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DanielleElmas [232]
3 years ago
9

Approximate the square root to the nearest integer (-√29)

Mathematics
1 answer:
Tom [10]3 years ago
7 0
Square root(-29) =5.38516481 i
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What is 56.398 rounded to the nearest tenth?
Vesna [10]
Well when you round to the nearest 10 it will be 1 number after the point (this is due to that 10 only has one 0.) now we know that if there is a number bigger than 5 besides the number they ask you in this case the first after the point you will add 1 to that number. in this case you will add 1 to the 3. this will give you the answer of 56.4

Hope this helps
6 0
3 years ago
Marcus hired a car service to drive him to the airport. The bill came to $56.80. He gave the driver a 20% tip. How much money di
aleksandr82 [10.1K]
He gave the driver a tip of $11.36

58.80*0.20 = 11.36
4 0
3 years ago
Read 2 more answers
Evaluate the integral ∫2−1|x−1|dx
defon

I think you might be referring to the definite integral,

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx

Recall the definition of absolute value:

|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

Then |x-1|=x-1 if x\ge1, and |x-1|=1-x is x. So spliting up the integral at <em>x</em> = 1, we have

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \int_{-1}^1(1-x)\,\mathrm dx + \int_1^2(x-1)\,\mathrm dx

The rest is simple:

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \left(x-\dfrac{x^2}2\right)\bigg|_{-1}^1 + \left(\dfrac{x^2}2-x\right)\bigg|_1^2 \\\\ = \left(\left(1-\frac12\right)-\left(-1-\frac12\right)\right) + \left(\left(2-2\right)-\left(\frac12-1\right)\right) \\\\ = \boxed{\frac52}

5 0
3 years ago
Sam &amp; Avery are making small and large birdhouses for a craft show. Small houses sell for $10 and large houses sell for $15.
Lemur [1.5K]

Answer:

  • 8 small houses; 0 large houses
  • 80 small houses; 0 large houses

Step-by-step explanation:

a) The maximum number of houses Sam can build in 24 hours is 8, so the constraint is in construction, not decoration. For each small house Sam constructs, he makes $10/3 = $3.33 per hour of work. For each large house Sam constructs, he makes $15/5 = $3.00 per hour. The most money is to be made by building only small houses.

Sam should make 8 small houses and 0 large houses in 24 hours.

__

b) If Sam works 8-hour days, then he can complete at most 80 small houses. The constraint remains in construction, so the answer is the same: build only small houses.

_____

If Sam works more than 16 2/3 hours per day, he can build 100 large houses or more, so the constraint moves to decoration. The decorator makes more money by decorating large houses, so all the effort should go to construction of large houses.

If Sam works between 10 and 16 2/3 hours per day, the best revenue will come from some mix. The problem statement is unclear as to how many hours Sam works in 30 days.

5 0
3 years ago
The sum of two numbers is 25. One of he numbers exceeds the other by 9. Find the numbers
Vitek1552 [10]
X + y = 25
x is the smaller number.
y is the smaller number plus 9 (x + 9).

x + (x + 9) = 25
2x + 9 = 25
2x = 16
x = 8

8 + y = 25
y = 17

The numbers are 8 and 17.
3 0
3 years ago
Read 2 more answers
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