Pls help me on this due in 10 mins
Answer:
A, E, G
Step-by-step explanation:
Answer:
A
E
G
Step-by-step explanation:
When you divide A, E, and G with the common factor, they all equal 5 : 9
Find the area of the region enclosed by the graphs of these equations. (CALCULUS HELP)
Answer:
[tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityAlgebra I
Terms/CoefficientsGraphingExponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Area - Integrals
U-Substitution
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
F: y = √(15 - x)
G: y = √(15 - 3x)
H: y = 0
Step 2: Find Bounds of Integration
Solve each equation for the x-value for our bounds of integration.
F
Set y = 0: 0 = √(15 - x)[Equality Property] Square both sides: 0 = 15 - x[Subtraction Property of Equality] Isolate x term: -x = -15[Division Property of Equality] Isolate x: x = 15G
Set y = 0: 0 = √(15 - 3x)[Equality Property] Square both sides: 0 = 15 - 3x[Subtraction Property of Equality] Isolate x term: -3x = -15[Division Property of Equality] Isolate x: x = 5This tells us that our bounds of integration for function F is from 0 to 15 and our bounds of integration for function G is 0 to 5.
We see that we need to subtract function G from function F to get our area of the region (See attachment graph for visual).
Step 3: Find Area of Region
Integration Part 1
Rewrite Area of Region Formula [Integration Property - Subtraction]: [tex]\displaystyle A = \int\limits^b_a {f(x)} \, dx - \int\limits^d_c {g(x)} \, dx[/tex][Integral] Substitute in variables and limits [Area of Region Formula]: [tex]\displaystyle A = \int\limits^{15}_0 {\sqrt{15 - x}} \, dx - \int\limits^5_0 {\sqrt{15 - 3x}} \, dx[/tex][Area] [Integral] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle A = \int\limits^{15}_0 {(15 - x)^{\frac{1}{2}}} \, dx - \int\limits^5_0 {(15 - 3x)^{\frac{1}{2}}} \, dx[/tex]Step 4: Identify Variables
Set variables for u-substitution for both integrals.
Integral 1:
u = 15 - x
du = -dx
Integral 2:
z = 15 - 3x
dz = -3dx
Step 5: Find Area of Region
Integration Part 2
[Area] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle A = -\int\limits^{15}_0 {-(15 - x)^{\frac{1}{2}}} \, dx + \frac{1}{3}\int\limits^5_0 {-3(15 - 3x)^{\frac{1}{2}}} \, dx[/tex][Area] U-Substitution: [tex]\displaystyle A = -\int\limits^0_{15} {u^{\frac{1}{2}}} \, du + \frac{1}{3}\int\limits^0_{15} {z^{\frac{1}{2}}} \, dz[/tex][Area] Reverse Power Rule: [tex]\displaystyle A = -(\frac{2u^{\frac{3}{2}}}{3}) \bigg|\limit^0_{15} + \frac{1}{3}(\frac{2z^{\frac{3}{2}}}{3}) \bigg|\limit^0_{15}[/tex][Area] Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = -(-10\sqrt{15}) + \frac{1}{3}(-10\sqrt{15})[/tex][Area] Multiply: [tex]\displaystyle A = 10\sqrt{15} + \frac{-10\sqrt{15}}{3}[/tex][Area] Add: [tex]\displaystyle A = \frac{20\sqrt{15}}{3}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Area Under the Curve - Area of a Region (Integration)
Book: College Calculus 10e
Please help me with this question
Answer:
arrow A
Step-by-step explanation:
6 out of 30 or 1/5 which is arrow A
please help!!! thank you!!!
uhm... I’m sorry I don’t actually know the answer to your question but I’m trying to get some points...
Find the 9th term of the geometric sequence 8, 32, 128, ...
Answer:
524,288
Step-by-step explanation:
Hope this helps!
The perimeter of a rectangular backyard is 192 feet. The yard is 43 feet wide. How long is it?
Answer:
53 feet.
