When calculating the composite shape's area, the value of x that is needed is: x = 3.
What is rectangle?The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.
What is area of rectangle?The area a two-dimensional form occupies in a plane is known as its area. It has a square unit of measurement. As a result, the rectangle's area is the space enclosed by its exterior lines. It is the same as the length times the width calculation.
The following is the rectangle's area formula:
Area = length*width
Thus;
Area of rectangle = 21x
Area of rectangle = 16 * 3x = 48x
Since the total area is 207 cm², then we have;
21x + 48x = 207
69x = 207
x = 207/69
x = 3
The value of x=3 is the answer which is required in question.
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how did yu get that answer.....like step by step
Answer:
answer to what lol
Step-by-step explanation:
Netflix would like to estimate the proportion of their current subscribers who would pay extra for a premium membership including access to more movies and tv shows. To do this, they plan to calculate a 95% confidence interval to estimate the proportion. They would like a margin of error of. 5. How many subscribers must they sample to obtain this interval?.
They must sample 385 subscribers to obtained this interval.
What do you mean by sample?
An outcome of a random experiment is a sample. A random variable is sampled when we choose one particular value from its range of potential values.
According to the given question,
We have:
95% confidence interval for z-score is 1.96
Using this formula to find the number of subscribers they must sample to obtain this interval
n≥ (zσ/2 ÷ 2ME)²
Where:
n= Sample
zσ = Z-score
ME = margin of error
Let put in the formula,
n≥ [1.96 / 2(0.05)]²
n≥ [1.96 / 0.1]²
= (19.6)²
= 384.16
=385 (Rounded)
Therefore, they must sample 385 subscribers to obtained this interval.
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What is the common difference and ninth term for the following sequence:
3,5/2,2,3/2,1
Answer:
Common Difference: \(-\frac{1}{2}\)
The ninth term: -1
Step-by-step explanation:
The sequence can be written like this,
3, 2.5, 2, 1.5, 1, ....
Here the common difference is clearly -0.5 or \(-\frac{1}{2}\), and we can conclude that \(n^{th}\) number is \(3 - 0.5(n-1)\). So the 9th term is,
\(3 - 0.5(9 - 1)\\= -1\)
Type the correct answer in the box. Use numerals instead of words. If necessary, use/ for the fraction bar.
Given the figure, find the total area of the shaded region.
D
8-
6-
4-
2-
O
-2-
o
S
The area of the shaded region is
B
R
8
с
square units
The value of the total area of the shaded region are,
⇒ 42 units²
We have to given that;
Sides of rectangle are,
AB = 9
BC = 6
Hence, The area of rectangle is,
⇒ 9 x 6
⇒ 54 units²
And, Area of triangle is,
A = 1/2 × 4 × 6
A = 12 units²
Thus, The value of the total area of the shaded region are,
⇒ 54 - 12
⇒ 42 units²
So, The value of the total area of the shaded region are,
⇒ 42 units²
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what is the relationship between angle BAC and angle CAD and angle DAB? Express your answer in geometric terms.
Answer:
∠BAC and ∠CAD are congruent, and m∠DAB is the sum of m∠BAC and m∠CAD.
Step-by-step explanation:
Answer:
∠BAC and ∠CAD are congruent, and m∠DAB is the sum of m∠BAC and m∠CAD.
Step-by-step explanation:
Exact answer for edmentum
please help asap :(.
Answer:
Step-by-step explanation:
16 divided by 2 is saying that 16 into 2 goes evenly 8 times while the square root of 16 is staying that 4 x 4 is 16. What number goes into the square root of 16 will be 4 x 4
Roy spent 3/8 of his money on 10 identical files and 10 identical board games. He then spent 1/10 of the remainder on 6 identical staplers. A board game cost 5 times as much as a file. A stapler cost $1.50 more than a file. (a) How much did Roy spend on a file? (b) How much did Roy spend on a board game?
