Calc I Question help
The way the question is phrased, it sounds like the height stays fixed at 18 in. If L and W denote the raft's length and width, respectively, then its volume V is given by
V = 18 L W
Differentiating both sides with respect to time t gives
dV/dt = (18 in) W dL/dt + (18 in) L dW/dt
We're told that dL/dt = -1 in/s and dW/dt = -2 in/s, so that at the moment L = 11 in and W = 4 in, the volume is changing at a rate of
dV/dt = (18 in) (4 in) (-1 in/s) + (18 in) (11 in) (-2 in/s)
dV/dt = -468 in³/s
so the raft is losing air at a rate of 468 in³/s. (Note that "losing" captures the negative sign from before.)
A ratio of 3 erasers and 6 pencils could be expressed as 3:6. If the number of erasers is represented by white circles and the number of pencils is represented by black circles, which is a correct representation of the ratio?
Answer:
It'd be C.
There are 3 erasers shown and 6 pencils and to simplify the given ratio it would be 1:2
So the third representation would be the one that made the most sense.
Answer:
Option 3
Step-by-step explanation:
Ratios can be written as fractions, so 3:6=3/6. That can be simplified to 1/2, 1:2. That mesns for every eraser, there are two pencils. If white circles are erasers and black circles pencils, the correct answer will be the answer with one white circle and two black circle in each group. So the correct answer will be the third one.
evaluate -3 - (-4) - (-2) + 1
Answer:
4
Step-by-step explanation:
-3 - (-4) - (-2) + 1
-3 + 4+ 2 +1
1 +2+1
2 + 2
4
According to the graph below, what percent of the Simpsons’ annual expenses is Federal taxes? A circle graph titled Simpson's Annual Expenses. Federal taxes, 24 percent; State/local taxes, 10 percent; Housing and household, 23 percent; Food, 6 percent; Medical care, 8 percent; Transportation, 11 percent; Recreation, 3 percent; Clothing, 5 percent; Other, 10 percent. a. 10% b. 14% c. 24% d. 34%
According to the graph, the percentage of the Simpsons’ annual expenses that is Federal taxes is 24%
What is a circle graph?A circle graph also known as pie chart has a shape of a circle and each section are represented in percentages or degrees
From the question, we have:
Federal taxes = 24%State/local taxes = 10%Housing and household = 23%;Food = 6%Medical care = 8%Transportation = 11%Recreation = 3%Clothing = 5%Other = 10%The above means that the percentage of the Simpsons’ annual expenses that is Federal taxes is 24%
Read more about circle graphs at:
https://brainly.com/question/24461724
Answer:
10%
Step-by-step explanation:
WILL GIVE BRAINLIEST!!
What is the value of 1/60?
Answer:
1/6
Step-by-step explanation:
Answer:
C. 1
Step-by-step explanation:
Determine the equation of the line passing through the point below having the corresponding
slope.
Point: ( - 25, -9)
Slope: m=1/5
Write your answer as an equation in the form
y = mx + b
Answer:
y=1/5x-4
Step-by-step explanation:
So, first we're gonna put this into point slope form, (y-y1)=m(x-x1), then we'll convert it. When you plug the numbers in, you get (y+9)=1/5(x+25)
Then, you simplify!
y= 1/5(x+25)-9
y=1/5x+5-9
y=1/5x-4
Hope this helped!
The sum of a number, x, and 1/2 is equal to 4. Which set of equations correctly represents x?
Answer:4=1/2x
X=8
Step-by-step explanation:
I'm not understanding
Answer:
D. x = 3
Step-by-step explanation:
We would like to find out for what value of x does f(x) = g(x). This is essentially the same as asking us to find the x-value for which f(x) = k, where k is some number, and g(x) = k, as well.
Looking at the two tables provided, we notice that when x = 3, both f(x) and g(x) equal -2. So, the answer is D.
Which of these is the simplest form of x2-2x/x2-4?
Answer:
The first one
Step-by-step explanation: hope this helps!
HELP!!!!!A school is having a competition to see who can read the most books in one month (30 days). In the first 5 days, Jake reads 4 books. Meanwhile, Amy reads 5 books over 6 days. If they continue at these rates, who will win? By how many books?
is there a rate because im not understanding
Write the explicit rule for the arithmetic sequence
-10, -3, 4, 11,...
a
0
=
4
a
i
=
a
i
−
1
+
7
XXXX
possibly with the restriction 1<=i<=4 if this is not intended to be a continuous sequence
Explanation:
This is a simple arithmetic sequence with a difference of
7
between ascending sequence terms.
Domino's offers the following “deals”:
Deal #1: $10 for one large pizza and $5 for each additional large pizza on the same order.
Deal #2: $6.00 per large pizza
What equation can we use to graph a line showing the different pizza deals?
Answer: Deal one: 5x+10
Deal two: 6x
Jimmy scored 49 goals in soccer this season.tommy scarred 7 times fewer goals how many goals did tommy score
6plus 6 times 1 divide 9
Answer:
6+6x1/9= 6.66666666667
Thats the long way and i used mental math and quick math to get the answer :)
HAVE A WONDERFUL DAY
-ary
Answer:
6.666...
Step-by-step explanation:
6 + 6 * 1 / 9
6 + 6 / 9
6 + 2/3
6.666....
a size 8 kids shoe measures 9 2/3
What is the point slope form for (2,0)(4,6)
Answer:
0-y=3/4(x-2)
Step-by-step explanation:
Solve 2m = 480.6. :)
Answer:
Step-by-step explanation:
2m=460.6
M=230.3
I'll give brainliest hurry
Answer:
p
Step-by-step explanation:
Find the slope of regular AB, and make sure you reduce the fraction to simpelist form
Answer:
The slope is 1/2.
