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2 years ago

15

Suppose 8 out of every 20 students are absent from school less than five (5) days a year. Predict how many students would be abs

ent from school less than five (5) days a year out of 40,000 students

2 answers:

nikklg [1K]2 years ago

6 0

Yes yes it is ok mhm

Zolol [24]2 years ago

4 0

Answer:

the answer is 16,000 students

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Which function has an inverse that is also a function?

natali 33 [55]

Answer:

Which function has an inverse that is also a function

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2 years ago

Maximize Q=3xy^2, where x and y are positive numbers such that x+y^2=2

Ivanshal [37]

Sub x = 2-y^2 to Q, we get:
Q = 3(2-y^2)*y^2
let y^2 = k
Q = 3(2-k)k = 3(2k-k^2)
2k-k^2 has a max when k = 1
Then y^2 = 1 -> y = 1 or -1

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3 years ago

Let ρ = x3 + xe−x for x ∈ (0, 1), compute the center of mass.

hram777 [196]

The center of mass is mathematically given as

$\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

<h3>What is the center of mass.?</h3>

Determine the center of mass in one dimension:

Represent the masses at the respective distances.

$\begin{|c|c|} Masses \ & \ \ \ \ \ \ \ \ \ \ \ \ \ \ Located at \\\rho=x^{3}+x \cdot e^{-x} & \ \ \ \ x \in(0,1)$ \\\end$

We calculate the total mass of the system.

$\begin{aligned}m &=\int_{0}^{1} \rho \cdot d x \\& m =\int_{0}^{1}\left(x^{3}+x \cdot e^{-x}\right) \cdot d x \\&m =\left|\frac{x^{4}}{4}-(x+1) e^{-x}\right|_{0}^{1} \\&m =\left(\frac{5}{4}-\frac{2}{e}\right)\end{aligned}$

Step 03: Calculate the moment of the system.

$\begin{aligned}M &=\int_{0}^{1}(\rho \cdot x) \cdot d x \\& M=\int_{0}^{1}\left(x^{4}+x^{2} \cdot e^{-x}\right) \cdot d x \\&M =\left|\frac{x^{5}}{5}-\left(x^{2}-2 x+2\right) \cdot e^{-x}\right|_{0}^{1} \\&M=\left(\frac{11}{5}-\frac{5}{e}\right)\end{aligned}$

we calculate the center of mass.

$\begin{aligned}\bar{x} &=\left(\frac{M}{m}\right) \\& \bar{x}=\left\{\left(\frac{\left.11-\frac{5}{5}\right)}{\left(\frac{5}{4}-\frac{2}{e}\right)}\right\}\right.\\& \bar{x}=\left(\frac{11 e-25}{5 e}\right) \cdot\left(\frac{4 e}{5 e-8}\right) \\&\bar{x}=\left(\frac{44 e-100}{25 e-40}\right)\end{aligned}$

Read more about the center of mass.

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1 year ago

You plant a garden in the shape of a triangle as shown in the figure. What is the perimeter of the garden? Find the values of x

Vadim26 [7]

Answer:

x = 42°

y = 69°

Step-by-step explanation:

From the picture attached,

Given triangle is an isosceles triangle.

Therefore, two sides will be equal and measure 8 yd.

Measure of 3rd side of the triangle = 6 yd

Perimeter of the garden = 8 + 8 + 6

= 22 yd

In an isosceles triangle, opposite angles of the equal sides will be equal.

Therefore, y = 69°

By the property of interior angles of a triangle,

x° + y° + 69° = 180°

x° + 69° + 69° = 180°

x = 180 - 138

x = 42°

7 0

2 years ago

What is the acceleration of an object in air that has a velocity of Om/s?

pochemuha

Answer:

9.8m/s^2

Step-by-step explanation:

5 0

2 years ago