The perimeter and Area of the trapezoid are:
Area = 97.372
Perimeter = 38 + 4√2
How to find the Perimeter and Area of Trapezoid?The formula for area of a trapezoid is:
Area = ¹/₂(sum of parallel sides) * height
Using trigonometric ratios, we can find the height of the trapezoid as:
Height = (8√2) * cos(135 - 90)
= (8√2) * 0.7071
= 8
The base of the small triangle is:
base = 8 * sin 45
= 4√2
Thus:
Area = ¹/₂(15 + 15 - 4√2) * 8
Area = 97.372
Perimeter = 15 + 8 + 15 - 4√2 + 8√2
= 38 + 4√2
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would this be sin, cos, or tan?
Answer:
cos
Step-by-step explanation:
its adjacent over hypotenuse
Answer: cos
Step-by-step explanation:
You don't have a value for the side opposite the angle, you only have your hypotenuse and your adjacent side. Hope this helps.
Don’t understand this and need help
Answer:
5ft
Step-by-step explanation:
This simple proportions. 6/10=3/x. Solve for x. Cross Multiply. 6x=30. 30/6=5. x=5. Answer 5.
Answer:
x = 5
Step-by-step explanation:
6/10 = 3/x
cross multiply to get 30 ( 3x10 )
then divide by 6
to get the end answer of 5
hipe this makes sense
Elizabeth has a loyalty card good for a 10% discount at her local grocery store. What would her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $37.60? Round to the nearest cent.
Answer:
$33.84
Step-by-step explanation:
Sale price = price - 10% = 90%
90% = 0.9
37.6(0.9) = $33.84
Hewp me! I need help oh will give brainliest!
Answer:
D
Move the variable to the left hand side and change its sign,
Calculate like-terms
Divide both sides of the inequality by -19 and flip the inequality sign
= D
Hope this helps!
Answer:
I hope this is right
Step-by-step explanation:
i think the answer is D
Which of the following equations have infinitely many solutions
Answer:
All options
Step-by-step explanation:
In each option, the left and right side of the equation are identical, meaning whatever values that \(x\) take will result in the left and right side of the equation to be equal. This means that the equation will have infinitely many solutions.
Hope this helps :)
Multiply the inequalities.
8<10 and 1/4<1/2
Answer:
32
Step-by-step explanation:
I NEED HELP PLEASE, THANKS! :)
Answer:
1st option
Step-by-step explanation:
When you graph the equation in a graphing calc, you will see that when x goes to negative infinity, f(x) goes to positive infinity. When x goes to positive infinity, f(x) goes to negative infinity.
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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A bus makes a stop at 2:30, letting off 10 people and letting on 7. The bus makes another stop ten
minutes later to let off 4 more people. How does the number of people on the bus after the second stop
compare to the number of people on the bus before the 2:30 stop?
Answer:
It doesnt
Step-by-step explanation:
Answer:
There are 7 fewer people.
Step-by-step explanation:
This can be calculated just via simple adition and subtraction.
10 people got off the bus, so that is a negative 10 with a positive 7 afterwards as people got on the bus:
-10 + 7 = -3
Now another 4 people got off the bus:
-3 -4 = -7
Therefore there are 7 fewer people on the bus after the second stop when compared to the stop at 2:30.
Hope this helps!
Show that if m
∗
(A)=0, then m
∗
(AUB)=m
∗
(B)
A and B have the same elements, the measure of AUB will be equal to the measure of B.
To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
- By definition, a null set has a measure of 0.
- Since m*(A) = 0, it implies that A has no elements or its measure is 0.
- Therefore, A is a null set.
2. If A is a null set, then AUB = B:
- Since A is a null set, it means that it has no elements or its measure is 0.
- In set theory, the union of a null set (A) with any set (B) results in B.
- Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
- Since AUB = B, it implies that both sets have the same elements.
- The measure of a set is defined as the sum of the measures of its individual elements.
- Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
- Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).
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Please help and quickly please and 20 points with brainelest
Thank you
Answer: The answer is B. 34
Step-by-step explanation:
3(12−9)+5^2
=(3)(3)+5^2
=9+5^2
=9+25
=34
Answer:
The answer is 34
Step-by-step explanation:
Order of operation is P.E.M.D.A.S. , or parenthesis, exponents, multiplication or division, then addition or subtraction.
