Answer:
Step-by-step explanation:
Xavier just completed a typing class. During his last typing exam he found that he could type 92 words in four minutes. Assuming Xavier types at a constant rate, write the linear equation that represents the situation. show your work below.
What is the slope of the line represented by the equation y=4/5x-3
Answer:
4/5
Step-by-step explanation:
slope is 4/5
y = mx + b
m = slope
Which of the following statement(s) is/are NOT TRUE for binary search algorithm? (select all that apply] * Binary search algorithm can be used for any arrays. Binary search algorithm can be implement using either iterative or recursive solutions. The worst-case time complexity of binary search is greater than sequential search Binary search algorithm uses the divide and conquer strategy. None of the above
are NOT true for binary search algorithm.
Now, According to the question:
Options 1, 3 are NOT true for binary search algorithm
Hence, Binary search algorithm can be used for any arrays.
and, The worst-case time complexity of binary search is greater than sequential search
are NOT true for binary search algorithm.
In the question:
Which of the following statement(s) is/are NOT TRUE for binary search algorithm? (select all that apply]
Binary search algorithm can be used for any arrays. Binary search algorithm can be implement using either iterative or recursive solutions. The worst-case time complexity of binary search is greater than sequential search Binary search algorithm uses the divide and conquer strategy. None of the aboveLearn more about Algorithm at:
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If triangle ABC is defined by the coordinates A(-4,-4), B(2,-2), C(0,4) is dilated by a scale factor of 1/2, with resulting vertex A’ at (-2,-2). What is the center of the dilation?
A. (0,0)
B. (0,2)
C. (0,4)
D. (-4,-4)
A
Step-by-step explanation:
the origin, (0, 0)
For center of dilation Q, the image of a point A after dilation by a factor of k is ... A' = kA + (k-1)Q Then for points A, A', and dilation factor k, the center of dilation can be found to be ... (A' -kA)/(k-1) = Q
Here, that is ... Q = ((-2, -2) -(1/2)(-4, -4))/(1/2 -1) = (0, 0)/(-1/2)
Q = (0, 0)
Use the listing method to write the following set \ 1,2,3\; [0, 1, 2, 3] O (1, 2)
{Alex. Bobby. Catlıy. Dave. Emy. Frank. George, Homa. lan. Jim).Let S be the set of all possible ways to line up the kids. For example, one order might be:( Frank. George. Homa, Jim. Alex. Dave. Cathy. Emy. Ian. Bobby)The names are listed in order from left to right. so Frank is at the front of the line and Bobby is at the end of the line.Let T be the set of all possible ways to line up the kids in which George Is ahead of Dave in the line. Note that George doesn’t have to be immediately ahead of Dave. For example, the ordering shown above is an element in T.Now define a function f whose domain is S and whose target is T. Let x be an element of S, so x is one possible way to order the kids. If George is ahead of Dave in the ordering x, then f(x)=x. If Dave is ahead of George in x, then f(x) is the ordering that is the same as x, except that Dave and George have swapped places.(A) What is the output of f on the following input? (Frank, George, Homs, Jim, Alex, Dave, Cathy, Emy, Ian, Bobby)(B) What is the output of f on the following input? (Emy, Ian, Dave, Homa, Jim, Alex, Bobby, Frank, George, Cathy)(C) Is the function f a k-to-1 correspondence for some positive integer k? If so, for what value of k? Justify your answer.(D) There are 3628800 ways to line up the kids with no restrictions on who comes before whom. That is, |S|=3628800. Use this fact and the answer to the previous question to determine |T|.
GIVEN :
• 10 kids named (Frank. George. Homa, Jim. Alex. Dave. Cathy. Emy. Ian. Bobby)
,• The names are listed in order from left to right.
,• Let T be the set of all possible ways to line up the kids
(A) The output of f on the following input (Frank, George, Homs, Jim, Alex, Dave, Cathy, Emy, Ian, Bobby):
F(x)=x
• {,This is because the order of the names are still the same as given original order ,}
(B) The output of f on the following input (Emy, Ian, Dave, Homa, Jim, Alex, Bobby, Frank, George, Cathy):
• {,take note that ,Dave ,and ,George, interchanges position,,,}
,• F(x) = x
• This becomes : ( ,Emy, Ian, ,George, ,Homa, Jim,Alex,Bobby,Frank, ,Dave , ,Cathy,)
(C) This function is a 2 is to 1 , as two values will give same output ,
Meaning that K = 2
(D) Given |S| = 3628800
\(\begin{gathered} \lvert T\rvert\text{ = }\frac{\lvert S\rvert}{2\text{ }} \\ \text{ = }\frac{3628800}{2} \\ \text{ = 1814400} \end{gathered}\)Therefore; |T |= 1814400
A company plans to manufacture a rectangular box with a square base, an open top, and a volume of 452 cm3. The cost of the material for the base is 0.4 cents per square centimeter, and the cost of the material for the sides is 0.6 cents per square centimeter. Determine the dimensions of the box that will minimize the cost of manufacturing it. What is the minimum cost
Answer:
The box has sides of 11.07 cm and height of 3.69 cm.
