Answer:
5416.6
Step-by-step explanation:
use a calculator
Let P(t) represent the amount of a certain drug, in milligrams, that is in the bloodstream at time t hours. The rate at which the drug leaves the bloodstream is proportional to the amount of the drug in the bloodstream. The amount of the drug in the bloodstream can be modeled by dP/dt = kP, where k is a constant and t is time, in hours. At time t = 0,500 milligrams of the drug was administered. At the moment when the amount of the drug in the bloodstream is 50 milligrams, the amount is decreasing at a rate of 11.5 milligrams per hour. Which of the following is an expression for P (t)?
A. P(t) = 500 – 0.23t.
B. P(t) = 500 – 0,23 42.
C. P(t) = 500e -0.231.
D. P(t) = e-0.23+ + 499.
As proportional relationship, the amount decreasing at a rate milligrams per hour can be written in expression P(t) = 500 + e⁻⁰²ˣ
What is Proportional relationship?In math, the relationships between two variables where their ratios are equivalent is known as proportional relationship.
Given that P(t) represent the amount of a certain drug, in milligrams, that is in the bloodstream at time t hours.
Here we have the rate at which the drug leaves the bloodstream proportional to the amount of the drug bloodstream.
The amount of the drug in the bloodstream can be modeled by dP/dt = kP, where k is a constant and t is time, in hours.
Here we need to find the expression.
Bloodstream = 500 milligrams
So, the expression for this proportional relationship is written as;
P(t) = 500 + e⁻⁰²ˣ
To know more about Proportional relationship here.
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What is 316+178*2427(2639+26383)-373637/282637
Answer:
12537678446.7
Step-by-step explanation:
316+178 divided by 2427 (2639 plus 26383) - 373637/282637
Write the equation of the line that passes through the points (4,-1) and (4,8). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
x = 4
Step-by-step explanation:
Given the points (4, - 1) and (4, 8)
Note the x- coordinates are 4 in both cases.
This indicates the line passing through the points is vertical with equation
x = c
where c is the value of the x- coordinates the line passes through. In this case 4, thus
x = 4 ← equation of vertical line
I need some help with this one please and thanks.
Answer:
116
Step-by-step explanation:
hope this helps
Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
Answer, B
I looked up this question and i couldnt find the correct one, so here you go
What does the ㏑symbol on a calculator do?
Thanks :)
Answer:
That handy button allows you to instantly change a positive number into a negative number, or, to change a negative number to a positive one
The diameter of a cylinder is 5 yd. The height is 4 yd. What is the volume of the cylinder
Answer:
25 pi square yd OR rounded pi to 3.14: 78.5 square yd
Step-by-step explanation:
Use the formula volume of cylinder = base area × h to determine the value of the base area.
Diameter: 5 yd
Height: 4 yd
(5/2)^2 Pi x 4 = 25 pi square yd.
Answer:
78.5 yd
Step-by-step explanation:
= [tex]\pi[/tex]r²h
= (3.14)(2.5)²(4)
= (3.14)(6.25)(4)
= 19.625 x 4
= 78.5 yd
Suppose the equation is 9.99s + 7.99s + 4.6 = 53.94. Can you combine the s terms and 4.6? Explain.
Answer: No you cannot.
Step-by-step explanation:
They are different units and cannot be combined.
Write a system of equations and then solve by the method of your choice. Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each. After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792. Find the number of each general admission tickets sold.
Given :
Reserved seat tickets for the football game cost $4.00 each and general admission tickets cost $3.00 each.
After the game is over, the turnstile count shows 1787 people attended the game. The total receipts were $5792.
To Find :
The number of each general admission tickets sold.
Solution :
Let, general admission are x.
So, Reserved seat tickets will be 1787 - x.
Now, total amount T = 3x + 4( 1787 - x )
T = $5792
3x + 4( 1787 - x ) = $5792
-x + 7148 = 5792
x = 1356
Therefore, the number of each general admission tickets sold are 1356.
Hence, this is the required solution.
Suppose B is the point (4, -2) and A is the point (-6, 3).
Find point C so that point B is the midpoint of segment AC
Answer: (14, -7)
Step-by-step explanation:
use the substitution method to solve the system of equations. choose the correct ordered pairs
-x=-y-6
x+2y=12
a. (7,1)
b. (8,2)
c. (6,0)
d. (9,3)
Answer:
c. (6, 0)
Step-by-step explanation:
First, add y on both sides of the first equation, so it's easier to solve:
-x+y = 6
x+2y = 12
Then, add the 2 equations:
3y = 18
y = 6
Since c is the only one with a 6, we can deduce that the answer is c.
We can further check by plugging y back into the first equation:
-x+6 = 6
-x = 0
x = 0
This confirms that the answer is c.
I hope this helped.
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answer:
18
Step-by-step explanation:
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Martin incorrectly claims that there are only parallel line segments found in the blinds. Give an example of perpendicular line segments found in the blinds.
Answer:
see attached
Step-by-step explanation:
Any of the vertical lines is perpendicular to any of the horizontal lines.
