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vredina [299]
3 years ago
5

Ned has 55 marbles in his collection he has twice as many white marbles as red marbles he has five more blue marbles than white

marbles how many white marbles does Ned have
Mathematics
1 answer:
nika2105 [10]3 years ago
4 0

Answer:

7 marble's

Step-by-step explanation:

55 marbles and twice as many white marbles as red marbles and he has 5 more blue marbles than white marble's

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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
Help me im adding and subtracting integers plssss 40 points!!!!!! for it
Evgen [1.6K]

Answer and Step-by-step explanation:

Simply just adding and subtracting.

8 - 1 - 6 + 5 = 6

-2 + 6 - 3 - 4 = -3

-- 4 is 3 away from 7. The answer is positive 3.

-- The answer is negative 5.

-- The answer is positive 1.

-- The answer is 0.

-- The answer is negative 7.

-- The answer is -25.

-- The answer is 64.

-- The answer is 32.

-- The answer is 80.

-- The answer is -43.

-- The answer is 95.

-- The answer is 26

<u><em>#teamtrees #PAW (Plant And Water)</em></u>

4 0
3 years ago
Stanzas containing five lines are called:
butalik [34]
Quintet is what a stanza containing five lines is called.
5 0
3 years ago
Read 2 more answers
A new lawn has a perimeter of 278ft. And a width of 64ft. A bag of grass seed will cover 384ft of ground. How many bags of grass
Anit [1.1K]

Answer:

13 bags

Step-by-step explanation:

Area of the lawn: A=lw

w= 64 ft

P= 2(l+w)= 278 ft ⇒

  • l= 278/2- 64= 75 ft
  • A= 64*75= 4800 ft²

bags of seed required:

  • 4800/384= 12.5 so 13  full bags needed
7 0
3 years ago
Someone solve this please.
Archy [21]

Answer:

16x+2

Step-by-step explanation:

Perimeter- Length+width x2

(6x+4+2x-3)2

(8x+1)2

16x+2

6 0
2 years ago
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