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A _____ is a rule that assigns each value of the independent variable to exactly one value of the dependent variable.
The depth of the submarine is 50 ft below sea level when it starts to descend at a rate of 10.5 ft/s. It dives at that rate for 5 s. What are the constraints on the x- and y-values?
- 5x = -x - 48x = -11X = 12
teacher asked her students write down the number of hours studied rounded to the nearest half hour. she complies the results in develops the probability distribution below for randomly selected student. what is the mean of the probability distribution
Please help im desperate if f(x) = 5 + 3x find the value of the dependent variable if the if he independent variable is -4 and if you know hoew to do this pls answer my other question

What is the answer to 2c-5=c+4

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2c-9=c
-9=-c
9=c
Hope that helps!

Answer:

c=9

Step-by-step explanation:

first we need to balance the equation out we can do this by getting rid ofa c on both sides.

c-5=4

then we need to get rid of the 5. we do this by adding it.

c=9

The distribution of GPAs is normally distributed with a mean of 2.7 pounds and a standard deviation of 0.3. Approximately what percentage of students has GPAs above 3.0?

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The best answer to this statistic question would be 15.7% or, if rounded off, 16%. This is because those students who have GPAs are approximately at least 1 standard deviation away from the mean and more - which means that 84% of the GPAs are less then 3 pounds. I subtracted 84 from 99.7 (which is the whole distribution's percentage) and came up with 15.7.

Timers at a swim meet used four different clocks to time an event. Which recorded time is the least precise?a. 48.9107 s
b. 48.91 s
c. 48.910 s
d. 48.9 s

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Answer:

The time recorded as 48.9 s (option: d) is least precised as compared to other times.

Step-by-step explanation:

" Precision refers to the closeness of two or more measurements to each other" .

Since, in options a,b and c the time represented is quite close as they are precised to two or more decimal places.

but in option 'd' the time is precised to just one decimal place.

Hence, the time recorded as 48.9 s is least precised.

Hence, option D is the correct answer.


d. It's precise to only one decimal place

An angle of an isosceles triangke is 28 degrees. What are the other 2 angles( choose all that apply)

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Hey there!!

Remember :- In an isosceles triangle, two angles and two sides are equal. And the total sum of all the angles in a triangle is 180 degrees.

One angle of the isosceles triangle is 28°

Let's take the other two angles as ' x '

As the total sum = 180°, let's get this into equation

28 + x + x = 180

28 + 2x = 180

2x = 180 -28

2x = 152

x = 76°

Hence, the angles in the triangle are as follows:

28° , 76° and 76°

Hope my answer helps!

A certain bacteria population is known to quadruples every 150 minutes. Suppose that there are initially 200 bacteria. What is the size of the population after t hours?

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This is a geometric progression
The size of the population afeter t hours will be=a₁*r^n

a₁= the first term =200
r=common ratio=4

150 minutes=150 minutes * (1 hour /60 minutes)=2.5 hours.

In this case:
the size of the populatation after t hours=200*4^t/2.5=200*4^0.4t

To check
 t=0⇒ the size will be=200*4⁰=200*1=200
t=2.5 hours=150 minutes; the size will be =200*4¹=800
t=5 hours; the size will be=200*4²=200*16=3200

Answer: the size will be= 200*4^(0.4t)

Final answer:

The growth of the bacteria is represented by the exponential growth equation. Given the initial population, the four-fold increase, and the time interval for the increase, we can find the population after any given time by using the equation P = 200 * 4^(t/2.5).

Explanation:

The problem given is an example of an exponential growth problem. For these types of problems, we use the formula P = P0 * e^(kt), where P is the final population, P0 is the initial population, k is the growth rate, and t is time. However, in this case, we were given that the bacteria quadruples, meaning 'quadrupling' is not a continuous rate, so we use a slightly different form of the equation: P = P0 * (b)^(t/t0), where b is the times increase and t0 is the time interval for the b-fold increase.

Given that the initial population P0 is 200 bacteria, b is 4 because the population quadruples every 150 minutes, and time t0 is 150 minutes or 2.5 hours. We need to find the population P after t hours. Substituting these values into our equation gives us: P = 200 * 4^(t/2.5).

So, after t hours, the population of the bacteria will be given by the equation P = 200 * 4^(t/2.5).

Learn more about Exponential Growth here:

brainly.com/question/12490064

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To solve a three-variable system of equations, you can use a combination of the elimination and substitution mehtods.True or False ...?

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It is true that in order to solve a three-variable system of equations, you can use a combination of the elimination and substitution methods.
This is the best way to solve these kinds of equations, as you get rid of the unnecessary variables.