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T.A. =
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Related Questions
Use the quadratic formula to solve the equation 2 - 5x-9=0
Answers
The answer is x = 5±√61/2, I really hope this helps (:
Angela, Breanna, Christine, Debbie, and Esther are in a club and they need to pick two people to go to a
meeting. They write each person’s name on equally sized pieces of paper, put them in a hat, and mix the
papers thoroughly. Find the probability model for this chance process and use it to determine the probability
that Angela gets to go to the meeting.
Answers
So the probability that Angela gets to go to the meeting is 2/5.
What is probability?Probability is a measure of the likelihood or chance of an event occurring. It is a numerical value between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain. Probability can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes. It is an important concept in many fields, including mathematics, statistics, physics, and engineering, and is used to make predictions, analyze data, and make decisions under uncertainty.
Here,
There are a total of 5 people in the club, so there are 10 possible pairs of people that could be chosen to go to the meeting. Since each pair is equally likely to be chosen, the probability of any particular pair being chosen is 1/10.
To determine the probability that Angela gets to go to the meeting, we need to count the number of pairs that include Angela. There are 4 other people in the club, so there are 4 possible pairs that include Angela. Therefore, the probability that Angela gets to go to the meeting is:
P(Angela) = number of pairs that include Angela / total number of pairs
= 4 / 10
= 2 / 5
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13. The profit, in thousands of dollars, from the sale of x kilogram of coffee bean can be modelled by the function () = 5−400 +600 . a) State the asymptotes and the intercepts. Then, sketch a graph of this function using its key features. (5 pts) b) State the domain and range in this context. (2 points) c) Explain the significance of the horizontal asymptote. (1 point) d) Algebraically, find how much amount of tuna fish, in kg, should be sold to have a profit of exactly $4000? (4 points) SOLUTION
Answers
Answer: a) The profit function can be written as:
P(x) = 5x - 400x + 600
To find the asymptotes, we can look at the denominator of the second term, which is (x - 3). This means that there is a vertical asymptote at x = 3. To find the intercepts, we can set P(x) = 0:
5x - 400x + 600 = 0
Solving for x, we get:
x = 1.5 and x = 2.5
Therefore, there are x-intercepts at (1.5, 0) and (2.5, 0). To sketch the graph, we can also note that the coefficient of x^2 is negative, which means that the graph is a downward-facing parabola.
b) The domain of the function is the set of all possible values of x, which in this context represents the amount of coffee sold. Since we cannot sell a negative amount of coffee, the domain is x ≥ 0.
The range of the function is the set of all possible values of P(x), which represents the profit. Since the coefficient of x^2 is negative, the maximum profit occurs at the vertex of the parabola. The vertex has x-coordinate:
x = -b/(2a) = -(-400)/(2(-200)) = 1
Therefore, the maximum profit occurs when x = 1. The vertex has y-coordinate:
P(1) = 5(1) - 400(1) + 600 = 205
Since the coefficient of x^2 is negative, the range is (-∞, 205].
c) The horizontal asymptote of the function is y = -400, which represents the long-term average profit per kilogram of coffee sold. This means that as x gets very large, the profit per kilogram approaches -400. This could happen, for example, if the cost of producing the coffee increased significantly while the price remained the same.
d) To find the amount of coffee that must be sold to make a profit of $4000, we can set P(x) = 4000 and solve for x:
5x - 400x + 600 = 4000
Simplifying, we get:
-395x = -3400
Dividing both sides by -395, we get:
x ≈ 8.61
Therefore, approximately 8.61 kg of coffee must be sold to make a profit of $4000.
Step-by-step explanation:
need statements 1 and 2 answered by Friday March 23, 2023 at 10am
Answers
I will give you some intuitive remarks for some inspiration on the proofs.
For the first one, notice that if m divides n then n = pm where p is a integer.
Since n and m are both natural numbers p then must be a natural number as well.
Now we know that basically we want to prove that if a is congruent to b mod n then a is congruent to b mod "a factor of n" (this is cause n = pm).
Tell me if you need more clarification.
For the second proof, I would just draw a Venn diagram and prove that the two intersections cover identical regions.
BONUS SECTION
This section is optional. Each correct answer will receive 2 points (12 points total)
which will be added to your test's raw score. Clearly indicate the necessary steps,
including appropriate formula substitutions, diagrams, graphs, charts, etc. For all
questions in this part, correct numerical answers without work shown or an
explanation will not receive any credit.
1. Shanika has a dilemma. She has five choices for future employment but does not
know which job opportunity to take. Calculate the annual income for each option
and let her know which job would earn her the most money.
