Answer:
a) 7.78 months
b) 1116
Step-by-step explanation:
Given -
[tex]\frac{dP}{dt} = 0.4p-450[/tex]
Integrating the above equation with respect to time, we get -
[tex]\int\ \frac{dP}{0.4p-450} = \int\ dt\\[/tex]
let us define new variable x
[tex]x = 0.4p - 450 \\dx = 0.4 dy[/tex]
substituting these values in above integral equation, we get -
[tex]\frac{1}{0.4} \int\ \frac{dx}{x} = \int\ dt\\ln x = 0.4 t + C\\x = ce^{0.4t}[/tex]
[tex]P (t) = \frac{C}{0.4} e^{0.4t} +1125\\[/tex]
at t = 0, P (0) = 1075, using this condition, we get -
[tex]\frac{c}{0.4} = -50\\P(t) = 50 e^{0.4t} +1125 \\t = 7.78\\P(0) = 1125 - \frac{1125}{e^{4.8}} = 1116[/tex]
What does Q equal to
Is an egg a fruit or a vegetable?
Answer:
fruit
Step-by-step explanation:
can you help me with my question Complete the following sentence: After we explained why we needed her in the play, she and joined our rehearsal A quaffed B. acquiesced C vengeance D. wreaked
What will be the result of substituting 2 for x in both expressions below? One-half x + 4 x + 6 minus one-half x minus 2 Both expressions equal 5 when substituting 2 for x because the expressions are equivalent. Both expressions equal 6 when substituting 2 for x because the expressions are equivalent. One expression equals 5 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent. One expression equals 6 when substituting 2 for x, and the other equals 2 because the expressions are not equivalent.
Replace x with 2 and solve each equation:
1/2(2) + 4 = 1 + 4 = 5
2+ 6 -1/2(2) -2 = 8-3 = 5
The answer is:
both expressions equal 5 when substituting 2 for x because the expressions are equivalent.
Which situations can be simulated using this spinner? Select three options.
A spinner with 6 equal sections.
Answer:
What are the options?
Step-by-step explanation:
Answer:
the answer is A and C if its a multipul choice question if not try answer A
Step-by-step explanation:
answer please quick its due
Answer:
b
Step-by-step explanation:
I need help with this today
A student claims that if y-values are not increasing as x-values increase, then the data must show a negative association. Explain the error the student made.
Answer:
Because it can just stay constant. It may not change at all, so that's not a negative association
Step-by-step explanation:
The value of 34 + 5 ⋅ 5 = ___. Numerical Answers Expected! Answer for Blank 1:
Answer:
39.5
Step-by-step explanation:
Plz help me I am timed!!
Answer:
504
Step-by-step explanation:
Write the equation of the line that has m = -1/3 and goes through the point (-9, -1). Write the equation in slope-intercept form.
Step-by-step explanation:If you want to find the equation of line with a given a slope of -8 which goes through the point (6,9), you can simply use the point-slope formula to find the equation:
---Point-Slope Formula---
y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope, and is the given point
So lets use the Point-Slope Formula to find the equation of the line
y-9=%28-8%29%28x-6%29 Plug in m=-8, x%5B1%5D=6, and y%5B1%5D=9 (these values are given)
y-9=-8x%2B%28-8%29%28-6%29 Distribute -8
y-9=-8x%2B48 Multiply -8 and -6 to get 48
y=-8x%2B48%2B9 Add 9 to both sides to isolate y
y=-8x%2B57 Combine like terms 48 and 9 to get 57
------------------------------------------------------------------------------------------------------------
Answer:
So the equation of the line with a slope of -8 which goes through the point (6,9) is:
y=-8x%2B57 which is now in y=mx%2Bb form where the slope is m=-8 and the y-intercept is b=57
Simplify.
(1) x + x + x + x4 น”
Answer:
Sorry my handwriting is terrible :) :p
Step-by-step explanation:
Examine the worked problem and solve the equation
Answer:
The solution is 9
Heart failure is due to either natural occurrences (89%) or outside factors (11%). Outside factors are related to induced substances or foreign objects. Natural occurrences are caused by arterial blockage, disease, and infection. Assume that causes of heart failure between individuals are independent.
A) What is the probability that the first patient with heartfailure that enters the emergency room has the conditions due tooutside factors?
B) What is the probability that third patient with heartfailure that enters the emergency room is the first one due tooutside factors?
C) What is the mean number of heart failure patients with thecondition due to natural causes that enter the emergency roombefore the first patient with heart failure from outsidefactors?
Answer:
a) 11% probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors.
b) 0.0871 = 8.71% probability that third patient with heart failure that enters the emergency room is the first one due to outside factors.
c) The mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors is 9.09.
Step-by-step explanation:
We have these following probabilities:
89% probability that a patient has heart failure due to natural occurrences.
11% probability that a patient has heart failure due to outside factors.
