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4 years ago

8 out of 10 doctors use floss. There are 40 doctors. How many use floss?

Mathematics

2 answers:

gladu [14]4 years ago

7 0

Answer:

Step-by-step explanation:

8+8+8+8=32

vladimir1956 [14]4 years ago

7 0

Answer:

32 doctors use floss

Step-by-step explanation:

40/10=4

so 8*4=32

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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

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

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3 years ago

There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the

liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

5 0

3 years ago

An unprepared student makes random guesses for 6 multiple choice questions that have selections a -

kirill [66]

<span>P(at least 1 ) = 1 - P(exactly none) = 1 - (4/5)^6 = .738
Hope this helps!!!:)</span>

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3 years ago

The school's basketball team lost 4 times as many games as they won. They also tied 5 fewer games than they won.

jekas [21]

Let w won games, t tied games, s lose games

s=4w

t=w-5

s+t+w=43

4w+(w-5)+w=43

6w=48

w=7

s=4*7=21 games lost

7 0

3 years ago

Transform the polar equation to a Cartesian (rectangular) equation: r= 4sinθ

sweet-ann [11.9K]

Answer:

x^2 +y^2 = 4y

Step-by-step explanation:

Using the usual translation relations, we have ...

r^2 = x^2+y^2

x = r·cos(θ)

y = r·sin(θ)

Substituting for sin(θ) the equation becomes ...

r = 4sin(θ)

r = 4(y/r)

r^2 = 4y

Then, substituting for r^2 we get ...

x^2 +y^2 = 4y . . . . . matches the first choice

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3 years ago