Answers
The correct statement regarding the patterns is given as follows:
Every term in Pattern B is 1/4 the corresponding term in Pattern A.
What is an arithmetic sequence?An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant and is called common difference d.
The general term of an arithmetic sequence is given by the explicit formula presented as follows:
\(a_n = a_1 + (n - 1)d\)
Each pattern has a first term of zero, while the first pattern has a common difference of 16 and the second pattern has a common difference of 4, hence the equations are given as follows:
A(n) = 16(n - 1).B(n) = 4(n - 1).The ratio is given as follows:
B(n)/A(n) = 4(n - 1)/16(n - 1) = 1/4.
Hence the correct option is given by the first option.
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Related Questions
Picky Painters charges a flat fee of $300 plus $20 per hour for labor. Color Creators charges a flat fee of $500 plus $12 per hour for labor. How many hours until the charges for each company will be equal and what is that charge? Use decimals, if needed.
_______ hours
Charge= ________
Answers
Answer:
25 hours, charge = 800
Step-by-step explanation:
300 + 20x = 500 + 12x
8x = 200
x = 25
300 + 20(25)
300 + 500 = 800
500 + 12(25)
500 + 300 = 800
Ale-8 puts 400 mL of pop in a can. How many drops is this?
Answers
Answer:
i think its 2000 mqybe not tho
Step-by-step explanation:
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Answers
Answer:5a^11b^9
Step-by-step explanation:
10a^4b^6 /2a^7b^3
5a^4b^6a^7b^3
5a^11b^9
A sample of size n=92 is drawn from a normal population whose standard deviation is σ=6.5. The sample mean is
x
ˉ
=46.17. Parte: Part 1 of 2 (a) Construct un 80% confidence interval for μ. Round the answer to at least two decimal places. An 80% confidence interval for the mean is
Answers
We are 80% confident that the true population mean falls within this interval based on the given sample data. To construct an 80% confidence interval for the population mean (μ), we can use the formula:
Confidence Interval = x ± Z * (σ/√n) Where:
x is the sample mean (46.17)
Z is the Z-score corresponding to the desired confidence level (80% confidence level corresponds to a Z-score of 1.28)
σ is the population standard deviation (6.5)
n is the sample size (92)
Substituting the given values into the formula, we get:
Confidence Interval = 46.17 ± 1.28 * (6.5/√92)
Calculating the expression inside the parentheses first:
6.5/√92 ≈ 0.679. Then, plugging it back into the formula:
Confidence Interval = 46.17 ± 1.28 * 0.679
Calculating the product of 1.28 and 0.679: 1.28 * 0.679 ≈ 0.868
Finally, the confidence interval is: Confidence Interval = 46.17 ± 0.868
Rounding to two decimal places: Confidence Interval ≈ (45.30, 47.04)
Therefore, the 80% confidence interval for the population mean (μ) is approximately (45.30, 47.04).
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find parametric equations for the line segment from (-3,18,31) to (11,-4,48).
Answers
The parametric equations for the line segment from (-3, 18, 31) to (11, -4, 48) can be expressed as follows:
x(t) = -3 + (11 - (-3))t
y(t) = 18 + (-4 - 18)t
z(t) = 31 + (48 - 31)t
In these equations, t represents the parameter that varies along the line segment. By plugging in different values of t, we can obtain corresponding points on the line segment.
The x(t) equation represents the x-coordinate of the line segment, where -3 is the initial x-coordinate and (11 - (-3)) represents the change in the x-coordinate over the segment. By multiplying this change by t, we can determine the specific x-coordinate at any point along the line segment.
Similarly, the y(t) equation represents the y-coordinate, where 18 is the initial y-coordinate and (-4 - 18) represents the change in the y-coordinate. Multiplying this change by t gives us the y-coordinate at any point.
Lastly, the z(t) equation represents the z-coordinate, where 31 is the initial z-coordinate and (48 - 31) represents the change in the z-coordinate. Multiplying this change by t allows us to determine the z-coordinate at any point along the line segment.
By using these parametric equations, we can generate points that lie on the line segment connecting the given two points and describe the entire line segment in three-dimensional space.
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suppose you were to collect data for the pair of given variables in order to make a scatterplot. for the variables time spent on homework before an exam and the exam grade, which is more naturally the response variable and which is the explanatory variable?
Answers
The time spent on homework will be naturally more an explanatory variable and exam grade a response variable.
The Linear equation for a scatter plot y = mx+b has two variables i.e., a Dependent Variable [Y] and an Independent variable [X] .
A student who spends more time on his work and do it nicely will automatically get good exam grade . On the other side, a student who did'nt dedicate much time to the homework and carelessly does it , will obviously score a low exam grade.We can see that the exam grade is dependent on the time spent on the homework which naturally makes exam grade a response variable and time spent on home a independent thus an explanatory variable.
