrac{1}{2} * ( a + b) *h[/tex]

Solve for the entire trapezoid:

[tex]\hookrightarrow \sf \dfrac{1}{2} * ( 6.5 +(9.8+5.2+6.5) ) *8.6[/tex]

[tex]\hookrightarrow \sf 120.4 \ in^2[/tex]

Solve for the unshaded rectangle:

Length * Width6.5 * 8.655.9 in²

Area of the shaded region:

120.4 in² - 55.9 in²64.5 in²

Please help! And show how u solve!
Find X

Answers

Answer: 36

Step-by-step explanation:

solve kx + 7 = 4 for x

Answers

Answer:

are we looking for x if we are its

Step-by-step explanation:

x= -3/k

Answer:

 x = -3/k

Step-by-step explanation:

Solve kx+7=4 for x

kx+7=4

kx =4 - 7

kx = -3

Sami opened an account with a deposit of $4,000. The bank pays 3.5% annual simple interest on this account Sami did not make any additional deposits or withdrawals. How long will it take for Sami to earn $2,100 in interest on this account?

Answers

Answer: 15 months

Step-by-step explanation:

An electronics store has determined that 45% of its customers buy a wide-screen television. describe the model that you could use to find the experimental probability that the next three television-buying customers will buy a wide-screen television

Answers

The model that you could use to find the probability is a binomial model with parameters n = 3, X = 3 and p = 0.45.

For each TV bought, there are only two possible outcomes, either it is wide screen, or it is not. The probability of a TV bought being wide screen is independent of any other TV, hence the binomial distribution is used to solve this question.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

In this problem:

45% of its customers buy a wide-screen television, hence p = 0.45.The experimental probability that the next three television-buying customers will buy a wide-screen television is P(X = 3) when n = 3.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Determine whether these two triangles are similar, and if so what is the ratio of their sides?

Yes, ratio = 3/4
No, these triangles are not similar
Yes, ratio=3/8
Yes, ratio=4/5

Answers

no the triangles are not similar

Answer:

not similar

Step-by-step explanation:

4/3 = 1.3333...

10/8 = 1.25

The ratios are not equal, so the triangles are not similar.

The elongation α
of a planet is the angle formed by the planet, earth, and sun. it is known that the distance from the sun to venus is 0.723au
(see exercise 65 in section 6.2 ). at a certain time the elongation of venus is found to be 39.4∘.
find the possible distances from the earth to venus at that time in astronomical units (au).

Answers

The distance from the earth to venus is an illustration of the sine ratio

The distance from the earth to venus at that time is 1.12 au

How to determine the possibe distance?

See attachment for the diagram that illustrates the complete question.

Start by calculating the angle V using the following sine ratio

SE/sin(V) = VS/sin(E)

This gives

1/sin(V) = 0.723/sin(39.4)

Take the inverse of both sides

sin(V)/1 = sin(39.4)/0.723

Evaluate the quotient

sin(V) = 0.8779

Take the arcsin of both sides

V = 61.4

Calculate the measure of angle S

<S + <V + <E = 180

This gives

<S  = - <V - <E + 180

Substitute known values

<S  = -61.4 - 39.4 + 180

<S  = 79.2

The distance (VE) is then calculated using the following sine ratio

VE/sin(S) = VS/sin(E)

This gives

VE/sin(79.2) = 0.723/sin(39.4)

Multiply bot sides by sin(79.2)

VE = sin(79.2) * 0.723/sin(39.4)

Evaluate the product

VE = 1.12

Hence, the distance from the earth to venus at that time is 1.12 au

Read more about sine ratios at:

https://brainly.com/question/2920412

Making late payments on credit card bills has what kind of effect on a person's credit score?

a
Late payments have a negative effect on a person's credit score.
b
Late payments have a positive effect on a person's credit score.
c
Late payments do not affect a person's credit score.

Answers

Answer:

A. Late payments have a negative effect on a person's credit score.

Step-by-step explanation:

Hope this Helps!

Answer:

A late payments have a negative effect on a persons credit score

Step-by-step explanation:

A credit score is basically the trust banks have with you or the potentiality that you will pay them back. Making late payments will obviously lower the banks reliability on you to pay your bill ontime and in full.

The point, (-4, 2) is a solution to the following system. y > 3x - 2 y ≥ 1 True False

Answers

Answer:

May I see a picture can't really understand the question clearly but seeing a picture could help. Thanks.

first a price was decreased by 12% then it was discounted again by 5% what is the percent of the total discount. From RSM

Answers

x = original price or 100%

so if we discount "x" by 12%, that means the new price is 100% - 12% = 88%, let's see how much is 88% of "x"

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{88\% of x}}{\left( \cfrac{88}{100} \right)x}\implies 0.88x[/tex]

now if we grab that new price, or the new 100%, and discount it further by 5%, what's leftover is simply 95%, because we'll be taking off 5% off of it and thus left with 100% - 5% = 95%.

so what's 95% of 0.88x?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{95\% of 0.88x}}{\left( \cfrac{95}{100} \right)0.88x}\implies 0.836x[/tex]

so the new discounted price is just 0.836x or 83.6% of our original "x".

from 100% originally to 83.6%, the difference is 16.4%, and that's the total discount.