Option 1: Keeping her present job at $15,000 per
year plus a 20% year-end bonus.
Option 2: Taking a job that pays $1,250 per month
Answers
Answer:
A
Step-by-step explanation:
Mrs. Rinaldi bought 5 pounds of apples. She used of that amount to make pies. How many pounds of apples did she use for the pies?
Answers
pls help. grades due today. teacher hasnt taught me this
Answers
Answer:
5624.22 feet
Step-by-step explanation:
You want to know the distance from a skyscraper 1465 ft tall to a point where the angle of elevation to its top is 14.6°.
TangentThe tangent relation tells you ...
Tan = Opposite/Adjacent
ApplicationThe distance between buildings is the side of the right triangle adjacent to the angle of elevation. The height of skyscraper B is the side opposite the angle of elevation. Using the tangent relationship, we can find the distance d between the buildings as ...
tan(14.6°) = 1465/d
c = 1465/tan(14.6°) ≈ 5624.22 . . . ft
The distance from A to B is about 5624.22 feet.
<95141404393>
Tashaun drove 74 miles in 2 hours. Kamari drove 153 miles in 3 hours. If the speed limit is 50 miles per hour, who was speeding?
Group of answer choices
Neither
Tashaun
Both
Kamari
Answers
Answer:
kamari
Step-by-step explanation:
Tashaun: [tex]\frac{74}{2}[/tex]= 32mph
kamari: 153/3=51mph
so we can see that kamari is speeding the speed limit is 50 and 51>50 brainliest?
Select the set of numbers that are arranged from greatest to least.
OA) 2.4 x 10; 2.7 x 105; 3.1 x 105
OB) 3.1 x 10; 2.4 x 10;
2.7 x 105
OC) 2.7 x 105;
2.4 x 10¹;
3.1 x 10¹
OD) 3.1 x 10³; 2.7 x 105;
2.4 x 10
Answers
The set of numbers arranged from greatest to least is:
OC) 2.7 x 105; 3.1 x 10¹; 2.4 x 10¹0
To see why, let's convert each number to scientific notation, which makes it easier to compare them:
OA) 2.4 x 10 = 24
2.7 x 105 = 270,000
3.1 x 105 = 310,000
OB) 3.1 x 10 = 31
2.4 x 10 = 24
2.7 x 105 = 270,000
OC) 2.7 x 105 = 270,000
2.4 x 10¹ = 24
3.1 x 10¹ = 31
OD) 3.1 x 103 = 3,100
2.7 x 105 = 270,000
2.4 x 10 = 24
As we can see, the set of numbers in option OC is arranged from greatest to least, with 2.7 x 105 being the largest number, followed by 3.1 x 10¹, and then 2.4 x 10¹0 as the smallest number
Which fraction is larger 3/4 or 1/4
Answers
Answer:
3/4
Step-by-step explanation:
3/4 is larger because since they have the same denominator (the bottom value), you compare the numerators (the top value). Whichever numerator is bigger gives you the larger fraction.
Answer: 3/4 is larger, this is simply because 3/4 is = 75%
whereas 1/4 = 25%
A school gym is 97 feet long and 61 feet wide. What is its perimeter?
Answers
Answer:
316
Step-by-step explanation:
in square abcd, BE=13 find BC
Answers
Answer:
13sqrt{2}
Step-by-step explanation:
let's assume one side of square is a;
diognal which is BD=
[tex]a\sqrt{2}\\BE is BD/2=\frac{a\sqrt{2}}{2}=13\\a\sqrt{2}=26\\a=26/\sqrt{2}=13\sqrt{2}[/tex]
BC=CD=DA=AB=a=13sqrt{2}
Solve ( 5 5 6 + 1 3 4 ) − 4 7 12 . Select the correct solution. A. ( 5 + 1 + 5 6 + 3 4 ) − 4 7 12 = ( 6 + 8 10 ) − 4 7 12 = 6 8 10 − 4 7 12 = ( 6 − 4 ) + ( 8 10 − 7 12 ) = 2 1 12 B. ( 5 + 1 + 10 12 + 9 12 ) − 4 7 12 = ( 6 + 19 12 ) − 4 7 12 = 7 7 12 − 4 7 12 = 11 C. ( 5 + 1 − 4 ) + ( 10 12 + 9 12 − 7 12 ) = 2 + 12 12 = 2 + 1 = 3 D. ( 5 + 1 − 4 ) + ( 5 6 + 3 4 − 7 12 ) = 2 + 5 + 3 − 7 6 + 4 − 12 = 2 + 1 2 = 2 1 2
Answers
The correct solution of given expression is C. (5 + 1 - 4) + (10/12 + 9/12 - 7/12) = 2 + 1 = 3.