3(12-9)+5² Parenthesis3(3)+5² Exponents3(3)+25 Multiplication9+25 Addition34 Answer7. a) Use the integral test to show that the series converges. 2 - 1/3 nh b) Use the integral test error bounds to find the minimum n required to approximate the sum of the series accurate to 4 decima
The series 2 - 1/(3n) diverges according to the integral test. Since the series diverges, there is no minimum value of n that will accurately approximate the sum of the series to four decimal places.
The problem involves using the integral test to determine the convergence of a given series and then using the error bounds of the integral test to find the minimum value of n required to approximate the sum of the series accurately to four decimal places.
a) To determine the convergence of the series 2 - 1/(3n), we can use the integral test. The integral test states that if f(x) is a positive, continuous, and decreasing function on the interval [1, ∞) such that f(n) = a(n), then the series Σa(n) converges if and only if the improper integral ∫[1, ∞) f(x) dx converges.
In this case, we can consider f(x) = 1/(3x). Since f(x) is positive, continuous, and decreasing for x ≥ 1, we can apply the integral test. Integrating f(x) from 1 to infinity, we have:
∫[1, ∞) 1/(3x) dx = (1/3)ln(x)|[1, ∞) = (1/3)ln(∞) - (1/3)ln(1).
The integral (1/3)ln(∞) is undefined, but (1/3)ln(1) = 0. Therefore, the integral diverges.
According to the integral test, since the integral diverges, the series Σa(n) = 2 - 1/(3n) also diverges.
b) To find the minimum value of n required to approximate the sum of the series accurately to four decimal places, we can use the error bounds provided by the integral test. The error bound for the integral approximation of the series is given by:
|Rn - Sn| ≤ ∫[n+1, ∞) f(x) dx,
where Rn represents the remainder term and Sn represents the partial sum of the series up to the nth term.
Since the series diverges, there is no fixed value of n that will give an accurate approximation to four decimal places. As the number of terms increases, the sum of the series will keep growing. Therefore, it is not possible to find a minimum value of n that will satisfy the given condition.
In summary, the series 2 - 1/(3n) diverges according to the integral test. Since the series diverges, there is no minimum value of n that will accurately approximate the sum of the series to four decimal places.
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8 and 1/32 are powers of what number
Answer:
2
Step-by-step explanation:
Both 8 and 1/32 are powers of 2.
2³ is 8, since 2*2*2=8.
2^-5 is 1/32.
2^5 is 2*2*2*2*2, and the negative sign in front of the 5 flips the answer to be 1/32
Which could be the entire interval over which the function, f(x), is positive? (–[infinity], 1) (–2, 1) (–[infinity], 0) (1, 4)
To determine the interval over which the function f(x) is positive, we need to find the values of x that make f(x) greater than zero.
Given the answer choices, we can see that the only interval where f(x) is positive is (1, 4).
To confirm this, we can check the function f(x) for each interval:
1. For the interval (-∞, 1), if we plug in any value of x that is less than or equal to 1, we get a negative or zero result. So this interval does not satisfy the condition.
2. For the interval (-2, 1), if we plug in any value of x between -2 and 1, we get a negative or zero result. So this interval does not satisfy the condition.
3. For the interval (-∞, 0), if we plug in any value of x that is less than 0, we get a negative or zero result. So this interval does not satisfy the condition.
4. For the interval (1, 4), if we plug in any value of x between 1 and 4, we get a positive result. So this interval satisfies the condition.
In conclusion, the entire interval over which the function f(x) is positive is (1, 4).
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an agricultural field test compares two varieties of corn, silver queen and country gentlemen. the researches takes 10 plots and divides each of these plots in half. each plot has a similar amount of sun light, shade, quality of soil and irrigation. the variety of corn is randomly chosen for each half of a plot. after the harvest, the yield of corn is measured for each half plot at each location. the yield from silver queen was compared to the yield of country gentlemen. note: differences were taken by taking silver queen - country gentlemen the 95% confidence interval for the mean is (-0.223, 0.988). what can we expect will be the p-value for a two sided test using this data?
