The exact value of A in the general solution is 0 and B is 0
How to determine the value of A and B in the general solutionFrom the question, we have the following parameters that can be used in our computation:
\(y = Ax + Cx^B\)
The differential equation is given as
dx - 4xdy = 0
Divide through the equation by dx
So, we have
1 - 4xdy/dx = 0
This gives
dy/dx = 1/(4x)
When \(y = Ax + Cx^B\) is differentiated, we have
\(\frac{dy}{dx} = A + BCx^{B-1}\)
So, we have
\(A + BCx^{B-1} = \frac{1}{4x}\)
Rewrite as
\(A + BCx^{B-1} = \frac{1}{4}x^{-1}\)
By comparing both sides of the equation, we have
A = 0
B - 1 = -1
When solved for A and B, we have
A = 0 and B = 0
Hence, the value of A in the general solution is 0 and B is 0
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Craig has a job waiting tables where he earns $3.65 per hour plus tips. Craig earned $79.65 in tips during his shift yesterday.
If x represents the number of hours Craig worked yesterday, which of the following equations can be used to find the amount of money Craig earned yesterday?
subtract
It’s probably like 79.65-3.65 and boom that’s the answer
please help explain it step by step
Answer:
452 m
Step-by-step explanation:
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP
9514 1404 393
Answer:
B. (2, 1)
Step-by-step explanation:
As a first guess you might say the right angle will be at the point that has the x-coordinate of A (2) and the y-coordinate of B (1).
You notice that the point (2, 1) is on the list of answer choices, so that is a good choice.
The coordinates of C could be (2, 1).
__
Or, you can plot the points and see what forms a right triangle.
NEED THIS ASAP 50 POINTS UWU
Which property of equality should you apply to keep the equation 22 . a = 242 in balance when solving?
The division property of equality
The subtraction property of equality
The reflexive property
The substitution property of equality
A property of equality that you should apply to keep the equation 22 . a = 242 in balance when solving include the following: A. The division property of equality.
What is the subtraction property of equality?In Mathematics and Geometry, the subtraction property of equality states that the two (2) sides of an algebraic expression or equation would still remain equal even when the same number has been subtracted from both sides of an equality.
Based on the information provided above, we can logically deduce the following equation:
22 . a = 242
22 × a = 242
By applying the division property of equality, we have the following:
a = 242/22
a = 11.
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Which of these is an optional/voluntary deduction?
Ostate income tax
O healthcare insurance
O Medicare tax
O Social Security tax
The mean of the following frequency distribution is 25.2. Find the missing frequency x.
Class
0 - 10
10 - 20
20 – 30
30 – 40
40 - 50
Frequency
8
x
10
11
9
Answer:
Solution:-
Frequency Distribution Frequency Mid values F*M
0 - 10 8 5 40
10 - 20 x 15 15x
20 - 30 10 25 250
30 - 40 11 35 385
40 - 50 9 45 405
_____________________________________________________
Σf = 38+x Σfm = 1080+15x
______________________________________________________
Given Mean = 25.2
Mean = Σfm/Σf
25.2 = 1080+15x/38+x
25.2 × (38+x) = 1080+15x
957.6+25.2x = 1080+15x
25.2x - 15x = 1080 - 957.6
10.2x = 122.4
x = 122.4/10.2
x = 12
Missing frequency = 12 Answer
Hope it helps.
If you have any query, feel free to ask.
I need this TONIGHT!!! Three years ago, Jolene bought $750 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of 5 1/2% per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.) The stock is worth $ now.
Answer:
\(A\approx\$880.68\)
Step-by-step explanation:
So, we know that Jolene bought an initial $750.
We also know that the purchase is increasing at an average rate of 5 1/2 %or 5.5%. In other words, this is being compounded.
So, we can use the compound interest formula, which is:
\(A=P(1+\frac{r}{n})^{nt}\)
Where A is the total amount, P is the principal value, r is the rate and n is the number of times compounded per year, and t is the amount of years.
So, substitute 750 for P. 5 1/2% is the same as 5.5% or 0.055 (you move the decimal two places to the left and remove the percent symbol) so substitute this for r. Since it's increasing yearly, n is 1. So, our formula is:
\(A=750(1+0.055)^t\)
Add:
\(A=750(1.055)^t\)
Since the stock was bought 3 years ago, the value now is t=3. So, substitute 3 for t and evaluate:
\(A=750(1.055)^3\)
Evaluate. Use a calculator:
\(A\approx\$880.68\)
And we're done!
Formula: A = P(1 + r/n)^t
We have these variables:
P = 750
r/n = 0.055
t = 3
Substitute and simplify:
A = 750(1 + 0.055)^3
A = 750(1.055)^3
A = 880.68
Best of Luck!
A hot-air balloon is tied to the ground with two ropes, as shown below. One rope is directly under the balloon and makes a right angle with the ground. The other rope forms an angle of 50° with the ground. Determine the height of the balloon above the ground, to the nearest foot. For this open-ended question, do you want to type your answer or upload the picture of your work on the paper? *
Answer:
84 ft
Step-by-step explanation:
Since this is a right triangle we can use trig functions
sin theta = opp side / hypotenuse
sin 50 = y / 110 where y is the height above the ground
110 sin 50 = y
84.26488 = y
To the nearest foot
84 ft
Answer:
84 feet
Step-by-step explanation:
Since you are given an angle and the length of hypotenuse, you can use the trigonometric function sine.
sinθ = opposite length / hypotenuse length
sin (50) = x / 110
sin(50) * 110 = x
~84 feet
Pleaseee help me solve this question??
Answer:
A. 0$
Step-by-step explanation:
Assuming that the "Office visit" is the emergency room visit, if you look at Plan 2, and in the column "Office Visit cost", you can see that the cost will be 0$.
BRAINLEST + THANKS! (college algebra/ pre-cal)
find the future value of $750 deposited each month at 3.25% for 15 years
Answer:
P=1538.461
Step-by-step explanation:
do it by the formula of
I=PRT, I=750 R=3.25% T=15
PLEASE SOMEONE HELP ASAP!!! -5(p+3/5)=-4 what does the p=?
Answer:
p=1/5
Step-by-step explanation:
Distribute -5 through the parenthese.
Move constant to the righ-hand side and change the sign.
Calculate the sum -5p=-1
Divide both sides by -5
Answer:
1/5
Step-by-step explanation:
Expand the equation
-5p -3= -4
Collect like terms
-5p = -4 +3
-5p = -1
Divide both sides by -5
p = 1/5
Please help! .. 7p5 and 12c4
Permutation is the arrangement of objects in a definite order while Combination is the arrangement of objects where the order in which the objects are selected does not matter.
How to determine this
Using the permutation term
\(_nP_{r}\) = n!/(n-r)!
Where n = 7
r = 5
\(_7P_{5}\) = 7!/(7-5)!
\(_7P_{5}\) = 7 * 6 * 5 * 4 * 3 * 2 * 1/ 2 * 1
\(_7P_{5}\) = 5040/2
\(_7P_{5}\) = 2520
Using the combination term
\(_{n} C_{k}\) = n!/k!(n-k)!
Where n = 12
k = 4
\(_{12} C_{4}\) = 12!/4!(12-4)!
\(_{12} C_{4}\) = 12!/4!(8!)
\(_{12} C_{4}\) = 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 *4 *3 * 2 * 1/4 * 3 *2 * 1 * 8 *7 * 6 * 5 * 4 * 3 *2 * 1
\(_{12} C_{4}\) = 479001600/24 * 40320
\(_{12} C_{4}\) = 479001600/967680
\(_{12} C_{4}\) = 495
Therefore, \(_7P_{5}\) and \(_{12} C_{4}\) are 2520 and 495 respectively
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HELPPPPP PLEASEEEE!!!!
Which system of inequalities represents region Z?
Answer:
Hey there!
The two lines in this graph are: y=-1/5x+2, and y=3x-2
Since y=-1/5x+2 is a dotted line, we know that we use the < or > symbols.
Since y=3x-2 is a straight line, we use the ≤ and ≥ symbols.
Thus, for area z, we have y<-1/5x+2, and y≥3x-2
Hope this helps :)
The time to make beds at a motel should fall into an agreed-on range of times. A sample of four maids was selected, and the time needed to make a bed was observed on three different occasions:
Maid Sample 1 (sec) Sample 2 (sec) Sample 3 (sec)
Ann 120 90 150
Linda 130 110 140
Marie 200 180 175
Michael 165 155 140
a. Determine the upper and lower control limits for an X-bar chart and R-chart with a sample size of four.
b. After the control chart was established a sample of four observations has the following times in seconds: 180, 198, 193, and 218. Is corrective action needed?
The upper and lower control limits for an X-bar chart and R-chart is as follows:
UCL for X-bar chart = 171.54, LCL for X-bar chart = 120.12
UCL for R-chart = 79.87, LCL for R-chart = 0
Therefore, corrective action is needed.
The upper and lower control limits for an X-bar chart and R-chart can be determined using the following formulas:
Upper Control Limit (UCL) for X-bar chart = X-bar + A2 * R-bar
Lower Control Limit (LCL) for X-bar chart = X-bar - A2 * R-bar
Upper Control Limit (UCL) for R-chart = D4 * R-bar
Lower Control Limit (LCL) for R-chart = D3 * R-bar
Where X-bar is the average of the sample means, R-bar is the average of the sample ranges, A2 is a constant based on the sample size, and D3 and D4 are constants based on the sample size.
First, we need to calculate the average of the sample means (X-bar) and the average of the sample ranges (R-bar):
X-bar = (120 + 90 + 150 + 130 + 110 + 140 + 200 + 180 + 175 + 165 + 155 + 140) / 12 = 145.83
R-bar = ((150 - 90) + (140 - 110) + (200 - 175) + (165 - 140)) / 4 = 35
Next, we need to find the values of A2, D3, and D4 for a sample size of four:
A2 = 0.729
D3 = 0
D4 = 2.282
Now we can calculate the upper and lower control limits for the X-bar chart and R-chart:
UCL for X-bar chart = 145.83 + (0.729 * 35) = 171.54
LCL for X-bar chart = 145.83 - (0.729 * 35) = 120.12
UCL for R-chart = 2.282 * 35 = 79.87
LCL for R-chart = 0 * 35 = 0
The average of these observations is 197.25, which is above the upper control limit for the X-bar chart (171.54). Therefore, corrective action is needed.
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How many degrees of freedom does the chi-square test statistic for a goodness of fit have when there are 10 categories?.
Degree of freedom for chi-square test for 10 categories will be 9.
What is chi- square test?
A test that evaluates how well a model matches real observed data is that the chi-square (χ²) statistic. A chi-square statistic can only be calculated with data that's random, unprocessed, mutually exclusive, obtained from independent variables, and drawn from a large enough sample.
The Formula for Chi-Square Is
χ(c)=²∑(Oₐ-Eₐ)₂/Eₐ²
where:
c=Degrees of freedom
O=Observed value(s)
E=Expected value(s)
Main Body:
Degree of freedom = total categories -1
so no. of categories= 10
Degree of freedom = 10 - 1
Hence degree of freedom = 9
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How is the pattern changing to get from one term to the next ? -48, -44, -40, -36, -32, . . .
The given pattern is
\(-48,-44,-40,-36,-32\)We will find the difference between the consecutive terms
\(\begin{gathered} -44-(-48)=-44+48=4 \\ -40-(-44)=-40+44=4 \\ -36-(-40)=-36+40=4 \\ -32-(-36)=-32+36=4 \end{gathered}\)Then the pattern is increasing by 4 units
The pattern is changing by adding 4
Please do the one you are able to do anything is helpful!
Answer:
9. train a = 8.33 hours
train b = 5 hours
time of coincidence = 3.33 hours
Step-by-step explanation:
I'm not sure about this but I think it's correct.
x =
A )10
B) 8
C) 9
Help me please this note is just so it will stop saying this is to short
Answer:
8
Step-by-step explanation:
it just makes sense, 5=10, therefore 4=8.
Roy made a pizza that is 12 inches in diameter. He knows he can eat about 84.8 in, at what angle should Roy cut the pizza in radians? Round your answer to the tenths place.
Answer:
Cutting angle in radian θ = 3π / 2
Step-by-step explanation:
Given:
Diameter of pizza = 12 inch
He can eat = 84.8 inch²
Find:
Cutting angle in radian
Computation:
Radius of pizza = Diameter of pizza / 2
Radius of pizza = 12 / 2
Radius of pizza = 6 inch
Area of sector = [θ/360][πr²]
Area of sector = [θ/360][(π)(6)²]
84.8 = [θ/360][(π)(36)]
θ = 270°
θ = 270[π/180]
θ = 27π / 18
Cutting angle in radian θ = 3π / 2
Three pieces of salmon weigh 11, 200 grams. The weights of the three pieces are in the ratio 8:6:11
. How much does the first piece of salmon weigh?
Mrs. Harris has a piece of lumber that is 11 5/8 inches wide she plans to split the width of the lumber into three equal pieces how wide will each piece be
The size of width of each lumber piece will be 3.875 inches.
What is Algebra?Logic is the arrangement of all those concepts, whereas algebra is the study of abstract concepts.
Making something a little less complicated while both making it easier to attain or understand is the concept of clarity.
Mrs. Harris intends to divide the breadth of a piece of timber that is 11 ⁵/₈ inches broad into three equal pieces.
Convert the mixed fraction number to a decimal number. Then we have
11 ⁵/₈ = 11 + ⁵/₈
11 ⁵/₈ = 11.625 inches
The width of each lumber piece is given as,
⇒ 11.625 / 3
⇒ 3.875 inches
The size of width of each lumber piece will be 3.875 inches.
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does the table show an additive or multiplicative relationship\(x | y\\\5 | 10\\7 | 14\\9 | 18\\\)
The given table shows multiplicative relationship.
What is additive or multiplicative relationship?
Adding the SAME number to any x-value results in the matching y-value, according to additive relationships.
In a multiplicative relationship, the y-value is obtained by multiplying any x-value by the SAME number.
From the table each number in the y - column is the value double of the x - value. That means y - column contains the double value of x - column.
10 = 2(5), 14 = 2(7), 18 = 2(9).
So, y = 2x.
There is a multiplicative relationship between column x and y.
Therefore the table given shows multiplicative relationship.
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(9x+4)-42+83=1
Im confused
Answer:
x=44/9 or 4 8/9
Step-by-step explanation:
which of the following expressions is equivalent to -10?
a.-7 3
b.-3 - 7
c.3 - 7
d.7 - 3
The expression which is equivalent to -10 is the option b, -3 - 7.
Explanation:
We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;
-3 - 7 = -10 (-3 - 7)
The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.
If we add -3 and -7 we will get -10. This makes the option b the correct answer.
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HELP!
You roll two dice numbered 1 to 6. What is the probability of rolling a 2 on both die? Put your answer in fraction
form
Answer:
2/12 :) or even 1/6 if you simplify
Step-by-step explanation:
Answer:
2/12
Step-by-step explanation:
1 dice = 1/6 × 2 because we have to die but this is different from normal multiplication you do the probability of finding 2 in both which is 1+1 over the total number which is 6+6. Therefore your answer would be 2/12
Convert standard form to slope
X-3y=6
Answer:
y = 1/3x -2
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept
x - 3y =6
Subtract x from each side
x-3y-x = -x+6
-3y = -x+6
Divide by -3
-3y/-3 = -x/-3 +6/-3
y = 1/3x -2
During the audit of Wyndham Limited, the auditor used a variety of sampling methods based on areas selected for the audit test. Some methods were statistical and others non-statistical. Due to the extent of the audit, a decision was made to use the work of experts and include work done by internal auditors to supplement audit evidence gathered. An extract of the Statement of Financial Position for year ended 2021 December 31 is as follows: i. Property, plant and equipment $54 000 000 This figure includes buildings valued at $35 000 000; motor vehicles $5 000 000, plant and machinery $9 000 000 and investments $5 000 000 ii. Non-current liabilities amounted to $49 500 000 and current liabilities $2 350 000
C. Explain the following financial statement assertions with regards to account balances reported for buildings and non-current liabilities in the extract above: i. Presentation ii. Valuation (4 marks)
D. Provide TWO (2) reasons that investments would be selected for review by the auditor
The assertion of presentation confirms that the components of the financial statements are shown appropriately.
The management is also responsible for ensuring that the statement is adequately classified, described, and disclosed. Valuation: Valuation assertion affirms that the amounts of assets, liabilities, and equity have been appropriately recorded and stated at the correct amount. Buildings have been valued at $35,000,000 while the non-current liabilities amounted to $49,500,000. The auditor should evaluate if the valuation is accurate and if any impairment has been recognized.
The auditor must ensure that the investment in question exists and that the company owns it. The investment must be in the name of Wyndham Limited and not under another person or company. Ownership and valuation: The auditor should verify that the company has control over the investment and that it's valued correctly. If the investment is accounted for using fair value, the auditor must ensure that the method used is appropriate and consistent with the company's accounting policy. The auditor should also verify that the company's control over the investment justifies the accounting treatment used. The valuation of the investment should be at the correct amount and the disclosures must comply with the relevant accounting standard or IFRS.
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A car accelerates from rest to 25 miles per hour in 3.0 seconds. What was the car's
acceleration?
Answer:
The car's acceleration was 3.73 metre per second square = 3.73m/s²
Step-by-step explanation:
The car accelerated from rest.
initial velocity (u) = 0m/s
final velocity (v) = 25miles/hr = 11.2m/s
time (t) = 3s
a = ?
v = u+at
a = (v-u)/t
a = (11.2 - 0) / 3
a = 11.2/3
a = 3.73
a = 3.73m/s²
a
Describe how to plot the coordinate point: (8, 2)
Answer:
start at 0,0 and move in the x axis 8 points. next, move up 2 points and there is 8,2
Answer:
you will look at a graph go over 8 and up 2 and plot it there