A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the picture. The
diameter of the circular area of grass is 16 ft.
Which measurement is closest to the area in square feet that this sprinkler sprays with water?
F 100.48 ft²
G 50.24 ft²
H 200.96 ft²
J803.84 ft2
Answers
Answer:
H
Step-by-step explanation:
a = \(\pi r^{2}\) If the diameter is 16, then the radius is 8
a = \(\pi 8^{2}\)
a = 3.14(64) Use 3.14 for \(\pi\)
a = 200.96
Helping in the name of Jesus.
Related Questions
Please help me with this equation
Answers
Answer:21.46 is her profit
Step-by-step explanation:
Solve the quadratic equation using factoring methods.
X^2 - 7x + 6 = 0
Answers
Set each bracket equal to zero
X-6=0
X=6
X-1= 0
X=1
Answer:
x= 6
x= 1
Step-by-step explanation:
First we must factor the equation by finding two numbers which when multiplied equal 6, and when added equal -7
-6 * -1 = 6 and -6 - 1 = 7, so our numbers are -6 and -1.
We will then write this factored form as (x - 6)(x - 1)=0
Because of the zero product property (anything multiplied by zero will equal zero), we know that either x - 6 equals zero, or x - 1 equals zero.
This means there will be two solutions.
First, we will do x - 6 = 0. We can simply move the 6 to the other side by adding 6 to both sides. This gets x = 6.
Then, we will do x - 1 = 0. By adding 1 to both sides, we will get x = 1
So finally, we know that x = 6 and x = 1
Find the matrix representation of the linear map L:R3⟶R3 which sends the basis β={[1,1,1]T,[1,1,0]T,[1,0,0]T} to the standard basis of R3, respectively, in standard basis for both domain and range.
Answers
To find the matrix representation of the linear map L: R3 ⟶ R3, we need to determine how the basis β of the domain R3 maps to the standard basis of R3.
First, let's write the standard basis for R3 as
{[1,0,0]T, [0,1,0]T, [0,0,1]T}.
To find the matrix representation, we will determine how each basis vector in β maps to the standard basis vectors.
For the first basis vector
[1,1,1]T in β,
we need to find its representation in the standard basis. To do this, we write [1,1,1]T as a linear combination of the standard basis vectors:
[1,1,1]T = a1[1,0,0]T + a2[0,1,0]T + a3[0,0,1]T.
Solving this system of equations, we get
a1 = 1, a2 = 1, and a3 = 1.
Therefore,
[1,1,1]T
can be represented as
[1,0,0]T + [0,1,0]T + [0,0,1]T
in the standard basis.
Similarly, for the second basis vector
[1,1,0]T in β, we have [1,1,0]T = [1,0,0]T + [0,1,0]T.
And for the third basis vector
[1,0,0]T in β, we have [1,0,0]T = [1,0,0]T.
Now, we can construct the matrix representation of L. Each column in the matrix corresponds to the representation of the respective basis vector in the standard basis.
Therefore, the matrix representation of L is:
[1 1 1]
[1 1 0]
[1 0 0]
This matrix represents the linear map L: R3 ⟶ R3 that sends the basis β to the standard basis.
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Which expression is equivalent to the given expression?
2x^2-11x-6
Answers
Answer:
B
Step-by-step explanation:
using the diamond factoring method:
2x^2-12x+x-6
2x(x-6) + (x-6)
(2x+1)(x-6)
B
when taking samples or subgroups from a process, do you want assignable causes occurring within the subgroups or between them? fully explain your answer.
Answers
When taking samples or subgroups from a process, we want assignable causes occurring between the subgroups.
This is because assignable causes that occur between the subgroups indicate that there is a difference between the subgroups that can be identified and potentially corrected.
If assignable causes occur within the subgroups, it is more difficult to identify the source of the variation and take corrective action. By having assignable causes occur between the subgroups, we can more easily identify the source of the variation and take corrective action to improve the process.
In summary, when taking samples or subgroups from a process, it is preferable for assignable causes to occur between the subgroups so that the source of the variation can be identified and corrective action can be taken.
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what is the reference angle for the given angle measure drawn in standard position? drag an angle measure into each box to match the angle measure and the reference angle.
Answers
The reference angle of 17π/3 is π/3.
The reference angle of -7π/12 is 5π/12.
The reference angle of -31π/6 is π/6.
What is a reference angle?The acute angle formed by the terminal arm or side and the x-axis is known as the reference angle. There is always a positive reference angle. The reference angle is, in other words, the angle formed by the terminal side and the x-axis. It must always be positive and less than 90 degrees.
Given that first angle is 17π/3
= 15π/3 + 2π/3
= 5π + 2π/3
The reference angle of 17π/3 is
π - 2π/3
= (3π - 2π)/3
= π/3
The second angle is -7π/12
The reference angle of -7π/12 is
= π - 7π/12
= (12π - 7π)/12
= 5π/12
The third angle is -31π/6
= -30π/6 - π/6
= -5π -π/3
The reference angle of -31π/6 is
= π/6
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This question is incomplete, the complete question is in attached image.
defined-benefit pension plan for its employees. On January 1, 2021, the following balances related to this plan. Prepare the journal entry for pension expense. (Credit account titles are automatically indented when amount is entered. Do not indent manually.)
Answers
The journal entry for pension expense is recorded to reflect the cost of providing defined-benefit pension benefits to employees. This entry recognizes the expense and the corresponding increase in the pension liability.
To prepare the journal entry for pension expense, we need to consider the relevant balances related to the defined-benefit pension plan. The pension expense is typically calculated based on actuarial assumptions, such as the expected return on plan assets, discount rate, and projected benefit obligations.
The journal entry for pension expense includes debits and credits to various accounts. The debit side usually includes the pension expense account, which represents the cost incurred by the company for providing pension benefits to its employees. This expense is recognized in the income statement.
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If they gave you $440 in quarters. how many coins would you receive?
Answers
Answer:
$110
Step-by-step explanation:
quarter is 1/4 of a thing
so $440 ÷ 4 = 110
hence we can conclude that if you get $440 in quarters you will get $110 each time
Hope it helps!!!
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divide 440 by 25 and you think you’d get the answer but no. proof: i counted
Sketch the region whose area is given by the integral and evaluate the integral---
/int from pi/4 to 3pi/4 /int from 1 to 2 r dr d(theta)
Answers
The integral /int from pi/4 to 3pi/4 /int from 1 to 2 r dr d(theta) represents the double integral of a region in polar coordinates.
The region can be visualized as a sector of a circle in the polar plane, bounded by the angles pi/4 and 3pi/4, and by the radii 1 and 2. The first integral /int from 1 to 2 r dr integrates over the radial direction, while the second integral /int from pi/4 to 3pi/4 d(theta) integrates over the angular direction.
To evaluate the integral, we integrate the radial part first. Integrating r with respect to r yields (1/2)r^2. Plugging in the limits of integration, we get [(1/2)(2)^2] - [(1/2)(1)^2] = 2 - 1/2 = 3/2.
Next, we integrate the angular part. Integrating d(theta) with respect to theta gives theta. Evaluating the limits of integration, we have (3pi/4) - (pi/4) = pi/2.
Finally, multiplying the results of the radial and angular integrals, we have the value of the double integral as (3/2) * (pi/2) = 3pi/4. Thus, the integral evaluates to 3pi/4.
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Holding everything else constant, a 95% confidence interval will always be larger than a 90% confidence interval.
True
False
Answers
The answer is true that a 95% confidence interval will always be larger than a 90% confidence interval, all else being equal
Holding everything else constant, a 95% confidence interval will be larger than a 90% confidence interval. This is because a higher confidence level requires a wider interval to account for a larger range of possible values of the population parameter.
To clarify, a confidence interval is a range of values that is likely to contain the true value of a population parameter with a certain level of confidence. For example, a 95% confidence interval means that if the same sample were taken many times and a confidence interval calculated for each sample, then about 95% of those intervals would contain the true population parameter.
To achieve a higher level of confidence, a wider range of values needs to be considered, which results in a larger confidence interval.
So, a 95% confidence interval will always be larger than a 90% confidence interval, all else being equal.
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The circumference of a circular garden is 113.04 feet. What is the radius of the garden? Use 3.14 for pie and do not round your answer.
Answers
Answer:
18 ft
Step-by-step explanation:
The circumference of a circle is given by
C = 2 * pi *r
113.04 = 2 ( 3.14) * r
113.04 = 6.28 r
Divide each side by 6.28
113.04/6.28 = 6.28r/6.28
18 =r
Consider the points below. P(θ),−4,0),Q(5,1,−2),R(6,4,1) (a) Find a nonzero vector orthogonal to the plane through the points P,Q, and R. (b) Find the area of the triangle PQR.
Answers
(a) A nonzero vector orthogonal to the plane through the points P, Q, and R is (9, -17, 35). (b) The area of triangle PQR is \(\sqrt\)(811) / 2.
(a) To determine a nonzero vector orthogonal to the plane through the points P, Q, and R, we can first find two vectors in the plane and then take their cross product. Taking vectors PQ and PR, we have:
PQ = Q - P = (5, 1, -2) - (-4, 0, 0) = (9, 1, -2)
PR = R - P = (6, 4, 1) - (-4, 0, 0) = (10, 4, 1)
Taking the cross product of PQ and PR, we have:
n = PQ x PR = (9, 1, -2) x (10, 4, 1)
Evaluating the cross product gives n = (9, -17, 35). Therefore, (9, -17, 35) is a nonzero vector orthogonal to the plane through points P, Q, and R.
(b) To determine the area of triangle PQR, we can use the magnitude of the cross product of vectors PQ and PR divided by 2. The magnitude of the cross product is given by:
|n| = \(\sqrt\)((9)^2 + (-17)^2 + (35)^2)
Evaluating the magnitude gives |n| = \(\sqrt\)(811).
The area of triangle PQR is then:
Area = |n| / 2 = \(\sqrt\)(811) / 2.
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I need help with this!!!
Answers
Answer:
1. quarant 2
2. quadrant 1
3. quadrant 2
4. quadrant 4
5. quadrant 4
6. quadrant 2
7.quadrant 2
8. quadrant 3
Step-by-step explanation:
Yoshie is an athlete who runs each day as a part of her training routine. On one day, she began at the athletic center and ran at a constant rate of 6 miles per hour. She ran along a straight path for 25 minutes before reaching the finish line. Create a model that can be used to determine Yoshie’s distance from the finish line at any minute after she began her run. Use your model to determine her distance from the finish line at 6 minutes after she began her run.
Answers
The distance travelled from finish line at 6 minutes after Yoshie began her run is 0.6 miles.
Given that Yoshie runs at a constant rate of 6 miles per hour, which can be converted into 0.1 miles per minute as there are 60 minutes in a hour.
The formula to find distance, when speed and time is given is
distance = speed × time.
Yoshie ran for 25 minutes before reaching the finish line, her distance from the finish line when her speed is 0.1 per minute is calculated by using above formula.
distance = speed × time = 0.1 × 25 = 2.5 miles.
Thus, Yoshie's distance from teh finish line at 25 minutes is 2.5 miles.
Her distance from the finish line at 6 minutes after she began and her speed is 0.1 per minute is calculated by using above formula.
distance = speed × time = 0.1 × 6 = 0.6 miles.
Hence, the distance travelled from finish line at 6 minutes after Yoshie began her run is 0.6 miles.
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HELP ME PLEASE. I dont get this
Answers
The value of x for the given angles is 23
What is transversal?A transversal is a line that, at two different locations in the geometry, cuts through two lines in the same plane. The angles that result from a transversal crossing of two lines in pairs can be successive internal angles, matching angles, or alternate angles.
Given lines m and n, where m ║ n
and t intersect at both the lines as shown in the figure,
so line t works s transversal,
and angles,
(8x - 27)° and (7x - 4)°
both the angles are at the bottom of the line and same side so they are corresponding angles,
and corresponding angles for any transversal are equal,
(8x - 27)° = (7x - 4)°
8x - 27 = 7x - 4
8x - 7x = -4 + 27
x = 23
Hence the value of x is 23.
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as x approaches infinity, for which function does f(x) approach negative infinity? select all that apply.
Answers
Both \(f(x) = -x^2\) and \(f(x) = -2x^3 + 5x^2 - 3x + 7\) approach negative infinity as x approaches infinity.
As x approaches infinity, the dominant term of the function determines its behavior. In the case of \(f(x) = -x^2\), the term \(x^2\) becomes infinitely large and negative, causing the entire function to approach negative infinity. Similarly, in the case of \(f(x) = -2x^3 + 5x^2 - 3x + 7\), the term \(-2x^3\) dominates and becomes infinitely negative as x approaches infinity, causing the entire function to approach negative infinity. This is because the negative exponent on \(x^3\) causes the value of the term to become increasingly negative as x increases without bound.
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Jeff wants to upgrade the entertainment center. The price of a television was reduced from $2, 500 to $2,000. By what percentage was the price of the television reduced?
Answers
What is the GCF of 4 and 10
Answers
Step-by-step explanation:
The greatest common factor (GCF) of 4 and 10 is 2.
To find the GCF of two numbers, you need to identify the factors that the numbers have in common and then find the greatest of those factors.
The factors of 4 are 1, 2, and 4.
The factors of 10 are 1, 2, 5, and 10.
The only factor that 4 and 10 have in common is 2. Therefore, 2 is the greatest common factor of 4 and 10.
Let θ^θ^ and θ~θ~ be two alternative unbiased estimators for the unknown parameter θθ. θ^θ^ is said to be (the most) efficient only if
a.E(θ^)=0E(θ^)=0.
b.var(θ^)
c.E(θ^)=θE(θ^)=θ.
d.var(θ^)var(θ^) is the minimum within the group of all linear unbiased estimators for θθ.
Answers
θ^ is said to be (the most) efficient only if var(θ^) is the minimum within the group of all linear unbiased estimators for θθ. Therefore, the option d.
Given that θ^ and θ~ be two alternative unbiased estimators for the unknown parameter θθ. var(θ^) is the minimum within the group of all linear unbiased estimators for θθ. The efficiency of an estimator is measured by its variance. An efficient estimator is an estimator that attains the lowest possible variance. This is obtained by the Cramér-Rao lower bound, which states that the variance of an estimator is bounded by the reciprocal of the Fisher information. In other words, the more information in the data, the more efficient the estimator is. Moreover, in the case of unbiased estimators, the one with the smallest variance is said to be the most efficient. Furthermore, an estimator is considered the most efficient if and only if its variance is equal to the Cramér-Rao lower bound.To know more about linear unbiased estimators, visit:
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h(n) = 3^n+3; Find h (3n)
Answers
Answer:
The option which you chose is absolutely right.
Step-by-step explanation:
h(n) = 3^ n + 3
h(3n) = 3 ^3n + 3
Hope it will help :)
A hat contains four balls. The balls are numbered 2, 4, 4, and 5. One ball is randomly selected and not replaced, and then a second ball is selected. The numbers on the two balls are added together.A fair decision is to be made about which of three sizes of ice cream cone will be ordered, using the sum of the numbers on the balls. The sizes are small, medium and large.Which description accurately explains how a fair decision can be made in this situation
Answers
The description that accurately explains how a fair decision can be made in this situation is : IF a ball with number 4 and 5 are picked you order the largest size, if a ball with number 4 and another with number 4 is picked you order the medium size, but if the balls picked are that of number 2 and 4, then you order a small size. The probability of each result occurring is a fair one.
Meaning of probability and full workingProbability is the degree of occurrence of an event. it can also be said to be the chance for an event to occur.
Probability helps us know the chance an event has to occur. The closer it gets to zero(0) the less chance it has to occur. The closer it gets to one(1) the more chance it has to occur.
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I need help finding the area of the trapezoid it ends at 8:00 tonight please!
Answers
Answer:
A = (1/2)(7.7 + 2.3)(6) = (1/2)(10)(6) = 30 in.^2
Answer:
A = ( 7.7 + 2.3 ) x 6 / 2
A = 10 x 6 / 2
A = 60 / 2
A = 30 in^2
hope this helps:) !!!
More questions from last post.
Answers
Answer:
Square root(9),PI, 22/7, 3 1/5 OR square root(9), PI,22/7, 3 1/5
Step-by-step explanation:
First off lets simplify
sqaure root of 9 is =3
22/7 = 3 1/7
And if you notice 3 1/7 and pi are EXACTLY the same.
3 1/5 = 3.2
Final pairings:
Square root(9),PI, 22/7, 3 1/5
OR
square root(9), PI,22/7, 3 1/5
Once again pi and 22/7 are the same.
Hope this helped :)))
Choose the point on the terminal side of 135º.
Answers
We are given the following information.
We also know that the general equation of a line is given by
\(y=mx+b\)Where m is the slope of the line and b is the point at which it crosses the y axis.
Since the line given goes through (0,0), b=0. Now we just need to find m.
This can be done via the formula
\(m=\tan (\theta)\)In this case
\(m=\tan (135)=-1\)And so, the equation of the line given is
\(y=-x\)Now we simply need to see which of the options fit this equation. We can do this easily, because x and y are equal except for their sign.
As such, the point of the terminal side of 135° is (-1,1).
Plz help I need to finish this now
Answers
Answer: it’s the second one
Step-by-step explanation:
(3) need help plz Asap
Answers
Answer:
brainlist plzz
Step-by-step explanation:
D....................................
What is the product of 1.6×10-3 and 3.2×10-1?
Answers
Answer:
403
Step-by-step explanation:
Look at the image please worth points (don’t reply if you don’t have an answer)
Answers
Answer:
17
Step-by-step explanation:
add up everythig before 7 which is 2 5 and 10
Answer:
i believe it is 17.
Step-by-step explanation:
if c is 8 am, then 7 am must have been at 10. so add up all the numbers from then and further back, and you get 17. (it could also be 7 so don't count on it)
hope this helps! if correct pls mark brainliest!
A farm's pasture is home to 200 cows. There is a density of 40 cows per
square mile. What is the are of the pasture?
Answers
The farm's pasture has a density of 40 cows per square mile and is home to 200 cows. To find the area of the pasture, we divide the total number of cows by the density. The area of the pasture is 5 square miles.
The density of cows in the pasture is given as 40 cows per square mile. We also know that there are 200 cows in total.
To find the area of the pasture, we divide the total number of cows by the density. Thus, the area of the pasture is:
Area = Total number of cows / Density
Area = 200 cows / 40 cows per square mile
Simplifying the expression, we have:
Area = 5 square miles
Therefore, the area of the pasture is 5 square miles. This means that the farm's pasture spans an area of 5 square miles and is home to 200 cows with a density of 40 cows per square mile.
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Middle school math!!
What does the graph tell you about the solution to the system equation?
Answers
Answer:
Step-by-step explanation:
The two lines intersect at one point. At this one point, the two students will have drunken the same amount of liquid.
There is sufficient info here so that one could determine that time and that volume of liquid if desired.