What is expression?
In mathematics, an expression is a combination of symbols, numbers, and operators that represents a value or a relationship between values. Expressions can be composed of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and radicals.
We can simplify the expression inside the parentheses first and then subtract the fraction.
(5 5/6 + 1 3/4) - 4 7/12
= (33/6 + 7/4) - 55/12
= (11/2 + 7/4) - 55/12
= 22/4 + 7/4 - 55/12
= 29/4 - 55/12
To subtract these fractions, we need a common denominator of 12:
= (329)/(34) - (555)/(512)
= 87/12 - 275/60
= 87/12 - 11/4
= (29/4) - (33/12)
= (29/4) - (11/3)
To find the correct solution, we can simplify this expression:
(29/4) - (11/3) = (87/12) - (44/12) = 43/12
Therefore, the correct solution is C. (5 + 1 - 4) + (10/12 + 9/12 - 7/12) = 2 + 1 = 3.
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ASAP NEED ANSWER !! Thank You! :>
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The size of angle y in the quadrilateral is 130 degrees.
How to find the angle of a quadrilateral?A quadrilateral is a polygon with 4 sides and angles. The quadrilateral above is a kite. The sum of angles in a quadrilateral is 360 degrees.
Therefore, let's find the angles in the quadrilaterals as follows:
y + y + 70 + 30 = 360(sum of angles in a quadrilateral)
2y + 100 = 360
2y = 360 - 100
2y = 260
divide both sides by 2
y = 260 / 2
y = 130 degrees
Therefore, the size of y is 130 degrees.
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An employee is 10 years from retirement and has decided to begin making $2,000 annual contributions into an IRA. The employee is currently in the 33% tax bracket but expects to be in the
15% tax bracket at retirement.
Which of the following contains the better choice with the correct reasoning?
O The Traditional IRA is the better choice because the employee will be taxed at a lower rate on lower earnings in retirement than during employment.
O The Roth IRA is the better choice because the employee will be taxed at a lower rate on lower eamings during employment than in retirement
O The Traditional IRA is the better choice because the employee will be taxed at a higher rate on lower earnings in retirement than during employment.
O The Roth IRA is the better choice because the employee will be taxed at a higher rate on lower eamings during employment than in retirement.
Answers
Based on the employee contribution, the Traditional IRA is the better choice because the employee will be taxed at a lower rate on lower earnings in retirement than during employment. The Option A is correct.
Why is Traditional IRA the best choice for the employee?The Traditional IRA allows the employee to make contributions on a pre-tax basis, which reduces the taxable income during the years of contribution. This reduces the tax liability during employment years in the 33% tax bracket. During retirement, the employee will be in the 15% tax bracket, which means they will pay a lower tax rate on the withdrawals from the Traditional IRA.
In contrast, the Roth IRA contributions are made with after-tax dollars, and the withdrawals during retirement are tax-free. Since the employee is currently in the 33% tax bracket, they will pay a higher tax rate on their current income than they would in retirement. Therefore, the Traditional IRA is a better choice for the employee in this scenario.
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Find the annual percentage rate for an account earning compound interest at a rate of 3.425%
Complete the table to find the APR when compounded semiannually and quarterly.
Answers
The APR when compounded semiannually and quarterly would be :
Compounded semi - annually - (1.034543) ^ t - 3.4543%Compounded quarterly - (1.034692) ^ t - 3.4692%How to find the APR ?To find the APR when compounded semi - annually, we first need to find the periodic rate to be :
= Annual rate / 2 semi annual periods
= 3. 425 / 2
= 1.7125%
Then use the Effective Annual Rate (EAR) to find the APR to be:
= ( 1 + periodic rate ) ^ number of periods - 1
= ( 1 + 1. 7125 % ) ² - 1
= 3.4543%
For the APR when compounding quarterly, you can variate the EAR formula to the original version of:
= ( 1 + annual rate / number of periods ) ^ number of periods - 1
= ( 1 + 3. 425 / 4 ) ⁴ - 1
= 3.4692%
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please help image attached! x=?
Answers
Answer:
90°
Step-by-step explanation:
from the figure and the measurements it is a square, the diagonals are perpendicular and form 4 angles of 90°, so 90° is your answer.
A prism is completely filled with 96 cubes that have edge length of 1/2 cm.
What is the volume of the prism?
