Step-by-step explanation:
remember, the area of a triangle is
baseline × height / 2
so, for this one the area is
13 × 4 / 2 = 13×2 = 26 ft²
Help please, solve for x and y
Answer:
x = 8
y = 20
Step-by-step explanation:
To find x, you can divide the total perimeter (128) by 4 to get one side length of the square:
128 ÷ 4 = 32
Next, to get x, you solve the equation:
4x = 32
Divide by 4 on both sides:
x = 8
Then, to find y, you can use the properties of a square to know that all diagonals are equal. Therefore, since AC = 40 BD = 40 as well. You can divide 40 by 2 to get the length of BE, which is half as long as BD:
40 ÷ 2 = 20
y = 20
Therefore, x = 8 and y = 20.
I hope this helps!
Find (g • f) (3)
f(x) = |x+2|
g(x) = -x^2
a. -25
b. 1
c. 4
d. -15
Step-by-step explanation:
Given
f(x) = |x + 2|
g(x) = - (x)²
Now
(g•f) (3) = g ( 3 + 2 )
= g(5)
= - (5)²
= -25
Hope it will help :)
At the beginning of the summer, Jenna had saved $166. To earn money over the summer, she is working part time at the local
community center. She will earn $23 per day of work. If x represents the number of days she works, which of the following
equations represents how much money she will have, including her savings?
Jenna will have total money, y= 166 + 23x.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Jenna had saved $166.
She will earn $23 per day of work
If x represents the number of days she works the she will earn
= 23x
So, She will have total
= 166+ 23x
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Point s is on line segment rt. given rt = 19 and rs = 6, determine the length st
Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.
What is the length of a line segment collinear to another line segment?
According to the statement seen in this question, the line segments RT and ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:
RT = RS + ST
ST = RT - RS
ST = 19 - 6
ST = 13
Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.
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For class 6 a)a square can be taught of as a special rectangle. b)a rectangle can be thought of as a special parallelogram. c)a square can be thought of as a special rhombus. d) squares , rectangles , parallelograms are all quadrilaterals. e) square is also a parallelogram. please answer fast
Correct statements are:
a) A square can be thought of as a special rectangle.
d) Squares, rectangles, and parallelograms are all quadrilaterals.
e) A square is also a parallelogram.
Incorrect statements are:
b) A rectangle cannot be thought of as a special parallelogram. A rectangle is a special type of quadrilateral, but it does not have the same properties as a parallelogram.
c) A square cannot be thought of as a special rhombus. While a square is a special type of rhombus, not all rhombuses are squares.
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can someone please help me
solve the system by substitution
2x=y
5x+5y=-15
(?,?)
Answer:
(-1,-2)
Step-by-step explanation:
hope this helps .
If Jose’s house is at -6,8 Tyrell’s house is at 6,8 the football field is at 6,-5 and Jose went to Tyrell’s house then to the football field how far did Jose travel to football practice
Answer:
25 = units Jose travelled
Jh to Th = x moves 12 across
and y moves 0 is constant (up/down or constant)
Th to FF = x moves 0 stays constant and y moves 13 left
12 + 13 = 25
The purpose of this exercise is concerning parabolas = curve equations
x has two points x = -6 and x = 6
y has two points y = -5 and y = 8
however we cant plot this as ANSWER without using all the coordinates
y has one answer unit at 13 and not shown in an equation if it was the y intercept or curve mid point it would be a straight line and not a curve at 13 we can therefore set y to zero 0 as mid point curve when drawing the curve.
Then to find the each unit change we could prove with straight line upon the parabola by first using the straight line equation formula y-y1 = m(x+x1)
Straight line equation
Plug in Jose's coordinates given in the question.
Therefore y - - 6 = 6 (x + 8 ) = y+6 = 6x + 46 multiply out
= y+6 = 6x + 46 -6 cancel out with -6
= y = 6x+40
the answer therefore becomes y=6x+40
Plug in the same for Tyrell coordinates given in the question.
y - 6 = -6 (x + 8 ) = y-6 = -6x + 46 multiply out
= y-6 = -6x - 46 + 6 cancel out with +6
= y = -6x+52
and is a decrease of 6 i various ways.
Plug in for Football field coordinates given in the question.
y-6 = -6(x -5)
= y -6 = -6x +30
= y = -6x + 30+6
= y = -6x + 36
Shows constant 6 and -6 for m the slope and 46-36 = 10 decrease each side from 0 being the curve mid point on x line. down into the mid curve |
= 10+10 to represent each side = 20 then +5 = 25
As the shift in the curve makes negative positive and positive negative.