A) What is the probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors?
We assume that causes of heart failure between individuals are independent, which means that the probabilities are the same for each patient. So:
11% probability that the first patient with heart failure that enters the emergency room has the conditions due to outside factors.
B) What is the probability that third patient with heart failure that enters the emergency room is the first one due to outside factors?
First two due to natural occurrences, each with 89% = 0.89 probability.
Third due to outside factors, with 11% = 0.11 probability. So
0.89*0.89*0.11 = 0.0871
0.0871 = 8.71% probability that third patient with heart failure that enters the emergency room is the first one due to outside factors.
C) What is the mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors?
11% with outside factors, so the mean number of patients before the first with outside factors is given by
m = 1/0.11 = 9.09
The mean number of heart failure patients with the condition due to natural causes that enter the emergency room before the first patient with heart failure from outside factors is 9.09.
answer please! i need both answers for both of the questions! help is greatly appreciated!
Plz help mee I am bad at math
it would be option D
Answer:
c. 42 1/12
Step-by-step explanation:
sorry if it's wrong. this was an educated guess
I NEED REAL HELP MATH HELP NEEDED
Answer:
The right answer is the last one! :)
Step-by-step explanation:
Answer: It’s 2, the solution is correct
Step-by-step explanation:
URGENT!!! Find the value of x using the similar trapezoids below.
Answer:
x= 30
Step-by-step explanation:
find the corresponding ratio AD:EH
20:12=5:3
is it constant? yes because 15:9 is also 5:3
if we're trying to find x on the larger side, we do x:18
what divides into 18 to equal 3? 6
we take 6 times 5 =30 so the ratio is now 30:18=5:3 so we know its correct
Please help with these questions!!! Having trouble solving them
Answer: 2y/w-3x
That should be correct
what is 9(p−4)=−18 p=?
Answer:
P=2
Step-by-step explanation:
Use the area of the rectangle to find the area of the triangle. ?
Answer:
C
Step-by-step explanation:
rectangle: 5 × 10 = 50ft²
triangle: ½ × 10 × 5 = 5 × 5 = 25ft²
Need this ASAP please
hopefully that comment helps
please help me if the answer is right i will give u brainlyiest
thanks! <3
Answer:
The first one
Scale factor is 7
x = 3
The second one
Scale factor is 9
x = 99
Step-by-step explanation:
The first one
You can find out by dividing 49 by 7 which is 7
to find x = 21 divided by 7 is 3
The second one
You can find out by dividing 162 by 18 which is 9
to find x = 11 multiplied by 9 (since it is "opposite") is 99
Stefani received a loan for $2,000 and now has acquired $720 in interest. If she pays an annual interest of 4.5% on the amount borrowed. how much time has elapsed since Stefani received the loan?
Answer:
8 years.
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.5%/100 = 0.045 per year,
then, solving our equation
t = 720 / ( 2000 × 0.045 ) = 8
t = 8 years
The time required to
accumulate simple interest of $ 720.00
from a principal of $ 2,000.00
at an interest rate of 4.5% per year
is 8 years.
HELP PLEASE ITS URGENT
What is m
Look at the image above
Answer:
m∠F = 90°
Step-by-step explanation:
By the property of a kite,
"One pair of the opposite angles are congruent"
m∠E ≅ m∠G
m∠E = m∠G = 113°
Sum of the interior angles of a polygon = (n - 2) × 180°
Here, n = number of sides of the polygon
For a kite, n = 4
Therefore, sum of the interior angles of the given kite = (4 - 2) × 180°
= 360°
Therefore, m∠E + m∠F + m∠G + m∠H = 360°
113° + m∠F + 113° + 44° = 360°
m∠F = 360° - 270°
m∠F = 90°
simplify 7/32 over 1/16
Answer:
I’m sorry I don’t know the answer
Step-by-step explanation:
Answer:
7/32/1/6
you separate the fractions
7/32÷1/6
change the division sign to multiplication then you take the denominator up and the numerator down.
7/32×6/1
then multiply
42/32
reduce to the lowest term
21/16
Write the slope-intercept form of the equation of the line using the slope and y-intercept. slope=5 y-intercept=4
Answer:
y=5x+4
Step-by-step explanation:
is this linear or non linear?
x. 0,2,4,6
y. 2,6,18,38
Please help me with this I need this now
Answer:
Correct answer is 27. Upvote it. Welcome.
how many weeks will it take to save for a $3000 dirt bike if you have $500 already and get a weekly allowance o $20?
Answer:
125 weeks
Step-by-step explanation:
3000-500=2500
2500÷20=125
Answer: 125 Weeks
Reason:
3000 - 500 = 2500
2500 / 250 = 125
So 125 will be your final answer.
Can someone help me on this one if possible ⁉️⁉️⁉️⁉️⁉️
Answer:
I cant see it it wont load sorry
Step-by-step explanation: