Answer:
A) [-8,-2]
B) (-infinity,-8) U (-2, infinity)
Step-by-step explanation:
Mastery
What is the slope of the line?
Skill Sum
Y-4= -7(2-6)
Graphing
Choose 1 answer:
Solutions
4
7
--7
Quiz 1
096 13 day
Tok Guz
CON
Intercepts
Answer:
Anjan po sa pic yung answer
a. The lazy river is basically a large circle that will need to be filled with
water. The radius of the outer perimeter is 45 yards. The river is 4 feet
deep and its width is 5 feet. First compute the river's volume in cubic feet
and then calculate how many gallons of water it will hold. Remember
1 cubic foot = 7.48 gallons.
Answer:
54.144
Step-by-step explanation:
I would just say 54
Charles buys 60 packs of pens.
There are 14 pens in each pack.
Each pack costs £4.50.
Charles sells each pen for 70p but he only manages to sell
2
3
of the pens.
How much profit did he make?
Answer:
£122
Step-by-step explanation:
Total no. of pens :- 60× 14= 840
Cost of all pens :- £270
Total no. of pens sold :- 560
Cost of those pens :- £392
Profit = £122Charles made a profit of £122, By selling (2/3)rd of his pens.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Charles buys 60 packs of pens and there are 14 pens in each pack.
If each pack costs £4.50.
So, The Total cost is,
= £(60×4.50).
= £270.
The total number of pens is,
= (14×60).
= 840, And he manages to sell (2/3) of it which is,
= (2/3)×840.
= 560.
Now, The total money made by him is,
= 540×0.7.
= £392.
Therefore, The profit he made is £(392 - 270) = £122.
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Please solve, Im in a Hurry!
I will name the Brainliest!
Answer:
it is a function
Step-by-step explanation:
I can give you the cordinates:
(-1,1)
(2,7)
(1,-1)
(3,0)
It is a function because if you do the vertical line test you wont hit two x values twice.
Sam started cooking at 7;43 AM and finished at 8;32 AM. how long did it take him?
Answer:
49 minutes
Step-by-step explanation:
7: 43
8: 32
17 minutes 'till 8:00
Another 32 'till 8:32
so add 17+32
Which is the equation of the axis of symmetry of the graph of y = –3(x – 6)2 + 5?
x = –6
x = –5
x = 5
x = 6
The equation that represents the axis of symmetry of the graph of the quadratic function is the line; x = 6
What is a quadratic function?A quadratic function is a function that has 2 as the highest exponent. The shape of the graph of a quadratic function is a parabola, which is U shaped.
The equation of the axis of symmetry of the graph of y = -3·(x - 6)² + 5 is obtained as follows.
The specified equation is in the vertex form of a quadratic function, which is; f(x) = a·(x - h)² + k
Where;
(h, k) = The coordinate of the vertex
The equation of the axis of symmetry is x = h
Comparison of the equation, y = -3·(x - 6)² + 5 and the vertex form of a quadratic equation, we get.
The vertex, (h, k) = (6, 5)
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A student club started a fundraising effort to support animal rescue organizations. The club sent an information flyer home to the n students in the school. It says, "We welcome donations of any amount, including any change you could spare!" Their goal is to raise T dollars, and to donate to a cat shelter and a dog shelter.
Match each quantity to an expression, an equation, or an inequality that describes it.
The dollar amount the club would have if every student at the school donated a quarter to the cause.
The dollar amount the school will raise is given by the expression 0.25n, where n is the number of students.
A combination of terms through addition, subtraction, multiplication, division, and other operations is known as an algebraic expression (or variable expression).
A connection that compares two numbers or other mathematical expressions inequitably is known as an inequality in mathematics.
