Answer:
C
Step-by-step explanation:
C, the answer is exponential function
Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test). For each statement, enter Correct if the argument is valid, or enter Incorrect if any part of the argument is flawed. Note: if the conclusion is true but the argument that led to it was wrong, you must enter Incorrect.
1. For all n>1, sin2(n)n2<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑sin2(n)n2 converges.
2. For all n>1, arctan(n)n3<π2n3, and the series π2∑1n3 converges, so by the Comparison Test, the series ∑arctan(n)n3 converges.
3. For all n>2, 1n2−5<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑1n2−5 converges.
4. For all n>2, n+1−−−−−√n>1n, and the series ∑1n diverges, so by the Comparison Test, the series ∑n+1−−−−−√n diverges.
5. For all n>2, nn3−2<2n2, and the series 2∑1n2 converges, so by the Comparison Test, the series ∑nn3−2 converges.
6. For all n>1, n2−n3<1n2, and the series ∑1n2 converges, so by the Comparison Test, the series ∑n2−n3
Help please! :) -Substitution Method-
Answer:
d
Step-by-step explanation:
hurry please i have 2 minutes left
Answer:
Option D
Step-by-step explanation:
Option A would not be accurate
Option B would not be accurate
Option C wouldn’t be a valid option
Option D would be accurate
Option E wouldn’t be accurate at all
Option F not a good one
Nolan has a points card for a movie theater.
He receives 20 rewards points just for signing up.
He earns 2.5 points for each visit to the movie theater.
He needs at least 40 points for a free movie ticket.
Write and solve an inequality which can be used to determine
v
v, the number of visits Nolan can make to earn his first free movie ticket?
Answer:
V>_8
Step-by-step explanation:
20+2.5v >_ 40
The number of visits Nolan can make to earn his first free movie ticket is 8.
How many visits before Nolan wins a free movie ticket?The inequality that represents the information in the question is: 20 + 2.5x ≥ 40.
Where x represents the number of visits to the movie theater.
In order to determine the value of x, take the following steps combine similar terms
2.5x ≥40 - 20
Add similar terms
2.5x ≥ 20
Divide both sides by 2.5
x ≥ 8
To learn more about inequality, please check: https://brainly.com/question/5031619
Write 0.721 as a fraction. Show your work.
ASPP
Answer:
721/1000
Step-by-step explanation:
0.721/1 × 1000/1000=721/1000
Need answer asap, will give brainliest
Answer:
35
Step-by-step explanation:
Select the correct answer. The graph of function f is shown. Function g is represented by the table. x -1 0 1 2 3 g(x) -24 -4 0 Which statement correctly compares the two functions? A. They have the same x-intercept and the same y-intercept. B. They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.
The answer is c
A. They have the same x-intercept and the same y-intercept. B. They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts. C. They have the same x-intercept and the same end behavior as x approaches ∞. D. They have the same y-intercept and the same end behavior as x approaches ∞.
find the sum.Use fraction strips to help 1/6 + 1/3 + 1/6
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Since [tex]\frac{1}{6} and \frac{1}{6}[/tex] have the same denominators, we add them first. We then add [tex]\frac{1}{3}[/tex] to the result.
Can someone please solve this
This one takes time to type all the math work.
Let me see.
There are two triangles here.
They both have the same area.
A = (1/2)(base)(height) times 2
A = (1/2)(42)(56) times 2
A = 1,176 times 2
A = 2,352 inches^2.
We also have three rectangles. We need to find the area of each rectangle individually.
Area of bottom rectangle = 42 times 72 or 3,024 inches^2.
Area of back rectangle = 56 times 72 or 4,032 inches^2.
Area of slanted rectangle = 70 times 72 0r 5,040 inches^2.
We now add all the areas together to find the total area of the entire figure.
Total Area = 2,352 inches^2 + 3,040 inches^2 + 4,032 inches^2 + 5,040 inches^2
Total area = 14,448 inches^2
Done!
Did you understand what was done here?
The circumference of a circle is 125.6 inches. What is the circle's radius?
Help pls!
Answer:
i believe the answer is 19.99 inches
Liquid products were first obtained from coal in England during the 1700s. Lamp oil was produced from coal in the United States as early as 1850, but the domestic coal chemicals industry did not develop until World War I. A modern coal - for - recovery system uses a battery of coke ovens to produce liquid products from coal feed. These observations are obtained on the random variable X, the number of gallons of liquid product obtained per coal feed: (insert data)
7.6 8.2 7.1 10.0 6.5 9.6
6.1 6.2 7.6 6.2 9.5 6.7
7.4 9.5 9.2 8.0 8.5 9.3
8.8 9.6 9.7 6.8 7.1 7.7
8.7 7.8 8.7 8.2 8.2 7.4
9.0 8.8 7.3 7.9 7.1 7.9
7.6 6.7 8.1 6.2 5.3 7.4
7.7 9.1 7.9 8.7 8.4 8.1
a). Construct a stem – and – leaf diagram for these data. Use the numbers 5,6,7,8,9,10 as stems.
b). Is the assumption that X is normally distributed justifiable? Explain.
c). Break these data into six categories
d). Construct a frequency table and relative frequency histogram for these data. Does the histogram exhibit the bell – shape characteristics of a normal density?
e). Construct a cumulative frequency table and relative cumulative frequency ogive for these data. Use the ogive to approximate the probability that a randomly selected ton of coal will yield les than 7 gallons of liquid product.
