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3 years ago

9

5,000 ones equal to how many thousands

1 answer:

elena-14-01-66 [18.8K]3 years ago

6 0

5 because a thousand means 1000 and u got 5 times 1000 so its 5000

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Dominic earns $18 an hour plus $25 an hour for every hour of overtime. Overtime hours are any hours more than 35 hours for the w

alexgriva [62]

Part A: (no overtime) E = 18x. Please note that x cannot exceed 35, thus E cannot exceed $630.

Part B: T = 25y + 18x where x = 35 hours. Thus, T = 25y + 630.

Part C: T = $730. 730 = 630 + 25y. Subtract 630 from both sides. 100 = 25y. Divide both sides by 25. y = 4. This is the number of overtime hours -- remember that Dominic has already worked 35 hours non-overtime. 35 + 4 = $730.

6 0

3 years ago

Use mathematical induction to prove that for each integer n > 4,5" > 2^2n+1 + 100.

Flura [38]

Answer:

The inequality that you have is $5^{n}>2^{2n+1}+100,\,n>4$ . You can use mathematical induction as follows:

Step-by-step explanation:

For $n=5$ we have:

$5^{5}=3125$

$2^{(2(5)+1)}+100=2148$

Hence, we have that $5^{5}>2^{(2(5)+1)}+100.$

Now suppose that the inequality holds for $n=k$ and let's proof that the same holds for $n=k+1$ . In fact,

$5^{k+1}=5^{k}\cdot 5>(2^{2k+1}+100)\cdot 5.$

Where the last inequality holds by the induction hypothesis.Then,

$5^{k+1}>(2^{2k+1}+100)\cdot (4+1)$

$5^{k+1}>2^{2k+1}\cdot 4+100\cdot 4+2^{2k+1}+100$

$5^{k+1}>2^{2k+3}+100\cdot 4$

$5^{k+1}>2^{2(k+1)+1}+100$

Then, the inequality is True whenever $n>4$ .

3 0

3 years ago

Find the value of the length <br> x<br> rounded to 1 DP.

bagirrra123 [75]

Length of x is 98.2 m

<u>Step-by-step explanation:</u>

Step 1:

Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.

tan 27° = opposite side/adjacent side = opposite side/9

∴ Opposite side = 9 tan 27° = 9 × - 3.27 = -29.46 m

Step 2:

Use this side and trigonometric ratio cosine to find the value of x.

cos 49° = adjacent side/x = -29.46/x

∴ x = -29.46/cos 49° = -29.46/0.30

= 98.2 m (negative value neglected)

5 0

3 years ago

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If you know the y-intercept of a line what else do you need to write it equal

andreev551 [17]

Answer: do you mean, “if you have the y-int, what else do you need to write an equation?”

If that’s what you mean then you need the slope

Step-by-step explanation:

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3 years ago

Jan’s family has 3/4 of a cake left. How many members of her family can get 1/4 of what is left?

VikaD [51]

Answer:

3

Step-by-step explanation:

3/4 divided by 1/4 equals 3

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3 years ago

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