Which expression is equvialent to this expression 3/4 (4h -6 )

The half-life of a drug in the blood is 2 hours. Assume that a person starts with 0.6 mg of the drug in their system. Fill in th

sleet_krkn [62]

If the half-life of the drug is 2 hours, then in 2 hours 0.6 mg of the drug becomes 0.3 mg. In two more hours (4 hours total) it is 0.15 mg, 2 more hours (6 hours) .075 mg. In two more hours (8 hours) it is .0375 mg, rounded to 0.04. The answer is 8 hours.

3 0

3 years ago

Kiara has a ribbon that measures 1/4 of an inch and Jillian has a ribbon that measures 2/3 of an inch. Jillian says their ribbon

fenix001 [56]

Answer:

Jillian is Incorrect as fraction can never be balanced based on numerator or denominator.

Step-by-step explanation:

Given:

Measure of ribbon Kiara has = $\frac{1}{4} \ inch$

Measure of ribbon Jillian has = $\frac{2}{3} \ inch$

Now given:

Jillian says their ribbons are equal in length because her numerator is one more than kiara's and her denominator is one less, therefore balancing the two fractions.

we need to find whether statement is correct or not.

First we will find the decimal value of the given fraction's

$\frac{1}{4} \ inch$ can rewritten as $0.25\ inch$

Measure of ribbon Kiara has = 0.25 inch

$\frac{2}{3} \ inch$ can be Rewritten as $0.67\ inch$

Measure of ribbon Jillian has = 0.67 inch

Now we can see that;

0.67 inch is greater than 0.25 inch.

Hence we can say that ribbons are not in equal length.

Also the fraction can never be balanced by decreasing or increasing the numerator or denominator.

7 0

4 years ago

What is the range of ƒ(x) = |x|? (–∞, 0) (–∞, ∞) (0, ∞) [0, ∞)

larisa86 [58]

The range of the function f(x) = |x| is [0,∞)

<h3>How to determine the range?</h3>

The function is given as:

f(x) = |x|

The above is the parent equation of an absolute value function.

The above function cannot output any negative value.

This means that:

ƒ(x) >= 0

As an interval notation, we have:

[0,∞)

Hence, the range of the function f(x) = |x| is [0,∞)

Read more about range at:

brainly.com/question/10197594

#SPJ1

6 0

2 years ago

A truck's varying distance from the warehouse, d , measured in miles is modeled by the formula d=t2+50t where t is the varying n

Dafna1 [17]

Answer:

7.596 hours
57.596 mph

Step-by-step explanation:

a) The distance is given as ...

d = t^2 +50t

We want to find the value of t for which this distance is 437.5 miles. That means we want to solve the equation ...

437.7 = t^2 +50t

We can complete the square by adding the square of half the t coefficient, (50/2)^2 = 625

437.5 +625 = t^2 +50t +625

1062.5 = (t +25)^2

√1062.5 -25 = t ≈ 7.596 . . . . hours

It will take the truck about 7.596 hours to reach its destination.

__

b) Average speed is total distance divided by total time. Here, we can find the average speed as ...

d/t = (t^2 +50t)/t = t +50

That is, the average speed over the 437.5-mile trip is ...

7.596 +50 = 57.596 . . . . miles per hour

The car must maintain a constant speed of 57.596 mph to reach the destination at the same time.

_____

When solving equations using a graphing calculator, I like to put them into a form such that the solution is the x-intercept. Here, that means the equation we're solving is ...

x^2 +50x -437.5 = 0 . . . . x is hours to destination