Use the product rule to simplify a ^7 x a ^11

Answers

Answer 1

Answer:

The answer to the question a∧18

Answer 2

Answer:

[tex]a^{18}[/tex]

Step-by-step explanation:

Use the product rule to simplify a ^7 x a ^11

[tex]a^{7}[/tex] × [tex]a^{11}[/tex] =

(add the exponents)

7 + 11 = 18

[tex]a^{18}[/tex]


Related Questions

Pete is making decorations for a dinner party.
The instructions tell him to use 9 flowers for a medium-sized decoration.

Complete each statement to adjust the flowers for different-sized decorations based on these instructions.

Tiva earns $48 for 6 hours of babysitting.

Complete each statement if Tiva keeps earning her babysitting money at this rate.Tiva earns $48 for 6 hours of babysitting.

Complete each statement if Tiva keeps earning her babysitting money at this rate.

Answers

The daffodils flower Pate needs is 8, total number of flower when rose is 2, is 18 and the carnations to be needed for decoration is 15.

What is algebraic expression?

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Pete is making decorations for a dinner party. The instructions tell him to use 9 flowers for a medium-sized decoration which has 2 lilies, 1 rose, 3 carnations, 2 daffodils and 1 iris.

The ratio of daffodils to total flower is,

n=2/9.

To make a large decoration, Pete uses 36 flowers. Let suppose the daffodils flower he needs for this is x. Thus,

x=36*(2/9)

x=4*2

x=8

The rose flower is increased from 1 to 2. Thus, the total number of flower also be twice for decoration.

Flower=2*9

Flower=18

Now Pete uses 10 lilies instead of 2 which is 5 times the medium-sized decoration. Thus, the carnations to be needed is,

Carnations=3*5

Carnations=15

Hence, the daffodils flower Pate needs is 8, total number of flower when rose is 2, is 18 and the carnations to be needed for decoration is 15.

Learn more about the algebraic expression here;

https://brainly.com/question/2164351

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1.Mary has ( 20xy - 10x²) sweets. She wants to divide the sweets equally among her (5x) friends.

if X=6 and Y=4, how many sweets:
how many friends does Mary have?​

Answers

Answer:

Mary has 120 sweets and 30 friend.

Step-by-step explanation:

if x = 6 and y = 4

then

20xy - 10x² = 20×(6)×(4)-10×(6^2) = 120

Therefore,

Mary has 120 sweets

……………………………………

if x = 6 and y = 4

then

5x = 5 × (6) = 30

…………………………

120 ÷ 30 = 4

Then 4 sweets per friend.

x is greater than or equal -3 and less than 5

use x only once in your inequality

Answers

Answer:

-3 <= x < 5

Step-by-step explanation:

Because x is less than 5, we put a less than sign. And x is greater than or equal to -3, so we have to put that specific sign.

Help me please thank you.

Answers

1. Area of a triangle= 1/2×base.height

=1/2.14.10

=70

2. Area of a trapezium=(base 1+base 2/2)×height

= (3+7/2)×4

=20

Write a function rule for “The output is three less than the input x.”

Answers

Answer:

y=x-3

Step-by-step explanation:

Which expressions are equivalent ( 0.2) 3 x ( 0.3 ) 4?

Answers

Hey there!

Assuming you meant….

(0.2)^3 * (0.3)^4

= 0.2^3 * 0.3^4

= 0.2 * 0.2 * 0.2 * 0.3 * 0.3 * 0.3 * 0.3

= 0.04 * 0.2 * 0.09 * 0.09

= 0.008 * 0.0081

= 0.0000648

≈ 0.000065


Therefore, your answer should be:

0.0000648


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Step-by-step explanation:

[tex] \tt{}(0.2 {)}^{3} \times (0.3 {)}^{4} [/tex]

[tex]\tt{}0.3 \times 0.06 ^{3} [/tex]

[tex]\tt{} \frac{3}{10} \times ( \frac{3}{50} {)}^{3} [/tex]

