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bearhunter [10]
3 years ago
6

The volume v of a sphere with radius r is given by formula v=4/3 . if radius of a spherical rubber ball is 1 1\4 inches , what i

s its volume to the nearest cubic inch
Mathematics
1 answer:
Aliun [14]3 years ago
6 0
Actually, the correct volume formula is:
Sphere Volume   = <span>  4/3 • <span>π <span>• r³
</span></span></span>Sphere Volume   = <span>  (4/3) * PI * (1.25)^3
</span>Sphere Volume   =   (4/3) * PI * <span> <span> <span> 1.953125 </span> </span> </span>
Sphere Volume   =   <span> <span> <span> 8.1812308687 </span> </span> </span> cubic inches
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Identify the graph of x^2-8y=0 for theta=90º and write and equation of the translated or rotated graph in general form.
vredina [299]

Answer:

The answer is parabola; (y')² - 8x' = 0 ⇒ answer (b)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

* x² - 8y = 0

∵ A = 1 , B = 0 , C =

∴ B² - 4AC = (0)² - 4(1)(0) = 0

∵ B² - 4AC = 0

∴ it will be a parabola.

∵ Ф = 90°

* The point (x , Y) will be (x' , y')

∵ x = x'cosФ - y'sinФ and y = x'sinФ + y'cosФ

∵ cos(90) = 0 and sin(90) = 1

∴ x = -y' and y = x'

* lets substitute x and y in the first equation

∴ (-y')² - 8(x') = 0

∴ (y')² - 8x' = 0

* We notice that the x' took the place of y and y' took the place of x

∴ The parabola rotated around the origin by 90°

∴ The equation of the parabola is (y')² - 8x' = 0

* The answer is parabola, with angle of rotation 90°

* The equation is (y')² - 8x' = 0

* Look to the graph

- The blue is x² - 8y = 0

- The green is (y')² - 8x' = 0

7 0
3 years ago
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Suppose you receive an allowance of $107 and your friend receives an allowance of $83 at the beginning of the month. If you spen
shusha [124]
6 days
Y= 107-8x
Y=83-4x
You can use substitution
83-4X= 107-8x
Bring 8X
Over to the left
83+ 4x=107

Subtract 83
4x= 24
X=6
Or put in calculator and go 2nd graph you see table and on 6 day they both have $59
3 0
3 years ago
A tennis ball machine can launch 60 tennis balls in 12 minutes. At this rate,how many tennis balls can it launch in 2 hours?
Lapatulllka [165]
12*5=60
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7 0
3 years ago
A manufacturer claims that its cleaning product is best because over half of the cleaning services surveyed used the product. Wh
balu736 [363]

Answer:

D. Only one cleaning product was asked about in the survey.

Any given company can use more than one cleaning product or even use a combination of different cleaning products. The question was not specific enough, since it should have probably asked which cleaning products are used and which ones are used more frequently.

Step-by-step explanation:

the other options are wrong because:

  • A. Only 50 cleaning services were surveyed. ⇒ This actually would increase the validity of the claim because it satisfies the the condition for a valid confidence interval [np and n(1 - p) are larger than 10]-
  • B. Cleaning services were selected at random. ⇒ This actually would increase the validity of the claim.
  • C. A well-known company conducted the survey. ⇒ This actually would increase the validity of the claim.

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3 years ago
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