Let x and y be functions of time t such that the sum of x and twice y is constant. Which of the following equations describes the relationship between the rate of change of x with respect to time and the rate of change of y with respect to time?
9514 1404 393
Answer:
b) dx/dt = -2dy/dt
Step-by-step explanation:
We are given that ...
x(t) +2y(t) = k
for some functions x(t) and y(t) and some constant k.
Differentiating with respect to time gives ...
x'(t) +2y'(t) = 0
x'(t) = -2y'(t) . . . . . subtract the y term
In the form used in the answer choices:
dx/dt = -2dy/dt . . . . . matches choice B
he table shows the height of water in a pool as it is being filled.
A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24.
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
Answer:
8, 12, 16, 20, 24
Step-by-step explanation:
Answer:
8 12 16 20 24
Step-by-step explanation:
I took the test.
What is the range of the following list of ordered pairs?
(-3,-1), (0, -2), (4,3), (1,5)
Answer:
The range is 8.
Step-by-step explanation:
5-(-3)=8
Chose all possible zeros of the polynomial of h(x)=5x3 - 5x - 10x.
Answer:
The possible zeros/roots of the polynomial are
[tex]x = 0\\x=-\sqrt{3} \\ x=\sqrt{3}[/tex]
Step-by-step explanation:
[tex]h(x)=5x^3 - 5x - 10x[/tex]
[tex]h(x)=5x^3 -15x[/tex]
[tex]h(x)=5x(x^2 -3)[/tex]
When [tex]y= 0[/tex]
[tex]0=5x(x^2 -3)[/tex]
[tex]5x = 0 \implies x = 0[/tex]
[tex]x^2 - 3 = 0 \implies x=\pm\sqrt{3}[/tex]
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
x = 7
Step-by-step explanation:
180 - 141 = 39
39 + 17 = 56
8x = 56
56/8 = 7
x = 7
(-4,9),(6,4) in point slope form
Answer: [tex]y-4=-\frac{1}{2} (x-6)[/tex]
Step-by-step explanation:
The point-slope form is y-y₁=m(x-x₁). y₁ and x₁ are from a point, and m is slope.
To find slope, we use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{4-9}{6-(-4)}=\frac{-5}{10}=-\frac{1}{2}[/tex]
Now that we have the slope, we can fill in our point-slope form equation.
[tex]y-4=-\frac{1}{2} (x-6)[/tex]
At the kennel, there are 6 dogs for every 5 cats. a. The ratio of dogs to cats is to . b. The ratio of cats to dogs is to . c. For every dogs there are cats. d. The ratio of cats to dogs is : .
Answer:
a. The ratio of dogs to cats is
= 6:5
b. The ratio of cats to dogs is
= 5:6
c. For every dogs there are cats.
For every 6 dogs, there are 5 cats and for every 5 cats there are 6 dogs
Step-by-step explanation:
At the kennel, there are 6 dogs for every 5 cats.
The questions below have to deal with proportion
Hence:
Number of dogs = 6
Number rod cats = 5
a. The ratio of dogs to cats is
Dogs : cats
6:5
b. The ratio of cats to dogs is to
Cats: Dogs
5:6
c. For every dogs there are cats.
For every 6 dogs, there are 5 cats and for every 5 cats there are 6 dogs
your answer should be c i think
Please helppp
Determine whether the sequence of mapping rules will lead to the image being congruent to the pre-image (x, y) -> (x - 2, y)
No or yes if yes then is it a translation or reflection, if no then will it be small or with the size of the pre image be changed?
Answer:
tacos are not for bekfast
Step-by-step explanation:
Answer:
The answer is yes, this is a translation that doesn't change the preimage size.
Step-by-step explanation:
I just took the lesson check and it says it was right.
With this diagram, what could be the values of q and r ?
=147
q
=
14
7
, =−2.05
r
=
-
2.05
=0
q
=
0
, =−204
r
=
-
20
4
=3
q
=
3
, =−65
r
=
-
6
5
=−23
q
=
-
2
3
, =8
Answer:
the third one i belive so
Step-by-step explanation:
it makes more scence
plz i really need help and good morning
Answer:
no
Step-by-step explanation:
211 x 6 = 1266
if you were to round this answer to the hundreds place, it should be 1,300
The binomial expansion of (x^2+y)^2 is
A. x^4+2x^2y+y^2
B. x^2+2x^2y+y^2
C. x^4+2x^3y+x^2y^2
D. x^2+2xy+y^2
Answer: It’s A
Step-by-step explanation:
x4 + 2x2y + y2
pythagorean theorem level two deltamath. help asap!!
Answer:
65
Step-by-step explanation:
Just use the Pythagorean theorem.
[tex]\boxed{a^2+b^2=c^2}[/tex]
[tex]33^2 + 56^2 = c^2\\1089 + 3136 = c^2\\4225 = c^2\\c = \sqrt{4225} \\c= 65[/tex]
Answer:
Third side is 65
Step-by-step explanation:
FORMULA
a^2 + b^2 = c^2
PLUG IT IN
33^2 + 56^2 = c^2
33 and 56 are the legs of the triangle so they go into the A and B variable.
The legs make up the right angle.
C is the hypotenuse, and here it is the diagonal line in that image.
