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maksim [4K]
3 years ago
10

The value of the function y= (3/5)t decrease by what percentage of t increases by 1 unit

Mathematics
1 answer:
kirza4 [7]3 years ago
7 0

Answer:

Percent of decrease in the value is 40%.

Step-by-step explanation:

Let's find the value of y when t=1 and t=2 because need to find the decrease by percent of t increases by 1 unit.

When t=1

y=\frac{3}{5}^{1}=0.6

When t=2

y=\frac{3}{5} ^{2} =0.36

Percent of decrease = 100 % -\frac{0.36}{0.6}*100%% = 100% -60% =40%

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There are a total of 62 students in the robotics club and the science club. The science club has 8 fewer students than the robot
Lesechka [4]
To find this answer you simply subtract eight from sixty-two, which gives you....
54! 
 
So there are 54 student in the science club!

Hope this helps! :)
6 0
3 years ago
There are 25 servings in a 12.5 ounce bottle of olive oil. How many ounces are in a serving?
Pani-rosa [81]
If you divide 12.5 by 25 you should get 0.5

correct answer should be 0.5
4 0
3 years ago
Which describes the transformations of y = f(x) that would result in the graph of y = f(-x) – 7.
coldgirl [10]

Answer:

a reflection in the y-axis followed by a translation down by 7 units

Step-by-step explanation:

just answered it

3 0
2 years ago
At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t
grandymaker [24]

Answer:

(a1) The probability that temperature increase will be less than 20°C is 0.667.

(a2) The probability that temperature increase will be between 20°C and 22°C is 0.133.

(b) The probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c) The expected value of the temperature increase is 17.5°C.

Step-by-step explanation:

Let <em>X</em> = temperature increase.

The random variable <em>X</em> follows a continuous Uniform distribution, distributed over the range [10°C, 25°C].

The probability density function of <em>X</em> is:

f(X)=\left \{ {{\frac{1}{25-10}=\frac{1}{15};\ x\in [10, 25]} \atop {0;\ otherwise}} \right.

(a1)

Compute the probability that temperature increase will be less than 20°C as follows:

P(X

Thus, the probability that temperature increase will be less than 20°C is 0.667.

(a2)

Compute the probability that temperature increase will be between 20°C and 22°C as follows:

P(20

Thus, the probability that temperature increase will be between 20°C and 22°C is 0.133.

(b)

Compute the probability that at any point of time the temperature increase is potentially dangerous as follows:

P(X>18)=\int\limits^{25}_{18}{\frac{1}{15}}\, dx\\=\frac{1}{15}\int\limits^{25}_{18}{dx}\,\\=\frac{1}{15}[x]^{25}_{18}=\frac{1}{15}[25-18]=\frac{7}{15}\\=0.467

Thus, the probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c)

Compute the expected value of the uniform random variable <em>X</em> as follows:

E(X)=\frac{1}{2}[10+25]=\frac{35}{2}=17.5

Thus, the expected value of the temperature increase is 17.5°C.

7 0
3 years ago
Find the approximate side length of a square game board with an area of 105in2.
alukav5142 [94]

Answer:

Approximately 10.2 inches

Step-by-step explanation:

The area of a square is given by the formula:

A=s^2

Where A is the area and s is the side length.

Since we already know that the area A is 105, substitute:

105=s^2

Now, take the square root of both sides:

s=\sqrt{105}

Use a calculator:

s\approx10.2470

So, the side length is approximately 10.2 inches.

8 0
3 years ago
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