Question seems incomplete as the initial amount Roy has isn't given. Kindly provide Roy's initial amount
Answer:
Step-by-step explanation:
The strain ϵ is given in terms of δR,R 1
(the unstrained strain gauge resistance) and GF y ϵ= GF⋅R 1
δR
Determine an expression for the uncertainty in ϵ in terms of Δ(δR),ΔGF and ΔR 1
. Call this Δϵ.
We know that the given strain in the strain gauge isϵ = GF × R1/δR. The uncertainty in the strain is given by:Δϵ/ϵ = √(ΔGF/GF)² + (√(ΔR₁/R₁)² + √(ΔδR/δR)²).
We know that strain gauge's strain ϵ is expressed as the ratio of its change in resistance δR, which is given by the formula:ϵ = GF × R1/δRWhere ϵ is the strain, δR is the change in resistance, GF is the gauge factor, and R1 is the unstrained resistance of the gauge. Now, if we are asked to calculate the uncertainty in ϵ, we have to first determine the uncertainty in all the parameters given.
The uncertainty in gauge factor (GF), unstrained resistance (R1), and change in resistance (δR) is given by ΔGF, ΔR1, and ΔδR respectively.
To determine the uncertainty in the strain (ϵ), we can use the formula:Δϵ/ϵ = √(ΔGF/GF)² + (√(ΔR₁/R₁)² + √(ΔδR/δR)²).
This formula expresses the uncertainty in the strain in terms of the uncertainties in gauge factor, unstrained resistance, and change in resistance. This is the required expression for the uncertainty in ϵ.
The uncertainty in the strain in the strain gauge is expressed asΔϵ/ϵ = √(ΔGF/GF)² + (√(ΔR₁/R₁)² + √(ΔδR/δR)²).
This expression expresses the uncertainty in ϵ in terms of the uncertainties in gauge factor (GF), unstrained resistance (R1), and change in resistance (δR).
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what are the terms a0, a1, a2, and a3 of the sequence {an}, where an equals a) 2n 1? b) (n 1)n 1? c) n/2? d) n/2 n/2?
When a\(_{n}\) = \(2^{n}\)+ n, a₀ = 1, a₁ = 3, a₂ = 6, and a₃ = 11
When a\(_{n}\) = n^(n+1)!, a₀ = 0, a₁ = 2, a₂ = 2⁶, and a₃ = 3²⁴
When a\(_{n}\) = [n/2], a₀ = 0, a₁ = 1/2, a₂ = 1, and a₃ = 3/2
When a\(_{n}\) = [n/2] + [n/2], a₀ = 0, a₁ = 1, a₂ = 2, and a₃ = 3/2
Number sequence
A number sequence is a progression or a list of numbers that are directed by a pattern or rule.
Here,
a₀, a₁, a₂, and a₃ are terms of a sequence
from option a, a\(_{n}\) = \(2^{n}\)+ n
⇒ a₀ = 2⁰+ 0 = 1+0 = 1
⇒ a₁ = 2¹+ 1 = 2+1 = 3
⇒ a₂, = 2²+ 2 = 4+2 = 6
⇒ a₃ = 2³+ 3 = 8 +3 = 11
from option b, a\(_{n}\) = n^(n+1)!
⇒ a₀ = 0^(0+1)! = 0
⇒ a₁ = 1^(1+1)! = 2² = 2
⇒ a₂, = 2^(2+1)! = 2^(3)! = 2⁶ [ ∵ 3! = 6 ]
⇒ a₃ = 3^(3+1)! = 3^(4)! = 3²⁴ [ ∵ 4! = 24 ]
from option c, a\(_{n}\) = [n/2]
⇒ a₀ = [0/2] = 0
⇒ a₁ = [1/2] = 1/2
⇒ a₂, = [2/2] = 1
⇒ a₃ = [3/2] = 3/2
from option d, a\(_{n}\) = [n/2] + [n/2]
⇒ a₀ = [0/2] + [0/2] = 0
⇒ a₁ = [1/2] + [1/2] = 1/2 + 1/2 = 1
⇒ a₂, = [2/2] + [2/2] = 1 + 1 = 2
⇒ a₃ = [3/2] + [3/2] = 6/4 = 3/2
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The Complete Question is -
What are the terms a₀, a₁, a₂, and a₃ of the sequence {a\(_{n}\)}, where a\(_{n}\) is where a\(_{n}\) equals
a. \(2^{n}\) + n b. n^(n+1)!
