Answer:
(2,4)
Step-by-step explanation:
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?
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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
100 grams = ____________ounces *
Answer:
3.52
Step-by-step explanation:
3.5274 to be exact
Pls help ASAP for Brianlest
Answer:
-2, -1
Step-by-step explanation:
Answer:
(-1 , -2)
Explanation:
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
What is the area of this polygon on a coordinate plane?
20 square units
9 square units
3 square units
14 square units
Answer:
14
Step-by-step explanation:
count the amount of squares inside the shape.
The area of this polygon is 14 units on a coordinate plane.
What is area of rectangle?Area of rectangle is defined as product of the length and width.
Length of large rectangle = 5 units
width of large rectangle = 4 units
Length of small rectangle = 3 units
width of small rectangle = 1 unit
Required area of polygon = large rectangle - 2 × small rectangles
Required area of polygon = 5×4 - 2×(3×1)
Required area of polygon = 20-6
Required area of polygon = 14 units
Hnece, the area of this polygon is 14 units on a coordinate plane.
Learn more about Area of rectangle
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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.
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
Round 9,675,599 to the nearest 1,000.
Answer: 9,676,000
Step-by-step explanation:
Increase the digit by 1 if the previous digit is 5 or above
Answer: 9676000
Step-by-step explanation: you have to go the thousands place and round up because anything 5 or below round up
(-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]
Look at the graph.
On a coordinate plane, a graph increases through (negative 1, 4), levels off at (0, negative 3), and then increases up through (2, 5).
Leslie analyzed the graph to determine if the function it represents is linear or non-linear. First she found three points on the graph to be (–1, –4), (0, -3), and (2, 5). Next, she determined the rate of change between the points (–1, –4) and (0, -3) to be StartFraction negative 3 minus (negative 4) Over 0 minus (negative 1) EndFraction = StartFraction 1 Over 1 EndFraction = 1. and the rate of change between the points (0, -3) and (2, 5) to be StartFraction 5 minus (negative 3) Over 2 minus 0 EndFraction = StartFraction 8 Over 2 EndFraction = 4. Finally, she concluded that since the rate of change is not constant, the function must be linear. Why is Leslie wrong?
Answer:
Its D
Step-by-step explanation:
Leslie is wrong because her conclusion is wrong. If the rate of change is not constant, then the function cannot be linear.
The correct option is D.
What is a Linear Function?A function is said to be linear when the rate rate of change is constant for all the points on the graph.
The points of the graph are (–1, –4), (0, -3), and (2, 5).
The rate of change from (–1, –4) to (0, -3) is
(-3 -(-4)) / (0-(-1)) = 1
The rate of change from (0,-3) to (2,5) is
(5+3)/(2-0) = 4
The rate of change is not constant and so the function cannot be linear.
Leslie is wrong because her conclusion is wrong. If the rate of change is not constant, then the function cannot be linear.
The correct option is D.
The missing options are attached with the answer.
To know more about Linear Function
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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
Find the slope. Pls help ill give brainliest ^^
Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer. What is Jo’s error?
Complete Question
Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer. What is Jo’s error? a) Negative 42 divided by negative 7 = 6
b) Jo should have rounded the dividend to –40
c) Jo should have rounded the divisor to –6.
d) Jo should have divided –7 by –42. e) Jo should have divided –7 by –7
Answer:
c) Jo should have rounded the divisor to –6.
Step-by-step explanation:
Jo estimated the quotient of –41.71 divided by –6.03 by rounding each to the nearest integer.
Nearest integer
Dividend = -41.71 = -42
Divisor = -6.03 = -6
Jo's error was that she should have rounded the divisor to -6
Hence: -42 ÷ -6 = 7
Quotient = 7
B :)
the other guy did good explaining but he said C instead of B
what is -4(3t-9)>8(8-t)
Answer:
Inequality Form:
t < −7
Interval Notation:
(−∞,−7)
Answer:
t < -7
t ∈ ( -∞, -7 )
Step-by-step explanation:
-4 ( 3t - 9 ) > 8 ( 8 - t )
1. Distribute
-4 ( 3t - 9 ) > 8 ( 8 - t )
-12t + 36 > 64 - 8t
2. Inverse operations ans simplifying
-12 t + 36 > 64 - 8t
+12t + 12t
36 > 64 + 4t
-64 -64
-28 > 4t
/4 /4
-7 > t
Stella buys a one-pint bottle of juice for $2.72. What is the unit rate of the
cost of the juice per fluid ounce?