The dollar amount the club would have if they reached one-fourth of their goal= \(\frac{1}{4} T\)The dollar amount the club would have if every student at the school donated a quarter to the cause =\(\frac{1}{4} n\)The dollar amount the club could donate to the cat shelter if they reached their goal and gave a quarter of the total donation to a dog shelter= \(\frac{3}{4} T\)Therefore the dollar amount the school will raise is given by the expression 0.25n or \(\frac{1}{4} n\) , where n is the number of students.
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Please help fast I’d appreciate it
Answer:
a) Precision and accuracy are necessary here to ensure the protection of the wires, which be phone lines, cable lines or electrical lines.
b) Precision or the repeatability of measurements gives and impression that you getting the correct measurement but unless your instruments are properly calibrated, tug you cannot be sure that your measurements are truly correct.
c) Incorrect measurements could leave the wires exposed to the elements which could lead to their premature breakdown, hence increasing the maintenance costs of the wires and thereby the entire system.
The town council of Finleyville is meeting to discuss emergency evacuation plans. Finleyville is in a state where hurricanes occur. Some town councillors believe the town's emergency evacuation plan needs to be changed because there has been an increase in natural disasters in the area. Other town councilors believe the plan is fine as it is. The following chart was presented to the town council. Which statement best describes the information presented in the chart?
a graph showing the number of hurricanes of category 1 or higher that happened during a specific series of years. Between 1980?1989 there were 13; from 1990?1999 there were 14; from 2000?2009 there were 23; and from 2010?2017 there were 10.
The number of hurricanes has decreased steadily since 1980.
There have been fewer hurricanes because of a change in temperature.
The number of hurricanes was increasing but has decreased in recent years.
There are more tornadoes in Finleyville than there are hurricanes.
The statement that best describes the infοrmatiοn presented in the chart is: "The number οf hurricanes was increasing but has decreased in recent years."
What are hurricanes ?Hurricanes, knοwn generically as trοpical cyclοnes, are lοw-pressure systems with οrganized thunderstοrm activity that fοrm οver trοpical οr subtrοpical waters. They gain their energy frοm warm οcean waters.
The chart shοws the number οf hurricanes οf categοry 1 οr higher that οccurred during specific series οf years, and it indicates that the number οf hurricanes increased frοm 13 in 1980-1989 tο 23 in 2000-2009, and then decreased tο 10 in 2010-2017.
Therefοre, the chart suggests that the number οf hurricanes was increasing, but it has decreased in recent years. The chart dοes nοt prοvide any infοrmatiοn abοut tοrnadοes in Finleyville οr the relatiοnship between the number οf hurricanes and temperature.
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The statement that best describes the information in the graph is: "The number of hurricanes has increased but decreased in recent years." The graph shows that the number of Category 1 or greater hurricanes increased from 1980 to 2009, but decreased from 2010 to 2017.
Which table of values appears to have been used to graph the line shown below?
A) X Y
4 4
0 0
-2 -2
B) X Y
-2 2
0 0
-2 -2
C) X Y
-2 2
0 0
2 -2
D) X Y
-2 4
0 0
2 4
Answer:
c is the correct answer
Step-by-step explanation:
Container A has 200 L of water, and is being filled at a rate of 6 liters per minute. Container B has 500 L of water, and is being drained at 6 liters per minute. How many minutes, m, will it take for the two containers to have the same amount of water?
It will take 25 minutes for the two containers to have the same amount of water .
In the question ,
it is given that ,
water present in container A = 200L
water present in container B = 500L
rate at which the water is filling in container A= 6 liter/minute
rate at which the water is draining in container B = 6 liter/minute
let the time taken = m minutes ,
So , According to the question ,
the equation representing the situation is
200 + 6m = 500 - 6m
Simplifying further , we get
6m + 6m = 500 - 200
12m = 300
m = 300/12
m = 25
Therefore , It will take 25 minutes for the two containers to have the same amount of water .
