index notation simplify 4^9 x 4^3

Answers

Answer 1

Answer:

[tex]4^{12}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]4^{9}[/tex] × [tex]4^{3}[/tex] = [tex]4^{(9+3)}[/tex] = [tex]4^{12}[/tex]


Related Questions

Emma says that Function A has a greater initial value. Is Emma correct? Justify your response. Function A Function B Alternative text x 2 4 6 8 10 y 2 3 4 5 6 A. Yes; Function A has an initial value of 2 and Function B has an initial value of 1. So, Function A has a greater initial value. B. Yes; Function A has an initial value of –1 and Function B has an initial value of –2. So, Function A has a greater initial value. C. No; Function A has an initial value of –2 and Function B has an initial value of 1. So, Function B has a greater initial value. D. No; Function A has an initial value of 2 and Function B has an initial value of –1. So, Function B has a greater initial value

Answers

Answer: B

Step-by-step explanation: Function A starts at 0,2 and function B starts at 2,2

Answer:

It is C

Step-by-step explanation:

"No; Function A has an initial value of 2, and Function B has an initial value of 1. So, the functions do not have the same initial value."

How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? How can sums and differences of cubes be identified for factoring?


Answers

Answer:

Step-by-step explanation:

You asked: How do you know when to rewrite square trinomials and difference of squares binomials as separate factors? First, and mostly obviously is when the directions say to factor the given expression. Next, if you're given an equation and asked to solve it. You set it equal to 0 and factor the perfect square trinomial or the difference of squares binomial. Set each factor equal zero and solve. This is a little bit oversimplified but, solutions are roots are zeros are x-intercepts, so if you are asked to find any of those things. Set your equation equal to zero, factor and solve. Also, if you have a rational expression (a fraction with a polynomial on top and a polynomial on the bottom) you would need to factor in order to simplify, to sketch a graph without technology. Anytime you need to simplify, factoring is good to try.

You also asked: How can sums and differences of cubes be identified for factoring? The sum or difference of cubes is in the form a^3 + b^3 or a^3 - b^3

You can memorize how to factor these a^3 + b^3 = (a+b)(a^2 - ab + b^2) and

a^3 - b^3 = (a-b)(a^2 + ab + b^2)

If you take the trouble to multiply these two factors back together you will see how four terms drop out and you get a binomial. Also the is an acronym SOAP to help you memorize it. Factoring cubes is used in the same way as you previous question. To factor, to solve, to simply, to graph. This was a really general question. I hope this helps.

As an improper fraction simplified

Answers

Answer:

  82/63

Step-by-step explanation:

The sum can be found using the formula ...

  [tex]\dfrac{a}{b}+\dfrac{c}{d} =\dfrac{ad+bc}{bd}[/tex]

For the given fractions, the sum is ...

  [tex]\dfrac{6}{7}+\dfrac{4}{9} =\dfrac{6\cdot9+7\cdot4}{7\cdot9}=\dfrac{54+28}{63}=\boxed{\dfrac{82}{63}}[/tex]

_____

Additional comment

When the denominators have no common factor, the least common denominator is their product, as here.

Answer:

For this question, you can make the denominators the same to get the answer.

LCM of 7 and 9 = 63

[tex]\frac{6}{7} + \frac{4}{9} = \frac{54}{63} + \frac{28}{63} \\[/tex]

         = [tex]\frac{82}{63}[/tex]

         = 1[tex]\frac{19}{63}[/tex]

)) The volume of a pyramid with base area B and height his Bh. Jill makes candles
shaped like pyramids to sell at a craft fair. The candles are 6 inches tall and have a base area
of 4 square inches.
1) What is the volume of one of the candles?
1) Write your answer as a whole number or decimal.
cubic inches
Submit

Answers

Answer:easy it’s 8

Step-by-step explanation:I just did that same ixl/quiz!

1. A stack of boards is 21 inches high. Each board is 1¾ inches thick. How many boards are there

Answers

Answer:

12

Step-by-step explanation:

We can solve this by setting up an equation with the variable x representing the number of boards. Since x number of 1.75 inches thick boards sum up to the height of 21 inches, the equation is 1.75x = 21, so x = 12. There are 12 boards.

Captain Brewster captured a pack of aliens. The following data points represent the lengths of each of the aliens' big toes (in centimeters). 18, 16, 17, 17, 16, 15, 16. Using this date, create a dot plot where each dot represents a big toe.

Answers

Answer:

15 ·

16 ···

17 ··

18 ·

19

Step-by-step explanation:

There were 2 aliens that each have big toes measuring 17 cm long. So, the 17 would have 2 dots above it:

17 ··

Simplify \frac{10a^3}{55a^2} when a=3.

Answers

Answer:

(27000)(27225)

Step-by-step explanation:

Answer:

6/11

Step-by-step explanation:

During a chess match there are 15 pieces left on the board. the ratio of the white pieces to black pieces is 3 : 2 how many white pieces are on the white board?

