Solve the problem. The function D(h) = 5e^-0.4h can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams (to two decimals) will be present after 9 hours? a. 182.99 mg b. 0.14 mg c. 1.22 mg d. 3.35 mg

Answer:

Hey!

your answer is

7:15:9

Step-by-step explanation:

you can divide all of your original numbers by 8.

to double check, times the answer by 8

hope this helps

pls put brainliest

Christine's grades for last semester were A, B, C, and C. An A is worth 4 points, a B is worth 3 points, a C is worth 2 points, and a D is worth 1 point. Her total grade points were 40 and her total credit hours were 14, resulting in a GPA of 2.86 if all courses were weighted the same.

Based on the information provided, the appropriate values in the Grade Value column for each grade are:

A: 4

B: 3

C: 2

D: 1

To calculate Christine's GPA if all courses were weighted the same, we need to first calculate her total grade points and divide by the total credit hours. The grade points for each course are calculated by multiplying the grade value by the credit hours. The table can be completed as follows

To calculate the GPA, we divide the total grade points (40) by the total credit hours (14):

GPA = 40/14 = 2.86

Therefore, if all courses were weighted the same, Christine's GPA would be 2.86.

To know more about GPA:

https://brainly.com/question/15170636

#SPJ4

--The given question is incomplete, the complete question is given

" Name The goal of the first few questions will be to compute a grade point average, which is a good example of weighted grading Courses with more credit hours contribute more to the GPA than those with less Below are the grades that our friend Christine earned last semester. You'll he filling in the rest of the table as you work through Questions 14 Grade Grade Value Grade Points Course English Math Credit Hours 3.0 4.0 History Science 5.0 Totals: 1. In most GPA systems, an A is worth 4 points, a B is worth 3 points, a C2 points, and a D l point. Fill in the appropriate values in the Grade Value column. 4. What would her GPA have been if all courses were weighted the same? How did you decide"--

Answer:

The same sign

Step-by-step explanation:

Answer:

The Answer is 164

Step-by-step explanation:

Cut the shape into three rectangles, find the area of each and then add all together

Answer:

Step-by-step explanation:

You need the Pythagorean Theorem to solve this question. There is no be part.

Equation

c^2 = a^2 + b^2

Givens

a = 32

b = 21

c = ?

Solution

c^2 = a^2 + b^2              Substitute the values

c^2 = 32^2 + 21^2          Expand

c^2 = 1024 + 441            Combine

c^2 = 1465                     Take the square root of both sides

√c^2 = √1465  

c = 38.275

Answer: 38.3 rounded

a. The system of inequalities that models the situation is:

The equation for the cost is: C(x,y) = 0.2x + 0.4y.

b. The graph is given by the image at the end of the answer, and the vertices are (4,4), (10,4) and (10,7).

c. The number of clay beads and glass beads in a necklace that costs the least to make is: 4 clay beads and 4 glass beads.

The variables for the system are presented as follows:

Each necklace has no more than 10 clay beads and at least 4 glass beads, hence the constraints are listed as follows:

The numbers of each beads are countable amounts, meaning that they cannot assume negative values.

Four times the number of glass beads is less than or equal to 8 more than twice the number of clay beads, hence the final constraint is of:

4y ≤ 8 + 2x.

Each clay bead costs $0.20 and each glass bead costs $0.40, hence the cost function is given as follows:

C(x,y) = 0.2x + 0.4y.

Using the three constraints, the graph is given by the image at the end of the answer, and the vertices are as follows:

The minimum cost is at the vertex with the smallest numeric value of the cost function, hence the numeric values are listed as follows:

More can be learned about a system of inequalities at https://brainly.com/question/9195260

#SPJ1

The solution to the given differential equation is: x⁷ cos y = y + C

where C is the constant of integration

To solve the given differential equation:

\(\[7x^6\cos y dx - dy = 0\]\)

We can separate the variables and integrate both sides.

Separating variables, we can write the equation as:

\(\[7x^6\cos y dx = dy\]\)

Now, we can integrate both sides with respect to their respective variables:

\(\[\int 7x^6\cos y dx = \int dy\]\)

Integrating the left side:

\(\[\int 7x^6\cos y dx = 7 \int x^6 \cos y dx\]\)

To integrate \(\(x^6 \cos y\)\)with respect to x, we can use integration by parts.