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A maintenance crew consists of the following information (3 mechanicals with 10 hours workover and 15 hour leaves - 1 welder – 5 electricals with 20 hours leaves and 15 hours workover- 4 helpers). The crew works 10 hours daily and 6 days / week - A Faulted ball bearing (Kso150 )in hydraulic pump(Tag number 120WDG005) need to change in PM routine, It needs to 2 Mechanical and one helper where the estimated planned hour is 10 hours. The maintenance labors finished the work in 12 Hours due to some problems in bearing dis-assembling - The average labor cost rates is 50 LE /hours and the bearing cost 5000 LE It is required to: a) Construct a table for weekly crew working hours availability for this crew. b) Calculate the craft performance c) Determine the working hours and Job duration d) Calculate the repair and fault costs if the production loses 1s 2000 LE/hour e) Construct the required complete work order
a). Total weekly working hours is 1680 hours.
b). The estimated planned hours are 10 hours per the work order is 83%.
c). Rounded to the nearest whole number, the working hours are 12 hours is.
d). Repair and fault cost is 35,600 LE
e). Total: 1680 hours weekly.
a) Weekly crew working hours availability:
Calculation for the work schedule, based on the given information in the question:
There are 3 mechanics with 10 hours of workover and 15 hours of leave.
There is 1 welder with no workover and 0 hours of leave.
There are 5 electricians with 20 hours of leave and 15 hours of workover.
There are 4 helpers with no workover and no leave, based on the given information.
The maintenance crew works for 10 hours per day and 6 days per week. Thus, the weekly working hours for the maintenance crew are:
Weekly working hours of mechanic = 3 × 10 × 6 = 180 hours
Weekly working hours of welder = 1 × 10 × 6 = 60 hours
Weekly working hours of electricians = 5 × (10 + 15) × 6 = 1200 hours
Weekly working hours of helpers = 4 × 10 × 6 = 240 hours
Total weekly working hours = 180 + 60 + 1200 + 240 = 1680 hours
b) Craft Performance Calculation:
Craft Performance can be calculated by using the below formula:
CP = Earned hours / Actual hours
Work order for faulted ball bearing (Kso150 ) in hydraulic pump
(Tag number 120WDG005) needs to change in PM routine, it needs 2 Mechanics and one helper where the estimated planned hour is 10 hours.
From the given information, it took the crew 12 hours to complete the task due to some problems in bearing disassembling.
Thus, Actual hours = 12 hours.
The estimated planned hours are 10 hours per the work order.
So, Earned hours = 10 hours.
CP = Earned hours / Actual hours
= 10 / 12
= 0.83 or 83%
c) Working hours and Job duration Calculation:
Working hours = (Total estimated planned hour / Craft Performance) + (10% contingency)
= (10 / 0.83) + 1
= 12.04 hours
Rounded to the nearest whole number, the working hours are 12 hours.
Job duration = Working hours / (Number of craft workers)
= 12 / 3
= 4 hours
d) Calculation of Repair and Fault Costs:
It is given that production loses 1s 2000 LE/hour.
The Fault cost for the hydraulic pump will be 2000 LE/hour.
The cost of bearing replacement is 5000 LE.
Additionally, the labour cost rate is 50 LE/hour.
The total cost for repair and fault will be;
Repair cost = (Labour Cost Rate × Total Working Hours) + Bearing Cost
= (50 × 12) + 5000
= 1160 LE
Fault cost = Production Loss (2000 LE/hour) × Working Hours (12 hours)
= 24,000 LE
Repair and fault cost = Repair cost + Fault cost
= 24,000 + 11,600
= 35,600 LE
E) Complete Work Order:
To: Maintenance crew
From: Maintenance Manager
Subject: Repair of Kso150 ball bearing in hydraulic pump
(Tag number 120WDG005)
Issue: Faulted ball bearing in hydraulic pump
Repair Cost = 1160 LE
Earned hours = 10 hours
Actual hours = 12 hours
Craft Performance = 83%
Working hours = 12 hours
Job duration = 4 hours
Fault Cost = 24,000 LE
Bearing Cost = 5000 LE
Repair and Fault Cost = 35,600 LE
Tasks: Replace Kso150 ball bearing in hydraulic pump.
Performing of daily maintenance checks.
Update the maintenance log book.
Operation of the hydraulic pump and testing for faults.
Work Schedule for the Maintenance Crew:
Mechanics: 3 × 10 × 6 = 180 hours weekly.
Welder: 1 × 10 × 6 = 60 hours weekly.
Electricians: 5 × (10 + 15) × 6 = 1200 hours weekly.
Helpers: 4 × 10 × 6 = 240 hours weekly.
Total: 1680 hours weekly.
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Question 1 a) Loan Amount \( =\$ 300 \) Advance amount \( =\$ 160 \) Remaining Amount To be paid \( =\$ 300-160=\$ 140 \) Time \( =2 \) weeks Calculate interest rate?
The interest rate in this case is 0%.
To calculate the interest rate for a loan with a loan amount of $300, an advance amount of $160, a remaining amount to be paid of $140, and a time of 2 weeks, follow the steps below:
Step 1: Find the total amount paid
Total amount paid = Advance amount + Remaining amount to be paid
Total amount paid = $160 + $140Total amount paid = $300
Step 2: Find the interest
Interest = Total amount paid - Loan amount
Interest = $300 - $300
Interest = $0
Step 3: Find the interest rate
The interest rate is the percentage of the loan amount that has to be paid as interest.
Hence, the interest rate is 0%.
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PLS HELP!!!
1. Write an inequality to represent the situation below.
2. Define your variable in words
3. Solve the inequality.
4. Describe what the solution means in the context of the problem.
Desiree was planning on going to the local amusement park with friends. She had saved $35 to go. She planned to spend $15 on food and the rest on tickets for rides. Each ticket to ride costs $1.75.
Answer: Answer in detail below
Step-by-step explanation:
1. Write an inequality to represent the situation below:
Let "x" be the number of tickets Desiree can buy.
The amount she spends on tickets is equal to the total amount she has minus the amount she spends on food:
Total amount - Amount spent on food = Amount spent on tickets
Therefore, the inequality to represent this situation is:
1.75x ≤ 35 - 15
2. Define your variable in words:
"x" represents the number of tickets Desiree can buy.
3. Solve the inequality:
1.75x ≤ 20
x ≤ 20 ÷ 1.75
x ≤ 11.43 (rounded to the nearest whole number because you cannot buy a fraction of a ticket)
4. Describe what the solution means in the context of the problem:
The solution x ≤ 11 means that Desiree can buy a maximum of 11 tickets for rides with the money she has left after spending $15 on food. If she buys more than 11 tickets, she will not have enough money to pay for them.
An experiment consists of dealing 5 cards from a standard 52-card deck. What is the probability of being dealt a 3, 4, 5, 6, 7, all in the same suit? The probability of being dealt a 3, 4, 5,6, 7, all in the same suit is Round to seven decimal places as needed.)
The probability of being dealt a 3, 4, 5, 6, 7, all in the same suit is approximately 0.0000031.
To calculate the probability of being dealt a 3, 4, 5, 6, 7, all in the same suit, we can use the following formula:
P = (number of favorable outcomes) / (total number of possible outcomes)
the order in which the cards are chosen does not matter, so we need to divide by the number of ways we can arrange 5 cards, which is 5! (5 factorial).
Therefore, the total number of possible outcomes is (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1), which simplifies to 2,598,960.
Finally, we can calculate the probability of being dealt a 3, 4, 5, 6, 7, all in the same suit:
P = 8 / 2,598,960
P = 0.00000308 (rounded to seven decimal places)
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Find the area of a triangle with points (-8,8) , (10,-2), and (-8,-8)
Answer:
144
Step-by-step explanation:
Base:16
Height: 18
Triangle area formula: (bxh)/2
16x18=288
288/2=144
PLEASE HELP QUICKLY!! WILL GIVE BRAINLIEST TO CORRECT ANSWER!!
