Answers
_________
\( \: \)
\( \triangle \sf \: abc = \triangle \sf \: xyz\)
Soo :
Ab = Xy Bc = Yz Ca = ZxTriangle in the picture.
Related Questions
itaimle fentan' th the yen +1 Mime chose Sowe Mitide chices asccereiond pls: * attonach 7= Which of the liliswing in a cintical ritik to the wocest of yod tritivees plan? Mrryin Dreite hisculte ievitor: porinumalike Q.wide Orete be Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager. Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following plans is most useful for demonstrating a new technology or service or to reach a market that is widely spread out? Mutiple Choice an irvertion plan a proof-of-concept website an operational plan a screening plan Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan Connie is in trouble because she does not know what a business plan looks like. Which of the following statements about the market section of the classic business plan is not true? Muniple Choice The market section bullds on material you may have developed in the IDEO, business model canvas, and feasibility analyses done eatilier, Marketing plans remain the same across any multiple target audiences; Target audiences are aiso ealled custamer segments. Some people prefer to relocate the compettion and competilve advantage section from the market section to the industry section. Connie decides to open "Connie's Corner Café" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following is a critical risk to the success of your business plan? Mulitiple Choice overlooked competition assumptions given for the financials adequate paybock direct customer connection Connie decides to open "Connie's Corner Café" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. Which of the following pitch deck categories is sometimes given in the form of a user's experience? Multiple Cholce product sides problem slide solution slide introductory slide Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks like. There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is get the listener Multiple Choice to make a micro-commitment. provide feedback look at your invention plan, to piedge money Connie decides to open "Connie's Corner Cafe" and finds the ideal location for her venture. However, it appears that Connie will have to approach Investors or bankers for financial backing. When she talks to her local bank manager, Mr. Johnson, he immediately asks for Connie's business plan. Connie is in trouble because she does not know what a business plan looks llike. A good marketing strategy is most likely to focus on Multiple Choice productiservice description. key activities and operations: value proposition. the longerterm competitive plan.
Answers
The plan that is most useful for demonstrating a new technology or service or to reach a market that is widely spread out is a proof-of-concept website
How to explain the informationThe statement about the market section of the classic business plan that is not true is that some people prefer to relocate the competition and competitive advantage section from the market section to the industry section.
A critical risk to the success of your business plan is Overlooked competition.
The pitch deck categories that is sometimes given in the form of a user's experience is Problem slide.
There are two goals you can seek in the "ask" of your elevator pitch. One is to build your network and the other is to get the listener to Make a micro-commitment
A good marketing strategy is most likely to focus on the longer-term competitive plan.
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Help! See the image below! :)) thank you!!
Answers
(a) The answer is The Allen family earns $24,000 more than the Reed family.
(b) The answer is The Allen family earns more than about 87% of families in their county.
Which of the following must be true about the Allen family's income?The other options do not necessarily have to be true. It is possible for the Read family to earn more than the Allen family, but if the $24,000 difference is given, then the Read family must earn less. It is also possible for both families to earn more than the median income, or for both to have incomes in the bottom half of incomes in their county, but this is not necessarily true based on the information given.(b) The answer is (O) The Allen family earns more than about 87% of families in their county.The first option, The Allen family earns less than about 87% of families in their county, cannot be determined based on the information given. The second option, The Allen family earns about 87% of the highest income in their county, is not necessarily true. The third option, The Allen family earns more than about 87% of families in their county, is the only one that is logically consistent with the information given in the problem. The fourth option, The Allen family earns about 13% of the highest income in their county, cannot be determined based on the information given.To learn more about income refer:
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The differential equation of a control system is given below.
d² f(t)/dt + 5 df (t)/dt +4ƒ(t) = e¯2x u(t)
A) Find the transfer function T(s) = F(s) / U(s)
of the system.
B) By showing the poles of the system in the complex S-plane, explain whether the system is stable
or not.
Answers
The system is stable as the real part of both poles is negative.
A) The transfer function of the system is \(T(s) = F(s) / U(s) = 1/(s²+5s+4).\)
B) The poles of the transfer function T(s) are given by s = -4 and s = -1. Both of these poles have negative real parts, which means that the system is stable.
Given differential equation is \(:d² f(t)/dt² + 5 df(t)/dt +4ƒ(t) = e¯2x u(t).\)
We have to find the transfer function T(s) and by showing the poles of the system in the complex S-plane, explain whether the system is stable or not.
