Complete question :
A therapeutic drug has the side effect of raising a patient's heart rate. The relationship between ,
the amount of the drug in the patient's body (in milligrams), and r, the patient's heart rate (in beats
per minute) is given by r(Q) = 60+ 0.2Q. Over time the level of the drug in the patient's
bloodstream changes. The amount of drug in the patient's body, Q, (in milligrams) t minutes after
the drug has been administered is given by Q(t) = 250(0.8)^t.
a. What is the heart rate of this patient 5 minutes after the drug was administered? 8 minutes?
10 minutes? 13 minutes?
Answer:
76.384 ;
68.389 ;
65.369;
62.749
Step-by-step explanation:
Given function:
r(Q) = 60+ 0.2Q ; amount of drug on patient's body, Q and heart rate (r)
The amount of drug in the patient's body, Q, (in milligrams) t minutes after
the drug has been administered is given by Q(t) = 250(0.8)^t
a. What is the heart rate of this patient
5 minutes after the drug was administered?
t = 5 ; quantity of drug on patient's body ;
Q(5) = 250(0.8)^5 = 81.92
Q = 81.92
Heart rate (r)
r(81.92) = 60+ 0.2(81.92) = 76.384
t = 8 minutes?
Q(8) = 250(0.8)^8 = 41.94304
Q = 41.94304
Heart rate (r)
r(41.94304) = 60+ 0.2(41.94304) = 68.389
t = 10 minutes
Q(10) = 250(0.8)^10 = 26.8435456
Q = 26.8435456
Heart rate (r)
r(26.8435456) = 60+ 0.2(26.8435456) = 65.369
t = 13 minutes
Q(13) = 250(0.8)^13 = 13.7438953472
Q = 13.7438953472
Heart rate (r)
r(13.7438953472) = 60+ 0.2(13.7438953472) = 62.749
what is le 2+2?
im -2 years old
Answer: The answer is 4
Step-by-step explanation: and FYI nobody is -2 years old
Evaluate the expressions using the distributive property. ⅔(-7) + ⅔(-5)
I have no idea what to do, i need the answer!!!
Answer:
y = -x - 6
Step-by-step explanation:
From point A, to get to point C, you would need to go down 2 and right 2 which is -2/2 and -2/2 is the same thing as -x.
The y-intercept is -6 because the line goes thorough -6 in the y axis.
Hope this helps and pls do mark me brainliest if you can:)
Given x and y are integers, explain why the product of the expression and it's conjunct will always be an integer
Answer:
If neither of the two real numbers is zero, then their product is also not zero Suppose also that x is a real number that satisfies the equation The " / " symbol does not always give you a result of an integer, so be careful.pkek, and any other expression for n as a product of prime numbers is identical to this except,.
Step-by-step explanation:
Elvira used 4 cups of grape juice, 15 cups of cranberry juice, and 2 1 / 2 cup of pineapple juice to make punch. One liter is
approximately equal to 4.23 cups.
Which measurement is closest to the number of liters of punch Elvira made?
Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?
Answer:
2x + 2y ≤ 20
x + 3y ≤ 2
Step-by-step explanation:
this is the correct answer i got on my assignment-------
The system of inequalities can model Gabrielle’s situation is x + 2y ≤ 20
and 3x + 2y ≤ 21.
What are inequalities?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than’, or < ‘less than’.
It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.
By setting variables as follows; batches of brownies = x and batches of cookies = y
Brownie:
Sugar = 1 cup
Eggs = 2
x + 2y ≤ 20
Cookie:
Sugar = 3 cups
Eggs = 2
3x + 2y ≤ 21
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Gabrielle is baking large batches of brownies and cookies to share with her friends and family. Among other ingredients, her brownie recipe calls for 1 cup of sugar and 2 eggs and her cookie recipe calls for 3 cups of sugar and 2 eggs. Gabrielle has 20 eggs and 21 cups of sugar, and she would like to know how many batches of brownies and cookies she can bake without getting more of these ingredients. Part A Question Which system of inequalities can model Gabrielle’s situation, where x represents batches of brownies and y represents batches of cookies?
