It takes Lena to compress the accordion completely and then stretch it back out to a length of 50cm.
It takes Lena 4.1 seconds to compress the accordion completely and then stretch it back out to a length of 50cm.
I am assuming the function without a T: [tex]A(t) = 25_{cos}(t)+65[/tex]
The function is graphed in the figure attached, and the blue line is [tex]y = 50cm[/tex].
From the graph we see that the accordion is completely stretched (has minimum length) at [tex]t = \pi[/tex] seconds, and stretches back to 50cm at [tex]t = 4.069s[/tex]; therefore, it takes Lena 4.069 seconds to stretch the accordion back again, which to the nearest tenth of a second is 4.1s.
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Answer: 1.3s
Step-by-step explanation:
If you're solving for [tex]A(t)=25cos( \pi t)+65\\[/tex]
It is given that AC ≅ AD and ∠CAB ≌ ∠DAB
Part A Write a paragraph proof to prove ABC ≌ ABD. Explain in complete sentences each statement and reason. Be sure to give the reason the two triangles are congruent.
Part B Now that you have proven the two triangles are congruent, can you show that ∠CBA ≌ ∠DBA? Explain your reasoning in a complete sentence.
Answer:
SAS
Step-by-step explanation:
∠CBA ≌ ∠DBA are equal by SAS
given: line 1 passes through (-3, -7) and (5,3)
Line 2 passes through (-4, -2) and is perpendicular to line 1
Answer:
Step-by-step explanation:
We start by developing an equation for Line 1, and then use that to find the equation for Line 2. We'll use the form of an equation for a straight line:
y = mx + b,
where m is the slope and b the y-intercept (the value of y when x=0).
Line 1
Determine the slope, m, by calculating the "Rise/Run" between the two points (-3,-7) and (5,3).
Line up the two points from left to right (based on x) and then calculate:
Rise: (3 - (-7)) = 10
Run: (5 -(-3) = 8
The slope, m, is Rise/Run or (10/8)
The equation becomes y = (5/4)x + b
We could calculate b, the y-intercept, by entering one of the two given points and solving for b, but the only thing we need from this line is it's slope, m. Slope is (5/4), which we'll use in the next step: Line 2.
[Note: Out of curiosity, here is the calculation for b: Use point (5,3) in y = (5/4)x + b and solve for b. 3 = (5/4)*5 + b. 3 = (25/4) + b b = -13/4. This means that Line 1 is y = (5/4)x -(13/4)]
Line 2
The slope of a line perpendicular to the first is the "negative inverse" of the first line. In this case, line 1's slope of (13/8) would become a slope of -(8/13) for line 2.
Line 2: y = -(8/13)x + b
We'll calculate b for this line by enetering the single point provided, (-4,-2), and solving for b:
y = -(8/13)x + b
-2 = -(8/13)*(-4) + b
-2 = (32/13) + b
-2 - (32/13) = b
b = -(26/13) - (32/13)
b = -(58/13)
The new line perpendicular to Line 1 and passing through (-4,-2) is:
y = -(8/13)x -(58/13)
See attached graph.
What is the quotient of 7 over 8 divided by 2 over 5?
Answer:
2 3/16
Step-by-step explanation:
It's simple math :D
NOVEMBER QUOTE!
Ooo! It's fall and thanksgiving time! I gotta get prepared for Thanksgiving and so my friends will come over! Fun! - Ash the Fox
(sorry that ones so long- ;-;)
The hottest day recorded in
Oklahoma was 120° Fahrenheit. What
was the temperature of the hottest
day in Oklahoma in Celsius to the
nearest tenth of a degree?
F=9/5C+32
The temperature of the hottest day in Oklahoma in Celsius to the nearest tenth of a degree is 48.89 degrees.
What is meant by Fahrenheit?The process of converting a temperature value from one unit to another is known as temperature conversion. On scales like Kelvin, Celsius, Fahrenheit, etc., we measure temperature. The freezing point and boiling point of water, respectively, are 273.15K and 373.15K on the Kelvin scale. The freezing point and boiling point of water, respectively, are 32°F and 212°F on the Fahrenheit scale. The freezing point and boiling point of water, respectively, are 0°C and 100°C on the Celsius scale.
Given, The hottest day recorded in Oklahoma was 120° Fahrenheit
F=(9/5)C+32
120=(9/5)C+32
(9/5)C=88
C=48.89
Therefore, the temperature of the hottest day in Oklahoma in Celsius to the nearest tenth of a degree is 48.89 degrees.