= 25 units
State whether each of the following statement is true or false. Justify your answer.
(i) {2,3,4,5} and {3,6} are disjoint sets.
(ii) {a,e,i,o,u} and {a,b,c,d} are disjoint sets
(iii) {2,6,10,14} and {3,7,11,15} are disjoint sets
(iv) {2,6,10} and {3,7,11} are disjoint sets
The answer is (i) The statement is False, (ii) The statement is false, (iii) The statement is true, (iv) The statement is true.
(i) Let A = {2, 3, 4, 5} and B = {3, 6}
Now A∩B
= {2, 3, 4, 5} ∩ {3, 6} = {3}
Hence, A and B are not disjoint. So the statement is false.
(ii) Let A = {a, e, i, o, u} and B = {a, b, c, d}
Now A∩B
= {a, e, i, o, u} ∩ {a, b, c, d}= {a}
Hence, A and B are not disjoint. So the statement is false.
(iii) Let A = {2, 6, 10, 14} and B = {3, 7, 11, 15}
Now, A∩B
= {2, 6, 10, 14} ∩ {3, 7, 11, 15} = Φ
Hence, A and B are disjoint sets. So the statement is true.
(iv) Let A = {2, 6, 10} and B = {3, 7, 11}
Now A∩B
= {2, 6, 10} ∩ {3, 7, 11} = Φ
Hence, A and B are disjoint sets. So the statement is true.
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a scientist has a sample of randomly selected undergraduate students complete a questionnaire. the major finding of this questionnaire was that 69% of students reported feeling anxiety prior to taking exams. which type of validity is least important for this type of claim?
Construct validity, which refers to the degree to which a measure is related to other measures of the same construct, is least important for this type of claim.
There are several types of validity that are used to evaluate the validity of research findings, including statistical validity, content validity, and construct validity.
In this case, the major finding of the questionnaire was that 69% of students reported feeling anxiety prior to taking exams. Statistical validity, which refers to the degree to which the sample accurately represents the population, is important for this type of claim because it helps to ensure that the findings are generalizable to the larger population of undergraduate students.
Content validity, which refers to the degree to which the measures used in the research accurately reflect the concept being studied, is also important for this type of claim. In this case, it is important to ensure that the questionnaire accurately measured anxiety in students prior to taking exams.
Construct validity, which refers to the degree to which a measure is related to other measures of the same construct, is least important for this type of claim. While construct validity is important in some research contexts, it is less relevant for this particular finding because the focus is on the prevalence of anxiety in students prior to taking exams, rather than on the relationship between anxiety and other constructs.
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Factor each expression into its simplest form
2x+8
Answer:
2(x+4)
Step-by-step explanation:
common denominator is 2
Answer:
2(x+4)
Step-by-step explanation:
..............
Explain the implications of theories you learnt in the course on board structure. You may use one or more of the following theories: Stakeholder Theory, Resource Dependence Theory, Transaction Cost Theory and Stewardship Theory. Give 5 implications in total and their justification based on the theory.
Example: ------ Theory suggests that there should be more independent directors on the board because-------- 5 marks
The theories provide valuable insights for organizations to consider when managing relationships with stakeholders, securing resources, reducing transaction costs, promoting stewardship, and making strategic decisions.
Board structure is influenced by various theories, including Stakeholder Theory, Resource Dependence Theory, Transaction Cost Theory, and Stewardship Theory. These theories provide insights into effective board composition and functioning.
Using the theories of Stakeholder Theory, Resource Dependence Theory, Transaction Cost Theory, and Stewardship Theory, here are five implications for board structure and their justifications based on these theories:
1. Stakeholder Theory: The board should include representatives from diverse stakeholder groups.
- Justification: Stakeholder Theory posits that organizations should consider the interests of all stakeholders. By including representatives from various stakeholder groups on the board, the organization can ensure that the perspectives and interests of different stakeholders are adequately represented and considered in decision-making processes.
2. Resource Dependence Theory: The board should establish and maintain external relationships with key resource providers.
- Justification: Resource Dependence Theory suggests that organizations depend on external resources to survive and thrive. To secure necessary resources, the board should actively develop and maintain relationships with key resource providers, such as suppliers, financiers, and strategic partners. This enables the organization to ensure a stable supply of resources and reduce dependence on a single source.