FIND THE NUMBERS SQUARED
1089 + 3136 = c^2
ADD THEM TOGETHER
4225 = c^2
SQUARE ROOT BOTH SIDES
[tex]\sqrt{4225}[/tex] = ([tex]\sqrt{C}[/tex])^2
65 = c
CHECK
33^2 + 56^2=65^2
1089 + 3136 = 4225
4225 = 4225
If 2 gallons of paint are needed to paint 3,000
square feet of wall, how many gallons are
needed to paint 15,000 square feet of wall?
Answer:10 gallons are needed to paint 15,000 square feet of wall.
Step-by-step explanation:
3,000/2=1,500
15,000/1,500=10 gallons
Which table shows a proportional relationship between x and y?
x 2 3 5 6
y 3 4 7 9
x 1 5 8 10
y 15 75 120 150
x 4 6 8 10
y 6 8 10 12
x 3 9 10 15
y 1 3 4 5
Can someone help i suck at math
Answer:
Table 3
Step-by-step explanation:
In a proportional relationship there must be a constant rate of change.
The first table:
6-5 / 9-7 = 1/2
5-3 / 7-4 = 2/3
These are not equal so it is not proportional.
The second table:
10-8 / 150-120 =2/30
8-5 / 120-75 = 3/45
These are not equal so it is not proportional
The third table:
10-8 / 12-10 =2/2 = 1
8-6 / 10-8 =2/2 = 1
These are equal so this table is proportional.
Carrie has 0.74 liters of juice in her pitcher. Sanji's pitcher has 2 times as much juice as Carrie's pitcher. Lee's pitcher has 4 times as much juice as Carrie's pitcher. Sanji and Lee pour all their juice into a large bowl.
How much juice is in the bowl?
Answer:
4.38 liter
Step-by-step explanation:
trick question my fellow brainleirs so how many times can you subtract ten out of 100 now dont cheat answer it and then look at the correct answer
Answer:
You can subtract to out of 100- 100 times
Step-by-step explanation:
because there only 100 tens in 100
Elle placed a bucket under a leaky roof. The bucket was 310 full after 25 of an hour. How much water is leaking per hour?
Answer:
3/4 bucket
Step-by-step explanation:
Elle placed a bucket under a leaky roof. The bucket was 3/10 full after 2/5 of an hour. How much water is leaking per hour
Water leaking : time taken
Let x = amount of water leaking per hour
3/10 : 2/5 = x : 1
3/10 ÷ 2/5 = x / 1
3/10 × 5/2 = x / 1
15 / 20 = x / 1
Cross product
15 * 1 = 20 * x
15 = 20x
x = 15/20
= 3/4
3/4 bucket of water is leaking per hour
Can someone please help me!!
Find m k
Help please
Answer:
hope this helps, happy learning :).
Andre has a $73 in his bank account and writes a check for $86. After the check has been cashed, what will the bank balance show?
Answer:
If he wrote the check, then I assume he gave it to someone else to cash in. If that is the case, his bank account balance is -$13. If he got a check for $86 and cashed it in, then he has $159 in his bank account.
Step-by-step explanation:
Pls help ASAP for Brianlest
Answer:
-2, -1
Step-by-step explanation:
Answer:
(-1 , -2)
Explanation:
100 grams = ____________ounces *
Answer:
3.52
Step-by-step explanation:
3.5274 to be exact
What is the slope of this line
Answer:
the slope is 1.
Step-by-step explanation: This answer is correct, because the rise over run was 2/2 which equals 1.
1/8 times what equals 16/8
Answer:
16
Step-by-step explanation:
let x be the unknown
1/8x =16/8
1/8x =2
x=8×2
x=16
The value of 1/8 times equals 16/8 will be 16.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that 1/8 times, what equals 16/8. Let x be the unknown. Let the unknown number be x. The value of x will be calculated as below:-
1/8x =16/8
1/8x =2
x=8×2
x=16
Therefore, the value of 1/8 times equals 16/8 will be 16.
To know more about an expression follow
https://brainly.com/question/15463878
#SPJ2
Evaluate 5|7-9|-2. i dont get it
The snooker hall has given you a $40 prize for your 147 break. You decide to share it with your friend in the ratio 3:1. How much will you give your friend?
A) $10
B) $11
C) $9
If anyone does this u will get 70 points so please help me
Answer:
it would be A
explanation: if you get $40 dollars and divide it by 4 (which would be equal to giving to 4 people) and then take 3 fourths of it your friend would be left with $10
Answer:
A - 10
Step-by-step explanation:
2 1/2 hours= how many minutes
Answer:
150 minutes
Step-by-step explanation:
2 hours
1 hour = 60 mins
60 + 60 = (120)
1/2 an hour = 30 mins
120 + 30 = 150
Thanks a lot guys u got me a 30%
Answer:
omg were u taking a test lol
Step-by-step explanation:
What is the most precise
name for a quadrilateral with
vertices (-1, 4), (3, 7), (6, 3),
and (2, 0)?
a) Kite
b) Parallelogram
c) Rectangle
d) Rhombus
e) Square
what is 1/2 divided by 5/6
pls hurry I need help
Answer:
3/5 would be the answer.