Have you ever seen a photo online that did not seem to have the colors right? Perhaps the colors looked unnatural or not appropriate for the subject of the photo. Describe such a photo and what you think was wrong with it in terms of color. How did this photo with poor color values make you feel about the website it was on? How important do you think getting the color right is for images online?

Write three to five sentences that answer these questions. You should thoroughly explain every statement you make in your response. If possible, include a link to the photograph you are describing.

Answers

Answer:

Yes, I have before. The colors were pretty natural, but they didn't quite fit with the actual picture. It was a street with blue vintage contrast, and it had a rotting apple core. It was wrong because blue street didn't feel that normal and was an inaccurate portrayal because it didn't fit the apple core and all. The website actually was a website with "bad" photos, so I understood. I think it is very important to accurately convey meaning, tone, and much more.

The attachment cannot be uploaded because it isn't JPEG :(

How do you find the arc length of the partial circle?

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know :

Length of arc = Radius × Angle made by Arc at center [ in radians ]

[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 4 \times \dfrac{3 \pi}{2} [/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 6\pi \dfrac{ }{} \: \: units[/tex]

or

[tex]\qquad \tt \dashrightarrow \: arc = 6\times 3.14 = 18.84 \: \: units\dfrac{ }{} \: \: [/tex]

Angle=2π-π/2=3π/2Radius=4

So

Arc length

L=r[tex]\theta[/tex]L=4(3π/2)L=2(3π)L=6πL=18.8units

A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.Mavis packs the box with cubes, each 2cm by2cm by 2cm,with no space left over. How many cubes does Mavis fit into the box?

Answers

Given -

A rectangular box is 2 cm high , 4 cm wide and 6 cm deep.

i.e, length = 2cm, breadth = 4cm and height = 6cm

Mavis packs the box with cubes, each 2cm by 2cm by 2cm,with no space left over.

i.e, side = 2cm

To find -

the number of cubes that can be fit into the rectangular box.

Concept -

To find the number of cubes Mavis can fit into the rectangular box we are supposed to divide the volume of rectangular box by the volume of the cube. But before doing that we should know the formulas to find the volume of both the 3D shapes. i.e,

Volume of Rectangular Box = l × b × h

Volume cube = a³

where,

l = length b = breadthh = heighta = side

Solution -

[tex]\bf{Number\:of\: cubes=\frac{Volume\:of\: Rectangular\:Box}{Volume\:of\:cube}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=\frac{l\times b\times h}{a\times a\times a}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=\frac{2\times 4\times 6}{2\times 2\times 2}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=\frac{\cancel{2}\times \cancel{4}^2\times \cancel{6}^3}{\cancel{2}\times \cancel{2}\times \cancel{2}}}[/tex]

[tex]\rightarrow\sf{Number\:of\: cubes=2\times3}[/tex]

[tex]\rightarrow\mathbf{Number\:of\: cubes=6\:boxes}[/tex]

Hence, the number of cubes that can be fit into the rectangular box is 6 cubes.

4) Good Work Company charges by the word to run classified ads. This company charges $12 for
the first 15 words and $0.55 for each additional word.
a. How much would a 25-word classified ad cost?
b. How much would a 50-word classified ad cost?

Answers

Equation::

Rate of change=0.55$

If words be x

Equation in slope intercept form

y=12+0.55x, x≥15

So

#1

More words=25-15=10

Cost:-

y=12+0.55(10)=12+5.5=17.5$

#2

Extra words=50-15=35

Cost:-

y=12+0.55(35)=12+19.25=29.25$

Answer:

a. $17.50

b. $31.25

Step-by-step explanation:

a.

For $12 you get 15 words.

For a 25-word ad, you need 10 more words than the 15 you get for $12, so you must add 10 words at $0.55 per word.

cost = $12 + 10 × $0.55

cost = $12 + $5.5

cost = $17.50

b.

50 words is 25 words more than 25 words, so you must pay for 25 words more than the cost of the 25-word ad in part a.

cost = $17.50 + 25 × $0.55

cost = $17.50 + $13.75

cost = $31.25

In the figure below, m || n and t is a transversal line. If ∠7 = x +14 and ∠1 = 2x -8, what is ∠4?