Find parametric equations for the tangent line to the curve with the given parametric equations at the specified point. x = t2 + 35, y = ln(t2 + 35), z = t; (6, ln(36), 1)
Answer:
Attached below is the detailed solution
answer : x(t), y(t), z(t) = ( 6 + t/6, In (36) + t/18, 1 + t )
Step-by-step explanation:
x = [tex]\sqrt{t^2 + 35 }[/tex] , y = In(t^2 + 35 ), Z = t;(6, ln(36), 1)
Determine the parametric equations for the tangent line to the curve with the above given parametric equations
attached below is the detailed solution
Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma ran the loop in of an hour. What is Selma’s unit rate in miles per hour for Monday’s run?
In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour.
part A. According to the question, the unit rate is to be expressed in which units?
Part B. Now, write Selma’s jogging rate as a complex fraction. A complex fraction is one whose numerator, denominator, or both are fractions. Be sure to include units in your answer.
Part C. Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.
Part D
Answer:
a) Her rate is 1 mile per hour for Monday’s run
b) 0.447 m/second
c) In fraction 20467m/180000 seconds
Step-by-step explanation:
Speed = distance / time = 1 mile/ 1 hour
= 1 mile per hour
Her rate is 1 mile per hour for Monday’s run
part A. According to the question, the unit rate is to be expressed in miles per hour units.
Part B.
Speed = distance / time = 1 mile/ 1 hour
= 1 mile per hour
But 1 mile = 1609.34 m
and 1 hour = 3600 seconds
There fore
1 mile/ 1 hour = 1*1609.34/ 1*3600 seconds
= 0.447 m/second
Part C.
1 mile/ 1 hour =1609.34/ 3600 seconds
= 1609.34 * 100/100 * 1/3600 ( multiplying and dividing by 100 to remove the decimal)
= 160934/360000
= 20467m/180000 seconds
The first five multiples of 1 are 2,3,4,5,6,7,8, 9......
The LCM of 1 and 1 is 1
We have a bag that contains 100 balls, 50 of them red and 50 blue. Select 5 balls at random. What is the probability that 3 are blue and 2 are red?
Answer:
Likely, I think I havent been in this for a long time so i may be a little rusty. But anyways, I hope this helped!
Step-by-step explanation:
32% is the probability that 3 are blue and 2 are red.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
here, we have,
We have a bag that contains 100 balls, 50 of them red and 50 blue.
We, Select 5 balls at random.
the probability that 3 are blue and 2 are red = 50C3*50C2/50C5
solving we get,
19600*1225/75287520
=24010000/75287520
=0.32
=32%
Hence, 32% is the probability that 3 are blue and 2 are red.
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ILL GIVE BRAINLIEST!!! The average of x+6, 6x+2, and 2x+7 is 4x-7. What is x?
Answer:
yStep-by-step explanation:
!!!Plz help!!!Which notation shows that Pis a function of X?
A. Pox
B. P(x)
C. x.P
O D. x(P)
Answer:
the answer is that B .P(X)
a pump moves 42 gallons in 7 minutes
Answer:
The correct answer is 6
Step-by-step explanation:
Divide 42 divided by 7 to get 6.
Answer:
What is the question?
Step-by-step explanation:
The pump moves 6 gallons in 1 minute
Divide 42 by 7 = 6
But I don't know the question so I can't tell you the best correct answer.
I just took a guess at what you wanted
Write an equation in slope intercept form and in standard form for the line passing through (4,9) and perpendicular to x=-6
Answer:
Input work is the work done on a machine as the input force acts through the input distance. This is in contrast to output work which is a force that is applied by the body or system to something else. Output work is the work done by a machine as the output force acts through the output distance.Jan 15, 2020 hwgsvsd d jxvsd
dvsud sgsgs hsysvdudbd dvyd dhsgtsjd vsytwgsud gsyfwuyebdbhys. dusgcejd b
Callista used 10% off coupon to purchase a band t-shirt from Hot Topic . If the shirt cost $21.00, what is the discount in dollars?
