Answer:
2. dM/dt = -0.11M
Step-by-step explanation:
Differential equations for proportional amouts:
A differential equation for proportional amounts is given by:
[tex]\frac{dx}{dt} = ax[/tex]
In which a is the constant rate. If the amount increases, a is positive. If it decays, b is positive.
In this question:
Decays, so a < 0.
Proportional to the amount of the substance present at a given time, which means that a multiplies the amount M.
This means that the correct answer is given by option 2.
State the relationship between the graphs of f(x) and g(x).
-5
5
X
X
a.
fand g are reflections of each other about the y-axis.
b. f and g are reflections of each other about the x-axis.
C. g is shifted to the left 5 units relative to f, otherwise they are the same.
d. g is shifted to the right 5 units relative to f, otherwise they are the same.
Answer:
B
Step-by-step explanation:
Calculated
As per the data, f and g are reflections of each other about the y-axis. The correct option is A.
What is graph?To graph is to create a diagram that depicts a relationship between two or more things. A graph can be made by drawing a series of bars on graph paper.
A graph (also known as an undirected graph to distinguish it from a directed graph or a simple graph to distinguish it from a multigraph) is a pair G = (V, E), where V is a set with vertices (singular: vertex) and E is a set of paired vertices with edges.
The relationship between the graphs of f(x) = -5/x and g(x) = 5/x is that they are reflections of each other about the y-axis.
To see this, note that replacing x with -x in f(x) gives f(-x) = -5/(-x) = 5/x, which is the same as g(x). Therefore, the graphs of f(x) and g(x) are symmetric with respect to the y-axis.
Thus, the correct option is A.
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Your question seems incomplete, the probable complete question is:
State the relationship between the graphs of f(x) and g (x)
f(x) = -5/x, g )x) 5/x
a. f and g are reflections of each other about the y-axis.
b. f and g are reflections of each other about the x-axis.
c. g is shifted to the left 5 units relative to f, otherwise they are the same.
d. g is shifted to the right 5 units relative to f, otherwise they are the same.
7n - 4 (8n+4) = 159
Answer:
n = -7
Step-by-step explanation:
Use distributive property:
7n - 32n - 16 = 159
Combine like terms
-25n - 16 = 159
Add 16 to both sides to isolate variable n
-25n = 175
Divide both sides by -25 to isolate variable n
n = -7
Check your work:
7(-7) - 32(-7) - 16 = 159
-49 + 224 - 16 = 159
159 = 159
Plz help this if you want points
Answer:
First Question:
A) -15+20x B) 36x+28
Second Question:
-10/5, 1/25, 1/2, 3/5, 5/8
PLEASE HELP!! 100 POINTS Will mark brainliest.
Answer:
m∠1 = mCD = 40°m∠2 = 1/2(mAB) = 1/2*30° = 15°m∠3 = 1/2(mED) = 1/2*50° = 25°m∠4 = 1/2(mAB + mDE) = 1/2(30°+50°) = 40°m∠6 = m∠OEG - m∠DEG = 90° - 1/2(mDE) = 90° - 25° = 65°m∠7 = 1/2(mCD + mDE) = 1/2(40°+50°) = 45°m∠8 = 1/2(mCD + mDE - mAB) = 1/2(40° + 50° - 30°) = 30°m∠10 = 1/2mAE = 1/2(180° - mDE) = 1/2(180° - 50°) = 65°Answer:
hope this help you. look it once.
HELP find the area of the triangle I’ll mark brainest
Answer:
31.5 units.
Step-by-step explanation:
Area = BC * distance from BC extended to A/2
A to BC extended and the line is vertical from A to BC extended = 7+2 units
A to BC extended and the line is vertical from A to BC extended = 9 units This becomes the height
h = 9 units
BC = 7 units
Area = 1/2 * h * BC
Area = 1/2 * 9 * 7
Area = 1/2 * 63
Area = 31.5
Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes. Which ratio of cups of sugar to cupcakes is equivalent to Mariana's recipe?
Answer:
2:12
Step-by-step explanation:
The ratio of cups of sugar to cupcakes is equivalent to 1:6.
Given that Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes.
What is the ratio?The ratio is the comparison of two quantities. It is generally represented by a fraction.
2 cups of sugar: 12 cupcakes = 2:12
2:12 = 2/12 =1/6 =1:6
So, the ratio of cups of sugar to cupcakes is equivalent to 1:6.
Therefore, the ratio of cups of sugar to cupcakes is equivalent to 1:6.
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The diameter of a circular plate is 12 inches. What is the area of the plate? Round your answer to the nearest tenth of a square inch.
Answer:
Plate Area = PI * radius^2
Plate Area = 3.14159 * 6 * 6
Plate Area = 113.09724 square inches
Plate Area = 113.1 square inches (rounded)
Step-by-step explanation:
Please help me out!! :)
Answer:
3/4
Step-by-step explanation:
Tangent is opposite/adjacent
Therefore, 6/8 would be the answer which simplifies to 3/4.
