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3 years ago

Which expression is equal to 5^4 x 5^8 ? A: 5^12 B: 5^4 C: 5^2 D: 5^−4

Mathematics

2 answers:

GenaCL600 [577]3 years ago

6 0

So the rule with multiplying exponents with the same base is to just add the exponents together.

$5^4*5^8=5^{4+8}=5^{12}$

Your answer is going to be 5^12, or A.

a_sh-v [17]3 years ago

5 0

The answer to the question is a.

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I really need help! This is last minute and its 1 am. I'm tired so I'm going to leave it to you guys to solve my problems and pr

Illusion [34]

Answer:

<h2><u>question 1</u></h2>

$n^{2} - 20n -96 = 0$

use product and sum method

product = -96

sum = -20

numbers needed = ( -24 , 4)

n - 24 = 0

n + 4 = 0

hence <u>n = 24 and n = -4 </u>

<u></u>

<h2><u>Question 2 </u></h2>

in the form $ax^{2} +bx +c = 0$

= $x^{2} +12x - 48$

make use of the formula :

$\frac{-b+-\sqrt{b^{2} -4ac} }{2a}$

replace values to make 2 equations :

1. $\frac{-12+\sqrt{12^{2} -4*1*-48} }{2*1}$ = 3.17

2. $\frac{-12-\sqrt{12^{2} -4*1*-48} }{2*1}$ = -15.2

hence <u>x = 3.17 and x = -15.2</u>

<u />

<h2><u>Question 3 </u></h2>

use product and sum method

product = 40

sum = -14

numbers needed = (-10 , -4)

x - 10 = 0

x - 4 = 0

hence<u> x = 10 and x = 4</u>

<u />

<h2><u>Question 4 </u></h2>

in the form $ax^{2} +bx +c = 0$

this becomes $5b^{2} -20b-18-7$

= $5b^{2} -20b-25$

can simplify by 5

= $b^{2} -4b-5 =0\\$

use product and sum method

product = -5

sum = -4

numbers needed (-5 , 1)

b-5 = 0

b + 1 = 0

hence <u>b = 5 and b = -1</u>

5 0

4 years ago

Read 2 more answers

How would I solve for 35?

svet-max [94.6K]

First you simplify both sides

Multiply -1 by x and 7
-x-7-16=x-3
Subtract -16 from -7
-x+9=x-3
Add 3. To both sides
-x+12=x
Add x to both sides
12=2x
Divide both sides by 2
6=x

8 0

3 years ago

As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second. Convert this speed to kilometers

Ira Lisetskai [31]

Answer:

The kilometers Jupiter travel in 5 seconds is <u>64 kilometers</u>.

Step-by-step explanation:

Given:

As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second.

1 mile is equal to 1.6 kilometers.

Now, to convert this speed to kilometers per second, and at this speed to find kilometers will Jupiter travel in 5 seconds.

So, to convert speed of miles per second into kilometres per second:

<em>1 mile = 1.6 kilometres.</em>

Thus, 8 miles = 8 × 1.6 = 12.8 kilometres per second.

Now, at this speed we calculate the kilometres Jupiter travel in 5 seconds by multiplying:

<em>In 1 second Jupiter travel = 12.8 kilometres.</em>

So, in 5 seconds Jupiter travel $=12.8\times 5$

$=64\ kilometers.$

Therefore, the kilometers Jupiter travel in 5 seconds is 64 kilometers.

6 0

4 years ago

2x + 3 + 4x + 6 + 12x + 18 = 477<br><br> Please answer with solving steps. Thanks guys :)

dybincka [34]

Answer:

x= 25

Step-by-step explanation:

2x + 3 + 4x + 6 + 12x + 18 = 477

FIRST combine like terms

take all "x"

2+4+12= 18x

take all whole numbers

3+6+18= 27

18x+27= 477

now solve for x

-27 on both sides

18x= 450

÷18 on both sides

x= 25

3 0

3 years ago

Read 2 more answers

7/(3/2) = 2/g<br> What's the answer?

creativ13 [48]

Answer:

g = 3/7

Step-by-step explanation:

7/(3/2)

= 7 x (2/3)

= ( 2 x 7 )/3

= 14/3

14/3 = 2/g

Cross multiply,

14 x g = 3 x 2

g = ( 3 x 2 )/14

14 can be written as 2 x 7.

g = ( 3 x 2 )/( 2 x 7 )

2 in both numerator and denominator gets cancelled.

g = 3/7

8 0

2 years ago

Read 2 more answers