Answer:
C
Step-by-step explanation:
thank me later :D
Which parallelogram has an area of 60 square units?
Answer:
Finding the area of each parallelogram, applying the formula, it is found that the parallelogram D has an area of 60 square units
Step-by-step explanation:
Similarly to a rectangle, the area of a parallelogram is given by height multiplied by base, that is:
In item A, the height is of 15 units and the base is of 10 units, thus, the area, in square units, is of .
In item B, the height is of 6 units and the base is of 10.2 units, thus, the area, in square units, is of .
In item C, the height is of 15 units and the base is of 15 units, thus, the area, in square units, is of .
In item D, the height is of 10 units and the base is of 6 units, thus, the area, in square units, is of , which means that this is the correct option.
Deb works 19.5 hours at a car wash every week. She makes $12.80 per hour. Each week, she puts 1 4 of her earnings into her savings account. How much money does Deb put into her savings account each week?
Answer:
She will save 62.40
Step-by-step explanation:
First find the total amount she makes
hours times hourly rate
19.5 * 12.80
249.60
She saves 1/4 of this, so multiply by 1/4
1/4 * 249.60
62.40
She will save 62.40
Answer:
62.40
Step-by-step explanation:
For an actual shaft and an actual hole in a transition fit phi
50 H8/p7, the actual fit formed by the actual shaft and the actual
hole is an interference fit or a clearance fit. Please give the
reason
To determine whether the actual fit is an interference fit or a clearance fit, you need to measure the actual sizes of the shaft and hole and compare them to the tolerance limits specified by the H8 and p7 designations.
In a transition fit, such as φ50 H8/p7, the fit allows for both interference and clearance depending on the actual sizes of the shaft and hole.
To determine whether the actual fit formed by the actual shaft and hole is an interference fit or a clearance fit, we need to compare the actual sizes of the shaft and hole with the tolerance limits specified by the H8 and p7 designations.
In this case, the H8 tolerance for the hole indicates a basic hole size with a relatively tight tolerance, while the p7 tolerance for the shaft indicates a basic shaft size with a looser tolerance. The "φ50" specification specifies the nominal size of the fit as 50 mm.
If the actual shaft size falls within the upper limit of the p7 tolerance and the actual hole size falls within the lower limit of the H8 tolerance, the fit will be a clearance fit. This means that there will be a gap or clearance between the shaft and the hole, allowing for easy assembly and potential movement or play between the parts.
On the other hand, if the actual shaft size falls within the lower limit of the p7 tolerance and the actual hole size falls within the upper limit of the H8 tolerance, the fit will be an interference fit. This means that the shaft will be larger than the hole, resulting in a tight fit where the parts are pressed or forced together. This can create friction and require more force for assembly.
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A study compared three display panels used by air traffic controllers. Each display panel was tested for four different simulated emergency conditions. Twenty-four highly trained air traffic controllers were used in the study. Two controllers were randomly assigned to each display panel—emergency condition combination. The time (in seconds) required to stabilize the emergency condition was recorded. The following table gives the resulting data and the JMP output of a two-way ANOVA of the data. Emergency Condition Display Panel 1 2 3 4 A 17 25 31 14 14 24 35 13 B 15 22 28 9 12 19 31 10 C 21 29 32 15 24 28 37 19 Least Squares Means Estimates Panel Estimate Condition Estimate A 21. 500000 1 17. 166670 B 18. 375000 2 24. 666670 C 25. 625000 3 32. 166670 4 13. 333300 Analysis of Variance Source DF Sum of Squares Mean Square F Ratio Model 11 1,480. 3333 134. 576 30. 4700 Error 12 53. 2000 4. 417 Prob > F C. Total 23 1,533. 3333 <. 0001* Effect Tests Source Nparm DF Sum of Squares F Ratio Prob > F Panel 2 2 211. 5833 23. 9528 <. 0001* Condition 3 3 1,253. 0000 94. 