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3 years ago

Julia 2 identical rooms in her house.if each room measures 8 feet on another , what is the total area of the rooms

Mathematics

1 answer:

olchik [2.2K]3 years ago

3 0

Answer:

64 feet squared

Step-by-step explanation:

8*8=64

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Which of the following algebraic expressions is not simplified?

Hunter-Best [27]

Answer:

B. $x+2x$

Step-by-step explanation:

we will verify each options

option-A:

we have

$x+1$

we can see that x and 1 are different terms

so, they are not like terms

so, we can not combine or simplify it

so, this is in simplest form

this is FALSE

option-B:

we have

$x+2x$

we can see that 2x and x are same type of terms

so, they are like terms

so, we can combine or simplify it

$x+2x=3x$

So, this expression is not in simplest form

this is TRUE

option-C:

we have

$x^2+x$

we can see that x^2 and x are different terms

so, they are not like terms

so, we can not combine or simplify it

so, this is in simplest form

this is FALSE

option-D:

we have

$5x^3-x$

we can see that 5x^3 and x are different terms

so, they are not like terms

so, we can not combine or simplify it

so, this is in simplest form

this is FALSE

7 0

3 years ago

Pumping stations deliver oil at the rate modeled by the function D, given by d of t equals the quotient of 5 times t and the qua

goblinko [34]

<h2>Hello!</h2>

The answer is: There is a total of 5.797 gallons pumped during the given period.

To solve this equation, we need to integrate the function at the given period (from t=0 to t=4)

The given function is:

$D(t)=\frac{5t}{1+3t}$

So, the integral will be:

$\int\limits^4_0 {\frac{5t}{1+3t}} \ dx$

So, integrating we have:

$\int\limits^4_0 {\frac{5t}{1+3t}} \ dt=5\int\limits^4_0 {\frac{t}{1+3t}} \ dx$

Performing a change of variable, we have:

$1+t=u\\du=1+3t=3dt\\x=\frac{u-1}{3}$

Then, substituting, we have:

$\frac{5}{3}*\frac{1}{3}\int\limits^4_0 {\frac{u-1}{u}} \ du=\frac{5}{9} \int\limits^4_0 {\frac{u-1}{u}} \ du\\\\\frac{5}{9} \int\limits^4_0 {\frac{u-1}{u}} \ du=\frac{5}{9} \int\limits^4_0 {\frac{u}{u} -\frac{1}{u } \ du$

$\frac{5}{9} \int\limits^4_0 {(\frac{u}{u} -\frac{1}{u } )\ du=\frac{5}{9} \int\limits^4_0 {(1 -\frac{1}{u } )$

$\frac{5}{9} \int\limits^4_0 {(1 -\frac{1}{u })\ du=\frac{5}{9} \int\limits^4_0 {(1 )\ du- \frac{5}{9} \int\limits^4_0 {(\frac{1}{u })\ du$

$\frac{5}{9} \int\limits^4_0 {(1 )\ du- \frac{5}{9} \int\limits^4_0 {(\frac{1}{u })\ du=\frac{5}{9} (u-lnu)/[0,4]$

Reverting the change of variable, we have:

$\frac{5}{9} (u-lnu)/[0,4]=\frac{5}{9}((1+3t)-ln(1+3t))/[0,4]$

Then, evaluating we have:

$\frac{5}{9}((1+3t)-ln(1+3t))[0,4]=(\frac{5}{9}((1+3(4)-ln(1+3(4)))-(\frac{5}{9}((1+3(0)-ln(1+3(0)))=\frac{5}{9}(10.435)-\frac{5}{9}(1)=5.797$

So, there is a total of 5.797 gallons pumped during the given period.

Have a nice day!

4 0

3 years ago

What is the approximate radius of a sphere with a volume of 113 cm3?O A. 3 cm O B. 4 cm O c. 2 cm O D. 5 cm

Vitek1552 [10]

Considering it's volume of 113 cm³, the approximate radius of the sphere is given by:

A. 3 cm

<h3>What is the volume of an sphere?</h3>

The volume of an sphere of radius r is given by:

$V = \frac{4\pi r^3}{3}$

In this problem, we have that V = 113 cm³, hence the radius in cm is given as follows:

$V = \frac{4\pi r^3}{3}$

$113 = \frac{4\pi r^3}{3}$

$r^3 = \frac{113 \times 3}{4\pi}$

$r = \sqrt[3]{\frac{113 \times 3}{4\pi}}$

r = 3 cm.

Hence option A is correct.

More can be learned about the volume of an sphere at brainly.com/question/25608353

#SPJ1

8 0

2 years ago

In an election for school president, the loser received 70% of the winner's votes. If 969 votes were cast, how many did each rec

wlad13 [49]

Answer:

The ans would be 291 (however we can round this off to 290 as no can partially vote as 0.1)

Step-by-step explanation:

We can easily find the loser's vote by-

70% of 969= 678.9

now, all we need to do is find the winners vote

we know that the total no. of votes= 969 & we know the no. of votes loser got

so, subtracting the losers vote from 969 would give us the remaining no. of votes (the winner's votes)....so,

969-678.9=290.1

we can round this off to 290

7 0

3 years ago

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. 2 – 11x2 – 8x + 6x 2

mixas84 [53]

-5x^2-8x+2 its a trinomial and its degree is 2

4 0

3 years ago