Answers
Answer:
Step-by-step explanation:
3h = 3×7, not 37.
3h + 13 = 3×7 + 13 = 34
Related Questions
Let f be defined by the function f(x) = 1/(x^2+9)
(a) Evaluate the improper integral [tex]\int\limits^{∞}_3 {f(x)} \, dx[/tex] or show that the integral diverges
(b) Determine whether the series ∑n=3∞ f(n) converges or diverges State the conditions of the test used for determining convergence or divergence
(c) Determine whether the series ∑n=1∞(−1)n(en⋅f(n))=∑n=1∞(−1)n(n2+9)en converges absolutely, converges conditionally, or diverges (image put below)
Answers
(a)
[tex]\displaystyle\int_3^\infty \frac{\mathrm dx}{x^2+9}=\lim_{b\to\infty}\int_{x=3}^{x=b}\frac{\mathrm dx}{x^2+9}[/tex]
Substitute x = 3 tan(t ) and dx = 3 sec²(t ) dt :
[tex]\displaystyle\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\frac{3\sec^2(t)}{(3\tan(t))^2+9}\,\mathrm dt=\frac13\lim_{b\to\infty}\int_{t=\arctan(1)}^{t=\arctan\left(\frac b3\right)}\mathrm dt[/tex]
[tex]=\displaystyle \frac13 \lim_{b\to\infty}\left(\arctan\left(\frac b3\right)-\arctan(1)\right)=\boxed{\dfrac\pi{12}}[/tex]
(b) The series
[tex]\displaystyle \sum_{n=3}^\infty \frac1{n^2+9}[/tex]
converges by comparison to the convergent p-series,
[tex]\displaystyle\sum_{n=3}^\infty\frac1{n^2}[/tex]
(c) The series
[tex]\displaystyle \sum_{n=1}^\infty \frac{(-1)^n (n^2+9)}{e^n}[/tex]
converges absolutely, since
[tex]\displaystyle \sum_{n=1}^\infty \left|\frac{(-1)^n (n^2+9)}{e^n}\right|=\sum_{n=1}^\infty \frac{n^2+9}{e^n} < \sum_{n=1}^\infty \frac{n^2}{e^n} < \sum_{n=1}^\infty \frac1{e^n}=\frac1{e-1}[/tex]
That is, ∑ (-1)ⁿ (n ² + 9)/eⁿ converges absolutely because ∑ |(-1)ⁿ (n ² + 9)/eⁿ| = ∑ (n ² + 9)/eⁿ in turn converges by comparison to a geometric series.
Which is greater 1.56 or 1.29
Answers
Answer:
1.56 is greater than 1.29. (Check after the decimal point, 5 is greater than 2, so 1.56 is greater than 1.29)
Answer:
I believe that 1.56 is grater than 1.29.
hope this helps.
You are building a frame for a window. The window will be installed in the opening shown in the diagram. Determine whether the opening is a rectangle. Then give the length of the diagonals.
Answers
Answer:
dfffffdf
Step-by-step explanation:
A poll of 803 adults in the United States found that a majority—60%—said that changes should be made in government surveillance programs. The poll reported a margin of error of 3.5%.
Explain in plain English what we can conclude from this poll.
Answers
We can conclude that most American adults want changes in government surveillance programs. But we can't conclude what specific changes in those programs they want (more surveillance? less? it doesn't say.)
(sin^2x+tan^2x+cos^2x)/(sec^2x) What trig identities are used in solving this as well.
Answers
The main one is the Pythagorean identity,
sin²(x) + cos²(x) = 1
By dividing both sides by cos²(x), you get the tan-sec variant:
sin²(x)/cos²(x) + cos²(x)/cos²(x) = 1/cos²(x)
tan²(x) + 1 = sec²(x)
since tan(x) = sin(x)/cos(x) and sec(x) = 1/cos(x).
So the given expression reduces to
(sin²(x) + tan²(x) + cos²(x)) / sec²(x)
= (1 + tan²(x)) / sec²(x)
= sec²(x) / sec²(x)
= 1
What is the area of this figure
Answers
1/2 . 9 . 8
9 . 4
36 m^2
*parallelogram*
9 . 5
45 m^2
Area = 36 + 45
Area = 81 m^2
Just look at the pic for the question
Answers
Answer: C
Step-by-step explanation:
In circle P with m NPQ = 46 and NP=20 units find area of sector NPQ.
Round to the nearest hundredth.
i will give brainly
Answers
Answer:
Round to the nearest hundredth.
Answer:
160.57
Step-by-step explanation:
The formula is:
[tex]angle/360 *\pi *radius^2[/tex]
Because you find the total area of the circle, but the sector only represents NPQ/360 so you have to multiply the area with that.