5660 <. 0001* Panel* Condition 6 6 15. 7500 0. 5943 0. 7298 Tukey HSD All Pairwise Comparisons Quantile = 2. 66776, Adjusted DF = 12. 0, Adjustment = Tukey Panel -Panel Difference Std Error t Ratio Prob>|t| Lower 95% Upper 95% A B 3. 12500 1. 050793 2. 97 0. 0290* 0. 3217 5. 92826 A C −4. 12500 1. 050793 −3. 93 0. 0053* −6. 9283 −1. 32174 B C −7. 25000 1. 050793 −6. 90 <. 0001* −10. 0533 −4. 44674 Tukey HSD All Pairwise Comparisons Quantile = 2. 9688, Adjusted DF = 12. 0, Adjustment = Tukey Condition -Condition Difference Std Error t Ratio Prob>|t| Lower 95% Upper 95% 1 2 −7. 5000 1. 213352 −6. 18 0. 0002* −11. 1022 −3. 8978 1 3 −15. 2000 1. 213352 −12. 36 <. 0001* −18. 6022 −11. 3978 1 4 3. 8333 1. 213352 3. 16 0. 0359* 0. 2311 7. 4355 2 3 −7. 5000 1. 213352 −6. 18 0. 0002* −11. 1022 −3. 8978 2 4 11. 3333 1. 213352 9. 34 <. 0001* 7. 7311 14. 9355 3 4 18. 8333 1. 213352 15. 52 <. 0001* 15. 2311 22. 4355 Click here for the Excel Data File.
a. Calculate a 95 percent (individual) confidence interval for the mean time required to stabilize emergency condition 4 using display panel B. (Round your answers to 2 decimal places. )
Without the standard deviation, we cannot calculate the standard error or the 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B.
To calculate a 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B, we can use the least squares means estimates provided in the JMP output.
According to the JMP output, the estimate for the mean time required to stabilize emergency condition 4 using display panel B is 10.375000.
To calculate the confidence interval, we need to find the margin of error. The margin of error can be calculated using the formula:
Margin of Error = Critical Value * Standard Error
In this case, we need to find the critical value for a 95 percent confidence interval. Since we have a sample size of 24 (as mentioned in the question), we can use the t-distribution with (24-1) degrees of freedom to find the critical value.
Looking up the critical value in the t-distribution table, with (24-1) degrees of freedom and a confidence level of 95 percent, we find that the critical value is approximately 2.064.
The standard error can be calculated using the formula:
Standard Error = Standard Deviation / √(sample size)
The standard deviation is not provided in the given information. Therefore, we cannot calculate the standard error or the confidence interval without this information.
In summary, without the standard deviation, we cannot calculate the standard error or the 95 percent confidence interval for the mean time required to stabilize emergency condition 4 using display panel B.
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What is the distance from the directrix (the Crocodile River) to the point (x,y)? Write this equation. Your answer will contain a y-term.
We can write the solution set for the given system of equations as -
{x} = {EC/B - F}/{D - EA/B}
{y} = - { C + A [{ EC/B - F }/{ D - EA/B }] }/B
What is algebraic expressions?An algebraic expression is a made up of terms both constants and variables. For example, we can write -
2x + 3y + z
5x + y
x + 8y
Given is use the diagrams below, write and solve two simultaneous equations to work out the values of {x} and {y}.
Since the diagram is not given, we can learn how to solve the given set of simultaneous equations.
Assume that we have the simultaneous equations as -
Ax + By + C =0
Dx + Ey + F = 0
Now, we can write -
Ax + By + C =0
By = - C - Ax
By = - (C + Ax)
{y} = - (C + Ax)/B
Putting the value in the equation -
Dx + Ey + F = 0
Dx - E(C + Ax)/B + F = 0
Dx - EC/B - (EA/B)x + F = 0
x{D - EA/B} - EC/B + F = 0
x{D - EA/B} = {EC/B - F}
{x} = {EC/B - F}/{D - EA/B}
We can write {y} as -
{y} = - { C + A [{ EC/B - F }/{ D - EA/B }] }/B
Therefore, we can write the solution set for the given system of equations as -
{x} = {EC/B - F}/{D - EA/B}
{y} = - { C + A [{ EC/B - F }/{ D - EA/B }] }/B
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1 Evaluate the expression for w 1 W +3 = 2
Answer:
the answer is w/2+3
Step-by-step explanation:
combine 1/2 and w
10.187 electric poles were fixed along a road at a regular interval of 20m. What was the total
distance fixed with the poles in km?
