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Ksenya-84 [330]
3 years ago
12

Please help me do this 2 assignments (:

Mathematics
1 answer:
amm18123 years ago
8 0
4)120
5) -24a¹⁰
………………
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3x To the power of -2 X 4x To the power of -3
damaskus [11]

Answer:

Answer = 12 x^{-5}

Step-by-step explanation:

Step 1:-

simplifying 3 x^{-2} × 4 x^{-3}

3 × 4(x^{-2} )(x^{-3} )

base are equal powers are added

on simplification 12 x^{-5}

6 0
3 years ago
One watering system needs about three times as long to complete a job as another warning system when both systems operate at the
algol13

Answer:

One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

Step-by-step explanation:

Given:

Both the system can complete the job = 9 minutes

We need find the time required by each system to do the job.

Solution:

Let the time required by another watering system to complete the job be 'x' mins.

Now given:

One watering system needs about three times as long to complete a job as another watering system.

Time required by one watering system = 3x

Rate to complete the job by another watering system = \frac{1}{x}\ job/min

Rate to complete the job by One watering system = \frac{1}{3x}\ job/min

Rate at which both can complete the job = \frac{1}{9}\ job/min

So we can say that;

Rate at which both can complete the job is equal to sum of Rate to complete the job by another watering system and Rate to complete the job by One watering system.

framing in equation form we get;

\frac{1}{x}+\frac{1}{3x}=\frac19

Now taking LCM to make the denominator common we get;

\frac{1\times3}{x\times 3}+\frac{1\times1}{3x\times1}=\frac19\\\\\frac{3}{3x}+\frac{1}{3x}=\frac19\\\\\frac{3+1}{3x}=\frac{1}{9}\\\\\frac{4}{3x}=\frac{1}{9}

By Cross multiplication we get;

4\times9 =3x\\\\3x =36

Dividing both side by 3 we get;

\frac{3x}{3}=\frac{36}{3}\\\\x=12\ min

Time required by One watering system = 3x =3\times 12 =36\ min

Hence One watering system requires 36 minutes to complete the job alone while another watering system requires 12 minutes to complete the job alone.

6 0
3 years ago
Graph the equation (x - 3)^2 + (y - 2)^2 = 25 and y = 6.
Dmitriy789 [7]

Answer:

x=6, x=0

Step-by-step explanation:

(x - 3) ^{2}+ (y - 2) ^{2}= 25

(x - 3) ^{2}+ (6 - 2) ^{2}= 25

x=6, x=0

3 0
3 years ago
1) 5.10-2.8.16. 10-1
const2013 [10]

Answer: -2511 (if the periods mean multiplication)

Step-by-step explanation:

I’m not sure whether you’re trying to have the periods be multiplication, but if that’s what they are, this is the answer

5x10-2x8x16x10-1

50-16x160-1

50-2560-1

-2511

Again, I’m not sure if that’s what you mean but I can’t really see what else they would mean since you can’t have a 3 part decimal

5 0
3 years ago
If the sum of a number and four is tripled the result is eight less than twice the number
Drupady [299]

Answer:

The number is -20.

Step-by-step explanation:

If x is the number, then 3(x+4)=2x-8.

3x+12=2x-8

x=-20

5 0
2 years ago
Read 2 more answers
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