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 the measure of an angle if the measures of its two adjacent supplementary angles add up to 100°?
The answer is not 80 btw
Explanation:
Let x be the unknown angle we want to find.
Let y be adjacent and supplementary to x. This means x+y = 180
Let z also be adjacent and supplementary to x. So x+z = 180 also
Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.
Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z
y+z = 100
z+z = 100
2z = 100
z = 100/2
z = 50
Therefore,
x+z = 180
x+50 = 180
x = 180-50
x = 130
Answer:
130°
Step-by-step explanation:
Let x be the unknown angle we want to find.
Let y be adjacent and supplementary to x. This means x+y = 180
Let z also be adjacent and supplementary to x. So x+z = 180 also
Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.
Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z
y+z = 100
z+z = 100
2z = 100
z = 100/2
z = 50
Therefore,
x+z = 180
x+50 = 180
x = 180-50
x = 130
A fair coin is flipped 10 times and the sequence of heads and tails is noted. In how many outcomes are there in at least 3 tails?a. 904 b. 120 c. 176 d. 24 e. 32
Answer:
P(X ≥ 3) = 0.94538
Step-by-step explanation:
When flipping a coin, probability of getting a tail is p= 0.5.
Number of times flipped; n = 10
Now, this is a binomial probability distribution problem with the formula;
P(X = x) = C(n, r) × p^(x) × (1 - p)^(n - x)
Probability of getting at least 3 tails is;
P(X ≥ 3) = P(3) + P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10)
P(3) = C(10, 3) × 0.5³ × (1 - 0.5)^(10 - 3)
P(3) = 0.1172
P(4) = C(10, 4) × 0.5⁴ × (1 - 0.5)^(10 - 4)
P(4) = 0.2051
From online binomial probability calculator, we have the remaining as;
P(5) = 0.2461
P(6) = 0.2051
P(7) = 0.1172
P(8) = 0.0439
P(9) = 0.0098
P(10) = 0.00098
Thus;
P(X ≥ 3) = 0.1172 + 0.2051 + 0.2461 + 0.2051 + 0.1172 + 0.0439 + 0.0098 + 0.00098
P(X ≥ 3) = 0.94538
plz help it's due in 10 min
Which is the most accurate statement about the sign of the product of a positive integer and a negative integer? 1.It is positive.
2.It is negative.
3.It depends on the sign of the first of the two numbers.
4.It cannot be predicted without knowing the integers.
Answer:
3
Step-by-step explanation:
I am not sure what the answer should be. Any help?
===================================================
Explanation:
We are given that AB is parallel to DC.
This allows us to say that angle BAC = angle DCA because they are alternate interior angles.
We have one pair of congruent angles, but we don't have a second pair of congruent angles. So we cannot use ASA.
We can't use SAS either since we only have information about one pair of congruent sides (AC = AC). We don't know anything about the other sides.
AA is not a congruence theorem. Instead it's a similarity theorem. So we can rule this out as well.
The only thing left is choice D. We don't have enough information. We need to know if AD is parallel to BC, so we can show that angle BCA = angle DAC, which is the other angle pair to use ASA. Or if we knew that AB = CD, then we could use SAS to prove the triangles congruent. Unfortunately we don't have this information.
On 1st September 2014 there were 5400 trees planted in a wood.
On 1st September 2015, only 5184 of these trees were still alive.
It is assumed that the number of trees still alive is given by N = art
where / is the number of trees still alive t years after 1st September 2014.
a) Write down the value
c) Show that on 1st September 2040
the number of trees still alive is predicted
o have decreased by over 65% compared
with September 2014.
b) Show that r = 0.96
Answer:
1. a = 5400
2. r = 0.96
3. Percentage decrement = 65.4%
Step-by-step explanation:
Given
N = ar^t
Solving (a): Write down the value of a
a implies the first term
And from the question, we understand that the initial number of trees is 5400.
Hence,
a = 5400
Solving (b): Show that r = 0.96
Using
N = ar^t
When a = 5400, t = 1 i.e. the first year and N = 5184
Substitute these values in the above expression
5184 = 5400 * r¹
5184 = 5400 * r
5184 = 5400r
Solve for r
r = 5184/5400
r = 0.96
Solving (c): Show that the trees has decreased by over 65% in 2040
First, we need to calculate number of years (t) in 2040
t = 2040 - 2014
t = 26
Substitute 26 for t, 5400 for a and 0.96 for r in N = ar^t to get the number of trees left
N = 5400 * 0.96^26
N = 1868.29658019
N = 1868 (approximated)
Next, we calculate the percentage change as thus:
%Change = (Final - Initial)/Initial * 100%
Where the initial number of trees =5400 and final = 1868
%Change = (1868 - 5400)/5400 * 100%
%Change = -3532/5400 * 100%
%Change = -3532%/54
%Change = -65.4%
The negative sign indicates a decrements or reduction.
