Answer:
6/5
Divergent
Step-by-step explanation:
aₙ = (-6)ⁿ / (n 5ⁿ⁺²)
aₙ₊₁ = (-6)ⁿ⁺¹ / ((n+1) 5ⁿ⁺³)
lim(n→∞)│aₙ₊₁ / aₙ│
lim(n→∞)│[(-6)ⁿ⁺¹ / ((n+1) 5ⁿ⁺³)] / [(-6)ⁿ / (n 5ⁿ⁺²)]│
lim(n→∞)│[(-6)ⁿ⁺¹ / ((n+1) 5ⁿ⁺³)] × [(n 5ⁿ⁺²) / (-6)ⁿ]│
lim(n→∞)│[(-6)ⁿ⁺¹ / (-6)ⁿ] × [(n 5ⁿ⁺²) / ((n+1) 5ⁿ⁺³)]│
lim(n→∞)│-6 × n / (5 (n+1))│
lim(n→∞) (6n / (5n + 5))
6/5
The limit is greater than 1, so the series diverges.
What is the symbol ~, if you're trying to find the probability of ~A?
the addition probability
the probability of the event not happening
the multiplication probability
None of these choices are correct.
Please someone help me! I need someone to be quick ASAP!
Answer:
Whats? explication?? khe??
Answer:
Step-by-step explanation:
Algebraically prove that x^3 + 9 / x^3+8 = 1 + 1/x^3 +8 , where x ≠ -2
Look at at pic attached! Pls hurry :( 21 points
Answer:
C option
Step-by-step explanation:
bcz root of 121 is 11. then 2/3 +11 will give you a rational number.
Answer:
2/7 + square root of 121 (the third one)
Step-by-step explanation:
a rational number is a number where if you write it as a fraction, both the numerator and denominator are integers (numbers like 1 and 2 but not like 3.4 or 5.6)
the equation simplified a bit looks like this:
2/7 + 11/1
anddd so all the numbers are integers which means that expression is correct :3
joey and his 4 friends went out to eat they decided to split the bill evenly Each person paid 11.13. What was the total bill? write an equation you could use to solve this equation. Use d as your variable.
Answer:
$44.52 is the total bill, d = 11.13 × 4
Pls answer the ques in the screenshot
Answer:
A) Rectangular Prism
B) Triangular Pyramid
C) Square Pyramid
Answer:
A) rectangle
B) triangular prism
C( square pyramid
Which of these is another way of writing 34 x (65 + 27)?
•(34 x 65) + (65 x 27)
•(34 x 27) + (27 x 65)
•(34 + 65) + (65 + 27) •(34 + 65) + (34 + 27)
(34 x 65) + (34 x 27)
Answer:
\(distributive \: law \\ 34 \times( 6 5 + 27) \\ = 34 \times 65 + 34 \times 27 \\ thank \: you\)
The expression can be written as (34×65) + (34×27), hence, option (D) is the correct answer.
What is distributive property?For any real numbers a, b, and c the distributive property states that
a×(b + c)= a×b + a×c.
The given expression is 34×(65 + 27)
Rewrite the expression as follows:
34×(65 + 27)
Use distributive property:
=34×65 + 34×27
=(34×65) + (34×27)
The expression can be written as (34×65) + (34×27), hence, option (D) is the correct answer.
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Bryan invests $6500 in two different accounts. The first account paid 11 %, the second account paid 7 % in interest. At the end of the first year he had earned $519 in interest. How much was in each account?
$ at 11 %
$ at 7 %
Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
Let's assume that Bryan invested an amount of x dollars in the first account, which earns 11% interest, and (6500 - x) dollars in the second account, which earns 7% interest.
The interest earned from the first account can be calculated as 0.11x, and the interest earned from the second account can be calculated as 0.07(6500 - x).
According to the problem, the total interest earned after one year is $519. So we can set up the equation:
0.11x + 0.07(6500 - x) = 519
Simplifying the equation:
0.11x + 455 - 0.07x = 519
0.04x + 455 = 519
0.04x = 64
x = 64 / 0.04
x = 1600
Therefore, Bryan invested $1600 in the first account (earning 11% interest) and $4900 (6500 - 1600) in the second account (earning 7% interest).
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If $200 is put in the bank and each year the account earns 5% simple interest,
then how much interest will be earned in two years?