Step-by-step explanation:
2(Width)+2(Length)=Perimeter
--> 2(43)+2(Length)=192
--> 86+2(Length)=192
--> 2(Length)=106
Length = 53
help me please
I need fast
Answer:
48 is the answer because if you were to have been remembering past questions that has that same picture but answered it would be 48
HELP ITS TIMEDDDDDDDDDDDDDDDDD
Answer:
100
Step-by-step explanation:
PLEASE HELPPPPPPPP !!!!!!!!!!!!!!1
Answer:
-8.45, 0.95, 8.25
Step-by-step explanation:
The easiest way to do this is to convert the fraction to a decimal, and then compare the values.
8 8/32 is equal to 8 and 1/4. Because 1/4 = 0.25, 8 and 8/32 equals 8.25.
Now, let's compare values.
Numbers we need to compare: -8.45, 0.95, 8.25
The smallest number is -8.45, then 0.95, and lastly, 8.25.
Thus the answer is
-8.45, 0.95, 8.25
so 29 is a monomial also
Answer:
yes, 29 is a monomial
Step-by-step explanation:
Consider the expression x + 6. What is the value of the expression when x = 4
Answer:
4+6
answer is 10
simple.
which of the sentences are true? 77.28 is less than 77.25, 32.641 is greater than 32.645, 67.492 is greater than 67.692, or 91.631 is less than 91.681?
Answer:
1- true
2- false
3- false
4- true
Answer:
91.631 is less than 91.681
Step-by-step explanation:
approximately:
91.631= 91.6
91.681= 91.7
Assume that each time a metal detector at an airport signals, there is a 25% chance that the cause is change in the passenger's pocket. During a given hour, 15 passengers are stopped because of a signal from the metal detector. a) Find the probability that at least 3 passengers will have been stopped due to change in their pockets. b) If 15 passengers are stopped by the detector, would it be unusual for none of these to have been stopped due to change in the pocket
Answer:
a) 0.7639 = 76.39% probability that at least 3 passengers will have been stopped due to change in their pockets.
b) 0 is less than 2.5 standard deviations from the mean, so it would not be unusual.
Step-by-step explanation:
For each passenger, there are only two possible outcomes. Either they will have been stopped due to a change in the pocket, or not. Passengers are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
A measure is considered unusual if it is more than 2.5 standard deviations of the mean.
25% chance that the cause is change in the passenger's pocket.
This means that [tex]p = 0.25[/tex]
During a given hour, 15 passengers are stopped because of a signal from the metal detector.
This means that [tex]n = 15[/tex]
a) Find the probability that at least 3 passengers will have been stopped due to change in their pockets.
This is
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{15} = 0.0134[/tex]
[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{14} = 0.0668[/tex]
[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{13} = 0.1559[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0134 + 0.0668 + 0.1559 = 0.2361[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.2361 = 0.7639[/tex]
0.7639 = 76.39% probability that at least 3 passengers will have been stopped due to change in their pockets.
b) If 15 passengers are stopped by the detector, would it be unusual for none of these to have been stopped due to change in the pocket
First we find the mean and the standard deviation:
[tex]E(X) = np = 15*0.25 = 3.75[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{15*0.25*0.75} = 1.68[/tex]
3.75 - 2.5*1.68 = -0.45
0 is less than 2.5 standard deviations from the mean, so it would not be unusual.
Please help and look at the others
Answer:
no
Step-by-step explanation:
pls give brainliest :)
E is directly proportional to f.it E is 24 then f is 6 what is E when f is 24
Answer:
E = 96
Step-by-step explanation:
Given the following data;
E = kf .......equation 1.
When E = 24, f = 6
First of all, we would have to find the constant k;
Substituting the values into eqn 1, we have;
24 = k6
k = 24/6
k = 4
To find the value of E, when f = 24
E = kf
Substituting into the equation, we have;
E = 4*24
E = 96
Please help me! I need this assignment due today!
Answer: i don't no the answer, but do u go to connexus acadeny
Step-by-step explanation:
(30)Points
Which Statement is true
A,
B.
C.
D.
Answer:
The first answer one is true
Find the slope of the line that passes through the following points.