Answer:
b) The data is bell shaped hence the assumption of X been normally distributed is correct
c) The categories are
< 5, 5-6, 6-7, 7-8, 8-9, 9-10
d) attached below
e) The probability of < 7 gallons = 0.167
Step-by-step explanation:
a) stem and leaf diagram for these data
stem leaf
5 .3
6 .1, .2, .2, .2, .5, .7, .7, .8
7 .1, .1, .1, .3, .4, .4, .4, .6, .6, .6, .7, .7, .8, .9, .9, .9
8 .0, .1, .1, .2, .2, .2, .4, .5, .7, .7, .7, .8, .8
9 .0, .1, .2, .3, .5, .5, .6, .6, .7
10 0
b) The data is bell shaped hence the assumption of X been normally distributed is correct
c) The categories are
< 5, 5-6, 6-7, 7-8, 8-9, 9-10
d) attached below
e) The probability of < 7 gallons = 0.167
What’s the slope???????????????
Answer:
0
Step-by-step explanation:
The slope of a line is obtained thus :
Slope = Rise / Run
Rise = (x2 - x1)
Run = (y2 - y1)
x2 = 3 ; x1 = 0
y1 = - 20 ; y2 = - 20
Slope = (-20 - (-20)) / (3 - 0)
Slope = (-20 + 20) / 3
Slope = 0 / 3
Slope = 0
Hence, the slope or rate of change = 0
30) The sum of three consecutive numbers is 27. What are the three numbers? A. 8, 9, 10 B. 6, 7 8 C. 11, 12, 13 D. 9, 10, 11
Answer:
The answer is A. 8, 9, 10
Answer:
A. 8, 9, 10.
Step-by-step explanation:
Consecutive numbers counting numbers which are 1 greater than the other, therefore:
x + (x + 1) + (x + 2) = 27
(x + x + x) + (1 + 2) = 27
3x + 3 = 27
–3 –3
3x = 24
÷3 ÷3
x = 8.
x = 8 → [ x + (x + 1) + (x + 2) ] =
(8) + (8 + 1) + (8 + 2) = 8 + 9 + 10
What is the solution to the equation below?
Answer:
x=500 hope that helps at all
Please actually do it im gonna k m s if someone answers this with a link again
Answer:
Top one, least to greatest:
[tex]-\sqrt{54}[/tex], [tex]-\frac{3}{9}[/tex], [tex]\frac{9}{5}[/tex], [tex]\pi[/tex], 6.6, [tex]\sqrt{75}[/tex]
Bottom one, greatest to least
9.6, [tex]\sqrt{34}[/tex], [tex]\frac{9}{9}[/tex], -4.2, [tex]-7\frac{2}{5}[/tex], [tex]-\sqrt{85}[/tex]
Answer:
Hope I helped and the answers are bellow
Step-by-step explanation:
Part A
-_/- 54 = - 7.38
-3/9 = - 0.3333
9/5 = 1.80
Pi= 3.14
Then 6.6
And finally _/- 75 = 8.66
Part B
9.6
_/- 34 = 5.83
9/9 = 1
-4.2
-7 2/5 = -7.40
-_/- 85 = - 9.21
The cosine of a 30 degree angle is equal to the sine of a
Kelly recorded the number of people who wore school shirts to the football game on Saturday. Of the 525 fans, 224 wore school shirts. If 840 people are expected to attend next Saturday, how many of them would Kelly expect to be wearing school shirts?
A)224
B)301
C)358
D)525
You might even think it’s not a thing for a 11 year-old, but I got this as my assignment today: 6.22222267/2.1 x 1/2 of 98... This is disaster. Pls help.....
Answer to the question:
145.18519533
find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any trial is 9%
Answer:
0.8746 = 87.46% probability of at least 6 failures in 7 trials.
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.
7 trials
This means that [tex]n = 7[/tex]
The probability of success in any trial is 9%?
So the probability of a failure is 100 - 9 = 91%, which means that [tex]p = 0.91[/tex]
Probability of at least 6 failures in 7 trials?
This is:
[tex]P(X \geq 6) = P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{7,6}.(0.91)^{6}.(0.09)^{1} = 0.3578[/tex]
[tex]P(X = 7) = C_{7,7}.(0.91)^{7}.(0.09)^{0} = 0.5168[/tex]
[tex]P(X \geq 6) = P(X = 6) + P(X = 7) = 0.3578 + 0.5168 = 0.8746[/tex]
0.8746 = 87.46% probability of at least 6 failures in 7 trials.
Simplify using the product rule.
a^4 x a^3
Answer: the answer to the question is a7x
Step-by-step explanation:
Will all slices created by a slicing plane that passes through a sphere be the same size
Answer:
The suggestion proposed considering special cases, so that’s what we’ll do.