Answer:
The discount is 2.1 dollars
PLEASE HELP PICTURE ATTACHED
Answer:
x=[tex]\frac{13}{30}+i\frac{\sqrt{251}}{30}[/tex]
Step-by-step explanation:
Answer:
I do not fully understand this question so I will try to answer it the best I can.
25x^2-10x^2-13x=-7
15x^2-13x=-7
That is the question simplified. The part that you need to do from here is to figure out what x is. A way you can do that is by plugging in different solutions of what x could be until you find a solution that fits into the equation. I can't help that much but I hope that my solution helps.
plzzzz help me!!!
Find the total cost to the nearest cent.
$49.95 pair of shoes; 5% tax
Answer:
49.95+2.4975(the 5% tax)
Step-by-step explanation:
=52.4475 dollars
Answer:
$52.4475
Step-by-step explanation:
5/100×49.95=249.75
249.75÷100=2.4975
2.4975+49.95=52.4475
What is the equation for trying to solve slope ?
Answer:
slope =
Step-by-step explanation:
The income from the spanish club bake sale was $465. Expense for the sale totlaed $50. Using integer addition find the total profit or loss from the bake sale
9514 1404 393
Answer:
profit: $415
Step-by-step explanation:
Profit = Income - Expense
= $465 - 50
= $415
The profit from the bake sale was $415.
__
If you consider the above subtraction not to be "integer addition," then the equation you want to evaluate is ...
profit = $465 + (-50) = $415
Subtraction is the same as addition of the opposite.
F(x)=3x+10
g(x)= x-2
Find g(f(-10))
Solve please
Answer: -22
Step-by-step explanation:
first let's plug in -10 to the f(x) function.
F(-10) = 3(-10) + 10 = -30 +10 = -20
Now we plug in -20 into the g(x) function
g(-20) = -20 -2 = -22
Answer:
If g(x) = x - 2, then g(f(x)) = f(x) - 2. So the whole equation would be: 3x + 10 × x - 2. Simplified: g(f(x)) = 13x - 2
UwU
If ƒ (x ) = 3x2 - x, find ƒ (-2).
Answer:
f(-2) is 14.
Step-by-step explanation:
We have been given the function:
We have to find f(-2)
That means put x= -2 in the given function we get:
After simplification we will get:
After further simplification we will get the required result:
Hence, ƒ (-2) is 14
answer 6, as quick as you can please
9514 1404 393
Answer:
0 ft
Step-by-step explanation:
The line hangs down 15 feet from the top of each pole, so the distance between them must be zero if the total line length is 30 feet.
Please help me. What’s the answer ?
Answer:
D
Step-by-step explanation:
D
1. Kim ran the 100-meter race in 135.46 seconds. Tyron ran faster by 15.7 seconds. What was Tyron’s time for the 100-meter dash?
2. Janna takes her medicine 3 times a day. How many days will a 60 ml medicine last if ml is taken each time?
3. May bought 23 of a kilo of meat. She cooked 12 of it. How much did she cook?
4. Arjay bought 8.75 meters of cloth for ₱813.75. Find the cost price per meter.
5. Jay will divide his P112,000 among his 3 brothers. His elder brother will receive of the amount while the remaining amount is to be equally divided among the two younger brother. How much will each of the younger brothers receive?
Answer:
119.76
8 days
0.5217
93
Step-by-step explanation:
Given that:
1)
Kim's time = 135.46 seconds
Tyron's time is 15.7s faster ;
Tyron's time = 135.46 - 15.7 = 119.76
Janna takes her medicine 3 times a day. How many days will a 60 ml medicine last if 2 1/2ml is taken each time?
(2 1/2 * 3) = 7.5 mL per day
60 mL / 7.5 = 8 days
3. May bought 23 of a kilo of meat. She cooked 12 of it. How much did she cook?
Total bought = 23 of a kilo of meat
Amount cooked = 12 /23= 0.5217 kilo
4. Arjay bought 8.75 meters of cloth for ₱813.75. Find the cost price per meter.
Cost per meter :
813.75 / 8.75 = 93 per meter
5. Jay will divide his P112,000 among his 3 brothers. His elder brother will receive of the amount while the remaining amount is to be equally divided among the two younger brother. How much will each of the younger brothers receive?
