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3 years ago

I need big help with this last question. I will be so thankful! I appreciate it, have a great day!

Mathematics

1 answer:

Tju [1.3M]3 years ago

7 0

Answer:

The radius of the sphere is 3

Step-by-step explanation:

r = (3(36) (π) / (4) (π)) ^ ⅓

Cancel out 4π in both numerator and denominator

r = 3 × (36π/4π) ^ ⅓

Simplify

r = (3 × 9) ^ ⅓

Multiply 3 and 9 to get 27

r = 27 ^ ⅓

Calculate 27 to the power of 1/3 and get 3

r = 3

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3/4 x 4/9 gggmggmgmmgmgmggmgmggg

Bogdan [553]

Answer:

(3/4)*(4/9)

=3/9

=1/3 or 0.33

3 0

3 years ago

Evaluate the expression when a=14 and b=6<br><br><br><br> −8ab= ?

Allisa [31]

Answer:

$- 8ab \\ \\ - 8 \times 14 \times 6 \\ \\ = - 672$

4 0

3 years ago

Read 2 more answers

A merry-go- round spins at a rate of 3 miles in 5 minutes.

Sidana [21]

36 miles an hour
3miles/5min to x/60min multiply top and bottom by 12 and you get 36miles/60min

4 0

3 years ago

College LEVEL can you help me? :S

Yanka [14]

Although the formula looks involved, the key here is looking to see where the information goes.

We are given all the pieces but need to convert mph to ft/s to use the formula. Let's do it with 1 mph so that we have a ratio to use. We and solve a unit conversion problem.

$\frac{1mile}{hour} * \frac{hour}{60 minutes} * \frac{minute}{60 seconds} * \frac{5280 feet}{mile} = \frac{5280}{60*60} = \frac{5280}{3600} = 1.46666$

That ratio tells us that 1 mph is 1.466666 ft/s. Now we solve two proportions.

1 mph / 1.466666 feet per second = 60 mph / x feet per second.

1x = (60)(1.466666)

So x = 88 feet per second.

Next, We repeat for 24 mph.

1 mph / 1.46666 feet per second = 24 mph / x feet per second.

1x = (1.4666666)(24)

x = 35.2 feet per second

Now we have the found appropriate V₁ and V₂. V₁ > V₂, so V₁ is 88 ft/s and V₂ is 35.2 ft/s. The problem tells us θ = 2.3 degrees, K₁ = .4 and K₂ = .06. The rest of the problem is calculator work. Start by substituting our degree measure of 2.3 degrees and the given values in the problem for V₁, V₂, K₁, and K₂

$D = \frac{1.05[(88)^{2}-(35.2)^{2}]}{64.4(.4+.06 + (sin 2.3))}$

$D = \frac{1.05[(7744-1239.04]}{64.4(.46 + (sin 2.3))}$

$D = \frac{1.05(6504.96)}{64.4(.46 + 0.04013)}$

$D = \frac{6830.208}{64.4(0.50013)}$

D = 6830.208 / 32.208372

D = 212.0631 = 212 (to the nearest foot)

Thus the car needs 212 feet to stop.

6 0

3 years ago

Need help with the third table at the top of the page, not sure what kind of function it represents.

matrenka [14]

Table 1: Linear function. For each time x increments by 1, y increments by 2. y=2x.

Table 2: Exponential function. Each time x increments by 1, y divides itself by 4.
y= 0.25^x

Table 3: Quadratic function. Notice how the y values seem to increase by less and less before coming back down in an opposite fashion. This is characteristic of a parabola.

4 0

4 years ago

I need big help with this last question. I will be so thankful! I appreciate it, have a great day!​

I need big help with this last question. I will be so thankful! I appreciate it, have a great day!