Sami made $23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What is his hourly and weekly pay rate

Answer:

The differential equation is [tex]\frac{dR}{dt} = -kR[/tex]

Step-by-step explanation:

Differential equation for the rate of change in radiation level:

Radiation level is R.

Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:

[tex]\frac{dR}{dt}[/tex]

After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:

[tex]\frac{dR}{dt} = -kR[/tex]

1. Radius (r) of the sphere = 10 units. (Given)

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (10)²

Surface area of the sphere = 4 × π × 10 × 10

Surface area of the sphere = 400π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (10)³

Volume of the sphere = 4/3 × π × 10 × 10 × 10

Volume of the sphere = 4000π/3

Volume of the sphere = 1333.3π cubic units. [approx] (Ans)

__________________________________

2. Diameter of the sphere = 16 units. (Given)

Radius (r) of the sphere = 16/2 = 8 units.

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (8)²

Surface area of the sphere = 4 × π × 8 × 8

Surface area of the sphere = 256π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (8)³

Volume of the sphere = 4/3 × π × 8 × 8 × 8

Volume of the sphere = 2048π/3

Volume of the sphere = 682.6π cubic units. [approx] (Ans)

__________________________________

3. Radius (r) of the sphere = 5 units. (Given)

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (5)²

Surface area of the sphere = 4 × π × 5 × 5

Surface area of the sphere = 100π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (5)³

Volume of the sphere = 4/3 × π × 5 × 5 × 5

Volume of the sphere = 500π/3

Volume of the sphere = 166.6π cubic units. [approx] (Ans)

__________________________________

4. Diameter of the sphere = 18 units. (Given)

Radius (r) of the sphere = 18/2 = 9 units.

• Surface area of the sphere = 4πr².

Surface area of the sphere = 4 × π × (9)²

Surface area of the sphere = 4 × π × 9 × 9

Surface area of the sphere = 324π units. (Ans)

And,

• Volume of the sphere = 4/3πr³.

Volume of the sphere = 4/3 × π × (9)³

Volume of the sphere = 4/3 × π × 9 × 9 × 9

Volume of the sphere = 2916π/3

Volume of the sphere = 972π cubic units. (Ans)

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Answer:

9

Step-by-step explanation:

3 3/4= 3.75.

3.75-2=1.75

1.75+5.5=7.25 or 7 1/4

7.25+1.75=9

Answer:

35 L

Step-by-step explanation:

because it cant be 1/4

Answer:

y=4

Step-by-step explanation:

in a 45-45-90 triangle sides a and b are equal and the hypotenuse is [tex]a\sqrt{2}[/tex]

so in this case y is a leg, so it is 4

in case there is a part two where they ask what x is, it would be [tex]4\sqrt{2}[/tex]

Answer:

0.02

Step-by-step explanation:

i dont know if u want explanation

Answer:

55 students

Step-by-step explanation:

all you do is 220*.25 and you get the answer

Answer:

there have to be a number

Step-by-step explanation:

Answer:

D. A over 4

Step-by-step explanation:

One quarter is equal to [tex]\frac{1}{4}[/tex]. If her aunt is age 'a', than Salina's age is a/4

Hope this helps.

Answer:

For question 1 it's B

For question 2 it's C

Step-by-step explanation:

For question 1, you have to apply the "Triangle Inequality Theorem"

A+B > C

B+C > A

A+C > B

Let's say that A=22, B=17, C= 14

22+17 > 14       True

17+14 > 22       True

22+14 > 17       True

Therefore, the answer is B

For question 2, you apply the rule of the sum of the triangles which is 180°

70+70+? = 180

140+? = 180

? = 40

Therefore, it's C

Answer:

<3=105°

Step-by-step explanation:

The angle directly to the right of the 75° angle is 105°, as the angles along a straight line add to 180.

<3=105° because they are corresponding angles

Answer:

Solution given:

<3+75=180[co- interior angle]

<3=180°-75°=105°

<3=105°

Answer:

I believe it should be feg

Answer:

Step-by-step explanation:

Cross-multiply and solve for x:

Correct choice is C

Answer:

[tex]C\left[\begin{array}{ccc}370\\228.5\\332\end{array}\right][/tex]

Answer:

C

Step-by-step explanation:

i have verified on the internet with other websites

Answer:

y=-2x-7

Step-by-step explanation:

lines are typically written in y=mx+b form, where m is the slope and b is the y intercept

we are given the line y=1/2x-4

perpendicular lines are negative and reciprocal; if the slopes are multiplied together, the result is -1

so to find the slope of the new line, use this formula:

1/2m=-1

multiply by 2

m=-2

so the slope is -2

here's the equation so far, written in y=mx+b form

y=-2x+b

we need to find b

because the line passes through the point (-4,1), we can use it to solve for b

substiute -4 as x and 1 as y

1=-2(-4)+b

1=8+b

-7=b

so b is -7

therefore the line is:

y=-2x-7

Hope this helps! :D

Answer:

values that make the inequality true would be any absolute number that is bigger than 4

so that would be n>5

Step-by-step explanation:

Answer: 10 out of 28 chancd

Step-by-step explanation:

Answer:

4/28

Step-by-step explanation:

trust me

Answer:

a = 13

Step-by-step explanation:

a = 13

Answer:

B

Step-by-step explanation:

Answer:

First Circle

Radius = 6

Diameter = 12

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 6 = 37.68

2nd Circle

Radius = 3

Diameter =  6

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 3 = 18.84

Hope This Helps!

Answer:15

Step-by-step explanation:

Answer:  The value of the median is 15.

Step-by-step explanation:

Here's the Answer,

the given outcome is an impossible event, because the sum of numbers can't be less than 2 hence, sum equal to 1 isn't possible.

And we know, the probablity of an impossible event is 0.

Answer:

Bill earns $220.00 in 22 weeks.

Step-by-step explanation:

If he is paid 20 dollars every 2 weeks for a car wash, we need to find out how many he gets for 22 weeks.

20 dollars = 2 weeks, to find 22, multiply both of the values by 11 to get to 22.

11(2 weeks = 20 dollars)

22 weeks = 220.

The amount of money earned in 22 weeks is $220.

Option D is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The amount for each car wash = $20

Number of car wash in two weeks = 1

Now,

Number of car washes in 22 weeks.

= 22 / 2

= 11

Now,

The amount earned in 11 car washes.

= 11 x 20

= $220

Thus,

Amount earned in 22 weeks is $220.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

9

Step-by-step explanation:

9 squared plus 40 squared= 41 squared

Answer:

[tex]\frac{11}{20}[/tex]

Step-by-step explanation:

[tex]\frac{4}{5} - \frac{1}{4}[/tex]          Subtract the students who don't have protractors from the students who have mathematical instruments.

[tex]\frac{11}{20}[/tex]

9514 1404 393

Answer:

  3/5

Step-by-step explanation:

We assume that every student with mathematical instruments who hasn't lost their protractor will have a protractor.

If 1/4 of the students with instruments lost their protractor, then the remaining 3/4 of students with instruments still have their protractors. The fraction of the class with protractors is ...

  (3/4)(4/5) = 3/5

3/5 of the students in the class have protractors.

Answer:

D

Step-by-step explanation:

Its D because when you rotate 360 degrees you end up back where you were

Answer:

5

Step-by-step explanation:

[tex] \sqrt{ {(9 - 6)}^{2} + {(6 - 2)}^{2} } = \\ \sqrt{ {3}^{2} + {4}^{2} } = \\ \sqrt{25} = \\ 5[/tex]