Answers

Answer:   9

==========================================================

Explanation:

The ratio 3:2 scales up to 3x:2x for some positive whole number x.

We have 3x white pieces, 2x black pieces, and 3x+2x = 5x pieces total. Set this equal to the 15 mentioned and solve for x.

5x = 15

5x/5 = 15/5

x = 3

Therefore, there are 3x = 3*3 = 9 white pieces and 2x = 2*3 = 6 black pieces, which gives 9+6 = 15 total. The ratio 9:6 reduces to 3:2 after dividing both parts by the GCF 3.

If 15 out of 25 students are boys, what percent of the class is
made up of boys?

Answers

Ummmmm i think you do 25 divided by .15

If A is the center of the circle which of these is the radii

Answers

Answer:

A-b because radius is the line segments from its center to its perimeter

Step-by-step explanation:

What is the value of the expression

Answers

Answer:

C. 9

Step-by-step explanation:

K(3)=3*3=9........................

A map scale indicates that .5 inches represents 13 miles. What is the actual distance of two cities that are measured on the map to be 4.5 inches apart?

Round your answer to the nearest integer.

Answers

Answer:

9 is the answer, wanna know how?

Step by Step explanation : So you do this and that equals 9.

5. Maribel makes bead necklaces. She uses a
ratio of 4:2:3 when threading green, brown and
yellow beads on the wire. How many green and
yellow beads will Maribel use for a necklace
Icontaining a total of 117 beads?

A. 52 green beads; 39 yellow beads

B. 52 green beads; 26 yellow beads

C. 26 green beads; 52 yellow beads

D. 39 green beads; 52 yellow beads

Answers

Answer:

A.  52 green beads; 39 yellow beads

Step-by-step explanation:

See the attachment.  If we take the ratios of 4, 2 , and 3, they add to 9.  The

Green (G), Blue (B), and Yellow (Y) will have 4/9, 2/9 and 3/9 each of the total beads, 117.

G:  52 Beads

B:  26 Beads

Y:  39  Beads

2. Find the equation of the perpendicular bisector of line PQ where the co-ordinates of P and Q are P (-2, 8) and Q (4,7)

Answers

Answer:

2y - 12x = 3

Step-by-step explanation:

gradient of line PQ= (7-8)/ 4+2

-1/6

gradient of perpendicular bisector of line PQ=

-1 ÷ -1/6

-1× -6

6

coordinates of the midpoint of line PQ

(-2+4)/2, (8+7)/2

(1, 15/2)

the perpendicular bisector passes through the midpoint of line PQ

Equation of the perpendicular bisector

y - 15/2 = 6(x - 1)

multiply through by 2

2y - 15 = 12(x - 1)

2y - 15 = 12x - 12

2y - 12x = 3

HELP SOMEONE!!!!!! PLZZZZ!!!
Find all complex numbers $z$ such that $z^4 = -4.$

Answers

Since -4 = 4 exp(iπ), by DeMoivre's theorem and using the fact that cos and sin are both 2π-periodic,

[tex]z^4 = 4 \exp\left(i\pi\right) \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi + 2i\pi k\right)\right)[/tex]

where k = 0, 1, 2, or 3. Then the 4th roots of -4 are

[tex]k = 0 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+0\right)\right) = \sqrt2 \exp\left(i\dfrac\pi4\right)[/tex]

[tex]k = 1 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+2i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{3\pi}4\right)[/tex]

[tex]k = 2 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+4i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{5\pi}4\right)[/tex]

[tex]k = 3 \implies z = 4^{1/4} \exp\left(\dfrac14 \left(i\pi+6i\pi\right)\right) = \sqrt2 \exp\left(i\dfrac{7\pi}4\right)[/tex]

On which number line -9 and its opposite shown?

Answers

Answer:C TRUST MEEE

Step-by-step explanation:

mark as brainliest

Two same-sized triangular prisms are attached to a rectangular prism as shown below.
If a = 20 cm, b = 13 cm, c = 12 cm, d = 5 cm, and e = 8 cm, what is the surface area of the figure?
a 1,208 square centimeters
b 1,592 square centimeters
c 1,004 square centimeters
d 1,400 square centimeters

Answers

Answer:

answer will be a 1,208 square centimeters

3
Johnny has been hired to draw a mural on the window of the pet store. The scale drawing he is using is shown below.
4.5 cm
6 cm
If 1 centimeter represents 10 inches on the mural, what is the actual height and width of the hamster that he will be drawing on the
mural?
OA.
66 in by 49.5 in
ОВ.
90 in by 120 in
Od
6 in by 4.5 in
OD. 60 in by 45 in

Answers

Answer:

OD 60 in by 45 in

Step-by-step explanation:

1. Find the area of the sector by multiplying the area of the circle by the ratio of the _________________________ to 360.
2. Subtract the area of the triangle from the area of the sector.
length of the radius
length of the diameter
measure of the central angle
circumference of the circle

Answers

Answer: measure of the central angle

Step-by-step explanation: trust

Answer:

measure of the central angle

Step-by-step explanation:

The larger I grow, the less you can see!
What am I??