The solution to this problem is the p-value must be higher than 0.05.
Confidence interval definition:A confidence interval in frequentist statistics is a range of estimates for an unobserved parameter. The most common confidence level for computing confidence intervals is 95%, however other levels, including 90% or 99%, are sporadically employed.
Here ,
In this given problem we can see confidence interval has 0 in it.
So,
Since the confidence interval comprises 0, the null hypothesis should be rejected.
When the p-value exceeds the level of significance, the null hypothesis is only rejected.
Since alpha=0.05 in this case, the p-value must be higher than 0.05.
Thus, the p-value must be higher than 0.05.
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The four control points in 2D plane are Po(0,0) ?, (1, 1), P₂ (2,-1) and P3 (3,0). The tangent veehrs at the end points are Po'(1,1) & P3'(1,1). Determine the intermiclate points on the Humite curve at t = 1/3 & 2/3
The Hermite curve with four control points P0(0,0), P1(1,1), P2(2,-1), and P3(3,0) has tangent vectors P0'(1,1) and P3'(1,1) at the endpoints. To determine the intermediate points on the curve at t = 1/3 and t = 2/3, we can use the Hermite interpolation formula.
The Hermite interpolation formula allows us to construct a curve based on given control points and tangent vectors. In this case, we have four control points P0, P1, P2, and P3, and tangent vectors P0' and P3'.
To find the intermediate point at t = 1/3, we use the Hermite interpolation formula:
P(t) = \((2t^3 - 3t^2 + 1)P0 + (-2t^3 + 3t^2)P3 + (t^3 - 2t^2 + t)P0' + (t^3 - t^2)P3'\)
Substituting the given values:
\(P(1/3) = (2(1/3)^3 - 3(1/3)^2 + 1)(0,0) + (-2(1/3)^3 + 3(1/3)^2)(3,0) + ((1/3)^3 - 2(1/3)^2 + (1/3))(1,1) + ((1/3)^3 - (1/3)^2)(1,1)\)
Simplifying the equation, we can find the coordinates of the intermediate point at t = 1/3.
Similarly, for t = 2/3, we use the same formula:
\(P(2/3) = (2(2/3)^3 - 3(2/3)^2 + 1)(0,0) + (-2(2/3)^3 + 3(2/3)^2)(3,0) + ((2/3)^3 - 2(2/3)^2 + (2/3))(1,1) + ((2/3)^3 - (2/3)^2)(1,1)\)
Calculating the equation yields the coordinates of the intermediate point at t = 2/3.
In this way, we can use the Hermite interpolation formula to determine the intermediate points on the Hermite curve at t = 1/3 and t = 2/3 based on the given control points and tangent vectors.
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Lardy plc produce semi-conductors for the computer industry and they have just won a contract from a major laptop producer worth £210,000 if they deliver the products on time, but there will be a £100,000 penalty if the products are late. Lardy plc believe there is a 20% chance that they would not be able to deliver the semi-conductors on time and so they explore the possibility of sub-contracting the work to Blarney plc.
Blarney pic would definitely be able to complete the products on time but they would charge £140,000 to do this. In comparison Lardy plc would only incur total costs of £60,000 to complete the order.
If Lardy plc start to produce the order but discover partway through that they cannot complete it on time then they can either reject the whole contract by paying a penalty of £20,000 or they could late sub-contract the work to Blarney plc on the same terms as in the previous paragraph. However, if they do this then there is a 30% chance that Blarney plc will not complete the work on time and that Lardy plc will incur the £100,000 late penalty. Required:
a. Draw a decision tree for Lardy plc including all relevant data on the diagram. This can be drawn by hand or electronically. [15 marks]
b. Calculate expected values as appropriate and recommend a course of action for Lardy plc with your reasons and any assumptions that you have made. [12 marks]
c. Macher and Mowery (2003) estimate that there is a learning rate of 85% in the semi- conductor industry. What exactly does this mean? You should explain what a 'learning rate' is and what the figure 85% means in this context. [6 marks] TOTAL 33 MARKS
a) Decision tree for Lardy plc including all relevant data on the diagram is given below:
b) To calculate expected values as appropriate and recommend a course of action for Lardy plc with the reasons, we need to create a decision tree.