Answer:
Step-by-step explanation:
8 fluid ounces in a cup
two cups in a pint
16 fluid ounces in a pint
divide 2.72/16 to get your answer of $.17 a fluid ounce
ok here we go plz help me
Answer:
I don't have much time cause Zoom is gonna start but the answer to 8 is B
Step-by-step explanation:
The answer is B because since it's a triangle it will always add up to 180.
Triangles= 180 always
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.
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
the y's represent the y cordinate on a graph or y value in a table
Step-by-step explanation:
A die is rolled 200 times with the following results.
Outcome
1
2
3
4
5
6
Frequency
32
36
44
20
30
38
What is the experimental probability of rolling the given result?
a prime number
a.
0.45
c.
0.71
b.
0.55
d.
0.73
Please select the best answer from the choices provided
A
B
C
D
Answer:
B
Step-by-step explanation:
2 3 and 5 are all prime.
Chance of rolling 2 = 36/200 = 0.18
Chance of rolling 3 = 44/200 = 0.22
Chance of rolling 5 = 30/200 = 0.15
Total = 0.55
Answer:
I think it's B.
If Jim works at Fire Fighting Equipment, has $32,874 in sales in one week, and as paid a weekly salary of $452 plus a commission of .9% on sales between $15,000 and $25,000, with 1.1% paid on sales in excess of $25,000, no commission is paid on the first $15,000, what is his gross earning?
Answer:
Gross income= $813.61
Step-by-step explanation:
Giving the following information:
Sales= $32,874
Fixed salary= $452
Commission= 1.1% paid on sales in excess of $25,000.
To calculate the gross income, we need to use the following formula:
Gross income= 452 + y*x
y= percentage comission
x= sales
For $32,874 sales:
Gross income= 452 + 0.011*32,874
Gross income= $813.61
Someone please help!
g(n)= n^2 + 5 f(n)= 3n+5
Find g(n)/f(n)
Answer:
n^2+5/3n+5
Step-by-step explanation:
does N equal something?
Help me, solve for x
Answer:
x=1°Step-by-step explanation:
62x+118 =180(corresponding angles)
62x = 62
x = 1°Answer:
x = 1
Step-by-step explanation:
∡D and ∡E are sumplemmentary angles,
then:
D + E = 180°
then:
62x + 118 = 180
62x = 180 - 118
62x = 62
x = 62/62
x = 1
The function f(x) contains the point (-2,4), which point is contained in f -1(x)? A. (-4,2) B. (-2,-4) C. (4,-2) D. (2,-4)
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Answer:
(4, -2)
Step-by-step explanation:
If (x, y) is part of the relation f, then (y, x) will be in the inverse relation f^-1.
The point contained in f^-1(x) is (4, -2).
_____
Additional comment
The range of f is {2, -4, -2, -4}, which has -4 repeated. That means the inverse relation is not a function. We can say that (4, -2) is a point contained in the inverse relation, but we cannot say that f^-1(x) is a function.
PLS HELP
3. There are 35 bees in the hive when it is first observed on Saturday. After 3 days, there are 42 bees. It is determined that the population of bees increases exponentially.
How many bees are will there be after 30 days? Express your answer as an exact value and rounded to the nearest whole number
Answer:
210
Step-by-step explanation:
it increases by 7 so 7 times 30 days will be 210
Can someone please help me!!
Anyone know this? Ill give brainliest if right pls help ^^ :)
Answer:
2
Step-by-step explanation:
Since you're only looking at salt and you want 4 times as much all you need to do is multiply 1/2 with 4 and the result is 2.
Answer:
2 Teaspoons
___________________________________________
So, we know that the original amount for salt is 1/2.
So, we do 1/2 x 4
1/2 x 4 = 2
So, the answer is 2
HOPE THIS HELPS!!!
YALL MY STOMACH IS MAKING SOME WEIRD NOISES IM DYING SOMEONE SAVE ME
Answer: either eat something or go to the bathroom or you may be an alien
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:
Orange juice costs $2 per gallon, and grapefruit juice costs $3 per gallon. A recent shipment of equal amounts of the two types of juice costs a total of $250. How many gallons of orange juice are in the shipment
