In the model for exponential growth or decay, the amount, or size, at t=0 is represented by [tex]N=N_{0}[/tex]. and at time t is represented by [tex]N=N_{0}e^{kt}[/tex]
Let us consider that [tex]N_{0}[/tex] is the initial amount and N is represent that amount after growth or decay in time t .
Model for exponential growth or decay is,
[tex]N=N_{0}e^{kt}[/tex]
Amount at t=0 is,
[tex]N=N_{0}e^{k*0}=N_{0}[/tex]
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why is the world so bad
Answer:
because humans are being evil to mother nature
Answer:
cOrOnAvIrUs
Step-by-step explanation:
Susan's weekly earnings were proportional to the number of hours she worked. This table shows the number of hours Susan worked and
the amount she earned.
Hours
Earnings ($)
5
$57.50
7
$80.50
9
$103.50
11
$126.50
How much money did Susan earn per hour?
Susan earns $11.50 per hour.
The correct answer is option (D).
What is rate in mathematics?"It is the ratio or comparison of two related quantities."
What is proportional in mathematics?"When one quantity is proportional to other quantity, this means with increase in the values of first quantity there is equal increase/decrease in the values of second quantity."
For given situation,
Susan's weekly earnings were proportional to the number of hours she worked.
From given table, we can observe that with increase in the number of hours Susan worked, there in increase in the weekly earnings.
This means, Susan's weekly earnings are directly proportional to the number of hours she worked.
We need to find the amount of money she earn per hour, i.e., to find the ratio of her total earnings and total hours she worked.
Let S represents Susan's total earning and T represents the total number of hours she worked.
⇒ S = 57.50 + 80.50 + 103.50 + 126.50
⇒ S = 368
And T = 5+ 7 + 9 + 11
⇒ T = 32
Now we find the required ratio,
S/T = 368/T
⇒ S/T = 11.5 dollar per hour
Therefore, Susan earn $11.5 per hour.
Hence, option (D)$11.50 is the correct option.
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17) A dog kennel charges $40 per night for boarding
and $5 for walking your dog.
a) Write an equation in standard form that models the
possible combinations if you plan to spend $200.
b) Graph the equation using x and y intercepts.
I
11
10
5
1 3 4 5 6 7 8 9 10 11 12 13
c) List all combinations that can be used.
Answer:
c
Step-by-step explanation:
PLS ANSWER DKSKXJ<33
[tex] \frac{7 + 2x}{3} = 5[/tex]
Answer:
x is 4 I think
Step-by-step explanation:
I'm not sure I might be wrong
I NEED HELP PLEASE HELP ME
Answer:
2
Step-by-step explanation:
In
△
L
M
N
,
△LMN,
∠
M
≅
∠
L
,
∠M≅∠L,
L
M
=
7
LM=7 and
N
L
=
16
NL=16. Find the length of
M
N
.
MN.
Answer:
M=12
Step-by-step explanation:
The required length of MN in the given triangle LMN is 16 units.
What is a triangle?A polygon with three vertices, angles and sides is called a triangle.
Given that, a triangle △ LMN, where, ∠ M ≅ ∠ L, LM = 7 and LN = 16
Since, ∠ M ≅ ∠ L
Therefore, MN ≅ LN
By the postulate :-
Sides opposite to congruent angles of a triangle are also congruent.
Therefore,
MN = LN
Since, LN = 16
Therefore, MN = 16 [By transitive property]
Hence, the required length of MN in the given triangle LMN is 16 units.
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Helllllppppppp me please!!!!!
Answer:
[tex]\boxed {y = \frac{4}{3} + 1}[/tex]
Step-by-step explanation:
Since you already have the slope and the y-intercept, use it to make a Slope-Intercept Form by using this formula:
[tex]y = mx + b[/tex]
Slope: [tex]m[/tex]
Y-intercept: [tex]b[/tex]
-Substitute:
Slope: [tex]\frac{4}{3}[/tex]
Y-intercept: [tex]1[/tex]
[tex]\boxed {y = \frac{4}{3} + 1}[/tex]
Graph the line with the equation y = -x - 1.
that is what the line will look like.
This is a straight line. We only need 2 points to graph a straight line.
Let x = 0
y = -(0) - 1
y = -1
Our first point is (0,-1).
Let x = 1
y = -(1) - 1
y = -2
Our second point is (1,-2).
See attachment for graph.
Use interval notation to express the set of real numbers $x$ that satisfies the inequality $-2 \leq x < 5$.
Answer:
[-2, 5)
Step-by-Step Explanation:
The solution set of the given inequality {x ;-2 ≤ x < 5} will be; [-2, 5).
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
Given that the inequality y = {x ; -2 ≤ x < 5}
WE are asked to find the solution set for the given inequality;
⇒ y={x ; -2 ≤ x < 5} i.e domain= [-2, 5)
⇒y=x ∀ x ∈ [-2, 5)
The solution of the given inequality;
x ∈ [-2, 5)
Therefore, The solution set of the given inequality {x ;-2 ≤ x < 5} will be; [-2, 5).