Answers

Answer: The darkness is the correct answer

Step-by-step explanation:

As you know that if the darkness becomes bigger you are unable to see it. Hope you like the answer do let me know in the about your thoughts.

what is the y intercept of the graph

what is the slope ​

Answers

Answer:

y-intercept = 1

slope = 4

Step-by-step explanation:

The y-intercept is where the line intersects with the y.

And the slope is rise over run, so it rises 4 and walks over 1, therefore the slope is [tex]\frac{4}{1}[/tex] which simplifies to 4.

Hope this helped! :)

Answer:

y intercept (0,1)

slope 4

Step-by-step explanation:

The y intercept is where the graph crosses the y axis

The graph crosses at y =1

(0,1)

We can find the slope by taking rise over run

The graph rises 4 units ( goes up 4 units)

Then goes to the right 1 units

The slope is 4/1 = 4

1 minute is equal to 60 seconds. How many seconds are in 3 minutes, 37 seconds?

Answers

Answer:

217 seconds

Step-by-step explanation:

3 minutes = 180 seconds

180 seconds + 37 seconds = 217 seconds

3=2x
Solve this equation.
Then verify IT.​

Answers

[tex] \huge \bf \: Question : [/tex]

[tex]3 = 2x[/tex]

This is an equation. We need to find the value of X and verify it.

[tex] \huge \bf \: Solution : [/tex]

Let's find out the value of X :-

[tex] \sf \implies \: 3 = 2x[/tex]

Firstly, over turn the equation :-

[tex]\sf \implies2x = 3[/tex]

Then, Divide both sides of this equation by 2 :-

[tex]\sf \implies \: \dfrac{2x}{2} = \dfrac{3}{2} [/tex]

Cancel 2/2 on this equation and Leave x :-

3/2 can't be cancelled.

[tex]\sf \implies \: \dfrac{ \cancel2x}{ \cancel2} = \dfrac{3}{2} [/tex]

[tex]\sf \implies \: x = \dfrac{3}{2} [/tex]

Hence the value of x is 3/2.

________________________________

[tex] \bf \huge \: Verification : [/tex]

Put the value of x on this equation :-

[tex]\sf \implies \: 3 = 2x[/tex]

On Putting 3/2 instead of x :-

As we know that x is multiplied with 2 so,

[tex]\sf \implies \: 3 = 2 \times \dfrac{3}{2} [/tex]

Simplify this equation(Cancel 2 and 2) :-

[tex]\sf \implies \: 3 = \cancel2 \times \dfrac{3}{ \cancel2} [/tex]

[tex]\sf \implies \: 3 = 3[/tex]

[tex]\sf \implies \bf \: L HS = RHS[/tex]

[tex] \boxed {\bf\huge Hence, verified.}[/tex]

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

For what value(s) of k is + 3 a factor of 3 + 5 2 + − 9
FAST FASTTTT

Answers

Answer:

56

Step-by-step explanation:

56 would be ya answer

Bob spends $650 for a gym membership plus $75 for each hour with a personal trainer. Is the description linear or exponential?

Answers

Answer:

y = 75x + 650

So I think it's linear.

Can y’all please help me answer this, this My last question

Answers

Answer:

x ft is the answer since X = 10

so it means 10 ft

what two numbers multiply to -36 and adds to 1?

Answers

the only pair factors for 36 are (1&36)(4&9)(6&6)(12&3) and (18&2) no matter what order you make these negative so they match -36 will make the sum 1.

Please explain how you got to the answer. I am trying to understand the concept that went into it.
Solve for x in the equation x squared + 11 x + StartFraction 121 Over 4 EndFraction = StartFraction 125 Over 4 EndFraction.
A. x = negative 11 plus-or-minus StartFraction 25 Over 2 EndFraction
B. x = negative eleven-halves plus-or-minus StartFraction 25 Over 2 EndFraction
C. x = negative 11 plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction
D.x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction

Answers

Answer:

D. x = negative eleven-halves plus-or-minus StartFraction 5 StartRoot 5 EndRoot Over 2 EndFraction

Step-by-step explanation:

Evaluate 0 and 1 (xe+ex)Dx

Divide 3/8 divided by 2/3 and express the answer in the simplest terms.

Answers

9/16 should be the answer.

Oceanside Bike Rental Shop charges 13 dollars plus 8 dollars an hour for renting a bike. Tim paid 45 dollars to rent a bike. How many hours did he pay to have the bike checked out?​

Answers

Step-by-step explanation:

Shop charges =13

Many left for renting bike = 45-13 =$32

If renting for 1hr cost $8

then renting for X Hrs will cost $32

1/X =8/32 cross multiplying

8X= 32

X= 32÷8= 4hrs

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