Answer:
D
Step-by-step explanation:
Since it’s asking for numbers between -1 and 8 the equation cannot contain a equal symbol therefore it must be D
How would I solve this? I’m so confused
During a special at the school book fair, each book will cost the same amount of money. Nelly can buy 4 books for $10.95. How much money will she need to buy 6 books?
Answer:
Nelly will need $16.43.
Step-by-step explanation:
First, you want to find out how much 1 book costs.
Take 10.95 and divide it by 4.
10.95/4=$2.73
Take the 2.73 and multiply it by 6.
6x2.73=16.425
=$16.43
Answer:
16.43 i think
Step-by-step explanation:
so first you divide 10.95 by 4 and get 2.74 so then you times it by 6 and get 16.43
suppose that a random sample of size 36 is to be selected from a population with mean 44 and standard deviation 8. what is the approximate probability that x will be more than .5 away from the population mean?
There is a 75.40% chance that the sample mean X will be more than 0.5 away from the population mean μ.
Let X be the random variable representing the sample mean of a random sample of size 36 selected from a population with mean μ=44 and standard deviation σ=8.
The Central Limit Theorem (CLT) states that, under certain conditions, the distribution of the sample mean X can be approximated by a normal distribution with mean μ and standard deviation σ/√(n), where n is the sample size. Since the sample size is 36, we can use this approximation.
The probability that X is more than 0.5 away from the population mean can be calculated as follows:
P(|X-μ| > 0.5) = P((X-μ)/ (σ/√(n)) > (0.5) / (σ/√(n))) + P((X-μ)/ (σ/√(n)) < (-0.5) / (σ/√(n)))
Using the standard normal distribution table, we can find the corresponding probabilities for each term on the right-hand side of the equation. We have:
P(Z > 0.3125) + P(Z < -0.3125)
where Z is a standard normal random variable with mean 0 and standard deviation 1.
Using the standard normal distribution table, we can find that P(Z > 0.3125) = 0.3770 and P(Z < -0.3125) = 0.3770.
Therefore, the approximate probability that X will be more than 0.5 away from the population mean is:
P(|X-μ| > 0.5) = 0.3770 + 0.3770 = 0.7540
In terms of percentage, we can rewrite it as,
P(|X-μ| > 0.5) = 0.7540*100 = 75.40%
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Зху(5х + 7y)
multiply
Answer:
15x²y + 21xy²
Step-by-step explanation:
Given
3xy(5x + 7y) ← distribute by 3xy
= 15x²y + 21xy²
Answer:
15x^2+21x^21x
is your ans I hope it helps mate
#Captainpower:)
have a great day
The points (15, 18) and (35,42) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line. The slope is
Answer:
6/5
Step-by-step explanation:
(42-18) / (35 - 15) = 24 / 20 = 6 / 5
whats nine plus ten if anyone knows this meme put the answer in
Answer:
jnoioikop
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Hahahahahahhahahahhahaha
17/2 as a mixed fraction
Answer:
8 1/2
I assumed you meant a mixed number.
Answer:
8 1/2
Step-by-step explanation:
yw :) I hope this helps
Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.
Answer:
y = 0.8x + 10
Step-by-step explanation:
From the given graph,
Graphed line passes through two points (0, 10) and (50, 50)
Let the equation of the given line is,
y = mx + b
Where m = slope of the line
b = y-intercept
Since slope 'm' = \(\frac{y_2-y_1}{x_2-x_1}\)
m = \(\frac{50-10}{50-0}\)
m = \(\frac{4}{5}\) = 0.8
y-intercept of the line 'b' = 10
Therefore, equation of the line of best fit will be,
y = 0.8x + 10
an online company lets you download songs for 1$ each after you have payed a 5$ membership fee the maximum amount of songs you can download in a month is 100 how much do you pay
Answer:
$105
Step-by-step explanation:
5 + 1 (100)
5 + 100
105
a) Copy and complete the table below for the graph of
y = 2z.
I
Y
-2 -1
-4-2
-2
0
A
3
2
11
b) The lines y = x and y = 2x are shown on the axis
below.
Write down one similarity and one difference between
these lines.
43217
-2
--3-
124
5
2
B
y=2z_y=z
The table for the graph is
x -2 -1 0 1 2
y -4 -2 0 2 4
The similarity is: Both lines have positive slopes
The difference is: Both lines have different slopes
Completing the table for the graph
From the question, we have the following parameters that can be used in our computation:
y = 2x
The missing y values are at x = 0 and x = 2
So, we have
y = 2 * 0 = 0
y = 2 * 2 = 4
The similarity and difference between the linesWe have
y = x
y = 2x
From the above, the similarity is:
Both lines have positive slopes
And, we have the difference to be
Both lines have different slopes
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Can someone help like what is this, how do you even do this
Answer:
2,100,000
Step-by-step explanation:
1,500,000 x 0.40 = 600,000
1,500,000 + 600,000 = 2,100,000
A painting measures 1 meter by 2 meters. A frame shop charges $30.00 per meter for a wooden frame. How much would it cost to buy a frame for the painting?
Answer:
$180.00
Step-by-step explanation:
The painting is rectangular and it measures 1 meter by 2 meters. The frame shop charges $30.00 per meter for a wooden frame.
To find the cost, we need to find the perimeter of the painting and then multiply it by the cost of a wooden frame per meter.
The perimeter of a rectangle is:
P = 2(L + B)
P = 2(1 + 2) = 2 * 3 = 6 m
The cost of the frame is therefore:
6 * 30 = $180.00
At middle avenue school, 1/30 of the students are on the track team. The track coach offered to buy pizza or subs for everyone on the team. Of the students for whom the coach bought food, 3/5 ordered pizza. What fraction of the students at middle avenue school are pizza?
Answer:
1/50
Step-by-step explanation:
1/30 * 3/5 = 3/150
Reduce
1/50
Answer:
2/5
Step-by-step explanation:
7. At Winco, Faith can buy 3 candy bars for $0.99.
At Food for Less, she can buy 4 candy bars for
$1.25. Which store has the better buy? Explain why.
Answer:
Step-by-step explanation:
If Winco buys 3 candies for $0.99 and each candy costs $0.33
If he buys 4 candies at $1.25 then each candy costs $0.31
Therefore the latter is a better choice.
One of the events in the Winter Olympics is the Men's 500-meter Speed Skating.
The times for this event are shown below.
Find the mean,mode,and median time
Answer:
Mean: \(\bar x = 40.61\)
\(Median =40.2\)
\(Mode = 43.4\)
Step-by-step explanation:
Given
See attachment for data
Solving (a): The mean
Mean is calculated as:
\(\bar x = \frac{\sum x}{n}\)
From the attached:
\(n = 14\)
So, the mean is:
\(\bar x = \frac{43.4+43.4+43.4+43.1+43.2+40.2+40.2+40.1+40.3+39.44+39.17+38.03+38.19+36.45}{14}\)
\(\bar x = \frac{568.58}{14}\)
\(\bar x = 40.61\)
Solving (b): The median
\(n = 14\); this is an even number. So, the median is:
\(Median = \frac{1}{2}(n+1)\)
\(Median = \frac{1}{2}(14+1)\)
\(Median = \frac{1}{2}(15)\)
\(Median = 7.5th\)
This implies that the median is the average of the 7th and 8th item.
Next, is to order the data (in ascending order): 36.45, 38.03, 38.19, 39.17, 39.44, 40.1, 40.2, 40.2, 40.3, 43.1, 43.2, 43.4, 43.4, 43.4.
The 7th and 8th items are: 40.2 and 40.2
The median is:
\(Median = \frac{1}{2}(40.2 + 40.2)\)
\(Median = \frac{1}{2}*80.4\)
\(Median =40.2\)
Solving (c): The mode
43.4 has the highest number of occurrence.
So:
\(Mode = 43.4\)
Pls help 15 points going out
will give brainliest
an implicit Euler's method with an integration step of 0.2 to find y(0.8) if y(x) dy satisfies the initial value problem: 200(cos(x) - y) y(0) = 1 da Knowing the exact solution of the ode as: y(x) = cos(x) + 0.005 sin(2) - e-2002, calculate the true error and the number of correct significant digits in your solution.