Let's take u = x⁶ and \(\(dv = \cos y dx\)\).

Differentiating u with respect to \(\(x\) gives \(du = 6x^5 dx\).\)

Integrating dv with respect to x gives \(\(v = \int \cos y dx = \cos y \cdot x\).\)

Applying the integration by parts formula:

\(\[\int x^6 \cos y dx = u \cdot v - \int v \cdot du\]\)

Substituting the values:

\(\[\int x^6 \cos y dx = x^6 \cdot \cos y \cdot x - \int (\cos y \cdot x) \cdot (6x^5 dx)\]\)

Simplifying:

\(\[\int x^6 \cos y dx = x^7 \cos y - 6 \int x^6 \cos y dx\]\)

Moving the integral term to the left side:

\(\[7 \int x^6 \cos y dx = x^7 \cos y\]\)

Dividing both sides by 7:

\(\[\int x^6 \cos y dx = \frac{x^7 \cos y}{7}\]\)

Now, substituting this result back into our original equation:

\(\[7 \int x^6 \cos y dx = dy\]\)

\(\[\frac{7x^7 \cos y}{7} = dy\)

Simplifying:

x⁷ cos y = dy

Finally, the solution to the given differential equation is:

x⁷ cos y = y + C

where C is the constant of integration.

To learn more about differential equations visit:

brainly.com/question/25731911

#SPJ11

As per the sampling technique, consider the sampling distribution of the sample proportion. this sampling distribution will have a center equal to the population proportion, or p.

The sampling distribution of the sample proportion. This sampling distribution will become more variable as the sample size increases.

Here for the given question, let us check all the given statements in the options

Here we know that the shape is approximately normal. Then the given option will be false.

Next, it is the collection of all samples taken from the population, So the given option will be false

Standard Deviation

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

Now, the sample size increases, the value of n increases. where n is the value on the denominator of the equation of standard deviation.

Therefore, due to an increase in the value of n, then there will be decreases in the standard deviation.

Then the less standard deviation means a small variance.

Therefore, as a result, as the sample size grows, the variation will be minimal.

So, the center is the same as the sample proportion p.

Therefore, this is correct.

To learn more about Sampling Distribution visit:

brainly.com/question/13501743

#SPJ4

According to the information, it can be inferred that the bees must travel a distance of 4,803,620.82 km to complete the 30 kg of honey that a hive produces.

To calculate the distance that bees register to produce honey we must perform the following operation.

1. Calculate how many kilometers are equal to the circumference of the earth with the following formula 2*pi*R. In this case we replace the R, by the radius of the earth and we will obtain the distance of the circumference of the earth.

\(2\pi r\)

\(2\pi 6,371 km = 40,030.1736\)

2. Once we have identified the circumference of the earth, we must multiply it by four to know how much distance the bee will recover to produce one kg of honey.

40,030.1736 * 4 = 160,120.694

3. Finally we must multiply the distance it takes to produce 1kg by 30 to find the distance it takes to produce 30kg of honey.

160,120,694 * 30 = 4,803,620.82

learn more about honey in: https://brainly.com/question/14517218

#SPJ1

The correct option is C. 3.52/(22 - n) = 24/100.

The equation which can be used to find n, the number of gallons of water he should remove is 3.52/(22 - n) = 24/100.

Mathematical symbols can represent numbers (constants), variables, functions, operations, brackets, punctuation, and grouping, as well as the order of operations and other features of logical syntax.

Now, as per the given question.

22 gallons of water is evaporated from the grant plans which is 16% ammonia solution to make a 24% ammonia solution.

First, we determine how much ammonia is in 22 gallons of 16% ammonia solution.

16%  x 22 gal  =  3.52 gal

That after water evaporates, the quantity of ammonia remains constant, however the total quantity of solution is diminished by the quantity of water that evaporates.