The cost (minimum) is 147 cents per box.
Step-by-step explanation:
We have a box with open top, with a volume of 452 cm^3.
Let x: base side of the box, in cm, and y: height of the box, in cm.
Then, the volume can be expressed as:
\(V=x^2\cdot y=452\\\\y=452x^{-2}\)
This box has 4 sides and 1 base. The material cost is 0.4 cents/cm^2 for the base and 0.6 cents/cm^2 for the sides.
Then, we can write the cost as:
\(C=0.4\cdot 1\cdot (x^2)+0.6\cdot 4\cdot (xy)\\\\\\xy=x\cdot(452x^{-2})=452x^{-1}\\\\\\C=0.4x^2+2.4(452x^{-1})\\\\\\C=0.4x^2+1084.8x^{-1}\)
The value for x that gives a minimum cost can be found deriving the function C and equal to 0:
\(\dfrac{dC}{dx}=0.4(2x)+1084.8(-1\cdot x^{-2})=0\\\\\\0.8x-1084.8x^{-2}=0\\\\0.8x=1084.8x^{-2}\\\\0.8x^{1+2}=1084.8\\\\x^3=1084.8/0.8=1356\\\\x=\sqrt[3]{1356}\\\\x=11.07\)
The height can be calculated with the equation:
\(y=452x^{-2}=452(11.07^{-2})=452\cdot 0.00816 =3.69\)
The minimum cost can be calculated as:
\(C=0.4x^2+1084.8x^{-1}\\\\C(11.07)=0.4(11.07)^2+1084.8(11.07)^{-1}\\\\C(11.07)=0.4\cdot 122.51+1084.8\cdot0.09\\\\C(11.07)=49+98\\\\C(11.07)=147\)
At Kamari's Sweet Treats, cookies are packaged in boxes of 8. Depending on the cookie flavor, the most a box can cost is $16.
Let x represent how much each cookie costs. Which inequality describes the problem.
a x / 8 < 16
b 8 + x ≥ 16
c 8 x ≤ 16
d x − 8 ≤ 16
The inequality that describes the problem is C. 8x ≤ 16
Which inequality describes the problem?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Since Kamari's Sweet Treats, cookies are packaged in boxes of 8 and the most a box can cost is $16. This will be:
8x ≤ 16
The correct option is C.
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In which month was the average number of hours worked by the website designers closest to 50 hours
- January
- February
- March
- April
The correct answer is March, as it was the month in which the average number of hours worked by the website designers was closest to 50 hours.
What is a month?A month is a unit of time typically consisting of 30 or 31 days. It is used for measuring periods of time, for example, when we say something happened "a month ago". Months are used in both the Gregorian calendar and the Julian calendar.
This data was gathered from a survey of website designers, which was conducted to determine the average number of hours each month that these professionals spent working.
In January, the average number of hours worked was 46.5. In February, it was 48.8. However, in March, the average number of hours worked was 49.4, which was the closest to 50 hours. This was followed by April, in which the average was 49.7.
Overall, it can be concluded that March was the month in which the average number of hours worked by website designers was closest to 50 hours. This is important data for website designers, as it allows them to understand the amount of time they should be spending on their work in order to be successful. It also helps employers gauge the workload of their website designers and ensure they are providing an adequate amount of work.
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Compare. Choose the correct symbol.
A) <
B) >
C) =
Answer:
[B] >
Step-by-step explanation:
One way to find the correct symbol is
Cross Multiply:
\(\frac{1}{3}\) ⊂⊃ \(\frac{1}{4}\)
Don't know how to cross multiply?
Answer to cross multiply - Multiplying the numerator of the left-hand fraction by the denominator of the right-hand fraction. That the first step. After that, multiply the numerator of the right-hand fraction by the denominator of the left-hand fraction. Which is shown below in picture.
