40 thousands =

Hello all, this is for an assignment in my Calculus 2 class. I'm submitting it online, and it keeps saying my answer is wrong :(

kolezko [41]

$\bf \displaystyle \cfrac{1}{5-2}\int\limits_{2}^{5}\ \cfrac{t}{\sqrt{5+t^2}}\cdot dt\\\\
-----------------------------\\\\
u=5+t^2\implies \cfrac{du}{dt}=2t\implies \cfrac{du}{2t}=dt\\\\
-----------------------------\\\\$

$\bf \displaystyle \cfrac{1}{3}\int\limits_{2}^{5}\ \cfrac{t}{\sqrt{u}}\cdot \cfrac{du}{2t}\implies \cfrac{1}{3}\cdot \cfrac{1}{2}\int\limits_{2}^{5}\ u^{-\frac{1}{2}}\cdot du\implies \cfrac{1}{6}\int\limits_{2}^{5}\ u^{-\frac{1}{2}}\cdot du
\\\\\\
\left. \cfrac{\sqrt{u}}{3} \right]_{2}^5\implies \cfrac{\sqrt{5}}{3}-\cfrac{\sqrt{2}}{3}\implies \cfrac{\sqrt{5}-\sqrt{2}}{3}$

8 0

3 years ago

Read 2 more answers

We have to choose 5 people to form a student government. We have to pick 5 people out of 7 girls and 5 boys.

qwelly [4]

Answer:

The probability of picking at least three boys is $\frac{5}{41}$ .

Step-by-step explanation:

We have to choose 5 people to form a student government.

We have to pick 5 people out of 7 girls and 5 boys.

What is the probability that at least 3 boys are a part of the student government?

The probability of picking 5 people out of 12 girls and boys = $\frac{5}{12}$

The probability of picking at least 3 boys excludes the probability of picking 3 girls. The probability of picking 3 girls = $\frac{3}{7}$

The probability of picking at least 3 boys = 1 - $\frac{3}{7}$ = $\frac{2}{7}$

The probability of picking 5 people and the probability of picking at least 3 boys = $\frac{5}{12}$ × $\frac{2}{7}$ = $\frac{5}{41}$

6 0

3 years ago

1/4hour 1/2hour 3/4 what is the total amount of time

olasank [31]

1/4+1/2=1/4+1/2=3/4

1/2=2/4

3/4 is the answer

6 0

4 years ago

For the inverse variation equation p=8/v, what is the value of V when p = 4

Travka [436]

Answer:
V
=
2

Explanation:
we can rearrange the equation

p
1
=
8
V
←
cross-multiplying gives

p
V
=
8
←
divide both sides by p

⇒
V
=
8
p
=
8
4
=
2

4 0

3 years ago

Read 2 more answers

PLEASE HELP! Explain

skelet666 [1.2K]

Answer:

x=17

Step-by-step explanation:

See those same little "triangles" on each right end of the horizontal lines? That means that the horizontal lines are parallel. And the vertical line that passes through both of them is called a transversal. Whenever we have that situation - where parallel lines are being intersected by a transversal - we can then know which angles are equal to each other using some postulates.

The angles with the given equations shown are corresponding angles. We know this because they are in the same matching corners created by the intersections. And by using the Corresponding Angles Postulate, which states that corresponding angles are congruent (or equal) we then know that 5x-25 and 3x+9 must be equal to each other, too.

From there, we can set up an equation to find x. Just set them equal to each other like so and solve:

$5x-25=3x+9$

$2x -25 = 9$

$2x = 34$

$x = 17$

Therefore, x = 17. Please don't hesitate to ask any questions!

7 0

3 years ago

40 thousands = _tens?