The given differential equation is y'(x) = 1/200(cos(x) - y) y(0)
Using implicit Euler's method, we get:
y(i+1) = y(i) + hf(x(i+1), y(i+1))
Where,f(x, y) = 1/200(cos(x) - y)
At x = 0, y = y(0)
Using h = 0.2, we have,
x(1) = x(0) + h
= 0 + 0.2
= 0.2
y(1) = y(0) + h f(x(1), y(1))
Substituting the values, we get;
y(1) = y(0) + 0.2 f(x(1), y(1))
y(1) = y(0) + 0.2 (1/200) (cos(x(1)) - y(1)) y(0)
By simplifying and substituting the values, we get;
y(1) = 0.9917217
Now, x(2) = x(1) + h
= 0.2 + 0.2
= 0.4
Similarly, we can calculate y(2), y(3), y(4) and y(5) as given below;
y(2) = 0.9858992
y(3) = 0.9801913
y(4) = 0.9745986
y(5) = 0.9691222
Now, we have to find y(0.8).
Since 0.8 lies between 0.6 and 1, we can use the following formula to calculate y(0.8).
y(0.8) = y(0.6) + [(0.8 - 0.6)/(1 - 0.6)] (y(1) - y(0.6))
Substituting the values, we get;
y(0.8) = 0.9758693
The exact solution is given by;
y(x) = cos(x) + 0.005 sin(2x) - e^(-200x^2)
At x = 0.8, we have;
y(0.8) = cos(0.8) + 0.005 sin(1.6) - e^(-200(0.8)^2)
y(0.8) = 0.9745232
Therefore, the true error is given by;
True error = y(exact) - y(numerical)
True error = 0.9745232 - 0.9758693
True error = -0.0013461
Now, the number of correct significant digits in the solution can be calculated as follows.
The number of correct significant digits = -(log(abs(True error))/log(10))
A number of correct significant digits = -(log(abs(-0.0013461))/log(10))
Number of correct significant digits = 2
Therefore, the true error is -0.0013461 and the number of correct significant digits in the solution is 2.
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23. What is the measure of x in the figure below?
Answer:
a straight lines angle is 180 and 180-65=115
Step-by-step explanation:
115
Answer:
x+65=180
x=180-65
x=125
Label each section of the box plot. Can someone help please?
Answer:
In order from left to right:
Minimum, Q1, Median, Q3, Maximum
use summation notation to express each of the following calculations: a. add the score and then square the sum. b. square each score and then add the squared values. c. subtract 2 points from each score and then add the resulting values. d. subtract 1 point from each score and square the resulting values. then add the squared values.
The summation notation to express each of the following calculations:
a) (∑ \(x_i\) )^2
b) ∑ \(x_i^2\)
c) ∑ \(x_i\) - 2
d) ∑(\(x_i\) - 1)^2
Here we have to find the summation notation to express each calculations
Let the scores be denoted by the sequence \(x_i\) for i = 1, 2, ..., n
Part a
Add the score and then square the sum
(∑ \(x_i\) )^2
Part b
Square each score and then add the squared values
∑ \(x_i^2\)
Part c
Subtract 2 points from each score and then add the resulting values.
∑ \(x_i\) - 2
Part d
Subtract 1 point from each score and square the resulting values. then add the squared values.
∑(\(x_i\) - 1)^2
Therefore, the summation notation of each calculation has been found
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20x – 10 + 6x - 4
Make the equation smaller
Answer:
simplify
Step-by-step explanation:
20x-10+6x+4
20x+6x
26x-14
also**
Download the app MathPapa, it really helps me and you can simplify equations.
what is the distance along the unit circle between any two successive 8th roots of 1?
a. π/8
b. π/6
c. π/4
d. π/2
The distance along the unit circle between any two successive 8th roots of 1 is c) π/4.
To find the distance along the unit circle between any two successive 8th roots of 1, we can consider the concept of angular displacement.
Each 8th root of 1 represents a point on the unit circle that is evenly spaced by an angle of 2π/8 = π/4 radians.
Starting from the point corresponding to 1 on the unit circle, we can move π/4 radians to reach the first 8th root of 1. Moving π/4 radians further will bring us to the second 8th root of 1, and so on.
Since we are moving by π/4 radians for each successive 8th root of 1, the distance between any two successive 8th roots of 1 is π/4 radians.
Therefore, the correct answer is option c. π/4.
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PLEASE HELP!! Due today!! - The graph below represents the height of a football pass, in feet, x seconds after the ball is thrown. Which of the following best describes the interpretation of f(2)?
Someone said it was d..... but I think it’s either b or c .... so now I’m confused :(
If someone can help me they will get 20 points!! You may get brainliest!! Pls help!
(Attached are the graph and answer choices)
Answer:
The answer is B
For each of these lists of integers, provide a simple formula or rule that generates the terms of an integer sequence that begins with the given list. Assuming that your formula or rule is correct, determine the next three terms of the sequence. (a) 3,6,11,18,27,38,51,66,83,102,… (b) 7,11,15,19,23,27,31,35,39,43,… (c) 1,10,11,100,101,110,111,1000,1001,1010,1011,… (d) 1,2,2,2,3,3,3,3,3,5,5,5,5,5,5,5,… (e) 0,2,8,26,80,242,728,2186,6560,19682,… (f) 1,3,15,105,945,10395,135135,2027025,34459425,… (g) 1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,… (h) 2,4,16,256,65536,4294967296,…
The nth term of this sequence will be 2 raised to the power of 2 raised to the power of n - 2.
(a) Here, the sequence is formed as follows;
adding 3 to the previous term of the sequence and then the term number, n.
So, the nth term of this sequence will be n² + 2n.
Thus the next three terms are 123, 146, 171.
(b) Here, the sequence is formed as follows;
adding 4 to the previous term of the sequence.
So, the nth term of this sequence will be 4(n - 1) + 7. Thus the next three terms are 47, 51, 55.
(c) Here, the sequence is formed as follows;
For each integer in the list, convert it to binary. Drop the first digit from the first integer (since it is 1), then concatenate the resulting strings.
So, the nth term of this sequence will be the integer whose binary representation is obtained by concatenating the binary representation of the previous integer in the sequence with that of 1. Thus the next three terms are 1100, 1101, 1110.
(d) Here, the sequence is formed as follows;
the kth term of the sequence is the smallest prime number that has not yet appeared in the sequence, and then this prime number is repeated a number of times equal to the kth term of the sequence.
So, the nth term of this sequence will be the smallest prime number that has not yet appeared in the sequence for n - 1 times, repeated n - 1 times. Thus the next three terms are 7, 7, 7.
(e) Here, the sequence is formed as follows;
the kth term of the sequence is 2^(k-1) - 1.
So, the nth term of this sequence will be 3^n - 1.
Thus the next three terms are 59048, 177146, 531442.
(f) Here, the sequence is formed as follows;
the kth term of the sequence is the product of the first k odd primes.
So, the nth term of this sequence will be the product of the first n odd primes.
Thus the next three terms are 654729075, 12300270015015, 32589158477190044730.
(g) Here, the sequence is formed as follows;
the kth term of the sequence is the parity of the sum of the previous k terms.
So, the nth term of this sequence will be 1 if the number of 1s among the first n terms of the sequence is odd, and 0 otherwise. Thus the next three terms are 1, 1, 1.
(h) Here, the sequence is formed as follows;
the kth term of the sequence is 2 raised to the power of the kth term of the sequence that immediately precedes it.
So, the nth term of this sequence will be 2 raised to the power of 2 raised to the power of n - 2.
Thus the next three terms are 18446744073709551616, 3.402823669209385e+38, 1.1579208923731617e+77.
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please help meeeeeee
Answer:
Step-by-step explanation:
The square root of a number cannot be negative. So
\(x-1\geq 0\)
\(x\geq 1\)
So the solution is
\(1\leq x\leq\) ∞
Use Inverse Laplace Transformation to convert s-domain to time-domain function for the following functions
a)
F(s) = \(\large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)
\(f(t)=\) ....
b)
F(s) = \(\large{\frac{s-1}{s^2-3s+2}}\)
\(f(t)=\) .....
c)
F(s) = \(\large{\frac{s-1}{s^2+s-2}}\)
\(f(t)=\) ....
d)
F(s) = \(\large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)
\(f(t)=\) ....
The inverse Laplace transform of F(s) is:
\(f(t) = e^(-t)\)
How did we get the value?To find the inverse Laplace transform of each function, we need to express them in terms of known Laplace transforms. Here are the solutions for each function:
a)
\(F(s) = \large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)
To find the inverse Laplace transform, we first need to factor the denominator of F(s). The denominator factors as (s - 3)². Therefore, we can rewrite F(s) as:
\(F(s) = \large{\frac{2e^{-0.5s}}{(s-3)^2}}\)
Now, we know that the Laplace transform of eᵃᵗ is 1/(s - a). Therefore, the inverse Laplace transform of
\(e^(-0.5s) \: is \: e^(0.5t).\)
Applying this, we get:
\(f(t) = 2e^(0.5t) * t \\
b) F(s) = \large{\frac{s-1}{s^2-3s+2}}\)
We can factor the denominator of F(s) as (s - 1)(s - 2). Now, we rewrite F(s) as:
\(F(s) = \large{\frac{s-1}{(s-1)(s-2)}}\)
Simplifying, we have:
\(F(s) = \large{\frac{1}{s-2}}\)
The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:
\(f(t) = e^(2t) \\
c) F(s) = \large{\frac{s-1}{s^2+s-2}}
\)
We factor the denominator of F(s) as (s - 1)(s + 2). The expression becomes:
\(F(s) = \large{\frac{s-1}{(s-1)(s+2)}}\)
Canceling out the (s - 1) terms, we have:
\(F(s) = \large{\frac{1}{s+2}}\)
The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:
\(f(t) = e^(-2t) \\
d) F(s) = \large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)
We can factor the denominator of F(s) as (s - 1)(s + 2). Now, we rewrite F(s) as:
\(F(s) = \large{\frac{e^{-s}(s-1)}{(s-1)(s+2)}}\)
Canceling out the (s - 1) terms, we have:
\(F(s) = \large{\frac{e^{-s}}{s+2}}\)
The Laplace transform of
\(e^(-s) \: is \: 1/(s + 1).\)
Therefore, the inverse Laplace transform of F(s) is:
\(f(t) = e^(-t)\)
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Identify any x-values at which the absolute value function f(x) = 2|x + 4], is not continuous: x = not differentiable: x = (Enter none if there are no x-values that apply; enter x-values as a comma-se
The absolute value function f(x) = 2|x + 4| is continuous for all x-values. However, it is not differentiable at x = -4.
The absolute value function f(x) = |x| is defined to be the distance of x from zero on the number line. In this case, we have f(x) = 2|x + 4|, where the entire function is scaled by a factor of 2.The absolute value function is continuous for all real values of x. This means that there are no x-values at which the function has any "breaks" or "holes" in its graph. It smoothly extends across the entire real number line.
However, the absolute value function is not differentiable at points where it has a sharp corner or a "kink." In this case, the absolute value function f(x) = 2|x + 4| has a kink at x = -4. At this point, the function changes its slope abruptly, and thus, it is not differentiable.In summary, the absolute value function f(x) = 2|x + 4| is continuous for all x-values but not differentiable at x = -4. There are no other x-values where the function is discontinuous or not differentiable.
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Can someone help me with this please and thank you
Answer: single goes on 45 i forgot the other one
Step-by-step explanation:
5(x+6)+3x=2(1+4x)+1
I need help solving for x (9th grade pre ap algebra)
Answer:
-29
Step-by-step explanation:
5x +30 +3x =2+8x+1
x= -29
The points on this graph represent a relationship between x- and y-values. Which statement about the relationship is true?
The statement about the relationship of the data in the table is indicated in the option;
It can not be proportional because the straight line through the points does not go through the originWhat is a proportional relationship?A proportional relationship is one in which one variable (the output variable) is a constant multiple of the input variable, such that a point on the graph of ordered pairs of variable is the point (0, 0), which is the origin.
The points on the graph are; (1, 3.5), (2, 4.5), (3, 5,5)
The slope of the graph is therefore; (4.5 - 3.5)/(2 - 1) = 1
The equation in point-slope form is therefore; y - 3.5 = x - 1
y = x - 1 + 3.5 = x + 2.5
y = x + 2.5
The equation is a linear relationship. The equation is in the form; y = m·x + c, with the slope m = 1 and a y-intercept, c = 2.5
The y-intercept is 2,5, therefore, the graph does not pass through the origin.
The relationship of the line passing through the points, is a linear relationship. The line passing through the points does not pass through the origin, therefore the relationship is not a proportional relationship
The correct option is therefore; It cannot be a proportional because the straight line through the points does not go through the origin.
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