Hence, the time spent on homework will be naturally more an explanatory variable and exam grade a response variable.
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Find the mean of the following numbers:
12
1
10
9
3
4
9
7
9
Answers
Answer:
7.11
Step-by-step explanation:
You will add all of those numbers and divide them by the amount of numbers you added. And I rounded the answer to 2 decimal places, seeing that it is a recurring decimal.
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 90 9090 kilograms and gained weight at a constant rate. After 8 88 months, he weighed 138 138138 kilograms.
Answers
THIS IS THE COMPLETE QUESTION BELOW;
young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He started at 909090 kilograms and gained weight at a constant rate. After 888 months, he weighed 138138138 kilograms. Let W(t)W(t)W, left parenthesis, t, right parenthesis denote the sumo wrestler's weight WWW (measured in kilograms) as a function of time ttt (measured in months). Write the function's formula.
Answer:
W=6t+90
Step-by-step explanation:
We know that a linear equation in slope takes the form
y= mx+ c
where
m is the slope
c is the y-coordinate of the y-intercept
Let us denote W as the sumo weight in kg then
t as the time in months
Then forming a linear equation from this knowing t is a dependent variable then
W(t)= mt+90
But here we know that is our slope, W was given as 138kg and t is 8 months.
We we substitute this values in the equation we have
138= 8m+90
8m= 138-90
8m=48
m=6kg/month
Therefore, the function formula is W(t)= 6t+90
Quadrilateral ABCD is a rectangle. FindBD ifAO = 6x - 22 and OC = 2x + 6.
40 units
20 units
7 units
10 units
Answers
6x-22=2x+6
4x-22=6
4x=28
X=7
So plug 7 in instead of x for both AO and OC
6(7)-22=20
2(7)+6=20
20+20=40
And since it’s the same answer for both sides the answer is 40
6/8 - 2/16a
How would I work this out?
Answers
Answer:
Answer
Step-by-step explanation:
here
Answer:
3/4 - a/8
Step-by-step explanation:
Hey please help me this is an Angle sum theorem!!!
Answers
Answer:
900° and 1260°
Step-by-step explanation:
The sum of the interior angles of a polygon is calculated as
sum = 180° (n - 2) ← n is the number of sides
(2)
Here n = 7 , then
sum = 180° × 5 = 900°
(3)
Here n = 9 , then
sum = 180° × 7 = 1260°
suppose your friends have the following ice cream flavor preferences: 70% of your friends like chocolate (c). the remaining do not like chocolate. 40% of your friends like sprinkles (s) topping. the remaining do not like sprinkles. 25% of your friends who like chocolate (c) also like sprinkles (s). of the friends who like sprinkles, what proportion of this group likes chocolate? (note: some answers are rounded to two decimal places.)
Answers
We can start by creating a table to organize the information:
Likes Chocolate (c) Does Not Like Chocolate (~c) Total
Likes Sprinkles (s) 0.25 0.40
Does Not Like Sprinkles (~s) 0.60
Total 0.70 0.30 1.00
We are given that 40% of friends like sprinkles, so we can fill in that cell of the table. We are also given that 25% of friends who like chocolate also like sprinkles, so we can fill in the cell for likes chocolate and likes sprinkles as 0.25.
To find the proportion of friends who like sprinkles and chocolate, we need to divide the number of friends who like both by the total number of friends who like sprinkles:
proportion = likes chocolate and sprinkles / likes sprinkles
proportion = 0.25 / 0.40
proportion = 0.625
So, approximately 62.5% of friends who like sprinkles also like chocolate.
Tell whether the two quantities vary directly. Explain your reasoning.
the number of correct answers on a test and the score on the test
Choose the correct answer below.
OA. No, they do not vary directly. When one quantity increases, the other quantity does not increase.
OB. No, they do not vary directly. When one quantity increases, the other quantity also increases.
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
OD. Yes, they vary directly. When one quantity increases, the other quantity does not increase.
Answers
The correct statement regarding the variation of the two measures is given as follows:
C. Yes, they vary directly. When one quantity increases, the other quantity also increases.
What are positive and negative association?Two variables have a positive association when the values of one variable increase as the values of the other variable increase, that is, the quantities vary directly.Two variables have a negative association when the values of one variable decrease as the values of the other variable increase, that is, the quantities vary inversely.For this problem, we have that when the number of correct answers on the test increases, the score also does, hence the two quantities vary directly, and option c is the correct option for this problem.
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The center of a circle is placed on the origin of a coordinate plane as shown below. The radius of the circle is 10 units. If the point (-6, y) lies on the circle, what is y?
Answers
Answer:
(-6, 8)
Step-by-step explanation:
Since the radius is 10 units and the center is on the origin of the circle, the distance from the origin to the point (-6, y) must be 10.
We can use the distance formula given by:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2\)
We will let the point (-6, y) be (x₂, y₂) and the origin point (0, 0) be (x₁, y₁). The distance is 10. Substitute:
\(10=\sqrt{((-6)-(0))^2+((y)-(0))^2}\)
Simplify:
\(10=\sqrt{(-6)^2+(y)^2}\)
Square both sides and simplify:
\(100=36+y^2\)
Solve for y:
\(y^2=64\)
Take the square root of both sides:
\(y=\pm\sqrt{64}=\pm 8\)
Since our point is in QII, y must be positive. Hence, we will use the positive case. So, y = 8.
Our point is (-6, 8).
Using Z-transform to find the response h [n] of the system y[n+ 2] – 2y[n + 1] + 2y [n] = x [n] when all the initial conditions are zero. Answer with an integer the value of h [n] when n =14.
Answers
The integer value of h[14] is 0 (since 1/182 is less than 0.5).
To find the response h[n] of the given system using Z-transform, we can first take the Z-transform of the given difference equation and solve for H(z), which is the Z-transform of h[n].
Taking the Z-transform of the given equation, we get:
Y(z)(z² - 2z + 2) = X(z)
Solving for H(z), we get:
H(z) = X(z) / (z² - 2z + 2)
Now, to find the value of h[n] when n = 14, we can use the inverse Z-transform. However, since the initial conditions are all zero, we can simply evaluate the expression for h[n] as:
h[14] = 1 / (14² - 2(14) + 2)
Simplifying this expression, we get:
h[14] = 1 / 182
The given difference equation represents a second-order linear time-invariant system, which can be solved using Z-transform. By taking the Z-transform of the given equation and solving for H(z), we obtain the Z-transform of the system's impulse response, which is h[n].
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1. A number that counts something is an exact number. When you say 4 mugs, 5 books, or 2 watches, you are using exact numbers. However, when you use a rule to measure the height of your friend as 155.2 cm, you obtain a measured number. Why are some numbers called exact while other numbers are called measured
Answers
Some numbers are called exact because they represent a specific count or quantity, while other numbers are called measured because they are obtained through a process of measurement.
When we use numbers to count or quantify something, such as saying "4 mugs," "5 books," or "2 watches," we are referring to exact numbers. These numbers are precise and represent an actual count or quantity. For example, if you have four mugs in front of you, you can count them individually and confirm that there are indeed four.
On the other hand, when we use numbers obtained through measurement, they are called measured numbers. Measurement involves using a standard unit of measurement to determine a specific quantity, such as the height of a person. In this case, we might use a ruler or tape measure and measure the height as 155.2 cm. This number is not exact because it represents a measurement that can have some degree of uncertainty or variability.
Measured numbers often involve some level of estimation or rounding due to limitations in measurement tools or the inherent variability in the object being measured. For instance, when measuring the height of a person, it can be challenging to get an exact measurement due to factors like posture, slight variations in height across different parts of the body, or limitations in the measurement device.
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pls answer. On a coordinate plane, a line with a 90-degree angle crosses the x-axis at (negative 4, 0), turns at (negative 1, 3), crosses the y-axis at (0, 2) and the x-axis at (2, 0). What is the range of the function on the graph? all real numbers all real numbers less than or equal to –1 all real numbers less than or equal to 3 all real numbers less than or equal to 0
Answers
Range: All real numbers greater than or equal to 3. The Option C.
What is the range of the function on the graph formed by the line?To find the range of the function, we need to determine the set of all possible y-values that the function takes.
Since the line crosses the y-axis at (0, 2), we know that the function's range includes the value 2. Also, since the line turns at (-1, 3), the function takes values greater than or equal to 3.
Therefore, the range of the function is all real numbers greater than or equal to 3.
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Solve the linear inequality: x ≤ -x + 4
Answers
Answer:
x ≤ 2
Step-by-step explanation:
i hope this helps :)
A car rental company charges a daily rate of $ 24 plus $ 0.10 per mile for a certain car. Suppose that you rent that car for a day and your bill (before taxes) is $ 37.00. How many miles did you drive?
_________miles
Answers
Explanation: make an equation. 24 + 0.10m = 37.00. subtract 24 from both sides leaving m for miles on one side. 0.10m = 13.00. now divide both sides by 0.10 leaving m by itself and making the equation m = 130.
What is the formula for area?
A. area = width + length
B. area = length x width
C. area = width ÷ length
D. area = length x height
I need help, i will give points.
Answers
Then it is B
Area = length x width
Please answer the question on the attachment <3
Answers
Answer:
Step-by-step explanation:
perpendicular (p)= 7.7
hypotenuse (h)= 9.7
now
sin x = p / h
sin x = 7.7/9.7
x = sin ^-1( 7.7/9.7)
x = 53°
a manufacturer wishes to set a standard time required by employees to complete a certain process. times from 21 employees have a mean of 6 hours and a standard deviation of 2 hours. test if the mean processing time exceeds 5.5 hours. what is the -value of the test (round off to second decimal place)? assume normal population.
Answers
The -value of the test is 1.90. This indicates that the mean processing time is significantly greater than 5.5 hours, supporting the manufacturer's desire to set a standard time required by employees to complete a certain process
The t-value will be equal to 1.39 for the given statistics.
How to calculate the t-value?To test if the mean processing time exceeds 5.5 hours, we can use a one-sample t-test.
The null hypothesis is that the mean processing time is less than or equal to 5.5 hours:
H0: µ ≤ 5.5
The alternative hypothesis is that the mean processing time is greater than 5.5 hours:
Ha: µ > 5.5
We will use a significance level of 0.05.
The formula for the t-test statistic is:
t = (X - µ) / (s / √n)
Where:
X = sample mean
µ = hypothesized population mean
s = sample standard deviation
n = sample size
Substituting the given values, we get:
t = (6 - 5.5) / (2 / √21) = 1.386
The degree of freedom for the t-test is n-1 = 20.
Using a t-table or calculator, the p-value associated with a t-value of 1.386 and 20 degrees of freedom is 0.093.
Since the p-value (0.093) is greater than the significance level (0.05), we fail to reject the null hypothesis. Therefore, there is not enough evidence to suggest that the mean processing time exceeds 5.5 hours.
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square root of 73984
Answers
Answer: 272
Step-by-step explanation:
Answer:
272
Step-by-step explanation:
by method of long division.
hope it's helpful
What is the y-intercept of 2x y =- 3?
Answers
The y-intercept of the equation 2x - y = -3 is 3 and in ordered pair form is (0,3).
What is the y-intercept of the given equation?The slope-intercept formula is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
Given the equation in the question
2x - y = -3
First, we solve form for y and reorder in slope intercept form.
2x - y = -3
Subtract 2x from both sides
2x - 2x- y = -3 - 2x
- y = -3 - 2x
Divide each term by -1
y = 3 + 2x
Reorder in slope intercept form
y = 2x + 3
To find the y-intercept, replace x with zero and solve for y
y = 2(0) + 3
y = 3
Therefore, the y-intercept is 3.
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what is an area of a square that has 3 inches as it's high and width? also would the answer be inches or inches squared?
Answers
Area of a square: side length ^2
Side lenght = 3 inches
Replacing:
A = 3 ^2 = 9 in2
Answer= 9 squared inches
Choose the graph of y = -3 sin x.
Answers
Step-by-step explanation:
the graph should look something like this
Gad has 15 trading cards that he wants to give to 5 friends.
He wants each friend to have the same number of trading cards.
Select the three statements that describe how Gad should give the trading cards to his friends.
Answers
i need help with this question please
Answers
Answer:
look at the photo...............
I WILL GIVE
Create an equivalent expression for this
Answers
Answer: C
Step-by-step explanation:
Answer: I think the answer is A.
Step-by-step explanation:
What is your estimated project completion time?
Please show work.
\begin{tabular}{|l|l|l|l|l|} \hline Activity & a & m & b & Immediate Predecessor \\ \hline A & 1 & 2 & 3 & \( \cdots \) \\ \hline B & 2 & 3 & 4 & \( \cdots \) \\ \hline C & 4 & 5 & 6 & A \\ \hline D &
Answers
To find the estimated project completion time for the given project activities, we need to first calculate the earliest start and earliest finish times and then the latest start and latest finish times.
Using the activity times given, we can calculate the earliest start and earliest finish times for each activity as follows: Activity A: Earliest start time = 0
Earliest finish time = 1
Activity B: Earliest start time = 2
Earliest finish time = 5
Activity C: Earliest start time = 5
Earliest finish time = 11
Activity D: Earliest start time = 11
Earliest finish time = 17
Activity E: Earliest start time = 5
Earliest finish time = 8 Activity F:
Earliest start time = 8
Earliest finish time = 17
Now we can calculate the latest start and latest finish times for each activity using the backward pass.
Latest finish time = 5
Latest start time = 2
Activity A: Latest finish time = 1
Latest start time = 0
Now we can calculate the slack time for each activity as follows:Activity A:
Slack time = 0
Activity B: Slack time = 0
Activity C: Slack time = 0
Activity D: Slack time = 0
Activity E: Slack time = 3
Activity F: Slack time = 0
The critical path for this project is A -> C -> D, since these activities have zero slack time. Therefore, the estimated project completion time is 17 units of time.
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