3. Transaction Cost Theory: The board should establish clear and transparent governance mechanisms and structures.
- Justification: Transaction Cost Theory emphasizes the importance of minimizing transaction costs in organizational arrangements. By establishing clear governance mechanisms and structures, such as formal policies, procedures, and decision-making frameworks, the board can reduce ambiguity, information asymmetry, and potential opportunistic behavior. This enhances transparency, accountability, and trust within the organization.
4. Stewardship Theory: The board should foster a collaborative and supportive culture among directors and executives.
- Justification: Stewardship Theory suggests that individuals are motivated to act in the best interests of the organization when they perceive themselves as stewards rather than mere agents. To cultivate a stewardship orientation, the board should promote a collaborative and supportive culture that encourages directors and executives to work together towards common goals. This facilitates information sharing, cooperation, and a sense of collective responsibility.
5. Stakeholder Theory: The board should incorporate stakeholder perspectives into strategic decision-making processes.
- Justification: Building upon Stakeholder Theory, the board should ensure that stakeholder perspectives are actively considered in strategic decision-making processes. By involving relevant stakeholders in discussions, conducting impact assessments, and considering their input, the board can make more informed and inclusive decisions. This helps to align organizational strategies with stakeholder interests and enhance long-term sustainability.
These implications reflect the integration of various theories into board structure considerations, aiming to address stakeholder interests, resource dependencies, transaction costs, and foster stewardship-oriented behavior within organizations.
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find the measure of the arc AC
I NEED HELP ASAP PLS HURRY
Answer: C
Step-by-step explanation: The slope of Function A is 6 and the slope of Function B is 5.
katrina wants to estimate the proportion of adult americans who read at least 10 books last year. to do so, she obtains a simple random sample of 100 adult americans and constructs a 95% confidence interval. matthew also wants to estimate the proportion of adult americans who read at least 10 books last year. he obtains a simple random sample of 400 adult americans and constructs a 99% confidence interval. assuming both katrina and matthew obtained the same point estimate, whose estimate will have the smaller margin of error? justify your answer.
With the same point estimate, Matthew's estimate will have a smaller margin of error due to the larger sample size and wider confidence interval.
The margin of error is influenced by the sample size and the chosen confidence level. Generally, a larger sample size leads to a smaller margin of error, and a higher confidence level leads to a larger margin of error.
Matthew's sample size is four times larger than Katrina's sample size (400 vs. 100). Assuming they obtained the same point estimate, Matthew's estimate will have a smaller margin of error compared to Katrina's estimate. This is because a larger sample size allows for more precise estimation and reduces the variability in the estimate.
Additionally, Katrina constructed a 95% confidence interval, while Matthew constructed a 99% confidence interval. A higher confidence level requires a wider interval to capture the true population parameter with a higher degree of certainty. Therefore, Matthew's estimate will have a smaller margin of error compared to Katrina's estimate.
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April ought some sports drinks and slices of pizza for her friends. She bought 3 more sports drinks than slices of pizza. If her total was $21.25, how many sports drinks did she purchase?
(1 sports drink is $1.75, one pizza slice is $2.75)
{System of Operations}
s= p+3
(number of sports drinks= s)
(pizza slices= p)
Tamera's punch recipe calls for 4 liters of lemon-lime soda and 8 liters of pineapple juice. Lien's punch recipe requires 2 liters of lemon-lime soda and 6 liters of pineapple juice. Which recipe has a higher ratio of lemon-lime soda to pineapple juice?
Tamera's punch recipe has a higher ratio of lemon-lime soda to pineapple juice.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
The ratio for Tamera's recipe is 4 liters of lemon-lime soda to 8 liters of pineapple juice or a ratio of 4:8.
The ratio for Lien's recipe is 2 liters of lemon-lime soda to 6 liters of pineapple juice or a ratio of 2:6.
Since 4 is greater than 2, Tamera's recipe has a higher ratio of lemon-lime soda to pineapple juice.
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Mackenzie built the small LEGO set. It cost $5.49.
Caleb built the large LEGO set.
How much do you think the large LEGO set cost?
what kind of triangle is bcd
Answer:
C. obtuse
Step-by-step explanation:
Obstuse is a triangle with ONE angle bigger than 90 degrees.
