The Expression for the Area a of the rectangle as a function of length L is given by A(L) = 12L - L^2 .
Let,
length, L, and the width, W, are components that help determine the area, A, and the perimeter, P of the rectangle. These are given by the following equations
A=LW
P=2L+2W
Given,
Perimeter of the Rectangle = 24m.
We are asked to express the perimeter of the rectangle as a function of the length, L, of one of its sides.
We will first set up the equation of the Perimeter of the rectangle. We can let the width of the rectangle be W.
P = 2L+2W
24 = 2L+2W
12 = L+W
W = 12-L
Since we want to express the Area as a function of L, we have to find the value of W in terms of L. This is so we can eliminate the width in the equation for the Area. The Area as a function of L is as follows.
A(L, W) = LW
A(L) = L(12-L)
A(L) = 12L-L^2
Therefore, the Area as a function of L is given by A(L) = 12L-L^2.
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The car will use how much
gallons of gas to travel 1,155 miles
Answer: It will travel for 38.5 to 57.75 miles
Step-by-step explanation:
1) One gallon of gas will travel for at least 20-30 miles
Where 1155 miles will use 38.5 gallons or 58 gallons of gas
If its helpful please like thank you
each week, carmen earns a base pay of $35 plus 0.17 for every pamphlet that she delivers. write an equation that can be used to find how much carmen earns each week. how much will she earn the week that she delivers 300 pamphlets?
Answer:
Equation: m = 35 + 0.17p
Solution: $86
Explanation:
After writing the equation, plug in the value 300 to the variable p. You get m = 35 + 0.17(300). From there you multiply to get m = 35 + 51. Then add to get an answer of $86.
Someone help me out I don’t know what I’m doing
Answer:
shesh
Step-by-step explanation:
Three angles fit around a point. Two of the angles are 155* and 53*
A) Work out the size of the third angle and give the answer in degrees.
B) Which of the words below describe the third angle?
1. Right
2.Obtuse
3.Acute
4.Reflex
NOTE: This is a repost
Answer:
I'm for sure it's #4. Reflex
Step-by-step explanation:
Calculator Bookwork code: N57 allowed Three angles fit around a point.
The angle will be 152. The angle will be obtuse. The correct option is 2.
What is geometry?Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.
Given that three angles fit around a point. Two of the angles are 155° and 53°. The angles will be calculated as,
Angle = 360 - 155 - 53
Angle = 152°
An angle with a measure greater than 90 degrees is called an obtuse angle. Here the angle is greater than 90 degrees so the angle will be obtuse.
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Find the value of p if the sum of negative 4
and the quantity p divided 5 is sixteen.
Answer: I think it's 84
Step-by-step explanation: [tex]\frac{-4+p}{5} = 16[/tex]
1. Estimate Jupiter's mass using a one-digit whole number times a power of 10. Be
sure to include units.
The mass of Jupiter can be written as 1.898 130 ×[tex]10^{6}[/tex] where 6 is a one-digit whole number which can be used to write Jupiter's mass using a one-digit whole number times a power of 10.
The powers mean the exponential powers
Jupiter is the fifth and the largest planet in the Solar System.
The mass of Jupiter has been calculated to be 1.9 × [tex]10^{27}[/tex] kg
or this can be written as 1 898 130 yottagrams
A unit of mass equal to 1,000,000,000,000,000,000,000,000 grams. Symbol: Yg.
1 898 130 can also be written as 1.898 130 ×[tex]10^{6}[/tex] Yg
6 is a one-digit whole number that can be used to write Jupiter's mass using a one-digit whole number times a power of 10.
The unit is yottagram
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(24d)
Part 1: Past Paper 3 H
Question No. 9:
Simplify (2x + 3)² − (2x + 3)(x - 5)
Give your answer in the form ax² +bx+c
The sum of thirteen and twice a number. Is it linear or nonlinear?
HLP
The expression for the statement "the sum of thirteen and twice a number" will be given by 13 + 2 x.
We are given a statement:
The sum of thirteen and twice a number.
We need to make an expression for the statement that is being given to us.
Now, first we will let the unknown number be x.
So, twice of a number x will be written as:
2 × x
= 2 x
Now the sum of 13 and 2 x will be written as:
13 + 2 x
Therefore, we get that, the expression for the statement "the sum of thirteen and twice a number" will be given by 13 + 2 x.
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Help please this is missing i dont know what to doo
Sort the steps to complete the square.
Answer:
I hope this helps!
Step-by-step explanation:
Move the constant to the right side
Add [tex](\frac{b}{ 2a} )^{2}[/tex] to both sides
Rewrite as [tex]( x +\frac{b}{2a}) ^{2}[/tex]
Take the square root of both sides
Solve for x
Watch help video Qasim has a bag that contains pineapple chews, lemon chews, and lime chews. He performs an experiment. Qasim randomly removes a chew from the bag, records the result, and returns the chew to the bag. Qasim performs the experiment 52 times. The results are shown below: A pineapple chew was selected 33 times. A lemon chew was selected 9 times. A lime chew was selected 10 times. Based on these results, express the probability that the next chew Qasim removes from the bag will be lemon chew as a percent to the nearest whole number. Answer: Submit Answer attempt 2 out of 2
The probability that the next chew that Qasim will remove from the bag will be lemon chew is 0.17
What is probability ?Probability is the chance that an event will occur or we can say the chance for how many time an event can occur describes the probability of that event .
Probability = Preferred Outcome/Total outcome
Probability is always between 0 to 1 i.e. we can say the lowest value of probability is 0 where no outcome is preferable and the highest value is 1 where all the outcomes are preferable outcomes.
In the question,
If Qasim performs the experiment 52 times of removing a chew from the bag the total outcome = 52
If a pineapple chew was selected 33 times. A lemon chew was selected 9 times. A lime chew was selected 10 times, the probability that next chew Qasim will remove from the bag will be the lemon chew is 9/52 or 0.17 percent.
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if we randomly choose names from the phone book, call them, and determine whether they are registered voters, does this process result in a random sample of voters?
The process of sampling is used is called the cluster sampling.
According to the statement
We have to find that the process of the sampling.
So, For this purpose, we know that the
Cluster sampling is a probability sampling technique where researchers divide the population into multiple groups (clusters) for research.
From the given information:
The things on which we do the survey :
if we randomly choose names from the phone book, call them, and determine whether they are registered voters.
Then
This sampling technique is used when our population is naturally divided into groups (which we call clusters).
due to this reason this sampling is called a cluster sampling.
So, The process of sampling is used is called the cluster sampling.
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You saw 5 flying saucers. each flying saucer had 5 aliens. each alien had 5 eyes. how many alien eyes were there altogether?
Answer:
125 alien eyes.
Step-by-step explanation:
5 flying saucers
5 aliens/flying saucer (5x5=25 aliens)
5 eyes/alien (25x5=125 eyes)
what is the expected number of (fair) coin flips to get three consecutive heads? what about n consecutive heads?
E(HHH)=14; E(H^N)=2 (2N–1).
Let's examine the possibilities for getting three consecutive heads on a fair coin. Let E(HHH) represent the predicted number of flips before three straight heads.
Getting three heads in a row has a 1/8 chance in scenario one. In order to simulate this situation, we would use the formula: (1/8) × 3 = 3/8. This point was reached after three flips.
The first flip is a tails in scenario two. This just increases the expected value of flips by one flip (+1), following the same rationale we used to calculate the expected number of flips with two heads. There is a 50% chance that something will happen. Therefore, we would simulate this event as:
1/2(E(HHH)+1)
Situation 3: The HT sequence appears. Because we should be thinking about occurrences that are mutually exclusive, each of these sequences is distinct from the ones that came before it. With a 1/4 chance of occurring, this particular sequence will increase the estimated number of flips by two. Thus, we would model this situation as follows:
1/4(E(HHH)+2)
Final scenario: Assume that HHT is mentioned. The probability that this particular sequence will occur is 1/8, and it increases the expected number of flips by three (we had the first two heads but then the tails requires us to start over again). Thus, we would model this situation as follows:
1/8(E(HHH)+3)
The total number of potential outcomes at this time is 1 (=(1/8) + (1/2) + (1/4) + (1/8). When we combine all of these possibilities, we get:
E(HHH)=1/8⋅3+1/2⋅(E(HHH)+1)+1/4(E(HHH)+2)+1/8(E(HHH)+3)
As a result, when we solve for E(HHH), we obtain E(HHH)=14.
I'll give a straightforward explanation of how I arrived at the general formula. If we started with just one tails in the prior scenarios, the chance was 1/2 and it would always add 1 to the anticipated number of flips. The chance of a certain sequence would change by an order of (1/2) [independent flips, each element occurring with probability 1/2] each time there was a heads before the tails, and the anticipated number of flips would rise by 1. Finally, if we got all n consecutive heads, that would equal the probability of getting HHH….T (all heads except for the tail at the end). The final word denotes the order of receiving all N heads at once.
Therefore, we can interpret this formula as equal to:
E(HN)=∑(1/2)^i⋅(E(H^N)+i)+(1/2)^N⋅(N) (from i = 1 to N)
This can be condensed to: E(HN)=2 (2N–1).
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Alisa drove from her house to the beach at a speed of 55 miles per hour. If it took her 1.8 hours to get to the beach, about how many miles away from the beach is Alisa's house?
99 miles distance is away from the beach is Alisa's house .
What is Distance?
Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.An illustration. If an automobile drives 5 km east, then turns and drives 8 km further north, the total distance driven by the car is 13 km.Alisa drove from her house to the beach at a speed = 55 miles per hour
Time that took her to get to the beach = 1.8 hours
the beach is Alisa's house = distance = speed * time
= 55 * 1.8 ⇒ 99 miles
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how much larger is the combined debt of the three most populous states than of the three least populous states? Express your answer in scientific notation. Three most populous- 1.02 X 10*10 Three least populous- 1 X 10*10
NEED HELP ASAP!!!!!!!!
The combined debt of the three most populous states is -2 × 10⁹ bigger than that of the three least populous states.
What is the arithmetic operator?Summarization, subtraction, division, and multiplication are the four fundamental mathematical operations covered under the term "arithmetic operators."
Given the combined debt of ;
Most populous = -1.02 × 10¹⁰
Least populous = -1 × 10¹⁰
Most populous - Least populous ⇒
( -1.02 × 10¹⁰) - (-1 × 10¹⁰)
⇒ -0.2 × 10¹⁰
Multiply and divide by 10
⇒ -0.2 × 10/10 × 10¹⁰
⇒ -2 × 10¹⁰/10
⇒ -2 × 10⁹
Hence "The combined debt of the three most populous states is -2 × 10⁹ bigger than that of the three least populous states".
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I need help asap!!!!!
The area of the composite figure is 32 mm²
How to find area of a composite figure?The area of a composite figure can be found by summing the area of the whole shape.
Therefore, the composite figure is a parallelogram and a triangle.
area of the composite figure = area of the triangle + area of the parallelogram
area of the triangle = 1 / 2 bh
area of the triangle = 1 / 2 × 8 × 2
area of the triangle = 16 / 2
area of the triangle = 8 mm²
area of the parallelogram = bh
area of the parallelogram = 6 × 4
area of the parallelogram = 24 mm²
Therefore,
area of the figure = 8 + 24 = 32 mm²
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Transform
ation
Rotation
of 900
countercl
ockwise
about th
origin
Preimage
Point
(-2,-7)
(x = ?, y = ?
)
X
Image
Point
coordinate
is
is
type your
and y
coordinate
type your
After a 90° rotation counterclockwise the co-ordinate of the image is
( 7 , - 2 ).
A transformation in which the figure is rotated around a fixed point is called rotation of a graph.
Both clockwise and counterclockwise rotations are possible.The graph can be rotated 360 degrees to return to its initial position.The side length of the rotated figure is unaffected by rotation.The modified figure is equivalent to the original figure when a polygon is rotated around a fixed point.When a given point on a graph is rotated counter clockwise 90° then the co-ordinate of the point will change accordingly.
When A( x , y) is rotated 90° the resulting image will become A'( -y , x ).
∴( - 2 , - 7 ) → ( 7 , - 2 )
Therefore the co-ordinate of the image is ( 7 , - 2 ).
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What is the Greatest common factor of 20, 36, and 76? Show your work
Answer:
To sum up, the gcf of 76 and 20 is 4. In common notation: gcf (76,20) = 4
Answer:
GCF = 4
Step-by-step explanation:
Expand each and find numbers that each has in common:
20 = 2 x 2 x 5
36 = 2 x 2 x 3 x 3
76= 2 x 2 x 19
Then: 2 x 2 = 4
Hope this helps!
what is the potential outlier in the population density data set? 1,19,35,43,49,55,63,94,105,110,175,231,239,351,738
Check the picture below.
let's noticed the distances from one to the next value in the dataset, let's notice the distance on the last one.
in 1988, galena christyakova set the women's long jump record of 7.52 meters. in 1991, mike powell set the men's long jump record of 8.95 meters. how much farther (ef) would galena have to jump in order to tie mike's record?
Answer: 1.43 meters
Step-by-step explanation:
subtract 7.52 from 8.92 and that's the difference so that is how far she would have to jump to tie the record
for a mid-day snack, theresa had one of her mother's fresh peanut butter cookies with a glass of whole milk. this snack has 400 calories, of which 234 kcalories came from fat. what percentage of total calories came from fat in theresa's snack?
WILLGIVE BRAINLIST 2 BEST ANSWER AND EXTRA POINTS
David works for an advertising company, and is currently hired to help a small ice cream shop. He sells his services using a commission approach with the company, where he gets paid $100 from the advertising company, and then $0.50 per customer that mentions his name from his advertisements and purchases an item in the ice cream shop. If David received $401.50 for his services, which of the following equations in the drop-down menu below models David’s pay from working with the small ice cream shop?
A 401.50=0.50x=100
B 401.50=100x=0.50
C 401.50x=100x=0.50
D 401.50=0.50=x=100
thats it
PLEASEHELPPPPPPPPP
Answer: 401.50=100x=0.50
Step-by-step explanation:
Question 10(Multiple Choice Worth 1 points)
(01.05 MC)
Read the following statements:
Statement 1: If it is a triangle, then it has three sides.
Statement 2: If it does not have three sides, then it is not a triangle.
Are the two statements logically equivalent?
No, only one statement is true.
Yes, both statements are false.
Yes, both statements are true.
No, both statements are false.
Both statements are correct. The right answer is C.
What are the statement and conclusion?Statement and conclusion are essentially a part of logical reasoning. A statement and a series of conclusions will be presented in this section. The conclusion that most logically follows the statement must be chosen.
Given that:-
Statement 1: If it is a triangle, then it has three sides.
Statement 2: If it does not have three sides, then it is not a triangle.
In the statement and conclusion, we only believe the facts that are given in the statement and according to that, we estimate our answer.
The given two statements are logically equivalent. Therefore, the statements are correct. The right answer is C.
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a highway is to be built between two towns, one of which lies 48.6 km south and 60.3 km west of the othe
Answer:
whats the rest of the question or what's the available answers
what is the width of a parralleogram that has an area of 19.84 square feet and the length of 6.2 feet
The width of a parallelogram that has an area of 19.84 square feet and a length of 6.2 feet is 3.2 feet.
What do you mean by parallelogram?A unique variety of quadrilateral called a parallelogram has both pairs of opposite sides parallel and equal. The illustration displays a parallelogram ABCD with the coordinates AB II CD and AD II BC. Moreover, AB = CD and AD = BC.
There are many parallelogram-like shapes and items all around us, whether they be in the form of structures, tiles, or paper. Buildings: When constructing a lot of structures, parallelograms are kept in mind. Hamburg, Germany's Dockland Office Building is a well-known example of this in real life.
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Lily replicates an experiment that found that the number of calories in a particular food is 50 kcal. She obtained data from five trials: 50 kcal, 72 kcal, 50 kcal, 12 kcal, and 50 kcal.
Which best describes her data results?
Answer:72 cal
Step-by-step explanation:
50 plus 75 is 75 cal
Point P is located 3/5 of the way from point A to point E. Point A is located at (-1, -1) and point P is located
at (-7,5). What are the coordinates for point E?
By using the line segment formula, we conclude that the coordinates of point E are E(x, y) = (- 11, 9).
How to determine the coordinates of the missing endpoint of a line segment
In this problem we find a line segment of which the coordinates of an endpoint and a point within the segment and in accordance with a segment ratio are known. The coordinates of the other endpoint must be found in accordance with the following expression:
E(x, y) = A(x, y) + k · [P(x, y) - A(x, y)] (1)
Where E(x, y) is the missing endpoint.
If we know that A(x, y) = (- 1, - 1), P(x, y) = (- 7, 5) and k = 5 / 3, then the coordinates of point E are:
E(x, y) = (- 1, - 1) + (5 / 3) · [(- 7, 5) - (- 1, - 1)]
E(x, y) = (- 1, - 1) + (5 / 3) · (- 6, 6)
E(x, y) = (- 1, - 1) + (- 10, 10)
E(x, y) = (- 11, 9)
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pls help will mark as brainliest
Answer:
p = 11 , q = 3
Step-by-step explanation:
solution file attached
recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, how much flour is needed?
3 and StartFraction 1 Over 12 EndFractioncups
3 and one-fourthcups
3 and StartFraction 5 Over 12 EndFractioncups
3 and StartFraction 11 Over 12 EndFractioncups
The flour that is needed is C. 3 and StartFraction 5 Over 12 EndFractioncups
How to calculate the fraction?The recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, the flour that will be needed will be:
= 3 2/3 - 1/4
= 3 8/12 - 3/12
= 3 5/12
Therefore, the correct option is C.
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WILL GIVE YOU EXTRA POINT BY BRAINLIEST (need help asap THANKS)
Answer:
36 units
Step-by-step explanation:
3x + 3 + 11 x + 6 = 166 Combine like terms
14x +9 = 166 Subtract 9 from both sides
14x = 157 Divide both sides by 14
x = 11.2142857143 Round to the nearest whole number
x = 11
Now that we know x = 11 we can solve for AG
3x + 3
3(11) + 3
33 + 3
36