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Novay_Z [31]
3 years ago
11

A bottle holds 24 ounces of water. It has x ounces of water in it. What does 24 - x represent in the situation?

Mathematics
2 answers:
Misha Larkins [42]3 years ago
4 0
It represents the ounces of water that the bottle can still hold.
fredd [130]3 years ago
4 0
I represents the amount of water the bottle could hold, but does not currently have in it. (Aka the amount of space in the bottle, in terms of oz or water)

I hope this helps!
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The perimeter of the rectangle below is 90 units. find the length of side vy . write your answer without variables.
Salsk061 [2.6K]
The picture in the attached figure

we know that
perimeter of a rectangle=2*[base+height]
base=3y+1
height=2y+3
perimeter=90 units
so
90=2*[(3y+1)+(2y+3)]-----> 90=2*[5y+4]----> 10y+8=90----> y=8.2 units

base=3y+1-----> base=3*8.2+1-----> 25.6 units
height=2y+3----> height= 2*8.2+3---> 19.4 units 

the answer is
<span>the length of side vy is (2y+3)-----> 19.4 units</span>

3 0
3 years ago
Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab
Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx

If f(x)=x^2, then

f'(x)=2x

and

b=0\\ \\a=2

Therefore,

SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx

Apply substitution

x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du

Then

SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du

Now

\int\limits^{\arctan(4)}_0 \sec^3udu=2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17})\\ \\ \int\limits^{\arctan(4)}_0 \sec^5udu=\dfrac{1}{8}(-(2\sqrt{17}+\dfrac{1}{2}\ln(4+\sqrt{17})))+17\sqrt{17}+\dfrac{3}{4}(2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17}))

Hence,

SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}

3 0
3 years ago
Please help!! I don't get this.
Lynna [10]
The answer to question 5 is -3.
The answer to question 9 is -5.<span>
</span>The answer to question 7 is 28x^3y^4.
3 0
3 years ago
Find the work done by gas?
salantis [7]

The work done by the gas when the gas expands will be 567.65 ft-lb.

<h3>What is the work done for an isothermal process?</h3>

The Pressure is inversely proportional to the volume.

Let the initial pressure and initial volume be P₁ and V₁, and the final volume be V₂.

Then the work done by the gas will be

WD = P₁ V₁ ln (V₂ / V₁)

A quantity of the gas with an initial volume of 2 cubic feet and an initial pressure of 700 pounds per square foot.

The gas expands to a volume of 3 cubic feet.

Then the work done by the gas will be

WD = 700 x 2 x ln (3/2)

WD = 1400 x 0.405

WD = 567.65 ft-lb

The work done by the gas when the gas expands will be 567.65 ft-lb.

More about the work done for isothermal process link is given below.

brainly.com/question/4218306

#SPJ1

7 0
2 years ago
Which expression is represented by the phrase “the square of y decreased by quotient of 36 and 6”?
Serga [27]

Answer:

√y-6

Step-by-step explanation:

36/6=6

36 is the dividend, 6 is the divisor and 6 is the quotient.

3 0
3 years ago
Read 2 more answers
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