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3 years ago

Please help me with this word problem.

Mathematics

1 answer:

koban [17]3 years ago

7 0

I would say 6 hours but i don’t think it is, sorry this one is a real tricky one

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What do you call a characteristic of a living thing that helps it survive?

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Answer:

An adaptation is a characteristic that helps a living thing survive and reproduce. True Natural selection is a change in the characteristics of living things over thing

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3 years ago

How do you integrate arctan(x dx? i think that if you simplify the integral you get:?

Temka [501]

Integration by parts will help here. Letting $u=\arctan x$ and $\mathrm dv=\mathrm dx$ , you end up with $\mathrm du=\dfrac{\mathrm dx}{1+x^2}$ and $v=x$ . Now

$\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du$
$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx$

For the remaining integral, setting $y=1+x^2$ gives $\dfrac{\mathrm dy}2=x\,\mathrm dx$ , so

$\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C$

Putting everything together, you end up with

$\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C$

6 0

3 years ago

HELPPPPPPPPPPPPPPP RATE 5 STARSS

Stels [109]

Answer:

13. c,

14. a.

Step-by-step explanation:

13. The length of a side PQ with coordinates of

P as (x,y) and Q as (w,z)

is: $\sqrt{(x-w)^{2} +(y-z)^{2} }$

so, the length of the side AB =

$\sqrt{(5-5)^{2}+(-2+7)^{2} } =\sqrt{0^{2}+5^{2} } =5$

the length of side BC =

$\sqrt{(5-1)^{2}+(-7+2)^{2} } =\sqrt{(4)^{2}+(-5)^{2} } =\sqrt{4^{2}+5^{2} }$

the length of side AC=

$\sqrt{(5-1)^{2} +(-2+2)^{2} } =\sqrt{4^{2} } =4$

now, the easiest one will be when the vertices are on the coordinate axes.

so, option c will be the most appropriate one.

14. If u see the figure clearly, the lines l and FH are parallel.

the parallel postulate, i.e, the alternate interior angles will always be congruent.

here, the alternate interior angles are angle1 and angle4.

therefore to prove this step, he used parallel postulate as a reason.

so, the correct option is "a"

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4 years ago

△FSB∼△ZDR . What is the value of x? Enter your answer. How many units?

kari74 [83]

Answer: 22

---------------------------------------------------------

Explanation:

The triangles are similar, so we know the corresponding sides form ratios that are equal.

Note how...
FS and ZD are the first two letters of FSB and ZDR respectively
FB and ZR are the first & last letters of FSB and ZDR respectively

Based on those two facts above, we can form this proportion
FS/ZD = FB/ZR
38/15.2 = 55/x

Solve for x
38/15.2 = 55/x
38*x = 15.2*55
38*x = 836
x = 836/38
x = 22

4 0

4 years ago

11. Sharon pays $98.75 for twenty-five

trasher [3.6K]

Answer:

$3.95

98.75 divided by 25

3 0

4 years ago

Read 2 more answers