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

Given the formula A= P(1+r/n)nt you are investing $2,150 in savings account with an
interest rate of 3.315% compounded monthly. How much will you investment be worth after 15 years?

Answers

Answer:

3532.59341

Step-by-step explanation:

P= 2150

r= 3.315%

n= 12

t= 15

the length of a door is 1.8 feet longer than it's width, and it's front area is 1504.6 square feet. find the width and height of the door

Answers

Answer:

  width: 37.9 ft

  height: 39.7 ft

Step-by-step explanation:

Sometimes it is easier to work these problems by finding the average of the length and width. If that value is x, then the length is x+0.9, and the width is x-0.9. The area is ...

  A = LW

  1504.6 = (x +0.9)(x -0.9) = x^2 -0.81

  1505.41 = x^2

  x = √1505.41 ≈ 38.7996

  width = x -0.9 = 38.8 -0.9 = 37.9

  height = 38.8 +0.9 = 39.7

The width of the door is approximately 37.9 ft; the height is about 39.7 ft.

Trigonometry I need help please

Answers

Answer:

10.7°

Step-by-step explanation:

SOH CAH TOA

Tan(BCA) = x/y

= 4/21

BCA= Tan`¹(4/21)

= 10.7856

to 3SF = 10.7°

A horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from.
What is the area of the triangle formed by his path?
round to the nearest hundredth.

for Acellus!!!

Answers

Answer:

I think it's 28,700,000 feet

Step-by-step explanation:

Answer:

34,971.99

Step-by-step explanation:

-6x+6y=9 (1/2,2) please helppppp

Answers

Answer:

Not a solution.

Step-by-step explanation:

[tex]-6x + 6y = - 9\\\rule{150}{0.5}\\-6(\frac{1}{2}) + 6(2) = -9\\\\-3 + 12 = -9\\\\9 =-9[/tex]

The final result is a contradiction. It is not a solution to the equation, and therefore, will not be on the line.

Nicole got a prepaid debit card with $25 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the
ribbon was 22 cents per yard. If after that purchase there was $17.52 left on the card, how many yards of ribbon did Nicole buy?

Answers

Answer:

34 yards of ribbon

Step-by-step explanation:

If you will subtract the $17.52 to $25 you will get 7.48 then 7.48 divide to .22 you will get 34 as the answer

Jade recorded how many characters she used in each of her 9 most recent text messages. Here's a

histogram showing her data:

# of messages

2

0

0

20

40

60

80

100 120

# of characters

Which interval contains the median number of characters?

Answers

The median of a histogram is the middle element of the histogram.

The interval contains the median number of characters is 20 - 30

The number of characters is given as:

[tex]n = 9[/tex]

The median position is then calculated as:

[tex]Median = \frac{n + 1}{2}th[/tex]

So, we have:

[tex]Median = \frac{9 + 1}{2}th[/tex]

Add 9 and 1

[tex]Median = \frac{10}{2}th[/tex]

Divide 10 by 2

[tex]Median = 5th[/tex]

So, the median is the 5th position.

From the histogram (see attachment), the 5th element is in the interval 20 to 30.

Hence,  the interval contains the median number of characters is 20 - 30

Read more about median at:

https://brainly.com/question/9298915

the product of two factors is 4200.if one of the factors is 60.what is the other factor? ​

Answers

Answer:

Other factor is 70

Step-by-step explanation:

Let,

Other factor = x

Then,

x × 60 = 4200

x = 4200/60

x = 420/6

x = 70

Another factor is 70.

Answer:

Solution given

let two factor be a and b.

if one factor a=60, then b=?

we have

product of factor=4200

a*b=4200

60*b=4200

b=[tex]\frac{4200}{60}=70[/tex]

Step-by-step explanation:

3.
Mark is m years old. June is 6 years older that Mark. What is their total
age in 10 years' time?

Answers

Answer:

20m+60

Step-by-step explanation:

given,

mark=m

june=m+6(6 years older that mark)

so,

after 10 years,

10(m+(m+6)

=10(2m+6)

=20m+60

divide g by 9, then triple the result

Answers

Answer:

nose que dice no hablo inglesh :v

what is 4 divided by 8

Answers

Answer:

0.4 or 2

Step-by-step explanati

that easy

how do i get more points? and why do i need it?

Answers

Answer:

You get more points by answering people's questions. You use points to get help from other people.

Answer: Answer people's questions to get points and use those points to get an answer to your question.

identify the graph of the rational function with an x-intercept at (-4,0) and (4,0), a vertical asymptote at x=2, and an oblique asymptote at y=x+2

Answers

Answer:

(0,2), (1,3)

Step-by-step explanation:

Pizza chefs buy 5 5/8 kg of flour. They use 3/5 of the flour to make 9 equal mini pizzas. How much flour did they use for each mini pizza? Express your answer as a fraction in its lowest form.

