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melisa1 [442]
3 years ago
7

Every morning, Lillian collects eggs from the hens on her family's farm. She puts the eggs in cartons of 16. On Monday, Lillian

collected 37 eggs. How many more eggs will Lillian need to completely fill the next carton?
A)10
B)3
C)12
D)11
Mathematics
1 answer:
Mars2501 [29]3 years ago
5 0
Answer- D)11
37÷16=2 r5
16-5=11

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Prove that the statement (ab)^n=a^n * b^n is true using mathematical induction.
mamaluj [8]

Answer:

see below

Step-by-step explanation:

      (ab)^n=a^n * b^n

We need to show that it is true for n=1

assuming that it is true for n = k;

(ab)^n=a^n * b^n

( ab) ^1 = a^1 * b^1

ab = a * b

ab = ab

Then we need to show that it is true for n = ( k+1)

or (ab)^(k+1)=a^( k+1) * b^( k+1)

Starting with

  (ab)^k=a^k * b^k    given

Multiply each side by ab

ab *  (ab)^k= ab *a^k * b^k

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Therefore, the rule is true for every natural number n

5 0
3 years ago
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Rewrite the function in standard form.<br> f(x)= 3(x + 5)2 - 7
Anna007 [38]
Answer: F= 29
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3 0
2 years ago
A light bulb consumes 960 watt hours per day how long does it take to consume 4320 watt hours
VARVARA [1.3K]

Since we need to determine how long it takes for the watt hours to consume 4320 watt hours, we would need to divide.

We would simply divide.

4320/950= 4.5

The 4.5 represents how long it would take for the light bulb to consume 4320 watt hours.

Therefore, the answer would be 4.5 days.

<u>Answer</u>

4.5 days

<u>Recap</u>

1. We read the problem and determined that in order to solve the problem we would need to divide.

2. We then divided 4320/960= 4.5

3. We came to the conclusion that 4.5 days would be the answer.

7 0
3 years ago
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sweet-ann [11.9K]
The first one as the first number must be >= 1  Here it is 0.2.
3 0
2 years ago
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What is the equation of the line?
grigory [225]

This is a vertical line. Vertical lines are composed by points who share the same x coordinate.

That's why the equation of the line is exactly x=k, where k is the shared x coordinate.

In your case, the common x coordinate is 3, so the line is x=3

6 0
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