solve this equation x/4-20=-12
Answer:
X=32
Step-by-step explanation:
First Find common denominator
Combine fractions with common denominator
Multiply the numbers
Multiply all terms by the same value to eliminate
And I think you got it from there :))))))))))))))
Answer:
x = 32
Step-by-step explanation:
Find a common denominator
x/4 + 4 ( -20 )/4 = -12
Combine fractions with denominator
Multiply the numbers
Multiply all terms by the same value to eliminate fraction denominators
Cancel multiplied terms that are in the denominator
Multiply the numbers
Add 80 to both sides of the equation
Then simplify!
Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, where x is the number of gallons of ice cream he makes. The function g(x) represents the number of gallons of ice cream Barrett makes per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 2x2 + 4
g of x equals the square root of the quantity 3 x cubed
i am having trouble solving this due to the fact even with notes i cant understand solving hopefully someone else can help me
Answer:
short version: you substitute g(x) into the x of f(x):
f(g(x))=f(<3x^3)=2(<3x^3)^2+4=6x^3+4
if u have questions just ask me :)
Suppose you are holding stock and there are three possible outcomes. The good state happens with 20% probability and 18% return. The neutral state happens with 55% probability and 9% return. The bad state happens with 25% probability and −5% return. What is the expected return? Please enter the answer as a percent with two decimal places for instance 55.55 for 55.55% Suppose you are holding a stock and there are three possible outcomes. The good state happens with 20% probability and 18% return. The neutral state happens with 55% probability and 9% return. The bad state happens with 25% probability and −5% return. What is the standard deviation of return? Please enter a number (not a percentage). Please convert all percentages to numbers before calculating, then type in the number. Now type in 4 decimal places. The answer will be small. Suppose you are holding a stock and there are three possible outcomes. The good state happens with 20% probability and 18% return. The neutral state happens with 55% probability and 9% return. The bad state happens with 25% probability and −5% return. What is the variance of return? Please enter a number (not a percentage). Please convert all percentages to numbers before calculating, then type in the number. Now type in 4 decimal places. The answer will be small.
The standard deviation of returns is 0.0665 when a person is holding stock and there are three possible outcomes.
To calculate the expected return, we multiply the probability of each state by its corresponding return and sum them up:
Expected return = (20% * 18%) + (55% * 9%) + (25% * -5%)
Expected return = 0.20 * 0.18 + 0.55 * 0.09 + 0.25 * (-0.05)
Expected return = 0.036 + 0.0495 - 0.0125
Expected return = 0.073
The expected return is 7.30%.
To calculate the standard deviation of returns, we need to find the variance first. The variance is calculated as the weighted sum of squared deviations from the expected return:
Variance = (20% * (18% - 7.30%)^2) + (55% * (9% - 7.30%)^2) + (25% * (-5% - 7.30%)^2)
Variance = 0.20 * (0.1077)^2 + 0.55 * (0.0177)^2 + 0.25 * (-0.123)^2
Variance = 0.00232 + 0.000173 + 0.001903
Variance = 0.004423
The standard deviation is the square root of the variance:
Standard deviation = √(0.004423)
Standard deviation = 0.0665
Therefore, the value obtained is 0.0665.
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Given that (-2,3) is on the graph of y=f(x), find a point that must be on the graph of y=f(2x+1)+3. Express your answer as an ordered pair (a,b) where a and b are real numbers.
Answer for 100 points.
The ordered pair that is on the function y=f(2x+1)+3 is (-3/2, 6)
Which ordered pair is on the function y=f(2x+1)+3?
Here we know that for the function:
y = f(x)
And we know that the point (-2, 3) belongs to the function, this means that:
f(-2)= 3
Now we want to find a point on the function:
f(2x + 1) + 3
If we find x such that:
2x + 1 = -2
2x = -3
x = -3/2
Now we can evaluate the function in that value of x to get:
y = f(2*-3/2 + 1) + 3
y = f(-2) + 3
y = 3 + 3
y = 6
Then we have the point (-3/2, 6) on the function.
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5. Which of the following could represent the side
lengths of a triangle?
Check all that apply.