[tex]\tt{} \frac{3}{10} \times \frac{ {3}^{3} }{ {50}^{3} } [/tex]

[tex]\tt{} \frac{ {3}^{4} }{10 \times 50 ^3 } [/tex]

[tex]\tt{} \frac{81}{10 \times 5 {0}^{3} } [/tex]

[tex]\tt{}6.48[/tex]

Find the value of of the thing-
[tex]5(x+4)=40[/tex]

Answers

[tex]~~~~~~5(x+4) = 40\\\\\implies x +4 = \dfrac{40} 5\\\\\implies x +4 = 8\\\\\implies x= 8-4\\\\\implies x = 4[/tex]

If the value of a in the quadratic function f(x) = ax2 + bx + c is 1/2, the function will_______. A) open down and have a maximum B) open up and have a maximum C) open down and have a minimum D) open up and have a minimum

Answers

Answer:

B

Step-by-step explanation:

Since A is a positive number then the function must open up and since it is positive it also must have a maximum

Answer:

B

Step-by-step explanation:

it's the one that makes sense in my opinion if it's not correct I'm sorry :(

PLS HELP I NEED TO FINISH
If x= -5 and y=3x-1 then y equals what number?
I need to show work <3

Answers

Answer:

y is -16

Step-by-step explanation:

Fory =3x -1

Substitute x= -5

y=3(-5) -1

3(-5) -1= -16

y= -16

If superheroes were to fly 300 miles with one will get there first.

Superhero A: 4 miles in 4 minutes

Superhero B: 7 miles in 2 minutes

Superhero C: 2 miles in 2 minutes

Answers

Answer:

Superhero B

Step-by-step explanation:

7 miles in 2 minutes is much farther than 1 mile A minute

Michael has saved $40. He got a summer job mowing lawns, and gets $9 for every lawn he mows. How many lawns does Michael need to mow to save exactly $121, the cost of a concert ticket?

Answers

Answer:

9

Step-by-step explanation:

9 × 9 = 81

81 + 40 = 121

121 is the amount of money you want so you just have to mow 9 lawns to get your exact amount of money you need.

Which math sentence can be used to determine if this triangle is a right triangle? A triangle has side lengths 12, 15, 18. 12 + 15 = 18 12 squared + 15 squared = 18 squared 12 + 18 = 15 12 squared + 18 squared = 15 squared

Answers

Answer:

12^2 + 15^2 = 18^2

Step-by-step explanation:

If we have 3 sides of a triangle we can use the Pythagorean theorem to determine if the triangle is a right triangle

a^2 + b^2 = c^2

12^2 + 15^2 = 18^2

If this is true, then the triangle is a right triangle

Answer:

b

Step-by-step explanation:

(Look at photo)

54. Given that P is a positive number, N is a negative
number, and | P | > | N |, which of the following
expressions has the greatest value?

Answers

Answer: Choice G   [tex]\left| \frac{p-n}{n} \right|[/tex]

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

Explanation:

Pick a positive number for p, and a negative value for n. Make sure that p is further away from 0 than n is (so that [tex]|p| > |n|[/tex] is a true statement).

I'll go for these values

p = 5n = -2

Replace every copy of p with 5, and replace every copy of n with -2. Then evaluate or simplify. Use your calculator if needed.

Let's start with choice F.

[tex]F = \left| \frac{p-n}{p} \right|\\\\F = \left| \frac{5-(-2)}{5} \right|\\\\F = \left| \frac{5+2}{5} \right|\\\\F = \left| \frac{7}{5} \right|\\\\F = \left| 1.4 \right|\\\\F = 1.4\\\\[/tex]

Now onto choice G

[tex]G = \left| \frac{p-n}{n} \right|\\\\G = \left| \frac{5-(-2)}{-2} \right|\\\\G = \left| \frac{5+2}{-2} \right|\\\\G = \left| \frac{7}{-2} \right|\\\\G = \left| -3.5 \right|\\\\G = 3.5\\\\[/tex]

Next up is evaluating the expression for choice H.