Answers

Answer:

Flour used to make 9 pizzas = 5[tex]\frac{5}{8}[/tex] × [tex]\frac{3}{5}[/tex]

                                                = 3[tex]\frac{3}{8}[/tex]

Flour used for each pizza = 3[tex]\frac{3}{8}[/tex] ÷ 9

                                           = 3[tex]\frac{3}{8}[/tex] × [tex]\frac{1}{9}[/tex] (reciprocal of 9)

                                           = [tex]\frac{3}{8}[/tex]

The amount of flour used for each mini pizza is [tex]\frac{3}{8}[/tex] kg.

solve 4x-13=7x14 justify each step​

Answers

Answer:

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x-13-(7*x^14)=0

Equation at the end of step 1

 (4x - 13) -  7x14  =

Pulling out like terms

3.1     Pull out like factors :

  -7x14 + 4x - 13  =   -1 • (7x14 - 4x + 13)

Equation at the end of step

 -7x14 + 4x - 13  = 0

Equations of order 5 or higher:

4.1     Solve   -7x14+4x-13 = 0

snowboard is advertised to be 60% of the original price. If the sale price is $180, use a double number line determine the original price.

Answers

Step-by-step explanation:

60% of original price X = $180

60/100 × X = $180

60X/100= $180( cross multiply)

60X= 18000

X= 18000÷60

X= $300

Simplify

2
x
×
3
x
×

x

Answers

Answer: 6x^3

Step-by-step explanation:

help I suck at math..

Answers

Answer:

The correct answers are:

B

D and

F

Step-by-step explanation:

Hope it can help you lovelots

#LEARN WITH BRAINLY

What is the 18th term to the sequence 14,18,22

Answers

the 18th term is 82

Help pleaseee????????

Answers

it will be equal to the photo

median 5

lower

Aline that includes the point 5. 10) has a siope of 1. What is its equation in siope-intercept
te your answer using integers, proper fractions, and improper fractions in simplest for

Answers

Step-by-step explanation:

a lot of typos in the problem description.

if I understand correctly, the line contains the point (5, 10) and has a slope of 1.

and we need to give the line equation in slope-intercept form.

that means it has to look like

y = ax + b

a is the slope and b is the y-intercept (hence the name of the form).

we know a = 1.

we can use use the point-slope form to start and then transform it into the slope-intercept form.

point-slope means

y - y1 = a(x - x1)

a is again the slope, and (x1, y1) is a point on the line.

so,

y - 10 = 1(x - 5) = x - 5

now we transform it (adding 10 on both sides)

y = x + 5

and that's it.

Millie has a bank account balance of $1200. Each week, her balance changes by
-$72.50.
She wants to keep the balance
above $620.
How many weeks will Millie's balance remain above $620?
Select from the drop-down menu to correctly complete the statement.

Answers

Answer:

at least 8

Step-by-step explanation:

Answer:

At least 8

Step-by-step explanation:

I took the test

discount off each purchase. Calculate the amount of discount off each item (2 points)
17% off a $35 dresser
12% off a $32 dresser
12% off a $22 mirror
20% off a $55 bookshelf​

Answers

Answer:

17% off a $35 dresser

Step-by-step explanation:

Pls HELPPPPPP!! the answer

Answers

Answer:
( -2,1 )
Hope it helps
Have a good day!!
:))))))

here are vaccinations for all of the following except __________

Question 10 options:

hepatitis C.


chicken pox.


tuberculosis.


mumps.

Answers

Answer:

Hepatitis C.

Step-by-step explanation:

Find m

U
W
V
∠UWV.

Answers

180-112\2. the answer is 34°.

The rectangular prism shown is formed by six intersecting planes.

Where do the planes ABFE and EFGH intersect

Answers

Answer:

Line EF

Step-by-step explanation:

Planes intersect at lines

The planes ABFE and EFGH intersected by line EF.

What is Prism?

A prism is a polyhedron in geometry made up of an n-sided polygon basis, a second base that is a rigidly translated copy of the first base, and n additional faces that must all be parallelograms and connect the corresponding sides of the two bases.

We have cuboidal prism which have faces ABFE and EFGH.

To find the point for intersecting we have to find a point or line which is common in both planes.

Here the point E and F are common.

But the plane EF is also common

Thus, the intersecting line is line EF.

Learn more about Prism here:

https://brainly.com/question/29722724

#SPJ2

What is the product of 3.45 x
(1.93 x 10^4)

Answers

Answer:

66,585

Step-by-step explanation:

First, solve 10^4, which is 10,000. Then, do 1.93x10,000 and get 19300. Finally, multiply 19300 by 3.45 to get 66,585.

Always use pemdas and hope this helped!

2^8 - (4+6)



can you please give me the answer

Answers

2^8 - ( 4 + 6 ) = 2^8 - 10 = 256 - 10 = 246
Ok done. Thank to me :>

I need Help Asapp
Please!!!!!!!!!!!!!!!!!!​

Answers

Answer:

i know it is C last year i took that quiz and well i studied /j

Step-by-step explanation:

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