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vekshin1
3 years ago
8

Given m|n, find the value of x.

Mathematics
1 answer:
horsena [70]3 years ago
6 0

Answer:

x=150

Step-by-step explanation:

x+30=180[co-interior angle]

x=180-30

x=150

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15- -10 x -20 divided by (12 + -8)<br><br> What is the answer?
kobusy [5.1K]

Answer:

          10x - 5 / 4

Step-by-step explanation:

        15 - ( -10x ) - 20 / ( 12 + ( -8 ) )

      = ( -5 ) + 10x / ( 4 )

      = 10x - 5 / 4

<em>Hope it helps</em>

<em>:D</em>

3 0
3 years ago
Shelby purchases her college books for the upcoming semester. She has to pay $98 for a biology book, $38 for a used poetry book,
DerKrebs [107]

Answer:

Shelby will pay 141.55 dollar tax.

4 0
3 years ago
Read 2 more answers
Find the absolute extrema of f(x) = e^{x^2+2x}f ( x ) = e x 2 + 2 x on the interval [-2,2][ − 2 , 2 ] first and then use the com
fredd [130]

f(x)=e^{x^2+2x}\implies f'(x)=2(x+1)e^{x^2+2x}

f has critical points where the derivative is 0:

2(x+1)e^{x^2+2x}=0\implies x+1=0\implies x=-1

The second derivative is

f''(x)=2e^{x^2+2x}+4(x+1)^2e^{x^2+2x}=2(2x^2+4x+3)e^{x^2+2x}

and f''(-1)=\frac2e>0, which indicates a local minimum at x=-1 with a value of f(-1)=\frac1e.

At the endpoints of [-2, 2], we have f(-2)=1 and f(2)=e^8, so that f has an absolute minimum of \frac1e and an absolute maximum of e^8 on [-2, 2].

So we have

\dfrac1e\le f(x)\le e^8

\implies\displaystyle\int_{-2}^2\frac{\mathrm dx}e\le\int_{-2}^2f(x)\,\mathrm dx\le\int_{-2}^2e^8\,\mathrm dx

\implies\boxed{\displaystyle\frac4e\le\int_{-2}^2f(x)\,\mathrm dx\le4e^8}

5 0
3 years ago
In the general population, one woman in eight will develop breast
MArishka [77]

Answer:

a) 8/10

b) 0.001 \overline{33}

c) Independent events

Step-by-step explanation:

The given information are;

The proportion of women than carries a mutation of the BRCA gene, P(A) = 1/600

The proportion of women in which the mutation develops breast cancer, P(B) = 8/10

a) The probability that a randomly selected woman will develop breast cancer given that she has a mutation of the BRCA gene is given as follows;

1 × P(B) = 1 × 8/10 = 8/10

b) The probability, P that a randomly selected woman woman will carry the mutation of the BRCA gene and will develop breast cancer is given as follows;

P(A) × P(B) = 1/600×8/10 = 1/750 = 0.001 \overline{33}

c) The events are dependent

Given that P(A) × P(B) = P(A∩B), the events of carrying the mutation and developing Breast cancer are independent events.

4 0
3 years ago
A squre has 12cm length find it's area and perimeter​
Alenkinab [10]

Answer:

a=L² is is the formula for the area of square. where L represent the length.

a=(12cm)²

a=144cm²

p=4(L) is the formula for the perimeter of a square. where L represent the length

p=4(12cm)

p=48cm

6 0
3 years ago
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