Amount of ammonia: 3.52 gal

Amount of water that sustained: 22 - n

Requires concentration of ammonia is  24% = 24/100

The measurement will be formatted as follows:

(3.52)/(22 - n) = 24/100

Therefore, the equation which is used for the formation of the  number of gallons of water he should remove ammonia is (3.52)/(22 - n) = 24/100.

To know more about the expression, here

https://brainly.com/question/723406

#SPJ4

The complete question is -

Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. which equation can he use to find n, the number of gallons of water he should remove?

The options are-

A. 3.52(22 - n) = 0.24

B. (22 - n)/3.52 = 24/100

C. 3.52/(22 - n) = 24/100

D. 3.52 + (22 - n)  = 0.24

Answer:

Leslie has 13 quarters and 23 half-dollars.

Step-by-step explanation:

You can write the following equations from the information given and considering that a quarter is $0.25 and half-dollar is $0.50:

x+y=36 (1)

0.25x+0.50y=14.75 (2), where:

x=amount of quarters

y=amount of half-dollars

First, you can isolate x in (1):

x=36-y (3)

Then, you can replace (3) in (2):

0.25(36-y)+0.50y=14.75

9-0.25y+0.50y=14.75

0.25y=5.75

y=5.75/0.25

y=23

Finally, you can replace the value of y in (3) to find the value of x:

x=36-23

x=13

According to this, the answer is that Leslie has 13 quarters and 23 half-dollars.

Answer:

37777777777999999999999999

Answer:

$53.25

Step-by-step explanation:

Answer:

<ABC

Step-by-step explanation:

Answer:

46 Degrees

Step-by-step explanation:

hoped this helped

Answer:

point c

Step-by-step explanation:

:) hope its right

When Alonzo splits 3/4 pounds of candy among 4 people the unit rate in pounds per person is 3/16 pounds per person

The ratio of two measures, with one as the second of the item, is known as unit rate.

For the problem where Alonzo have to split 3/4 pounds of candy, the  unit rate is solved by division.

In this case, Alonzo will divide each the 3/4 pounds by 4 to get a value of which is the unit rate

The unit rate of candy in pounds per person

= 3/4 pounds / 4 persons

= 3/16 pounds per person

Learn more about splitting candy at:

https://brainly.com/question/10672454

#SPJ1

a.) P(T > 2) ≈ 0.0498 (rounded to four decimal places).

b.) P(T ≥ 1 ) ≈ 0.0498 (rounded to four decimal places).

If T is an exponential random variable with parameter λ=1.5, then the probability density function of T is given by:

f(t) = λ e^(-λt) = 1.5 e^(-1.5t)

for t ≥ 0.

(a) We have: P(T > 2) = ∫2∞ f(t) dt = ∫2∞ 1.5 e^(-1.5t) dt

Using integration by substitution with u = 1.5t and du = 1.5 dt, we get:

P(T > 2) = ∫3∞ e^(-u) du = e^(-3) ≈ 0.0498

Therefore, P(T > 2) ≈ 0.0498 (rounded to four decimal places).

(b) We have: P(T ≥ 2) = ∫2∞ f(t) dt = ∫2∞ 1.5 e^(-1.5t) dt

Using integration by substitution with u = 1.5t and du = 1.5 dt, we get:

P(T ≥ 1) = ∫3∞ e^(-u) du = e^(-3) ≈ 0.0498

Therefore, P(T ≥ 1) ≈ 0.0498 (rounded to four decimal places).

For such more question on decimal:

https://brainly.com/question/28393353

#SPJ11

The following question may be like this:

Suppose a random variable TT is Exponential with λ=1.5. Compute each of the following.

P(T>2)=P(T>2)= (Give the probability rounded to four decimal places.

