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3 years ago

PLEASE HELP!!!!!!!

Mathematics

1 answer:

lozanna [386]3 years ago

4 0

The correct answer is: <span>C) The base of the cone and the top of the cylinder have the same area. </span>The cone has the smallest volume of the 2 figures. This is because the formula for the cylinder is b x h, the formula for the cone is 1/3(b x h) so if they have same height and base area cylinder would have larger volume because, for the cylinder, a formula is one-third of b x h. Hope I helped!! : )

hope this helps you

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54. Find <img src="https://tex.z-dn.net/?f=y%5E%7B%5Cprime%7D" id="TexFormula1" title="y^{\prime}" alt="y^{\prime}" align="absmi

Stella [2.4K]

Step-by-step explanation:

Take the natural log of both sides:

$ln ({x}^{y} ) = ln ({y}^{x} )$

Logarithm rules allow you to bring down the exponents:

$yln(x) = xln(y)$

Now differentiate. We will have to implicitly differentiate 'y' since it is a function of 'x'. Both sides require the product rule:

$\frac{dy}{dx} ln(x) + \frac{y}{x} = ln(y) + \frac{x}{y} \frac{dy}{dx}$

Isolate the terms that have y' since that is what we want:

$\frac{dy}{dx} ln(x) - \frac{x}{y} \frac{dy}{dx}= ln(y) - \frac{y}{x}$

Factor out y' to get:

$\frac{dy}{dx}( ln(x) - \frac{x}{y})= ln(y) - \frac{y}{x}$

Therefore:

$\frac{dy}{dx} = \frac{ln(y) - \frac{y}{x} }{ln(x) - \frac{x}{y} }$

7 0

2 years ago

The fact that sin(150°) = .5 and sin(-150°) = -.5 implies that the sine function is which type of function?

Naddika [18.5K]

Answer: A) Odd

In general, sin(-x) = -sin(x) for all values of x, so it's an odd function. I don't mean it's a strange function. I mean "odd" in the sense that it's not even (eg: the number 7 is an odd number).

4 0

3 years ago

Lee watches TV for 4 hours per day. During that time, the TV consumes 150 watts per hour. Electricity costs (10 cents)/(1 kilowa

Kipish [7]

Step-by-step explanation:

1 kilowatt=1000 watt

tv watch time=4*30=120

the watt tv consume=120*150=18000

the kilowatt tv consume=18000/1000=18

electricity cost =10*18

180 cents

5 0

2 years ago

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is

blagie [28]

Answer:

Step 1: True

1. Approximately 2000 families are in the sample.

2. False.

3. 31.2 hours.

4. False.

Step-by-step explanation:

The 55th percentile is greater than or equal to 30 hours.

The median is of 31.2 hours, which means that the 50th percentile is of 31.2 hours. The 55th percentile is above the 50th percentile, and thus, the 55th percentile is greater than 31.2 hours, and thus, also greater than 30 hours, and the statement is true.

1: Approximately how many families are in the sample?

Twenty-four of the families in the sample turned on the television for 20 hours or less for the week. The 12th percentile of the data is 20 hours, and thus 24 is 12% of the sample size n. So

$0.12n = 24$

$n = \frac{24}{0.12}$

$n = 2000$

Approximately 2000 families are in the sample.

2: Based on the given information, determine if the following statement is true or false. Approximately 200 families turned on their televisions for less than 35 hours.

The median, that is, the 50th percentile, is of 31.2 hours.

Thus, 35 hours is above the 50th percentile, which means that more than 1000 families(considerably more than 200) will have turned on their TVs for less than 35 hours, and this statement is false.

3: What is the value of the 50th percentile?

The median, which is of 31.2 hours.

4: Based on the given information, determine if the following statement is true or false.The first quartile is greater than or equal to 20 hours.

20 hours is the 12th percentile, which means that the first percentile is less than 20 hours, and this statement is false.

5 0

3 years ago

40 POINTS!!!!! PLEASE HELP!!

Elan Coil [88]

Answer: C

Step-by-step explanation:

4 0

3 years ago

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