which expression is equivalent to 12^-5 times 12^9?
a. 1/12^-45
b. 12^-45
c. 1/12^4
d. 1/12^-4

Answers

Answer 1

Answer:

D.  1/12^-4

Step-by-step explanation:

[tex]12^{-5}*12^{9}[/tex]

Since both exponents have the same base, we can add the exponents to get:

[tex]12^{-5+9}=12^{4}[/tex]

We can cross out A and B since they multiplied the two exponents, therefore both answers are wrong.

Now, let's try C and D.

C is wrong because it has a different base being raised to the same power.

D is correct. When you have a negative exponent, it is equivalent to the reciprocal of the base to the positive exponent.

The reciprocal of 1/12 is 12, and the positive of -4 is 4, therefore the answer is D.

Answer 2

Answer:

12^14

Step-by-step explanation:

It's the correct answer


Related Questions

I’m awful at geometry! Please help :)

Answers

Answer:

a is 64 degrees

b is 138.6667

Step-by-step explanation:

a is simple because you know a straight line has 180 degrees and since one side is 116 you simply subtract 180-116=64.

b is more complicated. Since a hexagon has a total internal angle of 720. 3 angle measures are given.

720-116- (180-82)-90=416

Since the last three angles are the same, you can divide by 3.

416/3=138.6667

Hopefully I didnt make any calculation errors because there is a lot of calculating for b.

Anthony read 5 6 hour each day for 5 days.

Answers

The total number of hours for which Anthony has read after 5 days is; 4 1/6 hours

Total number of reading hours

According to the question;

Anthony reads for 5/6 hour each day and does this for 5 days.

On this note, it follows that his reading rate is 5/6 hours per day and duration is 5 days.

Hence, the total number of reading hours is;

T = (5/6) × 5.

T = 25/6

T = 4 1/6 hours.

Read more on rate and time;

https://brainly.com/question/1256181

The population of a certain city was 3,416 in 1999. It is expected to decrease by about 0.28% per year. Write an exponential decay function, and use it to
approximate the population in 2023
The exponential decay function where f(x) is the population of the city x years after 1999 is f(x)=

Answers

Answer:

f(x) = 3416*(0.0028)^x

Step-by-step explanation:

f(x) = 3416*(0.0028)^x

need help...much appreciated!! Thanks!!

Answers

2k + 11 = 131

2k = 131 - 11

2k = 120

k = 120/2

k = 60


Find the value of x. (For your answer, just type the
NUMBER. Do not put x = .)

Answers

Answer:

9

Step-by-step explanation:

The lines are parellel, so you use the formula 7x+12=9x-6 to solve for x.

writing to explain tyler has 83 footballs cards that he wants to put into an album. each page holds 6 cards. how many pages will he need? how many spaces will he have left for new cards? explain to awnser.

Answers

Since tyler has 83 football cards we can divided, 83 divided by 6 cards for each page would have 13 cards, and he would have an extra page making 14 with the last one containing 5 left over cards, this would leave one space left over for new cards.

Raghav scod18 out of 20 in the method test his friends only scored 22 out of 25 in the English test who scored more and by how much​

Answers

Answer:

sorry but I really don't know the answer

Step-by-step explanation:

Sten and Manu are at a mystery movie. The movie starts at 1:45 PM and ends at 3:40 PM. How long is the movie? ​

Answers

Answer:

Step-by-step explanation:

dang that a tow hour movie and 5 minuets movie let me know if i am wrong hope this help

if the arithmetic mean of 8,4,6,x,2,7 is 5 then find the value of x?​

Answers

Answer:

This gives us the value of $x$ as 3. Hence the answer is 3.

Step-by-step explanation:

Step-by-step explanation:

if you would arrange it in order and solve you will get 3

A doughnut shop makes 21 different types of doughnuts each day. Customers often select a "baker's dozen" from the shop,
that is, 13 doughnuts.
How many different ways can a customer choose 13 different types of doughnut for their "baker's dozen" without
repetition?