$10
$20
$30
$100
Work Shown:
i = P*r*t
i = 200*0.05*2
i = 20
A quick mental shortcut is to double the 5% interest to get 10%, since this occurs over 2 years. Then taking 10% of something is the same as moving the decimal point one spot to the left. So we go from 200 to 20
Find the value of x.
12, x, 17, 15, 10; The mean is 12.6.
Answer:x=9
Step-by-step explanation: 12.6x5 then subtract everything else.
Let f(x) = 3x - 8 and g(x) = x² + 4.
Find g(f(-2)).
It would be 200 because if you plug in -2 into the (x) as in replacing it, you get an answer that answer then goes to g(x) and replace that too. Hope you understand :)
We want to find the composition of the two given functions, we will have:
g(f(2)) = 8
So we have two functions:
f(x) = 3x - 8
g(x) = x² + 4
We want to get g(f (-2)), so first let's get g(f(x)), this means that instead of x in g(x) we evaluate it in f(x), we will get:
g(f(x)) = f(x)² + 4
Now replace f(x) by the function:
g(f(x)) = (3x - 8)² + 4
Now we evaluate it in x = 2:
g(f(2)) = (3*2 - 8)^2 + 4 = (-2)² + 4 = 8
g(f(2)) = 8
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y varies directly with x.
y is -50 when x is 10
What is x when y is 15?
Suppose
x = [?]
X
The value of x is -3 when value of y = 15 by using the property proportion as x and y are directly related to each other.
What is direct relation?
Two variables x and y are directly related to each other if x increases or decreases the value of y also increases or decreases proportionally.
We are given that value of y is -50 then value of x is 10
We have to find the value of x when y is 15
We solve it using proportion
we have,
10/x = -50/15
On separating the variable from the constant and then simplifying we get,
x=-3
Hence the value of x is -3 when y is 15
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Solve: 3|x|+4≥1. Write your solution in interval notation
The solution of the inequality 3|x|+4≥1 in interval notation is {x | -1 ≤ x ≤ 1}.
What is interval notation?An interval on a number line can be represented using interval notation. It is a method of representing subsets of the real number line, in other words. The numbers in between any two particular provided numbers are referred to as an interval. For instance, the interval containing 0, 5, and all values between 0 and 5 is the set of numbers x satisfying 0 x 5.
Given that the inequality is:
3|x|+4≥1
Subtract 4 from both sides of the equation:
3|x| + 4 - 4 ≥ 1 - 4
3 |x| ≥ -3
Divide 3 from both sides of the equation:
|x| ≥ -1
We know that, |x| can be written as x and -x thus,
x ≥ -1
-x ≥ -1 or x ≤ 1
Hence, the solution of the inequality 3|x|+4≥1 in interval notation is {x | -1 ≤ x ≤ 1}.
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HELP! WILL GIVE BRANLIEST!!
Answer:
X=8
z=80
Step-by-step explanation:
Okay to find X you gotta find the other angle.
The other angle is 100 which is also vertical To (6x+52)
Vertical angles are equal or congruent so you cna make an eqaution to equal it
6x+52=100
Solve it like a normal equation
x=8
To find Z you gotta realize that 4 angles equal 360 degrees.
We knwo the two vertical angles, 100 and 100. Z is vertical to no name angle so its equal so it can also be Z. Z+Z=2z
Now If you add em all up you should get 360
2z+100+100=360
2z+200=360
Solve from here
z=80
3/10=15/50=18/?
Para ya pLis
A newspaper surveyed 1,000 college students to explore trends in time spent studying and time spent playing
video games. The survey results are shown in the Venn diagram above. "Video Games" represents students who
said they spend more than 1 hour every day playing video games. "Studying" represents students who said they
spend more than 1 hour every day studying.
What percentage of the students surveyed spend more than 1 hour per day on both video games and studying?
A. 8.7%
B. 19.1%
C. 21.2%
D. 41.1%
What was the name of the savings plan on the earnings statement?
O
402K
O Gross Pay
401K
O None of the above
look at pic 10 pts will mark brainilest
Answer:
D
Step-by-step explanation:
It's D because the number of books checked out each hour would have to depend on the amount of people in the library each hour.