P(T≥2)=P(T≥2)= (Give the probability rounded to four decimal places

Answer:

50

Step-by-step explanation:

5 pages * 10 copies = 50 pages

ANSWER :

x = 8.5

EXPLANATION :

Using sine law :

A = 28 degrees

a = x

C = 83 degrees

c = 18

The value of x will be :

Answer:

                 calories

Breakfast: 670  

Lunch:      555

Dinner:     910

Total = 2135 calories

Step-by-step explanation:

Let B, L and D, stand for the calories from Breakfast, Lunch, and Dinner

One day his calories from breakfast were 115 more, than his calories from​ lunch:  

B = L + 115

his calories from dinner were 200 less than twice his calories from lunch.:

D = 2L - 200

total caloric intake from meals was 2135:

B + L + D = 2135

------

We have B and D defined in terms of L from the first two equations, so use them in the third:

B + L + D = 2135

[L+115] + L + [2L-200] = 2135

4L - 85 = 2135

4L = 2220

L = 555 calories

B = L + 115

B = 555 + 115

B = 670 calories

D = 2L - 200

D = 2(555) - 200

D = 910 calories

================

CHECK

Does B + L + D = 2135 calories?

  670 + 555 + 910 = 2135?

 2135 = 2135?   YES

Answer:

Options 2, 4, 6

Step-by-step explanation:

Answer:

I think its 3 but I'm not a 100% sure.

Answer:

a = 24

Step-by-step explanation:

first distribute the 3 to the 1/3a and the 3 in the parentheses.

3 times 1/3 a equals a because 1/3 times 3 equals 3/3 or 1. so 1a equals a.

so now the equation reads (a + 3) =27

now subtract 3 from both sides of the equation and you are left with a = 24

The expected return of the stock given the three predicted states of the economy and the expected returns is 9.72%.

The expected return of the stock is the return that can be expected to be earned given the three states of the economy.

Expected return = (probability of a boom x return in a boom) + (probability of a normal economy x return in a normal economy) + (probability of a recession x return in a recession)

probability of a recession = 100 - 16 - 68 = 16%

Expected return = (22% x 0.16) + (11% x 0.68) - (8% x 0.16) = 9.72%

To learn more about addition, please check: https://brainly.com/question/349488

#SPJ1

Answer:50

Step-by-step explanation:

Number or apple pie and pumpkin pie are 32 and 48.

Given that;

Rate of Apple pie = $7

Rate of Pumpkin pie = $6

Total number of pie = 80

Amount earn = $512

Find:

Number or apple pie and pumpkin pie

Computation:

Assume;

Number of apple pie = a

Number of pumpkin pie = b

So,

a + b = 80 ..... Eq1

7a + 6b = 512 ..... Eq2

Eq1 × 7

7a + 7b = 560 ...... Eq3

Eq3 - Eq2

b = 48

Number of apple pie = 32

Number of pumpkin pie = 48

Find out more information about 'Elimination method'

https://brainly.com/question/3580300?referrer=searchResults

Answer:

A' (-3,12)

B' (9,6)

C' (-6,-6)

Answered by GAUTHMATH

Answer:

The answer is m=-2 or m=7.

Step-by-step explanation:

The steps to solve this equation are below:

Factor: to get (m+2)(m−7)=0.

m+2=0 or m−7=0

m=−2 or m=7. So, your answer is m=-2 or m=7.

Answer:

m = 7

m = -2

Step-by-step explanation:

ax^2 + bx + c

1m^2 - 5m - 14

a = 1

b = -5

c = -14

-b ± √b^2 - 4ac/2a

-(-5) ± √(-5)^2 - 4(1)(-14)/2(1)

5 ± √25 + 56/2

5 ± √81/2

5 ± 9/2

5 + 9/2

14/2 = 7

5 - 9/2

-4/2 = -2

Answer: A. -1

Step-by-step explanation:

(x - 2)2 + 5(x - 2) = -6

2x-4 + 5x -10= -6

Combine like terms

7x-14=-6

Add 14 to both sides

7x=8

Divide

X= 8/7 or 1.14 (rounded)

1.14 - 2= -0.86 which can be rounded to -1

Answer:

√8.√2

Step-by-step explanation:

√8.√2

√16

Answer:

\( \sqrt{8} . \sqrt{2}\)

Step-by-step explanation:

\( \sqrt{8} . \sqrt{2} = \sqrt{8 \times 2} = \sqrt{16} = 4 \\ which \: is \: a \: rational \: number\)

Answer:

The result can be shown in multiple forms.

Exact Form: 4√3 = √48

Step-by-step explanation:

Answer:

F

Step-by-step explanation:

one time fee of 22.50

9.50 * x (number of shirts)

9.50x + 22.50