Answer:
[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]
Step-by-step explanation:
I'm assuming the question here is asking for f(x)
The first step would be to find the antiderivative of f'(x)
[tex]\int{1+3\sqrt{x}} \, dx = \int{1 + 3x^\frac{1}{2}} dx[/tex]
Apply the reverse power rule
[tex]x + 2x^\frac{3}{2} + C[/tex]
Now solve for C when x = 9
[tex]x + 2x^\frac{3}{2} + C = 68\\9 + 2(9)^\frac{3}{2} + C = 68\\9 + 2(27) + C = 68\\9 + 54 + C = 68\\63 + C = 68\\C = 5[/tex]
Now substitute into the antiderivative
[tex]f(x) = x + 2x^\frac{3}{2} + 5[/tex]
3/11 ÷ 3/11
what is the answer pls tell me
Answer:
1 is the answer.
(According to me)
Hope it helps!!!
Summary information on the heights of 64 bass and 42 tenor singers, all men, in the New York Choral Society is given. The vocal range of bass voice part is lower in pitch than the alto voice part. Use 1% level of significance to determine whether the population mean height of bass singers is greater than the population mean height of tenor singers.
Answer:
Hello your question has some missing information below is the missing information
Sample mean and Sample standard deviation
Bass 70.99 and 2.52
Tenor 69.41 and 2.79
answer : We will reject H0
Step-by-step explanation:
Determine whether the population mean height of bass singers > population mean height of tenor singers
n1 = 64 , n2 = 42
x1 ( mean ) = 70.99
x2( mean ) = 69.41
S1 ( std 1 ) = 2.52
S2 ( std 2 ) = 2.79
We will perform a two tailed test hence we will state the null and alternate hypothesis
H0 : μ1 > μ2
H1 : μ1 < μ2
significance level = 0.01
next calculate the test statistic
t = 2.96
attached below is the remaining part of the detailed solution
Which is larger 64 inches or 5 feet
Answer:
64 inches
Step-by-step explanation:
There are 12 inches in a foot
12 x 5 is 60
64 is greater then 60
If John ran a 40 yard dash, how far did he run in decimeters?
Answer:
365.76 decimeters
Step-by-step explanation:
Please give me brainliest
A fast-food restaurant operates both a drive through facility and a walk-in facility. On a randomly selected day, let X and Y, respectively, be the proportions of the time that the drive-through and walk-in facilities are in use, and suppose that the joint density function of these random variables is,
f (x, y) ={2/3(x+2y) 0 ≤ x ≤ 1 , 0 ≤ y ≤ 1
(a) Find the marginal density of X.
(b) Find the marginal density of Y .
(c) Find the probability that the drive-through facility is busy less than one-half of the time.
Answer:
[tex](a)\ g(x) = \frac{2}{3}(x+1)[/tex]
[tex](b)\ h(y) = \frac{1}{3}[1 + 4y][/tex]
[tex](c)[/tex] [tex]P(x>0.5) =\frac{5}{12}[/tex]
Step-by-step explanation:
Given
[tex]f(x,y) = \left \{ {{\frac{2}{3}(x+2y)\ \ 0\le x \le 1,\ 0\le y\le 1} \right.[/tex]
Solving (a): The marginal density of X
This is calculated as:
[tex]g(x) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dy[/tex]
[tex]g(x) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dy[/tex]
[tex]g(x) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dy[/tex]
Integrate
[tex]g(x) = \frac{2}{3}(xy+y^2)|\limits^{1}_{0}[/tex]
Substitute 1 and 0 for y
[tex]g(x) = \frac{2}{3}[(x*1+1^2) - (x*0 + 0^2)}[/tex]
[tex]g(x) = \frac{2}{3}[(x+1)}[/tex]
Solving (b): The marginal density of Y
This is calculated as:
[tex]h(y) = \int\limits^{\infty}_{-\infty} {f(x,y)} \, dx[/tex]
[tex]h(y) = \int\limits^{1}_{0} {\frac{2}{3}(x + 2y)} \, dx[/tex]
[tex]h(y) = \frac{2}{3}\int\limits^{1}_{0} {(x + 2y)} \, dx[/tex]
Integrate
[tex]h(y) = \frac{2}{3}(\frac{x^2}{2} + 2xy)|\limits^{1}_{0}[/tex]
Substitute 1 and 0 for x
[tex]h(y) = \frac{2}{3}[(\frac{1^2}{2} + 2y*1) - (\frac{0^2}{2} + 2y*0) ][/tex]
[tex]h(y) = \frac{2}{3}[(\frac{1}{2} + 2y)][/tex]
[tex]h(y) = \frac{1}{3}[1 + 4y][/tex]
Solving (c): The probability that the drive-through facility is busy less than one-half of the time.
