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2 years ago

7

A bus travel 210 miles in three. Five hours assumed the distance travel is directly proportional to the time traveled right and

solve direct variation equation to find how far the bus will travel in six hours

1 answer:

yarga [219]2 years ago

7 0

God loves all of you, remember that oK. Thts really all u need in life <333 and 210m is

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The manager of a store increases the price of a popular product by 5%. Let y be the original price of the product. The new price

Sphinxa [80]

Answer:

you will multiply the new price plus the original price

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2 years ago

Which properties are present in a table that represents an exponential function in the form y-b* when b > 1?

erastovalidia [21]

Answer:

<u>Properties that are present are </u>

Property I

Property IV

Step-by-step explanation:

The function given is $y=b^x$ where b > 1

Let's take a function, for example, $y=2^x$

Let's check the conditions:

I. As the x-values increase, the y-values increase.

Let's put some values:

y = 2 ^ 1

y = 2

and

y = 2 ^ 2

y = 4

So this is TRUE.

II. The point (1,0) exists in the table.

Let's put 1 into x and see if it gives us 0

y = 2 ^ 1

y = 2

So this is FALSE.

III. As the x-value increase, the y-value decrease.

We have already seen that as x increase, y also increase in part I.

So this is FALSE.

IV. as the x value decrease the y values decrease approaching a singular value.

THe exponential function of this form NEVER goes to 0 and is NEVER negative. So as x decreases, y also decrease and approached a value (that is 0) but never becomes 0.

This is TRUE.

Option I and Option IV are true.

3 0

2 years ago

Read 2 more answers

The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated

statuscvo [17]

We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.

We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.

So we can define the proportion of coffee that Jeremiah has in his body as:

P(t) = 1*e^{k*t}

Such that:

P(4.8 h) = 0.5 = 1*e^{k*4.8}

Then, if we apply the natural logarithm we get:

Ln(0.5) = Ln(e^{k*4.8})

Ln(0.5) = k*4.8

Ln(0.5)/4.8 = k = -0.144

Then the equation is:

P(t) = 1*e^{-0.144*t}

Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:

P(t) = 0.6 = 1*e^{-0.144*t}

Again, we use the natural logarithm:

Ln(0.6) = Ln(e^{-0.144*t})

Ln(0.6) = -0.144*t

Ln(0.6)/-0.144 = t = 3.55

So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.

If you want to learn more, you can read:

brainly.com/question/19599469

7 0

2 years ago

in class you earned 10 participation points one day, -14 the next, and 6 the following day. how many points did you earn that we

Katena32 [7]

Answer:

2 points

Step-by-step explanation:

10-14=-4

-4+6=2 or

10+6=16

16-14=2

8 0

2 years ago

Is the fraction 1/3 equivalent to a terminating decimal or a decimal that does not terminate

umka21 [38]

<span>1/3 is equivalent to a decimal that does not terminate. A terminating decimal is one that ends. Some decimals never end, however. If you divide 1 by 3 using the standard algorithm, you will get 0.333333... repeating forever. This is a non-terminating decimal, or repeating decimal. In contrast, 1/4 is equal to 0.25, which is a terminal decimal.</span>

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2 years ago