Answer:
203.74
Step-by-step explanation:
10.187x20=203.74m
203.74 = 0.20374 kilometres
a(n) ____ is a transformation in which the size or the shape of a geometric figure is changed.
Dilations involve scaling the figure uniformly along a given center and factor. This process results in an enlarged or reduced version of the original figure, while maintaining the same proportions and shape.
A dilation is a type of geometric transformation that alters the size or shape of a figure while preserving its proportions. It involves scaling the figure uniformly in all directions from a specific center of dilation. The scaling factor determines whether the figure will be enlarged or reduced.
When dilating a figure, each point is moved along a line that passes through the center of dilation. The distance between the original point and the center is multiplied by the scaling factor to determine the new position of the point. If the scaling factor is greater than 1, the figure will be enlarged, while a scaling factor between 0 and 1 will result in a reduction.
The center of dilation can be any point on the plane, and it serves as the reference point from which the scaling occurs. If the center of dilation is outside the figure, the shape will change along with the size. However, if the center is inside the figure, only the size will be affected, and the shape will remain the same.
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Which statement explains why one source is the most reliable? The Squawkbook post is the most reliable source because ConcernedCitizen was at the meeting. The Local Reader article is the most reliable source because it shows a photograph of the lots. The Squawkbook post is the most reliable source because it provides the author’s opinion of the council. The Local Reader article is the most reliable source because the author offers a neutral reporting of facts.
HELP PLEASE
The statement that explains why one source is the most reliable is D. The Local Reader article is the most reliable source because the author offers a neutral reporting of facts.
What are reliable sources?Reliable sources are necessary for reliable information. A trustworthy source will offer a "complete, well-reasoned hypothesis, argument, etc. based on substantial evidence," according to UGA Libraries.
Scholarly, peer-reviewed articles and books are examples of widely regarded sources. trade publications, professional books, etc.
It should be noted that a reliable source should be based in facts and should not be biased.
Therefore, the correct option is D.
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Sketch each angle in standard position. Then find the measure of a coterminal angle.
28°
The measure of a coterminal angle to 28° can be 388° or -332°.
To sketch the angle of 28° in standard position, we start by drawing the initial side, which is the positive x-axis (horizontal line to the right). Then, from the endpoint of the initial side, we rotate counterclockwise by 28° to draw the terminal side. The terminal side will be at an angle of 28° above the positive x-axis.
To find a coterminal angle, we can add or subtract multiples of 360° (or 2π radians) to the given angle while keeping the terminal side in the same position. Since positive and negative rotations in multiples of 360° will result in the same terminal side, we have an infinite number of coterminal angles.
For the angle of 28°, some possible coterminal angles can be found by adding or subtracting multiples of 360°. For example:
28° + 360° = 388°
28° - 360° = -332°
Therefore, the measure of a coterminal angle to 28° can be 388° or -332°.
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Help pls. Solve the system of linear equations by substitution.
Answer:
(5, 3)
Step-by-step explanation:
\(x = 17 - 4y \\ y = x - 2\)
Substitute x into y:
\(y = (17 - 4y) - 2 \\ y = 15 - 4y \\ y + 4y = 15 \\ 5y = 15 \\ y = 3\)
Substitute y into x:
\(y = x - 2 \\ 3 = x - 2 \\ 3 + 2 = x \\ x = 5\)
Therefore your answer is (5, 3).