[tex]H = \left| \frac{p+n}{p-n} \right|\\\\H = \left| \frac{5+(-2)}{5-(-2)} \right|\\\\H = \left| \frac{5-2}{5+2} \right|\\\\H = \left| \frac{3}{7} \right|\\\\H \approx \left| 0.4286\right|\\\\H \approx 0.4286\\\\[/tex]

Then let's compute expression J.

[tex]J = \left| \frac{p+n}{p} \right|\\\\J = \left| \frac{5+(-2)}{5} \right|\\\\J = \left| \frac{5-2}{5} \right|\\\\J = \left| \frac{3}{5} \right|\\\\J = \left| 0.6 \right|\\\\J = 0.6\\\\[/tex]

Lastly, compute expression K.

[tex]K = \left| \frac{p+n}{n} \right|\\\\K = \left| \frac{5+(-2)}{-2} \right|\\\\K = \left| \frac{5-2}{-2} \right|\\\\K = \left| \frac{3}{-2} \right|\\\\K = \left| -1.5 \right|\\\\K = 1.5\\\\[/tex]

-----------------------------------

To summarize, when plugging p = 5 and n = -2 into each expression, we got these results:

F = 1.4G = 3.5H = 0.4286 (approximate)J = 0.6K = 1.5

Expression G leads to the largest output.

Therefore, [tex]\left| \frac{p-n}{n} \right|[/tex] has the largest value when p > 0 and n < 0.

The expression |(p-n)/n| has the greatest value. Therefore, option G is the correct answer.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, p is a positive number, n is a negative number, and |p| > |n|.

Let us consider p=5 and n=-2

Now,

F) |(p-n)/p|

= |(5-(-2))/5|

= |7/5|

= 1.4

G) |(p-n)/n|

= |(5-(-2))/(-2)|

= |7/(-2)|

= 3.5

H) |(p+n)/(p-n)|

= |(5-2)/(5-(-2))|

= |3/7|

= 0.43

J) |(p+n)/p|

= |(5-2)/5|

= |3/5|

= 0.6

K) |(p+n)/n|

= |(5-2)/2|

= |3/2|

= 1.5

The expression |(p-n)/n| has the greatest value. Therefore, option G is the correct answer.

To learn more about an expression visit;

https://brainly.com/question/28170201.

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pema bedroom is 8 foot long and 14 feet wide

Answers

Answer: Area = 112 Perimeter = 44

Step-by-step explanation:

Area = length × width = 8× 14 = 112

Perimeter = 2L + 2B = (2×8) +(2×14)

Perimeter = 16 + 28 = 44

Suppose you roll a single die 5 times. What is the probability of rolling a 3, exactly 4 times? ​

Answers

3/25 that’s the answer okay

HELPPPPPPP!!!!!!!!!!!!!

Answers

Answer:

[tex]b^{2} \sqrt{30b}[/tex]

Step-by-step explanation:

The algebraic equation for a linear pattern is 3x + 4. Use a table of values to
show the first 5 terms of the pattern.

Answers

Answer:

explanation and answer


NEED HELP PLEASE

I can’t figure this question out. Hopefully you could help!

Answers

Answer:

see image

Step-by-step explanation:

If 21 people study French and everyone studies some language, then the other 4 people must be Spanish only students. 25 - 21 =4

Since 13 people study Spanish,

13-4=9

9 people must study both Fr and Sp.

If 9 people study BOTH, then

21-9=12,

12 people must be the Fr only people.

The arch-looking, upsidedownU is intersect.

Fr intersect Sp are the StudyBOTH people.

P(Both) = Both/Total

= 9/25

If you need %, divide 9÷25 and times by 100. That's 36%

F' means Not French people, which is Spanish only people (thankfully there are no No-Language-studiers bc they would count too)

P(F')

= P (not Fr)

= P (Sp Only)

= 4/25 = 16%

help pls, thank you !!