The triangle ΔBCD will be an acute triangle. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The measure of the angle BCD is 70°. And the exterior angle of the angle BDC is 130°. The sum of the interior and exterior angles is 180°. Then the measure of the angle BDC will be
∠BDC + 130° = 180°
∠BDC = 50°
Then the measure of angle CBD will be given as,
∠CBD + ∠BDC + ∠DCB = 180°
∠CBD + 70° + 50° = 180°
∠CBD = 60°
The measure of all the angles of the triangle is less than 90°. Then the triangle ΔBCD will be an acute triangle. Then the correct option is B.
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Find WX.
Write your answer as an integer or as a decimal rounded to the nearest tenth.
The value of the length of side WX is 5. 04
What are trigonometric identities?Trigonometric identities are simply described as equalities of a function involving trigonometry functions and asserts true for all the values of variables given in the equation.
There are various different trigonometric identities involving the side length as well as the angle of a triangle. These identities are;
secant sinecosinetangentcosecantcotangentUsing the sine identity, we have
sin 46 = WX/7
cross multiply
WX= 7sin 46
find the value and multiply
WX = 5. 04
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Find the value of x.
Answer:
x = 5
Step-by-step explanation:
Given 2 secants from an external point to the circle, then
the product of the external part and the entire secant of one is equal to the product of the external part and the entire secant of the other, that is
(x - 2)(x - 2 + x + 4) = 4(4 + 5)
(x - 2)(2x + 2) = 4 × 9
2x² + 2x - 4x - 4 = 36 ( subtract 36 from both sides )
2x² - 2x - 40 = 0 ( divide through by 2 )
x² - x - 20 = 0 ← in standard form
(x - 5)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 4 = 0 ⇒ x = - 4
But x > 0 , then x = 5
guess my favorite number between 15-30
Answer:
20
Step-by-step explanation:
The number 20 can signal greatness defined. This number can also define why you live and your purpose. We all are special. We all shine! Be positive! 20 also signals that you can be young but old at the same time.
lol ion know i think... 21-
Find the measure of B
View picture for full equation:) please and thank you!
Answer:
60°
Step-by-step explanation:
There is a supplementary angle, so we know that 180°-100° would give 80°.
A triangles angles add up to 180, so 80+40=120
180-120=60°
Answer:
60 degrees
Step-by-step explanation:
Hi there!
Angle NAB and angle CAB are supplementary angles, meaning they add up to 180 degrees. First, solve for angle CAB:
180 - 100 = 80
Therefore, angle CAB measures 80 degrees.
The sum of the interior angles of a triangle is always 180 degrees. Now, we can solve for angle B by subtracting 80 and 40 from 180:
180 - 80 - 40 = 60
Therefore, angle B measures 60 degrees.
Another way we can solve this is by viewing the 100-degree angle as an exterior angle of a triangle. The two opposite interior angles always add up to an exterior angle of a triangle.
100 = 40 + 60
Therefore, angle B measures 60 degrees.
I hope this helps!
A chocolatier makes chocolate bon-bons in the shape of a sphere with a radius of 0.8 cm. the chocolate used in the bon-bons has a density of 1.3 g/cm 3 3 . if the chocolate used costs $0.03 per gram, how much would the chocolate for 110 bon-bons cost, to the nearest cent?
The cost of the chocolate for 110 bon-bons as per given radius , density and cost is equal to $8.80 to the nearest cent.
Volume of a sphere with radius r is ,
V = ( 4/3 )πr³
Radius 'r' of each chocolate bon-bon is 0.8 cm,
Volume of each bon-bon is equals to,
V = ( 4/3 )π (0.8)³
= 2.144 cm³
Density 'ρ' of the chocolate is 1.3 g/cm^3,
Mass 'm' of each bon-bon is equals to,
m = ρV
= ( 1.3 ) ( 2.144 )
= 2.78grams
The cost of the chocolate used in each bon-bon is $0.03 per gram,
This implies,
Cost of the chocolate used in one bon-bon is ,
= ( 0.03 ) × 2.78
= 0.0834
Rounding to the nearest cent, the cost of the chocolate for one bon-bon is $0.08.
Cost of the chocolate for 110 bon-bons,
= 110 × 0.08
= 8.8
Therefore, the chocolate for 110 bon-bons would cost $8.80 to the nearest cent.
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The difference between a number x and 4
helpppp question on the image.
