The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.
Answer:
A mapping diagram consists of two parallel columns. The first column represents the domain of a function f , and the other column for its range. Lines or arrows are drawn from domain to range, to represent the relation between any two elements.
7. Alexis has 145 stickers. She wants to divide the stickers evenly among 5 of her friends. How
many stickers will each friend get?
Write your answer in the box.
stickers.
8. There are 2,472 seats in the school auditorium. The seats are divided into 6 equal sections.
How many seats are in each section? Write your answer in the box.
seats
Explain how you found your answer. Show your work.
Answer: 7: 29 stickers for each friend
8: 412 seats in each section
Step-by-step explanation:
We will have to divide 145 (stickers) by 5 (friends) to get 29
We will have to divide 2472 by 6 to get 412
7.) 145 ÷ 5 = 29 → Each friend will get 29 stickers
8.) 2,472 ÷ 6 = 412 → There are 412 seats in each second.
I divided for both problems using the long division method and multiplied which is the inverse operation, to check my work.
What is the value of z? I need help.
From the attached image, we have a big triangle with angle 34° facing a side (opposite) of 37 unit. The hypotenuse side, z, is approximately 66 unit
Understanding SOH-CAH-TOAUsing SOH-CAH-TOA, we can find the length of the hypotenuse given the angle and the length of the opposite side.
Given:
θ = 34°
opp = 37 unit
hyp = z
Applying SOH which connects Opposite and Hypotenuse together
Sine θ = opp/hyp
Sine 34° = 37/z
z = 37/Sine 34°
z = 37/0.5592
z = 66.166
Therefore, using the SOH-CAH-TOA, the length of the hypotenuse (z) is approximately 66 units.
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The accompanying table contains the individual demand schedules of dark chocolate for Vanessa and Angela. Assuming
they are the only people in the market for dark chocolate, place each of their individual demand curves and the market
demand curve at the correct locations on the accompanying graph.
Price of dark
Pounds of dark chocolate Pounds of dark chocolate
chocolate
demanded by Vanessa
demanded by Angela
(per pound)
$8
1
3
%
IMG 90
00%
$1
3
5
orrect
0%
Market for Dark Chocolate
10
0%
Vanessa
Angela
Market
9
0%
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There are 7 teachers going to the museum. There are 8 times as many students going as teachers. They will need 1 van for every 6 people.
The sentence with proper subject-verb agreement is the student as well as the teacher want to go to the museum. In this sentence, the subject is what we call a compound subject, meaning that the verb refers and agrees with more than just one singular word.
The compound subject is "student" and "teacher" and they are connected by "as well as", which functions as a coordinating conjunction would. That's why the verb should conjugate in its plural form.
Option A is incorrect because the structure inside parentheses is not related to the verb and does not influence its conjugation. Options C and D have a verb in the singular form for a compound subject - that would demand a plural conjugation.
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Y=7x+8 find the slope of this line
Answer:
this problem is actually already solved the slope is 7 or 7/1 and the y -intercept is 8.
hope this helped!
Performance-enhancing drugs affect an individual by which of the following?
A. Decrease an athlete's muscle mass and endurance.
B. Are legal in some sports.
C. Decrease an athlete's performance and energy levels.
D. Give performers an unfair advantage.
Answer:
Give performance an unfair advantage
Inequalities - Introduction
Answer:
n = 19
Step-by-step explanation:
2n > 36 ( divide both sides by 2 )
n > 18
and
5n < 100 ( divide both sides by 5 )
n < 20
so n > 18 and n < 20
thus n = 19
7. The cost, c(x), for a carriage ride is given by c(x) = 2x + 4, where “x” is the number of minutes. Graph c(x), including the correct axis labels.
As m is a constant that is applied to x, it has to have something to do with minutes, eliminating A and B. As the constant is 2, it has to have something to with 2, eliminating D, meaning your answer is C. This is because a slope is the rate of change of y in relation to x, so it would be rate of change of y is a (a being your constant, in this case 2) per x. With your case, y is cost and x is minutes, leading to answer choice C.
How do you draw the probabilities for this tree diagram?
Step-by-step explanation:
The prize is equally likely to have been placed behind doors 1, 2, and 3, so the probabilities of D₁, D₂, and D₃ are equal.
P(D₁) = P(D₂) = P(D₃) = 1/3
The contestant initially chooses door 1, so the host will not open it.
P(H₁|D₁) = P(H₁|D₂) = P(H₁|D₃) = 0
The host will not open the door with the prize.
P(H₂|D₂) = P(H₃|D₃) = 0
The remaining probabilities for each door are equal.
P(H₂|D₁) = P(H₃|D₁) = 1/2
P(H₃|D₂) = 1
P(H₂|D₃) = 1
You are at a restaurant and the check comes to a total of $23. If you want to leave a 20% tip, how much total money should you pay, to the nearest cent?