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PLEASE HELP QUICK WILL GIVE BRAINLIEST
Answer:
Asymptote: y = 4
Domain: All positive real numbers x > 0
Range: 0 [tex]\leq \\[/tex] y [tex]\leq \\[/tex] 4
Zero: Root at zero
x-intercept: at zero
y-intercepts: none
f(1)= 2
f(9)= 3
Step-by-step explanation:
∠13 and angle _____ are congruent?
a.) ∠9 O
b.) ∠15 E
Answer:
Angle 13 and Angle 9 are congruent.
Identify the slope of the equation: y = 5x + 2 A. 4 B. 2 C. 7 D. 5
Answer:
5
Step-by-step explanation:
This equation is in y = mx + b form, or, the standard form of a line.
m represents the slope, and b represents the y-intercept. No b means that the y-intercept is 0.
box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box (in cm) that minimize the amount of material used. sides of base
Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
Sale price $9,450 sale tax rate 8%
Answer: 10,206
Step-by-step explanation: 9,450x0.08 = 756 + 9,450
Answer:
8694
Step-by-step explanation:
9450x0.08=756
9450-756=
The perimeter of parallelogram ABCD is 46 inches.What is DA?
3in
4in
8in
19in
Please help ASAP no rocky
Answer:
3
Step-by-step explanation:
Triangle abc is isosceles. Measure of angle a=3x+40, Measure angle c=x+50. Measure of angle a = degrees
Answer: the answer is 55°
Step-by-step explanation:
You equal the equations out and the number you get from doing that is the fill in for x and the you solve one of the equations replacing x with the number gotten
What is the surface area of a rectangular prism that measures 10 in x 6 in x 4 in?
Answer: 240 in
Step-by-step explanation: 10 x 6 x 4 = 240 in
I hope that helps
The quantities x and y are proportional. Y 3 30 10 100 16 160 Find the constant of proportionality (r) in the equation y = rx.
r =
Answer:
10
Step-by-step explanation:
1 / 3
What times x gives us y?
Hint 2 / 3
If we multiply each x-value by 10
we get to each corresponding y-value:
y=10x
The constant of proportionality is y= r x is 10
Answer:
The answer is 10
Step-by-step explanation:
One pound of candies costs $3.50.
How much will we have to pay for 4.5 lb?
Answer:
$15.75
Step-by-step explanation:
Multiply the cost of one pound, 3.50 times how many we want, 4.5
3.5×4.5=15.75
Answer: $15.75
Step-by-step explanation:
3.5 x 4.5 = 15.75
Which graph represents the function y = cos(4x)?
Answer is graph B
Answer:
Step-by-step explanation:
Let the equation of the cosine function is,
y = Acos(Bx)
From the graph attached,
A = Amplitude = [tex]\frac{1-(-1)}{2}[/tex]
= 1
B = [tex]\frac{2\pi}{\text{Period}}[/tex]
B = [tex]\frac{2\pi}{\frac{\pi}{2}-0}[/tex]
B = [tex]\frac{4\pi}{\pi}[/tex]
B = 4
Therefore, equation of the cosine wave given in the graph will be,
y = 1.Cos(4x)
y = Cos(4x)
Answer:
B
Step-by-step explanation:
Now there is a door whose height is more than its width by 6 chi 8 cun. The distance between the [opposite] corners is 1 zhang. Find the height and width of the door.NOTE: 1 zhang
Complete question is;
Now there is a door whose height is more than its weight by 6 chi 8 cun. The distance is between the opposite is corners is 1 zhang. Find the height and width of the door.
Note: 1 zhange = 10 chi = 100 cun. Give your answers in units of chi and cun.
Answer:
h = 9 chi 6 cun
w = 2 chi 8 cun
Step-by-step explanation:
Let the height be h and width be w.
Now, we are told that height is more than its weight by 6 chi 8 cun.
Thus,
weight = height - 6 chi 8 cun
Let's convert 6 chi 8 cun to chi for easy calculation.
Since 100 cun = 10 chu
Then 8 cun = 8 × 10/100 = 0.8 chi
Thus 6 chi 8 cun = 6 chi + 0.8 chi = 6.8 chi
Thus;
Height is h
Width is (h - 6.8) chi
Now, we are told that the distance between the corners is 1 zhang = 10 chi
Distance between corners is the diagonal of the door.
Thus, the height, width and diagonal con form a right angle triangle which can be solved by Pythagoreas theorem.