Now let's start:
\(\frac{1}{3}?\frac{1}{4}\)
1 × 4 = 4
1 × 3 = 3
Thus we have:
\(^4\frac{1}{3}?\frac{1}{4}^3\)
4 is bigger than 3
Thus the correct symbol is:
\(\frac{1}{3} > \frac{1}{4}\)
Kavinsky
The residual for a predicted relative abundance when the rainfall was 3 inches is 1.25. What is the actual relative abundance when the rainfall was 3 inches
Answer:
The actual relative abundance will be "7.59".
Step-by-step explanation:
The residual on something like a curve anywhere at a point becomes expressed as the maximum at either the position between some of the real y-value as well as the expected y-value. Consequently, the difference regarding true relative abundance as well as expected relative abundance seems to be 1.25 whether we presume that the x-variable represents rainfall, as well as they-variable, represents the relative abundance of locusts.The predicted relative abundance for 3 inches rainfall will be:
= \(6.7 - (0.12\times 3)\)
= \(6.34\)
The residual will be:
= \(actual - predicted \ relative \ abundance\)
= \(1.25\)
Now,
The actual relative abundance will be:
= \(1.25 + predicted \ relative \ abundance\)
= \(1.25 + 6.34\)
= \(7.59\)
Remember that perhaps the residual positive value means that even the calculation underestimates the relative abundance. The real relative abundance, however, is 7.59.
The sum of the opposite of a number and six is at most five
Pls quickly help!
Answer:
-x+6≤5
-x≤5-6
-x≤-1
x≤1
given t(m)=7-9m, find t(m)=-2
Answer:
m=1
Step-by-step explanation:
-2=7-9m so -9=-9m so m=1
Help! I honestly dont get this !
Answer:
i don't get that ether
Step-by-step explanation:
I need help with questions 1,2, and 3. This class is microeconomics
Graph cookies and coffee, slope -2. Ben buys 2 cookies and 2 coffees. To optimize, allocate budget where MU per dollar is equal.
What is budget?A budget is a financial plan that outlines expected income and expenses over a certain period. It helps individuals or organizations manage their money and make informed decisions about spending and saving.
What is consumption?Consumption refers to the use of goods and services by individuals, households, or organizations. It is an essential part of the economy and can be influenced by factors such as income, preferences, and prices.
According to the given information:
To draw Ben's indifference curves, we need to plot different combinations of cookies and coffee that give Ben the same level of satisfaction. Since the slope of all his indifference curves is constant at -2, they will be downward-sloping straight lines. We can plot several indifference curves by varying the level of satisfaction they represent. The budget constraint is a straight line that represents all possible combinations of cookies and coffee that Ben can purchase with his $12 budget. The slope of the budget constraint is the ratio of the prices of coffee and cookies, which is 2:1. Ben optimally purchases the point where his budget constraint is tangent to his highest attainable indifference curve. In other words, he maximizes his satisfaction subject to his budget constraint. In the graph above, this point is labeled as "Optimal Consumption." At this point, Ben purchases 2 cookies and 2 coffees, spending $8 on coffee and $4 on cookies, which exhausts his $12 budget.To optimize his consumption, Ben should allocate his budget between cookies and coffee such that the ratio of their marginal utilities equals their prices. In other words, Ben should choose the combination of cookies and coffee where the marginal utility per dollar spent is the same for both goods. At his current consumption level of 3 coffees and 0 cookies, Ben's marginal utility per dollar spent on cookies is 2/2 = 1, and his marginal utility per dollar spent on coffee is 1/4 = 0.25. Since the marginal utility per dollar spent on cookies is higher than that of coffee, Ben should decrease his consumption of coffee and increase his consumption of cookies to achieve the optimal consumption level. He should continue adjusting his consumption until the marginal utility per dollar spent on each good is equal.To know more about budget and consumption visit:
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Please look at the photo! Thank you.
The output value of (g/f)(x) is 9x/(7x + 28).
The domain of g/f is (-∞, -4) U (-4, ∞)..
How to determine the corresponding composite function?In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;
(g/f)(x) = (9/(x + 4)) ÷ 7/x
By rearranging the mathematical expression using the multiplication operation, we have the following:
(g/f)(x) = (9/(x + 4)) × x/7
(g/f)(x) = 9x/(7x + 28)
For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;
7x + 28 ≠ 0
7x ≠ -28
x ≠ -4
Domain = (-∞, -4) U (-4, ∞).
