Answer:
add 4x to both sides
Step-by-step explanation:
because -9x is the only thing on the left you want to move all the x's to the left
The auxiliary equation for the given differential equation has complex roots. Find a general solution. y''-10y' 29y=0
Answer:
[tex]y = Acos5x - Bsin5x[/tex]
Step-by-step explanation:
Given the differential equation y''-10y'+29y=0
First, we need to rewrite it as an auxiliary equation as shown:
Let y'' = m²y and y' = my
Substitute the values into the general equation
m²y-10my+29y = 0
Factor out y:
(m²-10m+29)y = 0 [The auxiliary equation]
Solve the auxiliary equation and find the roots of the equation
m²-10m+29 = 0
m = -b±√(b²-4ac)/2a
a = 1, b = -10, c = 29
m = -10±√(10²-4(1)(29))/2(1)
m = -10±√(100-116)/2
m = -10±√-16/2
m = (-10±4i)/2
m = -10/2 + 4i/2
m = -5+2i
Comparing the complex number with a+bi, a = -5 and b = 2
The general solution for complex solution is expressed as:
[tex]y = Acosax + Bsinax[/tex]
Substitute the value of a in the equation
[tex]y = Acos(-5)x + Bsin(-5)x\\y = Acos5x-Bsin5x[/tex]
Hence the general solution to the differential equation is [tex]y = Acos5x - Bsin5x[/tex]
I’ll mark brainliest tysm
-13 EX: 2(-4) - 5 = -8 -5 = -13
-7
-1
1
3
THESE ARE THE ANSWERS
13-22 super easy help please wee thank you!
the answer to the equation is -9
PLEASE HELP MATH!!!1
Suppose the time it takes a certain printer to print a document is an Exponential random variable with an average time of 15 seconds. You send a document to the printer at 1:00pm, and it is the third document in the queue. What is the probability that your printout will be ready by 1:01pm
Answer:
0.8046
Step-by-step explanation:
We're asked to calculate the probability that the job will be ready by 1.01 pm
From the question, we can note that the parameter of an Exponential is E(X)= 15
Next, to calculate the third job probability, we will have to use Poisson Distribution with parameter 1/λ
Therefore, E(Y) = 1/15
Then, The third job will be ready for 1:01 pm, and thus E(Y) = 61/15
Therefore, the required probability is
P(X ≥ 3) = 1 - P(X < 3)
= 1 - Poisson(3,4, true)
= 1 - 0.1954
= 0.8046
How much will cost to buy beef for a family of 2 if each person gets 1/2 pound of beef and the beef cost 5.99 per pound?
Answer:
it will cost 5.99
Step-by-step explanation:
because each person getting half and there are 2 peeps so add up the meet to make on pound
Jan designs a new logo for Kim's website. Kim pays Jan $45 for 5 hours of work. How much will Kim pay Jan for 15 hours of work?
am not sure but i think its 135$
i divided 45 by 5 to get the pay per hour
then multipled 9 by 15 to get the answer
am not the best in maths so its better u get someone to check if before u submit.
Answer:
675
Step-by-step explanation:
$45✖15 hours=675
so you see what we did here is multiply the money amount by the hour .
HOPE IT HELPS :)PLEASE GIVE ME brilliant!!!5 1
1)
4 3
What is the anwser
Same Thing as the first one
can somebody please help me with this quesiotion
Answer:
-3
Step-by-step explanation:
sense its between -2 and -4
*question
What is the number that comes in 21,7,15,11 times table
Answer:
i think it is 105
but 105 divide by 11 is 9.54
Insurance withholding varies depending on whether an entire family is covered or only the employee is covered. True False
Answer:
it would True
Step-by-step explanation:
Three Rivers publishes a catalog each year, last year it had 198 pages back and front. We
print 150 copies. How much does it cost the college if a ream, 500 pages, cost
$7.40 each?
Answer:
$222
Step-by-step explanation:
We need to find how many ream was used in the printing forts, to determine how much the College spent.
The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.
No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.
If 500 pages = 1 realm, therefore,
14,850 pages = 14,850/500 = 29.7.
Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.
If 1 ream costs $7.40, therefore,
30 reams = 30*7.40 = $222
what are the partial products of 9 x 813
Answer:
813
* 9. 9*800= 7200
9*10. =90
7200
90. 9*3. =27
27
7317
The partial product is 7317.
What is partial product?The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place. (So, the 2 in 23 would actually be 20.)
Given:
9 x 813
Now, breaking the number according to their place value.
So, 813
=(800 + 10 +3)
Then the partial product will be written as
=9 * (800 + 10 +3)
=9* 800+ 9*10 + 9*3
=7200 + 90 + 27
= 7317
Hence, the partial product is 7317.
Learn more about partial product here:
https://brainly.com/question/24716925
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For each of the following variables, determine whether the variable is categorical or numerical. If the variable is numerical, determine whether the variable is discrete or continuous. a. Amount of time spent shopping for clothing in the past week b. Preferred brand of shoes c. Number of deliveries received at the household per week d. Most likely time period during which shopping for clothing takes place (weekday, weeknight, or weekend) a. Amount of time spent shopping for clothing in the past week is what kind of variable? categorical continuous numerical discrete numerical b. Preferred brand of shoes is what kind of variable? categorical discrete numerical continuous numerical c. Number of deliveries received at the household per week is what kind of variable? continuous numerical discrete numerical categorical d. Most likely time period during which shopping for clothing takes place is what kind of variable? continuous numerical discrete numerical categorical
Answer:
a. Amount of time spent shopping for clothing in the past week = CONTINUOUS NUMERICAL
b. Preferred brand of shoes = CATEGORICAL
c. Number of deliveries received at the household per week = DISCRETE NUMERICAL
d. Most likely time period during which shopping for clothing takes place (weekday, weeknight, or weekend) = CATEGORICAL
Step-by-step explanation:
Determine whether variable is Categorical or Numerical (Discrete or continuous) :
Categorical variables are used in grouping data values into a defined set of classes or distinct groups. Numerical variables are those usually represented with numbers and this posses numerical meaning. Numerical variables can either be discrete when the values in the dataset are finite or continuous, when values aren't finite and usually uncountable.
a. Amount of time spent shopping for clothing in the past week = CONTINUOUS NUMERICAL
b. Preferred brand of shoes = CATEGORICAL
c. Number of deliveries received at the household per week = DISCRETE NUMERICAL
d. Most likely time period during which shopping for clothing takes place (weekday, weeknight, or weekend) = CATEGORICAL
Categorical Variables : b) Preferred shoe brand; & d) Likely period of shopping
Numerical Continuous Variable : a) Amount of shopping time ; & Numerical Discrete Variable : c) Number of deliveries
Numerical Variables, as the name denotes - can be expressed in numbers. Like : Number of variable x.
Discrete Variables are only in real values : like 1,2,3 etc. Continuous Variables can take values between these real values also : like 1.4 , 1.5 , 2.8 etc. Example : Number of People is discrete, Height & Weight can be continuous.Categorical Variables, as the name denotes - cant be expressed n numbers but rather in categories. Like : A person being man, woman or other gender.
A] Amount of time spent shopping for clothing in the past week : Numerical & Continuous, can be in decimal values like 2.8 , 4.5 hours etc
B] Preferred brand of shoes : Categorical Variable, will be amongst the brand names like Pima, Nuke etc
C] Number of deliveries received at the household per week : Numerical & Discrete , can be only in non decimal whole values - like 4 , 5 , 10 etc
D] Most likely time period during which shopping for clothing takes place : Categorical Variable, will be amongst the mentioned period of weeks or days - like weekday, weeknight, or weekend
To learn more, refer https://brainly.com/question/13258616?referrer=searchResults
Maggie makes blankets to sell. The table shows Maggie’s expense, f(x), her revenue, g(x), and her profit, h(x), per unit of yarn used, x.