Question 3 (1 point)
Karl wants to find the width RQ of a river. He starts at point R, and walks
perpendicular along the edge of the river 42 ft and marks point S. He then walks 28
ft further and marks point T. He turns 90° and walks until his location (point U), point
S, and point Q are collinear. Suppose TU= 68 ft. What is the width of the river in
feet?
The width RQ of the river is approximately 61.98 ft.
To find the width RQ of the river, we can use the properties of perpendicular lines and collinearity.
Given that Karl starts at point R and walks perpendicular along the edge of the river 42 ft to point S, we can draw a line segment RS of length 42 ft.
From point S, Karl walks 28 ft further to point T. We can draw another line segment ST of length 28 ft.
Now, Karl turns 90° from point T and walks until his location (point U), point S, and point Q are collinear. Let's denote the length of this line segment as UQ.
From the given information, we know that TU = 68 ft.
Since U, S, and Q are collinear, we can form a right triangle by connecting UQ and US.
The length of UQ can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
In this case, we have:
UQ² = TU² - US²
UQ² = 68² - 28²
UQ² = 4624 - 784
UQ² = 3840
Taking the square root of both sides, we have:
UQ = √3840
UQ ≈ 61.98 ft
Therefore, the width RQ of the river is approximately 61.98 ft.
Note: It's important to keep in mind that this solution assumes the river is a straight line and that Karl's path is perpendicular to the river's edge. In reality, the river's edge may not be perfectly straight, and the path Karl walks may not be exactly perpendicular.
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the probability of an airline flight arriving on time at a certain airport is 84%, use a normal approximate to find the probability that more than 240 in a random sample of 400 commercial airline flights at the airport will arrive on time
The probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.
To solve this problem using a normal approximation, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution and then use the normal distribution to approximate the probability.
Given:
Probability of an airline flight arriving on time (success): p = 0.84
Number of trials (flights): n = 400
Number of flights arriving on time (successes): x > 240
First, we calculate the mean and standard deviation of the binomial distribution using the following formulas:
Mean (μ) = n * p
Standard Deviation (σ) = √(n * p * (1 - p))
μ = 400 * 0.84 = 336
σ = √(400 * 0.84 * 0.16) = √(53.76) ≈ 7.33
Now, we can use the normal distribution to find the probability that more than 240 flights will arrive on time. Since we're interested in the probability of x > 240, we will calculate the probability of x ≥ 241 and then subtract it from 1.
To use the normal distribution, we need to standardize the value of 240:
z = (x - μ) / σ
z = (240 - 336) / 7.33
z ≈ -13.13
Now, we can find the probability using the standard normal distribution table or a calculator. Since the value of z is extremely low, we can approximate it as:
P(x > 240) ≈ P(z > -13.13)
From the standard normal distribution table or calculator, we find that P(z > -13.13) is essentially 1 (close to 100%).
Therefore, the probability that more than 240 flights in a random sample of 400 commercial airline flights will arrive on time is approximately 1 or 100%.
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help me please with this
The solution of the expression \(\sqrt{z^4\times z^{\frac{-3}{2}}\) will be z⁵.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
The expression will be solved as:-
\(E = \sqrt{z^4\times z^{\frac{-3}{2}}\)
\(E = \sqrt{(z)^{4- {\frac{3}{2}\)
E = z⁵
Therefore, the solution of the expression is z⁵.
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describe the end behavior f(x) = -2x^3 + 1
The end behavior of f(x) is that it rises to the left and falls to the right
How to determine the end behavior of a polynomial?The degree of the polynomial and the sign of the leading coefficient describe the end behavior
Below are rules for determining the end behavior of a function:
a. Even and Positive: Rises to the left and rises to the right
b. Even and Negative: Falls to the left and falls to the right
c. Odd and Positive: Falls to the left and rises to the right
d. Odd and Negative: Rises to the left and falls to the right
Given: f(x) = -2x³ + 1
The degree (largest exponent) of the polynomial = 3 (odd)
Leading coefficient(coefficient of largest exponent) = -2 (negative)
Since the degree and leading coefficient are odd and negative respectively. Therefore, f(x) rises to the left and falls to the right
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Terry Sheehan owns property assessed at $390,000 and pays a property tax rate of 1.69 per hundred dollars of assessed value. He charges $690 per month rent to cover his
property tax bill. How much more rent does he collect each year above the annual property tax bill?
$2,090
$1.769
$1,854
$1,689
None of these choices are correct.