Thus;
h² + w² = 10²
Plugging in (h - 6.8) for w, we have;
h² + (h - 6.8)² = 100
h² + h² - 13.6h + 46.24 = 100
2h² - 13.6h + 46.24 - 100 = 0
2h² - 13.6h - 53.76 = 0
Using quadratic formula, we have;
h = 9.6 chi
Converting 0.6 chi to cun gives;
0.6 × 100/10 = 6 cun
Thus, h = 9 chi 6 cun
Since w = (h - 6 chi 8 chun)
Then, w = 9 chi 6 cun - 6 chi 8 chun = 2 chi 8 chun
Two cars head toward each other from opposite ends of a freeway 2286 miles long. If the speed of the first car is 68 miles per hour and the speed of the second car is 59 miles per hour, how long will it take before the cars pass each other? hours
Answer:
Step-by-step explanation:
multiply 68*59
Pentru cei 22 de elevi din echipa de fotbal a școlii au fost cumpărate tricouri, unele mărimea M și altele mărimea S. Un tricou mărimea M costă 72 de lei, iar cel mărimea S costă 54 de lei. Dacă s-a plătit în total suma de 1458 de lei, atunci s-au cumpărat
tricouri mărimea M și
tricouri mărimea S.
Answer:
Hola senor
Step-by-step explanation:
Solve for m v2 =3P/mn
Answer:
[tex]m=\frac{3P}{v^2n}[/tex]
General Formulas and Concepts:
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
[tex]v^2=\frac{3P}{mn}[/tex]
Step 2: Solve for m
Multiply both sides by mn: [tex]v^2mn=3P[/tex]Divide both sides by v²: [tex]mn=\frac{3P}{v^2}[/tex]Divide both sides by n: [tex]m=\frac{3P}{v^2n}[/tex]You deposit $200 in an account. The account earns $15 simple interest in 3 years. What is the annual interest rate?
Answer:
200=15*3(4.4%) tis 4.4%
Step-by-step explanation:
I WILL GIVE 175 POINTS TO ANYONE WHO HELPS ON ALL QUESTIONS
1. Write an equation in Slope-Intercept Form for a line that passes through (2, 2) and (0, 3).
2. Write an equation in point slope and slope-intercept that includes the points (0, 0) and (9, -3).
3. Write an equation in point-slope form that describes the line with a slope of 2 that contains the point (4, -3)?
4. A landscape service charges customers a one-time fee and an hourly rate of $15. For 3 hours of work, the company charge $75. 4. Write an equation in point-slope form. 5. How much does the landscape service charge for 12 hours of work?
5. A computer programmer charges $45 an hour for coding projects plus a start-up fee of $150. 6. Write an equation in standard form to represent the total cost t of a project that takes h hours. 7. How much does the programmer charge for a coding project that takes 25 hours?
6. Write an equation in slope-intercept form for a line that passes through the point (-4 , 3) and is parallel to the line 푦 = 5푥 + 2.
7. Write an equation in slope-intercept form for a line that passes through the point (6 , 4) and is perpendicular to the line 푦 = − 3 2 푥 − 4.
Answer:
--No answers here, just an additional question---
Question:
What in the heck is this : 푦
If an AaBbccDd individual is crossed to a AaBbCcDD individual, what is the probability that the first offspring will be of AabbccDd genotype?
Answer:
The probability that the first offspring will be of AabbccDd genotype is 0.03125.
Step-by-step explanation:
The parents genotype are: AaBbccDd and AaBbCcDD.
Aa and AaA a
A AA Aa
a Aa aa
P (Aa) = 2/4 = 1/2
Bb and BbB b
B BB Bb
b Bb bb
P (bb) = 1/4
Cc and ccc c
C Cc Cc
c cc cc
P (cc) = 2/4 = 1/2
Dd and DDD d
D DD Dd
D DD Dd
P (Dd) = 2/4 = 1/2
Then the probability that the first offspring will be of AabbccDd genotype is:
P (AabbccDd) = (1/2) × (1/4) × (1/2) × (1/2) = 1/32
Thus, the probability that the first offspring will be of AabbccDd genotype is 0.03125.
ΔXYZ was reflected to form ΔLMN. Triangle X Y Z is reflected to from triangle L M N. Angle Z Y X is 86 degrees and angle Y X Z is 38 degrees. Angle L N M is 56 degrees and angle N M L is 86 degrees. Which statements are true regarding the diagram? Check all that apply.
Answer:
A,B,C and F
Step-by-step explanation:
i just took the assignment
Answer:
a,b,c,f
Step-by-step explanation:
edg 2021
Which statement is true about this radical function?
[tex]f(x)=3\sqrt[3]{- x} +2\\[/tex]
A.
The function is strictly increasing.
B.
The function is strictly decreasing.
C.
The function is increasing and decreasing.
D.
The function is constant.
Answer:
B. the function is strictly decreasing.
Step-by-step explanation:
Just took the test on Plato.
Answer:
The function is strictly decreasing.
Step-by-step explanation:
Plato/Edmentum
Which ordered pair is a solution to the equation y=5x-25?
(12,50)
(5,10)
(2,25)
(10,25)
Answer:
I'm not sure but i think it is D
