Answer:
60 grams
Step-by-step explanation:
If it was 100 grams, and you added 20 percent, you'd have 120 grams, right
But it is half the size, so you end up with half of that, 60 grams.
A child is flying a kite. If the kite is h feet above the child's hand level and the wind is blowing it on a horizontal course at v feet per second, the child is paying out cord at ____ feet per second when s feet of cord are out. Assume that the cord by remains straight from hand to kite.
The child is paying out cord at a rate of p = s' = (v / s) d feet per second when s feet of cord are out.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
By Pythagorean theorem we relate the horizontal distance the kite travels to the length of the cord that is out.
Let d be the horizontal distance the kite travels, then we have:
d² + h² = s²
Differentiate with respect to t.
2d(d') = 2s(s')
where d' is the rate of change of d with respect to t, and
s' is the rate of change of s with respect to t.
Let us solve for d'
d' = s(s') / d
The height above the child's hand level h remains constant. Therefore, we have:
h' = 0
The speed at which the cord is being paid out is the same as the rate of change of the length of the cord that is out with respect to time t, so we have:
p = s'
Substituting h' = 0 and d' = s(s') / d into the chain rule formula, we get:
v = d' + h' = d' = s(s') / d
Solving for s', we get:
s' = (v / s) d
Therefore, the child is paying out cord at a rate of p = s' = (v / s) d feet per second when s feet of cord are out.
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Is m and n are positive rational numbers, then m + n is positive
Yes, this statement is true, if m and n are positive rational numbers
The relative frequency table describes the relationship between students who completed an exam review and their performance on the exam
Passed exam Did not pass exam Row Totals
Completed exam review
55%
10%
65%
Did not complete exam review
20%
15%
35%
Column Totals
75%
25%
100%
Part A: What is the percentage of students who completed the exam review, given that they passed the exam? Round to the nearest percentage. (2 points)
Part B: What is the percentage of students who completed the exam review, given that they failed the exam? Round to the nearest percentage (2 points)
Part C: Is there an association between completing the exam review and passing the exam? Justify your answer. (2 points)
From the given relative frequency table , answer of the following questions are as follow:
a. Percentage of students those who have completed the exam review with the condition that they have passed the exam is given by 55%.
b. Percentage of students those who have completed the exam review with the condition that they have failed the exam is given by 10%.
c. Yes, there is association between the two completing the exam review and passing the exam is only 55%.
As given in the question,
From the given relative frequency table , answer of the following questions are as follow:
Total percentage of students completing the exam review = 65%
a. Completed the exam review with the condition that they have passed the exam = 55%
b. Completed the exam review with the condition that they have failed the exam = 10%
c. Yes, there is association between the two completing the exam review and passing the exam is only 55% and those who have completing the exam review but failed are 10%.
Therefore, from the given relative frequency table , answer of the following questions are as follow:
a. Percentage of students those who have completed the exam review with the condition that they have passed the exam is given by 55%.
b. Percentage of students those who have completed the exam review with the condition that they have failed the exam is given by 10%.
c. Yes, there is association between the two completing the exam review and passing the exam is only 55%.
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Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for
Scenario 2 Magnifi Co. produces a high-end amplifier for musical aficionados. Historically, only 85% of the 200 amplifiers produced per month on average have met the company's demanding standards for quality control. Suppose a random sample of 50 amplifiers is taken from a month's production..
What is the probability that less than 40 of the amplifiers will meet the company's quality standards? b) What is the probability that between 40 and 45 inclusive of the amplifiers will meet the company's quality standards? c) What is the probability that more than 45 of the amplifiers will meet the company's quality standards? a) In order to solve for the probability that less than 40 amplifiers will meet the company's quality standards, we can use the binomial distribution formula: P(X < 40) = Σi=0^39 C(50, i) (0.85)i(1-0.85)50-i
This can be solved using a computer, calculator, or by using a binomial probability table. Using a binomial table, we can find that P(X < 40) = 0.024. Therefore, there is a 0.024 probability that less than 40 amplifiers will meet the company's quality standards. b) To solve for the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards, we can use the binomial distribution formula again. We need to solve for P(40 ≤ X ≤ 45): P(40 ≤ X ≤ 45) = Σi=40^45 C(50, i) (0.85)i(1-0.85)50-i This can also be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(40 ≤ X ≤ 45) = 0.435. Therefore, there is a 0.435 probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards. c) To solve for the probability that more than 45 amplifiers will meet the company's quality standards, we can use the binomial distribution formula one more time. We need to solve for P(X > 45): P(X > 45) = Σi=46^50 C(50, i) (0.85)i(1-0.85)50-i Once again, this can be solved using a computer, calculator, or binomial table. Using a binomial table, we can find that P(X > 45) = 0.056. Therefore, there is a 0.056 probability that more than 45 amplifiers will meet the company's quality standards.Overall, it can be concluded that the probability that less than 40 amplifiers will meet the company's quality standards is low, the probability that between 40 and 45 amplifiers inclusive will meet the company's quality standards is relatively high, and the probability that more than 45 amplifiers will meet the company's quality standards is relatively low.
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Name the property illustrated. 6 + 4 + 1 = 4 + 6 + 1
Answer:
distribuative property of addition
Step-by-step explanation:
Answer:
I'm going to say expanded form
Step-by-step explanation:
Question 5
3 pts
In 1995, you bought a baseball card for $50 that you expect to increase in value 5% each
year for the next 10 years. Write an exponential growth equation
and
estimate the value of the baseball card in 2002
What is x in 3(x-8)=-29.7
Answer:
-1.9
Step-by-step explanation:
the radius of a circle is increasing at a certain instant the rate of increase in the area of the circle is numericallt equa to twice the rate of increase in its circumference. what is the raduis of teh circle at that instant
So the radius of the circle at that instant is 1.
Let's call the radius of the circle at that instant "r."
The formula for the area of a circle is A = pi * r^2 and the formula for the circumference of a circle is C = 2 * pi * r.
If the rate of increase in the area of the circle is numerically equal to twice the rate of increase in its circumference, we can set up the following equation:
2 * (2 * pi * r) = (pi * r^2)
Solving this equation for r, we find that the radius of the circle at that instant is r = 1.
So the radius of the circle at that instant is 1.
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Which fraction represents the decimal 0. 8888. ? StartFraction 80 Over 99 EndFraction StartFraction 1,111 Over 1,250 EndFraction Eight-ninths Nine-eighths.
Decimals are obtained if fraction is solved even if there is remainder in division. The fraction representing the decimal 0.8888 is :\(\dfrac{1111}{1250}\)
How to convert from decimal to fraction?For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.
For example: \(0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}\)
(10 raised to power k = 1 followed by k zeroes)
For the given case, the decimal 0.8888 is converted to fraction as shown below.
As in 0.8888, there are 4 digits after decimal point so, we write numerator as 8888, and denominator as 10000, thus,
\(0.8888 = \dfrac{8888}{10000}\)
Now, we can cancel out the common factors in both numerators and denominators.
Thus, \(0.8888 = \dfrac{8888}{10000} = \dfrac{1111}{1250}\)
(canceled the common factor 8)
Therefore, the fraction representing the decimal 0.8888 is :\(\dfrac{1111}{1250}\)
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3(4w+2)+13 this was for hw and i need to get my grade up pls help
Answer:
12w+19
Step-by-step explanation:
\(3(4w + 2) + 13\)
You multiply everything in the brackets with 3\(3(4w) + 3(2) + 13\)
\(12w + 6 + 13\)
combine the like terms\(12w + 19\)
What is f(–1) for the function shown?
Answer:
f(-1) = 3
Step-by-step explanation:
This line has function f(x) = 2x - 1, so
f(-1) = 3.
Answer:
f(-1) = 3
Step-by-step explanation:
See attached. For some reason Brainly thinks my explanation has links or swear words. It does not.