Thank you for answering ⋄∵₊⁺⧭ʷ⧬⁺₊∵⋄
Answers
Answer:
Since the prism is completely filled with 96 cubes that have an edge length of 1/2 cm, we can find the volume of the prism by multiplying the number of cubes by the volume of each cube.
The volume of each cube is (1/2 cm)^3 = 1/8 cm^3.
The number of cubes is 96.
Therefore, the volume of the prism is:
volume = (number of cubes) x (volume of each cube)
volume = 96 x (1/8 cm^3)
volume = 12 cm^3
So, the volume of the prism is 12 cubic centimeters.
Y=4x+2 -6x+2y=8 what is the value x t y
Answers
Y = 4x + 2
-6x + 2y = 8
We can start by rearranging the second equation to solve for y:
-6x + 2y = 8
2y = 6x + 8
y = 3x + 4
Now we can substitute this expression for y into the first equation:
Y = 4x + 2
3x + 4 = 4x + 2
Subtracting 4x from both sides:
x = -2
To find the value of y, we can substitute x = -2 into either equation:
Y = 4x + 2
Y = 4(-2) + 2
Y = -6
Therefore, the solution to the system of equations is x = -2 and y = -6.
the cost for3.8 pounds of shrimp is 18.05 . find the unit price in dollars per pound. if necessary round it to the nearest cent
Answers
The unit price in dollars per pound is $4.75 (rounded to the nearest cent).
What is profit and loss?
Mathematicians use the profit and loss formula to calculate market prices for goods and to assess how lucrative a company is. There is a selling price and a cost price for every commodity. We can determine the profit made or loss suffered for a specific commodity based on the values of these prices. Cost price, fixed, variable, and semi-variable costs, selling price, marked price, list price, margin, etc. are some of the key words that are discussed in this article.
To find the unit price in dollars per pound, we need to divide the total cost by the total weight:
Unit price = Total cost / Total weight
In this case, the total weight is 3.8 pounds and the total cost is $18.05.
Unit price = $18.05 / 3.8 pounds
Unit price = $4.75 per pound (rounded to the nearest cent)
Therefore, the unit price in dollars per pound is $4.75 (rounded to the nearest cent).
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Which of the following is the product of the rational expressions show below?
Answers
Answer:
−(3x2+−xx−5)
Step-by-step explanation:
Polly's sister-in-law is going to have a baby! For the baby shower, Polly decided to sew pillow to give as a gift. She is using a flower-printed rectangular piece of fabric that is 26 inches long and 22 inches wide.
Answers
Answer:
The answer is 96
Step-by-step explanation:
2*(26+22)
2*48
96
robbie had 5.00 to spend on lunch.He bought a hamburger for 1.26 potato chips for 65 cents and 2 drinks for 85 cents each how much money did he get back
Answers
Answer:
$1.39
Step-by-step explanation:
Robbie had 5.00 to start out with. The hamburger he bought was $1.26. The potato chips were $0.65 and the total of the 2 drinks would be $1.70. $0.85 x 2 = $1.70. If we add $1.26 + $0.65+ $1.70 it will equal = $3.61. Now if we take Robbies $5.00 and minues that by $3.61 (total of all food and drinks) we would get $1.39. So, Robbie only had $1.39 left.
Hopefullly that helps you !
3% of a sum of money is $60.What is the sum of money?
Answers
Answer:
2000
Step-by-step explanation:
Formula = Number x 100/Percent = 600 x 100/3 = 2,000
Following shows the steps on how to derive this formula and find out 3% of what number is 60.
Step 1: If 3% of a number is 60, then what is 100% of that number? Setup the equation.
60/3% = Y/100%
Step 2: Solve for Y
Using cross multiplication of two fractions, we get
3Y = 60 x 100
3Y = 6000
Y = 6000/100= 2000
Got it right already
Answer the questions about the graph shown below.
Answers
Therefore, all values of x that are less than or equal to -3 make up the inequality's solution set.
what is inequality ?An inequality in mathematics is a claim that two values or expressions are not equivalent to one another. A relationship between two values, where one value is larger than, less than, or not equal to the other, is expressed by an inequality. The inequality marks "" (less than), ">" (greater than), "=" (less than or equal to), ">=" (greater than or equal to), and "" can be used to denote an inequality (not equal to).
given
The disparity is as follows:
-3x + 2 ≥ 11
By subtracting 2 from both sides of the inequality and then dividing the result by -3, we can separate x on one side of the inequality .
-3x + 2 - 2 ≥ 11 - 2
-3x ≥ 9
x ≤ -3
Therefore, all values of x that are less than or equal to -3 make up the inequality's solution set.
