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dalvyx [7]
4 years ago
6

Answer:

Mathematics
2 answers:
DaniilM [7]4 years ago
4 0
C it’s c definition of parolleogram I’m just gonna start saying random words
valentinak56 [21]4 years ago
4 0

Answer:

A) Diagonals of a parallelogram bisect each other

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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
Question 4 0
BartSMP [9]

Answer:

Fail to reject the null hypothesis because 0.15>0.05

. There is not convincing evidence that defensive players can bench-press more weight, on average, than offensive players.

Step-by-step explanation:

Since P>a we can not reject the null hypothesis. We cannot conclude the alternative hypothesis in context.

5 0
3 years ago
A typical snake bite delivers 0.0045 grams of venom. Maria and Tammy were asked to write this number in scientific notation. The
Stolb23 [73]

Answer:

Maria

Step-by-step explanation:

A typical snake bite delivers 0.0045 grams of venom.

Maria wrote it in scientific notation as 4.5\times 10^{-3}

Tammy wrote it in scientific notation as 4.5\times 10^{3}

Any number can be written in the form of scientific notation as follows :

N=a\times 10^b (a is real no and b is integer)

The given no is 0.0045.

There are 2 zeroes before 4. Also the decimal is there before 2 zeroes.

0.0045=\dfrac{45}{10000}\\\\=\dfrac{45}{10}\times \dfrac{1}{1000}\\\\=4.5\times 10^{-3}

Hence, Maria is correct.

6 0
3 years ago
Three times a number minus five equals two times the number.what is the equation
kirill [66]
3x - 5 = 2x is the equation
5 0
3 years ago
Find the area of the shaded region .
klasskru [66]
Area of the shaded region=area of the greater rectangle- area of the inner rectangle.

Area of a rectangle=length x width.

Area of the greater rectangle=(8x-1)(6x)
area of the inner rectangle=(5x+3)(2x)

Area of the shaded region=(8x-1)(6x)-(5x+3)(2x)
=48x²-6x-(10x²+6x)
=48x²-6x-10x²-6x
=38x²-12x

Answer: the area of the shaded region would be: 38x²-12x
8 0
4 years ago
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