Answers

Answer: 203490

Step-by-step explanation:

just took an L to give you the right answer

Which letter on the number line represents 4.55?





F
E
D
C

Answers

Post a better picture then I'll help!

What shape do these coordinates make? ( 2, 7 ), ( 8, 7 ), ( 8, 3 ), ( 2, 3 )

Answers

It makes a rectangle if graphed.

If you need more help just comment!

Please like and brainiest

Richard tosses a football with an initial velocity of 10ft/sec from an initial height of 6ft. What is the maximum height the ball will reach?


A. About 7.6ft
B. About 0.3ft
C. 1ft
D. 6ft


Answer: A

Answers

The maximum height the ball will reach is 7.6 ft.

Maximum height of the projectile

The maximum height attained by the projectile is calculated as follows;

v² = u² - 2gh

where;

v is the final velocity at maximum height = 0u is the initial velocityh is the heightg is acceleration due to gravity

0 = u² - 2gh

2gh = u²

[tex]h = \frac{u^2}{2g} \\\\h = \frac{10^2}{2(32.2)} \\\\h = 1.6 \ ft[/tex]

Thus, the maximum height the ball will reach = 1.6 ft + 6ft = 7.6 ft.

Learn more about maximum height here: https://brainly.com/question/12446886

Which point is located at (3,4)? A) M. B) N. C) O. D) P

Answers

B) N.

As we can see that the point N is 4 units away from x axis and 3 units away from y axis. Thus constituting the coordinate (3,4)

Answer:

B) N

Step-by-step explanation:

HOPES THIS HELP

Help me please if you can

Answers

Answer:

perimeter = 1 3/4

Step-by-step explanation:

1. 3/4 x 2 because there are two sides with the fraction 3/4. 3/4 x 2 is 1 1/2

2. 1/8 x 2 because there are two sides with the fraction 1/8. 1/8 x 2 is 1/4

3. 1 1/2 + 1/4 = 1 3/4


3.If ABCD is a parallelogram with AB = 2x + 1, AD = x + 13, and DC = 3x -11. Determine if ABCD is
rhombus. Show algebraic work to justify your answer.

Answers

Answer:

  ABCD is a rhombus

Step-by-step explanation:

Sides AB and DC are opposite and equal in parallelogram ABCD. This means ...

  AB = CD

  2x +1 = 3x -11

  12 = x . . . . . . . . add 11-2x to both sides

Sides AB and CD have length ...

  2x +1 = 2(12) +1 = 24 +1 = 25

Then the length of side AD is ...

  AD = x +13 = 12 +13 = 25

Adjacent sides AB and AD of the parallelogram have the same length, The figure is a rhombus.

Estimate the quotient for 627 ÷ 9. explain how you found your awnser

Answers

69.7

Step-by-step explanation:

627 ÷ 9

=69.66666666666666

approximately

69.7

[tex] \sf \leadsto627 \div 9[/tex]

[tex] \\ \\ [/tex]

[tex] \sf \leadsto \dfrac{627}{9} [/tex]

[tex] \\ \\ [/tex]

[tex] \sf \leadsto \dfrac{627 \div 3}{9 \div 3} [/tex]

[tex] \\ \\ [/tex]

[tex] \sf \leadsto \dfrac{209}{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \sf \leadsto 69.67[/tex]

If cos (α+β) = 0, then sin(α-β) can be reduced to​

Answers

Solution

[tex] \text{ cos}( \alpha + \beta ) = 0 \\ \\ \implies \: \alpha + \beta = 90 \degree [\because \text{cos \: 90 \degree} = 0 ] \\ \\ \implies \theta = 90 \degree - \beta \: \: \: \: ......(i)[/tex]

[tex] \sin( \alpha - \beta ) \\ = \sin(90 \degree - \beta - \beta ) \: \: \: \: \text{[using \: (i)]} \\ = \sin(90 \degree - 2 \beta ) \\ = \cos(2 \beta ) \: \: \: \: \: \: \: \: \text[ \because \sin(90 \degree - \theta) = \cos( \theta) ] [/tex]

Hope This Helps!! :)

6, ?, 4, 2


find the missing term of the Fibonacci style sequence ​

Answers

Answer:

-2

Step-by-step explanation:

The Fibonacci Sequence is the series of numbers where the next number is found by adding up the two numbers before it.