Answer:
10 the next day
Step-by-step explanation:
Using the least common multiple
3, 6, 8
The least common multiple is 24
24 hours from 10 the next day
Peter guesses on all 10 questions of a multiple-choice quiz. Each question has 4 answer choices, and Peter needs to get at least 7 questions correct to pass. Here are some probabilities computed using the binomial formula: P(getting exactly 7 correct) = 0.0031 P(getting exactly 8 correct) = 0.000386 P(getting exactly 9 correct) = 2.86 × 10−5 P(getting exactly 10 correct) = 9.54 × 10−7. Using the information, combine the individual probabilities to compute the probability that Peter will pass the quiz.
a. 0.001
b. 0.002
c. 0.0035
d. 0.005
Using the information, combine the individual probabilities to compute the probability that Peter will pass the quiz is (c) 0.0035.
Probability of Peter Passing QuizTo compute the probability that Peter will pass the quiz (i.e., get at least 7 questions correct), we need to sum the probabilities of getting exactly 7, exactly 8, exactly 9, and exactly 10 questions correct.
So, the probability of passing the quiz is:
P (getting at least 7 correct) = P (getting exactly 7 correct) + P (getting exactly 8 correct) + P (getting exactly 9 correct) + P (getting exactly 10 correct)
= 0.0031 + 0.000386 + 2.86 × 10⁻⁵ + 9.54 × 10⁻⁷
= 0.0035
Therefore, the result is c. 0.0035.
The binomial formula can be used to solve a wide range of problems in probability and statistics. The binomial formula is used to calculate the probability of getting a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure).
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Write the equation of the polynomial with the given roots in standard form.
x=-4 (multiplicity of 2)
x=2i
Answer:
sorry not sure
Step-by-step explanation:
Find the probability of exactly four successes in five trials of a binomial experiments in which the probability of success is 40%
Answer:
0.0768 or 7.68%
Step-by-step explanation:
(5 choose 4)*0.4^4*0.6=0.0768
10. Unlocked for sale The "sold" listings on a popular auction website included 20 sales of used "unlocked" phones of one popular model. Here are the sales prices. 450 415 495 300 325 430 370 400 325 400 235 330 304 415 405 449 355 425 299 355 (a) Find the percentile of the phone that sold for $330. (b) What was the sales price of the phone that was at the 75th percentile?
a) The percentile of the phone that sold for $330 is; 29%
b) The sales price at 75th percentile is; $425
How to find the percentile?In statistics, a percentile is a term that describes how a score compares to other scores from the same set.
From the given set of data showing the sales prices, let us sort them out from smallest to largest;
Sort the data values from smallest to largest:
235, 299, 300, 304, 325, 325, 330, 345, 355, 355, 370, 400, 400, 405, 415, 415, 425, 430, 449, 450, 495
It should be noted that 6 of the 21 data values are smaller than 325.
The percentile is then the number of data values that are less than the individual's data value divided by the number of data values in total, written as a percentage.
Thus;
Percentile = (Total number of data values/Number of data values that are less than the individual’s data value) × 100%
= 6/21 × 100%
≈ 0.2857 × 100%
= 28.57 % ≈ 29%
At 75th percentile, we have;
0.75 = x/21
x = 21 * 0.75
x = 15.75
Thus, the selling price of the phone at the 75th percentile is greater than 16 of the 21 phones. This phone has a selling price of at least $425
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It takes Boeing 29,454 hours to produce the fifth 787 jet. The learning factor is 75%. Time required for the production of the eleventh 787 : 11th unit time hours (round your response to the nearest whole number).
The estimated time required for the production of the eleventh 787 jet is approximately 14,580 hours.
To calculate this, we start with the given information that it takes Boeing 29,454 hours to produce the fifth 787 jet. The learning factor of 75% indicates that there is an expected reduction in production time as workers become more experienced and efficient. This means that each subsequent jet is expected to take less time to produce compared to the previous one.
To determine the time required for the eleventh 787, we apply the learning factor to the time taken for the fifth jet. We multiply 29,454 hours by the learning factor of 0.75 to obtain 22,090.5 hours. Since we are asked to round the response to the nearest whole number, the estimated time for the eleventh 787 is approximately 22,091 hours.
However, we are specifically asked for the time required for the eleventh unit, which implies that the learning factor is not applied to subsequent units beyond the fifth jet. Therefore, we can directly divide the estimated time for the fifth jet, which is 29,454 hours, by the number of units (11) to calculate the time required for the eleventh 787. This gives us an estimated production time of approximately 14,580 hours.
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