Answer:
(0, -1)
Step-by-step explanation:
((4 + (-4))/2, (2 + (-4))/2) =
(0/2, -2/2) =
(0, -1)
Samuel needs 346 feet of wood to build a fence. The wood comes in lengths of 15 feet.
How many total pieces of wood will Samuel need? Theresa needs twice as many feet of wood as Samuel.
How many pieces of wood does Theresa need?
Samuel needs
pieces of wood. Theresa needs
pieces of wood.
Length of wood Samuel needs to build a fence = 346 feet
Length of each piece of wood = 15 feet
Number of wood pieces he will have with him :-
\( = \frac{346}{15} \)
Samuel will need 23 pieces of wood .
Length of wood Theresa needs to build a fence :-
= 346 × 2
= 692 feet wood
Number of wood pieces Theresa will need :-
\( =\frac{692}{15} \)
\( = 42 \: pieces \: of \: wood\)
Therefore , Samuel needs 23 pieces of wood and Theresa needs 42 pieces of wood .
After working satisfactorily for 6 months, Collin will be eligible for a 7% raise. How much will Collin's
gross salary be, after her raise, for each 2-week pay period? His current gross salary is $1,083.34.
Collin's gross salary, after the 7% raise, for each 2-week pay period, will be approximately $1,159.17.
To calculate Collin's gross salary after the 7% raise for each 2-week pay period, we need to find the raise amount and add it to his current gross salary.
Collin's current gross salary is $1,083.34.
To find the raise amount, we multiply his current gross salary by 7% (or 0.07):
Raise amount = $1,083.34 \(\times\) 0.07
= $75.8338 (rounded to two decimal places)
Now, we add the raise amount to his current gross salary to find the new gross salary:
New gross salary = $1,083.34 + $75.8338 = $1,159.1738 (rounded to two decimal places)
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A man bought two pencils and three biros at a cost of 50, Again he bought three pencils and four biros for 70. find the cost of a pencil and a biro
the daily totals of enrollments at sunny side daycare last monday through saturday were 17, 19, 23, 14, 25, and 28
The average number of enrollments per day at the Sunnyside Daycare is 21.
What is an average?An average is a result obtained by summing some numerical values and then dividing the total by the number of values or variables.
An average is the mean, which is one of the central tendency values.
Data and Calculations:Day Number of Enrollments
Monday 17
Tuesday 19
Wednesday 23
Thursday 14
Friday 25
Saturday 28
Total = 126
Average enrollments = 21 (126/6)
Thus, the average number of enrollments per day at the Sunnyside Daycare is 21.
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Question Completion:What was the average number of enrollments per day?
A day is equivalent to 8.64 x 104 seconds. What is this time in standard form? OA. 8,640 seconds OB. 864,000 seconds OC. 86,400 seconds OD. 864 seconds
On a coordinate plane, 2 trapezoids are shown. The first trapezoid has points A (negative 1, 0), B (0, 2), C (3, 2), and D (4, 0). The second trapezoid has points A prime (negative 1, 0), B prime (0, negative 2), C prime (3, negative 2), and D prime (4, 0). What is the rule for the reflection? ry-axis(x, y) → (–x, y) ry-axis(x, y) → (x, –y) rx-axis(x, y) → (–x, y) rx-axis(x, y) → (x, –y)
Answer:
The answer is D
Step-by-step explanation:
I just took the test
The rule of reflection is rx-axis (x , y) → (x, –y)
What is rigid transformation?A rigid transformation (also called an isometry is ais transformation of the plan that preserves length. In a rigid transformation the preimage and image are congruent (have the same e shape and sizes).
If pint (x, y) is reflected across than e x-axis, then its image will be (x, -y), and the rule of reflection is; rx-axis (x , y) → (x , -y)
If point (x , y) reflected across the y-axis , then its image will be (-x, y) , the rule of reflection is; ry-axis (x , y) → (-x , y)
The first trapezoid has vertices
A (-1, 0) B (0and, 2), C (3, 2), and D (4, 0).
The second trapezoid has vertices
A' (-1, , B' (0, - , C' (3, - , D' (4, 0)
The x-coordinates of point A' , B' , C' , D' have the same values and opposite signs of the x-coordinates of points B and C.
Hence, The rule of reflection is rx-axis (x , y) → (x, –y)
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The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with grams of a radioactive isotope, how much will be left after 4 half-lives?
After 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
The amount of a radioactive isotope remaining after a certain number of half-lives can be calculated using the formula:
Amount remaining = Initial amount × (1/2)^(number of half-lives)
In this case, we are given the initial amount as "grams" and we want to find out the amount remaining after 4 half-lives.
So, the equation becomes:
Amount remaining = Initial amount × (1/2)^4
Since each half-life reduces the quantity to half, (1/2)^4 represents the fraction of the initial amount that will remain after 4 half-lives.
Simplifying the equation:
Amount remaining = Initial amount × (1/16)
Therefore, after 4 half-lives, only 1/16th (or 0.0625) of the initial amount of the radioactive isotope will remain.
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A law school reports that 74% of last year’s graduates are employed by law firms, 3% work for the government and 2% work for nonprofit organizations. The rest of the graduate’s work at jobs unrelated to law. Based on these outcomes, which of the following is the percentage of graduates working jobs unrelated to law?
The percentage of graduates who are engaged in jobs unrelated to law is about 21%
The total percentage working at jobs related to law :
Percentage employed by law firms = 74%Government = 3%Non - profit organizations = 2%Total = (74% + 3% + 2%) = 79%
Percentage working at jobs unrelated to law :
Total percentage of graduates - percentage working at jobs related to law
100% - 79% = 21%
Therefore, 21% of the graduates work at jobs unrelated to law.
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Use the Distributive Property and then Combine Like Terms (C.L.T.) to simplify: 2(3n−5)−4n+7
Answer:
Step-by-step explanation:
2(3n-5)-4n+7=
6n-10-4n+7=
-3+2n
Answer:
2n-3
Step-by-step explanation:
2(3n-5)-4n+7
6n-10-4n+7
6n-4n-10+7
2n-10+7
2n-3
Please mark me as Brainliest if you're satisfied with the answer.
Nine times a number is 30 more than three times that number. Find the number
Answer:
From this question, we can write
Let n be the number.
9n=3n+30
6n=30
n=5
We find that the number is 30.
Hi there!
it would be 10.. if your asking for what multiply by 9 and 3 more than the number.
1.Find common multiply:
\(9,18,27,36,45,54,63,72,81,90,99\)
\(30,60,90,120\)
2.Find what nine can multiply to and 30 can also:
\(=90\)
3.Divide two terms:
\(90*9=10\)
This means, the number would be 10.
A rectangular driveway is 34 feet long and 14 feet wide. What is its perimeter? answers ,96ft² ,48ft ,96ft ,48ft² []
96ft² is its perimeter of rectangular driveway .
What is a rectangle's area perimeter?
All parallelograms are also rectangles, however not all rectangles are parallelograms. The formula P=2l+2w, where l is the rectangle's length and w is its width, determines the perimeter P of a rectangle. The equation A=lw, where l is the length and w is the width, determines the area A of a rectangle.Given,
l = 34 feet
w = 14 feet
perimeter of rectangular driveway = 2 ( l + w )
= 2 ( 34 + 14 )
= 2 * 48
= 96 ft²
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find the distance between the following pairs of points (-1,5)and(-7,-3)
The distance between the points (-1, 5) and (-7, -3) is 10 units.
What is the distance between the given points?The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Point 1 (-1,5)
x₁ = -1y₁ = 5Point 2 (-7,-3)
x₂ = -7y₂ = -3Plug the given values into the distance formula and simplify.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
D = √[(-7 - (-1))² + (-3 - 5)²]
D = √[(-7 + 1)² + (-3 - 5)²]
D = √[-6² + (-8)²]
D = √[36 + 64]
D = √100
D = 10
Therefore, the distance is 10 units.
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Please help I’m stuck and keep getting the wrong answer
The time spent higher than 26 meters above the ground is 0.42 minutes. Answer: 0.42
A Ferris wheel is 30 meters in diameter and boarded from a platform that is 4 meters above the ground.
The six o'clock position on the Ferris wheel is level with the loading platform.
The wheel completes 1 full revolution in 2 minutes.
We have to find how many minutes of the ride are spent higher than 26 meters above the ground.
So, let's start with some given data,Consider the height of a person at the six o'clock position = 4 meters
So, the height of a person at the highest point = 4 + 15 = 19 meters (since the diameter is 30 meters, the radius will be 15 meters)
Also, the height of a person at the lowest point = 4 - 15 = -11 meters
Therefore, the Ferris wheel completes one cycle from the lowest point to the highest point and back to the lowest point.
So, the total distance travelled will be = 19 + 11 = 30 meters.
Also, we are given that the wheel completes 1 full revolution in 2 minutes.
We need to calculate the time spent higher than 26 meters above the ground.
So, the angle between the 6 o'clock position and 2 o'clock position will be equal to the angle between the 6 o'clock position and the highest point.
This angle can be calculated as follows:
Angle = Distance travelled by the Ferris wheel / Circumference of the Ferris wheel * 360 degrees
Angle = 30 / (pi * 30) * 360 degrees
Angle = 360 degrees / pi
= 114.59 degrees
So, the total angle between the 6 o'clock position and the highest point is 114.59 degrees.
Now, we need to find out how much time is spent at an angle greater than 114.59 degrees.
This can be calculated as follows:
Time = (Angle greater than 114.59 degrees / Total angle of the Ferris wheel) * Total time taken
Time = (180 - 114.59) / 360 * 2 minutes
Time = 0.42 minutes
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Serena is cycling from dance class to her home. The equation shows Serena's distance (y), in miles, from her home after x minutes:
y = 16 − 6x
What does the number 16 in the equation represent? (1 point)
a
Serena's distance from home when she begins cycling
b
Serena's distance from the dance class when she begins cycling
c
The speed at which Serena is cycling from the dance class to her home
d
The rate of change of Serena's speed while cycling from the dance class to her home
In linear equation, 16 is represent The speed at which Serena is cycling from the dance class to her home
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
6x + y = 16
6x = 16 - y
x = 8/3 - y/6
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4. Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.
How long will it take for Peter to finish the job alone?
How long will it take for Emily and Peter to finish the job together.
According to the unitary method,
A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.
B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.
Unitary method:
In math, unitary method refers the process of finding the value of a single unit, and based on this value.
Given,
Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.
Here we need to find the following:
A) The time take for Peter to finish the job alone
B) The time taken for Emily and Peter to finish the job together
Let us consider x be the time taken for Peter to finish the job alone.
So, based on the given question we can write it as,
=> 1/6 + 1/8 + 1/x = 1/2
=> (8 + 6)/48 + 1/x = 1/2
=> 14/48 + 1/x = 1/2
=> 7/24 + 1/x = 1/2
=> 1/x = 1/2 - 7/24
=> 1/x = 12 -7/24
=> 1/x = 5/24
=> x = 24/5
=> x = 4.8
So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.
Then the time taken for Emily and Peter to finish the job together is calculated as,
=> 5/24 + 1/6
=> 5 + 4/ 24
=> 9/24
=> 3/8
Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.
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PLEASE HELP QUICK!!! Six friends, four boys and two girls, went to a movie theater. They wanted to sit in a way so no girl sits on either first or last chair. How many such arrangements are possible?
Answer:
I think the answer is 6
Step-by-step explanation:
B = Boy
G = Girl
B G G B B B
B G B G B B
B G B B G B
B B G G B B
B B G B G B
B B B G G B
The next model of a sports car will cost 5.1% less than the current model. The current model costs $37,000 how much will the price decrease in dollars? What will be the price of the next model?
Decrease in the price is $1887, the price of the next model car is $35,113.
What is percentage?Percentage is a measurement to find value of the given number out of hundred.
Given that,
Price of current model = $37,000
The price of next model car is 5.1% less than the current model.
The price of the next model car = 94.9% of price of current model car
= 94.9 x 37,000/100
= 35,113
The decrease in the price = 37,000 - 35,113 = 1887
The price of the next model car is $35,113 and decrease in the price is $1887.
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Suppose that a and b are integers with a < b How many numbers are in the list a, a+1, a+2.... b?
So I thought about doing a-(a-1) to get the first number to one so the list becomes 1,2,3 but i soon realized that does not work
The count of numbers in the list a, a+1, a+2.... b is b - a + 1
How to determine the count of numbers in the list a, a+1, a+2.... b?The list of numbers is given as:
a, a+1, a+2.... b
From the above list, we can see that the numbers are consecutive numbers.
This means that, the count of numbers in the list is
Count = Highest - Least + 1
Where
Highest = b
Least = a
Substitute the known values in the above equation
Count = b - a + 1
Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1
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Consider a tree T with n vertices, where n is an odd integer greater than or equal to 3. Let v be a vertex of T. Prove that there exists a vertex u in T such that the distance between u and v is at most (n-1)/2
There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.
To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.
Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.
Denote this path as P. Let x be the vertex on path P that is closest to v.
By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.
Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.
Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.
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26
Ping lives at the corner of 3rd Street and 6th Avenue. Ari
lives at the corner of 21st Street and 18th Avenue. There is
a gym į the distance from Ping's home to Ari's home.
24
22
20
n
Ari (21.18)
7
x =
18
(x2 – x) + x3
mi+n
16
Avenue
14
-- ( , Jive - y) +
12
10
Where is the gym?
00
6
Ping (36)
4
2
9th Street and 10th Avenue
12th Street and 12th Avenue
0 14th Street and 12th Avenue
15th Street and 14th Avenue
2
x
4 6 8 10 12 14 16 18 20 22 24 26
Street
Corrected Question
Ping lives at the corner of 3rd Street and 6th Avenue. Ari lives at the corner of 21st Street and 18th Avenue. There is a gym 2/3 the distance from Ping's home to Ari's home. Where is the gym?
9th Street and 10th Avenue 12th Street and 12th Avenue 14th Street and 12th Avenue 15th Street and 14th AvenueAnswer:
(D)15th Street and 14th Avenue
Step-by-step explanation:
Ping's Location: (3rd Street, 6th Avenue)
Ari's Location: (21st Street, 18th Avenue)
The gym is at point P which is \(\dfrac{2}{3}\) the distance from Ping's home to Ari's home.
That is, Point P divides the line segment in the ratio 2:1.
We use the section formula:
\((x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)\)
m:n=2:1, \((x_1,y_1)=(3,6), (x_2,y_2)=(21,18)\)
\(=\left(\dfrac{2*21+1*2}{2+1}, \dfrac{2*18+1*6}{2+1}\right)\\=\left(\dfrac{45}{3}, \dfrac{42}{3}\right)\\=(15,14)\)
The gym is located at 15th Street and 14th Avenue.
2. A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. If all the ice melted in the cup, would it overflow?
3.A family-sized box of cereal with dimensions 3x9x12 inches costs $6, while the regular size with dimensions 2 x 8 x 9 inches costs $4.50. What is the difference in price per cubic inch?
4. How does the volume of a cylinder with a radius of 6 inches and a height of 8 inches compare to the volume of a cylinder with radius of 8 inches and height of 6 inches?
Part(2),
The volume of the snowcone is larger than the volume of the paper cup, the snowcone will overflow when it melts.
Part(3),
The difference in price per cubic inch is $0.0128/in³.
Part(4),
The volume of the cylinder with a radius of 8 inches and a height of 6 inches.
Part(2)
The volume of a cone is given by the formula V = (1/3)πr²h,
where r is the radius and h is the height. The volume of the snowcone is therefore V = (1/3)π(4 cm)²(12 cm) = 201.06 cubic cm.
V = (1/3)π(3 cm)²(12 cm) = 113.1 cubic cm.
Since the volume of the snowcone is larger than the volume of the paper cup, the snowcone will overflow when it melts.
Part(3)
To compare the cost per cubic inch of the two sizes of cereal boxes, we need to calculate the volume of each box and divide the cost by the volume.
The volume of the family-sized box is V = 3 in x 9 in x 12 in = 324 cubic inches.
The cost per cubic inch is therefore $6/324 in³ = $0.0185/in³.
The volume of the regular-sized box is V = 2 in x 8 in x 9 in = 144 cubic inches. The cost per cubic inch is, therefore, $4.50/144 in³ = $0.0313/in³.
The difference in price per cubic inch is $0.0313/in³ - $0.0185/in³ = $0.0128/in³.
Part(3)
The volume of a cylinder is given by the formula V = πr²h, where r is the radius and h is the height.
For the cylinder with a radius of 6 inches and a height of 8 inches, the volume is V = π(6 in)²(8 in) = 904.78 cubic inches.
For the cylinder with a radius of 8 inches and a height of 6 inches, the volume is V = π(8 in)²(6 in) = 1206.37 cubic inches.
Therefore, the volume of the cylinder with a radius of 8 inches and a height of 6 inches.
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These shapes are similar.
Find X.
5
5
30
24
30
Answer: 4
Step-by-step explanation:
Can you please help with this graph
Answer:
A
Step-by-step explanation:
Please anyone that can help me
Answer:
\(|\frac{x}{y} |\)
Step-by-step explanation:
Pre-SolvingWe are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.
We want to simplify it.
To do that, we can first simplify what is under the radical, then take the square root of what is left.
Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.
SolvingTo simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).
So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .
Under the radical, we now have:
\(\sqrt{x^2y^{-2}}\)
Now, we take the square root of both exponents to get:
\(|xy^{-1}|\)
The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.
However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.
Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).
So, by using that,
\(|x * \frac{1}{y} |\)
This can be simplified to:
\(|\frac{x}{y} |\)
the length of a rectangle is 6 feet longer than its width the perimeter is less than 48 feet write a mathematical expression for the width of the rectangle
according to a recent pew research center report, many american adults have made money by selling something online. in a random sample of 4579 american adults, 914 reported that they earned money by selling something online in the previous year. assume the conditions for inference are met. construct a 98% confidence interval for the proportion of all american adults who would report having earned money by selling something online in the previous year.
As per the 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year is (0.1859,0.2133).
Confidence interval:
In statistics, confidence interval is an estimate of an interval in statistics that may contain a population parameter.
Given,
According to a recent pew research center report, many American adults have made money by selling something online. in a random sample of 4579 American adults, 914 reported that they earned money by selling something online in the previous year. assume the conditions for inference are met.
Here we need to construct a 98% confidence interval for the proportion of all American adults who would report having earned money by selling something online in the previous year.
As per the given question, the value of
Confidence interval = 98%
Number of samples = 4579
Reported numbers = 914
Therefore, the number of failure is calculated as,
=> 4579 - 914
=> 3665
Here the sample proportion is the number of successes divided by the sample size:
=> 941/4579
=> 0.1996
Here for confidence level 1 − α = 0.98,
We have to determine zα / 2 = z0.01 using the normal probability table in the appendix, we get
zα/2 = 2.33
Then the margin of error is calculated as,
E = 2.33 x √[0.1996 x (1 - 0.1996)]/4579
E = 0.0137
Then the boundaries of the confidence interval are then:
p⁻ˣ = 0.1996−0.0137 = 0.1859
p⁺ˣ = 0.1996+0.0137 = 0.2133
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A cube has a height of 7 cm. What is the volume of the cube?
Answer:
343
Step-by-step explanation:
if you have a cube, then the volume is one of the sides cubed, or to the third power. 7^3 can be represented as 7*7*7, or 7x7x7, which is 343.
Brainliest
Find the missing angle x. Round to the nearest whole number.
7
15
.ro
Not drawn to scale
humph im sad ask me why
Answer:
u ok? hang in there
Step-by-step explanation:
Its okay to feel sad, We all have those moments where we just want to find ourselves near the warm fireplace and find our peace and calming. Don't worry we are here for you!! ✨
PLEASE HELP
If Joey can run 24 miles in 6 hours, how many miles
can he run in 2 hours? SHOW YOUR WORK! (Hint:
Use equivalent ratios/fracción
Answer:
8 miles
Step-by-step explanation:
24 miles/6 hours = 4 miles per hour
4 miles per hour x 2 hours = 8 miles
Answer:
8 miles
Step-by-step explanation:
24/6 is your ratio. He runs 4 miles an hour, but we need 2 hours. 4x2=8 miles in 2 hours.