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What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
The factor of the polynomial f(x) graphed on the coordinate plane is
(x - 1).
What is factor of the polynomial?
A polynomial with coefficients in a certain field or in integers is expressed as the product of irreducible factors with coefficients in the same domain in mathematics and computer algebra, which is known as polynomial factorization.
A polynomial can be factored by expressing it as the product of two or more components; this is somewhat the opposite of multiplying.
From the given graph we can see that, graph crosses x - axis at points
x = 1 and x = 8.
That means x = 1, 8 are the zero of the polynomial.
Since, if x = a is a zero of the polynomial, then (x - a) is the factor of the polynomial.
As x = 1, 8 are zero of the polynomial so (x - 1) and (x - 8) are the factors of the polynomial.
Hence, from the given options (x - 1) is factor of the polynomial.
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solve 20/2*5+8 = what is this equal to
Answer:
58
Step-by-step explanation:
PEMDAS!
1) 20/2 = 10
2) 10*5+8
3) 10*5 = 50
4) 50 + 8 = 58
Answer is 58, hope this helps ;)
directions: use the given information to find the desired measurement. a ferris wheel has a diameter of 50 feet. how far has a person traveled when they have moved 270 degrees?
Based on the information, the person traveled 117.8 feet by the Ferris wheel.
Circumference = π×diameter
Keep the values in formula and perform multiplication to find the circumference of the wheel
Circumference = 50π
On 1 complete revolution of 360 degrees, the distance covered = 50π
So, revolution of 270 degrees, the distance covered will be = (50π/360) × 270
Performing multiplication and division on Right Hand Side of the equation
The distance traveled = 117.8 feet
Hence, the person travelled 117.8 feet.
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the chief of police in statville wanted to estimate the number of people above the age of 181818 who are using illegal substances in town. he obtained 200200200 random names of statville residents from a computer database and sent his officers to survey these people about substance abuse. once the results came in, he calculated the margin of error and got an estimate of the percentage of residents who use illegal substances. what type of statistical study did the chief of police use?
The chief of police use sample statistical study to estimate the number of people above the age of 18 who are using illegal substances in town.
In the given question,
The chief of police in statville wanted to estimate the number of people above the age of 18 who are using illegal substances in town.
He obtained 200 random names of statville residents from a computer database and sent his officers to survey these people about substance abuse.
Once the results came in, he calculated the margin of error and got an estimate of the percentage of residents who use illegal substances.
We have to explain what type of statistical study the chief of police use.
In the given question chief of police wants to check number of people who using illegal substances in town above the age of 18. So he take 200 random names from a computer database. That means he take the sample of 200 random people.
As we know that a sample is a selection from a larger population of individuals, things, or things that are used for measurement. To enable us to extrapolate the research sample's findings to the entire population, the sample must be representative of the population.
So we can say that the chief of police use sample statistical study to estimate the number of people above the age of 18 who are using illegal substances in town.
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Answer: Sample Study
No because there’s a great risk of obtaining biased answers.
Please Help. Will mark brainliest for full explanation Image is attached.
Several bakeries in a town were asked the price for different amounts of donuts at their shop. The scatter plot with a line of best fit was created from the data gathered. Part A: Estimate the correlation coefficient. Explain your reasoning for the given value. (4 points)
Part B: How many positive and negative residuals are there? Explain your reasoning. (3 points)
Part C: State the point with the largest absolute value residual and interpret the point in terms of the context of the data. (3 points)
A. The correlation coefficient is of 0.303.
B. There are six positive and four negative.
C. The point with the largest residual is (6,2).
What is correlation coefficient?By choosing the points (x,y) from the scatter plot and entering them into a calculator, the correlation coefficient can be calculated.
A) The coordinates of these points are:
(1,2), (1,3), (2,4), (3,4), (3,5), (4,3), (4,5), (5,5), (5,6), (6,2).
Now, using Pearson correlation we have
X Values:
∑ = 34
Mean = 3.4
∑(X - Mx)² = SSx = 26.4
Y Values:
∑ = 39
Mean = 3.9
∑(Y - My)² = SSy = 16.9
So, when X and Y Combined
N = 10
∑(X - Mx)(Y - My) = 6.4
R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = 6.4 / √((26.4)(16.9))
r= 0.303
Hence, the correlation coefficient is 0.303
B) As, The difference between the observed value and the expected value, or residual, is determined as follows:
There are six positive residuals because the positive residuals are the spots above the line.There are four negative residuals because the negative residuals are the points below the line.C) The largest residual using absolute value is at the point is (6,2).