PLEASE HELP!!!!! Match the equivalent expressions
Answer:
Step-by-step explanation:
-7x + 4 + 3x
-4x + 4
3x + 5x + 8
8x + 8
4x + 4x + 4x + 4x
4x * 4
16x
4x + 4x
8x
write the relation as a set of ordered pairs
I don't know what the relation in your problem is, but I'll just explain this using my own example.
Let's use the following relation as the example (pretend it's a table of values):
x | y
0 | 1
2 | 4
4 | 7
6 | 10
To write the relation as ordered pairs, you need the x and y values from the table. An ordered pair is written like this: (x,y).
Based off of this explanation, the ordered pairs from this example would be:
(0,1) (2,4) (4,7) (6,10)
Find, in the form x + iy: (-4+7i)². 4 (-4+7i)².
(-4 + 7i)² = 9 + 56i ; Where x + iy is complex form.
To find the square of (-4 + 7i), we can use the formula for squaring a complex number, which states that (a + bi)² = a² + 2abi - b².
In this case, a = -4 and b = 7. Applying the formula, we have:
(-4 + 7i)² = (-4)² + 2(-4)(7i) - (7i)²
= 16 - 56i - 49i²
Since i² is equal to -1, we can substitute -1 for i²:
(-4 + 7i)² = 16 - 56i - 49(-1)
= 16 - 56i + 49
= 65 - 56i
So, (-4 + 7i)² simplifies to 65 - 56i.
If we multiply the result by 4, we get:
4(-4 + 7i)² = 4(65 - 56i)
= 260 - 224i
Therefore, 4(-4 + 7i)² is equal to 260 - 224i.
The square of (-4 + 7i) is 65 - 56i. Multiplying that result by 4 gives us 260 - 224i.
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(4) (8) translate to words
Answer:
(4) (8)
four times 8
Please can you mark me as brainliest if you think my answer is helpful.
Help please ): pleaseeee
Answer:
answer it yourself
Step-by-step explanation:
Find the exact value of each expression. (Enter your answer in radians.)
(a) sinâ¹(â3/2)
b) cosâ¹(2/2)
The expression sinâ¹(â3/2) is undefined. The value of cosâ¹(2/2) = 0 radians.
In the expression sinâ¹(â3/2), Since the sine function is only defined for angles between -π/2 and π/2, we cannot find an angle with a sine of -â3/2. Therefore, the expression is undefined.
In the expression cosâ¹(2/2), since the cosine of an angle is equal to the adjacent side over the hypotenuse in a right triangle, we can draw a right triangle with adjacent side 2 and hypotenuse 2. Using the Pythagorean theorem, we find that the opposite side has length 0.
Therefore, we have a right triangle with adjacent side 2, opposite side 0, and hypotenuse 2. This means that the angle we are looking for is a zero-degree angle, or 0 radians. Therefore, cosâ¹(2/2) = 0 radians.
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2. Find the midpoint of a segment
connecting the points (a, b) and (4a, 3b).
Answer:
(2.5a, 2b) your welcome
Step-by-step explanation:
PLZZZ HELPPPP Assume line q is parallel to line m. Choose from the drop-down menus to solve for m∠6
Answer:
1= 75 2= 60 3=180 4=45 5= vertical angles 6=45
Step-by-step explanation:
All we have to do is use supplimentary angles
For example angle 1
105+angle 1=180
angle one = 75 degrees
120+angle 2=180
angle two= 60 degrees
There 180 degreees in a triagle.
So angle 1 + angle 2+ angle 7= 180
75+60+angle 7=180
angle 7= 45 degrees
And since 6 and 7 are vertical angles, angle 6 is also 45 degrees.
State what information is required to know that the triangles are congruent.
-GEOMETRY
\(\huge \bf༆ Answer ༄\)
The additional information needed to prove that the triangles are congruent is ~ A
\( \sf\angle M \cong \angle V \: \: or \: \: \angle N \cong\angle U\)Which of the following statements are correct? (Select all that apply.) a. (xa)ᵇ = (xb)ᵃ b. (xᵃ)ᵇ = bxᵃ
c. xᵃ/ᵇ = (x¹/ᵇ)ᵃ
d. xᵃ/xᵇ = 1/xᵃ⁻ᵇ
e. None of the Above
The correct statements for the following terms are a. (xa)ᵇ = (xb)ᵃ and c. xᵃ/ᵇ = (x¹/ᵇ)ᵃ The statement is correct and can be explained as "if a is raised to the power b, and b is raised to the power a, the two expressions are equal.
"b. (xa)b ≠ bxᵃ - The statement is incorrect as the expression is true and can be simplified as "(xa)b can be simplified as xab, and bxᵃ can be simplified as xab. As both the expressions are equal, hence the statement is incorrect.
"c. xᵃ/ᵇ = (x¹/ᵇ)ᵃ - The statement is correct as the expression can be simplified as "(xᵇ)ᵃ / xᵇ = xᵃ / xᵇ. Now, the (xᵇ)ᵃ / xᵇ can be further simplified as xᵃ / x¹ which is equal to xᵃ. Hence, xᵃ/ᵇ = (x¹/ᵇ)ᵃ.
"d. xᵃ/xᵇ = 1/xᵃ⁻ᵇ - The statement is incorrect as the expression is true for xᵇ/xᵃ but not for xᵃ/xᵇ. Hence, the statement is incorrect.
e. None of the Above - As stated in points b and d, some of the above statements are incorrect. Hence, the statement 'None of the Above' is incorrect. The correct statements for the given terms are a and c.
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A company ships confetti in boxes shaped like rectangular prisms. the area of the base of each box must be 30 square inches. if the company can ship 210 cubic inches of confetti in each container, which equation could be used to find h, the height of each container
As per the area of rectangular prism, the equation that could be used to find h, the height of each container is h = 210/wl
The general formula to calculate the area of the rectangular prism is written as
=> A = 2(wl + hl + hw)
where l refers the length, w refers the width and h refers the height.
Here we have given that the area of the base of each box must be 30 square inches.
Which means that the given equation is rewritten as,
=> 30 = 2(wl + hl + h1)
=> wl + hl + hw = 15
Here we also know that the company can ship 210 cubic inches of confetti in each container, then the equation of the height is calculated as,
=> whl = 210
then the value of h is written as,
=> h = 210/wl
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what is the name commonly used for the table used by statisticians that provides probabilities associated with different areas under a bell-shaped curve?
The commonly used name for the table used by statisticians that provides probabilities associated with different areas under a bell-shaped curve is the standard normal distribution table or the z-table.
The standard normal distribution table is a reference table that helps statisticians and researchers determine the probabilities associated with specific z-scores (standardized values) in a standard normal distribution. It provides the cumulative probabilities or areas under the curve to the left of various z-scores.
By looking up the corresponding z-score in the table, one can find the probability or area under the curve, which aids in various statistical calculations and hypothesis testing. The standard normal distribution table is a valuable tool for analyzing and interpreting data that follows a normal distribution.
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2(x+3)
2x+6
This is an example of the blank property.
4x-3
x=2
4(2)-3
The blank property is use here.
commutative property is an example of the blank property.
What in mathematics is a commutative property?
This law basically indicates that while adding and multiplying integers, you can rearrange the numbers in a problem without modifying the solution. Division and subtraction do not work commutative.What is a commutative property example?
Commutative characteristic of addition: The sum is unaffected by the arrangement of the addends. For example, 4 + 2 = 2 + 4 4 + 2 = 2 + 4, plus 2, equals 2, plus 4. 4 + 2 = 2 + 44. Changes to the order of the addends have no effect on the sum, because of the associative property of addition.2(x+3) = 2x+6
Commutative Property used in this function.
4x-3
put x=2
4(2)-3 = Commutative Property used in this function.
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Factor 3x^6+57x^3-648
After analysing the given data we conclude that the factorization of the given expression is 3(x³+24)(x³-9), under the condition that the given expression is 3x⁶+57x³-648.
The expression 3x⁶+57x³-648 could be factored by first evaluating the greatest common factor (GCF) of the terms. It means the largest number that divides two or more numbers without leaving a remainder. For instance , the GCF of 12 and 18 is 6 because 6 is the largest number that divides both 12 and 18 without leaving a remainder.
The GCF of 3x⁶, 57x³ and -648 is 3.
We can factor out 3 from each term to get:
3(x⁶+19x³-216)
The expression x⁶+19x³-216 could be factored further applying the substitution u=x³:
u²+19u-216
This quadratic equation can be factored as:
(u+24)(u-9)
Staging back x³ for u,
(x³+24)(x³-9)
Hence, the factored form of 3x⁶+57x³-648 is:
3(x³+24)(x³-9)
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Which statement is true if the kitchen is clean but the bedroom is not clean?
5 friends go out to lunch and order 2 large pizzas. The friends divided the pizzas evenly. Find how much pizza each friend got as a decimal.
Answer:
1/5th Of the pizza. In Decimal form .2
Step-by-step explanation:
If there were multiple pizzas 0.2 by the number of pizzas because each friend gets 0.2 of each pizza. So if there is two pizzas answer is: .4
Graph the piecewise function on the coordinate plane:
() = {−2 < −1
− 1 ≥ −1
The graph of the piecewise function is attached accordingly.
What is a piecewise function?A piecewise-defined function in mathematics is one that is composed of several smaller functions, each of which has a certain interval of the domain it applies to.
Instead of being a property of the function itself, piecewise definition is a means to represent the function.
There are several configurations for piecewise specified functions. Their "pieces" might be entirely linear or comprise a variety of functional forms, including constant, linear, quadratic, cubic, square-root, cube-root, exponential, etc. There is no "parent function" for piecewise defined functions because of this variety.
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Full Question:
Although part of your question is missing, you might be referring to this full question: See the attached image.
A line passes through the points (3, –3) and (18, –3). What is its equation in slope-intercept form?
Answer: y=-3
Step-by-step explanation:
slope intercept form:y=mx+b
m= slope
b= y-intercept
use the slope formula to get the slope
y2-y1/x2-x1
-3-(-3)/18-3
0/15
0
y=0x+b
plug in values from (3,-3) and solve for b
-3=0(3)+b
-3=b
y=-3
Find the length of the sides of the triangle with vertices A(0, 4), B(5, 4), and C(-3, -2). Classify the triangle by its sides.
Answer:
Step-by-step explanation:
(1)
Given vertices are A(3,4), B(2,-1) and C(4,-6).
We need to calculate the length of the sides AB,BC,AC.
We have to distance formula which can tell the distance between 2 points.
d = √(x2 - x1)^2 + (y2 - y1)^2.
(1)
AB = √(2 - 3)^2 + (-1 - 4)^2
= √(-1)^2 + (5)^2
= √1 + 25
= √26.
(2)
BC = √(4 - 2)^2 + (-6 + 1)^2
= √(2)^2 + (5)^2
= √4 + 25
= √29
(3)
AC = √(4 - 3)^2 + (-6 - 4)^2
= √(1)^2 + (-10)^2
= √1 + 100
= √101
Therefore, the length of the sides of the triangle are √26,√29 and √101.
----------------------------------------------------------------------------------------------------------
(2)
Let the given points be A(2,-2), B(-2,1) and C(5,2).
Using the distance formula,w e find that
⇒ AB = √(-2 - 2)^2 + (1 + 2)^2
= √16 + 9
= √25.
⇒ BC = √(5 + 2)^2 + (2 - 1)^2
= √49 + 1
= √50.
⇒ AC = √(5 - 2)^2 + (2 + 2)^2
= √9 + 16
= √25.
Now,
⇒ AB^2 + AC^2
⇒ (5)^2 + (5)^2
⇒ 25 + 25
⇒ 50.
⇒ (BC)^2.
Therefore, AB^2 + AC^2 = BC^2.
∴ We can conclude that ΔABC is a right angled triangle