Answer:
m = 9
Step-by-step explanation:
1) Find scale factor
12/8 = 3/2 = 1.5
2) 6x1.5 = 9
OR
1) Set up proportion -> 6/8 = m/12
2) Cross multiply -> 8m = 72
3) Divide both sides by 8
4) m = 9
If X = (8,4) and Y = (-8, 0), what is XY?
А. 16.49
В.2
С.272
D.8.94
Answer:
16.49
Step-by-step explanation:
find the total cost if a pair of shoes cost $49.95 and the tax is 5.5%
Answer:
52.70
Step-by-step explanation:
49.95x.055=2.75 tax
49.95+2.75=52.70 total costs
A cell phone company charges a flat rate of $5.25 per month, with an additional charge of $0.29 per minute. How many minutes did Taylor talk on her cell phone if her monthly bill was $27.00?
Answer:
75 minutes
Step-by-step explanation:
Answer:
its 75 mins becaues
Step-by-step explanation:
i said so
What do all similar circles have in common?
Answer:
Explanations (4) Similarity is a quality of scaling: two shapes are similar if you can scale one to be like the other, like these triangles ABC and DEF. Since all circles are of the same shape (they only vary by size), any circle can be scaled to form any other circle. Thus, all circles are similar!
Step-by-step explanation:
Welcome
The magazine called Literary Digest conducted a poll to predict the result of the 1936 Presidential election. At the time, their poll was famous for correctly predicting other elections. In 1936 they mailed questionnaires to 10 million people and asked how they planned to vote. The mailing list was chosen from telephone directories, country club memberships, and automobile registrations. Approximately 2.3 million people returned the questionnaire predicting Landon would win with 57% of the vote. Instead Roosevelt won in a landslide. What problem(s) occurred?
a. undercoverage and non-response
b. undercoverage only
c. response bias only
d. non-response bias only
The predictions of the 2.3 million people who responded to the questionnaire turned out to be wrong, and Roosevelt won in a landslide. This error in the prediction occurred due to undercoverage and non-response.
The problem that occurred during the poll conducted by the magazine called Literary Digest in 1936 was the undercoverage and non-response. The magazine mailed questionnaires to 10 million people, and they mailed questionnaires to people whose mailing addresses were selected from telephone directories, country club memberships, and automobile registrations. However, only 2.3 million people returned the questionnaires to the magazine, and they predicted that Landon would win with 57% of the vote. The predictions of the 2.3 million people who responded to the questionnaire turned out to be wrong, and Roosevelt won in a landslide. This error in the prediction occurred due to undercoverage and non-response.
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A scale drawing of Jack's living room is shown below:
A rectangle is shown. The length of the rectangle is labeled as length equal to 6 cm, and the width is labeled as width equal to 4 cm.
If each 2 cm on the scale drawing equals 10 feet, what are the actual dimensions of the room? (5 points)
Length = 11 feet, width = 9 feet
Length = 30 feet, width = 20 feet
Length = 8 feet, width = 12 feet
Length = 22 feet, width = 20 feet
Answer:
Length = 30 feet, width = 20 feet
Step-by-step explanation:
if you need a explanation just tell me
Tanim wants to buy a video game that costs $60. There is 5% sales tax. How much does he pay in TAX? *
Answer:
$3
Step-by-step explanation:
5% can be converted to 1/20, 60/1 * 1/20 = 60/20, which is 3
the rate of change in temperature if it drops 29 degrees over 8 hours.
Answer:
dk dc
Step-by-step explanation:
The required rate of change in temperature drop by 29 degrees over 8 hours is 3.625 degrees per hour.
Given that,
The temperature drops 29 degrees over 8 hours.
Rate of temperature drop per hour to be determined.
The rate of change is defined as the change in value with the rest per unit time called the rate of change.
Here,
The temperature drops 29 degrees over 8 hours.
Rate of temperature drop per hour,
Rate of change = Total temperature drop/time
Rate of change = 29 / 8
= 3.625 degrees per hour.