19, 11, 17
23, 28, 52
34,9, 25
13, 22, 14
Answer: 19,11,17 and 13,22,14
Step-by-step explanation:
The two smallest numbers (11, 17) added together must be a bigger number than the biggest number (19)...... 11 + 17 = 28
28> 19 :)
Let f(x) = x + 5 and g(x) = 1 x+5 . Find the following
compositions. 1. (f ◦ f)(x) = 2. (f ◦ g)(x) = 3. (g ◦ f)(x) = 4. (g
◦ g)(x) =
1. (f ◦ f)(x) = x + 10.
2. (f ◦ g)(x) = x + 10.
3. (g ◦ f)(x) = x + 10.
4. (g ◦ g)(x) = x + 10.
1. (f ◦ f)(x):
To find (f ◦ f)(x), we need to perform the composition of the functions f(x) and f(x).
First, let's find f(f(x)). We substitute f(x) into the function f(x), which gives us f(f(x)) = f(x + 5).
Now, let's substitute x + 5 into the function f(x). We get f(f(x)) = f(x + 5) = (x + 5) + 5 = x + 10.
Therefore, (f ◦ f)(x) = x + 10.
2. (f ◦ g)(x):
To find (f ◦ g)(x), we need to perform the composition of the functions f(x) and g(x).
First, let's find f(g(x)). We substitute g(x) into the function f(x), which gives us f(g(x)) = f(1(x + 5)).
Now, let's substitute 1(x + 5) into the function f(x). We get f(g(x)) = f(1(x + 5)) = 1(x + 5) + 5 = x + 5 + 5 = x + 10.
Therefore, (f ◦ g)(x) = x + 10.
3. (g ◦ f)(x):
To find (g ◦ f)(x), we need to perform the composition of the functions g(x) and f(x).
First, let's find g(f(x)). We substitute f(x) into the function g(x), which gives us g(f(x)) = 1(f(x) + 5).
Now, let's substitute f(x) + 5 into the function g(x). We get g(f(x)) = 1(f(x) + 5) = 1((x + 5) + 5) = 1(x + 10) = x + 10.
Therefore, (g ◦ f)(x) = x + 10.
4. (g ◦ g)(x):
To find (g ◦ g)(x), we need to perform the composition of the functions g(x) and g(x).
First, let's find g(g(x)). We substitute g(x) into the function g(x), which gives us g(g(x)) = 1(g(x) + 5).
Now, let's substitute g(x) + 5 into the function g(x). We get g(g(x)) = 1(g(x) + 5) = 1((1(x + 5)) + 5) = 1(1(x + 5) + 5) = 1(1x + 10) = 1(x + 10) = x + 10.
Therefore, (g ◦ g)(x) = x + 10.
In summary:
1. (f ◦ f)(x) = x + 10.
2. (f ◦ g)(x) = x + 10.
3. (g ◦ f)(x) = x + 10.
4. (g ◦ g)(x) = x + 10.
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giải tam giác ABC vuông tại A trong mỗi trường hợp sau:
a) b=4 cm; góc C = 62°
b) a=40 cm; góc B = 52°
c) c=42 cm; b=36 cm.
Answer:
the answer is C coz just 42 cm is abc
14. a die is rolled 12 times. given that two of the rolls came up 1, four came up 2, three came up 3, one came up 4, two came up 5, and none came up 6, how many different arrangements of the outcomes are there?
There are 120 probability ways to arrange the results because there are 12 rolls and each roll can be organised in 12 different ways.
There are 120 different layouts for the results. This is because there are 12 rolls and there are 12 possible arrangements for each roll. A 1, 2, 3, 4, 5, or 6 might appear on the first roll, and any of these six numbers could appear on the second roll. Applying this to the remaining 10 rolls yields a feasible layout of 12 x 12, which is equal to 120. In this example, two of the rolls need to land on 1, four need to land on 2, three need to land on 3, one need to land on 4, two need to land on 5, and none need to land on 6. Consequently, there are 120 different configurations that might be used.
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Nadine shops at three different grocery stores. She uses the ads to determine where to buy certain items. A large bottle is shown. The caption says forty-eight ounces, five dollars and seventy-six cents. The table shows the cost of a brand of laundry detergent at each store. The table shows the cost of detergent at three different stores. Forty-eight ounces cost five dollars and seventy-six cents at Fresh Grocers. Twenty-six ounces cost three dollars and thirty-eight cents at Jim's Corner Store. Fifty-four ounces cost five dollars and ninety-four cents at City Market. Question 1 Part A What is the cost per ounce of detergent at each grocery store?
