Need help #1. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answers
Answer:
B
Step-by-step explanation:
We are given that x and y are functions of time t such that x and y is a constant. So, we can write the following equation:
[tex]x(t)+y(t)=k,\text{ where $k$ is some constant}[/tex]
The rate of change of x and the rate of change of y with respect to time t is simply dx/dt and dy/dt, respectively. So, we will differentiate both sides with respect to t:
[tex]\displaystyle \frac{d}{dt}\Big[x(t)+y(t)\Big]=\frac{d}{dt}[k][/tex]
Remember that the derivative of a constant is always 0. Therefore:
[tex]\displaystyle \frac{dx}{dt}+\frac{dy}{dt}=0[/tex]
And by subtracting dy/dt from both sides, we acquire:
[tex]\displaystyle \frac{dx}{dt}=-\frac{dy}{dt}[/tex]
Hence, our answer is B.
Answer:
Let x and y be functions of time t such that the sum of x and y is constant.
(B) is the right answer
Related Questions
A company's international marketing group asked the following question to residents of 50 countries: "What has been your experience with American products?" 1) Below Average 2) Average 3) Above Average 4) Good to Excellent
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Answer:
4) Good to Excellent
The function h(t)= -16t2+ 8t+ 4 models the height of a ball over time as it bounces off the edge of a table.
Answers
Answer:
try 1/4
Step-by-step explanation:
5 + 11y + 9 what is the answer
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Answer: 11y+14
Step-by-step explanation:
8. Willow earns $10 per hour working part-time at a diner. Write and solve an inequality to determine
the number of hours, h, Willow must work in a week in order to earn more than $200. Then interpret
the solution.
Willow must work
hours this week.
Answers
Answer:
10h=200
h=20
Step-by-step explanation:
10h=200
10h/10=200/10
h=20
Multiply the number of hours worked (h) by earnings per hour $10 to get
10h
This needs to be more than ( Greater than) 200
Now you have 10h > 200
Solve for h by dividing both sides by 10:
h >20
This means she needs to work more than 20 hours this week.
19 ≥ 3f+1 ≥5 pls help
Answers
Answer:
Hi...u should do like this
18>3f>4
6>f>4/3
1 When y= 35, x = 22. If the value of y
varies directly with x, what is the value of y
when the value of x is 3 ?
A 113 C 227
B 26 13 D 45 1
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Answer:
Step-by-step explanation:
22/35
Solve the system by substitution.
3r + y = 5
5x – 4y = -3
The solution is?
Answers
Please help!!! Will give brainliest!!!
Answers
Answer:
a = 2
b = 1
c = -6
Step-by-step explanation:
Distribute and then combine like-terms.
$200 at 6% for 10 years find the interest and find the balance of the account
Answers
Answer:
358
Stefffffffffffffffffffffffffffp-by-step explanation:
Lin runs 5 laps around a track in 8 minutes.
a. How many minutes does it take to run 1 lap?
b.
How many laps did Lin run in 1 minute?
Please hurry
Answers
Answer:
1.2 minutes, hope this helps (owo)/
Step-by-step explanation:
They got the 1.2 minutes by taking the total number of minutes (6) and dividing them by the number of laps run (5). So 6 divided by 5 gives you the 1.2.
my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)
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Simplify 18.1 - 1.1(7.4 - 9.6 + 0.5).
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The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time
in minutes spent on the Internet.
O
$0 0<30
f(t) = $5 30 < 1 S 90
$ 10 > 90
Which statement is true about the Internet connection cost?
It costs $5 per hour to connect to the Internet at the gaming store.
The first half hour is free, and then it costs $5 per minute to connect to the Internet.
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store.
Any amount of time over an hour and a half would cost $10.
Save and Exit
Next
Submit
Mark this and return
no
Answers
Answer:the answer is D Any amount of time over an hour and a half would cost $10
Step-by-step explanation:
Plz help me Plz this is 7th grade math
Answers
Answer:
d=90 e=99 f=81
Step-by-step explanation:
d is a right triangle so its a 90 degree, e is vertical angle so it would be the same as the one ajacent so its 99. F is a linear pair with e so its 81 because 180-99=81.
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
I think yes because it doesn't really matter how long the sides are as long as its 180°
Step-by-step explanation:
I actually hope this is right and that it helped!