Which expresses h(x) as a combined function?
h(x) =
x + f(x)
(f+g)(x)
(f-g)(x)
(g-f)(x)
Answer:
(g-f)(x)
Step-by-step explanation:
You have to subtract expenses from revenue and multiply by yarn to equal profit
what is 12÷ 1 1/5 = nnnnnn
Rewrite 1 1/5 as 6/5
Now you have 12 / 6/5
When dividing by a fraction, flip the fraction over and multiply:
12 / 6/5 = (12 x 5) /6 = 60/6 = 10
The answer is 10
Answer:
8
Step-by-step explanation:
If the polygon is rotated 90' clockwise about the origin, the measure of angle W' is
Answer:
If you are referring to the angle of the polygon, than it is the same, if you are referring to the angle between the initial and final point about the origin, than it's a right angle. If there is a point(x,y) rotated about the origin(0,0), then the new point will be (y,-x).
Please answer correctly, will give brainlist.
Answer:
the answer is 77
Step-by-step explanation:
A measures 32 and B measures 109 so you subtract 109 and 32 and your answer will be 77
Choose the letter of the correct answer Write your answer on a separate
sheet
1. What do you call an expression in fraction form in which the numerator and
the denominator are polynomials?
A. rational algebraic equation
C. rational algebraic expression
B. linear algebraic expression
D. finear algebraic equation
2. In a rational algebraic expression written in the form of where P and Q are
polynomials, the polynomial Q must not be equal to
AO
C 2
B.
D. 3
3. Which of the following is a rational algebraic expression?
Answer:
1. Rational Algebraic Expression
2. 0
3. See explanation
Step-by-step explanation:
Solving (1):
From the list of given options, Option C. Rational Algebraic Expression answers the question.
And it is always of the form P/Q where P and Q are polynomials
Take for instance
P = x² - x + 2 and Q = x² + 2x - 4
P/Q = (x² - x + 2)/(x² + 2x - 4)
The above expression is a perfect example of a Rational Algebraic Expression
Solving (2): The denominator of a rational algebraic expression must not equal 0
Hence, option A answers the question
Solving (3): The options are missing.
However, a perfect example has been sighted on (1) above
I’ll mark brainliest
Answer:
i think $23.40
Step-by-step explanation:
if she used it for 20 mins then that would be 0.08*20=1.60
25-1.60=23.40
hope this helps :3
sorry if im wrong
Evaluate the function for the indicated values of x.
[Look at image]
Answer:
f(-10) = -19
f(2) = 4
f(-5) = -9
f(-1) = 1
f(8) = -5
Step-by-step explanation:
Suppose you are working with a data set that is normally distributed, with a mean of 350 and a standard deviation of 48. Determine the value of x from the following information.
a. 70% of the values are greater than x.
b. x is less than 10% of the values.
c. 24% of the values are less than x.
d. x is greater than 60% of the values.
Answer:
324.848
288.464
316.112
337.856
Step-by-step explanation:
Given that :
Mean (m) = 350
Standard deviation (σ) = 48
Determine the value of x for the following :
Using the z probability calculator :
a.) 70% of the values are greater than x.
1 - 0.7 = 0.3
P(x < 30%) = P(x < 0.3) = - 0.524 = z
Z = (x - m) / σ
x = (z * σ) + m
X = (- 0.524 * 48) + 350 = 324.848
b.) x is less than 10% of the values.
P(x < 0.1) = - 1.282 = z
X = (- 1.282 * 48) + 350 = 288.464
C.) 24% of the values are less than x
P(x < 0.24) = - 0.706 = z
X = (- 0.706 * 48) + 350 = 316.112
D.) x is greater than 60% of the values
P(x > 0.6) = -0.253 = z
X = (- 0.253 * 48) + 350 = 337.856
please help with one and two i have no clue and i’m really stressed, i’ll mark highest :(
Answer:
From Post Office to Store is 7.8 miles Henry would walk 2.2 hStep-by-step explanation:
From Post Office (P) to Library (L) is 6 miles, from Store (S) to Library (L) is 5 miles. And angle SLP is right angle (m∠SLP=90°).
So, from Pythagorean theorem:
[tex]SL^2+PL^2=SP^2\\\\5^2+6^2=SP^2\\\\SP^2=25+36=61\\\\SP=\sqrt{61}=7.810 249...\approx7.8[/tex]
If Henry walks 3.6 mph then:
[tex]3.5\qquad-\quad\quad1\,h \\7.8\qquad-\qquad x\\\\ x=\dfrac{7.8\cdot1\,h}{3.5}=\dfrac{78\,h}{35}=2,22857...\, h\approx2.2\,h[/tex]
A pair of $72 sneakers is marked with a sign "$20 OFF or 20% OFF.
The $20 on final price is ________
The 20% Off final price is ________
Which deal will give you the cheaper final price?
Answer:
$52
$57.6
Step-by-step explanation:
$20 off $72 is equal to 72-20=$52
20% of $72 is $14.4 which will then lead to 72-14.4=$57.6
4.19. A study by Peter D. Hart Research Associates for the Nasdaq Stock Market revealed that 43% of all American adults are stockholders. In addition, the study determined that 75% of all American adult stockholders have some college education. Suppose 37% of all American adults have some college education. An American adult is randomly selected. a. What is the probability that the adult owns stock and has some college education
Answer:
P (S∩E) = 0.1591
Step-by-step explanation:
Let the stockholders be donated by S then the P (s)= 0.43
Let the stockholders having some degree be donated by D then the P (d)= 0.75
Let the American having some college degree be donated by E then the
P (E)= 0.37
As the events are independent their joint probability can be found by multiplying the individual probabilities
P (S∩E) = P(s) . P (E)= 0.43 * 0.37= 0.1591
Suppose an internet marketing company wants to determine the current percentage of customers who click on ads on their smartphones. How many customers should the company survey in order to be 90% confident that the estimated proportion is within five percentage points of the true population proportion of customers who click on ads on their smartphones
Answer:
The value is [tex]n =271[/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 5\% = 0.05[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally we will assume that the sample proportion is [tex]\^ p = 0.5[/tex] since we have no information on the proportion of of customers who click on ads on their smartphones
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.645 }}{0.05} ]^2 * 0.5 (1 - 0.5 ) [/tex]
=> [tex]n =271[/tex]
Using the z-distribution, as we are working with a proportion, it is found that 271 customers should be sampled.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem:
90% confidence level, hence the critical value is z = 1.645.No prior estimate, hence p = 0.5.Within five percentage points, hence M = 0.05.Then:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.05 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.05\sqrt{n} = 0.5 \times 1.645[/tex]
[tex]\sqrt{n} = [10(1.645)][/tex]
[tex](\sqrt{n})^2 = [10(1.645)]^2[/tex]
[tex]n = 270.6[/tex]
Rounding up, 271 customers should be sampled.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Which is the correct comparison symbol to make the number sentence true ( )? 6.53 _____ 6.534
Answer:
<
Step-by-step explanation:
6.53 < 6.534
estimated answer for 3 3/7 x 1 3/4 simplify and type a whole number
Answer:
6
Step-by-step explanation:
3 3/7 * 1 3/4
~Turn into improper fractions
24/7 * 7/4
~Multiply both numerators and denominators.
168/28
~Simplify
6
Best of Luck!
Susan needs to buy apples and oranges to make fruit salad. She needs 15 fruits in all. Apples cost $3 per piece, and oranges cost $2 per piece. Let m represent the number of apples. Identify an expression that represents the amount Susan spent on the fruits. Then identify the amount she spent if she bought 6 apples. 30 + 5m; $36 30 + m; $36 30 + 5m; $24 30 + m; $24
Answer:
m + 30 ; $36
Step-by-step explanation:
Given that:
Total fruits needed = 15
Fruits needed :
Apple (m) ; cost = $3 per piece
Oranges (o) ; cost = $2 per piece
Amount spent on fruits :
[(cost of apple * number of apples) + (cost of orange *(total fruits - number of apples)]
3m + 2(15 - m)
3m + 30 - 2m
3m - 2m + 30
m + 30
Amount spent if 6 apples is purchased :
m = 6
m + 30
6 + 30 = $36