c. [n/2] d. [n/2] + [n/2]
setting a goal a. liam takes the test in october and scores a 720. he goes out to his favorite restaurant to celebrate. developing an action plan b. after studying for a month, liam takes a practice test and scores 40 points higher than he did on his first practice test. reviewing progress c. based on the average test scores of students at his target schools, liam decides he wants to earn a 710 on the gmat. appraising performance d. liam will spend one hour each weeknight and three hours every saturday and sunday studying gmat practice questions.
A. Liam sets a goal to score a 720 on the GMAT test in October.
B. Liam develops an action plan to study for a month and take a practice test. After studying for a month, he takes a practice test and scores 40 points higher than he did on his first practice test.
C. Based on the average test scores of students at his target schools, Liam decides he wants to earn a 710 on the GMAT.
D. To achieve his goal, Liam will spend one hour each weeknight and three hours every Saturday and Sunday studying GMAT practice questions. He will also review progress regularly to ensure that he is on track to achieve his goal.
E. Finally, Liam will appraise his performance by comparing his scores on practice tests with his goal score of 710. If he finds that he is not making enough progress, he may adjust his study schedule or seek additional help.
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which of the following give chart elements a realistic, three-dimensional look? A. axis•B. chart area•C. legend•D. plot area
The chart element that gives a realistic, three-dimensional look is D. plot area.
In a chart, the plot area is the area where the actual chart data is plotted. It is the main part of the chart where the lines, bars, or other data markers are displayed. To give a chart a realistic, three-dimensional look, shading and depth are applied to the plot area. This creates the illusion of depth and makes the chart appear more visually appealing and easier to read. The axis, chart area, and legend do not typically have a three-dimensional appearance, as they are typically two-dimensional elements that provide information about the chart data rather than displaying the data itself.
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If jake runs 3 miles in 36 minutes how many miles could he run in 60 minutes
Answer:
5 miles
Step-by-step explanation:
We will use the method of cross multiplying and dividing.
You will multiply 60 x 3
Then, take the answer (180) and divide it by 36.
That will give you 5 and your answer.
The gas tank of a car holds 15.9 gallons. If it required 12.2 gallons to fill the tank, how many gallons were still in the car before it was filled up?
Answer: 3.7
Step-by-step explanation: 15.9-12.2=3.7
Can someone help really fast with this question
The answer that describes the polygon RSTU is as follows:
QuadrilateralTrapezoidHow to find a quadrilateral?A quadrilateral is a polygon with 4 sides. Therefore, let's use the properties to find the name of the shape RSTU as follows:
The polygon has 4 sides therefore, it is a quadrilateral.
The quadrilateral has opposite side parallel to each other. The opposite sides are RS and TU.
A trapezoid is a quadrilateral with only one pair of opposite side parallel to each other.
Therefore, the shapes that defines the polygon are as follows:
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Question 4(Multiple Choice Worth 2 points)
(Comparing Data MC)
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 4,6,14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The graph is titled Bus 47 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10,16,20, and 28. There are two dots above 8 and 14. There are three dots above18. There are four dots above 12. The graph is titled Bus 14 Travel Times.
Compare the data and use the correct measure of variability to determine which bus is the most consistent. Explain your answer.
Bus 47, with an IQR of 8
Bus 14, with an IQR of 6
Bus 47, with a range of 8
Bus 14, with a range of 6
The answer to the given question about IQR is option b Bus 14, with an IQR of 6.
To determine which bus is the most consistent, we need to look at the measure of variability for each data set. In this case, we are given the interquartile range (IQR) and the range for each bus. The IQR is a better measure of variability than the range because it is less affected by outliers.
Bus 47 has an IQR of 8, which means that the middle 50% of the data falls within a range of 8 minutes. Bus 14 has an IQR of 6, which means that the middle 50% of the data falls within a range of 6 minutes.
Since Bus 14 has a smaller IQR, it is more consistent than Bus 47. This means that the travel times for Bus 14 are more similar to each other than the travel times for Bus 47. Therefore, we can conclude that Bus 14 is the most consistent of the two buses.
Therefore, the correct answer is:
Bus 14, with an IQR of 6.
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PLEASE HELP!! HURRY!!
Answer:
B
Step-by-step explanation:
Its the second one, Answer B
Identify u and U = du dx II dx for the integral ¹ / ² (du) dx. (6 - 4x²)²(-8x) dx X X
We have u = u(x) and U =\(-1/16 ∫(du) / [(6 - 4x^2)^2x]\) as the identified substitution for the given integral.
To identify u and U for the given integral ∫(1/2) (du) dx, we can perform integration by substitution.
Let's rewrite the integral as ∫(1/2) (du/dx) dx, where u = u(x) is the function that we want to determine.
Now, we need to find the derivative du/dx and solve it for dx to obtain the substitution dx in terms of du:
\(du/dx = (6 - 4x^2)^2(-8x)\)
dx = du / (du/dx)
dx = du /\([(6 - 4x^2)^2(-8x)]\)
Now, let's substitute dx in the integral using the derived expression:
\(∫[u] (1/2) (du) / [(6 - 4x^2)^2(-8x)]\)
Simplifying the integral:
\((1/2) ∫[u] du / [(6 - 4x^2)^2(-8x)]\)
=\(-1/16 ∫[u] du / [(6 - 4x^2)^2x]\)
Therefore, we have u = u(x) and U = -\(1/16 ∫(du) / [(6 - 4x^2)^2x]\) as the identified substitution for the given integral.
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Paul needs 34 cents. He has only dimes and pennies. How many ways can you make 34 cents using both kinds of coin? Explain
There are a total of 5 ways that paul can make 34 cents using only dimes and pennies.
to find the number of ways paul can make 34 cents using only dimes and pennies, we can use a systematic counting method called "brute force." we will need to consider all possible combinations of dimes and pennies that add up to 34 cents, and count the total number of valid combinations.
we can start by using dimes to see how many of them can fit into 34 cents. since each dime is worth 10 cents, the maximum number of dimes that can be used without going over 34 cents is 3, giving a total value of 30 cents. we can then use the remaining cents to make up the difference. there are several possible ways to do this:
- 4 pennies: this combination uses 3 dimes and 4 pennies.- 3 pennies: this combination uses 3 dimes and 3 pennies.
- 2 pennies: this combination uses 2 dimes and 14 pennies.- 1 penny: this combination uses 1 dime and 24 pennies.
- 0 pennies: this combination uses 0 dimes and 34 pennies. note that this method can be used to solve similar problems with different amounts and types of coins. however, as the number of coins and the values increase, the number of possible combinations can become very large, making the brute force method impractical. in those cases, other methods such as generating function s or dynamic programming may be more appropriate.
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stop blocking me cuz im doing my work amd i pay for this soooo stop blocking meeeeeereeeee
What's the area of the quarter circle if the diameter is 3 inches?
Answer:
Area of the full circle(A)= pi*d^2/4
A=3.143*3^2/4
A=7.07in^2
Area of the Quarter of the circle(B)
B=1/4A
B=1.77in^2
Step-by-step explanation:
Find the m ∠ G in DEG , if the m ∠ E = 118° and m ∠ D = 44°. i need this fast guys.
Answer:
18
Step-by-step explanation:
Answer: I think it may be 18.
Step-by-step explanation: The reason is because, 118 plus 44 equals 162. 180-162=18
The continuous random variable V has a probability density function given by: 6 f(v) = for 3 ≤ ≤7,0 otherwise. 24 What is the expected value of V? Number
The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.
The PDF of V is defined as:
f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.
The expected value of V, denoted as E(V), can be calculated as:
E(V) = ∫v * f(v) dv
To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.
E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.
E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].
E(V) = (0.25) * [(49 / 2) - (9 / 2)].
E(V) = (0.25) * (40 / 2).
E(V) = (0.25) * 20.
E(V) = 5.
Therefore, the expected value of the continuous random variable V is 5.
The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
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If 8(x) = -2 and g(x) = 2x2 + x = 3, find ( +g)(x).
A. 2x2 + 2x-5
B. x - 6
C. 2x - 3+1
D. 2x2 + x +1
\((f+g)(f)=f(x)+g(x)\\\\\\f(x)=\dfrac{x}{2}-2\\g(x)=2x^2+x-3\\\\(f+g)(x)=\dfrac{x}{2}-2+2x^2+x-3\\(f+g)(x)=2x^2+\dfrac{x}{2}+\dfrac{2x}{2}-5\\(f+g)(x)=2x^2+\dfrac{3x}{2}-5\\(f+g)(x)=2x^2+\dfrac{3}{2}x-5\)
look at the photo. Find x
I need help with this
Answer:
? = 4 units
Step-by-step explanation:
'2' is to ' 7+2 ' as ? is to '14 + ? '
2/ 9 = ? / (14 + ?) cross mutiply
28 + 2? = 9?
28 = 7?
? = 4
what are the two possibilities for its x component? enter your answers numerically separated by a comma.
The two possibilities for the x component are numerical values that need to be provided for a specific context or problem.
In order to determine the two possibilities for the x component, more information is needed regarding the context or problem at hand. The x component typically refers to the horizontal direction or axis in a coordinate system.
Depending on the scenario, the x component can vary widely. For example, if we are discussing the position of an object in two-dimensional space, the x component could represent the object's horizontal displacement or coordinate.
In this case, the two possibilities for the x component could be any two numerical values along the horizontal axis. However, without further context, it is not possible to provide specific numerical values for the x component.
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What is the volume of a cylinder with a height of 13 yards and a diameter of 5 yards?
Volume of cylinder = πr^2 × h
= π × (5/2)^2 × 13
= 255.25 yd^3
find the value of "y" log(4y+1)=log(y-7)-2log2
Answer:
y = -8/15
Step-by-step explanation:
log (4y + 1) = log (y - 7) - 2log2
log (4y + 1) = log (y - 7) - log2² (power law)
log (4y + 1) = log [(y - 7)/4]
4y + 1 = (y - 7)/4 (remove log)
4(4y + 1) = y - 7
16y - y = -8
15y = -8
y = -8/15
The coordinate grid shows points A through K. What point is a solution to the system of inequalities? y < −2x + 10 y < 1 over 2x − 2 coordinate grid with plotted ordered pairs, point A at negative 5, 4 point B at 4, 7 point C at negative 2, 7 point D at negative 7, 1 point E at 4, negative 2 point F at 1, negative 6 point G at negative 3, negative 10 point H at negative 4, negative 4 point I at 9, 3 point J at 7, negative 4 and point K at 2, 3 I B A F
The point that is a solution to the system of inequalities on the coordinates grid is A.
How to illustrate the information?It should be noted that form the information given, the expression is y < −2x + 10. In this case, draw the solid line y = -2x + 10.
Shade the region below the like for x = 5.
y = -2(5) + 10
= -10 + 10
= 0
For x= 0
y = -2(0) + 10
= 0 + 10
= (0, 10)
The diagram is attached.
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if 4 is a root of x^2- kx+12=0 , then the value of k and the other roots are what?
Answer:
k=7
Other root=3
Step-by-step explanation:
If x=4 is a root of the given equation, then it satisfies the given equation.
4^2-k(4)+12=0
We can solve this equation for k.
16-4k+12=0
28-4k=0
28=4k
28/4=k
7=k
So the equation is x^2-7x+12=0
Factor form is (x-3)(x-4)=0 since-3(-4)=12 and -3+-4=-7.
This implies x=3 and x=4 are roots.