Expected value is calculated by multiplying each outcome by its probability and adding them together.
Hence, the expected value at each node of the tree is calculated and represented in the diagram below.
It is assumed that the probability of not being able to deliver the semi-conductors on time without sub-contracting the work to Blarney pic is 20% and the probability of delivering the semi-conductors on time with Blarney pic is 100%.
So, based on the decision tree, the expected value of sub-contracting is £64,000 and the expected value of producing the semi-conductors on their own is £70,000.
Thus, Lardy plc should sub-contract the work to Blarney pic with expected values being the decision criteria.
Because the expected value of sub-contracting is less than the expected value of producing the semi-conductors on their own, it makes more financial sense to sub-contract the work.
c) Macher and Mowery (2003) estimate that there is a learning rate of 85% in the semiconductor industry.
A learning curve refers to the rate at which learning occurs during a process or activity.
It demonstrates how the time required to complete a task decreases as the number of times the task is done increases.
The learning curve shows the relationship between the cost of production and the volume of goods manufactured.
As the production volume of semiconductors increases, the cost of production per unit decreases due to increased learning by the production workers, which leads to increased productivity.
Macher and Mowery (2003) estimated an 85% learning rate for the semiconductor industry, which implies that the production cost of semiconductors will decline by 15% each time the cumulative production volume doubles.
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The Golf King Driving Range is installing a huge net to catch long golf drives. The poles to hold the net up are 50 feet high. The contractor needs to run a wire from the top of the pole to the ground to keep the poles and the net secure. This wire is called a guy wire. a. If the guy wire runs from the top of the pole to a point on the ground 22 feet from the base of the pole, how long must the guy wire be? Round up to the next highest foot. b. What is the slope of the guy wire, expressed as a fraction?
The guy wire must be about 55 feet long and the slope of the guy wire, expressed as a fraction is 25/11.
We can use the Pythagorean Theorem to find the length of the guy wire. Let's call the length of the guy wire "g".
g^2 = 50^2 + 22^2
g^2 = 2500 + 484
g^2 = 2984
g ≈ 54.65
So the guy wire must be about 55 feet long.
The slope of the guy wire is the ratio of the vertical distance it covers to the horizontal distance it covers. In this case, the vertical distance is 50 feet (the height of the pole) and the horizontal distance is 22 feet. So the slope is
50/22 = 25/11
Therefore, the slope of the guy wire is 25/11.
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Explain the Error Tina says that 6 :8 is equivalent to 36 :64. What did Tina
do wrong?
Answer:
she multiplied the numbers to itself
A plant currently measures 5.5 inches tall and will grow at a rate of 1 inch per week. Andrew wants to graph this information for his Science Fair project. If x represents the number of weeks and y represents the height of the plant, which choice below correctly describes the y-intercept in this relationship?
(5.5, 0)
(0,1)
(0, 5.5)
(1, 5.5)
Answer:
0, 5.5
Step-by-step explanation:
when they ask for a y-intercept, x is always zero, so now we eliminate two of the answers, and we will only have (0, 1) or (0, 5.5). At the beginning of the question it said a plant is currently at 5.5, so it started as 5.5 (0, 5.5)
so THE ANSWER IS (0, 5.5)
PLZ MARK ME AS BRAINLIEST.
Which of the following are measures of central tendency of the first psychology exam in a semester?
►The average score on the exam was an 85.
►The median score on the exam was an 80.►The correlation coefficient was +0.85.
►The most frequently occurring exam score was an 82.
►The scores varied from 95 to 65.
►The standard deviation was 5.
The measures of central tendency of the first psychology exam in a semester are the average score, which was an 85.
The correlation coefficient and the range of scores from 95 to 65 are not measures of central tendency either.
The standard deviation is a measure of variability, not central tendency, that the measures of central tendency of the first psychology exam are the average and median scores. This states that the mode, correlation coefficient, range of scores, and standard deviation are not measures of central tendency.
Hence, the measures of central tendency for the first psychology exam in a semester are the average score (85) and the median score (80).
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The measures of central tendency for the psychology exam scores include the average, median, and mode.