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Describe the graph that would be used to solve the equation -x^2+4=x+2 using a system of equations. How will you use the graph to find the solution(s)?
The solution of the equation -x² + 4 = x + 2 is at x = -2 and x = 1
What is an equation?An equation is an expression that shows how numbers and variables are related to each other.
Given the quadratic equation:
-x² + 4 = x + 2
Collecting like terms:
x² + x - 2 = 0
Plotting using a graph; the solution of the equation can be gotten by getting the point the graph crosses the x axis.
The solution is at x = -2 and x = 1
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A plot of land is in the shape of a triangle. If one side is x meters, a second side is (5x - 2) meters and a third side is (7x-3) meters, express the perimeter of the lot as a simplified expression in x.
Hey there! I'm happy to help!
The perimeter is the distance around a shape. Let's add up the lengths of our sides to ind it.
x+5x-2+7x-3
We combine all of the x values.
x+5x+7x=13x
And all of the constants.
-2-3=-5
Therefore, the perimeter is 13x-5.
Have a wonderful day! :D
Helppppppppppppppppp
Stephanie has a spinner with sections labelled 1, 2 and 3.
She spun it 100 times and recorded how many times it landed on each section in
the table below.
Work out the relative frequency of landing on an odd number, giving your answer
as
a) a fraction in its simplest form.
b) a decimal.
Section
1
Frequency 17
2
20
3
63
Answer:
\(\frac{4}{5}\)
0.8
Step-by-step explanation:
Happy to help:)
I can round to the nearest hundred 37,420 rounds to
the nearest hundred would be 37, 400
find area of figure
3 yd
8 yd
15 yd
13 yd
Answer:
C, 15 yd
Step-by-step explanation:
Hope this helps
Can somebody help me please
93,101,109,117,125,133,141,149,157,165
11- In
how many ways 3 mathematics books, 4 history books ,3
chemisidy books and a biology books can be arranged
on an Shelf so thet all books of the same subjects are
together!
Answer: 20,736
Step-by-step explanation:
Math and History and Chemistry and Biology and Subjects
3! x 4! x 3! x 1! x 4! = 20,736
Help Please ASAP!!! Not sure how to solve this problem. Can someone help me please? Thank you for your help!
Answer:
This question is formatted incorrectly
Step-by-step explanation:
Please Help Will Give Brainliest
Answer:
1) 70 for both of them
2) Plot A's range is 100-50 = 50, Plot B's range is 100 - 40 = 60 so Plot A has the lesser range
3) Plot B's IQR is 85 - 60 = 25, Plot A's IQR is 80 - 65 = 15 so Plot B has the greater IQR
4) A: 80, B: 85
5) A: 65, B: 60
6) 50
7) 100
8) Plot B, see #2 for work
9) 50% - 50% of data is always between Q1 and Q3
10) 25%
11) 25%
100 POINTS!! Identify the sample space of the probability experiment: answering a multiple choice question with A, B, C, and D as the possible answers.
Answer:
(A, B, C, D)
What is the sample space of the probability?
Sample space is the set of all possible outcomes of a random experiment.
Here given possible outcomes are A, B, C, D
Hence, Sample space of probability = (A, B, C, D), total 4 different choices
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Answer :
The set of all possible out in a random experiment is refer to as sample space.
The reading above is an example of discrete(finite) sample space.
Following the Discrete Probability Law if a sample space consist of a finite number ex:{1 ,2 ,3} . The probability is the sum of the probabilities of the elements.
Therefore answering a multiple choice questions with A,B,C and D are four choices with possible answer of A,B,C and D.
I don't remember how to do this. plz help
Answer:
TRUE
Step-by-step explanation:
In a triangle having sides a, b and c units,
For a right triangle following condition should be fulfilled,
(Largest side)² = (Leg 1)² + (Leg 2)² [Pythagoras theorem]
If the sides of a triangle are 4, 12 and \(\sqrt{160}\)
\((\sqrt{160})^{2}\) = 4² + 12²
160 = 16 + 144
160 = 160
True.
Therefore, the given statement is TRUE.
Scotty bought a used truck for $3,000. If it had been new, he
-would have paid $15,000.-What is the percent decrease?
Answer:
20%
Step-by-step explanation:
Percentage Calculator: 3000 is what percent of 15000? = 20%
How many ways can 10 books be arranged on a shelf?
Place them horizontally or vertically