Step-by-step explanation:
Could I get help with this?
Answer:
x int= -4 y int= 1
Step-by-step explanation:
intercepts refer to the place on the each axis where the line passes through
Which points on the wave are the trough and the crest?
Answer:
ok
trough is the y
Crest is W
I put a picture for help
A pond contains 110 fish, of which 20 are carp. If 10 fish are caught from the lake, what are the mean and variance of the number of carp among those 10?
Answer:
Mean = 1.82
Variance = 1.365
Step-by-step explanation:
We define X as the random variable that counts the number of the carp fishes that has been caught. Also we assume that all the fishes are equally likely to be caught. In that case we have that X as hypergeometric distribution.
The of the Hypergeometric Distribution and Its variance is given below.
Mean of the distribution = [tex]n*\frac{k}{N}[/tex]
Variance = [tex]\frac{n*k*(N-k)(N-n)}{N^2(N-1)}[/tex]
N= 110
k = 20
n = 10
Upon calculation we get
Mean = [tex]10*\frac{20}{110}[/tex]
= 1.82
Variance = [tex]\frac{10*20*(110-20)(110-10)}{110*110*(110-1)}[/tex] = 2*90*100/11*11*109 = 1.365
Therefore the mean is 1.82 and variance is 1.365
The mean and the variance of the number of carp are 20/11 and 180/121, respectively
The given parameters are:
Fishes = 110
Carp = 20
The probability of selecting a carp is:
p = 20/110
Simplify
p = 2/11
In a selection of 10 fishes, we have:
n = 10
The mean is:
E(x) = np
This gives
E(x) = 10 * 2/11
E(x) = 20/11
The variance is
Var(x) = E(x) * (1 - p)
So, we have:
Var(x) = 20/11 * (1 - 2/11)
Simplify
Var(x) = 20/11 * 9/11
Evaluate the product
Var(x) = 180/121
Hence, the mean and the variance of the number of carp are 20/11 and 180/121, respectively
Read more about mean and variance at:
https://brainly.com/question/15858152
What life insurance policy never expires?
Answer:
whole life insurance
Step-by-step explanation:
Answer:
Term life insurance and Universal life
Step-by-step explanation:
hi!! please help :) i hope you guys are having a good day/night!!
Answer:
x = 13, y = 26
The length of the sides of Δ QRS are QR = 104, QS = 468, RS = 76
Step-by-step explanation:
In ΔRQS
∵ M is the mid-point of side RQ
→ That means M divide RQ into 2 equal parts RM and MQ
∴ RM = MQ
∵ RM = 4x
∵ MQ = 52
→ Equate them
∴ 4x = 52
→ Divide both sides by 4 to get x
∴ x = 13
∵ P is the mid-point of side QS
→ That means P divide QS into 2 equal parts QP and PS
∴ QP = PS
∵ QP = 9y
∵ PS = 234
→ Equate them
∴ 9y = 234
→ Divide both sides by 9 to get y
∴ y = 26
→ Find the length of each side
∵ RQ = 52 + 52
∴ RQ = 104
∵ QS = 234 + 234
∴ QS = 468
∵ RS = 38 + 38
∴ RS = 76
∴ The length of the sides of Δ QRS are QR = 104, QS = 468, RS = 76
Note: PS = 234 is wrong because it made the length of the sides QS = 468, which could not be because the sum of any 2 sides of a triangle must be greater than the 3rd side. So check it.
I need the steps. Please help me. Thanks!
Answer:35x^3 + 15x^2 + 42xz + 28x + 18z + 12
Step-by-step explanation:
(7x + 3) (5x^2 + 6z + 4)
7 (5^2 + 6 + 4) +3 (5^2 + 6 + 4)
35^3 +42 + 28 + 15^2 + 18 + 12
35^3 + 15x^2 + 42xz + 28x + 18z + 12
Which expressions have the same value as the product of 0.06 X 3.9?
Circle the letter for all that apply.
A 216 X 0.001
B 0.216 X 0.01
C 21.6 X 0.01
D 2.16 X 0.1
E 216 X 0.01
Solve the real-world situation by using the substitution method.
One smartphone plan costs $30 per month for talk and messaging and $8 per gigabyte of data used each month. A second smartphone plan costs $60 per month for talk and messaging and $3 per gigabyte of data used each month. Let c represent the total cost in dollars and d represent the amount of data used in gigabytes. The system of equations lbrace c = 30 + 8d c = 60 + 3d can be used to represent this situation.
How many gigabytes would have to be used for the plans to cost the same? What would that cost be?
Both plans would cost $_____
if _____ gigabytes of data are used.
Abigale drove 20 kilometers in 10 minutes, and Jordan drove 30 kilometers in 15 minutes.
Both Abigale and Jordan drove at a constant speed.
Did Abigale and Jordan drive at the same speed? Explain your reasoning.
Answer:
15
Step-by-step explanation: 20+10+3+30 =30
You can use the interactive graph below to find the answer.
\begin{cases} y=x+1 \\\\ y=2x-5 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
y=x+1
y=2x−5
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Exactly one solution
(Choice B)
B
No solutions
(Choice C)
C
Infinitely many solutions
Answer:
there is only one solution.
Step-by-step explanation:
hope this helps!
Find the simple interest on a loan of 23,000 at 5.4% interest for 11 months
Answer:
Simple interest=1138.5
Step-by-step explanation:
Simple interest=23000×(5.4/100)×(11/12)
S.I=23000×0.054×(11/12)
S.I=1138.5