The open/close/adjust handle is perpendicular to the blind slats and the blind frame.
The threads that hold the slats, and the string that raises/lowers them are also perpendicular to the slats.
A patient is expected to drink 8 fluid ounces of water every hour for 5 hours prior to going to bed, the night before a colonoscopy. Then right before bed, they must drink 6 fluid ounces of water and 5 ounces of Pedialyte. How many total fluid ounces has the patient consumed prior to going to bed.
Answer:
40
Step-by-step explanation: It's 40 because 8 times 5 is 40. But if you want to find out how much water the patient drank all together including right before bed then it would be 46 ounces of water.
how many numbers are between 1 and 212
Answer:
210 (numbers between )
Step-by-step explanation:
Find the Volume of the Prism.
Height= 3cm
Length=8cm
Width=5cm
Please help
Step-by-step explanation:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Please help with math please
Answer:
eight to the power of 4 would be 8x8x8x8, 9 cubed would be 9x9x9 and 9^3, 17x17x17, 21x21x21x21x21 and 21^5, 7^2, 11x11x11x11
Step-by-step explanation:
help pleaseeeeeeeeeeee
Answer:
3x + 7
Step-by-step explanation:
let the number be x then multiply it by 3 is 3x , then add 7 is
3x + 7
Answer:
3x + 7
Step-by-step explanation:
3 multiply x then add 7
3x + 7
What is Greatest value of 7,499
Answer:
9 is the greatest value
Step-by-step explanation:
Provide two numbers that are on the opposite side of zero.
Answer:
Positives: 9 and 4
Negatives: -5 and -7
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Last year a tree was 12.8 meters tall it grew 1.35 meters taller this year if it grows the same amount next year how tall will the trees be
Answer:
15.5 meters tall
Step-by-step explanation:
Add 1.35 for each year to the start amount.
A, B & C form the vertices of a triangle.
∠ CAB = 90°,
∠ ABC = 51° and AB = 8.6.
Calculate the length of BC rounded to 3 SF.
Answer:
BC ≈ 13.7
Step-by-step explanation:
using the cosine ratio in the right triangle
cos51° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{8.6}{BC}[/tex] ( multiply both sides by BC )
BC × cos51° = 8.6 ( divide both sides by cos51° )
BC = [tex]\frac{8.6}{cos51}[/tex] ≈ 13.7 ( to 3 sf )
PLEASE ANSWER QUICKLY ASAP
READ QUESTIONS CAREFULLY
Answer:
The answer is B and C . If you need the method I used to find it, contact me via comments on brainly.
Answer:
B and C
Step-by-step explanation:
on c i got exactly 25%
but on B i got 23% but B was the closest to 25% than A and D
Malik borrowed $8,000 to buy a new boat. He will pay off the loan after 4 years by paying back the principal plus 6.5% simple interest. How much will Malik pay back altogether?pls help
$520
$2,080
$8,000
$10,080
Answer:
$520
Step-by-step explanation:
8000x0.065=520
What is the area of this triangle?
Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Which inequality describes the graph
Y < 3/4x -3
Y _> 3/4x -3
Y _< 3/4x -3
Y > 3/4x -3
Answer: Choice B) [tex]y \ge \frac{3}{4}x-3[/tex]
The boundary is the equation y = (3/4)x-3 which goes through (0,-3) and (4,0)
This boundary is a solid line. Since it's a solid line, we will involve "or equal to" as part of the inequality sign.
The shading above the boundary line indicates we'll also have "greater than" as part of the inequality sign.
So overall, the inequality sign is "greater than or equal to". That leads to choice B.
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Using the empirical rule, what percentage of people have an IQ score between 70 and 130?
70 = 100 - 2•15 is 2 s.d.'s below the mean.
130 = 100 + 2•15 is 2 s.d.'s above the mean.
By the empirical rule,
Pr [70 ≤ X ≤ 130] = Pr [-2 ≤ Z ≤ 2] ≈ 95%
(where Z is normally distributed with mean 0 and s.d. 1)
on a number line, the length of GD is 18. If the coordinate of the midpoint A of GD is 0, what are the coordinates of the points G and D?
Answer:
coordinates of : G = -9 , D = 9
What’s the answer to them and can u show work as well
3. 5
Constant terms are terms with no variables attached to them, and will not change under any circumstances. A variable is typically denoted by a Latin Alphabet.
4. 4
The coefficient is the whole number found in front of the variable, typically being multiplied to it. In this case, you are solving for the coefficient that is found in front of g², which is 4.
5. -3c
The coefficient -3 is found at the 3rd term of the expression.
6. -12x & -17x ; 15y & 16y
Like terms are terms with the same variable as well as the same amount of variables. For example x² is not a like term of x, though both variables have x to signify them.
7. 3c
Unlike terms are terms that do not share at least one partner of the same amount of variables. c is a variable by itself with no other terms containing it, and so is your answer.
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Find the mean absolute deviation of the set of data.
1, 4, 7, 8, 10
Answer:
2.8
Step-by-step explanation:
Answer:
2.8 is the MAD
6 is the mean