Plz help me out it would be a life time
Answer:
a= 3 w- 1
Step-by-step explanation:
Answer:
A=12\(u^{2}\)
Step-by-step explanation:
A=bh/2
A=(4)(6)/2
In a runs test with 80 residuals, we find there are 20 zero centerline crossings. It suggests there is _____. a) positive autocorrelation for the errors B) no autocorrelation for the errors C) negative autocorrelation for the errors D) positive or negative autocorrelation for the errors
The correct answer is A) positive autocorrelation for the errors.
In a runs test, we analyze the sequence of residuals to determine if there is any pattern or correlation present. A centerline crossing occurs when the residual changes sign (from positive to negative or vice versa) relative to the centerline (zero in this case).
If there is no autocorrelation present in the errors, we would expect the number of centerline crossings to be approximately half the number of residuals. However, in this case, we observe 20 centerline crossings out of 80 residuals.
The presence of more centerline crossings than expected suggests a pattern or correlation in the residuals. Specifically, in this case, the excess number of positive or negative centerline crossings indicates positive autocorrelation in the errors. This means that the errors tend to be correlated over time, exhibiting a similar trend or pattern.
Therefore, the answer is A) positive autocorrelation for the errors.
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Which graph is defined by the function given below?
y= (x + 2)(x + 7)
Answer:
Graph A
Step-by-step explanation:
50 POINTS HELP ASAP
The price of an adults ticket is $
The prince of a child's ticket is $
show step by step work
Answer:
$60
Step-by-step explanation:
Movieland is in yellow....at the far left the Moviland- yellow 'regular' price for a DVD is shown as y= $20
three of these would be 3 x $20 = $60
Find the center and radius of the circle that passes through the points (−1,5),(5,−3) and (6,4).
A circle can be defined as a geometric shape consisting of all points in a plane that are equidistant from a given point, which is known as the center. The distance between the center of the circle and any point on the circle is referred to as the radius.
In order to find the center and radius of a circle, we need to have three points on the circle's circumference, and then we can use algebraic formulas to solve for the center and radius. Let's look at the given problem to find the center and radius of the circle that passes through the points (-1,5), (5,-3), and (6,4).
Center of the circle can be determined using the formula:
(x,y)=(−x1−x2−x3/3,−y1−y2−y3/3)(x,y)=(−x1−x2−x3/3,−y1−y2−y3/3)
Let's plug in the values of the given points and simplify:
(x,y)=(−(−1)−5−6/3,−5+3+4/3)=(2,2/3)
Next, we need to find the radius of the circle. We can use the distance formula to find the distance between any of the three given points and the center of the circle:
Distance between (-1,5) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(2+1)2+(2/3−5)2=√10.111
Distance between (5,-3) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(5−2)2+(−3−2/3)2=√42.222
Distance between (6,4) and (2,2/3) =√(x2−x1)2+(y2−y1)2=(6−2)2+(4−2/3)2=√33.361
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Which similarity postulate or theorem can be used to verify that the two
triangles shown below are similar?
A. SAS theorem
B. SSS theorem
C. AA postulate
D. Similarity cannot be determined.
Answer:
C
Step-by-step explanation:
AA postulate because we are given 2 of the 3 angles of each triangle. They are both the same in each triangle. Also, we can find the 3rd angle in each triangle. Since both triangles have the exact same angles, they are similar.
The given triangles ΔABC and ΔLMN are similar by AA postulate.
What is a triangle?A triangle is a three sided polygon that consist of three edges and three vertices .
Here two given triangles are ΔABC and ΔLMN. In these two triangles ∠A=∠L=53° and ∠B=∠M= 72°.
Therefore, the two corresponding angles of triangles ΔABC and ΔLMN are equal . So the third angle of ΔABC is also equal to the corresponding angle of ΔLMN.
Hence two triangles are similar by AA postulate.
Thus two triangles are similar by AA postulate. So option (C) is correct.
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What is 223*445=
What is 2+2
Answer:
99235
4
Explanation: Addition, and Multiplication
{•Pls Help•}
Which of the following expression represents the distance between -4 and 1
Choose 1 Answer
A: | - 4 + 1 |
B: | - 4 - 1 |
C: None Of The Above
Answer:
C: None of the above
Step-by-step explanation:
a pile of 10 000 sheets of paper is 89 cm thick. how thick is 1 sheet of paper.
Answer:
1 sheet is 0.0089 cm thick.
Step-by-step explanation:
10000 sheets of paper is 89 cm thick
=> 1 sheet of paper is 89 ÷ 10000 = 0.0089cm thick
Given points A(2,−1,3),B(1,0,−4) and C(2,2,5). (a) Find an equation of the plane passing through the points. (b) Find parametric equation of the line passing through A and B.
(a) The equation of the plane passing through the points A(2, -1, 3), B(1, 0, -4), and C(2, 2, 5) is -5x - 2y - 3z + 17 = 0. (b) The parametric equation of the line passing through A(2, -1, 3) and B(1, 0, -4) is x = 2 - t, y = -1 + t, z = 3 - 7t, where t is a parameter.
(a) To find an equation of the plane passing through the points A(2, -1, 3), B(1, 0, -4), and C(2, 2, 5), we can use the cross product of two vectors in the plane.
Let's find two vectors in the plane: AB and AC.
Vector AB = B - A
= (1 - 2, 0 - (-1), -4 - 3)
= (-1, 1, -7)
Vector AC = C - A
= (2 - 2, 2 - (-1), 5 - 3)
= (0, 3, 2)
Next, we find the cross product of AB and AC:
N = AB x AC
= (1, 1, -7) x (0, 3, 2)
N = (-5, -2, -3)
The equation of the plane can be written as:
-5x - 2y - 3z + D = 0
To find D, we substitute one of the points (let's use point A) into the equation:
-5(2) - 2(-1) - 3(3) + D = 0
-10 + 2 - 9 + D = 0
-17 + D = 0
D = 17
So the equation of the plane passing through the points A, B, and C is: -5x - 2y - 3z + 17 = 0.
(b) To find the parametric equation of the line passing through points A(2, -1, 3) and B(1, 0, -4), we can use the vector form of the line equation.
The direction vector of the line is given by the difference between the coordinates of the two points:
Direction vector AB = B - A
= (1 - 2, 0 - (-1), -4 - 3)
= (-1, 1, -7)
The parametric equation of the line passing through A and B is:
x = 2 - t
y = -1 + t
z = 3 - 7t
where t is a parameter that can take any real value.
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you are treating a 50-year-old man that was involved in a fire. he suffered 25% 2nd-3rd degree burns to the anterior chest, neck and face. he has singed nasal hairs, and you identify stridor on your primary survey. pulse oximetry is 88% on a 100% non-rebreather mask. a burn center is 45 miles away. the next most appropriate step prior to transfer is:
A 100% non-rebreather mask has a pulse oximetry reading of 88%. There is a burn centre 45 miles distant. the best course of action to do after transferring a serious burn side.
A 50-year-old man who was injured in a fire is being treated by you. He sustained 25% 2nd–3rd degree burns to his face, neck, and anterior chest. He has burned nasal hairs, and your initial survey reveals stridor.
Any damage that exceeds 10% in size should be treated in a similar manner, although significant burns are classified as those that encompass 25% or more of the total body surface area. Rapid evaluation is essential. Any blaze can be managed using the general strategy for a significant burn. The most crucial things are to take a thorough history.
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for each of the following, solve exactly for the variable x. (a) 1 x x22! x33! ⋯=6
The value of x that satisfies the equation is 6.
We have,
To solve for M in equation 1 x M x 22! x 33! ... = 6, we need to simplify the factorial terms.
First, let's simplify 22! and 33!.
The factorial of a number n is the product of all positive integers from 1 to n.
22! = 22 x 21 x 20 x ... x 2 x 1
33! = 33 x 32 x 31 x ... x 2 x 1
Now, let's rewrite the equation:
1 x (x) x 22! x 33! ... = 6
Substituting the simplified factorial terms:
1 x (x) x (22 x 21 x 20 x ... x 2 x 1) x (33 x 32 x 31 x ... x 2 x 1) ... = 6
We can see that the product of the factorial terms will cancel out, as we have terms for both 22! and 33! in the equation.
1 x (x) = 6
To solve for x, we simply divide both sides of the equation by 1:
M = 6
Therefore,
The value of M that satisfies the equation is 6.
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The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $356 to drive 380 mi and in June it cost her $404 to drive 620 mi. The function is C(d)=0.2+280 (b) Use part (a) to predict the cost of driving 1800 miles per month. (c) Draw a graph (d) What does the slope represent? What does the C-intercept represent? Why does a linear function give a suitable model in this situation?
(b) $640 (c) y-int of 280, positive slope (d) It represents the cost (in dollars) per mile. It represents the fixed cost (amount she pays even if she does not drive). A linear function is suitable because the monthly cost increases as the number of miles driven increases.
To predict the cost of driving 1800 miles per month, substitute 1800 in the given function C(d) = 0.2d + 280C(1800) = 0.2 (1800) + 280= $640 per month. Therefore, the cost of driving 1800 miles per month is $640.
(b) Graph is shown below:(c)The slope of the graph represents the rate of change of the cost of driving a car per mile. The slope is given by 0.2, which means that for every mile Lynn drives, the cost increases by $0.2.The y-intercept of the graph represents the fixed cost (amount she pays even if she does not drive).
The y-intercept is given by 280, which means that even if Lynn does not drive the car, she has to pay $280 per month.The linear function gives a suitable model in this situation because the monthly cost increases as the number of miles driven increases.
This is shown by the positive slope of the graph. The fixed cost is also included in the function, which is represented by the y-intercept. Therefore, a linear function is a suitable model in this situation.
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HELP!! I have been stuck on these questions forever! Im having to multiply or devide in scientific notation. Im having to find the sum or difference. I will mark brainiest.
d/3 =13 what is d and explain why its d.
Answer: d = 39
Solve:
Given
d / 3 = 13
In order to get the value of d, we need to isolate d, which means we should multiply 3 on both sides to delete the 3 on the left-hand side
d / 3 × 3 = 13 × 3
d = 39
Check:
Left-hand side = d / 3 = 39 / 3 = 13
Right-hand side = 13
13 = 13
Hope this helps!! :)
Please let me know if you have any questions
Answer:
39
Step-by-step explanation
so d ÷ 3 = 13
first we want to change these numbers into a fraction so
d ÷ 3 = \(\frac{d}3}\)
13 is whole but we can still display it as 13÷1 =\(\frac{13}{1}\)
line these up like this
\(\frac{d}{3} \frac{13}{1}\)
now cross multiply the numbers that always line up diagonally so 13 and 3
13x3=39
next divide that answer by the number diagonal to the unknwon so 39÷1 = 39
that means d = 39
The lines are parallel find x
Which set of numbers can represent the side lengths, in centimeters, of a right triangle?A. 8,12,15B. 10,24,2
The set of numbers that can represent the side lengths, in centimeters, of a right triangle is 10, 24, 2, option B.
To determine which set of numbers can represent the side lengths, in centimeters, of a right triangle, we will use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two side lengths.
Let's examine the two sets of side lengths provided:
A. 8, 12, 15
Using the Pythagorean theorem, we will check if 8² + 12² = 15².
8² = 64
12² = 144
15² = 225
64 + 144 = 208
Since 208 is not equal to 225, set A does not form a right triangle.
B. 10, 24, 26
Using the Pythagorean theorem, we will check if 10² + 24² = 26².
10² = 100
24² = 576
26² = 676
100 + 576 = 676
Since 676 is equal to 676, set B does form a right triangle.
Therefore, the set of numbers that can represent the side lengths, in centimeters, of a right triangle is B. 10, 24, 26.
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If yall were in tony's shoes you wouldn't want ppl harassing every SINGLE day about what happened in the past. Yeah it wasn't right what he did but you have to learn how to move on and get a life he apologized and that's what matters. #TonyLopez
you are so right
and people need to see this