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serg [7]
3 years ago
8

There are twelve shirts in your closet: five blue, four green, and three red. You randomly select one to wear. What is the proba

bility it is blue or green?
A)
5
36
B)
11
12
C)
2
5
D)
3
4
Mathematics
1 answer:
Valentin [98]3 years ago
8 0
It is D 3/4 because if have to divide 12/3
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Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer
lyudmila [28]

If

f(\theta)=10\cos\theta+5\sin^2\theta

then the derivative is

f'(\theta)=-10\sin\theta+10\sin\theta\cos\theta

Critical points occur where f'(\theta)=0. This happens for

-10\sin\theta+10\sin\theta\cos\theta=0

-10\sin\theta(1-\cos\theta)=0

\implies-10\sin\theta=0\text{ or }1-\cos\theta=0

In the first case, we find

-10\sin\theta=0\implies\sin\theta=0\implies\theta=n\pi

In the second,

1-\cos\theta=0\implies\cos\theta=1\implies\theta=2n\pi

So all the critical points occur at multiples of \pi, or n\pi. (This includes all the even multiples of \pi.)

3 0
3 years ago
The mass of a sheet of metal varies jointly with its area and its thickness. A sheet of metal of area 250cm2 and thickness 1mm h
noname [10]

The Formula of the relation is M = 8AT.

The mass of the metal sheet is 960 g.

The expression below shows the variation between the mass of the sheet (M), Area of the Sheet(A), and thickness (T).

Proportionality:

  • M ∝ AT

Removing the proportionality sign,

  • M = KAT

Where:

  • K = constant of proportionality.

make K the subject of the equation:

  • K = M/KT.................... Equation 1

From the question,

Given:

  • M = 200 g
  • A = 250 cm²
  • T = 1 mm = 0.1 cm

Susbtitute into equation 1

  • K = 200/(250×0.1)
  • K = 8 g/cm³

Formula:

  • M = 8AT................. equation 2

Hence the formula of the relation is M = 8AT

If,

  • A = 400 cm²
  • T = 3 mm = 0.3

Substitute these values into equation 2

  • M = 8(400)(0.3)
  • M = 960 g

Hence,  the mass of the metal sheet is 960 g

Learn more about joint variation here: brainly.com/question/26047253

6 0
2 years ago
The function f(x) is graphed on the coordinate plane.
soldier1979 [14.2K]

Answer:

f(-4) = 4

Step-by-step explanation:

Fro the graph attached,

We have to calculate the value of the function at x = -4.

As we can find from the graph at the input value x = -4, output value of the function is f(-4) = 4

Therefore, f(-4) = 4 will be the answer.

5 0
2 years ago
a strawberry cake is cut into three pieces. The Arc measures of all three pieces are congruent. What is the measure of angle XYZ
masya89 [10]

Answer:

I think the strawberry cake measure have to be 360⁰. so the arc measure is 360⁰÷3=100

so we have all three arcs congruent b/c all measures 100⁰

I think XYZ=100⁰

4 0
2 years ago
Read 2 more answers
I NEED HELP ASAP SOMEONE HELP ME PLEASE, I MEDD SOMEONE WHO CAN HELP ME WITH THE REST OF MY QUESTIONS
Vikentia [17]

Answer:

Step-by-step explanation:

K(0 , 4)

Midpoint M (3 , 3)

Let Point  L(x₂ , y₂)

Midpoint= (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\\\\\\ (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}) = (3 , 3)\\\\\\ (\frac{0+x_{2}}{2},\frac{4+y_{2}}{2}) = ( 3 , 3)\\\\\\

Compare x and y coordinates

\frac{x_{2}}{2}=3    ;  \frac{4+y_{2}}{2} = 3

Cross multiply,

x₂ = 3*2     ; 4 + y₂ = 3*2

x₂ = 6        ;  4+ y₂ = 6

                         y₂ = 6- 4

                          y₂ = 2

L(6 , 2)

8 0
3 years ago
Read 2 more answers
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