Answers
Answer:
y = Ce⁻ᵗ − 7
Step-by-step explanation:
dy/dt = -y − 7
dy/dt = -1 (y + 7)
Separate the variables.
dy / (y + 7) = -1 dt
Integrate both sides.
ln│y + 7│= -t + C
Solve for y.
y + 7 = e⁻ᵗ⁺ᶜ
y + 7 = eᶜ e⁻ᵗ
eᶜ is another arbitrary constant, so:
y + 7 = Ce⁻ᵗ
y = Ce⁻ᵗ − 7
Related Questions
3. Which number is a distance of 4 units away from 2 and a distance of 2 units from -4?
HH
-6
-5
-4
-3
-2
-1
0
1
2.
3
4
5
6
Answers
Answer:
-2
Step-by-step explanation:
find QR. 18+x + 2x+23=17
Answers
Step-by-step explanation:
1.) x+2x=17-18-23
2)3x=-24
3)x=. -8
Which of the following rates are proportional to $3.85 per 1 pound? Select all that apply.
HELP STAT
A) 5 pounds for $19.25
B) $7.70 for 2 pounds
C) 4 pounds for $15.10
D) $10.00 for 3 pounds
E) 10 pounds for $38.50
F) $28.75 for 9 pounds
Answers
A:$19.25/5=$3.85
B:$7.70/2=$3.85
E:$38.50/10=$3.85
Boden’s account has a principal of $800 and a simple interest rate of 3.3%. Complete the number line. How much money will be in the account after 4 years, assuming Boden does not add or take out any money?
Answers
for what values of x is x2+2x=24 true?
-6 and -4
-4 and 6
4 and -6
6 and 4
Answers
Answer:
It is actually choice c
Step-by-step explanation:
I took the test
Answer:
c
Step-by-step explanation:
banlest plzz
One-third of a number t is equal to 7.
Write the word sentence as an equation then solve
Answers
Answer:
21
Step-by-step explanation:
One third of the number can be represented by 1/3t.
To make an equation, set this equal to 7.
1/3t = 7
Then, solve for t by dividing each side by 1/3:
1/3t = 7
t = 21
So, the number is 21.
If you have $25 and your friend wants to borrow $18 what percent of your money is he borrowing? *
Answers
Brainliest be good peeps Calculate the missing term in each and for 2 its not 6/7 it cant be okay? thanks tho if you try and get that.
proportion.
2/11= /55
36/42= /
9/ = 21/28
6/9= /15
Answers
Answer:
Step-by-step explanation:
For 2 it is 6/7. 36 and 42 share a common factor, 6. If you divide each one by 6, 36 becomes 6, and 42 becomes 7. So, number 2 is 6/7.
Which of the following angles is not congruent to angle 3
Answers
Answer:
angle 2
Step-by-step explanation:
they aren't equal.
Angle 3 is not equal to angle 2.
What is property of parallel lines?Properties of Parallel Lines Cut by a Transversal
For the parallel lines cut by a transversal, the following properties hold true:
Two lines cut by a transversal line are parallel if the corresponding angles so formed are equal. In general, the corresponding angles are in relative positions and lie along the same side of the transversal.Two lines cut by a transversal line are parallel if the alternate interior angles so formed are equal. In general, the pairs of the alternate interior are found in the inner side but lie on the opposite sides of the transversal.Two lines cut by a transversal line are parallel if the alternate exterior angles so formed are equal. In general, the pairs of alternate exterior angles are found on the outer side but lie opposite each other.As,
angle 3 = angle 1 (Corresponding angle)
angle 3 = angle 6 ( alternate interior angle)
angle 3= angle 8 (vertically opposite angle)
But there is no relation between angle 3 and angle 2.
Learn more about parallel lines here:
https://brainly.com/question/16701300
#SPJ6
Find the probability the next person you meet was born either on a Monday or a Friday.
Answers
Answer:
Probability = 0.2857 (Approx)
Step-by-step explanation:
Given:
Total number of days in a week = 7
Monday or Friday = 2 days
Find:
Probability
Computation:
Probability = Monday or Friday / Total number of days in a week
Probability = 2/7
Probability = 0.2857 (Approx)
True or False
Gross income is the amount of money you earn before taxes
________________________
Net income is after taxes.
________________________
There are 24 pay periods in a year if you are paid monthly.
________________________
Regular or straight time pay is calculated by the hourly rate X hours worked.
___________________________
Piecework is when you are paid for each item of work that you do.
__________________________
Fill in the blank
When I earn extra money based on the amount I sell, this is called____________________________.
Overtime begins when a person works more than _____ hours per week.
Social Security, Federal , and ______________ taxes will be deducted from an employee’s paycheck.
Overtime Pay is an Act covered by ______________________________________________________.
Annual salary is calculated by dividing the salary by _____________________________________.
Answers
Answer:
True
Step-by-step explanation:
Gross income is prior to any deductions, expenses, or other appropriations have been taken out.
2. True
Net income is after taxes
3. False
This would be biweekly if 24 payperiods
4. True
5. True
Fill in blank
1. Commission (I think)
2. 40
3. State
4. Dept of Labor; act is called Fair Labor Standards Act
5. Fair Labor Standards Act
6. if you need to know annual salary, then mulitply your gross income by the number of payperiods in one year, if you need to know your monthly salary then divide the annual salary by 12 to get monthly.
Enter the correct answer in the box.
This graph represents a transformation of the parent cube root function.
Answers
Answer: h is 5 and k is 2
Step-by-step explanation:
The equation of the transformed of the parent cube root function is
y = ∛(x-4) - 1.
How to know if a point lies in the graph of a function?All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
The given graph represents a transformation of the parent cube root function.
The Parent cube root function is
y = ∛(x -h) - k
where the value of h and k is equal to 0
h=0, k=0 in parent function
The graph changes direction at (0,0) in parent function.
From the given graph we can see that the graph changes direction at (4,-1) which means the graph is shifted 4 units to the right and 1 unit down
So, the value of h=4 and value of k=1
The equation of the transformed function,
y = ∛(x-4) - 1
Learn more about points lying on graph of a function here:
brainly.com/question/1979522
#SPJ5
You recently discovered that your job provides a 25% matching towards your retirement.
If you deposit $300 each month into a retirement account with an APR of 8.99%, what
would you type in Excel to find the balance after 30 years?
Answers
Answer:
What is typed in the attached Excel file is =FV(B4,B5,-B3,0,0).
Step-by-step explanation:
Note: See the attached excel file for the calculation of future value of an ordinary annuity.
Since we want to find the balance after 30 years, the function in the Excel is the FV function which is used to calculate the future value (FV) of an ordinary annuity as follows:
=FV(rate,nper,-pmt,0,0) …………………… (1)
rate = Monthly interest rate = APR / 12 = 8.99% / 12 = 0.0899 / 12 = 0.00749166666666667. Note: This is typed in cell B4 in attached excel file.
nper = periods = number of months = 30 years * 12 months = 360. Note: This is typed in cell B5 in attached excel file.
pmt = monthly payment = $300. Note: This is typed in cell B3 in the attached excel file. And also typed as a negative value in cell B7, i.e. as -B3.
pv = present value = 0. Note: This is the first 0 typed in cell B7 in the attached excel file.
type 0 = 0 this is typed to indicate that deposit is made at end of period as a regular or ordinary annuity. This is the second 0 typed in cell B7 in the attached excel file.
Based on the above, the FV function in equation (1) above is converted to the following which is typed in the attached Excel file to find the balance after 30 years:
=FV(B4,B5,-B3,0,0)
The above then gives a future value of $548,080.11 which is the balance after 30 years.
Homer is 30 feet below sea level and Marge is 45 feet above sea level. Bart’s elevation is at the exact midpoint of those two values. What is the expression that model this problem, and which is Bart’s elevation?
Answers
Answer:
14.5 feet
Step-by-step explanation:
the midpoint is halfway from 30 to 45 so be(bart elevation) b.e = 45 - 30 / 2
7.5 m above sea level
__________________________________________________________
Step-by-step explanation:We are given:
The elevation of Homer = -30 feet [30 feet below sea level]
The elevation of Marge = +45 feet [45 feet above sea level]
The elevation of Bart is at the exact mid-point of the elevations of Homer and Marge
The elevation of Bart:
We are given that the elevation of Bart is at the exact mid-point of the elevations of Homer and Marge
So, Half the distance between the elevation of Homer and Marge is the elevation of Bart
Elevation of Bart (with respect to the elevation of Homer) =
(elevation of Marge - Elevation of Homer) / 2
replacing the variables with the suitable values:
(+45 - (-30))/2
(45 + 30) / 2
75 / 2
Elevation of Bart (w.r.t. Homer) = 37.5 feet
Since this is the elevation of Bart with respect to Homer, we can say that Bart is 37.5 m above Homer
So, we can say that:
Elevation of Bart (w.r.t Homer) = Elevation of Bart - Elevation of Homer
replacing the values
37.5 = Elevation of Bart -(-30)
37.5 = Elevation of Bart + 30
Elevation of Bart = 7.5 m above sea level [subtracting 30 from both sides]
Answer this math question and ill give brainliest
Answers
Answer:
6 squares!
Hope this helped! :)
What is the Greatest Common Factor of 12 and 28
O2
3
06
4
Answers
Answer:
The GCF of 12 and 28 is 4.
Step-by-step explanation:
hope this helps
The factors of 12 are: 1, 2, 3, 4, 6, 12
The factors of 28 are: 1, 2, 4, 7, 14, 28
Answer:
The GCF is 4.
