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SVETLANKA909090 [29]
3 years ago
8

63 decreased by twice Vidya's score Use V to represent Vidya's score.

Mathematics
2 answers:
taurus [48]3 years ago
6 0
V = 126 if that's what you're looking for
Nesterboy [21]3 years ago
5 0
If it's an expression, then:
2V - 63
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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y =
miss Akunina [59]

Answer:

381.18 cubic units

Step-by-step explanation:

Graph the region:

desmos.com/calculator/iwvreqjz2m

The region is a trapezoid.  When we rotate it about x = 1, we get a hollow cylinder shape.  We can either use washer method or shell method to find the volume.

If we find the volume using washer method, we'll have to use two integrals, one for the triangular part of the trapezoid and one for rectangular part.  If we use shell method, we only need one integral.  So let's use shell method.

Cut a thin, vertical slice of the region.  The width of this slice is dx.  The height of the slice is y₂ − y₁ = x − 0 = x.  The radius of the shell is x − 1.

The volume of the shell is:

dV = 2π (x − 1) (x) dx

dV = 2π (x² − x) dx

The total volume is the sum of all the shells from x=5 to x=7.

V = ∫ dV

V = ∫₅⁷ 2π (x² − x) dx

V = 2π ∫₅⁷ (x² − x) dx

V = 2π (⅓ x³ − ½ x² + C) |₅⁷

V = 2π [(⅓ 7³ − ½ 7² + C) − (⅓ 5³ − ½ 5² + C)]

V = 2π [⅓ 7³ − ½ 7² − ⅓ 5³ + ½ 5²]

V = 2π [⅓ (7³ − 5³) + ½ (5² − 7²)]

V = 2π [⅓ (218) + ½ (-24)]

V = 2π (72⅔ − 12)

V = 121⅓ π

V ≈ 381.18

The volume is approximately 381.18 cubic units.

6 0
2 years ago
What is the ratio of the sides of triangle XYZ?<br> --&gt; can anyone solve this equation ?
lubasha [3.4K]

Answer:

1:2:√3

Step-by-step explanation:

since XYZ is a special right triangle

8 0
3 years ago
Sara bought a used car for $10,000. She learned from online that the value of a car depreciated 15% per year. What is the formul
Fudgin [204]

Answer:

Step-by-step explanation:

Value of Sam's car after t years =

==10000*(1-\frac{15}{100})^{t}\\\\=10000*(\frac{85}{100})^{t}\\\\=10000*(0.85)^{t}

Value of Sam's car in 5 years=

=10000*(0.85)^{5}\\\\=10000*0.4437\\\\

= $ 4437

4 0
3 years ago
What are three ways to get 256 using exponents
Nastasia [14]

recall from the previous posting, 2⁸ = 256, so that's one way to represent it.

now, another way hmmm


\bf 2^8\implies 2^{2\cdot 4}\implies (2^2)^4\implies (4)^4\implies 4^4&#10;\\\\\\&#10;\stackrel{\textit{yet another way}}{2^8\implies 2^{4\cdot 2}}\implies (2^4)^2\implies (16)^2\implies 16^2

5 0
3 years ago
Please help!! i don’t understand how to do this
Arisa [49]

Answer: A is the right angle

Step-by-step explanation:

a. 20^2 + 15^2 = 25^2

400 + 225 = 625

625 = 625

hope this helps :)

8 0
2 years ago
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