Answer:
$27.60
Step-by-step explanation:
23×1.2=27.60 is the answer
I think it is A but I'm not positive
Answer:
I'm pretty positive that the answer is A
All employees in Department A attend the sales training programme. Some employees in Department A attend the technical training programme. Some employees who attend both training programmes are in Department B. Conclusion: All employees who attend the sales training programme and who attend the technical training programme are in Department A. If the assumptions are true, is the conclusion:
a. Correct
b. Cannot be determined based on the information available
c. Incorrect
Answer:
c. Incorrect
Step-by-step explanation:
According to the third sentence in assumption "Some employees who attend both training programmes are in Department B.", it is clear that there are certain employees in department B, who are attending both the training. Hence, all the employees who attend the sales training programme and who attend the technical training programme are not in Department A. Some of them are in department B as well.
Therefore, the conclusion is not correct and the final answer is:
c. Incorrect
How many minutes are there between 15 minutes past 10 and 25 minutes to 11am?
Answer:
20 minutes
Step-by-step explanation:
15 minutes past 10 is 10:15
25 minutes to 11 am is 10:35
(60-25=35)
35-15=20
How to calculate your bi-weekly paycheck based on 20 hour weeks at a rate of $9.00 per hour. Also, You will need to deduct Federal Income Tax (11.9%) , State Income Tax (3.6%), F.I.C.A (7.65%), and professional dues. Lastly you will need to look determine whether or not you will be able to pay your monthly car insurance bill of $200.00?
To calculate your bi-weekly paycheck, follow these steps:
Step 1: Calculate the gross earnings:
Multiply the number of hours worked per week by the hourly rate.
20 hours/week * $9.00/hour = $180.00/week
Step 2: Calculate the total earnings for two weeks:
Multiply the weekly earnings by the number of weeks in a bi-weekly pay period.
$180.00/week * 2 weeks = $360.00
Step 3: Calculate the deductions:
Calculate each deduction separately and subtract them from the gross earnings.
Federal Income Tax: $360.00 * 11.9% = $42.84
State Income Tax: $360.00 * 3.6% = $12.96
F.I.C.A: $360.00 * 7.65% = $27.54
Professional Dues: Amount varies depending on the specific dues.
Total Deductions: $42.84 + $12.96 + $27.54 + Professional Dues
Step 4: Calculate the net earnings:
Subtract the total deductions from the gross earnings.
Net Earnings = Gross Earnings - Total Deductions
Once you have the net earnings, you can determine if it is sufficient to cover your monthly car insurance bill of $200. If your bi-weekly net earnings are greater than or equal to $200, you will be able to pay your car insurance bill.
It is important to note that these calculations are based on the information provided, and actual tax rates and deductions may vary depending on your specific circumstances and location.
Additionally, professional dues may differ depending on your profession. It is recommended to consult with a tax professional or payroll department for precise calculations.
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what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
An 80% confidence interval is found to be (200, 240). What is the margin of error?A. 32B. 20C. 40D. 16
Answer: B
The margin of error is equal to 20
\(M\mathrm{}E=20\)Explanation:
Given that the 80% confidence interval is found to be;
\((200,240)\)The width of the interval is;
\(240-200=40\)The margin of error is always half the width, so the margin of error is;
\(\begin{gathered} M\mathrm{}E=\frac{40}{2} \\ M\mathrm{}E=20 \end{gathered}\)Therefore, the margin of error is equal to 20
7
Yuki works at an aquarium. To clean a tank, she calculates of the tank's total volume, and
900
she adds that much cleaning solution to the tank. For a certain tank, this works out to be 2 L
of cleaning solution.
02/1
3
What is the total volume of the tank?
The total volume of the tank is 300L.
The volume of a 3D figure is the space that it occupies.
Here, we are given that Yuki adds cleaning solution that is 7/900 of the tank's total volume.
Let the total volume of the tank be V
We know that the cleaning solution required to clean this tank is 2 1/3 L
Firstly, we need to convert this mixed fraction into an improper fraction, Thus, 2 1/3 = (2*3 + 1)/ 3
= 7/3 L
Thus, we can make the following equation,
(7/900)* V = 7/3
V = 7/3 (900/7)
V = 900/ 3
V = 300
Thus, the volume of the tank is 300L.
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Yuki works at an aquarium. To clean a tank, she calculates 7/ 900 of the tank's total volume, and she adds that much cleaning solution to the tank. For a certain tank, this works out to be 2 1/3 L of cleaning solution. What is the total volume of the tank?
Answer:
300L
Step-by-step explanation:
Just did it on Khan academy.
Determine the domain of which the following function is increasing
Answer:
domain : - ∞ < x < 1
Step-by-step explanation:
the function is increasing on the upward part of the curve. that is
from negative infinity to the vertex at (1, 3 )
domain : - ∞ < x < 1
Simplify the expression:
r+r+r+r+r+h
Answer:
r^4+h
Step-by-step explanation:
Quadrilateral J K L M is shown. A diagonal is drawn from point J to point L. Sides K L and J M are parallel. Sides J K and L M are congruent. The length of J L is 18, the length of J K is 16, and the length of J M is 40. Angle M is 45 degrees.
