The width and the area of the flower bed cannot be determined because it has extraneous solutions
Calculating the area of the flower bedFrom the figure, the dimensions of the flower bed are (4 + x) by (6 + x)
So, the area is
Area = (4 + x) * (6 + x) ---- as a multiplication of binomials
When expanded, we have
Area = x² + 10x + 24
Solving for x, we get
x = -4 and x = -6
Both solutions are extraneous
This is so because the value of x cannot be negative
And as such the width of the flower bed cannot be determined
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PLEASE HELP
FIND THE VOLUME OF EACH FIGURE
ROUND TO THE NEAREST TENTH!
Thank you
Answer:
Sphere=2144.6
Cylinder=1693.3
Cone=2093.3
Step-by-step explanation:
O.5% as a fraction and decimal
Answer: As a fraction: 1/2
As a decimal: 0.005
Step-by-step explanation:
FRACTION:
To figure out how to write 0.5% as a fraction, all you need to know is that 0.5 = to a half, or 1/2 because 0.5 is half of 1.
DECIMAL:
0.5% as a decimal form is 0.005 because it is 1000 times less than 1, so you move the 0 3 times right.
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The length KL is 8 units
The value of x is undefined
The length KL is 12 units
Calculating the length KLFrom the question, we have the following parameters that can be used in our computation:
The rhombus
Also, we have
DK = 8
A rhombus is a quadrilateral with all sides equal.
So, we have
KL = 8
Calculating the value of xHere, we have
SKAL = 2x - 8
There is no point S on the rhombus
This means that
x = undefined
Calculating the length KLHere, we have
DM = 5y + 2 and DK = 3y + 6
A rhombus is a quadrilateral with all sides equal.
So, we have
5y + 2 = 3y + 6
Evaluate
2y = 4
Divide
y = 2
So, we have
KL = 5 * 2 + 2
KL = 12
Hence, the length KL is 12 units
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Which of the following functions is graphed below?
O A. y - x - 61+3
O B. y - x + 61-3
O C. y = x +61+3
D. y - x - 61-3
Answer:
B
Step-by-step explanation:
Since the vertex of the function is (-6, -3), we know the equation must be y = |x + 6| - 3.
Answer:
B. |x+6|-3
Step-by-step explanation:
Well we can tell by looking at the graph that the line has a y-intercept of +3,
meaning we can cross out choices A and C.
Now we can graph B and D,
Look at the image below ↓
By looking at the graphed lines we can tell that y = |x+6|-3 is the correct answer.
Wel can also conclude that choice B is correct because of its vertex being at (-6,-3).
Thus,
answer choice B is the correct answer.
Hope this helps :)
Write 0.57 as a fraction in simplest form.
0.57 =
Answer:
57/100
Step-by-step explanation:
This is the answer because:
1) Since 0.57 in the hundredths place, the denominator is going to be 100
2) We have 57 of a 100, therefore, 57 is going to be the numerator
3) Now, our fraction is 57/100
4) We cannot simplify this fraction any further because they do not have any common multiples or factors
Hope this helps!
Answer: 57/100
I hope this helps :)
given the points (-4,8)and(6,-12)
1 Determine the midpoint of the line segment connecting the points.
2 Determine the distance separating the two points
Answer:
1.
\(midpoint = ( \frac{ - 4 + 6}{2} , \: \frac{ - 12 + 8}{2} ) \\ = (1, \: - 2)\)
2.
\(distance = \sqrt{ {( - 4 - 6)}^{2} + {( - 12 - 8)}^{2} } \\ = \sqrt{500} \\ = 22.4 \: units\)
Need help with the provided questions
$50,000 for 6 months at 7% simple interest
Answer:
,11130000000000000000
PLEASE ANSWER FAST
If n
A
-3, which expression has the least value?
n²no
n8n-5
nn
-nnn-4
B
2 Write the number 8375 correct to the nearest thousand
the nearest thousand is 8000
Martina has 240 meters of fencing and wishes to form three sides of a rectangular field. The fourth side borders a river and will not need fencing.
As shown below, one of the sides has length x (in meters).
x
Side along river
(a) Find a function that gives the area Ax of the field (in square meters) in terms of x.
=Ax
(b) What side length x gives the maximum area that the field can have?
Side lengthx:meters
(c) What is the maximum area that the field can have?
Maximum area:square meters
Answer:
Step-by-step explanation:
Answering a comes from simplification, and answering b and c are done all in one step: completing the square on the quadratic that results from a.
(a) If Martina has 240 m of fencing and is only utilizing one side for the length and 2 sides for the width, the perimeter formula is
240 = x + 2w where x is a length and w is the width. Solving this for w in terms of x:
240 - x = 2w so
\(w=120-.5x\) The area for a rectangle is L * W, so our area using the lengths we have is
A(x) = x(120 - .5x) and we simplify:
A(x) = 120x - .5x² That's the answer to a.
Now for b and c, we will complete the square on this to get the vertex.
Begin by factoring out the -.5:
\(A(x)=-.5(x^2-240x)\) Now we take half the linear term, square it and add it both inside the parenthesis and outside the parenthesis. Our linear term is 240. Half of 240 is 120, and 120 squared is 14400:
\(A(x)=-.5(x^2-240x+14400)+7200\) (The 7200 comes from multiplying the 14400 times the -.5; -.5 times 14400 is -7200 so to balance things out, we have to add 7200).
The perfect square binomial that results from this is
A(x) = -.5(x - 120)² + 7200. From this we determine that our vertex is
(120, 7200). The 120 is the value of x, the length we are asked to find in b; the 7200 is the max area we are asked to find in c.
The required solutions are,,
(a) area = 240x - 2x²
(b) the side adjacent to the rivers gives the maximum length of the field.
(c) the maximum area could be 6400-meter square.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
length of the field is x,
The perimeter of the field, = 240
x + x + width = 240
width = 240 - 2x
now,
(a)
area of the field,
= length * width,
= x(240-2x)
= 240x - 2x²
Similarly,
(b) the side adjacent to the rivers gives the maximum area of the field.
(c) the maximum area could be 6400-meter square.
Thus, the required solutions are mentioned above.
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Which of the following pairs of sample size n and population proportion p would produce the greatest standard deviation for the sampling distribution of a sample proportion p?
Therefore , the solution of the given problem of standard deviation comes out to be option C with n = 1,000 and p near to 1/2 is the right response.
What does standard deviation actually mean?Statistics uses variance as a way to quantify difference. The image of the result is used to compute the average deviation between the collected data and the mean. Contrary to many other valid measures of variability, it includes those pieces of data on their own by comparing each number to the mean. Variations may be caused by willful mistakes, irrational expectations, or shifting economic or business conditions.
Here,
The following algorithm determines the standard deviation of the sampling distribution of a sample proportion p:
=> √((p*(1-p))/n)
where n is the sample size, and p is the population percentage.
For the sampling distribution of a sample proportion p,
the pair of sample number n and population proportion p that would result in the highest standard deviation is:
=>n =1,000, and p is almost half.
Because p=1/2
yields the highest possible value of the expression (p*(1-p)), a bigger sample size will result in a smaller standard deviation.
The standard deviations will be lower for the other choices, which have smaller sample sizes or extreme values of p.
Therefore, (C) with n = 1,000 and p near to 1/2 is the right response.
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look into the sky and how many stars do u see
Answer:
its day time rn
Step-by-step explanation:
step by step explanation
50 points!!
Solve for x and y given the 2 triangles are SIMILAR
Answer:
x/3=4.5/1.5
1.5x=3*4.5
x=13.5/1.5
x=9
Step-by-step explanation:
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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1. An island is considering adding another character to their vehicle license plates in order to increase thenumber of license plates available. Currently, a license plate must have exactly four-character spaces. Eachcharacter space may be filled with any capital letter other than I, B, Z, or 0 or any number between, andincluding, o to 9. Letters and numbers may repeat on the plates.(a) How many different license plate numbers are available under the current structure of exactly fourcharacters per plate? Show your calculations.(a) If the state required all license plates to have exactly five characters instead of four, how manydifferent license plate numbers would be available with the additional character requirement? Showyour calculations(a) How many times bigger is the set of license plate numbers with exactly five characters than that withthe set of four characters? Show your calculations.
We have a total of 26 letters and 10 algarisms.
After removing the letters I, B, Z and O, we will have 22 letters and 10 algarisms, therefore 32 options for each space.
a)
In order to find the number of licence plates available, we just need to multiply the number of possibilities for each space, so we have:
\(32\cdot32\cdot32\cdot32=1048576\)b)
Since we have one more space, we just need to multiply the previous result by 32 again:
\(1048576\cdot32=33554432\)c)
Dividing the values, we have:
\(\frac{33554432}{1048576}=32\)Which equation represents the rental cost of the company with the least expensive hourly rate?
Answer:
c. y = 2x + 4
Step-by-step explanation:
Hope you got it.
a middle school principal wants to change the lunch menu at the school. The principal surveys the students to determine how the students would feel about the changes. Which survey method will produce the best representative sample?
The survey method which will produce the best representative sample is option B. survey 3 randomly selected students from every homeroom.
What are Sampling Methods?Sampling methods are methods used to select a sample using specific methods. This includes various types of probability sampling and non probability sampling methods.
Here given that,
a middle school principal wants to change the lunch menu at the school.
It is impossible to survey the whole students in school.
In order for the survey results to be the best representative of the whole school, it is important to survey students representing each class and group.
So when we survey every fifth student who rides in a car to school, survey will be biases to only the students who travels in car.
When the survey only done to seventh grade students, it is also biased.
When the survey is done in art and music classes, again the survey will be biased since only the music students takes place.
If students from every homeroom is selected, it will represent the whole school.
Hence the best method is option B.
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A middle school principal wants to change the lunch menu at the school. The principal surveys the students to determine how the students would feel about the changes. Which survey method will produce the best representative sample? A: survey every fifth student who rides in a car to school B: survey 3 randomly selected students from every homeroom C: survey every tenth seventh grade student during lunch D: survey 5 randomly selected students from every art, drama, and music class
Find the value of x, 6,4, 3x, 4x+1
Answer:
If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.
6(3x) = 4(4x + 1)
18x = 16x + 4
2x = 4
x = 2
These two triangles are congruent.
b
B
6 cm
1049
12 cm
9 cm
A
47°
'R
29°
29°
12 cm
с
P
a)
What is the size of angle Q?
Answer:
47 degree.
Step-by-step explanation:
Answer:
i guess the size of angle Q ks 47 degree.
45 people in a certain company can work together to finish a project in 15 days. For a project of the same workload, the company decided to use 15 people. Assume all people have the same level of productivity.
in how many days can this project be completed?
- 5 days
- 10 days
- 22.5 days
- 45 days
Therefore, the number of days required for 15 people to complete the project is 15 × 3 = 45 days. Hence, the answer is 45 days.
Given that 45 people in a certain company can work together to finish a project in 15 days.Assuming that all people have the same level of productivity, let the total work be W.
Therefore, the work done by the 45 people in 1 day is W/15 and the work done by 1 person is (W/15)/45 = W/675.Assuming that the company decided to use 15 people for the same workload, let the number of days be x.
Therefore, the work done by the 15 people in 1 day is W/x and the work done by 1 person is (W/x)/15 = W/15x.Since the workload is the same, we have W/675 × 10 = W/15x. Solving this equation for x, we get:x = 45 × 10/3 = 150 days.
Therefore, if 15 people are used, the project will take 150 days to complete. Hence, the answer is 150 days.
Alternatively, we can use the concept of man-days, which states that the work done is directly proportional to the number of people and the number of days.
Let M be the number of man-days required to complete the project. Then, we have:
M = 45 × 15 = 15 × 15p,
where p is the number of days required when 15 people are used.Solving this equation for p, we get
:p = (45 × 15)/(15 × 15) = 3/1 = 3 days per person.
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Find the missing side. 31° Z z = [?] Round to the nearest tenth. Remember: SOHCAHTOA 21
A²+B²= C²
31²+ 21²= z²
961+441 = z²
1402= z²
z= 37.443290454
You have savings of 30,000. You invest in a bond mutual fund that pays 3% simple interest. What are your total savings after 20 years?
Answer:
54,183.34
Step-by-step explanation:
a = 30,000(1.03)²⁰
a = 54,183.34
Option A: An employer provides two payment options for employees. Option A: Receive $200 the first week. Receive an additional $50 for each of the following weeks. Option B: Receive $200 the first week. Receive an additional 10% for each of the following weeks. (Score for Question 1: ___ of 2 points) 1. Complete the tables to show how much money would be received for both payment options, each week, for 6 weeks. Week 1 2 3 4 5 6 Amount Paid Option B: Week 1 2 3 4 5 6 Amount Paid Answer:
The amount of money received by the employees for each of the payment options for the respective weeks are;
Payment Option A;
Week 1 = $200
Week 2 = $250
Week 3 = $300
Week 4 = $350
Week 5 = $400
Week 6 = $450
Payment Option B;
Week 1 = $200
Week 2 = $220
Week 3 = $240
Week 4 = $260
Week 5 = $280
Week 6 = $300
Payment Option A;
Amount received in the first week is $200
The employees are to receive $50 for each of the following weeks after the first.
Thus;
Amount received in the following weeks are;
Week 2 = $200 + $50 = $250
Week 3 = $250 + $50 = $300
Week 4 = $300 + $50 = $350
Week 5 = $350 + $50 = $400
Week 6 = $400 + $50 = $450
Payment Option B;
Amount received in the first week is $200
The employees are to receive 10% additional for each of the following weeks after the first.
Thus;
Amount received in the following weeks are;
Week 2 = $200 + (10% × 200) = $220
Week 3 = $220 + (10% × 200) = $240
Week 4 = $240 + (10% × 200) = $260
Week 5 = $260 + (10% × 200) = $280
Week 6 = $280 + (10% × 200) = $300
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The cost of painting a wall that is 5 meters wide and 212 meters tall is $50. How many square meters can be painted for $1?
Answer:
21.2 square meters
Step-by-step explanation:
The area of a parallelogram is base • height.
So:
1. Calculate the area of what you can get for $50. 5 • 212 = 1060 square meters.
2. Now you divide the first price ($50) by the desired price ($1). This one is easy because 50 / 1 = 50, but I'm putting this here for future reference in case you need to solve a problem that has a desired price that's greater than $1.
3. Divide the answer to step one by the answer to step two to get the area you can have painted for $1. 1060 / 50 = 21.2 square meters.
the perimeter of a triangle is 32 feet. One side of the triangle is 11 feet longer than the second side. The third side is 9 feet longer than the second side. Find the length of each side.
Answer:
One side - 15 feet
Second side - 4 feet
Third side - 13 feet
Step-by-step explanation:
Let's call the sides A B and C, respectively.
We know that:
A = B + 11
C = B + 9
and that
A + B + C = 32
Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.
A + B + C = (B + 11) + B + (B + 9) = 32
3B + 20 = 32
3B = 12
B = 4
The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).
Write down the time using the 24-hour time format
Answer: 19:30 is the current time as per the 24-hour time format
Step-by-step explanation: We know that a day has 24 hours. The time can be shown in two different formats- the 12-hour format and the 24-hour format. 12 hour format ranges only from 1-12 on the hour while 24-hour format varies from 1-24 representing the hour.
The 24 hour time format is quite simple- marks one number each for one hour. If the Reading says 19:30, it simply means hour 19 of that day. 12-hour time format is different since it makes use of A.M. (Ante Meridiem) and P.M. (Post Meridiem).
giving brainliest !!
answer asap
Answer:
352 in squared
Step-by-step explanation:
Using the formulas
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving forA
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=12·8+10·8+10·8+1
2·﹣124+2·(12·10)2+2·(12·10)2﹣104+2·(10·10)2﹣104
=352
Please help! What is the surface area of the cylinder with height 4 m and radius 8 m? Round your answer to the nearest thousandth.
Make sure to round please.
The surface area of the cylinder is 948m²
What is surface area of cylinder?The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;
SA = 2πr(r+h)
Where r is the radius of the base and h is the height of the cylinder.
r =8m
h = 4m
SA = 2 × 3.14 × 8 (8+4)
SA = 78.96 × 12
SA = 947.52 m²
to the nearest whole number
SA = 948 m²
therefore the surface area of the cylinder is 948 m²
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The figure shows three tennis balls in a can with each tennis ball having a diameter of 2.5 inches. What is the total volume of the air space around the three tennis balls?
The total volume of the air space of spherical ball is A = 12.265625 inches³
Given data ,
Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.
The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.
The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.
The formula for the volume of a cylinder is:
V = πr²h
V = ( 3.14 ) ( 1.25 )² ( 7.5 )
V = 36.796875 inches³
where V is the volume, r is the radius, and h is the height.
So, the volume of the one ball is:
V₁ = ( 4/3 )π(1.25)³
V₁ = 8.177083 inches³
The total volume of three balls is = volume of 3 spherical balls
V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches
Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³
A = 12.265625 inches³
Hence , the volume of air space is A = 12.265625 inches³
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