Hence, percentage decrement = 65.4% and this is over 65%
What is 3.761 in expanded form
Answer:
3 + 0.7 + 0.06 + 0.001
Answer:3+ 0.7+ 0.06+ 0.001= 3.761
Step-by-step explanation:
can you plz give me more of an anser
Answer:
peepeepoopoo check
Step-by-step explanation:
(I'm not going to get an answer in time, but this is for people in the future who are going to need it)
Which reigon represents the solution to the given system of inequalities
Answer:
I think the answer is B.
89.36 in word form i have it in expanded form not word form though pls help ??????????????????????????????????????????????????????????????????????///
Answer:
eighty-nine and thirty-six hundredths
or, simpler:
eighty-nine point thirty-six
or, even simpler:
eighty-nine point three six
Answer:
eighty-nine and thirty-six hundredths
Step-by-step explanation:
Taft CLB Algebra 2 Unit 1: Systems of Linear Equations and Inequalities 2020-2021 / 3 of 13
Il Pause
Не
You earn $6 per hour babysitting and $10 per hour working at a gas station. You want to earn at least $90 to cover your weekly
expenses and have at most 15 hours available to work this week. The gas station requires you to work at least six hours per week.
Write a system of linear inequalities to model this situation.
OF B + G > 90
6B + 10G< 15
G> 6
O G 6B + 10G > 90
B + G > 15
G<6
OH 6B + 10G > 90
B + G < 15
G 26
Type here to search
o
ENG 9:20 AM
921
Answer:
[tex]B + G \leq 15[/tex]
[tex]6B + 10G \geq 90[/tex]
Step-by-step explanation:
Given
Represent Babysitting with B
Represent Gas Station with G
Total workhours = At most 15
Earnings = At least $90
First, we need to represent the work hours as inequality
B + G = At most 15
At most 15 means less than or equal to 15.
So, we have:
[tex]B + G \leq 15[/tex]
Next, we represent the earnings as inequality.
6 hours of babysitting is: 6B
10 hours at gas station is: 10G
So:
6B + 10G is at least 90
At least 90 means greater than or equal to 90
So, we have:
[tex]6B + 10G \geq 90[/tex]
Whoever answers correctly gets brainlist.
Answer:
1.- 4/5 + 5/12= 1 and 13/60
2.- 5/6 + 6/12= 1 and 1/3
3.- 1/3 + 2/6= 2/3
4.- 7/8 + 8/10= 1 and 27/40
You pay $7.80 for 6 pounds of apples. Find the price per pound.
━━━━━━━☆☆━━━━━━━
▹ Answer
$1.30
▹ Step-by-Step Explanation
To find the price per pound, you have to divide the total amount of money by the amount of pounds:
$7.80/6 lbs = $1.30
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Explain how to calculate equivalent fractions.
Answer:
Hey there! Thanks for asking your question.
We can multiply the numerators and denominators by any number.
Either way, you will have the same equivalent fraction.
Let's do a practice problem:
[tex]\frac{1}{2} = ?[/tex]
We can multiply the numerator & denominator by 2.
We get the number [tex]\frac{2}{4}[/tex].
So, [tex]\frac{1}{2} = \frac{2}{4}[/tex].
Best of Luck!
Ned took a test with 20 questions. He lost 5 points for each of the 8 questions he got wrong and earned an additional 11 points for answering a bonus question correctly. How many points did Ned receive or lose overall?
Answer:
He lost 29 points
Step-by-step explanation:
He lost 29 points. He lost 5 points for each of the 8 questions so -5 x 8 = -40 points, then add 11 = -29
Answer:
He would end up with 71 points
Step-by-step explanation:
You start with 100 hundred points then you have to multiply 8 times 5 which you get 40 so then you have to subtract 100 -40 to get 60 then you add the extra 11 points andyou get 71 points
i need to know the answer to this is radical form
What is an algebraic expression to represent the perimeter of a rectangle with a width of x+5 and a length of 3x+10?
what is the value of 6797999012
Answer:
6797999012
Step-by-step explanation:
Solve seven and five ninths minus three and nine elevenths.
( Im giving extra POINTS and BRAINLIEST on this one!! 0v0 )
A) three and seventy three ninety ninths
B) three and fifty five ninety ninths
C) four and fifty five twentieths
D) four and seventy three twentieths
(Here is an image if needed) :
It is 3 73/99
I just used a fraction calculator lol
Answer:
It is 3 73/99
How much sparkling water would you need to make 100 quarts of sparkling grape juice? (Recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quarts of grape juice)
Answer:
66.6666
Step-by-step explanation
This is the answer because I found it up here and I got the answer right.