One special case we could consider is when x=0. If h=r, then we have a hemisphere. You may have learnt that the surface area of a sphere is 4πr2, so the answer in this case is 2πr2. Likewise, we can consider the most extreme cases: when h=2r, we get an area of 4πr2 (the entire sphere), and when h=0, we get zero area.
So if we do manage to get a general formula, we will be able to check it in these special cases.
Another possible idea when x=0 is to consider what happens when h is very small. In this case, the surface area looks a lot like a circle, but the radius of the circle does not seem particularly easy to work out, so maybe we’ll leave this one for a moment. (There are things we can do to approximate the radius using more advanced techniques, but they are currently beyond us.)
Another thing we could consider is the situation where h is very small. Then the part of the sphere between the planes looks very much like the frustum of a cone, and we know how to find the (surface) area of such a shape – see Cones.
If we recall our answer from that problem, we find the formulae for the surface area
π(R+r)s=π(R+r)hcosθ=π(R2−r2)sinθ.
Here, R is the radius of the base of the frustum, r is the radius of the top, h is the perpendicular height, s is the slant length and θ is the angle the slant makes with the vertical.
Step-by-step explanation:
Answer: no
Step-by-step explanation:
Plz explain how to do this!!!
Answer:
Step-by-step explanation:
You are trying to find the value of K, so to do that you need to get k by itself (example : K= 3-5 instead of K+5= 3)
So in 1a i would simplify 7k-3k= 4k
then 4k=11
now to get rid of the 4 and get the k alone- you DIVIDE 4k by 4 and divide 11 by 4 cause you need to do it on both sides of the equation, it should look like this.
4k= 11
- = -
4 4
(4k over 4 and 11 over four)
so the answer is k = 2.75 cause 11/4 = 2.75
A spinner is shown below. What is the probability of spinning a dotted or solid section?
a. 2/3
b. 1/2
c. 1/4
d. 1/5
Answer:
b
Step-by-step explanation:
There are four solid and dotted sections and eight sections in total so the probability is 4/8 or 1/2
A parabola has a vertex at (-6, 6) and roots at 10 and m. Find the value of m.
Answer:
m = -22
Step-by-step explanation:
Formula for parabola in it's vertex form is given by;
y = a(x - h)² + k
Where (h, k) is the coordinate of the vertex.
We are told that vertex is at (-6, 6) and the roots are at 10 and m.
Thus;
y = a(x - (-6))² + 6
y = a(x + 6)² + 6
Since 10 is a root, thus;
0 = a(10 + 6)² + 6
-6 = 256a
a = -6/256
a = -3/128
Thus,the equation is;
y = (-3/128)(x + 6)² + 6
Since m is a root, then;
0 = (-3/128)(m + 6)² + 6
-6 = (-3/128)(m + 6)²
Rearranging, we have;
128 × 6/3 = (m + 6)²
256 = m² + 12m + 36
m² + 12m - 256 + 36 = 0
m² + 12m - 220 = 0
Using quadratic formula, we have;
m = 10 or -22
What is the volume of a pentagonal prism that has a base area of 5.16 cm2 and a height of 9 cm? 46.44 cm 3 19.32 cm 3 55.32 cm 3 14.16 cm 3
Answer:
16.44 would be your right answer
Step-by-step explanation:
Answer:
46.44 cm 3
Step-by-step explanation:
In the diagram, chords LM and NP are parallel and the measure of angle M = 68º.
Determine the value of x.
Answer: 44
Step-by-step explanation:
180-68-68 = 44
Lawrence wants to drive from Durban to Johannesburg 550km. If he travels at an average speed of 100km/hr, how long does he tale to get there?
Answer:
5.5hr
Step-by-step explanation:
Distance=550Km
Speed=100Km/hr
Speed=(Distance/Time)
Time=(Distance/Speed)
Time=550/100=5.5hr
Solve for y. 3=7(1-1)
(it isn't 2)
Answer:
First off, I can't solve for y, there is no y variable.
Second, 3 = 7 ( 1 - 1 ) is not true because 3 ≠ 0 ( 3 doesn't equal 0 ) :
3 = 7 ( 1 - 1 )
3 = 7 ( 0 ) ( Simplify Parenthesis )
3 = 0 ( Multiply 7 and 0 )
3 ≠ 0
please help me on this. the corerect answer gets brainliest
Answer:
a) 2
b) 1
c) 4
d) 8
e) 3
f) 9
g) 6
h) 5
i) 7
Step-by-step explanation:
A shipment of fibers is not acceptable if the mean breaking strength of the fibers is less than 50.03 N. A large sample of fibers from this shipment was tested, and a 98% lower confidence bound for the mean breaking strength was computed to be 50.1 N. Someone suggests using these data to test the hypotheses H0 : μ ≤ 50.03 versus H1 : μ > 50.03. Is it possible to determine from the confidence bound whether P < 0.01? Explain.
Answer:
NO it is not possible
Step-by-step explanation:
It is not possible to determine from the confidence bound whether p < 0.01 and this is because since the 50.03 is less than 98% lower confidence bound which is 50.1 N , we know that p value < 0.03 but P value might be ≥ 0.01 . hence we cannot determine from the confidence bound whether p < 0.01