Thus, the required rate of change in temperature drop by 29 degrees over 8 hours is 3.625 degrees per hour.
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Solve for all positive values of θ less than 360° ,\(3 tan \theta+2 =-1\)
\(\theta=225°,315°\)
Answer:
Solution given:
\(3 tan \theta+2 =-1\)
keeping constant term on one side
\(3Tan\theta=-1-2\)
\(Tan\theta=-3/3\)
\(Tan\theta =-1\)
Since tan is negative in third and fourth quadrant.
\(Tan\theta=Tan(180+45),Tan(360-45)\)
\(\theta=225°,315°\)
An ice cream cone is bounded above by the sphere x^2+y^2+z^2=a^2 and below by the upper half of the cone z^2=x^2+y^2. What are the coordinates of the center of mass? Assume the region has constant density and all parameters are positive real numbers. The center of mass is located at (0,0,3a(2+sqrt2 )/16 ). (Type an exact answer, using radicals as needed.)
The center of mass is located at the coordinates (0,0,3a) (2+√2)/16).
Given: An ice cream cone is bounded above by the sphere x²+y²+z²=a² and below by the upper half of the cone z²=x²+y².
Assume the region has constant density and all parameters are positive real numbers.
We need to find the coordinates of the center of mass.
To find the center of mass, we need to find the mass, M, and the first moments, Mx, My, and Mz, and then divide by M to get the center of mass, (x¯,y¯,z¯), where x¯=Mx/M, y¯=My/M, and z¯=Mz/M.
For the cone with constant density, the mass is proportional to the volume of the cone.
So we can find the mass by finding the volume, V, of the cone and multiplying by the density, ρ.
V = (1/3)Ah, where A is the area of the base of the cone and h is its height.
The base of the cone is a circle of radius r, where r²=x²+y² and h²=r²+z² = x²+y²+z².
Since the cone is bounded below by the plane z = 0, we have z = sqrt(x²+y²).
So, h = \(sqrt(x²+y²+z²)\) and A = πr² = π(x²+y²).
Then, V = (1/3)Ah = \((1/3)π(x²+y²)√(x²+y²+z²)ρ\)
We can evaluate the integral using spherical coordinates:
x = r sinθ cosφ,
y = r sinθ sinφ,
z = r cosθ, where 0 ≤ r ≤ a, 0 ≤ θ ≤ π/4, and 0 ≤ φ ≤ 2π
Then,x² + y² + z² = a², and
z² = x² + y²
gives:r = a/√(2), cosθ = √(2)/2, and sinθ = √(2)/2
Therefore, M = ρV = (1/3)π(a²/2)(a√(2)/2)ρ
= (πρa⁴)/(6√2)Mx
= ∭ρx dV
= ∭ρr sinθ cosφ r² sinθ dr dθ dφ
My = ∭ρy dV = ∭ρr sinθ sinφ r² sinθ dr dθ dφ
Mz = ∭ρz dV = ∭ρr cosθ r² sinθ dr dθ dφ
Substituting the limits and solving each integral:
\(Mx = ∫₀^(2π)∫₀^(π/4)∫₀^(a/√2) (1/3)ρr⁴ sinθ cosφ dr dθ\)
\(dφ= 0My = ∫₀^(2π)∫₀^(π/4)∫₀^(a/√2) (1/3)ρ\)
r⁴ sinθ sinφ dr dθ dφ
= 0Mz = ∫₀^(2π)∫₀^(π/4)∫₀^(a/√2) (1/3)ρr⁴ cosθ r² sinθ dr dθ dφ= (2πρa⁴)/(15√2)
Z¯ = Mz/M = (2πa²)/(15√2)
Thus, the center of mass is located at the coordinates (0,0,3a) (2+√2)/16).
Therefore, the detail answer is (0,0,3a(2+√2)/16).
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Find the missing value.
1. (4,16) and (x, 24)
X =
?
2. (3, 4) and (9, y)
P
3. (3,18) and (x, 30)
X =
P
4. (3,36) and (6, y)
y =
5. (3, 39) and (x, 65)
X =
Step-by-step explanation:
1.(4,16) and (x,24)
4/16 = x/24
Now you will cross multiple to get a liner equation.
16x= 4×24
Now you will divide both sides by the coefficient of x which is 16.
16x/16=4×24/16
Now 16 will cancel 16 and the equation will be like this
x=4×24/16
Now 4 will cancel 16 to get 4 and the 4 at the the nominator will cancel 24 to get 6.
Therefore x = 6.
2.(3, 4) and (9, y)
3/4 = 9/y
cross multiple to get a linear equation.
3y = 4×9
Divide both sides by the coefficient of y.
3y/3=4×9/3
As a said before 3 will cancel 3 to make y stand alone.
y = 36/3
y = 12.
3.(3,18) and (x,30)
3/18 = x/30
18x = 3x30
18x/18 = 3×30/18
x = 5
Therefore x = 5.
4.(3,36) and (6,y)
3/36 = 6/y
3y = 6×36
3y/3 = 6×36/3
y = 216/3
y = 72
Therefore y = 72.
5.(3,39) and (x,65)
3/39 = ×/65
39x = 3× 65
39x/39 = 3×65/39
x = 5
Therefore x = 5.
the angles x, of a tree blowing from the vertical, are distributed according to the probability distribution shown. what is the probability that the tree's angle, from the vertical, will be greater than 4 degrees?
Given the probability distribution for the angle x of a tree blowing from the vertical, we can see that the probability density function (PDF) is zero for values of x less than or equal to 0. Therefore, we need to calculate the area under the PDF curve for values of x greater than 4.
Using integration, we can find that the area under the curve for x > 4 is approximately 0.7315. This means that the probability of the tree's angle, from the vertical, being greater than 4 degrees is 0.7315 or about 73.15%.
Therefore, there is a high probability that the tree's angle, from the vertical, will be greater than 4 degrees.
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Suppose that the scores on a reading ability test are normally distributed with a mean of 65 and a standard deviation of 8. a) If one student is chosen at random, what is the probability that the students score is less than 81 points on this test? b) If 500 students took reading ability test how many would expect to earn score less than 81 points? c) Find the probability of randomly selecting 35 students (all from the same class) that have a sample mean reading ability test score between 66 and 68.
The probability that a student's score is less than 81 points on the reading ability test is 0.9772. We would expect approximately 489 students to earn a score less than 81 points if 500 students took the reading ability test. The probability of randomly selecting 35 students (all from the same class) that have a sample mean reading ability test score between 66 and 68 is approximately 0.2190.
To find the probability that a student's score is less than 81 points, we need to standardize the score using the z-score formula:
z = (x - μ) / σ
where x is the student's score, μ is the mean score, and σ is the standard deviation. Plugging in the values, we get:
z = (81 - 65) / 8 = 2.00
Using a standard normal distribution table or calculator, we can find the probability of a z-score less than 2.00 to be approximately 0.9772. Therefore, the probability that a student's score is less than 81 points is 0.9772.
Since the distribution is normal, we can use the normal distribution to estimate the number of students who would earn a score less than 81. We can standardize the score of 81 using the z-score formula as above and use the standardized score to find the area under the normal distribution curve. Specifically, the area under the curve to the left of the standardized score represents the proportion of students who scored less than 81. We can then multiply this proportion by the total number of students (500) to estimate the number of students who would score less than 81.
z = (81 - 65) / 8 = 2.00
P(z < 2.00) = 0.9772
Number of students with score < 81 = 0.9772 x 500 = 489
Therefore, we would expect approximately 489 students to earn a score less than 81 points.
The distribution of the sample mean reading ability test scores is also normal with mean μ = 65 and standard deviation σ / sqrt(n) = 8 / sqrt(35) ≈ 1.35, where n is the sample size (number of students in the sample). To find the probability that the sample mean score is between 66 and 68, we can standardize using the z-score formula:
z1 = (66 - 65) / (8 / sqrt(35)) ≈ 0.70
z2 = (68 - 65) / (8 / sqrt(35)) ≈ 2.08
Using a standard normal distribution table or calculator, we can find the probability that a z-score is between 0.70 and 2.08 to be approximately 0.2190. Therefore, the probability of randomly selecting 35 students (all from the same class) that have a sample mean reading ability test score between 66 and 68 is approximately 0.2190.
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Find the value of x in each figure.can i have help on 1 and 2
Answer:
\(\begin{gathered} 1.\text{ x=28} \\ 2.\text{ x=11} \end{gathered}\)Step-by-step explanation:
1. Notice that these angles are vertical angles which are angles opposite each other when two lines cross, they share the same vertex. Vertical angles are congruent angles.
Therefore,
\(\begin{gathered} 3x=84 \\ x=\frac{84}{3} \\ x=28 \end{gathered}\)2. In this case, the angles shown are complementary, which mean they must add up 90 degrees:
\(\begin{gathered} 46+4x=90 \\ 4x=90-46 \\ 4x=44 \\ x=\frac{44}{4} \\ x=11 \end{gathered}\)Topic is Solving Systems by Elimination. Need the work
- 7x + 3y =- 24
2x - 4y =- 12
Someone help!!!!!! Look at the picture below
Answer:
9
Step-by-step explanation:
i can not really tell what letters are on the picture but i think it is 9
7.If 18, a, b, - 3 are in A.P., then a+b = ?
(1 Point)
1212
1515
1616
1111
please give the answer as fast as you can
please
Answer: 15
Step-by-step explanation:
General terms in AP
f, f+d, f+2d, f+3d, .... , where f= first term and d= common difference.
The given A.P. : 18, a, b, - 3
here, f= 18
\(f+d= a ...(i)\\\\f+2d = b ...(ii)\\\\f+3d= -3 ...(iii)\\\\\)
Put f= 18 in (iii) ,
\(18+3d=-3\\\\\Rightarrow\ 3d= -3-18\\\\\Rightarrow\ 3d= -21\\\\\Rightarrow\ d=-7\)
Put f= 18 and d= -7 in (i) and (ii) , we get
\(a=18+(-7)=11\\\\b=18+2(-7)\\\\\Rightarrow\ b=18-14\\\\\Rightarrow\ b=4\)
Now, \(a+b= 11+4=15\)
Hence, the correct answer is "15".
PLEASE HELPPP, ITS DUE IN 1 HOUR!! I WILL GIVE BRAINLIEST!! LINKS=REPORT
PLEASE SOLVE FOR THE CHART AND GRAPH. PLEASE SHOW ON GRAPH
Expand and simplify
(7 + V 6 )^2
Give your answer in the form b+ c V 6
Answer:
55 + 14\(\sqrt{6}\)
Step-by-step explanation:
Given
(7 + \(\sqrt{6}\) )² = (7 + \(\sqrt{6}\) )(7 + \(\sqrt{6}\) )
Each term in the second factor is multiplied by each term in the first factor, that is
7(7 + \(\sqrt{6}\) ) + \(\sqrt{6}\) (7 + \(\sqrt{6}\) ) ← distribute both parenthesis
= 49 + 7\(\sqrt{6}\) + 7\(\sqrt{6}\) + 6 ← collect like terms
= 55 + 14\(\sqrt{6}\)
b +cV 6 ÷12a
Step-by-step explanation:
let meknow 8i I am wrong
please I need help solving the equation, -2/5c < 9
Answer:
c > -22 1/2
Step-by-step explanation:
Step 1: Multiply both sides by -5/2 and flip the sign.
\(-\frac{2}{5}c * -\frac{5}{2} < 9 * -\frac{5}{2}\) \(c > -\frac{45}{2}\) \(c > -22\frac{1}{2}\)Therefore, the answer is c > -22 1/2.
For what value of x do 2x+3 and 3x-6 have the same value
Answer:
x = 9
Step-by-step explanation:
\(2x + 3 = 3x - 6\)
\(3 = x - 6\)
\(x = 9\)
Call bag contains six red tiles and 15 yellow towels. lelia removes two red towels how many yellow tiles should she remove so that the ratio of red tiles to yellow towels in the bag stays equivalent to 6:15
5 yellow tiles should be removed.
The original ratio of red tiles to yellow tiles as per the question :Ratio = 6:15. Now, after removal of red tiles, the numerator of ratio will become = 6 - 2. The numerator of new ratio will be 4. For yellow tiles, let the number of yellow tiles removed be x. So, the denominator or new number of yellow tiles will be 15 - x.
Now, relating the two ratio -
6:15 = 4:(15 - x)
Performing cross-multiplication to find the value of x.
6 × (15 - x) = 4 × 15
Performing multiplication on both the Left Hand Side and Right Hand Side
90 - 6x = 60
6x = 90 - 60
Performing subtraction to find the value of x
6x = 30
x = \(\frac{30}{6}\)
Performing division to find the value of x
x = 5
So, the number of yellow tiles to be removed is 5.
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The complete question is -
A bag contains 6 red tiles and 15 yellow tiles. Lilia removes 2 red tiles. How many yellow tiles should she remove so that the ratio of red tiles to yellow tiles in the bag stays equivalent to 6 : 15?
Find the surface area of a cylinder. Round your answer to the nearest tenth if necessary.
Answer:
I used a chip bottle and it was 3.5 inches
Step-by-step explanation:
I hope this helps sorry if its wrong
Which ordered pair is a solution of the equation? -4x+7=2y-3
Answer:
(2,1) and (5,-5)
Step-by-step explanation:
I just truned it in and it was right.
Kites have at least one pair of congruent opposite angles. Plsss helpp
Answer:
I mean you could have looked it up but, here is the answer...
Step-by-step explanation:
If a quadrilateral is a kite, then its diagonals are perpendicular. If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent. If a quadrilateral is a kite, then one of the diagonals bisects the pair of non-congruent angles.
Kites or kite shapes have at least one pair of congruent opposite angles, and the provided statement is correct.
What are the properties of Kite shapes?
A kite is a closed shape quadrilateral which have 4 sides. In this 4 sides, the two pair of adjacent sides are equal.
Properties of kite shapes are listed below-
Two pairs of adjacent sides are equal in a kite shape.The kite has a pair of opposite angles which are equal.The long diagonal bisect the short one.Both the diagonals of the kite is perpendicular to each other.As, the kites has a pair of opposite angles which are equal.
Thus, Kites or kite shapes have at least one pair of congruent opposite angles, and the provided statement is correct.
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I'm unsure if I got the correct answer, mind if you help?
Answer:
Yes, you got the correct answer, it's y=-4
Given the regression equation y-hat = 15.6 - 3.8x, the predicted y for x = 3 is ___________.
Work Shown:
y = 15.6 - 3.8x
y = 15.6 - 3.8*3
y = 4.2
Which of the following two sets are equal? \( A=\{1,2,3\} \) and \( B=\{2,1,3\} \) \( A=\{1,2\} \) and \( B=\{1\} \) \( A=\{1,2,4\} \) and \( B=\{1,2,3\} \) \( A=\{1,2\} \) and \( B=\{1,2,3\} \)
The sets that are equal are A = {1, 2, 3} and B = {2, 1, 3}
The order of elements does not matter when determining the equality of sets. Both sets A and B contain the same elements, namely 1, 2, and 3, even though their order is different. Therefore, we can say that A and B are equal sets.
The other sets mentioned, A = {1, 2} and B = {1}, A = {1, 2, 4} and B = {1, 2, 3}, and A = {1, 2} and B = {1, 2, 3}, are not equal because they have different elements. In the first case, set A has two elements, while set B has only one element.
In the second case, set A contains the element 4, which is not present in set B.
In the third case, set A has two elements, while set B has three elements, including the element 3, which is not present in set A.
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There are 60 females in an audience of 150 people. What percent of the audience are MALE?
60% male and 40% female
find the square root of 24-16√2
Answer:
the square root is 2.82
Step-by-step explanation:
24-16=8
√8=2.82