Answer:
yes because it doesn't really matter how long the sides are as long as its 180°
Step-by-step explanation:
Please Help!!!!! I will give points! Also can you show the work please!! :D
Answers
Answer:
x = 132
Step-by-step explanation:
Angle S = 48 Angle T = 90 Angle W =
180 - 48 = 132
132 - 90 = 42
Angle W = 42
180 - 42 = 132
x = 132
plz help i need it quick!!! simplify
Answers
Answer:im not sure sorry
Step-by-step explanation:
Adrian says that 4(-9)= 36. Why is Adrian incorrect?
Answers
Answer:
4(-9)= -36
Step-by-step explanation:
Since there's a negative on the 9 it will affect the product. So the answer is supposed to be a - 36.
For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard deviation?
Answers
Answer: A
Step-by-step explanation:
4.1
Expand.
(x^2)(x^2-6)
Answers
Answer:
This can be expanded to x⁴ - 6x²
Step-by-step explanation:
[tex]x^2(x^2 - 6)\\= x^4 - 6x^2[/tex]
Answer:
If by expanding you mean solving, you answer is x^4−6x²
Step-by-step explanation:
x²(x²-6)
(x²)(x²-6)
(x²)(x²)+(x²)(-6)
x^4-6x²
Can someone pls help me with this??
Answers
0.25k - k + 1.5 - 3.5
= -0.75k - 2
Answer:
[tex] - 0.75k + - 2[/tex]
Step-by-step explanation:
[tex]0.25 k- 1k[/tex]
[tex]1.5 - 3.5[/tex]
first you will combined 0.25 K - k and you will get -0.75
then combine 1.5-3.5 and get -2
If a 200-mile trip takes 4 hours to com- plete, the average speed is
A. 30 miles per hour.
B. 40 miles per hour.
C. 50 miles per hour.
D. 60 miles per hour.
Answers
Answer:
Step-by-step explanation:
if you need 4 h to complete a trip of 200 miles
200/4=50 miles/hour
Only valid answers get points, first correct answer gets brainliest
3n - 12 = 5n - 2
how many solutions?
Answers
3n-12=5n-2
+2. +2
3n-10=5n
-3n. -3n
-10=2n
2. 2
-5 = n
i giveeeeeeeeeeeeeeee brainlilstttt
Answers
Answer:
(x, y ) → (x + 10, y + 10 )
Step-by-step explanation:
Consider the coordinates of C and C'
C(- 7, - 1 ) and C'(3, 9 )
The translation in the x- direction is
- 7 → 3 = 3 - (- 7) = 3 + 7 = 10
The translation in the y- direction is
- 1 → 9 = 9 - (- 1) = 9 + 1 = 10
Then translation rule is
(x, y ) → (x + 10, y + 10 )
What is the slope of this please help as quick as possible :)
Answers
Answer:
-.5 or -1/2
Step-by-step explanation:
rise over run
you rise 2 and run left 4
the slope is negative
Work out volume of this sphere leave your answer in terms of pi
Answers
Answer:
36pi
Step-by-step explanation:
Volume formula = 4/3 × pi × r^3
1. What is the 15th partial sum of the geometric sequence {262,144; 32,768; 4,096; 512; ..)? Round to the nearest whole number, if needed.
Answers
Please also explain how you did it! Thank you
Answers
Answer:
66 degrees
Step-by-step explanation:
360 degrees in a circle
102 and 144 make up the circumference of LPN
LMN however is still to be determined... which is 360-(102+144) = 114
Therefore, LMN = 114 degrees. Using a thereom (I forget which one), the corresponding angle to LMN is LPN.
To find angle LPN (180-114) = 66
CUCU
3) Which function represents the sequence? 45, 40, 35, 30, 25,-
OA) f(x) = 45x -5
OB) f(x) = 45 - 5(x - 1)
OC) f(x) = 5 - 45(x - 1)
OD) f(x) = 5x + 45
Save
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9:28 AM
116/2021
1
Answers
Answer:
B
Step-by-step explanation:
well, the sequence are in the form
[tex]a1, a2, a3, a4, a5, ... , an[/tex]
a1 = first term = 45
you can plug 1 to any of the option
and ended with B the only function that satisfies what we need
Please help me! I’m begging you I’ll mark you brainly!
Answers
Answer:
A = 2x^2 + 11x + 15
B = 3x^2 - x - 2
A-B = -x^2 +12x +17