Can someone help me with this equation

Approximately how many times as great is the volume of a grapefruit with a diameter 16 cm as the volume of a lime with a diamete

SIZIF [17.4K]

Answer: The volume of the grapefruit is approximately 8 times as great as the volume of the lime.

Step-by-step explanation:

You need to use the formula for calculate the volume of a sphere. This is:

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

Where "r" is the radius.

<u>Volume of the grapefruit</u>

You know that its diameter is 16 centimeters.

Since the radius is half the diameter, you get that its volume is:

$V_g=\frac{4}{3}\pi (\frac{16\ cm}{2}) ^3\\\\V_g= 2,144.66\ cm^3$

<u> Volume of the lime</u>

According to the information given in the exercise, the diameter of the lime is 8 centimeters.

As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:

$V_l=\frac{4}{3}\pi (\frac{8\ cm}{2}) ^3\\\\V_l= 268.08\ cm^3$

In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then:

$\frac{2,144.66\ cm^3}{268.08\ cm^3}\approx8\ times$

8 0

3 years ago

Henry flies from Washington, DC, to Boston, MA. The first flight from Washington, DC, to New York City is one hour 12 minutes. T

Sunny_sXe [5.5K]

1:12 + 2:41 + 1:10 = 4 hours 63 mins
5 Hours and 3 Mins

5 0

3 years ago

Bruce flipped a penny 5 times. It landed on heads 2 times and tails 3 times. If he flips the coin a 6th time, which of the follo

Brums [2.3K]

Answer:

C

Step-by-step explanation:

because if the pattern were 2 on heads and three on tails the next flip would be heads

5 0

3 years ago

Find dyldx.<br> 3. y=2x sin(3x)

vredina [299]

Answer:

$\large\boxed{\dfrac{dy}{dx}=2\sin(3x)+6\cos(3x)}$

Step-by-step explanation:

$\dfrac{dy}{dx}=(2x\sin(3x))'\\\\\text{use}\ \bigg(g(x)\cdot f(x)\bigg)'=g'(c)f(x)+g(x)f'(x)\\\\\text{and}\ \bigg(f(g(x))\bigg)'=f'(g(x))\cdot g'(x)\\\\\dfrac{dy}{dx}=(2x)'(\sin(3x))+(2x)(\sin(3x))'\\\\\dfrac{dy}{dx}=2\sin(3x)+(2x)(\cos(3x)\cdot(3x)')\\\\\dfrac{dy}{dx}=2\sin(3x)+2x\cos(3x)\cdot3\\\\\dfrac{dy}{dx}=2\sin(3x)+6\cos(3x)$

6 0

3 years ago

1.Anthony has decided to purchase a $19,000 car. He plans to put 20% down toward the purchase and to finance the rest at a 6.8%

Nikitich [7]

<h2>First step/Equation</h2>

Answer:

$362.57

Step-by-step explanation:

A suitable calculator or finance app can find the monthly payment for you. This result comes from a TI-84 calculator.

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The second attachment shows the parameters of the payment function. With 20% down, Anthony is only financing 80% of the price of his car. Of course, there are 12 months in a year, so 4 years worth of payments will be 48 payments. The calculator uses negative values for amounts you pay.

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No doubt your reference material shows you a formula for computing loan payments. One such is ...

A = Pr/(1 -(1+r)^-n)

where r is the monthly interest rate, 0.068/12, and n is the number of payments, 48. The principal amount of the loan, P, will be 19,000×0.80. This formula gives the same result as that shown above and below

3 0

2 years ago