Explanation:The measures of central tendency of the first psychology exam in a semester include the average score, median score, and mode (most frequently occurring score).
The average score on the exam was 85, which represents the mean of all the scores.
The median score on the exam was 80, which represents the middle value when all the scores are arranged in order.
The most frequently occurring score was 82, which represents the mode of the scores.
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Find the value of x to the nearest tenth.
7
10
6
Answer:
2524868254
Step-by-step explanation:
0pork si pana espero haberte ayudado
You use generally accepted facts (such as: there are approximately 6 billion people on the planet. ) without citing them is it plagiarism?
No, this not plagiarism .You can use generally accepted facts without citing them.
What defines self-plagiarism?
Self-plagiarism is defined as a type of plagiarism in which the writer republishes a work in its entirety or reuses portions of a previously written text while authoring a new work.
What is considered general knowledge in plagiarism?
Common knowledge is typically defined as facts that are unsupported by at least five reliable sources. In the discipline of composition studies, for instance, the statement "Writing is difficult" is taken for granted because at least five reliable sources may support it.How to Avoid plagiarism common knowledge?
Quoting correctly, paraphrasing and summarizing correctly, and documenting (citing) correctly are the keys to providing credit and avoiding plagiarism; you can go to page 3 of this handout for more information. Almost all of the information you discover in outside sources needs to be documented.Learn more about plagiarism
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Please help me !! 20 points!
Answer: the answer is $3,084
Step-by-step explanation:
The reason i got this answer is because i added $329 + $699 x 3 = $3,084
Answer:
$3,084Step-by-step explanation:
add the cost of ipad and iphone
$329 + $6991028 x 3 people$3,084complete the table. (round your answers to four decimal places. assume x is in terms of radian.) lim x→0 6 cos(x) − 6 x
To complete the table, we need to evaluate the limit as x approaches 0 of the given expression: lim x→0 (6cos(x) - 6x)
To do this, we can use L'Hopital's rule. Taking the derivative of both the numerator and denominator, we get: lim x→0 (-6sin(x) - 6)
Plugging in x=0, we get: -6sin(0) - 6 = -6
Therefore, the limit as x approaches 0 of 6cos(x) - 6x is equal to -6.
Here is the completed table: | x | 0.1 | 0.01 | 0.001 | 0.0001 | |--------|-----------|-----------|-----------|-----------| | f(x) | 5.994988 | 5.99995 | 5.999995 | 5.9999995 | | g(x) | 0.6001675 | 0.060005 | 0.006 | 0.0006 | | h(x) | 9.994988 | 9.99995 | 9.999995 | 9.9999995 | | lim | -6 | -6 | -6 | -6 |
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What is the Pythagorean Theorem. Please explain.
The graph of y=3x is shown. What is the value of x when y=27?
A. 2
B. 3
C. 9
D. 24
It said c was wrong
Answer:
x = 3
Step-by-step explanation:
Is x an exponent?
\( y = 3^x \)
\( 27 = 3^x \)
\( 3^3 = 3^x \)
\( x = 3 \)
if every possible code between 000-999 has equal chance of being chosen, how long (approximate time) will it take, in the average case, to guess the code?
10 choose 3 with replacement gives you a mere 220 combinations. A “combination” lock uses permutations, so there would be 1000 possibilities.
What is Combination?
Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.
Mathematically, a combination is a selection of things without regard for order.
The formula for “combination with replacement” is:
\(C^{R} (n,r)=\frac{(n+r-1)!}{r! (n-r)!}\)
10 choose 3 with replacement gives you a mere 220 combinations.
The toss of three identical 10-sided dice would have 220 possible outcomes.
Hence, A “combination” lock uses permutations, so there would be 1000 possibilities.
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What is the volume of this container?HELPPPPP
Answer:
(2×4×4)+(3×2×4)
56 is the answer
I need help pleeeeaaasseee
Answer:
A. {x | 1 ≤ x ≤ 3 }
Step-by-step explanation:
You want the domain of the graph shown.
DomainThe domain is the horizontal extent of the graph. The left graph (for part a. shown) extends from x=1 to x=3. The domain is ...
{x | 1 ≤ x ≤ 3 }