MATHEMATICS HIGH SCHOOL

The volume of a cubical box is 10.648 cm cube. find the side of the cube.

Answers

Answer 1
Answer:

Answer:

Vcube = side ^3

10.648=c^3

side=22cm

V = \sqrt[3]{10648} =22

Step-by-step explanation:

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Greg and Josh want to go whitewater rafting in 3 weeks. Josh is able to save the $480 he needs to go on the trip by saving the pay he received for 5 hours of work each week. Greg must save 8 hours worth of pay each week in order to have enough money. How much more money does Josh make than Greg? a.

$10


b.

$12


c.

$14


d.

$20

Answers

We will find the rate of Greg and Josh earning money that is the amount of money they receive per unit time (hour)

 

Since the trip is in 3 weeks,

Number of hours Josh worked = 3 weeks * (5 hours/week) = 15 hours

Number of hours Greg worked = 3 weeks * (8 hours/week) = 24 hours

 

Josh’s rate = $480/15 hrs = $32/hr

Greg’s rate = $480/24 hrs = $20/hr

 

Therefore

Josh makes $12/hr more than Greg

Answer:

IT IS B

Step-by-step explanation:

6248 divided by 38
Quotient:
Remainder:

Answers

Quotient: 164
Remainder: 8/19

How much does 1/2 cup of epsom salts weight?

Answers

I believe the answer is 136.5g

Expanded form of 38 million hundred thousand and eight

Answers

the answer is 38,100,008 :)

Final answer:

The expanded form of the number '38 million hundred thousand and eight' is possibly '38,100,008'. However, without specifying how many 'hundred thousands', the question is ambiguous.

Explanation:

The expanded form of the number '38 million hundred thousand and eight' may seem confusing at first, but it helps to break it down. The number '38 million' is simply 38,000,000. By saying 'hundred thousand', one is indicating a value of 100,000. But, the question doesn't clarify how many 'hundred thousands' are being referred to. If it was one, the number would be 38,100,000.

The 'and eight' at the end simply adds 8 to the end of our number, making the final number 38,100,008 if there were a single 'hundred thousand'. However, without specifying how many hundred thousands, the question is ambiguous.

Learn more about Number Representation here:

brainly.com/question/35159594

#SPJ11

Is 28 prime, composite, or neither?

prime
composite
neither

Answers

28 can be divided evenly by numbers other than 1 or itself, therefore it is composite

Answer:

28 is even.

It is divisible by 2,4,28,7,14

It is composite ( has more than 2 factors)

Step-by-step explanation:

Refer to the figure and find the volume V generated by rotating the given region about the specified line.R3 about AB

Answers

Answer:

Hence, volume is: (34\pi)/(45) cubic units.

Step-by-step explanation:

We will first express our our equation of the curve and the line bounded by the region in terms of the variable y.

i.e. the curve is rex=(1)/(16)y^4

and the line is given as:  x=(1)/(2)y

Since after rotating the given region R_(3) about the line AB.

we see that for the following graph

the axis is located at x=1.

and the outer radius(R) is: (1)/(16)y^4

and the inner radius(r) is:  (1)/(2)y

Now, the area of the graph= area of the disc.

Area of graph=\pi(R^2-r^2)

Now the volume is given as:

Volume=\int\limits^2_0 {Area} \, dy

On calculating we get:

Volume=(34\pi)/(45) cubic units.

The volume V generated by rotating the given region about the specified line R3 about AB is \boxed{\frac{{34\pi }}{{45}}{\text{ uni}}{{\text{t}}^3}}.

Further explanation:

Given:

The coordinates of point A is \left( {1,0} \right).

The coordinates of point B is \left( {1,2} \right).

The coordinate of point C is \left( {0,2} \right).

The value of y is y = 2\sqrt[4]{x}.

Explanation:

The equation of the curve is y = 2\sqrt[4]{x}.

Solve the above equation to obtain the value of x in terms of y.

\begin{aligned}{\left( y \right)^4}&={\left( {2\sqrt[4]{x}} \right)^4} \n{y^4}&=16x\n\frac{1}{{16}}{y^4}&= x\n\end{aligned}

The equation of the line is x = (1)/(2)y.

After rotating the region {R_3} is about the line AB.

From the graph the inner radius is {{r_2} = (1)/(2)y and the outer radius is {{r_1}=\frac{1}{{16}}{y^4}.

{\text{Area of graph}}=\pi\left( {{r_1}^2 - {r_2}^2} \right)

Area = \pi\left( {{{\left({\frac{1}{{16}}{y^4}} \right)}^2} - {{\left({(1)/(2)y} \right)}^2}}\right)

The volume can be obtained as follows,

\begin{aligned}{\text{Volume}}&=\int\limits_0^2 {Area{\text{ }}dy}\n&=\int\limits_0^2{\pi \left( {{{\left({\frac{1}{{16}}{y^4}} \right)}^2} - {{\left( {(1)/(2)y} \right)}^2}} \right){\text{ }}dy}\n&= \pi \int\limits_0^2 {\left( {\frac{1}{{256}}{y^8} - (1)/(4){y^2}} \right){\text{ }}dy}\n\end{aligned}

Further solve the above equation.

\begin{aligned}{\text{Volume}}&=\pi \left[ {\int\limits_0^2 {\frac{1}{{256}}{y^8}dy - } \int\limits_0^2{(1)/(4){y^2}{\text{ }}dy} } \right]\n&= \frac{{34\pi }}{{45}}\n\end{aligned}

The volume V generated by rotating the given region about the specified line R3 about AB is \boxed{\frac{{34\pi }}{{45}}{\text{ uni}}{{\text{t}}^3}}.

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Volume of the curves

Keywords: area, volume of the region, rotating, generated, specified line, R3, AB, rotating region.

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