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serious [3.7K]
2 years ago
5

Solve for 7 and 8 please

Mathematics
1 answer:
Masteriza [31]2 years ago
8 0
To divide exponents they have to have the same base and then you just subtract the bottom exponent from the top exponent.

7) k × 3^9
----------- =
3^5

k × 3^9-5 =
k × 3^4 =
k × 81 = 81k

8) x^4 × y^10 × 2^11
------------------------ =
y^8 × 2^7

x^4 × y^10-8 × 2^11-7 =
x^4 × y^2 × 2^4 =
x^4 × y^2 × 16=
16x^4y^2
You might be interested in
A town in east Texas received 10 inches of rain in 2 weeks. If it kept raining at this rate for a 31- day month, how much rain d
umka21 [38]

2 weeks = 14 days

10 / 14 = 0.71428571428

0.71428571428 * 31 = 22.1428571429

The town received about 22 inches of rain.

If you include the 2 weeks, then it would be 32 inches of rain.


Hope this helps!

7 0
3 years ago
On a normal day, I can walk from my house to school in three quarters of an hour. The return trip takes me the same amount of ti
Likurg_2 [28]

Answer:

  208 1/8 hours

Step-by-step explanation:

The amount of time saved on each trip is ...

  (3/4 h) - (1/4)(3/4 h) = (3/4)(3/4 h) = 9/16 h

There are 2×5×37 = 370 trips in the school year, so the total savings in time is about ...

  370×(9/16 h) = 208 1/8 h

4 0
3 years ago
my neighbor has two cats and both cats have yellow eyes. therefore when to cats live together, they will both have yellow eyes.
Whitepunk [10]
Inductive reasoning has to do with coming to a certain prediction or a conclusion based on multiple true premises.
Here, we know that these two cats live together and that they have yellow eyes. These two statements are true. So, naturally, we can conclude that any two cats which live together will have yellow eyes.
Now, whether or not this is correct, that is beside the point. 
3 0
3 years ago
Simplify <br> 7.2x10^3/1.8x10^7
spayn [35]

To simplify and solve this equation we must follow PEMDAS.

P=Parentheses

E=Exponents

M=Multiplication (from left to right)

D=Division (from left to right)

A=Addition

S=Substraction

We begin the process.

10^3=1000

10^7=10000000

New equation looks like this:

7.2*1000/1.8*10000000

We then multiply

7.2*1000= 7200

7200/1.8=4000

4000*10000000= 40000000000

<em>So our final answer is 40000000000.</em>

Hope this helps!

P.S. I forgot this was scientific notation and I solved it a different way. But both ways give the same answer. Let me know if you want the other method.


3 0
3 years ago
Find the volume of the cone. Use 3.14 for n. Round to the nearest tenth.
enyata [817]

Answer:

1590.6cm {}^{3}

Step-by-step explanation:

volume \: of \: a \: cone \: v =  \frac{1}{3}\pi \: r {}^{2} h \\ radius =  \frac{diameter}{2}  =  \frac{15}{2}  = 7.5 \\ v =  \frac{1}{3}  \times 3.42 \times (7.5) {}^{2} \times 27 \\ v =  \frac{3.142 \times 7.5 \times 7.5 \times 27}{3}    \\ v =  \frac{4771.9125}{3}  = 1590.6375 \\ v = 1590.6cm {}^{3} (approximatly) \\ please \: rate \: and \: mark \: brainliest

7 0
2 years ago
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