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tigry1 [53]
3 years ago
5

Jackson can lay 6000 ft² of tile in 3 h. What is Jackson’s tile-laying rate?

Mathematics
2 answers:
Andreyy893 years ago
8 0

The answer by musiclover10045 is correct - 2000 is the answer. I got it right on my quiz.


pickupchik [31]3 years ago
4 0

divide 6000 by 3

6000 / 3 = 2000

 so he can do 2000 sq ft per hour

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Consider the region bounded by the curves y=|x^2+x-12|,x=-5,and x=5 and the x-axis
Tasya [4]
Ooh, fun

what I would do is to make it a piecewise function where the absolute value becomse 0

because if you graphed y=x^2+x-12, some part of the garph would be under the line
with y=|x^2+x-12|, that part under the line is flipped up

so we need to find that flipping point which is at y=0
solve x^2+x-12=0
(x-3)(x+4)=0
at x=-4 and x=3 are the flipping points

we have 2 functions, the regular and flipped one
the regular, we will call f(x), it is f(x)=x^2+x-12
the flipped one, we call g(x), it is g(x)=-(x^2+x-12) or -x^2-x+12
so we do the integeral of f(x) from x=5 to x=-4, plus the integral of g(x) from x=-4 to x=3, plus the integral of f(x) from x=3 to x=5


A.
\int\limits^{-5}_{-4} {x^2+x-12} \, dx + \int\limits^{-4}_3 {-x^2-x+12} \, dx + \int\limits^3_5 {x^2+x-12} \, dx

B.
sepearte the integrals
\int\limits^{-5}_{-4} {x^2+x-12} \, dx = [\frac{x^3}{3}+\frac{x^2}{2}-12x]^{-5}_{-4}=(\frac{-125}{3}+\frac{25}{2}+60)-(\frac{64}{3}+8+48)=\frac{23}{6}

next one
\int\limits^{-4}_3 {-x^2-x+12} \, dx=-1[\frac{x^3}{3}+\frac{x^2}{2}-12x]^{-4}_{3}=-1((-64/3)+8+48)-(9+(9/2)-36))=\frac{343}{6}

the last one you can do yourself, it is \frac{50}{3}
the sum is \frac{23}{6}+\frac{343}{6}+\frac{50}{3}=\frac{233}{3}


so the area under the curve is \frac{233}{3}
6 0
3 years ago
How many solutions does this equation have? d − 3 = –3 + d
Tomtit [17]
It has an infinite amount of solutions.

Explanation:
d-3 = -3+d which can be arranged as: d-3=d-3
Since they are equal to each other, no matter what number you input, your solution will be the same which means that there are an infinite amount of solutions. Let’s put this to the test and put in 5 for d. 5-3=5-3 is 2=2. They are equal to each other which means: infinite solution.
4 0
3 years ago
Ir AB - 4x + 9. BC = 5x + 2, and AC - 56. then find the value for x, AB, BC.
tiny-mole [99]

Answer:

A B - 4 x + 9 B C = 5 x + 2 = A = 9 x/ B + 2/ B − 9 C

A C − 56 = A = 9 x /B + 2/ B − 9 C

x=A=9x/B+2x/B-9C

I hope this helps

6 0
3 years ago
Read 2 more answers
If the original point A (3,5) is rotated 180 degrees what will the image point be​
Grace [21]

Answer:

5,3 I think or 5,4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Maria mows 2/3 of a lawn in 1/5 hour. How Many similar-sized lawns can she mow in 1 hour?
sp2606 [1]

Answer:

10/3 lawn

Step-by-step explanation:

2/3 of a lawn in 1/5 hour

-> 1 hour cab mow = 2/3(lawn) ÷ 1/5(hour)* 1(hour)

= 10/3 = 3,666666667 lawns

7 0
3 years ago
Read 2 more answers
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