Answer:
$1689
Step-by-step explanation:
Excess of rent amount over annual property tax bill = annual rent - annual property tax
annual property tax = [(assessed property value / 100) x 1.69]
( $390,000 / 100) x 1.69 = $6591
Annual rent = $690 x 12 = $8280
$8280 - $6591 = $1689
Which number does not belong with the other three? Please explain
The number that does not belong with the other three is D. 10 x 9.2 ⁻¹³
Why is the number different from the others ?With the first three numbers, the base of the exponential that is being multiplied by the first number is 10. These numbers are:
2 . 8 x 10 ¹⁵4. 3 x 10 ⁻³⁰1. 05 x 10 ²⁸With the last number however, we see that the base of the exponential is 9. 2 and not 10 like the others. This is why 10 x 9 . 2 ⁻¹³ does not belong with the rest.
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A chemical company mixes pure water with their premium antifreeze solution to create an inexpensive antifreeze mixture. The premium antifreeze solutioncontains 80% pure antifreeze. The company wants to obtain 320 gallons of a mixture that contains 15% pure antifreeze. How many gallons of water and howmany gallons of the premium antifreeze solution must be mixed?
Amount of water = 260 gallons
Amount of antifreeze = 60 gallons
Explanation:let the amount of water = w
amount of water + amount of antifreeze will give 320 gallons of mixture
w + amount of antifreeze = 320
amount of antifreeze = 320 - w ...(1)
The concentration for the antifreeze = 80% = 0.8
The concentration of the mixture = 15% = 0.15
From our question, we are mixing antifreeze with pure water (two different things). In our calculation, we can write the concentration in terms of water or in terms of antifreeze.
Writing the concentration in terms of amount of antifreeze
0.8(amount of antifreeze) + percent of antifreeze (amount of water) = concentraton of the mixture
The mixture contains 15% antifreeze
water contains no antifreeze, percent = 0
0.8(320 - w) + 0(w) = 0.15(amount of mixture)
0.8(320 - w) + 0 = 0.15(320)
256 - 0.8w + 0 = 48
256 - 0.8w = 48
collect like terms:
256 - 48 = 0.8w
208 = 0.8w
divide both sides by 0.8:
208/0.8 = w
w = 260
substitute for w in equation (1)
amount of antifreeze = 320 - 260 = 60
Amount of water = 260 gallons
Amount of antifreeze = 60 gallons
What is 1/3 of 77 how did you do it
Answer:
25.67
Step-by-step explanation:
One third written as a fraction is 1/3. You can also write it as a decimal by simply dividing 1 by 3 which is 0.33.
If you multiply 0.33 with 77 you will see that you will end up with the same answer as above.
You may also find it useful to know that if you multiply 0.33 with 100 you get 33.33. Which means that our answer of 25.67 is 33.33 percent of 77.
There were 470 people at a play. The admission price was $3 for adults and $1 for children.
The admission receipts were $910. How many adults and how many children attended?
Answer:
220 adults and 250 children
Step-by-step explanation:
we require to set up 2 equations and solve simultaneously.
let a be the number of adults and c the number of children , then
a + c = 470 → (1) based on number of people
3a + c = 910 → (2) based on ticket sales
subtract (1) from (2) term by term to eliminate c
(3a - a) + (c - c) = 910 - 470
2a + 0 = 440
2a = 440 ( divide both sides by 2 )
a = 220
substitute a = 220 into (1) and solve for c
220 + c = 470 ( subtract 220 from both sides )
c = 250
that is 220 adults and 250 children attended
jack picks 60 apples from an apple tree .He uses 12 of them to make applesauce .He places the remaining apples equally into 6 gift baskets. Wich equation can be used to determin the number of apples,a, Jack places into each gift baskets.
Answer:
42 apples
Step-by-step explanation:
42 apples cuz how much Jack used
Xander takes a quiz worth 150 points. Each question is worth 30 points. Sketch a graph to show his score if he misses 1,2,3,4 or 5 questions.
Answer:
If he missed five questions he can get a zero
Step-by-step explanation:
the average minimum temperature of Georgia is 12⁰ C, 5⁰ C in new york, 3⁰C in Minnesota and 9⁰C in California. Arrange the average minimum temperature of the cities from warmest to coolest.
a. Minnesota
b. New York
c. Georgia
d. California
Answer: Georgia, California, New York, Minnesota