Need help ASAP!!!
Solve for the missing angle.
Answer:
D 56
Step-by-step explanation:
cos x = 5/9
x = 56°
have a great day
Please help me out with this!
Answer:
X=9.8
Step-by-step explanation:
Sin=opposite/hypotenuse
Sin33=x/18
X=18sin33=9.8
What is the C term in this problem: x^2+3x+2
Answer:
2
Step-by-step explanation:
Cuz the form is Ax^2 + bx + c
A = 1 (imaginary)
B = 3
C = 2 (same as y-intercept)
1. −5tan 2 θ+3=8tanθ+6
2. 2cosθ-3=5cosθ-5
Answer
(tan x + 3)=5
Step-by-step explanation:
How can you Divide the number 30 into 4 equal parts? Or can you?
Answer:
7.5
Step-by-step explanation:
thirty divided by 4 is 7.5 or 7 1/2
Answer:
That might be possible though.
Step-by-step explanation:
If you divide 30 by 7.5, you'll get 4. With any other number, you'll get 3,10,6,5,1, and 30. If you use a decimal, it might be possible it'll give you the answer you wanted.
What is a decimal that is equivalent to the fraction 44/100
Answer:
0.44
Step-by-step explanation:
44/100 as a decimal is 0.44.
Hope this helped!!!
The decimal equivalent to the fraction 44/100 is 0.44.
We have,
To find a decimal equivalent to the fraction 44/100, we can simply divide the numerator (44) by the denominator (100):
44 ÷ 100 = 0.44
The concept used to find the decimal equivalent of a fraction is division.
By dividing the numerator by the denominator, we obtain the decimal representation of the fraction.
Therefore,
The decimal equivalent to the fraction 44/100 is 0.44.
Learn more about expressions here:
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B
15. x =
106
(10x -23)
D
9514 1404 393
Answer:
x = 15
Step-by-step explanation:
Chords equidistant from the circle center subtend the same arc measure. The sum of the three arcs of the circle is 360°, so you can write the relation ...
2(10x -23)° +106° = 360°
2(10x -23) = 254 . . . . . . . . divide by °, subtract 106
10x -23 = 127 . . . . . . . . . divide by 2
10x = 150 . . . . . . . . . . add 23
x = 15 . . . . . . . . . . . divide by 10
What is the decay factor in the exponential decay function y=a(1−r)^t
Answer:
(1 - r)Step-by-step explanation:
Given function:
y = a (1−r)^tHere we have:
y - future value, a- present value, (1 - r) - decay factor, t- number of decay periodsBob the builder eat no fewer then three donuts. What is the inequality?
Answer:
3
Step-by-step explanation:
I think
Answer:
less than or equal to 3
Step-by-step explanation:
what is the equation of a line that passes through 2,-3 with a slope of 2/3
Answer:
y=2/3x-13/3
Step-by-step explanation:
this is the equation
John is 3 years older than Susan and khalid is 5 years younger than her . The sum of their ages is 40 .
Find their ages.
Answer:
John is 17,
Susan is 14,
and Khalid is 9.
Step-by-step explanation:
a = John's age
b = Susan's age
c = Khalid's age
Let's set our rules from the given information.
a = b + 3
c = b - 5
a + b + c = 40
Now, we can solve for b through substitution.
(b + 3) + b + (b - 5) = 40
3b - 2 = 40
3b = 42
b = 14
So, now that we have Susan's age, we can follow the rules and see if it holds.
17 + 14 + 9 = 40 Viola!
Kepa has the flu, and he is concerned that he will not pass the mathematics exam. If the following three statements are true, will Kepa pass the exam?
i) Kepa will not fail the mathematics exam if he finishes his computer program.
ii) If he goes to the theatre, he does not have the flu.
iii) If he does not go to the theatre, he will finish his computer program
Answer:
Yes
Step-by-step explanation:
II is already false because Kepa can only go to the theatre if he doesn't have the flu. However, he does, so he cannot go. Then, if Kepa cannot go to the theatre, he will have to finish his computer program. Lastly, if the computer program is finished, Kepa will at least pass the exam.
Answer:
yes, if the computer program he will pass. he shouldn't go to the theatre if he has the flu or not cause hes been sick either way.
What shape is always classified as a rectangle?
Really stumped on these 2 problems anybody know anything? "Find the circumference of each circle. Round to the nearest tenth. Use 3.14 or 22/7 for π"
Answer:
1. 15.7 in
2. 153.9 cm
Step-by-step explanation:
The circumference of a circle is found by the formula:
C = 2 * pi * r, where r represents the radius.
For the first circle, we substitute in 3.14 for pi and the given radius:
C = 2 * 3.14 * 2.5
C = 15.7 in
However, for the second circle, the diameter is given instead of the radius.
As the radius is just half of the diameter, we can find that it is 24.5 cm.