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Third Rock Ventures sells all its merchandise on credit. It has a profit margin of 8%, days sales outstanding were 60 days based on 360 days in a year, receivables of R180 000, total assets of R4000 000, and a debt ratio of 0,75. What is the company's return on equity (ROE)?
Answers
Answer:
Step-by-step explanation:
First, we need to calculate the company's credit sales for the year:
Credit Sales = Receivables / (Days Sales Outstanding / 360)
Credit Sales = R180,000 / (60/360) = R1,080,000
Next, we need to calculate the company's net income:
Net Income = Profit Margin x Credit Sales
Net Income = 0.08 x R1,080,000 = R86,400
We can calculate the company's total equity as follows:
Total Equity = Total Assets x (1 - Debt Ratio)
Total Equity = R4,000,000 x (1 - 0.75) = R1,000,000
Finally, we can calculate the ROE:
ROE = Net Income / Total Equity
ROE = R86,400 / R1,000,000 = 0.0864 or 8.64%
Therefore, Third Rock Ventures' return on equity is 8.64%.
Use the information given below to find tan(a + B)
cos a = 3/5, with a in quadrant IV
tan B = 4/3, with B in quadrant I I I
Give the exact answer, not a decimal approximation.
tan(a + B) = ?
Answers
let's bear in mind that on the III Quadrant, sine and cosine are both negative, whilst on the IV Quadrant, sine is negative and cosine is positive, that said
[tex]\cos(\alpha )=\cfrac{\stackrel{adjacent}{3}}{\underset{hypotenuse}{5}}\hspace{5em}\textit{let's find the \underline{opposite side}} \\\\\\ \begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{5}\\ a=\stackrel{adjacent}{3}\\ o=opposite \end{cases} \\\\\\ o=\pm \sqrt{ 5^2 - 3^2} \implies o=\pm \sqrt{ 16 }\implies o=\pm 4\implies \stackrel{IV~Quadrant }{o=-4} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\tan(\beta )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{3}}\implies \tan(\beta )=\cfrac{\stackrel{opposite}{-4}}{\underset{adjacent}{-3}} \\\\[-0.35em] ~\dotfill\\\\ \tan(\alpha + \beta) = \cfrac{\tan(\alpha)+ \tan(\beta)}{1- \tan(\alpha)\tan(\beta)} \\\\\\ \tan(\alpha + \beta)\implies \cfrac{ ~~\frac{-4}{3}~~ + ~~\frac{-4}{-3} ~~ }{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \cfrac{0}{1-\left( \frac{-4}{3} \right)\left( \frac{-4}{-3} \right)}\implies \text{\LARGE 0}[/tex]
Zoe has 7/3 of an ounce of children’s ibuprofen. A full dose for Zoe’s one-year-old is 2/5 of an ounce. To figure out exactly how many doses she has left, she drew the diagram below. But she realized that her diagram shows how many 1/5-ounce doses are in 7/3 of an ounce. How can she use her diagram to figure out how many 2/5-ounce doses she has? Explain using words and diagrams.
Answers
It should be noted that to use the diagram to figure out how many 2/5-ounce doses Zoe has, she can divide the 7/3-ounce amount into equal parts of 2/5 ounce.
How to explain the word problemOne way to do this is to divide 2/5 by 1/5 to get the number of 1/5-ounce portions that make up a 2/5-ounce dose, which is 2. Then, divide 7/3 by 2/5 to get the total number of 2/5-ounce doses she has.
So, using the diagram, Zoe can count the number of 1/5-ounce portions she has, and then divide that number by 2 to find out how many 2/5-ounce doses she has.
Alternatively, Zoe could redraw the diagram to show 2/5-ounce portions instead of 1/5-ounce portions, and then count the number of 2/5-ounce portions she has. She would need to divide the original diagram into equal parts of 2/5 ounce by drawing lines to divide each square into two parts. Then she can count the number of squares that represent a 2/5-ounce dose.
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Each of the lists below is in order from least to greatest
and has one number missing. List an example of a value
that could correctly complete the blank in each list.
I. -0.65,
2.
4.
/
3. 1.2%, 10%,
1
20'
12 13
4'5'2'2
,-0.6, -0.5, -0.4
6.2%,
/
1
16.7%, 40%
10.45
Answers
Answer:
-0.63
1/7
15%
10%
Step-by-step explanation:
hope this helps
Use the distributive property to multiply the expression 9(7m+2)
Answers
(9)(7) add the m and (9)(2)
Answer:
63m+18
Step-by-step explanation:
9*7m is 63m and 9*2 is 18
Combine them and you get 63m+18!