Therefore, 6 + ? = 4

⇒ ? = 4 - 6

⇒ ? = -2

lou eats 6/8 of a pizza. what fraction of the pizza, in simplest form, is left over

Answers

2/8 is equivalent to 1/4

Answer:

[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{6}{8}[/tex]

A full pizza would be a whole; 1 or [tex]\frac{8}{8}[/tex]. So you must subtract the amount Lou eats, to the original amount.

[tex]\frac{8}{8} - \frac{6}{8} = \frac{2}{8}[/tex]

[tex]\frac{2}{8} = \frac{1}{4}[/tex]

Your final answer will be [tex]\frac{1}{4}[/tex].

A boat is heading towards a lighthouse, whose beacon-light is 102 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 7 , before they draw closer. They measure the angle of elevation a second time from point b at some later time to be 12. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.

Answers

Answer:

351 ft (nearest foot)

Step-by-step explanation:

Model the problem as a right triangle, where the horizontal leg is the water (where the boat is at the vertex with the hypotenuse), and the vertical leg is the lighthouse.  The angle of elevation is between the boat and the top of the lighthouse. (see attached diagram)

Horizontal distance from point A to the lighthouse

Using the trig ratio tan(x) = O/A where x is the angle, O is the side opposite to the angle and A is the side adjacent to the angle:

Given:

x = 7O = 102 A = ?

⇒ tan(7) = 102/A

⇒ A = 102/tan(7)

⇒ A = 830.7233357... ft

Horizontal distance from point B to the lighthouse

Given:

x = 12O = 102 B = ?

⇒ tan(12) = 102/B

⇒ B = 102/tan(12)

⇒ B = 479.8722712... ft

Therefore, distance from A to B:

⇒ distance = A - B

⇒ distance = 830.7233357... - 479.8722712...

⇒ distance = 350.8510645...

⇒ distance = 351 ft (nearest foot)

What would happen to the variance of a data set if we multiplied every observation by S?

Answers

The variance of a constant is zero. Rule 2. Adding a constant value, c, to a random variable does not change the variance, because the expectation (mean) increases by the same amount. ... Multiplying a random variable by a constant increases the variance by the square of the constant.

Can someone help me with this geometry question!? ASAP

Answers

Answer:

D.

I hope it's help:))))))))))))))

Olivia has a dozen apples of the same size
and a dozen pineapples of the same size.
Olivia uses her juicer to extract 12 ounces of
pineapple juice from 7 pineapples and 16
ounces of apple juice from 4 apples. She
makes a pineapple-apple juice blend from an
equal number of pineapples and apples.
What percent of the blend is pineapple juice?

Answers

Answer: 30% of the blend is pineapple juice

Step-by-step explanation:

Since 7 pineapples yield 12 oz of juice, 1 pineapple yields 1 5/7 oz of juice.

Since 4 apples yield 16 oz of juice, 1 apple yields 4 oz of juice.

She’s making a pineapple-apple juice where the ratio of apples and pineapples used is 1:1. To find what percent of the blend is pineapple juice:

1 apple to 1 pineapple. The combined amount of juice they produce is 5 5/7 oz. The formula to find what percent of teh blend is pineapple juice is oz of pineapple juice divided by the combined amount of juice in the blend.

1 5/7 divided by 5 5/7 equals 3/10, or 30%.

The fraction of the blend that is pineapple and apple gives the

percentage that is pineapple.