[tex]46/360 * \pi *20^2[/tex] = [tex]23/180 * \pi *400[/tex]
= [tex]160.57029...[/tex]
Rounded to the nearest hundredth this would be 160.57
Suppose that a random sample of 20 items is selected from the machine. If the machine produces 5% defectives, find the probability that the sample will contain at least three defectives, by using the following methods. (a) the normal approximation to the binomial (Round your answer to four decimal places.) (b) the exact binomial tables (Round your answer to three decimal places.)
Answers
Answer:
a) 0.0618 = 6.18% probability that the sample will contain at least three defectives.
b) 0.076 = 7.6% probability that the sample will contain at least three defectives
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Sample of 20 items is selected from the machine.
This means that [tex]n = 20[/tex]
5% defectives
This means that [tex]p = 0.05[/tex]
(a) the normal approximation to the binomial
The mean is:
[tex]\mu = E(X) = np = 20*0.05 = 1[/tex]
The standard deviation is:
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.05*0.95} = 0.9747[/tex]
The probability is, using continuity correction, [tex]P(X \geq 3 - 2.5) = P(X \geq 2.5)[/tex] , which is 1 subtracted by the pvalue of Z when X = 2.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.5 - 1}{0.9747}[/tex]
[tex]Z = 1.54[/tex]
[tex]Z = 1.54[/tex] has a pvalue of 0.9382
1 - 0.9382 = 0.0618
0.0618 = 6.18% probability that the sample will contain at least three defectives.
(b) the exact binomial tables
This is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.358[/tex]
[tex]P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.377[/tex]
[tex]P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.189[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.358 + 0.377 + 0.189 = 0.924[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.924 = 0.076[/tex]
0.076 = 7.6% probability that the sample will contain at least three defectives
simplify the following.
12x-3 (y-x)
Answers
Answer:
Divide both with 3.
12/3 = 4x
-3 divided by 3 = -1.
You end up with 4x-1 which is the final simplification.
Step-by-step explanation:
Answer:
This is your answer ☺️☺️☺️. If I'm right so,
Please mark me as brainliest. thanks!!!
2x+5/3=8 solve this equation
Answers
Answer:
x = 19/6
Step-by-step explanation:
5/3 = 1 whole and 2/3
8 - 1 whole and 2/3 = 19/3
2x = 19/3
x = 19/3 ÷ 2 = 19/6
I hope im doing it right.
Can someone actually helped me? People will answer and deleted their comment I really need help
Congruent Angle
Vertical Angle
Adjacent Angle
Complementary Angle
Supplementary Angle
Answers
Answer:
14) ∠CBE = 118° supplementary to 62°
15) ∠ABF = 28° complementary to 62°
16 ∠CBA = 152° because it is vertical to ∠DBF
Step-by-step explanation:
14) ∠CBE = 180° - 62° = 118°
15) ∠ABF = 90° - 62° = 28°
16) ∠DBF = 90°+ 62° = 152°
∠CBA = ∠DBF
Please tell me how and work!!!
Answers
Answer:
2) false, no
3) true, yes
4) false, no
5) true, yes
Principle $1950 rate 4 1/2% time 9
Answers
Answer:
Interest = [tex] \boxed{\$ 789.75} [/tex]
Explanation:
Interest [I] = principle × rate × time [prt]
______________________________
x% = x/100
a b/c = a + (b/c) = (ac + b) / c
______________________
I = prt
I = ($1,950)(4 ½%)(9)
I = ($1,950)(0.045)(9)
I = ($87.75)(9)
I = ($789.75)
I = $789.75
HELP ME PLS ITS URGENT .. !❗❗❗❗❗❗❗❗❗❗❗❗❗
The commuting distances, in miles, of 10 employees were used to make the box plot shown above. Which of the sets of distances below matches the given box plot?
A.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 30, 45, 45
B.
Commuting Distances: 10, 15, 15, 20, 20, 30, 30, 30, 45, 45
C.
Commuting Distances: 10, 15, 20, 20, 20, 20, 30, 30, 45, 45
D.
Commuting Distances: 10, 15, 15, 20, 20, 20, 30, 45, 45, 45
Answers
Answer:
A the answer is A ^w^ hope this helps
Can. Anyone help me please
Answers
Answer:
2. 8x=56
divide both sides of the equation by 8
8x divided by 8=56 divided by 8
any expression divided by itself equals 1
x=56 divided by 8
calculate the quotient
x=7
3. 918 divided by 3= 306
4. answer is 5/21
5&6 not sure
7. inches
8. not sure
Answer:
Q1. 4.5
Q2. 7
Q3. 306
Q4. 5/21
Q5. B. Cube
Q6. AEC and BED
Step-by-step explanation:
1. I found what 8*18 was, then I just divided that by 32 to find the missing value.
2. You want to reverse it and then solve so 56/8=7.
3. You can use a calculator for this 918/3=306
4. This you'd want to get the common denominators for each so just convert.
4/7*3/3=12/21
1/3*7/7=7*21
now just solve 12/21-7/21=5/21
5. Cube, there are 6 faces that are squares on it.
6. Acute angles are angles that are smaller than 90 degrees.
7. Feet, beds are long so feet are the best. Inches would be too little, miles are way too much, and gallons aren't even the right measuring unit.
8. So prime numbers are numbers that can only be divided by 1 and themselves so 1 is a prime number because if you divide 1 by 2 you get a fraction. So now we just want to find the prime numbers in this set.
1 is prime
2 is prime
3 is prime
4 is not prime; 4/2=2 whole number
5 is prime
this means that 4/5 numbers are prime, and 4/5=0.8 or 80%.
Hopefully, this helped you understand, feel free to lmk if you have any questions, and have a good day.
(10k0)(7k–1)(6k–4)
^ k to the 0 power
Answers
Answer:
1
Step-by-step explanation:
every single thing to the power of 0 is 1
Answer:
0
Step-by-step explanation:
PLEASE HELP DUE IN 3 minutes
Answers
Answer:
Answer is B
Step-by-step explanation:
Find the length of the hypotenuse. Round your answer to the nearest 100th.
A. 8.06
B. 9.95
C. 11
D. 3.32
Answers
Step-by-step explanation:
C = root of 7^2 + 4^2
= 8.06
Ans = A
Kevin can walk 14 miles in 5 hours. How far can he walk in 3 1/2 hours?
Answers
Step-by-step explanation:
If he can walk 14 miles in 5 hours, take 14÷5 to find out how long he can walk in 1 hour. (2.8)
Then take 2.8 miles times 3.5 hours is 9.8 miles
Find x
I got 5 but I don’t know if that’s correct. Please help
Answers
PLS HELP WILL MARK BRAINLEST
Answers
Answer:
uhhhhhhhhh help with what ?
can someone please help me ? :)
Answers
Answer:
9.32millimetres
10. 7inches
Step-by-step explanation:
9. r=½diameter
r=½×64
r=32
10. volume=length×width×height
336=6×8×h
336=48h
h=336/48
h=7
A person locked or android phone with a swipe code on a phone with a 3 x 3 gridlock that’s considered an example where the swipe code must start with the top left button and must pass through two more buttons each executive button is adjacent up down left right or diagonal how many swipe codes are they possible
Answer 15,18
Answers
Answer:
15
Step-by-step explanation:
Answer:
It says 15 18 is correct
Step-by-step explanation:
HELP ASSAP I NEED TO FINISH THIS TEST AND TIS THE LAST ONE
Answers
Answer:
a=4
b=5
Step-by-step explanation:
Mac Cosmetic sells a lip gloss for $15.50, but it only costs the company $6 to make it what is the percentage markup on the lip gloss?
Answers
Answer:
158%
Step-by-step
$15.50 - $6 = $9.50 < Profit
Now To find The Percentage of the markup on the lip gloss?
You Divide $9.50 by $6 And You Will Get This 1.58333333333
For A Percent You Move The Decimal Point Back Two Spots And You Get
158%
I Hope You Understand and i hope i helped you
The math department started a fundraiser with $20 and added $10 every week where the science department started with $50and added $5 every week how many weeks will it take for both departments to have the same amount of money ?
Answers
Answer:
4 weeks
Step-by-step explanation:
To find the answer, we have to look at the weeks that follow to see if they have the same amount of money.
Week 1
Math: $30
Science: $55
Week 2
Math: $40
Science: $60
Week 3
Math: $50
Science: $65
Week 4
Math: $60
Science: $70
Hope this helped!
Stay safe <3
Write the polynomial in standard form: I need help with this
Write the polynomial in standard form:
18
Answers
Which expression is equivalent???
Answers
Answer:
Step-by-step explanation:
x² + 2x + 2 = 0
x = -1 ± i
x² + 2x + 2 = (x+1+i)(x+1-i)
In ΔVWX, x = 9.1 inches, w = 5.4 inches and ∠W=161°. Find all possible values of ∠X, to the nearest 10th of a degree
Answers
Answer:
NO POSSIBLE TRIANGLES
Step-by-step explanation:
Answer:
no possible triangles
Step-by-step explanation: