Answer:
B
Step-by-step explanation:
5x + 4y >= 2
4y >= -5x + 2
y >= -5/4x + 1/2
Since the equation is >=, everything on or above the line y = -5/4x + 1/2 should be shaded.
Josh earned $72 less than his sister who earned $93 more than her mom. If they earned a total of $504, how much did josh earn
Answer:
Josh earned $151
Step-by-step explanation:
Answer:
339Step-by-step explanation:
evaluate c f · dr. f(x, y) = xi yj c: r(t) = (5t 2)i tj, 0 ≤ t ≤ 1
Thus, the value of c f · dr. f(x, y) = xi yj c: r(t) = (5t 2)i tj, 0 ≤ t ≤ 1 is found as 2c using the vector function.
To evaluate c f · dr, we first need to find the vector function of f evaluated along the path r.
Using the given function f(x, y) = xi yj and the path r(t) = (5t^2)i + tj, we can substitute for x and y to get:
f(r(t)) = (5t^2)i * (t)j = 5t^3i + 5tj
Next, we need to find the differential of the path dr, which is:
dr = (10t)i + j dt
Now we can evaluate the dot product of c f and dr:
c f · dr = ∫c f · dr = ∫(c)(5t^3i + 5tj) · (10t)i + j dt, where c is a constant
= ∫(50c t^4) dt + ∫(5c t) dt
= 10c/5 t^5 + 5c/2 t^2 + C
Evaluating this from 0 to 1, we get:
c f · dr = 10c/5(1)^5 + 5c/2(1)^2 - 10c/5(0)^5 - 5c/2(0)^2
= 2c + 0
= 2c
Therefore, the value of c f · dr is 2c.
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Using paper and pencil, find the QR factorizations of the matrices in Exercises 15 through 28. Compare with Exercises 1 through 14. 28. ⎣
⎡
1
7
1
7
0
7
2
7
1
8
1
6
⎦
⎤
The QR factorization of the given matrix ⎣⎡171707271816⎦⎤ can be calculated using paper and pencil. The QR factorization consists of finding an orthogonal matrix Q and an upper triangular matrix R such that the original matrix is equal to the product of Q and R.
To perform the QR factorization, we need to use methods such as Gram-Schmidt orthogonalization or Householder transformations. These methods involve a series of calculations and manipulations to obtain the desired factorization. It requires visual representation and extensive numerical calculations.
However, you can perform the QR factorization of the matrix ⎣⎡171707271816⎦⎤ by following the steps of Gram-Schmidt orthogonalization or employing other suitable methods on paper and pencil. The resulting orthogonal matrix Q and upper triangular matrix R, when multiplied together, should reconstruct the original matrix.
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find the QR factorizations of the matrices in ⎣⎡171707271816⎦⎤
i) Given that a = 1, b = 3, c = 7, evaluate abc
Hope it helps
If we weren't given the values of the variables, it would be impossible to simplify the expression any further.
Luckily, we are given the value of each of the three variables.
The value of a is 1 :
1bc
or
bc
The value of b = 3 :
3c
Finally, the value of c is 7 :
3*7
21
Evaluated Expression ↓21
Player A throws the ball to Player
B who then throws the ball the
Player C. How Far did the ball
travel given each player's position
indicated below?
Round to the nearest hundredth.
Player A: (2, 4)
Player B: (16, 9)
Player C: (25, 16)
The ball traveled approximately \(26.27\) units in total.
To calculate the distance the ball traveled, we can use the distance formula between two points in a Cartesian coordinate system.
Distance = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)
Let's calculate the distance between Player A and Player B first:
Distance_AB =
\(\sqrt{((16-2)^{2}+(9-4)^{2}) }\)
\(= \sqrt{(14^{2}+5^{2} ) } \\= \sqrt{(196 +25)} \\= \sqrt{221} \\= 14.87\)
Now, let's calculate the distance between Player B and Player C:
Distance_BC =
\(\sqrt{ ((25 - 16)^2 + (16 - 9)^2)}\\= \sqrt{ (9^2 + 7^2)}\\= \sqrt{(81 + 49)}\\= \sqrt{130}\\=11.40\)
Finally, we can calculate the total distance traveled by adding the distances AB and BC:
Total distance = Distance_AB + Distance_BC
\(= 14.87 + 11.40 \\= 26.27\)
Starting from Player A at \((2, 4),\) it was thrown to Player B at \((16, 9),\) covering a distance of about \(14.87\) units. From Player B, the ball was then thrown to Player C at \((25, 16),\) covering an additional distance of approximately \(11.40\) units.
Combining these distances, the total distance the ball traveled was approximately \(26.27\) units.
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FILL THE BLANK.Two rays with a common end point form an _____
Two rays with a common endpoint form an angle. An angle is defined as a geometric figure formed by two rays that share a common endpoint. In other words, an angle is formed when two rays emanating from a common point, and this common point is known as the vertex.
The rays are the sides of the angle, and the angle is measured in degrees. Angles have different measures, ranging from 0 degrees to 360 degrees. The two rays that make up an angle are also called the sides or arms of the angle. The angle is measured in degrees, and the size of the angle depends on the distance between the two sides of the angle that meet at the vertex.
In geometry, an angle can be named in different ways, depending on the context in which it is being used. Angles are essential in mathematics, physics, and other scientific fields, where they are used to measure the rotation of an object, determine the direction of an object, and in other applications involving rays and lines. Two rays with a common endpoint form an angle.
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Two cards are drawn successively from a deck of 52 cards. Find theprobability that the second card is higher in rank than the ?rst card. Hint :Show that 1 = P (higher) + P (lower) + P (same) and use the fact that P (higher)= P (lower).
The probability that the second card is higher in rank than the first card can be calculated using the fact that the probability of drawing a higher card is equal to the probability of drawing a lower card.
Let's denote P(higher) as the probability of the second card being higher than the first, P(lower) as the probability of the second card being lower than the first, and P(same) as the probability of the second card being the same rank as the first.
Using this notation, we can express the probability of the second card being higher in rank than the first as follows:
P(higher) = 1 - P(lower) - P(same)
Therefore, the probability that the second card is higher in rank than the first card is 1 minus the probability of the second card being lower than the first card minus the probability of the second card being the same rank as the first card.
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The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered
paintings, what is the probability that Tim's and Abby's paintings are in the 6th and 7th positions?
The probability is the ratio of the favorable event to the total number of events. Then the probability is 0.76%.
What is probability?
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
The Art Club is displaying the students' works in the main hallway. In a row of 12 randomly ordered paintings.
Then the probability that Tim's and Abby's paintings are in the 6th and 7th positions will be
\(P = \dfrac{1}{^{12}P_2} \\\\\\P = \dfrac{1}{\dfrac{12!}{(12-2)!}}\\\\\\P = \dfrac{1}{132}\\\\\\P= 0.007575 \approx 0.0076 \ or \ 0.76 \%\)
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what conditions are required for the inference, part b, to be valid? are these conditions reasonably satisfied?
For the inference in part b to be valid, the conditions required are reasonable satisfaction.
To determine if the conditions for the inference in part b are reasonably satisfied, we need to consider the specific details of the inference.
However, in general, the conditions for a valid inference typically include logical reasoning, accurate data, reliable sources, and relevant contextual information.
These conditions ensure that the conclusion drawn from the inference is supported by evidence and does not contain logical fallacies or biases. It is important to evaluate the quality and reliability of the information used in the inference to determine if the conditions are reasonably satisfied.
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write 7.171717 as a mixed number
Answer:
7 17/99
Step-by-step explanation:
determine if all polynomial of the form p(t) = a t^2, where a is in r, is a subspace of p2
The set satisfies all three requirements, we can conclude that all polynomials of the form p(t) = a t^2, where a is in r, is a subspace of p2. To determine if all polynomials of the form p(t) = a t^2, where a is in r, is a subspace of p2,.
We need to check if it satisfies the three requirements of a subspace:
1. The zero vector is in the set.
2. The set is closed under addition.
3. The set is closed under scalar multiplication.
First, let's check if the zero vector is in the set. The zero vector of p2 is the polynomial 0t^2 + 0t + 0, which can be written as p(t) = 0. To see if p(t) = 0 is in the set of polynomials of the form p(t) = a t^2, we need to check if there exists an "a" that satisfies p(t) = a t^2 = 0 for all values of t. This is true only if a = 0, so the zero vector is in the set.
Next, let's check if the set is closed under addition. Suppose we have two polynomials p(t) = a t^2 and q(t) = b t^2, where a and b are in r. Then, their sum is p(t) + q(t) = a t^2 + b t^2 = (a+b) t^2. This is also of the form p(t) = a t^2, where a = a+b, so it is in the set. Therefore, the set is closed under addition.
Finally, let's check if the set is closed under scalar multiplication. Suppose we have a polynomial p(t) = a t^2, where a is in r, and a scalar k. Then, k * p(t) = k * a t^2 = (ka) t^2. This is also of the form p(t) = a t^2, where a = ka, so it is in the set. Therefore, the set is closed under scalar multiplication.
Since the set satisfies all three requirements, we can conclude that all polynomials of the form p(t) = a t^2, where a is in r, is a subspace of p2.
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the sizes in degrees of the interior angles of a pentagon are consecutive even numbers what is the largest of these angles
The largest angle in the pentagon with consecutive even interior angle sizes is 112 degrees.
Let's assume the smallest interior angle of the pentagon is x degrees. Since the angles are consecutive even numbers, the other four angles can be expressed as x + 2, x + 4, x + 6, and x + 8 degrees.
The sum of the interior angles of a pentagon can be calculated using the formula: (n - 2) * 180 degrees, where n is the number of sides of the polygon. For a pentagon, the sum of the interior angles is (5 - 2) * 180 = 3 * 180 = 540 degrees.
Now, let's add up the five angles of the pentagon:
x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 540
Simplifying the equation:
5x + 20 = 540
5x = 540 - 20
5x = 520
x = 520 / 5
x = 104
So, the smallest interior angle, x, is 104 degrees. The largest interior angle is x + 8 = 104 + 8 = 112 degrees.
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What is the period of the graph of y
5cos(4x + 1) + 3?
Answer:
period=(2π-1)/4
Step-by-step explanation:
4x+1=2π
4x=2π-1
x=(2π-1)/4
Answer:
Period is \(\frac{\pi}{2}\)
Step-by-step explanation:
For the function \(y=acos(bx-c)+d\), the period is \(\frac{2\pi}{|b|}\).
Therefore, the period of the function is \(\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}\).
What this means is that the function's wave cycle will repeat every \(\frac{\pi}{2}\) units.
if instead of collecting data from only 1500 resident all of the resident in lexington were asked if they have a gun in their home, then this would be known as what?
This would be known as a population study. A population study involves surveying or collecting data from every member of a specific group or population, in this case, all residents in Lexington.
This approach allows for a more comprehensive understanding of the prevalence of gun ownership within the community, as it includes data from all residents, rather than just a sample.
It also eliminates potential biases that can occur in sample studies, such as self-selection bias or non-response bias. However, it can also be more resource-intensive and time-consuming to collect data from the entire population.
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can you please help me with Michelson Morley , methods or
procedure ,labeled tables that will allow me to draw the graph ,
also draw the graph for me.
answer all questions correctly step by step
The Michelson-Morley experiment was conducted in 1887 to detect the existence of the luminiferous ether, which was thought to be the medium through which light traveled.
Here is the procedure for the Michelson-Morley experiment:
1. Set up a light source, a half-silvered mirror, two mirrors, and two detectors in a square configuration.
2. Split the light beam using the half-silvered mirror so that one beam goes to one mirror and the other beam goes to the other mirror.
3. Reflect the beams back to the half-silvered mirror and combine them to produce an interference pattern.
4. Rotate the entire apparatus by 90 degrees and repeat the measurement.
5. Compare the interference patterns from the two orientations.
If there is a luminiferous ether, the speed of light should be faster in the direction of the ether flow and slower in the perpendicular direction. This should produce a difference in the interference patterns.
However, the Michelson-Morley experiment showed that there was no difference in the interference patterns, indicating that the luminiferous ether did not exist.
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Write the following in exponential form.
50 points - please show all work - thanks.
Answer:
Given expression:
\(\sqrt[8]{81x^2y^{-9}}\)Exponential form of this expression is:
\(({81x^2y^{-9}})^{1/8}\)Further simplification if needed:
\(({81x^2y^{-9}})^{1/8}\) = \((3^4)^{1/8}(x^2)^{1/8}(y^{-9})^{1/8}\) =\(3^{1/2}x^{1/4}y^{-9/8}\)Answer:
\( \huge \boxed{ \boxed{ \red{{3}^{ \frac{1}{2} } {x}^{ \frac{1}{4} } {y}^{ - \frac{9 }{8} } }}}\)
Step-by-step explanation:
to understand thisyou need to know about:law of exponentPEMDASgiven:\( \sf \sqrt[8]{81 {x}^{2} {y}^{ - 9} } \)to do:simplificationtips and formulas:\( \tt \sqrt[n]{x} < = > {x}^{ \frac{1}{n} } \)\( \displaystyle \sf( {x}^{m} {)}^{n} < = > {x}^{m n} \)let's solve:\(step - 1 : define\)
\( \sf \sqrt[8]{81 {x}^{2} {y}^{ - 9} } \)
\( step - 2 : solve\)
\( \sf rewrite \: 81 \: as \: {3}^{4} : \\ \sf\sqrt[8]{ {3}^{4} {x}^{2} {y}^{ - 9} } \)\( \sf use \: {1}^{st} \: formula : \\ \sf( {3}^{4} {x}^{2} {y}^{ - 9} {)}^{ \frac{1}{8} } \)\( \sf use \: {2}^{nd} \: formula : \\ \sf {3}^{4\times \frac{1}{8} } \times {x}^{2 \times \frac{1}{8} } \times {y}^{ - 9 \times \frac{1}{8} } \)\( \sf \: simplify : \\ \sf {3}^{ \frac{4}{8} } {x}^{ \frac{2}{8} } {y}^{ \frac{ - 9}{8} } \\ \therefore \sf {3}^{ \frac{1}{2} } {x}^{ \frac{1}{4} } {y}^{ - \frac{9 }{8} } \)although studies continue to show smoking leads to significant health problems, 30% of adults in a country smoke. consider a group of 250 adults, and use the normal approximation of the binomial distribution to answer the questions below. (a) what is the expected number of adults who smoke?
Based on the 30% smoking rate, we can expect that approximately 75 adults out of the group of 250 will be smokers.
To determine the expected number of adults who smoke in a group of 250 adults, we need to consider the smoking rate of 30% in the country. The expected number can be calculated by multiplying the total number of adults by the smoking rate.
Expected number of adults who smoke = Total number of adults × Smoking rate
Given that there are 250 adults in the group, the expected number of adults who smoke can be calculated as follows:
Expected number of adults who smoke = 250 × 0.30 = 75
The expected number is derived by assuming that each adult's decision to smoke is independent of others in the group. While this calculation provides an estimate, it is important to note that individual smoking behavior can vary.
It's also worth considering that the expected number does not account for factors such as age, gender, or other demographic characteristics that could influence smoking rates.
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The three interior angles of a triangle have a sum of 180°. If two of the three angles are complementary, which conclusion is accurate?
OA) The triangle is acute.
OB) The triangle is right.
OC) The triangle is obtuse.
OD) The triangle is isosceles.
The three interior angles of a triangle have a sum of 180°. If two of the three angles are complementary, then the triangle is right. The correct option is B
What is a triangle?A triangle is a polygon that has three angles and three sides. The sum of angles in a triangle is 180 degrees.
Types of triangles are isosceles, scalene and equilateral triangles. Two angles are said to be complementary if their sum is 90 degrees.
The three interior angles of a triangle have a sum of 180°. If two of the three angles are complementary, then the triangle is right.
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If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape
the half-life of radon-222 is 3.83 d. if a sample of radon initially contains 6.00 × 108 radon atoms, how many of them are left after 10.0 d?
Answer:
I THINK 64.8
Step-by-step explanation:
Tickets are on sale for an upcoming concert at the State Farm Arena in Hidalgo, Texas, which can seat a total of 6,800 people. The stadium offers 800 floor seats in Sections 1-3, 500 floor seats in Sections 4 - 9, and the remaining seats are in the arena's bowl in Sections 101-123, as shown in the floor plan below. 111 112 113 115 117 110 118 7 109 119 108 STAGE 2 5 107 3 9 106 121 104 103 102 101 123 122 105 101 - 123 9 Sections Price Per Ticket 1-3 $150 $40 $75 If the table above gives the price per ticket depending on the seat's section, what is the maximum possible total revenue if the stadium sells completely out?
Answer:
Step-by-step explanation:kkbg g
Justin earned $50 mowing yards and $19 washing cars. He wants to divide his money into 3 equal accounts.
How much will he put in each account? Complete the explanation.
Justin will put $
into each account.
First add $50 and $19 to find how much money Justin earned. Justin earned a total
of $
mowing yards and washing cars. Then divide the total by
to find out how much money will go into each account.
Answer:
$23
Step-by-step explanation:
50 + 19 is 69, and since Justin wants to divide the money into 3 parts. Just divide the total (69) by 3, to get 23. So, Justin will put $23 into the three of the accounts.
X₂ (t) W(t) ½s½s EW(t)=0 X₁ (t) → 4₁ (Y) = 1 8(T), NORMAL EX₁ (0) = 2 EX₂(0)=1 P₁ = [] FIND Mx, (t), Mx₂ (t), Px (t), Px (x) X(t) = (x₂4+)
The final answer is: Mx(t) = E[e^(tx₂ + t4)], Mx₂(t) = E[e^(tx₂)], Px(t) = probability density function of XPx(x) = P(X=x).
Given:
X₁(t) → 4₁ (Y) = 1 8(T)NORMAL EX₁(0) = 2EX₂(0)=1P₁ = []X(t) = (x₂4+), X₂(t)W(t) ½s½s EW(t)=0
As X(t) = (x₂4+), we have to find Mx(t), Mx₂(t), Px(t), Px(x).
The moment generating function of a random variable X is defined as the expected value of the exponential function of tX as shown below.
Mx(t) = E(etX)
Let's calculate Mx(t).X(t) = (x₂4+)
=> X = x₂4+Mx(t)
= E(etX)
= E[e^(tx₂4+)]
As X follows the following distribution,
E [e^(tx₂4+)] = E[e^(tx₂ + t4)]
Now, X₂ and W are independent.
Therefore, the moment generating function of the sum is the product of the individual moment generating functions.
As E[W(t)] = 0, the moment generating function of W does not exist.
Mx₂(t) = E(etX₂)
= E[e^(tx₂)]
As X₂ follows the following distribution,
E [e^(tx₂)] = E[e^(t)]
=> Mₑ(t)Px(t) = probability density function of X
Px(x) = P(X=x)
We are not given any information about X₁ and P₁, hence we cannot calculate Px(t) and Px(x).
Hence, the final answer is:Mx(t) = E[e^(tx₂ + t4)]Mx₂(t) = E[e^(tx₂)]Px(t) = probability density function of XPx(x) = P(X=x)
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SCIENCE. Mutualism is any close relationship between different species.
True or False
Answer:
Step-by-step explanation: This relationship can either be within the species or between the two different species. The species with this relationship is termed as symbionts. Mutual relationship is seen in all living organisms including human beings, animals, birds, plants and other microorganisms like bacteria, virus, and fungi. Mutualism is a sort of symbiosis.
parnell plays a game where he draws one card from a well-shuffled standard deck of 52 cards. he wins the game if the card he draws is a queen or a 7 are the two events mutually exclusive? there is not enough information to determine if the two events are mutually exclusive. the two events are mutually exclusive. the two events are not mutually exclusive. correct what is the probability that parnell wins the game? what is the probability that parnell loses the game
Probability of Parnell winning the game is 2/13 and the probability of Parnell losing the game is 11/13.
The two events in question, drawing a queen or drawing a 7 from a standard deck of 52 cards, are mutually exclusive.What is the probability that Parnell wins the game? When Parnell draws a card from a well-shuffled standard deck of 52 cards, he wins the game if the card he draws is either a queen or a 7. The total number of possible outcomes is 52. The total number of possible outcomes that would result in Parnell winning the game is 8 (4 queens and 4 sevens).Thus, the probability of Parnell winning the game is:P(Parnell wins) = number of favourable outcomes/total number of possible outcomes= 8/52= 2/13What is the probability that Parnell loses the game?The probability that Parnell loses the game is simply the complement of the probability of winning, which is:P(Parnell loses) = 1 - P(Parnell wins)= 1 - 2/13= 11/13. Therefore, the probability of Parnell winning the game is 2/13 and the probability of Parnell losing the game is 11/13.
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solve: 24x^3 -26x^ 2 +9x -1=0.
Answer:
x = 1/2 , x = 1/4 , x = 1/3
Step-by-step explanation:
Factor the following equation --> 24x^3 — 26x^2 + 9x — 1 = 0
You will get ----> (2x - 1) (4x - 1) (3x - 1) = 0
Now make all the above expressions = 0 and solve.
2x - 1 = 0 4x - 1 = 0 3x - 1 = 0
+1 +1 +1 +1 +1 +1
------------------ ------------------ ------------------
2x = 1 4x = 1 3x = 1
/2 /2 /4 /4 /3 /3
------------------- ------------------- ----------------------
x = 1/2 x = 1/4 x = 1/3
in the given figure p=120° and y : z=2 : 3 Find x, y and z
Answer:
x = 60°
y = 72°
z = 48°
Step-by-step explanation:
x = 180 - p = 180 - 120 = 60
Since y;z = 3:2 , 2y = 3z or z = 2y/3
Now, x + y + z = 180
60 + y + 2y/3 = 180 Multiply thru by 3 to remove the fraction
180 + 3y + 2y = 540
180 + 5y = 540
5y = 360
y = 72
z = 2(72)/3 = 48
Check: 60 + 72 + 48 = 180
when there are few data, we often fall back on personal probability. there had been just 2424 space shuttle launches, all successful, before the challenger disaster in january 1986. the shuttle program management thought the chances of such a failure were only 11 in 100,000.in 100,000. suppose 11 in 100,000100,000 is a correct estimate of the chance of such a failure. if a shuttle was launched every day, about how many failures would one expect in 300 years?300 years? round your answer to the nearest whole number.
If a shuttle was launched every day, about 1 failures would one expect in 300 years.
What is estimate?Finding an estimate or approximation—a value that can be used for a purpose despite the possibility of incomplete, uncertain, or unstable input data—is the process of estimation. Despite this, the value is still useful because it was created using the most up-to-date data.
Here,
There are about 110,000 days in 300 years, so the expected number of failures is about 10/11 ≈ 1.
This assumes the launch conditions are identical for each of the launches, or that whatever variation there might be has no effect on the probability. These are bad assumptions.
If a shuttle was launched every day, one might anticipate one failure every 300 years.
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What is the circumference, in centimeters, of the circle? Use 3. 14 for π. Enter your answer in the box. Cm
the circumference of the circle is 19.4568 cm or, rounded to two decimal places, 94.68 cm.
94.68 cm
The formula for circumference of a circle is C = 2πr, where r is the radius of the circle. Therefore, to find the circumference of the circle, we need to first calculate the radius.
The area of the circle is given as A = πr2.
Therefore, we can rearrange this equation to solve for the radius, which is
r = √(A/π)
Plugging in the given area, A = 3.14, we get
r = √(3.14/π) = √(3.14/3.14) = 1
Now, we can use the circumference formula to calculate the circumference, which is
C = 2πr = 2π(1) = 2π × 3.14 = 6.28 × 3.14 = 19.4568
Therefore, the circumference of the circle is 19.4568 cm or, rounded to two decimal places, 94.68 cm.
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√57^2 = x
Please find x.
Answer:
x = 57
Hope it helped :)
Answer:
x=57
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.