Please help on this math question! I will love to help back on anything and give brainliest
Answer:
the perimeter is 25.
Step-by-step explanation:
have a nice day!
Find the expected value and the variance of the number of times one must throw a die until the outcome 1 has occurred 5 times.
Answer: E(X) = 30; Var[X] = 180
Step-by-step explanation: This is a Bernoulli Experiment, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate Expected Value, which is the mean, in these conditions:
[tex]E(X)=\frac{r}{p}[/tex]
r is number of times it is repeated
p is probability it happens
Solving:
[tex]E(X)=\frac{5}{1/6}[/tex]
E(X) = 30
Variance is given by:
[tex]Var[X]=\frac{r(1-p)}{p^{2}}[/tex]
[tex]Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}[/tex]
[tex]Var[X]=5.\frac{5}{6}.6^{2}[/tex]
Var[X] = 180
Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.
Algebra!!!! Answer QUICK PLZ
5 questions!!! 50 POINTS!!!!
Answer:
A
C
i don't get the first slide
Step-by-step explanation:
Answer:
A
C
What is the 1st one?? i don't get it.
Step-by-step explanation:
Just select yes and no for all three pls help
.....*+*Kill me*+*.....
*+*.......................*+*
*+*.......................*+*
Answer:
1. Yes 2. No 3. No
Step-by-step explanation:
88) 4 times a number decreased by 8 equals 40
A) x=80 B) x = 40 C) x=8
D) x = 12
Plz help me with this
Answer:
0
Step-by-step explanation:
Inverse it To verify:
0/1=0+9=9
Helpppp
A 95% confidence interval is found to be (30,36). The sample standard
deviation is 9, and the sample size is 36. If you wanted a smaller interval,
what could you do?
A. None of these
B. Decrease the sample size to 30.
C. Increase the sample size to 100.
D. Increase the confidence level to 99.7%.
Answer:
C
Step-by-step explanation:
A P E X
If you wanted a smaller interval, you could (c) Increase the sample size to 100
How to determine the true statement?The confidence interval is given as:
CI = 95%
The sample standard deviation is given as:
σ = 9
The sample size is given as:
n = 36
In a test of hypothesis, the higher the sample size, the smaller the confidence interval.
This means that an increase in the sample size from 36 would decrease the confidence interval
Hence, if you wanted a smaller interval, you could (c) Increase the sample size to 100
Read more about confidence intervals at:
https://brainly.com/question/15712887
#SPJ2
pls help and explain if u can
Answer:
Step-by-step explanation:
6 - 3(x + 1) = 18 ⇔ 3 - 3x = 18 ⇒ x = 5
y - 6 = 17 ⇒ y = 23
z - 3 = 4z ⇒ z = - 1
18 - 3(0) = 9w ⇒ w = 2
========================
I'm going to solve for you some another question you asked, I did not see the right answer... :)
There are two scenarios, because the expression under the module can be positive and can be negative: | 3x + 2| - 2 > 3 ⇔ | 3x + 2| > 5
(1). If (3x + 2) is positive then
3x + 2 > 5 ⇒ x > 3
(2). If (3x + 2) is negative then
- (3x + 2) > 5
- 3x - 2 > 5
- 3x > 7 ⇒ x < - [tex]\frac{7}{3}[/tex]
The final answer is x < - 2.3 or x > 1
Kareem made a shirt using 1/2 yards of blue fabric and 1/8 yards of red fabric. How many more yards of blue fabric did Kareem use
Which of the following is the mean of the sampling distribution
Jake solved an equation, as shown
1. 1/3x + 7 = 15
2. 1/3x + 7 - 7 = 15
3. 1/3x = 15
4. 3 • 1/3x = 3 • 15
5. x = 45
Which statement is true?
Jake made a mistake in step two
Jake made a mistake in step four
Jake made a mistake in step five
Jake solved the equation correctly
Answer:
mistake in step 2 forgot to subtract from end
Step-by-step explanation:
An equation is formed when two equal expressions. The value of x is 24 and Jake made a mistake in step 2. The correct option is A.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation 1/3x + 7 = 15 can be solved as shown below.
Step 1.) 1/3x + 7 = 15
Step 2.) Subtract 7 from both the sides of the equation,
1/3x + 7 - 7 = 15 - 7
Step 3.) 1/3x = 8
Step 4.) Multiply both the sides of the equation by 3,
3 • 1/3x = 3 • 8
Step 5.) x = 24
Hence, the value of x is 24. And Jake made a mistake in step 2.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2