Let's start: A) Find the transfer function T(s) = F(s) / U(s) of the system.
The transfer function T(s) is defined as the ratio of output F(s) to input U(s) taking Laplace transform of the given differential equation we get:
\($$\frac{d^2F(s)}{dt^2}+5\frac{dF(s)}{dt}+4.\)
\(F(s)=e^{-2s}U(s)$$$$s^2\)
\(F(s)-sf(0)-f'(0)+5sF(s)-f(0)+4\)
\(F(s)=\frac{1}{s+2}$$$$s^2\)
\(F(s)+5sF(s)+4F(s)=\frac{1}{s+2}+f(0)(s+5)+f'(0)(s+1) $$$$(s^2+5s+4)\)
\(F(s)=\frac{1}{s+2}+f(0)(s+5)+f'(0)(s+1)$$$$\)
\(T(s)=\frac{F(s)}{U(s)}=\frac{1}{s^2+5s+4}$$B)\)
By showing the poles of the system in the complex S-plane, explain whether the system is stable or not.
The poles of the transfer function T(s) are the roots of the denominator polynomial s²+5s+4.Hence poles are given by
\(s = [-5 ± √(5²-4.4.1)] / 2s = [-5 ± √(9)] / 2s = -4 or -1\)
Hence the system is stable as the real part of both poles is negative.
A) The transfer function of the system is \(T(s) = F(s) / U(s) = 1/(s²+5s+4).\)
B) The poles of the transfer function T(s) are given by s = -4 and s = -1. Both of these poles have negative real parts, which means that the system is stable.
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please help i need an answer ASAP
Answers
= 128.57.
= 7 (b).
The narrator of Fever 1793 helps readers imagine Philadelphia summers by describing
1.church bells tolling.
2.mosquitoes, blowflies, and hornets buzzing.
3.visiting the newspaper office.
4.Eliza leaving for the Free African Society meeting.
Answers
Answer:bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
The narrator of Fever 1793 helps compendiums imagine Philadelphia summers by describing about mosquitoes, blowflies, and hornets buzzing.
What's Narration?This refers to the liar of an event to talk about an event in the order of circumstance.
Given
The opening judgment of Fever 1793," From the moment Colette Ogilvie passed out, Philadelphia's church bells chimed continuous.
The narrator of Fever 1793 makes it easy for readers to picture her upbringing by expressing her love for the nation, describing how it felt to see her words printed, confessing to counting on her fingers, and describing how it felt to voice her anger with front-of-the-house service.
On the road corners, shots were fired, and a cannon was fired in the public forecourt to clear the air. In addition to that, hornets, blowflies, and mosquitoes swarmed about us continuous.
The noise was annoying." Illustration demonstrates how mosquitoes, blowflies, and hornets agonized Philadelphians with unheroic fever in 1793.
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the intensity in the interference pattern of n identical slits is given by i=i0[sin(nϕ/2)sin(ϕ/2)]2.
Answers
The intensity in the interference pattern of n identical slits is given by the formula:
I = I₀ [sin(nϕ/2) sin(ϕ/2)]²
Here's a step-by-step explanation of the terms in this formula:
1. I is the intensity at a point in the interference pattern.
2. I₀ is the maximum intensity at the center of the pattern (i.e., when ϕ = 0).
3. n is the number of identical slits.
4. ϕ is the phase difference between the waves from adjacent slits at the point being considered.
To find the intensity at a specific point in the interference pattern, you need to know the values of I₀, n, and ϕ. Then, you can simply plug these values into the formula and calculate the intensity I.
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What percentage of this shape is shaded?
Answers
We can see that 11 out of 25 squares are shaded, thus, by dividing 11 by 25 to get the decimal value 0.44 which as a percentage is 44%
Find the indefinite integral:
∫ πsinxπ (dx)
Answers
Therefore:
pi sin(x pi)
becomes
-cos(x pi) + C
Where C is any Constant.
A researcher sampled 88 students and plans to run a one sample t-test. Calculate the degrees of freedom for a one-sided test with an alpha level of .05.
Answers
The degrees of freedom for a one-sample t-test with an alpha level of .05 and a sample size of 88 students is 87.
The degrees of freedom are calculated by subtracting 1 from the sample size, which in this case is 88 - 1 = 87. The degrees of freedom represent the number of independent pieces of information available for estimating the population parameter.
In this context, it reflects the number of students in the sample whose scores can vary freely while still being able to estimate the population mean. The t-distribution is used in the t-test to determine the critical value for hypothesis testing and to calculate the p-value.
In a one-sample t-test, the researcher is comparing the mean of a single sample to a known or hypothesized population mean. The degrees of freedom are a crucial parameter in determining the critical value from the t-distribution. The formula to calculate the degrees of freedom is simply the sample size minus 1. In this case, the sample size is 88, so the degrees of freedom would be 87.
Having 87 degrees of freedom means that the sample data has 87 independent pieces of information that contribute to estimating the population mean. With this information, the researcher can use the t-distribution table or statistical software to find the critical t-value for a one-sided test with an alpha level of .05.
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The sum of two numbers is 20.The difference is 4 what are the numbers?
Answers
what is the solution to the equation startfraction 1 over h minus 5 endfraction startfraction 2 over h 5 endfraction
Answers
The solution to the equation (1/(h-5)) - (2/h) = 0 is h = 10.
To find the solution to the equation startfraction 1 over h minus 5 endfraction startfraction 2 over h 5 end fraction, we need to first simplify the equation. To do this, we need to find a common denominator for the two fractions.
The least common multiple of h and 5 is 5h, so we can rewrite the equation as:
startfraction 5h over h(5h) minus 25 over h(5h) endfraction
Now, we can combine the fractions by subtracting the numerators:
startfraction 5h - 25 over h(5h) endfraction
Simplifying further, we can factor out 5 from the numerator:
startfraction 5(h - 5) over h(5h) endfraction
Finally, we can cancel out the common factor of 5:
startfraction h - 5 over h^2 endfraction
Therefore, the solution to the equation startfraction 1 over h minus 5 endfraction startfraction 2 over h 5 end fraction is startfraction h - 5 over h^2 endfraction.
Hi! To solve the equation involving the given fractions 1/(h-5) and 2/h, let's follow these steps:
Write down the given equation.
(1/(h-5)) - (2/h) = 0
Find the least common denominator (LCD) of the fractions.
In this case, the LCD is h * (h-5).
Multiply each fraction by the LCD to eliminate the denominators.
[(1/(h-5)) * h * (h-5)] - [(2/h) * h * (h-5)] = 0 * h * (h-5)
Simplify the equation.
(h * 1) - (2 * (h-5)) = 0
Distribute the negative sign and solve for h.
h - 2h + 10 = 0
Combine like terms.
-h + 10 = 0
Add h to both sides of the equation.
10 = h
So, the solution to the equation (1/(h-5)) - (2/h) = 0 is h = 10.
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Which statement is true about f(x) + 2 = 1/6 |x-3| ?
A) The graph of f(x) has a vertex of (–3, 2).
B) The graph of f(x) is a horizontal compression of the graph of the parent function.
C) The graph of f(x) opens downward.
D) The graph of f(x) has range of f(x) ≥ –2.
Answers
Answer:
Option D.
Step-by-step explanation:
Statement given,
f(x) + 2 = \(\frac{1}{6}|x - 3|\)
Or f(x) = \(\frac{1}{6}|x-3|\) -2
Parent function, g(x) = |x|
Absolute value function g(x) when shifted 3 units right,
g'(x) = |x - 3|
Vertically compressed by \(\frac{1}{6}\) units and shifted 2 units down, then the new function will be
f(x) = \(\frac{1}{6}|x - 3|-2\)
Characteristics of the graph of this function:
1). Vertex at (3, -2).
2). Vertical compression of the parent function by \(\frac{1}{6}\).
3). Graph opens upwards.
4). Range of the graph f(x) is f(x) ≥ -2.
Therefore, Option D will be the answer.
a box plot is drawn using a 12- inch ruler as the scale. The box extends from 3.5 inches to 6.0 inches. Which of the following represents the upper boundary for outliers (that is the smallest value beyond which you will find outliers)? A. 10.5 inches
B. 6 inches
C. 7.25 inches
D. 3.75 inches
E. 9.75 inches
please help :)
Answers
The upper boundary for outliers is 9.75 inches if a box plot is drawn using a 12- inch ruler as the scale option (E) is correct.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
It is given that:
a box plot is drawn using a 12- inch ruler as the scale. The box extends from 3.5 inches to 6.0 inches.
From the definition of the box plot, the method of abstracting a set of data is approximated using an interval scale.
In the case of a box plot drawn with a 12-inch ruler as the scale, the upper limit for outliers is 9.75 inches.
Thus, the upper boundary for outliers is 9.75 inches if a box plot is drawn using a 12- inch ruler as the scale option (E) is correct.