This is represented as:
[tex]P(x>0.5)[/tex]
The solution is as follows:
[tex]P(x>0.5) = P(0\le x\le 0.5,0\le y\le 1)[/tex]
Represent as an integral
[tex]P(x>0.5) =\int\limits^1_0 \int\limits^{0.5}_0 {\frac{2}{3}(x + 2y)} \, dx dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 \int\limits^{0.5}_0 {(x + 2y)} \, dx dy[/tex]
Integrate w.r.t. x
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (\frac{x^2}{2} + 2xy) |^{0.5}_0\, dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 [(\frac{0.5^2}{2} + 2*0.5y) -(\frac{0^2}{2} + 2*0y)], dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}\int\limits^1_0 (0.125 + y), dy[/tex]
[tex]P(x>0.5) =\frac{2}{3}(0.125y + \frac{y^2}{2})|^{1}_{0}[/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125*1 + \frac{1^2}{2}) - (0.125*0 + \frac{0^2}{2})][/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125 + \frac{1}{2})][/tex]
[tex]P(x>0.5) =\frac{2}{3}[(0.125 + 0.5][/tex]
[tex]P(x>0.5) =\frac{2}{3} * 0.625[/tex]
[tex]P(x>0.5) =\frac{2 * 0.625}{3}[/tex]
[tex]P(x>0.5) =\frac{1.25}{3}[/tex]
Express as a fraction, properly
[tex]P(x>0.5) =\frac{1.25*4}{3*4}[/tex]
[tex]P(x>0.5) =\frac{5}{12}[/tex]
Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! <3 have a nice day!
Answer: 166 2/3m
Step-by-step explanation:
Area of a rectangle = length times width
Length: 16 2/3
To find the width, multiply it by 3/5.
w = 16 2/3 · 3/5
w = 10
Then, multiply the length by the width.
a = l · w
a = 16 2/3 · 10
a = 166 2/3m
The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?
Answer:
4 pounds
Step-by-step explanation:
Math 1 Sem 1 1 2.1.5 Quiz: Naming Functions Question 4 of 6 When you read S(h) aloud, you can shorten it to "S of h." O A. True O B. False
Answer: True!
Step-by-step explanation: When you pronounce the function you say it as is. :) Please rate and like thank you.
HELP PLEASE ASAP!!!!! 20 POINTS!!!!
Felicia paid $2,879 for a new wall oven with her credit card. Felicia’s credit card has an APR of 13.89%, compounded monthly. It took Felicia seven years of identical monthly payments to pay for her oven, and she made no other purchases with her card until it was paid off. Over the ten years that she kept the oven, it used an average of $2.97 per week in electricity. Between the electricity and the interest, which component of the lifetime cost of the oven was greater, and how much greater was it? (Round all dollar values to the nearest cent.)
a.
The interest cost $94.12 more than the electricity.
b.
The interest cost $1,638.52 more than the electricity.
c.
The electricity cost $1,334.60 more than the interest.
d.
The electricity cost $463.32 more than the interest.
Answer:
A. The interest cost $94.12 more than the electricity.
Step-by-step explanation:
2.97 x (10 years- 52 weeks in a year= 520) = 1544.40
P= PV x i / 1- (1+i)^-n
PV= 2879
I= .1389/12
N= 84 (7 years x 12)
53.78 x 84 = 4517.52
4517.52 - 2879 = 1638.52
1638.52 - 1544.40 = 94.12
Answer:
✅ A. The interest cost $94.12 more than the electricity.i got it right⬇️
Select the correct answer. 1 -23 1-4 What is the result of the operation 2 O A. 6 -10 -2 -16 4 6 -2 R 5 8 6 _4 Ос. 16 -4 6 4 2 6 -10 2 -16 4 -4 -28
9514 1404 393
Answer:
D
Step-by-step explanation:
Choices A and D agree in all but one term: row 2 column 3 is (-2)(3) = -6. The term with the correct sign is only found in choice D.
please help asap
i keep failing these quizzes i’m so confused
Answer:
try b
Step-by-step explanation:
Ella is solving the equation (x+5)2=0 . She writes that the solutions are x=5and−5 .
Anne looks at her work and disagrees. She says that only x=−5 is a solution. Who do you agree with? Explain your reasoning.
Answer:
Anne
Step-by-step explanation:
Let's solve it by replacing x by 5, then -5.
(5+5)2=0
10*2=0
20=0
(-5+5)2=0
-5 and 5 cancel each other out, and 0 times anything is 0.
0=0
So Anne is correct.
--
hope it helps
what is the area of this quadrilateral? plz help
Answer:
D. 12 square feet
Step-by-step explanation:
Multiply 3 × 4 to get 12 and divide by 2 for the top triangle. Then, multiply 3 × 4 for the bottom triangle and get 12 and divide by 2. Add 6+6 to get 12
Greta bought a bunch of grapes that weighed 3 pounds 6 ounces. How many ounces is this?
Answer:
54
Step-by-step explanation:
16 x 3 is 48 then plus 6 is 54
PLS ANSWER QUICK, HELP AND EXPLAIN
Answer:
136 ft²
Step-by-step explanation:
floor = 7 x 6 = 42 ft²
sides = 2 x 7 x 5 = 70 ft²
ends = 1/2 x 6 x 4 x 2 = 24 ft²
42 + 70 + 24 = 136 ft²
Someone please help me answer this!!!
eAnswer:
B, C, E, F
Step-by-step explanation:
Find the distance CD rounded
to the nearest tenth.
C = (-5,4) D = (5,8)
CD = [?]
Answer:
10.77 is correct answer
use x1=-5 ,x2=5
y1=4 y2=8
Can someone please help I really need the answer I give anyone a brainliest
Quadratic vs Exponential Functions
X
- 1000000x y-2
0
1
0
1
1000000
2
2
4000000
4
3
9000000
8
4
16
5
32
16000000
25000000
36000000
49000000
6
64
7
128
Question:
The table shows the behavior of a quadratic and an exponential function near the origin
A. Which function is growing more rapidly?
B. Between which X-values does the table indicate that the functions graphs have crossed?
C. Will the functions graphs ever intersect again? Can you prove this?
1)
Answer:
A) The first function (the quadratic one) is growing more rapidly.
B) Between x=0 and x=1.
C) We can assume that they don't intersect again.
Step-by-step explanation:
A)
The first function (the quadratic one) is growing more rapidly. We can see this because the difference between its y values is so much greater than the difference between the y values for the exponential function.
B)
Between x=0 and x=1. When functions intersect, their y and x values are equal. The y-values are equal at some point over x=0 and x=1 because they both cross over the same range (y=1 and y=2)
C)
We can assume that they don't intersect again because the y-values for the exponential equation will never reach the corresponding values for the quadratic equation; it simply isn't growing rapidly enough.
How much more popcorn does the bigger box hold than the smaller box? cm^3
9514 1404 393
Answer:
70 cm³
Step-by-step explanation:
Amanda's container holds ...
V = LWH = (10 cm)(10 cm)(13.5 cm) = 1350 cm³
Mary's container holds ...
(8 cm)(8 cm)(20 cm) = 1280 cm³
The larger box holds 1350 -1280 = 70 cm³ more popcorn.
The perimeter of the figure below is 54.9 in. Find the length of the missing side.
5.9 in
5.9 in
?
7.3 in
7.3 in
7.3 in
7.3 in
7.3 in
Three gears are arranged as shown in the figure. Find angle θ.
Answer:
Answer: 111∘
Step-by-step explanation:
Which expressions are equivalent?
1/5k-2/3j and -2/3j+1/5k
1/5k-2/3j and -1/5k+2/3j
1/5k-2/3j and 1/5j-2/3k
1/5k-2/3j and 2/3j-1/5k
please help!!!!!
Which graph and equation shows a proportional relationship between r and y? y= 11.5% y = 1.5x - 1.5
Answer:
y = 1.5x - 1.5
Step-by-step explanation:
Model and Solve Equations with Geometry Concepts (7.11c) . ... Now substitute the values for x and y into the expression. 2(1. 3. )(1. 2. −3) ... 10.0+1.5 = 11.5.
Write the exponential equation
A. y = 2.5(2)^x
B. y = 10(1/2)^x
C. y = 2(2.5) ^x
D. y = 1/2(10)^x
Answer:
A. y = 2.5(2)^x
Step-by-step explanation:
Given that when
x = 1, f(x) = 5
x = 2, f(x) = 10
x = 3, f(x) = 20
x = 4, f(x) = 40
x = 5, f(x) = 80
x = 6, f(x) = 160
Considering all the options
y = 2.5(2)^x
Substitute x = 1
y = 2.5(2)^1 = 2.5 *2 = 5
Substitute x = 2
y = 2.5(2)^2 = 2.5 * 4 = 10
Substitute x = 3
y = 2.5(2)^3 = 2.5 * 8 = 20
Substitute x = 6
y = 2.5 (2)^6
= 2.5 * 64
= 160
Since the function is true for all the values of x substituted, then the answer is A. y = 2.5(2)^x
Consider the following scenarios, where we apply probability to a game of flipping coins. In the game, we flip one coin each round. The game will not stop until two consecutive heads appear. (a) What is the probability that the game ends by flipping exactly five coins? (b) Given that the game ends after flipping the fifth coin, what is the probability that three heads appear in the sequence?
Answer:
3.125%
0%
Step-by-step explanation:
A regular coin has two sides, meaning that each side has the same probability of landing which is 50%. Therefore, for the game to end exactly on the fifth flip it would need to land 3 times in a row on tails and the last 2 times on heads. Therefore, to get this probability we need to multiply 0.50 (50%) 5 times
0.5 * 0.5 * 0.5 * 0.5 * 0.5 = 0.03125 or 3.125%
Now the probability of three heads appearing in a sequence is 0% because after the second head in a row the game will automatically end.
Part(a): The probability that the game ends by flipping exactly five coins is [tex]0.5[/tex]
Part(b): The probability that three heads appear in the sequence is [tex]0.5[/tex].
Probability:Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. How likely they are to happen, using it.
Part(a):
The Probability of games ends by flipping exactly five coins is,
[tex]P((TTTHH),(HTTHH),(THTHH),(HHTHH))=(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4[/tex]
Where [tex]p=P(H)[/tex]
When the coin is fair so the probability is,
[tex]P(H)=\frac{1}{2}[/tex]
P(game ends by flipping exactly five coins)=[tex]\frac{2^2}{2^5} =0.125[/tex]
Part(b):
The Probability of games ends by flipping exactly three heads is,
[tex]\frac{2(1-p)^2p^3}{(1-p)^3p^2+2(1-p)^2p^3+(1-p)p^4}[/tex]
Where [tex]p=P(H)[/tex]
When [tex]p=0.5[/tex] then the above probability is [tex]0.5[/tex]
Learn more about the topic of Probability:
https://brainly.com/question/6649771
PLS HELP ME OUT GUYS PLS PLS PLS PLS
the 1st, 2nd, and 3rd are correct
A ball is thrown from an initial height of 7 feet with an initial upward velocity of 37 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=7+37t-16t²
Find all values of t for which the ball's height is 27 feet.
round your answer(s) to the nearest hundredth.
Answer:
t = 0.86 or t = 1.45
Step-by-step explanation:
Find the value of x in the diagram
Answer:
x = 21
Step-by-step explanation:
Based on the inscribed angle theorem, we would have:
120° = 2(3x - 3)°
Solve for x
120 = 2*3x - 2*3
120 = 6x - 6
Add 6 to both sides
120 + 6 = 6x
126 = 6x
Divide both sides by 6
126/6 = x
21 = x
x = 21
Which expression is equivalent to the expression given below?
-3.5(2 - 1.5n) 14.5n
-7 - 6n
A.
-7 + 0.75n
B.
-7 - 9.75n
c.
-7 – 9.5n
D
Step-by-step explanation:
- 35/10(2-15n/10) 145n/10 - 7 - 6n
-70/10 +35*15n/100.145n/10 -7-6n
-7 + 525n/100.145n/10 -7- 6n
-14 +5.25n .14.5n -6n
-14 +76.125n^2 -6n is final answer