To find the cost per ounce of detergent at each grocery store, divide the total cost by the number of ounces.
For Fresh Grocers, the cost of 48 ounces of detergent is $5.76. So, the cost per ounce would be $5.76 divided by 48, which equals $0.12 per ounce.
For Jim's Corner Store, the cost of 26 ounces of detergent is $3.38. Dividing the cost by the number of ounces gives us $3.38 divided by 26, which is approximately $0.13 per ounce.
For City Market, the cost of 54 ounces of detergent is $5.94. Dividing the cost by the number of ounces gives us $5.94 divided by 54, which is approximately $0.11 per ounce.
Therefore, the cost per ounce of detergent at Fresh Grocers is $0.12, at Jim's Corner Store is $0.13, and at City Market is $0.11.
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correlation and regression are two closely related topics in statistics. for each of the following statements, indicate whether the statement is true of correlation, true of regression, true of both correlation and regression, or true of neither correlation nor regression.
Outliers can have an impact on correlation and regression, which may result in the calculation of inaccurate parameters.
Given that,
In statistics, correlation and regression are frequently used interchangeably.
Regression models the impact of one variable on another, whereas correlation assesses the strength of the link. The following is the solution:
Correlation
Correlation and Regression
Correlation
The degree and type of the association between variables, which cannot be deduced from the regression equation, can be determined using the correlation coefficient.
Both Outliers can have an impact on correlation and regression, which may result in the calculation of inaccurate parameters.
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I need help please you haft to use elimination to solve thanks
dr. sanchez conducts a simple random sample of 500 men who became fathers for the first time in the past year. he finds that 23% of them report being unsure of their ability to be good fathers, plus or minus 4%. what is another term for the 4% value?
In linear equation, If the study was done many times the estimate of father uncertainty would be between 19% to 27%.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."a first-degree algebraic equation with the variables y = 4x + 3 or some similar expression (that is, raised only to the first power). Such an equation has a straight line for its graph.If the study was done many times the estimate of father uncertainty would be between 19% to 27%.
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how many inches would it take to cover earth?
Answer:
It would take you almost 17 days driving at 100 km/hour, 24 hours a day to ... Circumference of the Earth in inches: 1,577,727,360 inches.
Step-by-step explanation:
Use the inner product
〈f,g〉=f(−1)g(−1)+f(0)g(0)+f(3)g(3) in P2 to find the orthogonal projection of f(x)=3x2+5x−6 onto the line L spanned by g(x)=3x2−5x+5
The orthogonal projection of f(x)=3x2+5x−6 onto the line L spanned by g(x)=3x2−5x+5 is:
h(x) = ag(x) = (111/306)(3x2−5x+5) = (37/102)(3x2−5x+5)
To find the orthogonal projection of f(x)=3x2+5x−6 onto the line L spanned by g(x)=3x2−5x+5, we need to find a scalar multiple of g(x) that is closest to f(x). That is, we need to find the projection of f(x) onto the line L.
Let h(x) be the orthogonal projection of f(x) onto the line L. Then, we have:
h(x) = ag(x)
where a is a scalar to be determined. We want h(x) to be as close to f(x) as possible, so we want the vector f(x) − h(x) to be orthogonal to g(x). That is,
〈f(x) − h(x), g(x)〉 = 0
Using the given inner product, we have:
〈f(x) − h(x), g(x)〉 = 〈f(x), g(x)〉 − 〈h(x), g(x)〉
Since h(x) = ag(x), we have:
〈h(x), g(x)〉 = a〈g(x), g(x)〉 = a(〈3x2−5x+5, 3x2−5x+5〉) = 34a(3x2−5x+5)
Thus, we need to find the value of a that minimizes the expression:
〈f(x), g(x)〉 − 〈h(x), g(x)〉 = 〈f(x), g(x)〉 − a〈g(x), g(x)〉
Substituting the given functions for f(x) and g(x), we get:
〈3x2+5x−6, 3x2−5x+5〉 − a〈3x2−5x+5, 3x2−5x+5〉
Expanding the inner products, we get:
9x4 − 34x3 + 10x2 − 15x − 30 − 9a(x2 − 10x + 17)
Collecting like terms, we get:
(9 − 9a)x4 + (−34 + 90a)x3 + (10 − 153a)x2 + (−15 + 85a)x − 30
For this expression to be minimized, its derivative with respect to a must be zero:
d/da [(9 − 9a)x4 + (−34 + 90a)x3 + (10 − 153a)x2 + (−15 + 85a)x − 30] = 0
Simplifying and solving for a, we get:
a = 111/306
Therefore, the orthogonal projection of f(x)=3x2+5x−6 onto the line L spanned by g(x)=3x2−5x+5 is:
h(x) = ag(x) = (111/306)(3x2−5x+5) = (37/102)(3x2−5x+5)
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The equation x^3-6x=72 has a solution between 4 and 5
Use a trial and improvement method to find this solution. Give your answer correct to 1 decimal place. You must show ALL your working out.
Answer:
x≈4.63902101
Step-by-step explanation:
find the sum and express it in simplest form (-3x^3+4x^2+2) + (9x^3
Answer: To simplify your expression using the Simplify Calculator, type in your expression like 2(5x+4)-3x.
The simplify calculator will then show you the steps to help you learn how to simplify your algebraic expression on your own.
Type ^ for exponents like x^2 for "x squared". Here is an example:
Step-by-step explanation:
don't know if this will help but I hope s
In a survey of 1800 people who owned a certain type of car, 1260 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
70%
Step-by-step explanation:
To find the percentage, we divide the number by the total.
The amount of people who said they'd buy it again is 1260, and the total is 1800.
1260/1800=0.7.
This means that 70% were satisfied with the car.
Answer:
70% you just take the amount of people that were satisfies divided by the overall amount of people. you'll get e decimal but just move the decimal place to get the percent.
Step-by-step explanation:
Anna is ordering a taxi from an online taxi service. She has to pay a flat charge just to order the taxi, and then has to pay per mile, depending on how far she travels. She wrote an equation to represent her total cost, y=3+2. 3xy=3+2. 3x, where yy represents the total cost in dollars and cents, and xx represents the number of miles she travels. What could the number 3 represent in the equation?.
Answer:
The number 3 represents the fixed cost in the equation which is the flat charge.
Solve for g.
Give an exact answer.
10(0.4 + 0.5g) = 4g
Please help!
I need the answer as fast as possible!!
Answer:
4/5=g
thats what i got
eeee
Answer: The real answer is -4 bro.
1a. what is the slope. 1b. what is the y- intercept 1c. write the equation. PLEASE HELP IM DOING HOMEWORK AND ITS 1:00am
the slope is 1 cos its goin ovr one, up one
y-int is (0,3) or jus strait up 3 cos thts where it crosses the y
iiiif you write it using y=mx+b,, m is the slope n b is the y int so itd jus be: y=x+3
Find the area, in square units, of rectangle ABCD plotted below.
C(4,4)
D(-8,0
B(6,-2)
A(-6, -6)
Answer: 80
Step-by-step explanation:
The area of the given rectangle is 64 sq. units
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, a rectangle ABCD plotted below.
C(4,4)
D(-8,0)
B(6,-2)
A(-6, -6)
Finding the length of sides,
We know that distance between two points = √(x₂-x₁)²+(y₂-y₁)²
Distance between C(4,4) and D(-8,0) = √(4-4)²+(0+8)² = √64 = 8
Distance between C(4,4) and B(6,-2) = √(4-4)²+(-2-6)² = √64 = 8
Distance between D(-8,0) and A(-6, -6) = √(-6+6)²+(0+8)² = √64 = 8
Since, all sides are equal, we can say that the rectangle is a square with side = 8 units
Area of a square = (side)² = 8² = 64
Hence, The area of the given rectangle is 64 sq. units
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ACCORDING to the rate of electricity charge, the minimum charge up to 20 unit is Rs 80 and the cost per unit from 21 units to 250 units is Rs 7.30. How many units were consumed by Rs 1248?
Answer:
180
Step-by-step explanation:
let x = total units of electricity after 250 units
the total units of electricity consumed can be determined using the formula below
80 + 7.3x = 1248
7.3x = 1248 - 80
7.3x = 1168
divide both sides of the equation by 7.3
x = 1168 / 7.3
x = 160
total electricity consumed = 160 + 20 = 180
160
You have $20 to spend for cupcakes. If each cupcake costs $4, write and solve an inequality to show the maximum number of cupcakes you can buy.
if a person randomly draws two cards without replacement, find the probability of drawing a seven and then a four.
The probability of drawing a seven and then a four when randomly drawing two cards without replacement is 0.0045 or approximately 0.45%.
The probability of drawing a seven and then a four when randomly drawing two cards without replacement can be calculated using the following steps:
First, we need to determine the total number of possible outcomes when drawing two cards from a standard deck of 52 cards without replacement. This can be found using the combination formula:
C(52,2) = 52! / (2! * (52-2)!) = 1,326
Next, we need to determine the number of favorable outcomes where we draw a seven and then a four.
There are four sevens and four fours in a deck of 52 cards, so the probability of drawing a seven on the first draw is 4/52. Since we are not replacing the card, there are now 51 cards left in the deck, and three of them are fours. Therefore, the probability of drawing a four on the second draw is 3/51.
The probability of drawing a seven and then a four is the product of the probabilities of drawing a seven on the first draw and a four on the second draw:
P(seven and then four) = (4/52) * (3/51) = 0.0045 or approximately 0.45%.
Therefore, the probability of drawing a seven and then a four when without replacement is 0.0045 or approximately 0.45%.
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PLEASE HELP!!
Which equation is equivalent to
-3(-x - 2) = 0?
A. 3x + 6 = 0
B. 3x - 5 = 0
C. -3x + 6 = 0
D. -3x - 5 = 0
Answer:
A. 3x+6= 0
Step-by-step explanation:
When you divide - 3 with -x, you will get a positive value and same goes for - 3 and - 2
So that is how you get the answer 3x+6= 0
Choose the steeper line.
y=1/2x-3
or
y=1/4x -8
Hello!
y=1/2x-3 is steeper than y=1/4x-8.
We calculate the slope using Rise/Run.
The rise is 1, and the run is 2 (how many units we move left of right)
If you graph these lines, you will see that the line y=1/2x-3 is steeper than y=1/4x-8
Hope this helps!
~Just a cheerful gal
Answered by
\(SilentNature\)
What is the average rate of change for this exponential function for the
interval from X.= 0 to x = 2?
Answer:
1.5
Step-by-step explanation:
The average rate of change is 1.5
when x=0 , the value of y =1
when x=2 the value of y = 4
average rate of change formula = \(\frac{f(b)-f(a)}{b-a}\)
a= 0 , f(a)=1
b=2, f(b)= 4
4 - 1 / 2 - 0 = 3/2 = 1.5
What's the domain of this function graph?
A) (-♾, 0)
B) (0,♾)
C) (-♾,♾)
D) (1,♾)
Answer:
b) (0,infinity)
Step-by-step explanation:
You can look at the graph and see it starts when x=1, and continues forever in the positive direction.
If a standard six-sided die is rolled twice, what is the probability that the second number rolled is not less than the first number
rolled? Express your answer as a common fraction.
Answer:
\(\frac{7}{12}\)
Step-by-step explanation:
Probabilities
When rolling a dice twice, we can get 36 different combinations of the numbers, starting from (1,1),(1,2),(1,3),... up to (6,4),(6,5),(6,6).
From those combinations, only those where the second number rolled is not less than the first number are favorable outcomes.
Thus, the favorable outcomes are:
{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,2),(2,3),(2,4),(2,5),(2,6),(3,3),(3,4),(3,5),(3,6),
(4,4),(4,5),(4,6),(5,5),(5,6),(6,6)}
The total number of favorable outcomes is: 21. Thus the required probability is:
p=\frac{21}{36}=\frac{7}{12}
Answer: \(\frac{7}{12}\)
Can somebody please help me with this?!
Answer:
\((x - 8) + (x + 8) + x + (2x + 7) + (3x - 11)\\ 2x + x + 2x + 7 + 3x - 11 \\ 8x - 4 \\ 8x = 4 \\ x = \frac{1}{2} \)