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FP!!!!!!!!!!!!!!!!!!!!!
(10 x 100 ) + 980 = ?
Answers
Answer:
Ans = 1980
Step-by-step explanation:
(10 x 100 ) + 980 = (1000) + 980
therefore
1980 is the answer
Determine whether the problems are asking for the number of permutations, combinations, or neither. there are 6 people on the board of supervisors for a homeowners’ association. how many different 3-person committees could be formed from the 6 people? permutations combinations neither permutations nor combinations in a production of romeo and juliet, eight actors are considered for the male roles of romeo, mercutio, and benvolio. in how many ways can the director cast the male roles? permutations combinations neither permutations nor combinations
Answers
The first problem is asking for the number of combinations which is 20, while the second problem is asking for the number of permutations which is 336.
In the first problem, the homeowners' association needs to form a committee of 3 people from a board of 6 supervisors. Here, the order in which the committee members are selected does not matter, and only the combination of individuals is important. Therefore, the problem is asking for the number of combinations, and the formula to calculate it is nCr = n! / (r!(n-r)!), where n is the total number of items (6 supervisors) and r is the number of items to be selected (3 committee members). Thus, the answer to the first problem is the number of combinations: 6C3 = 6! / (3!(6-3)!) = 6! / (3!3!) = (6x5x4) / (3x2x1) = 20.
In the second problem, the director needs to cast the male roles of Romeo, Mercutio, and Benvolio from a pool of 8 actors. Here, the order in which the actors are selected matters, as each actor will be assigned to a specific role. Therefore, the problem is asking for the number of permutations, and the formula to calculate it is nPr = n! / (n-r)!, where n is the total number of items (8 actors) and r is the number of items to be selected (3 roles). Thus, the answer to the second problem is the number of permutations: 8P3 = 8! / (8-3)! = 8! / 5! = (8x7x6) / (3x2x1) = 336.
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Please someone help me with this
Answers
0.75355=x/1000
X=753.55
Answer is C
Answer:
Option c
Step-by-step explanation:
Since tangent = op/adj, in this case the tan37 would be x/1000.
Then, set it up as an algebra problem.
tan37 = x/1000
Multiply both sides by 1000, so 1000tan37=x
that simplifies to x = 753.6
The windchill is 25 below zero. It rises 6 degrees per hour for 6 hours. What would the new windchill be?
Answers
Answer:
11
Step-by-step explanation:
6*6=36
-25+36=11
Jonathan Martinez has $85 deducted from his monthly pay for his group health insurance. His employer
pays 60% of the cost. What is the annual premium amount for Jonathan's group health insurance?
Answers
Answer: $1632 is his total annual premium for health insurance
Step-by-step explanation:
85*.60=$51
His employer pays $51 per month
you would multiply 51 by 12 to get the employers amount and them multiply 85 by twelve then you would add the two to get the total which should be his annual premium amount
$51*12 months=612
$85*12=1020
1020+612=1632
a survey of 400 non-fatal accidents showed that 173 involved faulty equipment. find a point estimate for p, the population proportion of accidents that involved faulty equipment
Answers
Based on a survey of 400 non-fatal accidents, where 173 involved faulty equipment, the point estimate for the population proportion (p) of accidents that involved faulty equipment is 173/400 = 0.4325.
To calculate the point estimate for the population proportion, we divide the number of accidents involving faulty equipment (173) by the total number of accidents surveyed (400).
This gives us a ratio of 0.4325, which represents the estimated proportion of accidents involving faulty equipment in the population.
A point estimate is a single value that serves as an approximation or best guess for an unknown population parameter.
In this case, the population proportion (p) represents the proportion of all accidents that involved faulty equipment. The point estimate of 0.4325 suggests that approximately 43.25% of non-fatal accidents may involve faulty equipment based on the sample data.
It's important to note that this point estimate is subject to sampling variability and may not perfectly reflect the true population proportion. To obtain a more precise estimate with a measure of uncertainty, one would need to consider confidence intervals or conduct hypothesis testing using statistical methods.
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original price of a sweater:19.50 discount:20 percent
Answers
Answer:
19.30
Step-by-step explanation:
if your finding the discounted price, you'd take 20% and turn it into .20 and then subtract 19.50 and .20
test the hypothesis that the mean weight of the two sheets is equal (μ1−μ2)against the alternative that it is not (and assume equal variances). find the t-stat to 3 decimal places.
Answers
To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:
t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))
where:
x1 and x2 are the sample means of the two sheets,
s_p is the pooled standard deviation,
n1 and n2 are the sample sizes.
The pooled standard deviation (s_p) can be calculated using the following formula:
s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))
where:
s1 and s2 are the sample standard deviations.
To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.
Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.
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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.
The t-statistic for a paired t-test is calculated as follows:
t = (X1 - X2) / (s / √n)
where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.
Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.
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Angle x is ___ degrees ASAP DUE IN A HOUR
Answers
Answer:
122°
Step-by-step explanation:
180-58=122
you minus angle BCA from 180 is because a straight line is 180 degrees
Answer:it would probably be 180 because it is a straight line
Step-by-step explanation:
PLEASE HELP ASAP
I think it’s supposed to be an arithmetic series or sequence.
Kaydence is saving for an RRSP. She saved $100 the first year, $200 the second year, $300 the third year, and so on. If she put $100 away on January 1, 2014, $200 away on January 1, 2015, and continued to put money away on the first of each year, how much money would Kaydence have saved by the end of the day on January 1, 2050?
Answers
Answer:
$70,300
Step-by-step explanation:
The amount Kaydence saved is the value of an arithmetic series with first term 100 and common difference 100. The number of terms in the sum is 37. The formula for the sum can be used.
Sum of an arithmetic seriesThe formula for the sum of n terms of an arithmetic series is ...
Sn = (2a1 +d(n -1))(n/2) . . . . . . first term a1, common difference d
ApplicationThe number of terms being added is ...
2050 -2014 +1 = 37 . . . . . . years Kaydence made deposits
The formula with a1=100, d=100, and n=37 is ...
\(S_{37}=(2\cdot100+100(37-1))\dfrac{37}{2}=\dfrac{(200+3600)\cdot37}{2}\\\\S_{37}=70,\!300\)
Kaydence would have saved $70,300 by the end of Jan 1, 2050.
What is SSS SAS ASA and AAS?
Answers
SSS - Side - Side - Side
SAS - Side - Angle - Side
ASA - Angle - Side - Angle
AAS - Angle - Angle - Side
The above theorems can be used to compare two triangles.
SSS, which stands for "side, side, side," represents two triangles having identical angles on each of their three sides. Two triangles are said to be congruent if their third sides coincide with those of another triangle.
That is what the SAS regulation says. The triangles are congruent if the two sides and included angle of one triangle match the two sides and included angle of the other triangle. Any angle that may be made by two particular sides is regarded as an included angle.
A triangle is comparable to another if its two matching angles are congruent, according to the AAA postulate of Euclidean geometry. The AAA postulate is derived from the observation that the total internal angle of a triangle is always equal to 180°.
While in case of ASA the angle - side and another angle of first triangle is equal to the corresponding angle - side - angle of other triangle.
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SSS, SAS, ASA, and AAS are four types of triangle congruence.
SSS (Side-Side-Side) is the congruence of three sides of a triangle. This means that all three sides of the triangle have the same length. To prove SSS congruence, you need to show that the corresponding sides of the two triangles have the same length. This can be done by calculating the length of each side and comparing them.
SAS (Side-Angle-Side) is the congruence of two sides and the included angle of a triangle. This means that the two sides of the triangles must have the same length, and the angles between those two sides must also be the same. To prove SAS congruence, you need to show that the corresponding sides of the two triangles have the same length, and that the angles between those two sides are also the same.
ASA (Angle-Side-Angle) is the congruence of two angles and the included side of a triangle. This means that the two angles of the triangles must have the same measure, and the side between those two angles must also be the same length. To prove ASA congruence, you need to show that the corresponding angles of the two triangles have the same measure and that the side between those two angles is also the same length.
AAS (Angle-Angle-Side) is the congruence of two angles and a non-included side of a triangle. This means that two angles of the triangles must have the same measure, and the side not included between those two angles must also be the same length. To prove AAS congruence, you need to show that the corresponding angles of the two triangles have the same measure, and that the side not included between those two angles is also the same length.
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what is the value of 5h(-2)+3g(0)?
Answers
I just put it into the calculator
Answer:
-32Step-by-step explanation:
At x = -2, the h is calculated using the second piece::
h(-2) = (-2 + 3)(-2 - 2) = -4At x = 0, the g is calculated using the first piece:
g(0) = (0 + 1)² - 5 = 1 - 5 = -4The value of the given expression is:
5h(-2) + 3g(0) = 5(-4) + 3(-4) = -32Simplify
(3a ^ 2 * b * (- 2)a * b ^ 3)/(- 12a ^ 3 * b ^ 2)
Answers
If the length of AC is2x and the length of BC is 3x-5, the value of x is
Answers
Answer:
The value of x is 5 units.
Step-by-step explanation:
Complete Question
In the figure CD is the perpendicular bisector of AB. If the length of AC is 2x and the length of BC is 3x - 5 . The value of x is ?
The figure is presented in the attached image to this solution.
Solution
Using the concept of similar triangles,
We can prove that triangles CDA is similar to triangle CDB.
This can be proved using the SAS congruence property that two sides and an angle between them are the same.
- Side AD = Side DB (Given in the diagram)
- Angle CDA = Angle CDB = 90° (Also evident from the diagram)
- Side CD = Side CD (common side to the two triangles)
Hence, it is evident that
Side AC = Side CB
2x = 3x - 5
3x - 2x = 5
x = 5 units.
Hope this Helps!!!
Consider a situation where Ron (R) and Nancy (N) have demands for a private good that can be represented by the following functions: D_R: Q_
−
= 8-2P_R D_N: Q_N = 7- P_N If Ron and Nancy are the only two consumers of this private good and the supply function for the good is: S:Q=−1+P What is the aggregate quantity of the good they buy?
Answers
The aggregate quantity of the good that Ron and Nancy buy is 6 units.
To find the aggregate quantity, we need to determine the equilibrium quantity where the demand and supply functions intersect. The demand functions for Ron and Nancy are given as \(D_{R}\): \(Q_{R}\)= 8 - 2\(P_{R}\) and \(D_{N}\): \(Q_{N\) = 7 - \(P_{N}\), respectively. The supply function is S: Q = -1 + P.
To find the equilibrium quantity, we set the quantity demanded equal to the quantity supplied:
\(Q_{R}\) + \(Q_{N\) = Q
Substituting the demand and supply functions, we have:
(8 - 2\(P_{R}\) ) + (7 - \(P_{N}\)) = -1 + P
Simplifying the equation, we get:
15 - 2\(P_{R}\) - \(P_{N}\) = -1 + P
Rearranging the equation, we have:
\(P_{R}\) + \(P_{N}\) + P = 16
Since the total price is equal to 16, we know that the aggregate quantity is equal to the sum of the quantities demanded:
Q = \(Q_{R}\) + \(Q_{N\) = (8 - 2\(P_{R}\) ) + (7 - \(P_{N}\)) = 15 - 2\(P_{R}\) - \(P_{N}\)
Substituting the values of \(P_{R}\) = \(P_{N}\) = 5 into the equation, we find:
Q = 15 - 2(5) - 5 = 6
Therefore, the aggregate quantity of the good that Ron and Nancy buy is 6 units.
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Two thirds of the length of a sheet of plywood is 70mm. Calculate the total length.
Answers
Answer:
105 mm
Step-by-step explanation:
So this means 1/3 of the length is 35 mm. Now just multiply 35 by 3 to get the whole. 35*3=105. So 105 mm.
Answer:
105mm
Step-by-step explanation:
2/3= 70mm
70mm/2=35
35*3= 105
It takes 5 machines 6 hours to produce 1000 DVDs
Work out how long it would take 4 machines to produce
1000 DVDs.
Answers
Explanation:
We can use the principle of direct proportionality to determine how long it would take four machines to produce the same number of DVDs if five machines could produce 1000 DVDs in six hours.
The variables need to be defined:
- Let this be the amount of time it takes for four machines to make one thousand DVDs.
Suppose that k is the proportionality constant.
We realize that the quantity of machines and the time are contrarily corresponding, so we can compose:
We can simplify the equation by dividing 5 machines by 6 hours to get 4 machines by t hours to get k.
We can now use k to determine the value of t when four machines are utilized: k = 5 machines less than 6 hours / (4 machines less than t hours) k = 15 / (2t).
4 machines x t hours equals 5 machines x 6 hours / k 4 machines x t hours equals 5 machines x 6 hours (2t) / 15 4t = 4t. Accordingly, it would take 4 machines to produce 1000 DVDs in the following amount of time:
5 machines × 6 hours/(4 machines) = 7.5 hours
So 4 machines would require 7.5 hours to create 1000 DVDs.
ANSWER:
7.5 hours
Step-by-step explanation:
5x6=30
then
4xx=30
x=30÷4
x=7.5