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2 years ago

I’m confused in the exponential

Mathematics

1 answer:

Anna [14]2 years ago

4 0

Answer:

this mean in case of multiplying exponents with same base you should add the exponent and keep base same.

example:

${6}^{4} \times {6}^{5 } = {6}^{4 + 5} \\ = {6}^{9}$

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Find the 14th term of the geometric sequence 10,40,160

Galina-37 [17]

Answer:

671,088,640.

Step-by-step explanation:

To determine the 14th term of the geometric sequence that begins with 10, 40 and 160, knowing that each number is multiplied by 4, the following calculation must be performed, taking into account that the initial number (10) is multiplied by 4, and that said number must be potentiated 13 times to obtain the 14th term:

10 x (4 ^ 13) = X

10 x 67,108,864 = X

671,088,640 = X

Therefore, the 14th term of the geometric sequence will be 671,088,640.

3 0

3 years ago

N circle Y, what is m∠1? 6° 25° 31° 37°

spayn [35]

Answer:

Step-by-step explanation:

add the 2 angles given

37 + 25 = 62

then take half of that 62/2 = 31

angle 1 = 31 degrees

3 0

3 years ago

Read 2 more answers

Solve for the unknown in each triangle

Yuri [45]

The unknown angle would be 79 degreese.

6 0

3 years ago

Find the length of the missing side. The triangle is not drawn to scale.

suter [353]

Answer:

D.) 8

Step-by-step explanation:

You can use the Pythagorean theorem because this is a right triangle:

$a^2+b^2=c^2$

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.

Fill in values:

$a^2+15^2=17^2$

Simplify exponents:

$a^2+225=289$

Isolate the variable. Subtract 225 from both sides:

$a^2+225-225=289-225\\a^2=64$

Find the square root of both sides:

$\sqrt{a^2}=\sqrt{64}\\ a=8$

The missing leg length is 8.

7 0

3 years ago

A car travels 45 mph. How far will it go in 4 hours and 20 minutes?

ra1l [238]

(The Explanation): What we are given is that the car drives 45 miles each hour. Furthermore, you need to multiply the amount of hours desired to the miles to get a total mile.

(Step-By-Step Instructions):

45(4) and 45(20) Multiply

The Answers: 4 hours = 180 miles / 20 hours = 900 miles

3 0

3 years ago