If KM is drawn on this quadrilateral, what will be its length?
Answer:
KM is 52.55
Step-by-step explanation:
Given that JKLM is a quadrilateral with a diagonal drawn from J to L, we have;
Sides KL is parallel to side JM
Side JK is congruent to side LM
Therefore, sides JK and LM are parallel being the equal distances between two parallel lines
JL = 18, JK = 16, therefore, LM = 16, JM = 40 therefore, KL = 40 (equal distances between parallel lines JK and LM)
∠M = 45° ∴ ∠L = 180° - 45° = 135° (sum of adjacent interior angles of a parallelogram)
By cosine rule, we have;
KM² = LM² + KL² - 2×KL×LM×cos(∠M) = 16² + 40² - 2×16×40×cos(135°)
KM² = 2761.0967
KM = √(2761.0967) = 52.55 units.
Answer:
18
Step-by-step explanation:
Edg 2021
Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
Val has 2 hours to finish a slide presentation. It takes her 1/6 hour to create each slide. Will call have enough time to create slides? Explain your reasoning? And show your work
Answer:
12 slides
Step-by-step explanation:
Okay so we know that Val:
takes 1/6 hours to do each slide
has 2hrs
To figure this question out we have to divide fractions.
To divide a fraction you multiply the dividend by the reciprocal of the divisor.
My simple dictionary:
Dividend - The First number in a fractional problem
Divisor - The second number in a fractional problem
Reciprocal - a fraction flipped upside down so that the numerator is now the denominator. For example 3/2 = 2/3
Now that that is done let's look at the problem.
We have to divide 2 by 1/6 or multiply 2/1 by 6/1
To multiply a fraction we just multiply numerator by numerator and denominator by denominator.
2 x 6 = 12
1 x 1 = 1 (duh)
So, in conclusion, Val can create 12 slides in 2 hours :D
that was some really explicit stuff .-.
classify each number as a rational or in rational by moving it to the correct category
please tell me which ones are rational and irrational
Answer:
1. rational
2. rational
3. rational
4. not rational
5. not rational
Step-by-step explanation:
HELP ASAP !! Thanks
Step-by-step explanation:
First, let's find the area of the rectangular sides using the dimensions given.
16 x 7 = 112 \(in^2\)
112 is just for one rectangle. We need to find the area for 3 rectangles.
112 x 3 = 336 \(in^2\)
Now, we need to find the area of the triangle. Using the formula let's find the area.
bh/2
7 x 8/2
56
Our answer is 56 as we find the area of two triangles and 28 x 2 equals 56. To find the prism's total area, we have to add the areas altogether.
56 + 336 =
Answer: 392 \(in^2\)
Multiply.
[−3⋅ 9/14]⋅[(−0.1)⋅(−28)]
What is the product?
Enter your answer in the box.
We have that The Multiply of [−3⋅ 9/14]⋅[(−0.1)⋅(−28)] is
X=−5.3984
From the question we are told
Multiply. [−3⋅ 9/14]⋅[(−0.1)⋅(−28)] What is the product?Generally the expression is mathematically given as
[−3⋅ 9/14]⋅[(−0.1)⋅(−28)]
Let the Multiply be x
X=−1.928 x 2.8
X=−5.3984
Therefore
The Multiply of [−3⋅ 9/14]⋅[(−0.1)⋅(−28)] is
X=−5.3984
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Answer:
-3
Step-by-step explanation:
-3
1. Which of the following is equivalent to 6/10? 5/9 9/15 8/12 36/100
Which of the following questions are equivalent to the answer below x 3/5
Answer:
\(x^\frac{3}{5} = (x^3 )^\frac{1}{5}\)
\(x^\frac{3}{5} = \sqrt[5]{x^3}\)
\(x^\frac{3}{5} = (\sqrt[5]{x})^3\)
Step-by-step explanation:
Given
\(x^\frac{3}{5}\)
Required
The equivalent expressions
We have:
\(x^\frac{3}{5}\)
Expand the exponent
\(x^\frac{3}{5} = x^{ 3 * \frac{1}{5}}\)
So, we have:
\(x^\frac{3}{5} = (x^3 )^\frac{1}{5}\) ----- this is equivalent
Express 1/5 as roots (law of indices)
\(x^\frac{3}{5} = \sqrt[5]{x^3}\) ------ this is equivalent
The above can be rewritten as:
\(x^\frac{3}{5} = (\sqrt[5]{x})^3\) ------ this is equivalent
Helpppppppppppppooo
Answer:
4/7
Step-by-step explanation:
35r-21<-35r+19
70r-21<19
70r<40
40/70
4/7
The average of 5 numbers is 8.5. Four of the numbers are 9.2, 3.4, 6.5 and 7.4. What is
the fifth number?
Answer:5
Step-by-step explanation:
Rachel works 5 days a week and works 7.5 hours on each of the days she works. How many hours does
Rachel work in 3 weeks
Answer: 112.5 hours
Step-by-step explanation: