Answer:
Step-by-step explanation:
use integration
i need help with What are some benefits to private ownership? Select three answers.
Answer: Private ownership provides land or goods for all citizens to use. Private ownership can make it possible for a business to earn money. Private ownership might help a person move to another economic class. Private ownership allows a person to own goods that may increase in value.
Step-by-step explanation:
A football is kicked into the air. It's height in meters after t seconds is given by h= -4.9(t-2.4)^2+29.
a. What was the height of the football when it was kicked?
b. What was the maximum height of the ball? At what time was the maximum height reached?
c. How high was the ball after 2 seconds?
d. Was the ball still in the air after 5 seconds?
The height of the football when it was kicked is 0.776 meter.
The maximum height of the ball is 29 meters, at a time of 2.4 seconds.
The height of the football after 2 seconds is 28.87 meter.
No, the ball was not in the air after 5 seconds.
What is the vertex form of a quadratic equation?In Mathematics and Geometry, the vertex form of a quadratic equation is modeled by this formula:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.The football was kicked when t = 0, so the height is given by;
h(0) = -4.9(0 - 2.4)² + 29
h(0) = 0.776 meter.
For the maximum height of the ball, we have:
Vertex (h, k) = (2.4, 29).
Maximum height, k = 29 meters.
After 2 seconds, the height of the ball is given by;
h(2) = -4.9(2 - 2.4)² + 29
h(2) = 28.87 meter.
After 5 seconds, the height of the ball is given by;
h(5) = -4.9(5 - 2.4)² + 29
h(5) = -4.124 meter.
In conclusion, the ball would not be in the air after 5 seconds because because it would land after 4.124 seconds.
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Estimate the measure of this angle within 15°.
Answer:
Step-by-step explanation:
Find the surface area of this shape
The total surface area of the square based prism using the net is 119 square meters
Calculating the total surface area using the net.From the question, we have the following parameters that can be used in our computation:
The net of a square based prism
The surface area of the square based prism from the net is calculated as
Surface area = sum of areas of individual shapes that make up the net of the triangular prism
Using the above as a guide, we have the following:
Area = Square + 4 * triangle
So, we have
Area = 7 * 7 + 4 * 1/2 * 5 * 7
Evaluate
Area = 119
Hence, the surface area is 119 square meters
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how many squares make up the surface area of a cube
A cereal box has dimensions of 12 inches , 7 3/4 inches, and 2 inches. A pastry box has dimensions of 3 2/3 inches, 3 1/2 inches , and 2 1/3 inches. What is the difference in volume , in cubic inches , between the two boxes?
Answer:
156.06 inches cubed
Step-by-step explanation:
Volume of a rectangular prism: [tex]l*w*h[/tex]
Cereal Box:
Simply multiply the dimensions:
[tex]7.75*2*12=186in^3[/tex]
Pastry Box:
Simply multiply the dimensions:
[tex]3\frac{2}{3} *2\frac{1}{3}*3.5=29.94[/tex]
Difference between the volumes:
[tex]186-29.94=156.06in^3[/tex]
Need help now please.
A construction worker on the ground tosses an apple to a fellow worker who is 20. ft. above
the ground. The starting height of the apple is 5 ft. Its initial upward velocity is 32 ft/s. At
what time(s) will the apple be at the same height as the worker? (h=-161² + vt +c, where h
is the height, v is the initial velocity and c is the starting height.)
The apple will be at the same height as the worker at 0.75 seconds and 1.25 seconds
At what time will the apple be at the same height as the worker?Given that
The starting height of the apple is 5 ft. Its initial upward velocity is 32 ft/s.So, the function is
h = -16t² + 32t +5
The worker's height is 20
So, we have
h = 20
This gives
-16t² + 32t +5 = 20
Evaluate the like terms
-16t² + 32t - 15 = 0
When solved on a graph, we have
t = 0.75 and 1.25
Hence, the times are 0.75 seconds and 1.25 seconds
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how many numbers consisting of 1,2, or 3 digits(without repitions)can be formed using the digits 1,2,3,4,5,6?
Therefore, there are 156 numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.
We need to find the number of numbers consisting of 1, 2, or 3 digits that can be formed using the digits 1, 2, 3, 4, 5, 6 without repetitions.
1-digit numbers: There are 6 choices for the first digit.
2-digit numbers: There are 6 choices for the first digit, and 5 choices for the second digit (since we cannot repeat the first digit).
3-digit numbers: There are 6 choices for the first digit, 5 choices for the second digit (since we cannot repeat the first digit), and 4 choices for the third digit (since we cannot repeat the first or second digit).
Therefore, the total number of numbers that can be formed is:
1-digit numbers: 6
2-digit numbers: 6 x 5 = 30
3-digit numbers: 6 x 5 x 4 = 120
The total number of numbers is the sum of these:
6 + 30 + 120 = 156
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The standard error of the mean for a sample of size 153 is 25. in order to cut the standard error of the mean in half (to 12.5) we must select a sample size of?
In order to cut the standard error of the mean in half (to 12.5), you must select a sample size of 612.
To find the new sample size required to cut the standard error of the mean in half, you can use the following formula:
New Standard Error = (Old Standard Error) / √(New Sample Size / Old Sample Size)
We know the old standard error (25) and want to find the new standard error (12.5). So, we can rewrite the formula as:
12.5 = 25 / √(New Sample Size / 153)
First, divide both sides of the equation by 25:
0.5 = 1 / √(New Sample Size / 153)
Next, square both sides of the equation:
0.25 = 1 / (New Sample Size / 153)
Now, take the reciprocal of both sides:
4 = New Sample Size / 153
Finally, multiply both sides by 153 to find the new sample size:
New Sample Size = 4 * 153
New Sample Size = 612
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Find the surface area of a hexagonal pyramid with a apothem of 3 square root of 2 and height of 3
The surface area of the hexagonal pyramid is 54√3 + 18√6 square units.
The base of the pyramid is a regular hexagon, so we can use the formula for the area of a regular hexagon:
Area of hexagon = (3√3/2)a^2, where a is the length of one side of the hexagon
Since the apothem of the hexagon is 3√2, we can use the relationship between the apothem and the side length:
apothem = (1/2)√3a
Solving for a,
a = 2√6
Substitute the value of a = 2√6 into the formula,
Area of hexagon = (3√3/2)(2√6)^2
= 54√3
Each face is a triangle with a base equal to one side of the hexagon and a height equal to the height of the pyramid, which is given as 3.
Using the formula for the area of a triangle,
Area of one face = (1/2)bh
= (1/2)(2√6)(3)
= 3√6
There are six identical faces, so the total area of the lateral faces is:
Total lateral area = 6(3√6)
= 18√6
Finally, we add the area of the base and the lateral faces to get the total surface area of the pyramid:
= 54√3 + 18√6
Therefore, the surface area of the hexagonal pyramid is 54√3 + 18√6 square units.
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consider a modified sat problem, sat’ in which given a cnf formula having m clauses and n variables x1, x2, . . . , xn, the output is yes if there is an assignment to the variables such that exactly m − 2 clauses are satisfied, and no otherwise. prove that sat’ is np-complete.
Since 3-SAT is NP-complete and we have a polynomial-time reduction from 3-SAT to SAT', it follows that SAT' is NP-hard. Thus, SAT' is NP-complete, as required.
To prove that SAT' is NP-complete, we need to show that it is in NP and that it is NP-hard.
First, we show that SAT' is in NP. Given a CNF formula, we can verify in polynomial time whether a proposed assignment to the variables satisfies exactly m-2 clauses. Specifically, we can evaluate each clause in the formula under the proposed assignment, count the number of clauses that are satisfied, and compare it to m-2. If the count is exactly m-2, then the assignment satisfies exactly m-2 clauses, and we can verify this in polynomial time. Therefore, SAT' is in NP.
Next, we show that SAT' is NP-hard. We do this by reducing an NP-complete problem to SAT'. We choose 3-SAT, which is known to be NP-complete.
Given an instance of 3-SAT with m clauses and n variables, we construct an instance of SAT' as follows. We add two new variables, y and z, and construct the following CNF formula:
(a1 ∨ b1 ∨ y) ∧ (a2 ∨ b2 ∨ ¬y) ∧ (a3 ∨ b3 ∨ ¬z) ∧ (a4 ∨ b4 ∨ z) ∧ C1 ∧ C2 ∧ ... ∧ Cm,
where C1, C2, ..., Cm are the m clauses of the 3-SAT instance, and each clause in the 3-SAT instance has exactly three literals.
We claim that this construction is a polynomial-time reduction from 3-SAT to SAT'. First, note that the CNF formula has n+2 variables and m+4 clauses, which can be constructed in polynomial time. Second, note that any assignment that satisfies exactly m-2 clauses in the CNF formula must assign y to true and z to false. This is because the first two clauses require y to be true and false, respectively, and the last two clauses require z to be false and true, respectively. Thus, the assignment to the original n variables satisfies exactly m-2 clauses in the 3-SAT instance. Conversely, any assignment to the original n variables that satisfies exactly m-2 clauses in the 3-SAT instance can be extended to an assignment that satisfies exactly m-2 clauses in the CNF formula by setting y to true and z to false. Therefore, there is a 1-1 correspondence between solutions to the 3-SAT instance and solutions to the SAT' instance.
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Use the graph to answer the question.
The graph shows the number of meals served each day at two different restaurants.
Meals Served in January
Restaurant A
Restaurant B
30 32 34 36 38 40 42
Restaurant
Based on this data, which restaurant is more likely to serve the greater number of meals on a given day?
Move a letter to the box and a word to the blank to answer the question.
46 48 50 52 54 56 58 60
Number of Meals Served
is more likely to serve a greater number of meals because it has the greater
median
A
range
62 64
interquartile range
Answer: median of a: 40
b: 54
Restaurant B is more likely to serve a grater number of meals it it has the grater median
[use median to compare two lets]
Step-by-step explanation:
Michael thought he could only run five laps around the track but he was actually able to run eight laps what was his percent error
Answer:
Rounded percent error = 38% So, Michael's percent error was 38%.
Step-by-step explanation:
Rounded percent error = 38% So, Michael's percent error was 38%.
Please help me with this homework
Answer:
A = 3 cm^2
Step-by-step explanation:
To find the area of a triangle, we use the formula
A = 1/2 bh where b is the base and h is the height
A = 1/2 ( 3) (2)
A = 3 cm^2
A stationery shop sells packs of pen. 3 pens cost 45p. 10 pens cost £1. 20. The shopkeeper wants yo sell the pens so each pen costs the same, but only want to change one price. What are his two options?
The merchant has two choices: either sell each pen for 15p (by charging 45p for a pack of three), or sell each pen for 10p (by pricing £1 for a box of ten).
Make the set of three pens cost 50p instead of 45p, making each pen 16.67p. The second choice is to make the pack of 10 pens, which is now priced at £1.20, only cost £1, making each pen 10p. Only one pricing needs to be altered in both scenarios.
The cost of a pack of three pens would be 50p, and each pen would cost 16.67p, if the shopkeeper chooses the first course of action. The cost of the second option would be £1 for a pack of ten pens and 10p for each pen. The shopkeeper can potentially enhance sales by making it simpler for customers to make purchasing decisions by asking the same amount for each pen.
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Plot the point (-10,2π), given in polar coordinates, and find other polar coordinates (r,θ) of this same point for which the following are true.
(a) For the same point on the graph, find new values of (r,θ) for which r>0, -2π≤θ<0
(Type an ordered pair. Type an exact answer, using π as needed.)
The polar coordinates of this same point is (-8, -2π).
The point (-10, 2π) can be plotted on a graph with polar coordinates by beginning at the origin (0,0) and moving -10 units along the θ axis and then 2π units along the r axis.
To find other polar coordinates (r, θ) of this same point for which r > 0 and -2π ≤ θ < 0, we can move the point along the θ axis and then along the r axis in the opposite direction. This will result in a new point (r, θ) where r > 0 and -2π ≤ θ < 0.
For example, we can move the point along the θ axis to (-10, -2π), and then move it along the r axis to (-8, -2π).
This would result in the new point (r = -8, θ = -2π), which satisfies the given conditions.
Therefore, the polar coordinates of this same point is (-8, -2π).
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What is the equation of the blue line
Answer:
y = 3x + 1
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
Slope = rise/run or (y2 - y1) / (x2 - x1)
Pick points (0,1) (1,4)
We see the y increase by 3 and the x increase by 1, so the slope is
m = 3
Y-intercept is located at (0,1)
So, the equation of the line is y = 3x + 1
Can someone help me please?
Answer:
Step-by-step explanation:
first: 6(2+7)+2 = 6*2+7*6+2 = 12 + 42 + 2 = 56
second: 56/7 = 8
A right triangle has side lengths of 8 inches and 6 inches. What is the length of the hypotenuse, in inches?
The length of the hypotenuse is 10 inches.
What is a right triangle?
A given triangle is said to be a right triangle if the measure of only one of its internal angles is equal to 90^o. So that the sum of the internal angles of the triangle is 180^o.
Applying the Pythagorean theorem to the given right triangle, we have;
/Hyp/^2 = /Adj/^2 + /Opp/^2
= 8^2 + 6^2
= 64 + 36
= 100
Hyp = (100)^1/2
= 10
Therefore, the length of the hypotenuse of the right triangle is 10 inches.
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A website is selling balance beams for $84, but mentions that they originally cost $112. What
is the discount percentage?
Write your answer using a percent sign (96)
Answer:
25%
Step-by-step explanation:
$112 × X =$84
X= 84/112
X=0.75
Converting to a percent is to multiply by 100
75%
$112-$84 = $28
25%
Answer: 25%
Step-by-step explanation: $112 × X =$84 X= 84/112 X=0.75 Converting to a percent is to multiply by 100 75% $112-$84 = $28 25%
can i please have brainliest i need it
What is -2/9 expressed as a decimal number?
Answer:
Step-by-step explanation:
-.222 repeated
PLEASE HELPPPPPPPPPPP MEEEEEEE
The following are the measures of angles and sides using the sine and cosine rules:
1). QR = 15, m∠P = 52°, m∠Q = 43°
2). BC = 21, DC = 10.4, m∠C = 22°
3). VX = 10.7, WX = 10.2, m∠V = 39°
4). HF = 18.4, m∠H = 28.7, m∠F = 15.3
What is the sine and cosine rulesThe sine rule is a relationship between the size of an angle in a triangle and the opposing side. While the cosine rule relates the lengths of the sides of a triangle to the cosine of one of its angles.
1). Using the sine rule:
19/sin85 = 13/sunQ
Q = sin⁻¹[(13 × sin85)/19] {cross multiplication}
Q = 43
m∠P = 180° - (85 + 43) = 52°
QR = sin⁻¹[(19 × sin52)/sin85]
QR = 15.
2). m∠C = 180 + (19 + 139) = 22°
Using the sine rule:
BC = (12 × sin139)/sin22
BC = 21.
DC = (12 × sin19)/sin22
DC = 10.4
3). m∠V = 180 - (41 + 100) = 39°
Using the sine rule:
VX = (16 × sin41)/sin100
VX = 10.7
WX = (16 × sin39)/sin100
WX = 10.2
4). Using the cosine rule:
HF² = 7² + 13² - 2(7)(13)cos136°
HF = √338.8491
HF = 18.4
applying sine rule;
F = sin⁻¹[(7 × sin136)/18.4]
F = 15.3
m∠H = 180 - (15.3 + 136) = 28.7
Therefore, the measures of angles and sides using the sine and cosine rules are:
1). QR = 15, m∠P = 52°, m∠Q = 43°
2). BC = 21, DC = 10.4, m∠C = 22°
3). VX = 10.7, WX = 10.2, m∠V = 39°
4). HF = 18.4, m∠H = 28.7, m∠F = 15.3
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Which expression is equivalent to -3(2x - 8) + 4x?
A
B
C
D
-2x-8
-2x + 24
-10x8
-10x + 24
We distribute -3 to 2x and -8, and then we calculate the two multiplications.
We calculate -6x + 4x = -x(6 - 4) = -2x
[tex] \bf - 3(2x - 8) + 4x = \\ \\ \bf = - 3 \cdot 2x - 3 \cdot ( - 8) + 4x = \\ \\ \bf = - 6x + 24 + 4x = \\ \\ \bf = - 6x + 4x + 24 = \\ \\ \bf = - 2x + 24[/tex]
The answer is B -2x + 24
Hope that helps! Have a nice day! :)
Using the graph, determine the coordinates of the vertex of the parabola.
Answer:
(-5,1)
Step-by-step explanation:
The vertex of a parabola is either the top most point or the bottom most, depending on which parabola is being talked about.
Step-by-step explanation:
look in thr comments and have a great day
Please answer
P(A) = 0.04 and P(A ∩ B) = 0.028. A and B are independent events. Find P(B).
The probability of the independent events are solved and P ( B ) = 0.7
Given data ,
Let the probability of the independent events be
P ( A ) = 0.04
P ( A ∩ B ) = 0.028
Now , If events A and B are independent, then we know that:
P(A ∩ B) = P(A) × P(B)
We are given that P(A) = 0.04 and P(A ∩ B) = 0.028
P(A ∩ B) = P(A) × P(B)
0.028 = 0.04 × P(B)
P(B) = 0.028 / 0.04
P(B) = 0.7
Hence , the probability of event B, P(B), is 0.7
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what is the relationship between student's t distribution and the standard normal distribution? student's t will approach to standard normal distribution as the sample size approachs 0 student's t will approach to standard normal distribution as the sample size approachs infinite standard normal distribution will approach to student's t distribution as the sample size approachs 0 standard normal distribution will approach to student's t distribution as the sample size approachs infinite
The correct relationship between Student's t-distribution and the standard normal distribution is option B: as the sample size approaches infinity, the Student's t-distribution approaches the standard normal distribution.
The sample mean's estimation of the population mean is less precise and the sample mean's distribution is more erratic when the sample size is small. Because the distribution of t-values is more skewed as a result, the student's t-distribution has thicker tails than the traditional normal distribution.
The sample mean's distribution, however, narrows as sample size increases, making it a more precise reflection of the population mean. The student's t-distribution resembles the traditional normal distribution as a result of the narrowing of the t-value distribution.
For the ordinary normal distribution to accurately approximate the student's t-distribution in practice, a sample size of 30 or more is frequently thought to be sufficient.
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Correct question:
what is the relationship between student's t distribution and the standard normal distribution?
student's t will approach to standard normal distribution as the sample size approachs 0.
student's t will approach to standard normal distribution as the sample size approachs infinite
standard normal distribution will approach to student's t distribution as the sample size approachs 0
standard normal distribution will approach to student's t distribution as the sample size approachs infinite.
Find the area of a triangle with a height of 11 inches and a base of 23 inches
Answer:
Area of a triangle = 126.5 cm²
Step-by-step explanation:
Area of a triangle = (base * height) / 2
Area of a triangle = (23 in * 11 in) / 2
Area of a triangle = 253 in² / 2
Area of a triangle = 126.5 in²
The class president lost the lunch receipt. She knows that 21 students ate lunch and the total cost was $117.27. Each student ordered either a $4.99 sandwich meal or a $5.95 pizza meal. The sandwich meal included one sandwich, one'small order of fries, and one medium drink. The pizza meal included two slices of pizza and one medium drink How many of each meal were ordered?
According to the given conditions, there were 8 sandwich meals and 13 pizza meals ordered.
What are equations?Solving equations involves finding the values of the variables that make the equation true. This is often done by manipulating the equation using algebraic operations and rules until the variable being solved for is isolated on one side of the equation.
According to the given information:Let's represent the number of sandwich meals ordered by 'x' and the number of pizza meals ordered by 'y'.
From the problem statement, we know that:
x + y = 21 (since there were 21 students who ate lunch)
4.99x + 5.95y = 117.27 (since the total cost of all the meals was $117.27)
We can use the first equation to solve for one variable in terms of the other. Solving for 'x', we get:
x = 21 - y
Substituting this into the second equation, we get:
4.99(21-y) + 5.95y = 117.27
104.79 - 4.99y + 5.95y = 117.27
0.96y = 12.48
y = 13
So, 13 pizza meals were ordered. Substituting this back into the first equation, we get:
x + 13 = 21
x = 8
8 sandwich meals were ordered.
Therefore, according to the given conditions there were 8 sandwich meals and 13 pizza meals ordered.
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Celia's house is located at point A on the image shown.
Celia drives 6 miles along a straight road to reach her friend's house at point B. Later, she makes a right turn and drives 8 miles to reach a store located at point C. Rhonda starts from Celia's house at point A and reaches the same store at point C driving along a straight road. How much more did Celia drive than Rhonda?
A. 10 miles
B. 14 miles
C. 4 miles
D. 2 miles
The number of miles Celia drove than Rhonda is 4 miles. The correct option is C. 4 miles
Pythagorean theorem: Calculating how much more Celia drove than RhondaFrom the question, we are to determine how much more Celia drove that Rhonda.
From the given information,
The total distance covered by Celia is
6 miles + 8 miles
= 14 miles
In the given diagram, we have right triangle
We can calculate the distance Rhonda covered using the Pythagorean theorem.
Let the distance Rhonda covered be R
Then,
R² = 6² + 8²
R² = 36 + 64
R² = 100
R = √100
R = 10 miles
Thus,
The distance Rhonda covered is 10 miles
Now,
The number of miles Celia drove more than Rhonda is
14 miles - 10 miles
= 4 miles
Hence, Celia drove 4 miles more than Rhonda
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Help me! Match the angle inscribed in a circle to the measure of its intercepted arc.
(Best answer gets brainliest)
Angle ∠B = 35 degrees then Intercepted arc AC is 70 degrees
∠B = 31 degrees then Intercepted arc AC is 62 degrees
∠B = 28 degrees then Intercepted arc AC is 56 degrees
∠B = 17 degrees then Intercepted arc AC is 34 degrees
∠B = 42 degrees then Intercepted arc AC is 84 degrees
Using the inscribed angle theorem, we have
∠B=1/2AC
When ∠B is 35 degrees
Intercepted arc AC = 2×35 =70 degrees
When ∠B is 31 degrees
Intercepted arc AC = 2×31 =62 degrees
When ∠B is 28 degrees
Intercepted arc AC = 2×28 =56 degrees
When ∠B is 17 degrees
Intercepted arc AC = 2×17 =34 degrees
When ∠B is 42 degrees
Intercepted arc AC = 2×42 =84 degrees
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