(2.10) and (5.8)
Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
the value of the required slope can be calculated from:
[tex]s=\frac{y_1-y_2}{x_1-x_2};[/tex]
[tex]s=\frac{10-8}{2-5};[/tex]
finally,
[tex]s=-\frac{2}{3}.[/tex]
Note, the suggested option is not the only one.
calculați aplicând distributivitatea înmulțirii fata de adunare și de scădere
6/7×(2intregi și 5/6- 1intreg și 1/5)=
5/8×1intreg și 2/3+11/5
repede va rog am nevoie urgent
Răspuns:
7/5;
2 întreg 5/12
Explicație pas cu pas:
6/7 × (2 numere întregi și 5 / 6-1 numere întregi și 1/5)
6/7 * (2 5/6 - 1 1/5)
6/7 * (17/6 - 6/5)
6/7 * (85 - 36) / 30
7/7 * 49/30
1/1 * 7/5
= 7/5
2.)
5/8 × 1 întreg și 2/3 + 11/5
5/8 * (1 2/3 + 11/5)
5/8 * (5/3 + 11/5)
5/8 * (25 + 33) / 15
5/8 * 58/15
1/8 * 58/3
= 58/24
= 2 întreg 10/24
= 2 întreg 5/12
What is the missing polynomial -(20-4x-5x2)=20-7x2
Answer:
? – (20 – 4x – 5x2) = 20 – 7x2, so ? = 20 – 7x2 + (20 – 4x – 5x2)
? = 20 – 7x2 + (20 – 4x – 5x2)=20-7x²+20-4x-5x²=40-12x²-4x
the answer is 40-4x-12x^2
Step-by-step explanation:
Answer:
40-4x-12x^2
Step-by-step explanation:
What number is halfway between 8.8 and 8.9 if u answer this right im making u brainliest
Answer:
8.85
Step-by-step explanation:
You can rewrite 8.8 as 8.80. You can rewrite 8.9 as 8.90. Halfway between 8.80 and 8.90 is 8.85.
Hope this helps! Thanks for brainliest! :D
Answer:
8.85
Step-by-step explanation:
Go to the hundreths place
What is the probability of getting a vowel if you randomly pick a letter from the English alphabet?
7
Select all expressions that are equivalent to 6(7a + 9b).
(1 Point)
3(14a + 18b)
2(11a + 13b)
42a + 9b
42a + 546
Answer:
6(7a + 9b) = 3(14a + 18b)
Step-by-step explanation:
We need to find the equivalent expression for the given expression i.e. 6(7a + 9b).
We can use the distributive property here such that,
a(b+c) = ab + ac
We have, a = 6, b = 7 and c = 9
6(7a + 9b) = 6(7a) + 6(9b)
= 42a + 54b
or taking 3 common from the above expression.
= 3(14a+18b)
Hence, the correct option is (a).
Question 3 (5 points)
(02.01 MC)
Which of these is a positive externality of carpooling with friends to work?
оа
Reduced commute time
Ob
Reduced driving focus
Ос
Reduced traffic on the road
Od
Reduced time to socialize
Answer:
reduced traffic on the road
Step-by-step explanation:
just took the test :)
Answer: C) Reduced traffic on the road
Step-by-step explanation: Ive taken this test
There are 3 boxes for green chips and 5 boxes for red chips. each box has the same number of chips in it. if there are a total of 16 chips complete the tape diagram showing the number of chips in each box.
Answer:
2 in each box of courseg= green chips r= red chips
3 boxes of green chips meaning for each box there are 2 chips so there are 6 green chips. 5 boxes of red chips meaning for each box there are two chips so there are 10 red chips and 6 g + 10r = 16 chips in total
Step-by-step explanation:
Round to the nearest hundredth 94.855
Find the area of the figure.
Answer:
180 sq.cm
Step-by-step explanation:
A = 10 x 10 + 16 x 5 x 1/2 x 2
A = 100 + 16 x 5
A = 100 + 80
A = 180 square cm
Hope that helps!
A table is on sale for $469, which is 33% less the regular price. What is the regular price
Answer: I think it is 67
Step-by-step explanation:
A poster is 6 feet tall and 3 feet wide. What is it's perimeter?
Answer:
18 ft
Step-by-step explanation:
6 ft + 3 ft + 6 ft + 3 ft = 18 ft
Answer:
18 ft
Step-by-step explanation:
if its 6 feet tall and 3 feet wide you add 6+6+3+3
PLS HELP.I WILL MARK BRAINLIEST!!
Answer:
Answer in attachment photo