Answers

∠4 and ∠1 are opposite angles, and since opposite angles are equal, ∠4 =  2x - 8

(if u need a specific number)

∠1 is corresponding to ∠5, and since corresponding angles are equal, ∠5 = 2x-8

∠7 is supplementary to ∠5, and since supplementary angles add up to 180, x + 14 + 2x - 8 = 180

-> 3x + 6 = 180
x = (180-6)/3 = 58.

Since ∠4 = 2x - 8 -> ∠4 = 2 x 58 - 8 = 108.

Find the area of the rug. DO NOT ROUND.

what is the area?

Answers

Answer:

28.26 ft²

Explanation:

[tex]\sf area \ of \ circle = \pi r^2[/tex]

Here given diameter: 6 ft

radius: d/2 = 6/2 = 3 ft

========

area of rug:

[tex]\dashrightarrow \ \pi (3)^2[/tex]

[tex]\dashrightarrow \ 9\pi[/tex]

[tex]\dashrightarrow \ 9(3.14)[/tex]

[tex]\dashrightarrow \ 28.26 \ ft^2[/tex]

Answer:

[tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]

Step-by-step explanation:

Step-1) Determine the radius of the rug:

Given diameter: 6 feet

⇒ [tex]\text{Diameter = 2(Radius)}[/tex]⇒ [tex]\frac{\text{Diameter}}{2} = \frac{\text{Radius}}{2}[/tex]⇒ [tex]\frac{\text{Diameter}}{2} = \text{Radius}[/tex]

Substitute the diameter to obtain the radius of the rug.

⇒ [tex]\frac{6}{2} = \text{Radius}[/tex]⇒ [tex]\text{3 feet = Radius}[/tex]

Step-2) Find the area of the rug by substituting the radius in the formula:

Area of circular rug  = πr²

                                  = [tex]\pi (3)^{2}[/tex]

                                  = [tex]\pi (3)(3)[/tex]

                                  = [tex]\pi(9)[/tex]

Substituting π as 3.14 (Stated in comments):

                                  = [tex](3.14)9[/tex]

                                  = [tex]\underline{\underline{28.26 \ \text{feet}^{2}}}[/tex]

What can you take from 60 to make 20?

Answers

40.

60 - 20 = 40.

Very simple.

Find the area. HELP PLEASE!!!

IF ITS CORRECT I WILL GIVE YOU A BRAINLIEST.​

Answers

Answer:

135

Step-by-step explanation:

Use formula b(h) which is 9x15 and get 135

Should you use Sine, Cosine, or Tangent to solve the following problem?

Answers

Answer:

sine

.....................

help me please, please

Answers

The little square means a right angle which is equal to 90 degrees.

X + 30 = 90

X = 60 degrees

PLEASE HELP ILL GIVE BRAINLIEST

james bought a movie ticket for $4.05. he paid the movie ticket with quarters and dimes. if james used 18 coins in all, how many quarters (q) and dimes (d) did he use?

Answers

Answer:

15q + 3d

Step-by-step explanation:

15 quarters = 3.75

4.05 - 3.75 = 0.30

3 dimes = 0.30

sooo.

3.75 (15q) + 0.30 (3d) = 4.05

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Now we only haveto make one decision in life.But, Adam, how could theynever have told us that?Why would you question anything?We're bees.We're the most perfectlyfunctioning society on Earth.You ever think maybe thingswork a little too well here?Like what? Give me one example.I don't know. But you knowwhat I'm talking about.Please clear the gate.Royal Nectar Force on approach.Wait a second. Oheck it out.- Hey, those are Pollen Jocks!- Wow.I've never seen them this close.They know what it's likeoutside the hive.Yeah, but some don't come back.- Hey, Jocks!- Hi, Jocks!You guys did great! A rhombus has a perimeter of 52 inches. Its shorter diagonal is 10 inches in length. which of the following is the length of its longer diagonal? What idea is emphasized through repetition? what is the inverse of f(x)=x^2+5 According to the above map, you can make the generalization that the economies in the southern portion of the United States rely heavily on farming for income.Please select the best answer from the choices providedTF What is the length of LM? what is micro environment Calculate the average (arithmetic mean) of the list of numbers shown in the table. (rounded to the nearest tenth) A) 35.2 B) 39.0 C)39.1 D) 39.2 Please help!!What do scientists do when they want to name a new organism?all of the aboveThey see how the organism is similar to other organisms.They see if the organism has the characteristics of an animal or plant.They look at what makes the organism unique. Al llegar a la caja de un supermercado, la cuenta fue de 330 en alimentos y 150 en tiles de aseo . En el momento de pagar, le descontaron 10. si recibio 30 de vuelto con cuanto pago? f(x)=2x^3-6x+k and the remainder when f(x) is divided by x+1=7 then what is the value of k Work and effort scientifically the same thing True Or false what is 2pi*4^2 + 2pi*4*4~giving brainliest!~ What phrase is repeated in this passage? what idea is emphasized through repetition?