Substituting the values in, we get:
C = 2 * 3.14 * 24.5
C = 153.86 cm
Rounding to the nearest tenth gives us:
153.9 cm
Make sure to use the correct units for each question.
Une coopérative vend un important lot d’œufs de trois tailles différentes.
20 % des œufs sont petits, 50 % sont moyens et 30 % son gros.
Les œufs sont de deux qualités : - « extrafrais » car pondus depuis moins de 9 jours ;
- « frais » car pondus entre 10 et 28 jours plus tôt.
On a remarqué que : ▪ 80 % des petits œufs sont extrafrais ;
▪ 50 % des œufs moyens sont extrafrais ;
▪ 20 % des gros œufs sont extrafrais.
Dans ce lot, on prélève un œuf au hasard et on note sa taille puis sa qualité.
On nomme respectivement P, M et G les événements « l’œuf choisi est petit », « l’œuf choisi est
moyen » ; « l’œuf choisi est gros » et on appelle E l’évènement « l’œuf choisi est extrafrais ».
1) Construire l’arbre de probabilité traduisant la situation.
2) Quelle est la probabilité d’obtenir : a. un petit œuf extrafrais ? b. un petit œuf frais ?
3) Quelle est la probabilité de choisir un œuf extrafrais ?
Aide moi svp
Answer:
546EEergh
Step-by-step explanation:
455/4355
I dont understand
NOOOOO LINKSSSSSS
Answer: 4.40
Step-by-step explanation: 10 divided by 4 is 2.5 and 2.5 times 4.40=11
so 4.40x2.5=11
> Less
All changes saved
12. A brand-new music service is offering specials on individual song downloads. The cost is $0.74 for each
song up to 20 songs per month, and the cost doubles to $1.48 per download for any number of downloads
over 20. How much would it cost to download 28 songs?
> Less
> Less
Answer:
Downloading 28 songs will cost $26.64.
Step-by-step explanation:
Given that a brand-new music service is offering specials on individual song downloads, and the cost is $ 0.74 for each song up to 20 songs per month, and the cost doubles to $ 1.48 per download for any number of downloads over 20, to determine how much would it cost to download 28 songs the following calculation should be performed:
(20 x 0.74) + (8 x 1.48) = X
14.8 + 11.84 = X
26.64 = X
Therefore, downloading 28 songs will cost $ 26.64.
In a class test (+ 5) marks are given for every correct answer and (–2) marks are given for every incorrect answer and no marks for not attempting any question.
(i) Rayan scored 30 marks. If she has got 10 correct answers, how many questions has she attempted incorrectly?
(ii) Riya scores 44 marks by attempting 13 questions. How many questions has he attempted correctly and how many has he attempted incorrectly?
OK ITS OK IM GOD CALM DOWN
Answer:
Step-by-step explanation:
(1)
If she got 10 answers right, she got 5 * 10 = 50 marks before anything was deducted.
Since she wound up with 30 marks, she lost 50 - 30 = 20 marks. If you don't feel comfortable with this, call it -20
Each incorrect answer cost her -2 marks.
Divide -20 /-2 = 10
She has answered 10 questions incorrectly.
(ii)
5x - 2y = 44
x + y = 13 Multiply this equation by 2
2x + 2y = 26
Rewrite the first and third equations
5x - 2y = 44
2x + 2y = 26 Add
7x = 70 Divide by 7
x = 70/7
x = 10
So 10 questions were answered correctly
x + y = 13
10 + y = 13
y = 3
Answer
10 were answered correctly
3 were answered incorrectly
What is the sum?
3
4
3x+4
****
О.
3x+4
o
7
xxx
HELP please 52 minutes left !!!!!!
Answer:
c. [tex] \frac{3x + 4}{x^2} [/tex]
Step-by-step explanation:
Given:
[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]
Required:
The sum
Solution:
[tex] \frac{3}{x} + \frac{4}{x^2} [/tex]
Common denominator is x².
Therefore, divide x² by the denominator of each fraction and multiply by each of its denominator.
Thus, we would have:
[tex] \frac{3x + 4}{x^2} [/tex]
You toss a coin 15 times. P( heads) 2/5=
A school sold tickets to a musical. The school received $6.50 per ticket sold.
Select the ordered pairs that represent possible combinations of the number of tickets sold and the corresponding total amount of money the school would have received from selling the tickets, if this relatioship was graphed on a Coordinate Plane.
Select all that apply.
A.) 0, 0.00
B.) 2, 13.00
C.) 4, 24.00
D.) 10, 65.00
E.) 12, 68.00
No links plz
Answer:
A B D
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
hope this helps :))))
Tom has finished 75% of a 12 mile run. How many miles has he run so far?
Answer: Tom has run 9 miles so far
Step-by-step explanation:
3/4 of 12 if equal to 9
Answer:
9 miles
Step-by-step explanation:
3 is 25 percent of 12.
to figure out how much he runs in 755 of two miles you multiply 3x3=9.