Response:

The percentage of the blend that is pineapple juice is 30%

How can the percentage of pineapple juice in the blend be calculated?

Amount of juice extracted from 7 pineapples = 12 ounces

Amount of juice extracted from 4 apples = 16 ounces

Therefore;

The amount of juice from 1 pineapple = [tex]\mathbf{\frac{12}{7}}[/tex] ounces = [tex]1\frac{5}{7}[/tex] ounce

The amount of juice from 1 apple = [tex]\frac{16}{4}[/tex] ounces

The amount of juice from 1 apple = 4 ounces

Which gives;

The amount of juice from 1 pineapple and 1 apple =  [tex]\frac{12}{7}[/tex] + 4 = [tex]\frac{40}{7}[/tex] = [tex]5\frac{5}{7}[/tex]

The amount of juice from 1 pineapple and 1 apple =  [tex]5\frac{5}{7}[/tex] ounces

The percentage of pineapple juice is therefore;

[tex]Percentage \ pineapple \ juice \ in \ blend= \dfrac{\dfrac{12}{7} }{\dfrac{40}{7} } \times 100 = \dfrac{12}{7} \times \dfrac{7}{40} \times 100 = \underline{30\% }[/tex]

Learn more about percentages here:

https://brainly.com/question/26150306

Find the 23rd
term of the arithmetic sequence whose common difference is d=4 and whose first term is a = -15.

Answers

[tex]  \mathsf{T_n = a + (n - 1)d}[/tex]

[tex] \to \mathsf{T_{23} = - 15+ (23 - 1)4}[/tex]

[tex] \to \mathsf{T_{23} = - 15+ (22)4}[/tex]

[tex] \to \mathsf{T_{23} = - 15+ 44}[/tex]

[tex] \to \mathsf{T_{23} = 29}[/tex]

BrainlyVIP -.- ✋

Answer:

a₂₃ = 73

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 15 and d = 4 , then

a₂₃ = - 15 + (22 × 4) = - 15 + 88 = 73

Find the value of the variable

Answers

Answer:

q=8

Step-by-step explanation:

The ratio of sides from bigger to smaller is 1/2.

q=1/2(16)

q=8

Hope it helps!

factorise 8x+12 please

Answers

Answer: 4(2x+3)

Step-by-step explanation:

The greatest common factor in the two terms is 4.

Therefore, by factoring out a 4 we get

4(2x+3)

Lynn ate lunch and wanted to leave her waitress 15% tip. her meal cost 8.95$. what is the tip and the total

Answers

Answer:

Tip would be 1.34

Step-by-step explanation:

total would be 10.29

If (-3, y) lies on the graph of y = 3-x, then y =
1/27
-27
27

Answers

Answer:

y = 6

Step-by-step explanation:

[] We can plug in our x value of -3, from the coordinate point, and solve for y.

y = 3 - x

y = 3 - (-3)

y = 3 + 3

y = 6

[] We can also graph the equation, and find the point where x = -3

-> See attached

I do not see this option in the answers you have provided, so either I miss interpreted something, or something else got messed up.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

Hello, the correct answer is, 27

Step-by-step explanation:

Substitute -3 into -x

We know that since they are both negatives, they cancel out. Therefore, you substitute 3 into y = 3^-x.

y = 3^3

y = 27

A square has 12 cm length and it's area is equal to the area of a rectangle having length 16 cm.What is the breadth of the rectangle?​

Answers

Step-by-step explanation:

Hope this helps you......

[tex] \displaystyle{ \blue{ \frak{DisneyPrincess29}}}[/tex]

Answer:

Breadth = 9 cm

Explanation:

Find the area of square using; area of square: length²

area of the square:

→ 12²

→ 144 cm²

The rectangle has similar area. rectangle area: 144 cm²

use the formula to find area of rectangle:

length * breadth = area of rectangle

using the formula:

→ length * breath = 144

→ 16 * breadth = 144

→ breadth = 144/ 6

→ breadth = 9 cm

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