Answers

Answer:

the first one is a lie

Step-by-step explanation:

caf is more 45 degrees than 25

F
F
A
B
units
G is the centroid of triangle ABC.
What is the value of x?
What is the length of segment DG?
What is the length of segment AG?
What is the length of segment AD?
x + 2
units
units
X-15
G
G
D
E
C
с

Answers

Answer:

x = 37DG = 22AG = 44AD = 66

Step-by-step explanation:

We presume your "centroid ratio theorem" tells you that AG = 2·DG, so ...

 (x+7) = 2(x -15)

 x + 7 = 2x - 30 . . . . eliminate parentheses

 37 = x  . . . . . . . . . . .add 30-x

Then AG = 37+7 = 44

and DG = 37-15 = 22.

Thus, AD = AG +GD = 44 +22 = 66

If the interest on Rs. 100 be Rs. 6.25p. what is the interest on Rs. 320?​

Answers

6.25 / 100 = 0.0625 ( interest rate)

320 x 0.0625 = 20


answer: 20

Which numbers are prime numbers?

5

14

13

4

9

none of the above

Answers

Answer:

5 and  13 are prime numbers

Step-by-step explanation:

Answer:  5, 13,

Step-by-step explanation:

A taiga biome is DIFFERENT from a tundra biome because it has
D

Answers

taiga biome has more vegetation while tundra is just ice

Find the value of X.

Answers

Answer:

x=2

Step-by-step explanation:

[tex]2^{3x+1}+52=180^o[/tex]

[tex]2^{3x+1}+52-52=180-52[/tex]

[tex]2^{3x+1}=128[/tex]

[tex]3x+1=7[/tex]

[tex]x=2[/tex]

Sarah was solving an equation for her Algebra
class. She wrote down the equation she got on a
piece of paper after completing step 2.
-3m = 2m + 20
Which equation below would represents what
algebraic property she used in step 2?

Answers

Dropped off my car

A triangle has sides with lengths of 9 centimeters, 12 centimeters, and 15 centimeters. Is it a right triangle?

Answers

Answer:

yes, it is a right triangle.

Step-by-step explanation:

trust


I need help wit part b

Answers

Answer:

4a) $26.5 because if x represents how many feet then the slope would be the price of one glulam beam.

4b) $63,600

Step-by-step explanation:

To find the answer to 4b we need to alter the equation we were given. Since x represents how many feet we buy we put 2400 in place of x.

y = 26.5 x 2,400

and we simply solve from here

y = 63,600

So, 63,600 is how much we would be spending for 2400 feet of beams. Hope this helps!!

Consider the following statistic. as of january 2009, the usa has produced 60,000 metric tons of nuclear waste in 60 years of operating 104 nuclear power plants. on average, how much waste is produced by each plant on a monthly basis? 0.8 tons per month 83.3 tons per month 104 tons per month 866.3 tons per month

Answers

Using proportions, it is found that the average waste produced by each plant on a monthly basis is of 0.8 tons per month.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, there is a period of 60 x 12 = 720 months, with 104 plants, and 60,000 tons of waste were produced, hence the average is given by:

A = 60000/(720 x 104) = 0.8 tons per month.

More can be learned about proportions at https://brainly.com/question/24372153

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how do i do this question?

Answers

Answer:

Step-by-step explanation:

since 2 sides are equal i.e. 6=6, It is an isosceles triangle

56+x+x=180

2x=180-56

x=62°

Please mark it as brainliest

Have a good day!

I need this pls!! I forgot my notes :(

Answers

Answer:

D

Step-by-step explanation:

when x = 0, y = 40

therefore you can pick either A or D only.

while x increases, y decreases, that's negative relation

so, answer is D

Answer:

Option D

Step-by-step explanation:

y = mx + b

b is the y - intercept (when x = 0):

this graph doesn't show any negative values on the axis so options B and C can't be true since it they have - 40 when its positive 40

y = mx + 40

The dot association is going downwards, the y values are getting smaller

making this a negative association leaving on ly option d true

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