Question 5 is Incomplete
PLEAS HELP FAST!!!!!!!!!!!!!!
Answer: Point D
Step-by-step explanation: Point D is at 3 and 3/4.
I think the answer is point D
Please find the x, thank you!
Answer:
X=8
Step-by-step explanation:
Hope this helps
explain how you would use integer tiles to find the quotient of -15 and 3
Answer:
Start with 15 negative tiles. Separate the tiles into 3 equal groups. Each group will have 5 negative tiles, so -15 divided by 3 is -5.
Step-by-step explanation:
For this module's assignment review the following. 1. A student randomly guesses the answers to a four-question true-or-false quiz. The observation is the student's answer for each question. Write out the sample space. (Use T = true and F = false) 2. At Aunt Edna's Diner, a customer can choose from 5 appetizers, 7 entrees, 4 side dishes, and 6 desserts. How many different meals can be made by selecting one item from each course? 3. Compute gC3. 4. Compute 9P3-
9514 1404 393
Answer:
tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff84084504Step-by-step explanation:
1. The sample space is all 16 possible sequences of T or F of length 4:
tttt, tttf, ttft, ttff, tftt, tftf, tfft, tfff fttt, fttf, ftft, ftff, fftt, fftf, ffft, ffff
__
2. The number of possibilities is the product of the numbers of choices at each stage:
5 × 7 × 4 × 6 = 840 . . . different meals
__
3. 9C3 = 9!/(3!·6!) = 84
__
4. 9P3 = 9!/6! = 504
A train is traveling at 60 mph. If the rate of speed increases 4 mph each hour,
how long will it be before the train is traveling at a rate of 80 mph?
OA) 4 hours
B) 5 hours
OC) 6 hours
OD 7 hours
Answer:
B) 5 hours
Step-by-step explanation:
First, find the amount of mph between 60 and 80:
80 - 60
= 20 mph
Since the speed increases 4 mph per hour, we can find how long it will take to get to 80 mph by dividing 20 by 4:
20/4
= 5
So, the correct answer is B, 5 hours
The sum of the perimeters of an equilateral triangle and a square is 22. Find the dimensions of the triangle and the square that produce a minimum total area. dimension of triangle dimension of squar
Answer:
The dimension of the triangle is 4.144 m and the dimension of the square is 2.392 m
Step-by-step explanation:
let a side of the equilateral triangle = x
let a side of square = y
3x + 4y = 22
4y = 22 - 3x
[tex]y = \frac{11}{2} -\frac{3x}{4}[/tex]
subjective function, the total area is given by;
[tex]f(x,y) = \frac{x^2\sqrt{3} }{4} +y^2[/tex]
[tex]f(x) = \frac{x^2\sqrt{3} }{4} + (\frac{11}{2} -\frac{3x}{4})^2\\\\f(x) = \frac{x^2\sqrt{3} }{4} +\frac{121}{4} -\frac{33x}{4} +\frac{9x^2}{16} \\\\f(x)' = \frac{x\sqrt{3} }{2} -\frac{33}{4} +\frac{9x}{8} \\\\\frac{x\sqrt{3} }{2} -\frac{33}{4} +\frac{9x}{8}=0\\\\\frac{x\sqrt{3} }{2} + \frac{9x}{8} =\frac{33}{4}\\\\\frac{4x\sqrt{3} +9x}{8} = \frac{33}{4}\\\\4x\sqrt{3} +9x = 66\\\\x(4\sqrt{3} +9) = 66\\\\x(15.928) = 66\\\\x = \frac{66}{15.928}\\\\x = 4.144 \ m[/tex]
solve for y
[tex]y = \frac{11}{2} -\frac{3x}{4}\\\\y = \frac{11}{2} -\frac{3*4.144}{4}\\\\y = 5.5-3.108\\\\y = 2.392 \ m[/tex]
Therefore, the dimension of the triangle is 4.144 m and the dimension of the square is 2.392 m
hiii my dudeeeeeeeeeeee
Answer:hi how’s it going
Step-by-step explanation:
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation: