Answer:
C.) I x - 1 I + 3
Step-by-step explanation:
Since the bottom of the line is 3 units up, the equation should have "+ 3". Since the bottom of the line is one unit to the right, the equation should have "x - 1"
Cameron Indoor Stadium at Duke University is one of the most revered sites in all of college basketball, as well as in all of sports period. Duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. Cameron Indoor Stadium is capable of seating 9,460 people. For each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance. If each ticket costs $45.50, find the domain and range of this function.
Answer:
Step-by-step explanation:
The domain of a function is the set of values that satisfies the independent variable while the range of the function is the set of values that satisfies the dependent variable.
Since for each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance, then the dependent variable is the amount of money while the independent variable is the number of people. The domain is between 0 and 9460 people. Therefore, the domain of this function is
0 ≤ x ≤ 9460
Where x represents number of people.
For the range, the lowest total sales is 0 × 45.5 = $0
The highest total sales is
9460 × 45.5 = $430430
The range is
0 ≤ y ≤ 430430
Where y represents total sales
Clara wants to paint her bedroom skyblue ,so she mixes blue and white paint.Then she decided to mix paint for her living room.To make sure she has enough paint for the larger room,Ciara plans to use double the amount of white paint and double the amount of blue paint.Which room would be the lighter shade
Answer:
the living room
Step-by-step explanation:
Consider the following word problem: Twenty more than four times a number is equal to the difference between 2 and twice the number. Find the number.
Given:
The objective is to find the number.
Explanation:
Consider the unknown number as x,
First, four times the number can be written as 4x.
Twenty more than 4 time the number will be,
\(4x+20\ldots\ldots.\text{ (1)}\)Then, twice the number can be represented as 2x.
And the difference between 2 and twice the number will be,
\(2-2x\ldots\ldots..(2)\)Now, equate both the equations (1) and (2).
\(\begin{gathered} 4x+20=2-2x \\ 4x+2x=2-20 \\ 6x=-18 \\ x=\frac{-18}{6} \\ x=-3 \end{gathered}\)Hence, the unknown number is -3.
Consider the multiple regression output shown: The regression equation is Y = 45.3 -6.56X1 + 1.70X2 + 1.40x3 + 0.426X4. X3 Predictor Coef SE Coeft P Constant 45.32 19.62 2.31 0.060 X1 -6.556 1.018 -6.44 0.001 X2 1.697 1.187 1.43 0.202 1.4040 0.4961 2.83 0.030 X4 0.4263 0.1416 3.01 0.024 S = 2.04939 R - Sq = 99.8% R - Sq (adj) = 99.6% Analysis of Variance Source DFSS MS FP Regression 4 11049.2 2762.3 650.66 0.000 Residual Error 6 25.2 4.2 Total 10 11074.4 One case in the sample has Y = 24,X1 = 10, X2 = 8, X3 = 6, and X4 = 48. What is the predicted response for this case? What is the residual? Round your answers to one decimal place. One case in the sample has Y = 24, X1 = 10, X2 = 8, X3 = 6, and X4 = 48. What is the predicted response for this case? What is the residual? Round your answers to one decimal place. Predicted response: i Residual: i
The residual for this case is approximately -0.4.
The predicted response for the given case can be obtained by substituting the values of X1, X2, X3, and X4 into the regression equation:
Y = 45.32 - 6.556X1 + 1.697X2 + 1.404X3 + 0.426X4
Substituting X1 = 10, X2 = 8, X3 = 6, and X4 = 48:
Y = 45.32 - 6.556(10) + 1.697(8) + 1.404(6) + 0.426(48)
Y ≈ 24.4
The predicted response for this case is approximately 24.4.
The residual is calculated by subtracting the predicted response from the actual response:
Residual = Actual response - Predicted response
Residual = 24 - 24.4
Residual ≈ -0.4
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Please help! I will mark as brainliest IF answer is right. <3
Answer:
f(x - 2) = -4x + 4Step-by-step explanation:
f(x) = -4x - 4
f(x - 2) = -4 (x - 2) - 4
f(x - 2) = -4x + 8 - 4
f(x - 2) = -4x + 4
Help out with this question please!
Answer:
my answer is A
Step-by-step explanation:
if you work out the equation where you know that at the x intercept y=0 you will find A to be true
What is the volume of a sphere with a diameter of 7.9 ft, rounded to the
nearest tenth of a cubic foot?
the radius of a sphere is increasing at a rate of 2 mm/s . how fast is the volume increasing when the diameter is 60 mm ?
When the diameter of the sphere is 60 mm, its radius is 30 mm. The formula for the volume of a sphere is V = (4/3)πr^3, where r is the radius.
To find how fast the volume is increasing, we need to take the derivative of V with respect to time, which gives dV/dt = 4πr^2 (dr/dt). Substituting the given values, we get dV/dt = 4π(30)^2 (2) = 7200π mm^3/s. Therefore, the volume of the sphere is increasing at a rate of 7200π mm^3/s when the diameter is 60 mm. The radius of a sphere is increasing at a rate of 2 mm/s. When the diameter is 60 mm, the radius is 30 mm. The volume of a sphere is given by the formula V = (4/3)πr³. Using the chain rule, dV/dt = (4/3)π(3)r²(dr/dt), where dV/dt is the rate of volume increase and dr/dt is the rate of radius increase. Plugging in r = 30 mm and dr/dt = 2 mm/s, we get dV/dt = 4π(30)²(2) = 7200π mm³/s. So, the volume is increasing at a rate of 7200π mm³/s when the diameter is 60 mm.
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Can someone please explain to me how to solve this and problems like this in the easiest way possible
answer:
I forgot how to do this haven't done it in a while.
Step-by-step explanation:
Sorry I couldn't help.
\((\stackrel{x_1}{-5}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{(-5)}}}\implies \cfrac{-6}{-3+5}\implies \cfrac{-6}{2}\implies -3\)
\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{-3}(x-\stackrel{x_1}{(-5)})\implies y-10=-3(x+5) \\\\\\ y-10=-3x-15\implies y=-3x-5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
as you can see, the "b" part is -5, or namely the y-intercept is at (0 , -5).
plz help plzplzplzplz
Answer:
It is C.
First of all, we can see that angle 1 is 132 degrees because they are the same angles/measurements. Therefore, angle 1 and angle 3 are also supplementary as they create a straight line, or 180 degree angle. As they are supplementary, angle 1 + angle 3 = 180. We know that angle 1 is 132, so we have 132 + angle 3 = 180, and angle 3 is 42 degrees.
Decrease 100kg by 30%
Answer:
70
Step-by-step explanation:
the 30/100 of 100 is 30
So 100-30=70
Answer:
70kg
Step-by-step explanation:
30% of 100kg is
--> 100 x 30/100 which is 30kg.
If you want to decrease 100kg by 30%, you can take away 30kg from 100kg.
--> 100 - 30 = 70
So 70kg is the remainder.
A sequence is defined by the explicit formula an=3n+4. Which recursive formula represents the same sequence of numbers?
The recursive formula that represents the same sequence of numbers as the explicit formula an = 3n + 4 is an = an-1 + 3, with the initial term a1 = 7.
A recursive formula defines a sequence by expressing each term in terms of previous terms. In this case, the explicit formula an = 3n + 4 gives us a direct expression for each term in the sequence.
To find the corresponding recursive formula, we need to express each term in terms of the previous term(s). In this sequence, each term is obtained by adding 3 to the previous term. Therefore, the recursive formula is an = an-1 + 3.
To complete the recursive formula, we also need to specify the initial term, a1. We can find the value of a1 by substituting n = 1 into the explicit formula:
a1 = 3(1) + 4 = 7
Hence, the complete recursive formula for the sequence is an = an-1 + 3, with the initial term a1 = 7. This recursive formula will generate the same sequence of numbers as the given explicit formula.
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CAN SOMEONE HELP PLS
Answer:
A
Step-by-step explanation:2^4*6^4=20736 which is equal to (2*6)^4
Answer:
A
Step-by-step explanation:
Question
Which of the following is equivalent to x2 – 5x + 6?
o (x - 2)(- 3)
o (x - 2)(x+3)
o (x+6)(x - 1)
o (x-6)(x + 1)
Answer:
Option one (x-2)(x-3)
Step-by-step explanation:
We have x²-5x+6 =0
X²-3x-2x+6=0
X(x-3)-2(x-3)=0
(x-2)(x-3)=0
I don't understand any recursive sequences please help explain so
The graph of f(x) = |x| is reflected across the y-axis and translated to the left 5 units. Which statement about the domain and range of each function is correct?
A).Both the domain and range of the transformed function are the same as those of the parent function.
B).Neither the domain nor the range of the transformed function are the same as those of the parent function.
c).The range of the transformed function is the same as the parent function, but the domains of the functions are different.
D).The domain of the transformed function is the same as the parent function, but the ranges of the functions are different.
The statement that is true about the domain and range of each function is; A) Both the domain and range of the transformed function are the same as those of the parent function.
How to interpret reflection of a function?We are told that the graph of f(x) = |x| is reflected across the y-axis. Thus;
|-x| = x
Now, the function is translated to the left by 5 units and so the transformed function is; g(x) = |x + 5|
Thus, from the graph, we get;
Domain of both functions is the set of all real numbers.
Range of both functions is the set {y|y ≥ 0}
Thus, we conclude that Both the domain and range of the transformed function are the same as those of the parent function.
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How would I solve (p^3)^7?
Answer:
this is your ans
Step-by-step explanation:
mark brainliest please
What happens to the control limits as the sample size is increased? The sample size does not affect the control limits. The UCL comes closer to the process mean and the LCL moves farther from the process mean as the sample size is increased. The LCL comes closer to the process mean and the UCL moves farther from the process mean as the sample size is increased. Both control limits move farther from the process mean as the sample size is increased. Both control limits come closer to the process mean as the sample size is increased. (c) What happens when a Type I error is made? The process will be declared in control and allowed to continue when the process is actually out of control. The process will be declared out of control and adjusted when the process is actually in control. (d) What happens when a Type II error is made? The process will be declared in control and allowed to continue when the process is actually out of control. The process will be declared out of control and adjusted when the process is actually in control. (e) What is the probability of a Type I error for a sample of size 10 ? (Round your answer to four decimal places.) What is the probability of a Type I error for a sample of size 20 ? (Round your answer to four decimal places.) What is the probability of a Type I error for a sample of size 30 ? (Round your answer to four decimal places.) (f) What is the advantage of increasing the sample size for control chart purposes? What error probability is reduced as the sample size is increased? Increasing the sample size always increases the likelihood that the process is in control and reduces the probability of making a Type II error: Increasing the sample size always increases the likelihood that the process is in control and reduces the probability of making a Type I error. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type II error. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type I error.
When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.Hence, (c) When a Type I error is made, the process will be declared out of control and adjusted when the process is actually in control.
(d) When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control. The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010. Increasing the sample size provides a more accurate estimate of the process mean and reduces the probability of making a Type I error.
The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the
When the sample size is increased, the LCL comes closer to the process mean and the UCL moves farther from the process mean.The process will be declared out of control and adjusted when the process is actually in control.When a Type II error is made, the process will be declared in control and allowed to continue when the process is actually out of control.
The probability of a Type I error for a sample of size 10 is 0.0027, for a sample of size 20 is 0.0014, and for a sample of size 30 is 0.0010.The advantage of increasing the sample size for control chart purposes is that the error probability is reduced as the sample size is increased.
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Find the side indicated by the variable. Round to the nearest tenth.
PLEASE HELP
Answer:
d
Step-by-step explanation:
listen bud i am trying to level up so i am doing the challenge 25 questions for 400 points i need 3 brainliest on the way can you help me out with this?
Write the quadratic equation whose roots are 5 and 4, and whose leading coefficient is 2.
If the roots are 5 and 4, the factors are (x - the roots). So the factors are (x-5) and (x+4). The leading coefficient tells us what the factors are multiplied by.
Therefore, the equation is (1) (x-5)(x+4) = x^2 -x 20
given f(x)=3x+2 and g(x)= √x-1, determine the following: f(g(17))=
The function operation g(f(8) in the given functions f(x) = 3x+2 and g(x) = √(x-1) is 5.
We have,
A function is simply a relationship that maps one input to one output.
Given that:
f(x) = 3x + 2
g(x) = √( x - 1 )
g(f(x)) = ?
First, set up the composite result function:
Evaluate g( 3x + 2 ) by substituting in the value of f into g.
g( 3x + 2 ) = √( ( 3x + 2 ) - 1 )
Simplify
g( 3x + 2 ) = √( 3x + 2 - 1 )
g( 3x + 2 ) = √( 3x + 1 )
Evaluate the result function by replacing the x with 8.
g( f(x) ) = √( 3(8) + 1 )
g( f(x) ) = √( 24 + 1 )
g( f(x) ) = √( 25 )
g( f(x) ) = 5
Therefore, the composite result function g( f(x) ) is 5.
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complete question;
Given f(x)=3x+2 and g(x)= √x-1, determine the following: g(f(8))=
When cams babby brother started drinking this bottle held 270 millilliters of milk how much didi the babby drink
Answer:
150mL
Step-by-step explanation:
Given
\(Initial = 270mL\)
See attachment for bottle
Required
The quantity drank
In the attached, bottle, the quantity is at 120mL mark.
This means that:
\(Final = 120mL\)
So, the quantity drank is calculated as:
\(Q = Initial - Final\)
\(Q = 270mL - 120mL\)
\(Q = 150mL\)
Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hundreds of cubic feet, HCF). When
graphed, the function gives a line with a slope of 1.45. See the figure below.
If the monthly cost for 22 HCF is $44.50, what is the monthly cost for 16 HCF?
?
Answer:
I hope that you are doing well, during this weird time; and that this message finds you in a good place.
To get you started on this problem, you will want to think about how to go about graphing this linear function. You want to keep in mind that you want to plot your dependent variable on the y-axis, as it changes with respect to your independent variable (plotted on the x-axis). In this problem, the cost of the water bill depends on the amount of water used, in HCF. So the graph should be plotted with cost on the y-axis, and HCF on the x-axis.
It follows that you are given the coordinates of (16, $48.37) and (22, y2); where y2 represents the cost when using 22 HCF. You are also given the slope of your line (m, in y = mx + b format). You may recall that you can set-up a slope as the change in y over the change in x, or the "rise over the run" [m = (y2-y1) / (x2-x1)]. We can set this problem up, using this equation to solve for y2 (the cost at 22 HCF) algebraically.
So we would set up the problem as 1.65 = (y2-48.37)/(22-16). We then solve by combining like-terms and using inverse operations as follows:
1.65 = (y2 - 48.37) / 6
1.65(6) = y2 - 48.37
9.9 = y2 - 48.37
y2 = $58.27
Step-by-step explanation:
3. In an experiment a pair of dice is thrown and if the total number is 7, then a coin is thrown. What is the size of the sample set? 36 37 O 48 O 54 O 56 √ 42 O 72 O 46 O 38 O 44 4. A universal set S contains two events A and B. Given the event probabilities P(A) = 0.38, P(B) = 0.42, P(A' | B) = 0.64 what is the value of P(An B)? 0.0814 O 0.1654 O 0.0424 O 0.2116 0.2442 O 0.3046 O 0.1268 ✓ 0.1512 O 0.1854 O 0.2238
3. In an experiment where a pair of dice is thrown and a coin is thrown if the total number is 7, Therefore, the size of the sample set is 36 - 6 + 2 = 32.
When two dice are thrown, there are 6 possible outcomes for each die, resulting in a total of 6 x 6 = 36 possible outcomes. However, since a coin is thrown only when the total number is 7, we need to exclude the cases where the total is not 7.
Out of the 36 possible outcomes, there are 6 outcomes where the total is 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1). For these 6 outcomes, an additional coin is thrown, resulting in 2 possible outcomes (heads or tails).
The correct answer is O 32.
4. To find the value of P(A ∩ B), we can use the formula:
P(A ∩ B) = P(A) - P(A' | B) * P(B)
Given:
P(A) = 0.38
P(B) = 0.42
P(A' | B) = 0.64
We can substitute these values into the formula:
P(A ∩ B) = 0.38 - 0.64 * 0.42
P(A ∩ B) = 0.38 - 0.2688
P(A ∩ B) ≈ 0.1112
The value of P(A ∩ B) is approximately 0.1112.
The correct answer is O 0.1112.
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Ben owns a townhome valued at $195,000, but still owes $120,000 on the loan. ben has $5,000 in savings and a balance of $1,400 on his credit cards. there is a balance of $20,000 owed on ben’s car which is valued at $38,000. what is ben’s net worth? a. $96,600 b. $97,600 c. $99,400 d. $106,600 please select the best answer from the choices provided a b c d
Answer:
Choice a : $96,600
Step-by-step explanation:
The net worth of a person is computed as total assets - total liabilities in money terms
Ben's assets are as follows:
Townhome: $195,000
Savings: $5000
Car: $38,000
Total Assets: 195000 + 5000 + 38000 = $238,000
Ben's liabilities
Home Loan: $120,000
Credit Card: $1,400
Car Loan: $20,000
Total Liabilities = 120000 + 1400 + 20000 = $141,400
Net Worth = 238000 - 141400 = $96,600 (Answer is choice a)
Answer:
A
Step-by-step explanation:
i need the prosces plis is for tomorrow
Answer:
p) = 17/30 or 0.56
q) = 191/60 or 3 11/60
help me pleaseeeeeeeeeeeee
Answer:
Step-by-step explanation:
1. Since we know that Lila wants to use 1 cup of pretzels, we can multiply 1/2 x 1/2, which is 1.
2. Now that we multiplied 1/2 by 1/2, we have to multiply 1 1/4 by 1/2.
So 5/4 x 1/2 is 5/8.
3. Lila will need 5/8 cups of raisins.
Geometric mean
Pls help thank u
Answer:
Step-by-step explanation:
1). Geometric mean of a and b = \(\sqrt{a\times b}\)
Therefore, geometric mean of 2 and 50 = \(\sqrt{2\times 50}\)
= 10
2). By geometric mean theorem,
\(\frac{JM}{KM}=\frac{KM}{ML}\)
\(\frac{6}{e}=\frac{e}{24}\)
e² = 6 × 24
e = √144
e = 12
Similarly, \(\frac{JL}{KJ}=\frac{KJ}{JM}\)
\(\frac{6+24}{d}=\frac{d}{6}\)
d² = 6 × 30
d = √180
d = 6√5
And \(\frac{JL}{KL}=\frac{KL}{ML}\)
\(\frac{6+24}{c}=\frac{c}{24}\)
c² = 30 × 24
c = √720
c = 12√5
What is the slope of the line segment XY?
Answer:
slope of line segment XY is -2.
Step-by-step explanation:
plz gve me points thank you
From the given graph, we have
coordinate of the point X is (-1,3)
coordinate of the point y is (1,-1)
The slope of a line through the point is given by
Here, we have
On substituting these value in the above formula of slope, we get
Therefore, the slope of line segment XY is -2.
in a survey 312 respondents or 52% stated they prefer sleeping on a firm mattress rather than a soft mattress how many respondents took part in the survey
Compute the probability of event E if the odds in favor of E are 16 4 1911 (A) P(E) = (B) P(E) = (C) P(E) = (D) P(E) = (Type the probability as a fraction. Simplity your answer) (Type the probability as a fraction. Simplify your answer) (Type the probability as a fraction. Simplify your answer) (Type the probability as a fraction. Simplify your answer) 1
Given the odds in favor of event E as 16 to 4, the probability of event E is 4/5.The probability of event E is then the number of favorable outcomes divided by the total number of outcomes. So, P(E) = 16/20 = 4/5.
The odds in favor of event E are given as 16 to 4. To compute the probability of event E, we need to convert these odds into a fraction.
The odds in favor of E are 16 to 4, which means that for every 16 favorable outcomes, there are 4 unfavorable outcomes.
To find the probability, we add the number of favorable outcomes and the number of unfavorable outcomes together. In this case, 16 + 4 = 20.
The probability of event E is then the number of favorable outcomes divided by the total number of outcomes. So, P(E) = 16/20 = 4/5.
Therefore, the probability of event E is 4/5.In summary, given the odds in favor of event E as 16 to 4, the probability of event E is 4/5.
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