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3 years ago

What did the boy bumper car say to the girl bumper car

Mathematics

1 answer:

igomit [66]3 years ago

5 0

Answer:

may I have the next dents?

Step-by-step explanation:

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f(x) = 3 cos(x) 0 ≤ x ≤ 3π/4 evaluate the Riemann sum with n = 6, taking the sample points to be left endpoints. (Round your ans

Kruka [31]

Answer:

$\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558$

Step-by-step explanation:

We want to find the Riemann sum for $\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx$ with n = 6, using left endpoints.

The Left Riemann Sum uses the left endpoints of a sub-interval:

$\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_0)+f(x_1)+2f(x_2)+...+f(x_{n-2})+f(x_{n-1})\right)$

where $\Delta{x}=\frac{b-a}{n}$ .

Step 1: Find $\Delta{x}$

We have that $a=0, b=\frac{3\pi }{4}, n=6$

Therefore, $\Delta{x}=\frac{\frac{3 \pi}{4}-0}{6}=\frac{\pi}{8}$

Step 2: Divide the interval $\left[0,\frac{3 \pi}{4}\right]$ into n = 6 sub-intervals of length $\Delta{x}=\frac{\pi}{8}$

$a=\left[0, \frac{\pi}{8}\right], \left[\frac{\pi}{8}, \frac{\pi}{4}\right], \left[\frac{\pi}{4}, \frac{3 \pi}{8}\right], \left[\frac{3 \pi}{8}, \frac{\pi}{2}\right], \left[\frac{\pi}{2}, \frac{5 \pi}{8}\right], \left[\frac{5 \pi}{8}, \frac{3 \pi}{4}\right]=b$

Step 3: Evaluate the function at the left endpoints

$f\left(x_{0}\right)=f(a)=f\left(0\right)=3=3$

$f\left(x_{1}\right)=f\left(\frac{\pi}{8}\right)=3 \sqrt{\frac{\sqrt{2}}{4} + \frac{1}{2}}=2.77163859753386$

$f\left(x_{2}\right)=f\left(\frac{\pi}{4}\right)=\frac{3 \sqrt{2}}{2}=2.12132034355964$

$f\left(x_{3}\right)=f\left(\frac{3 \pi}{8}\right)=3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=1.14805029709527$

$f\left(x_{4}\right)=f\left(\frac{\pi}{2}\right)=0=0$

$f\left(x_{5}\right)=f\left(\frac{5 \pi}{8}\right)=- 3 \sqrt{\frac{1}{2} - \frac{\sqrt{2}}{4}}=-1.14805029709527$

Step 4: Apply the Left Riemann Sum formula

$\frac{\pi}{8}(3+2.77163859753386+2.12132034355964+1.14805029709527+0-1.14805029709527)=3.09955772805315$

$\int_{0}^{\frac{3 \pi}{4}}3 \cos{\left(x \right)}\ dx\approx 3.099558$

5 0

3 years ago

Find the length of side x in simplest radical form with a rational denominator.

madreJ [45]

Answer:

x=2√5

Step-by-step explanation:

1st method:

sin(30)=opposite/hypotenuse=√5/x

sin(30)x=√5

x=√5/sin(30)

x=2√5

2nd method:

cos(60)=adjacent/hypotenuse=√5/x

cos(60)x=√5

x=√5/cos(60)

x=2√5

3rd method:

This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5

8 0

3 years ago

When stating the null and alternative hypotheses, the hypotheses are: Select one: a. Always about the statistic only b. Always a

Nata [24]

Answer:

D. Always about the parameter only

Step-by-step explanation: A Null Hypothesis is a hypothesis used in statistics to show that there is no variation among the variables of interest. A Null Hypothesis also can be said to be giving a proposal that there is not significant difference between the observed data.

An alternative hypothesis is a hypothesis in statistics given contrary to the Null Hypothesis,a Null hypothesis can also be seen in statistics as stating that something is happening among the data.

3 0

3 years ago

The quotient of b and 2 minus 4 is at least 26. I need this ASAP

Pavlova-9 [17]

For this case we must express the following expression algebraically:

"The quotient of b and 2 minus 4 is at least 26"

So we have to:

The quotient of b and 2 minus 4, is represented as: $\frac {b} {2-4}$

We have different signs subtracted and the sign of the major is placed:

$\frac {b} {- 2}$

Thus, the expression is written as:

$\frac {b} {2-4} \geq26\\\frac {b} {- 2} \geq26\\- \frac {b} {2} \geq26$

ANswer:

$\frac {b} {2-4} \geq26$

3 0

3 years ago

One desk requires 84 inches of a type of trim. Find the length of trim needed in inches for 5 desks. Then convert your answers t

gizmo_the_mogwai [7]

Answer:

420 inches or 35 feet of trim is needed for 5 desks.

Step-by-step explanation:

We know that one desk requires 84 inches, so we need to find out how many inches are needed for 5 desk.

If we know one desk needs 84 inches then we have 1 desk = 84 inches.

To get 5 desk, we need to multiply both sides by 5.

1 desk = 84 inches. (multiply by 5 for both sides)

5 desks = 84 * 5

5 desks = 420 inches

We know now that 5 desks require 420 inches, but many people use feet instead.

There are 12 inches in 1 foot, so we need to divide 420 inches by 12 inches to get how many feet we need.

420/12 = 35 feet.

Hope this helps!

8 0

3 years ago