Answer:
Grade A: 0.2
Grade B: 0.3
Grade C: 0.2
Grade D: 0.15
Grade F: 0.15
Step-by-step explanation:
You take the number of the grade and divide that by the total. The total is 20. A 4/20 = 0.2
Grade B 6/20 = 0.3 and so on
Answer:
For part b. its grade D so it says how much right so I think u need to times it or divide it or so sorry if this doesn't help u
what is the area of the following shape
Answer:
30 ft^2
Step-by-step explanation:
Break the figure into smaller pieces:
5*2=10
10*2=20
Add the areas
20+10=30
The are of the figure is 30 ft^2
Ms. Gardner is thinking of a number. The number is not even. The sum of its digits is divisible by 3 . The number is a multiple of 13. It is greater than 4⋅5. It is a multiple of 3. It is less than 7⋅8+23. What is the number? Is more than one answer possible? The possible number(s) is/are (Use a comma to separate answers as needed.)
The number Mrs. Gardner thought of is: 52.
How to solve Algebra Word Problems?To find the number we must take into account all the clues they give us, for example:
The number is not odd and as such we know the number is even.
The sum of their numbers is 7.
Thus:
1 + 6, could be 16 or 61
2 + 5, could be 25 or 52
3 + 4, could be 34 or 43
It is a multiple of 13.
The only possible multiple of 13 is 52.
52 ÷ 13 = 4
Is greater than 4 × 5 = 20
52 > 20
It is a multiple of 4.
52 ÷ 4 = 13
It is less than 7 × 8 + 23 = 79.
52 < 79
The number Mrs. Gardner thought of is 52.
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Evaluate ∫ dy/ (1+x^2)^2
The integral of dy / (1 + x^2)^2 is arctan(x) / (1 + x^2) + C, where C represents the constant of integration.
To evaluate the integral, we can use the technique of integration by substitution. Let u = 1 + x^2. Taking the derivative of both sides with respect to x, we have du/dx = 2x. Rearranging this equation, we get dx = du / (2x).
Substituting these values into the integral, we have:
∫ dy / (1 + x^2)^2 = ∫ dy / u^2.
Using the substitution u = 1 + x^2, we can rewrite the integral as:
∫ dy / (1 + x^2)^2 = ∫ (dy / u^2) * (du / (2x)).
Simplifying, we obtain:
∫ dy / (1 + x^2)^2 = ∫ du / (2u^2x).
Now, we can split the integral and solve it separately:
∫ du / (2u^2x) = (1 / (2x)) * ∫ du / u^2.
Integrating ∫ du / u^2 gives us -1 / u + C.
Substituting back u = 1 + x^2, we have:
(1 / (2x)) * (-1 / (1 + x^2)) + C = -1 / (2x(1 + x^2)) + C.
Therefore, the final result of the integral is arctan(x) / (1 + x^2) + C, where C represents the constant of integration.
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Translate the following into an expression m% of n
Answer:
mn/100
Step-by-step explanation:
m% of n = m/100×n
= mn/100
Use two unit multipliers to convert 3,059,000 miles to inches.
Answer: I'm not sure how to explain math too well, so I'm sorry if this answer isn't helpful enough.
Step-by-step explanation:
1 mile = 63,360 inches
So, you would substitute 3,059,000 miles instead of 1 mile. Then, you would multiply that number by 63,360 inches.
3,059,000 miles = 193,818,240,000 inches.
2 x 4 x 15 commutative property and simplified
Using the commutative property of multiplication the solution of the equation is solved to be
120What is commutative property of multiplication?The addition and multiplication arithmetic operations are covered by the commutative property.
This implies that the outcome of adding or multiplying two numbers remains unchanged if the order or position of the numbers are changed.
applying the commutative property of multiplication in the problem we have that
= (2 * 4) * 18
= 8 * 15
= 120
Also
= 2 * (4 * 15)
= 2 * 60
= 120
the answer does not change
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A kite has 4 equal sides. If 5 inches is added to each side, the new perimeter will be 56 inches. Find the side length of the original kite.
The side length of the original kite is 9 inches.
We are having a kite. All the sides of the kite are equal. Let the original length of the side of the kite be "x". The original perimeter of the kite will be calculated as given below :
P = 4*x
If 5 inches are added to each side, the new perimeter will be 56 inches. The new length of the side of the kite is "x + 5". The new perimeter of the kite will be calculated as given below :
P' = 4*(x+5)
56 = 4x + 20
4x = 36
x = 9
Thus, the length of the side of the original kite is 9 inches.
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Convert 62 square centimeters into square feet.
help me with is please the question is in the picture
Answer: the answer is b or 6.48
Step-by-step explanation:
4 lines are shown. A line with points T, R, W intersects a line with points S, R, V at point R. Another line extends from point R to point U in between angle V R W.
Which is a pair of vertical angles?
∠VRU and ∠SRT
∠TRS and ∠VRW
∠TRV and ∠WRU
∠WRV and ∠SRW
The angle pair that is a pair of vertical angles from the given option is:
B. ∠TRS and ∠VRW.
What does the phrase "vertical angles simple" mean?
An intersection of two lines produces a vertical angle, which is a pair of opposed angles. Vertical angles in the illustration are 1 and 3 respectively. Likewise, 2 and 4 are. Congruent vertical angles are universal.
The lines shown are attached below (see attachment).
Vertical angles are two set of angles that are formed lying opposite each other when two straight lines intersect.
From the diagram given:
<WRS is directly opposite <VRT, therefore, they are a pair of vertical angles that are formed.
<TSR is directly opposite <VRW, therefore, they are also a pair of vertical angles.
Thus, the angle pair that is a pair of vertical angles from the given option is: B. ∠TRS and ∠VRW.
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how does the sample size and percentage of confidence influence the width of a confidence interval?
As a result, the width of the confidence interval will rise as the sample size is reduced.
Define confidence interval.An area created using fixed-size samples of data from a population (sample space) that follows a particular probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability.
Given,
What causes a confidence interval's width to grow?
The confidence interval widens as the confidence level does. The only option to get more accurate population estimates, assuming the confidence level is fixed, is to reduce sampling error. The standard error statistic assesses sampling error.
When sample size is reduced, what happens to the width of the confidence interval?
As a result, the width of the confidence interval will rise as the sample size is reduced.
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The i-phone 7 Plus 32G costs $769. Amazon has a sale for 15% off. What's the sale price?
Answer:
653.65
Step-by-step explanation:
? 15
769 100 15/100 is 15%.
769 * 15 = 11,535 11,535/100 = 115.35
769
- 115.35
653.65
An angle in a rectangular coordinate system is in standard position if its vertex is at the_______.
An angle in a rectangular coordinate system is in standard position if its vertex is at the origin of the plane, the initial side of the angle is on the positive x-axis, and the terminal side of the angle is in one of the four quadrants. The angle is measured in a counterclockwise direction from the positive x-axis and is considered positive if it lies in the counterclockwise direction and negative if it lies in the clockwise direction.
The position of an angle is measured from the reference line called the initial side, which is the positive x-axis, and it ends at the terminal side, which is the side where the angle is located. An angle in a rectangular coordinate system is in a standard position if its vertex is at the origin of the plane. An angle is said to be in a standard position if its vertex is located at the origin of the coordinate system.
To summarize, an angle in a rectangular coordinate system is in standard position if its vertex is at the origin of the plane, the initial side of the angle is on the positive x-axis, and the terminal side of the angle is in one of the four quadrants. The position of an angle is measured from the reference line called the initial side, which is the positive x-axis, and it ends at the terminal side, which is the side where the angle is located.
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