20 PTS! Is the answer h=2.7?

A car passes a landmark on a highway traveling at a constant rate of 55 kilometers per hour. One hour later, a second car passes

marysya [2.9K]

It will take 6.875h for the second car to overtake the first...

5 0

3 years ago

Only 23 out of 50 people in the class passed the exam. What percent of the class passed the exam?

Black_prince [1.1K]

Answer:

46%

Step-by-step explanation:

For percents, we want to make the number out of 100. 23/50 is the same as 46/100. From fraction knowledge, 46/100 is 46%.

5 0

3 years ago

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The Cinemania theater showed 108 different movies last year. Of those, 15 movies were action movies. Based on this data, what is

natita [175]

Answer:

A reasonable estimate of the probability is equal to $0.1389$ or $13.89\%$

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

so

Let

x------> size of the event space

y-----> size of the sample space

so

$P=\frac{x}{y}$

In this problem we have

$x=15$

$y=108$

substitute

$P=\frac{15}{108}=0.1389$

Convert to percentage

$0.1389*100=13.89\%$

3 0

3 years ago

The height of one right circular cylinder is 6 centimeters and its radius is 3 centimeters. The height of a second right circula

melomori [17]

Answer:

<h3>The volume of the second cylinder is three times as large as the volume of the first cylinder .</h3><h3>Hence $V_2=3\times V_1$ </h3>

Step-by-step explanation:

Given that the height of one right circular cylinder is 6 centimeters and its radius is 3 centimeters.

Let $h_1,r_1$ be the height and radius of the first right circular cylinder respectively.

∴ $h_1=6 cm$ and $r_1=3 cm$

The height of a second right circular cylinder is 18 centimeters and its radius is 3 centimeters.

Let $h_2,r_2$ be the height and radius of the second right circular cylinder respectively.

∴ $h_1=18 cm$ and $r_1=3 cm$

<h3>To find the volume of the second cylinder is how many times as large as the volume of the first cylinder :</h3>

The formula for Volume of right circular cylinder is

$V=\pi r^2h$ units

The Volume of first right circular cylinder is

$V_1=\pi r_1^2h_1$

Substitute the values in the formula we get

$V_1=\pi (3^2)(6)$

$V_1=\pi (9)(6)$

$=54\pi$ units

∴ $V_1=54\pi$ units

The Volume of second right circular cylinder is

$V_2=\pi r_2^2h_2$

Substitute the values in the formula we get

$V_2=\pi (3^2)(18)$

$V_2=\pi (9)(18)$

$=162\pi$ units

∴ $V_2=162\pi$ units

From the volumes $V_1 and V_2$ we get

$\frac{V_2}{V_1}=\frac{162\pi}{54\pi}$

$=3$

$\frac{V_2}{V_1}=3$

∴ $V_2=3\times V_1$

<h3>The volume of the second cylinder is three times as large as the volume of the first cylinder .</h3>

8 0

3 years ago

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Suppose f(x) is a function such that if p < q, f(p) < f(q). Which statement best describes f(x)?

quester [9]

Answer:

option B is correct.

Step-by-step explanation:

we are given that for any p<q

f(p)<f(q)

this clearly implies that f is an increasing function.

Now we know that if f is an increasing function then -f is always an decreasing function and vice-versa.

so here -f(x) will be an decreasing function.

Let us consider a example f(x)=x then f(x) is clearly an increasing function.

and -f(x)= -x is an decreasing function. also it is an odd function but not an even function.

so option B holds.

4 0

4 years ago

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