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-2x+5=23 what is x i dont know how to find it
Answer:
x=-9
Step-by-step explanation:
-2x+5=23
-5 on both sides
-2x=18
/-2 on both sides
x=-9
Find the perimeter of the triangle
HELPPPPPP
Answer: 4x + 29
Step-by-step explanation: add the like terms together.
Answer:
39 inches
Step-by-step explanation:
the triangle has all equal angles
this means it is equilateral and this also means all the sides are equal
so take 2 sides and set them equal to each other to find x
21 - x = x + 5
now solve
add x to both sides
21 = 2x + 5
subtract 5 to both sides
16 = 2x
divide everything by 2
8 = x
now flip it
x = 8
plug this is to one of the equations and multiply that by 3
8 + 5 = 13
13 * 3 = 39
that is the perimeter
Help me, please!!!!!!!!!
Answer:
Step-by-step explanation:
firstv= block second one
secondblock third one
and so on
71.
For what values of x is the above
inequality true? -12>6x
A. x > -6
B. x < -6
C. x < -2
D. x > -2
which are the solutions of x2= -5x +8
Write an expression to represent:
4 times the difference of x and 2.
Answer:
4 times the difference of x and 2 is 4(x-2)
Use the diagram below for the expression x^2+10x+6 to answer the following questions?
What value needs to be added to x^2+10x+6 to complete the square?
Using your answer above rewrite the perfect square trinomial as a squared binomial?
The value needs to be added to x²+10x+6 to complete the square is 19.
What is Perfect square trinomials?Perfect square trinomials come in the form a² + 2ab + b², which is equal to (a + b)².
In the presented trinomial, we can immediately find that a = x, and b² = c,
We know that a = x, and , 2ab = 2bx.
Now, 2bx and 30x are corresponding terms, 2bx = 30x.
Take the coefficient of x = 10
Divide by 2
10/2 =5
Then Square it
5 x 5=25
Add this to make a perfect square trinomial;
x² + 10x + 25
In the given equation we need to add 19 to make the perfect square trinomial; x² + 10x + 25.
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x + y = 5
–3x + 2y = 5
using a z-table like the one found in lectures, or a z-score calculator, approximately what is the probability of randomly drawing a value greater than 3.0 from a z-distribution? question 3 options: .9995
The probability of randomly drawing a value greater than 3.0 from a z-distribution is 0.0013
What does z-score mean?The Z-score, commonly referred to as the standard score, expresses how far away from the mean an object is.
An element that is below the mean is indicated by a z-score that is less than 0.
An element bigger than the mean is indicated by a z-score greater than 0.
An element that is equal to the mean is represented by a z-score of 0.
P(Z > a) = 1-P(Z<a)
Let's say we want to know, for instance, the likelihood that a z-score will be higher than 3.00.
We learn from the table, that
P(Z < 3.00) = 0.9987.
Therefore,
P(Z > 3.00) = 1 - P(Z < 3.00)
= 1 - 0.9987
= 0.0013.
Therefore, the probability of randomly drawing a value greater than 3.0 from a z-distribution is 0.0013
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A basket contains 3 red apples and 4 yellow apples. A sample of 3 apples is drawn. Find the probability that 2
apples are yellow and 1 apple is red.
A.6/35
B.9/35
C.18/36
D.None of the above
The probability of getting 2 yellow apples and 1 red apple is 18/35 which is the D option.
This is a question of permutations and combinations.
Given that:-
Number of yellow apples = 4
Number of red apples = 2
We have to find the probability of getting 2 red apples and 1 yellow apple.
Number of ways of getting 2 yellow apples = [tex]^4C_2=6[/tex]
Number of ways of getting 1 red apple = [tex]^3C_1=3[/tex]
Total number of ways of finding 3 apples from 7 apples = [tex]^7C_3=35[/tex]
Hence,
Probability of getting 2 yellow apples and 1 red apple = 6*3/35 = 18/35.
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PLEASEEE HELPPP
Find ALL missing angles.
will give brainly
Step-by-step explanation:
E=29
G = 180-29-107= 44
F = 180-29-29 = 122
H = 180-29-29 = 122
S = 180-107 = 73
M = 107
C = 73
D = 107
T = 73
B = 107
N = 73
K = 44
A = 360-44-44-107 = 165
O = 180-44 = 136
P = 44
J= 136
is the number 1.41421356 rational
The number 1.41421356 is not a rational number.
What is a rational number?
A number that can be expressed as a ratio is called a rational number. This indicates that it may be expressed as a fraction, where the numerator (the number on top) and denominator (the number on the bottom) are both whole numbers.
The given number is 1.41421356
The square root of 2 has the approximate value of 1.41421356
The number is non-terminating and non-repeating decimals.
That's why the given number is not a rational number.
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Two cars are traveling in the same direction. the first car is going 40 mi/h and the second car is going 55 mi/h. the first car has a 120 mile head start. which equation could you solve to find how many hours it will take for the second car to catch up to the first car?
The equation that could solve how many hours it will take for the second car to catch up to the first car is 55t = 120 + 40t.
An algebraic expression is the combination of numbers and variables in expressing and solving a particular mathematical question. An equation is the equality of expressions.
If the first car is going 40 mi/h, and has a 120 mile head start, then the distance it covers at time = t is,
d1 = 120 + 40t
If the second car is going 55 mi/h, you want to know the amount of time it will catch the first car, then, their distance must be equal.
d2 = 55t
d1 = d2
120 + 40t = 55t
Simplify the equation of t.
55t - 40t = 120
15t = 120
t = 8
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help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Maximum height of 32 feet after 1.25s
Step-by-step explanation:
HURRY ASAP!
What is six-eighths times five?
Your answer should be in mixed number form.
A. one and ten-thirtieths
B. three and six-eighths
C. six and four-sixths
D. nine and three-fifths
Answer:
B: [tex]3\frac{6}{8}[/tex]
Step-by-step explanation:
we multiply numerator by numerator and denominator by denominator
6/8x5/1
30/8
3 6/8
Hopes this helps please mark brainliest
PLEASE HELP plsssssss
A) SAS
B) ASA
C) AAS
D) SSS
E) there is not enough information to guarantee congruent triangles
I (O,6), J (-1,1)
Help me find the slope please
Answer:
The slope is 5.
Step-by-step explanation:
[tex]m = \frac{1 - 6}{ - 1 - 0} = \frac{ - 5}{ - 1} = 5[/tex]
suppose a population has a mean of 7 for some characteristic of interest and a standard deviation of 9.6. a sample is drawn from this population of size 64. expressing your answer to one decimal place, what is the standard error of the mean?
The standard error with "mean of 7 for some characteristic of interest and a standard deviation of 9.6 and a sample is drawn from this population of size 64" is 1.2.
What is standard error?Standard deviation of the theoretical distribution of a large population of such estimates is equal to the standard error, which is a measure of an estimate's statistical accuracy. The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.
Here,
Sample size=64
Standard deviation= 9.6
Error=Standard deviation/Sample size
=σ/√n
=9.6/√64
=9.6/8
=1.2
The sample is taken from this population of 64 people, with a mean of 7 for some relevant characteristics, a standard deviation of 9.6, and a standard error of 1.2.
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Consider the quadratic equation.
X^2 -5x=6
If a student wants to factor this equation by the method of completing the square, why term should the student add to both sides as the first steps?
In completing the square method, considering the equation X^2 - 5x = 6 the student should add 25 / 4 to both sides of the equation
How to know term should the student add to both sidesThe quadratic equation is an equation of the form
ax^2 + bx + c
The completing the square method is on of the methods of solving equations of the form above
The factor to be added on the both sides of the equation while using the completing the square method is
(b / 2a)^2
compared to the equation in the problem X^2 - 5x = 6 it is
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help with this math problem
The solution of the linear equation:
(2x + 6)/5 = 4x - 3
is x = 7/6
How to solve the equation?
Here we have the following equation:
(2x + 6)/5 = 4x - 3
To solve this, we need to isolate x in one of the sides of the equation, we can start by multiplying both sides by 5.
2x + 6 = 5*(4x - 3)
Expanding the right side we get:
2x + 6 = 20x - 15
Now you can see that this is a simple linear equation, now we need to group like terms:
6 + 15 = 20x - 2x
21 = 18x
Now we can divide both sides by 18 to get:
21/18 = x
Finally, if we divide both numerator and denominator of the fraction by 3, we get:
21/3 = 7
18/3 = 6
Then 21/18 = 7/6
Finally, we conclude that the solution is:
x = 7/6
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