Answer:
y=1x-3
Step-by-step explanation:
Determine the intercepts of the line.
y + 5 = 2(x + 1)
y-intercept:
T-intercept:
Answer:
3 5 minus 2 equal 3 plus 1 equals 4
Can anyone help me with my homework
Step-by-step explanation:
1 = (-2,3)
2= (1,2)
3= (4,1)
4= (3,-3)
you have $63.50. you earn additional money by raking leaves. you purchase a sweatshirt $44.99 and you have $53.51 left. how much money did you earn raking leafs?
Work out the difference between 77.5 and 2.27.
Answer:
75.23 is the answer for 77.5-2.27
hotel has 44 storeys Each storey has 18 rooms
What is the total number of rooms in the hotel?
Answer:
792
Step-by-step explanation:
Mr.Rivera can grade 8 math tests in 10 minutes what is the teachers unit rate?
Answer:
0.8
Step-by-step explanation:
Answer: 1 minute and 25 seconds
Step-by-step explanation:
Round to the nearest hundredth 94.855
Ben loves Thanksgiving and he cooks the family turkey every year. He has noticed that over the years the amount of people who show up for his Thanksgiving dinner tends to vary, and he was wondering if this was correlated with the size of the turkeys he cooks. He recorded the weight of the turkeys he cooked (in lbs.) and the amount of guests who showed up for diner for 12 randomly chosen Thanksgivings. When he was analyzing the data he decided to perform a Box Cox transformation and he derived a lambda equal to 0.891.
What transformation does this value of lambda suggest?
a. With a lambda close to 1. it looks like we should take the square root of y
b. With a lambda close to 1. it does not look like we need to re-express the data.
c. With a lambda close to 1, it looks like we should take the log of y
d. With a lambda close to 1. it looks like we should take the log of x.
Answer:
The answer is "Option b".
Step-by-step explanation:
Calculating the common Box-Cox Transformation:
[tex]\lambda \ value \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Transformed \ data \ (Y')\\\\[/tex]
[tex]-3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-3} =\frac{1}{Y^3} \\\\ -2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-2} =\frac{1}{Y^2} \\\\ -1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-1} =\frac{1}{Y^1} \\\\ -0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\frac{1}{\sqrt{Y}} \\\\ 0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \log(Y)^{**} \\\\[/tex]
[tex]0.5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{-0.5} =\sqrt{(Y)} \\\\ 1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{1} =Y \\\\ 2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{2} \\\\ 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Y^{3} \\\\[/tex]
Please help me I’m struggling
Answer:
Step-by-step explanation:
Remark
This is a cosine law problem.
a = 12
b = 15
C = 83
Notice that the angle is enclosed by 2 given sides. That's what a cosine problem looks like (one of the two choices.
Formula
c^2 = a^2 + b^2 - 2ab*cos(C)
Solution
c^2 = 12^2 + 15^2 - 2*12*15 * cos(83)
c^2 = 144 + 225 - 360 * cos(83)
cos(83) = 0.1219
c^2 = 144 + 225 - 360 * 0.1219
c^2 = 369 - 43.884
c^2 = 325.116
sqrt(c^2) = sqrt(325.116)
c = 18.031
To the nearest tenth, the answer is 18.0 and you must include the 0.
When a certain basketball player takes his first shot in a game he succeeds with prob. 1/3. If he misses his first shot, he loses confidence and his second shot will go with prob. 1/4. If he misses his first 2 shots, his third shot will go with pro. 1/5. If he misses his first 3 shots, his fourth shot will go with prob. 1/6. If he misses his first 4 shots, the coach will remove hom from the game. Assume that the player keeps shooting until he succeeds or he is removed from the game. Let X denote the number of shots he misses until his first success or until he is removed from the game.
Required:
a. Compute the p.m.f. of X
b. Compute E[X]
Answer:
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) = 1.9
Step-by-step explanation:
From the question above:
X ; number of misses
For :
X = 0 ; P(X = 0) = 1/3 = 0.333
X = 1 ; misses first ; succeeds on second
P(X = 1) = 2/3 * 1/4 = 2/12 = 1/6 = 0.167
X = 2 ; misses first, misses second, succeeds on third
P(X = 2) = 2/3 * (1 - 1/4) * 1/5 = 2/3*3/4*1/5 = 6/60 = 1/10 = 0.10
X = 3 :misses first, misses second, misses third succeeds on fourth
P(X = 3) = 2/3 * 3/4 * (1 - 1/5) * 1/6 = 2/3*3/4*4/5*1/6 = 24/360 = 0.067
X= 4
P(X =4) = 2/3 * 3/4 * 4/5 * 5/6 = 120/ 360 = 1/3 = 0.333
X : ____ 0 ____1 ____ 2 ____ 3 ____ 4
P(x) : _ 0.333_0.167 _0.100_0.067__0.333
E(X) :
Σx*p(x) = (0*0.333) + (1*0.167) + (2*0.100) + (3*0.067) + (4*0.333)
0 + 0.167 + 0.2 + 0.201 + 1.332
= 1.9
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
Find the area of each of the following
Answer:
The area of this shape is 252.
Step-by-step explanation:
Cut the right piece of the shape into a triangle of 90 degrees, which makes the shape divided into 2 triangles and 1 rectangle.
9 x 13 = 117 (rectangle part)
15 x 9 = 135, 135/2 = 67.5
15 x 9 = 135, 135/2 = 67.5
67.5 + 67.5 + 117 = 252
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
Using the figure below, what is the trigonometric ratio of cos C?
Answer:
8/9 (choice b)
Step-by-step explanation:
The trigonometric ratios are based on the ratios of different sides.
If you remember SOH CAH TOA =
sine (sin) opposite hypotenuse
cosine (cos) adjacent hypotenuse
tangent (tan) opposite adjacent
__________________________
This is a nuemonic for these ratios.
the opposite side is the side that is directly across from the reference angle, the hypotenuse is the longest side, and the adjacent side is the side other than these two.
So cos C = adjacent side / hypotenuse side.
Since 18 is greater than 16 and 9, 18 is the hypotenuse.
the adjacent side is the side other than the opposite side and the hypotenuse which is 16
therefore cos C = 16 / 18 = 8 / 9.
For my friend I’ll mark you and thanks you
One third of the marbles were blue. How many of the marbles were blue? Draw a picture to solve the problem
uh
one third?
idunno man
Which graph shows the sequence –7, –4, –1, 2, ...?
please give the answer and explain
I beg yall i am giving all my points
please help please I will make brainliest please
Answer:
I think u add those numbers up because it's saying figure out the volume below. it must be adding.
Step-by-step explanation:
so just separate the shape into 2 . then you will have one cube 8×8×8 and a rectangle 9×4×8 find the volume of both and then add them together
Evaluate the expression if a = -2, b= 7. and c= -3
ac + b=
Answer:
13
Step-by-step explanation:
plug in the numbers
-2(-3) + 7 = ?
6 + 7 = ?
13
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
A zoo requires that 1 adult accompany every 7 students that visit the zoo. How many adults must accompany 28 students?
Answer:
4 adaults
Step-by-step explanation:
What Is the dependent variable the shoe size or the height
Answer:
The dependent variable is the shoe size
Step-by-step explanation:
please help me this is so confusing
Answer:
13.5 ft
Step-by-step explanation:
base = 18ft
To find the height, take 75% of 18
To do this, take the decimal form of 75% (which is 0.75) and multiply that by 18:
0.75 x 18 = 13.5
13.5 would be the height
Answer:
13.5?
Step-by-step explanation:
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.
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
Which conditions are necessary for hail to form?
Answer:
Normally in intense thunderstorm clouds. The temperature should be below 32 degrees Fahrenheit in the clouds where the hail forms, typically there is also large water droplets and strong updrafts.
Answer: The freezing temperature of the air below the cloud causes the water droplets to freeze.
Step-by-step explanation: Weather conditions must be just right in order for hail to occur. The most important factors are dark,gray clouds alongside thunder and lightning in freezing or below freezing temperatures. When thunder is strong enough to raise water droplets up into freezing temperatures,hail is formed.
Mrs. Crosland asked students to factor the expression 282
8. The students offered the answers shown in the box.
Carlos:
Danny
Trener
2(14%
74x1)
407x - 2)
Which student(s) offered answer(s) equivalent to the original expression?
only Danny
only Irene
both Carlos and Danny
both Carlos and Irene
Well formatted version of the question can be found in the picture attached below :
Answer:
Both Carlos and Irene
Step-by-step explanation:
Given the expression (28x - 8)
Carlos : 2(14x - 4)
Danny : 7(4x - 1)
Irene : 4(7x - 2)
The factored expression Given by Carlos, Irene and Danny can be expanded to check if it gives the same expression as that Given in the question :
Carlos :
2(14x - 4)
2*14x - 2*4
28x - 8
Danny :
7(4x - 1)
7*4x - 7*1
28x - 7
Irene :
4(7x - 2)
4*7x - 4*2
28x - 8
From.the expanded solutions obtained ;
Both Carlos and Irene's solution corresponds to the factored form of the original equation and are Hence correct
i need help with this problem
9514 1404 393
Answer:
(a) 4 in²
Step-by-step explanation:
The volume of a rectangular prism is given by the formula ...
V = Bh
where B is the area of the base, and h is the height of the prism.
We can find the area of the base by solving for B.
B = V/h
B = (12 in³)/(3 in)
B = 4 in² . . . . . . . . . . matches the first choice
The inner core of Earth begins about 3200 miles below the surface of Earth and has a volume of about 581,000,000 pi cubic miles. Approximate the radius of Earth. Round your answer to the nearest whole number.
You randomly select ONE card from a 52-card deck. Find the probability of selecting a card greater than 2 and less than 7, or a diamond.
There is 13 diamonds and 4 numbers greater than 2 but less than 7. This means your probability of selecting one of these specific cards is a 17/52 chance
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!