Step-by-step explanation:
When do you draw a hole in a piecewise function?
Answers
Answer:
you just draw a circle indicating that it is a hole. Your welcome
Find three consecutive odd integers such that the sum of the first and the third is 34,
HURRY PLEASE
Answers
Answer:
15,17,19
Step-by-step explanation:
assume the first number is X which means the third number will be X+4 so X+ X+4=34
solve for X which will be 15
thus the numbers are 15,17 and 19
(8,9), X + 8y = 9
Help me please
Answers
Answer:
slope of -1/8
and it crosses:
(3,5)
.
Plug the above data into the "point-slope" form:
y - y1 = m(x - x1)
y - 5 = (-1/8)(x - 3)
y - 5 = (-1/8)x + 3/8
y = (-1/8)x + 3/8 + 5
y = (-1/8)x + 3/8 + 40/8
y = (-1/8)x + 43/8
Step-by-step explanation:
?
PLS HELPPPP MEEE
(explain ur answer)
Answers
Answer:
(4). is the correct answer
Step-by-step explanation:
(- 3, 1, 1)
(1). - 3 - 1 - 1 ≠ - 2 not an answer...
(2). - 3 - 1 + 3(1) ≠ 2 not an answer...
(3). 4( - 3) + 1 - 3(1) ≠ - 4 not an answer...
(4). 2(- 3) + 3(1) + 4(1) = 1
3(1) + 3(1) = 6
- 3 = - 3(1)
In the graph above what is the average speed for the object?
a. 0.4m/s
b. 2.5m/s
c. 3m/s
d. 0.8m/s
Answers
Answer:
c
Explanation:
Just because
Which of the restricted domains will produce an inverse function for tangent ?
X=-pi, x= pi
X=-pi/2, x=pi/2
X=0, x=pi/2
X=0, x=2pi
Answers
Answer: B) x=-pi/2 , x=pi/2
Step-by-step explanation:
Just did it!
Answer:
B
Step-by-step explanation:
Edge 2020
2. Here are some unfinished calculations. Complete them to find each difference.
Answers
If you add 1 more side to a triangle, you would have a: a.)pentagon. b.)quadrilateral. c.) hexagon
Answers
Answer:
quadratial
Step-by-step explanation:
helppp me please i’m going to fail
Answers
-10x+2y=-14
-3x-2y=-12
——————-
-13x=-26
Divide both by -13
x=2
34 + 10 + 100 = 12 x 12 Is this correct?
Answers
Answer:ig so
Step-by-step explanation:34+10+100=144
12x12=144 same thing
Answer:
yes
Step-by-step explanation:
i guess
The following statements as true or false.
a. m23 + m25 = 180
b. m22 + m26 = 180
C. m28 = m_1
Which ones are true and false plzzzzz this is urgent
Answers
Answer:
True
False
True
Step-by-step explanation:
Interior angles are supplementary
Corresponding angles makes mangle2 and mangle6 the same deg
mangle1 = mangle5 (corresponding angles)
mangle5 = mangle8 (vertically opposite angles)
what's the distance between (2,10) and (-6,6)
Answers
Answer:
4
Step-by-step explanation:
Answer:
sqrt of 80 , or 8.944272 rounded to the nearest tenth would be 8.9
Step-by-step explanation:
use formula:
d= sqrt(x2−x1)^2+(y2−y1)^2
I WILL GIVE YOU 20 POINTS AND THE BRAINLYEST
all of the points in the picture are on the same line.
Find the slope on the like exain or show your reasoning
write and equation for the line.
find the values for A and B. Explain your reasoning.
Answers
Answer/Step-by-step explanation:
✍️Slope of the line using two points, (2, 2) and (6, 10),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2 [/tex]
✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).
Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.
2 = (2)(2) + b
2 = 4 + b
2 - 4 = b
-2 = b
b = -2
Substitute m = 2 and b = -2 in y = mx + b.
✅The equation would be:
[tex] y = 2x + (-2) [/tex]
[tex] y = 2x - 2 [/tex]
✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.
[tex] 8 = 2(a) - 2 [/tex]
[tex] 8 = 2a - 2 [/tex]
Add 2 to both sides
[tex] 8 + 2 = 2a [/tex]
[tex] 10 = 2a [/tex]
Divide both sides by 2
[tex] \frac{10}{2} = a [/tex]
[tex] 5 = a [/tex]
a = 5
✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.
[tex] b = 2(4) - 2 [/tex]
[tex] b = 8 - 2 [/tex]
[tex] b = 6 [/tex]
Richmond High School purchased 90 graphing calculators for $110
each. The school received a manufacturer's rebate of $10 per
calculator. After the rebate, what was the total cost of the
calculators?
Answers
Answer:
$9000
Step-by-step explanation:
110 x 90 = 9900
90 x 10 = 900
9900 - 900 = 9000