Answer:
Step-by-step explanation: 16 is for the apple juice for when the orange juice is 8 since orange juice is half of the apple juice. For the last one the apple juice is 32 and the orange juice is 16
If k ?s a positive integer, find the radius of convergence, R, of the series Sigma n = 0 to infinity (n!)^k+4/((k + 4)n)! x^n. R=
To find the radius of convergence, R, of the series
Σ (n!)^(k+4)/((k+4)n)! x^n
we can use the ratio test. The ratio test states that if
lim |a_(n+1)/a_n| = L as n approaches infinity,
then the series converges if L < 1 and diverges if L > 1.
Applying the ratio test to our series, we have:
|((n+1)!)^(k+4)/((k+4)(n+1))! x^(n+1)| / |(n!)^(k+4)/((k+4)n)! x^n|
Simplifying this expression, we get:
|n+1| |x| / (k+4)(n+1)
As n approaches infinity, the term |n+1| / (n+1) simplifies to 1, and the expression becomes:
|x| / (k+4)
For the series to converge, we need |x| / (k+4) < 1. This implies that the radius of convergence, R, is given by:
R = k + 4
Therefore, the radius of convergence, R, for the given series is k + 4.
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Write an equation for each graph:
Answer:
\(y=-|x+1|+1\)
Step-by-step explanation:
Parent function: \(y=|x|\)
Reflect in the x-axis: \(y=-|x|\)
Translate 1 unit to the left: \(y=-|x+1|\)
Translate 1 unit up: \(y=-|x+1|+1\)
Please refer to the attachments to see the individual transformations.
The Statue of Liberty measures 151 feet from its heel to the top of its head. The
length of its hand is 16 feet. Rebecca's hand measures 7 inches. If Rebecca
has the same proportions as the Statue of Liberty, about how tall is Rebecca?
Answer:
66.025 in.Step-by-step explanation:
We know that:
The Statue of Liberty ≅ RebeccaWe need to convert feet to inches first.
=> 1 feet = 12 inches=> 151 feet = 1812=> 16 feet = 192Let's name Rebecca's length as x.
Solving in ratio form:
1812:192::x:7We need to multiply the extreme terms and the middle terms together.
12684 = 192xNow, simplify.
12684 = 192x=> x = 12684/192=> x = 66.0625 in.Hence, the height of Rebecca is 66.025 in.
If you borrow $35,000 to buy a car at 10% APR compounded monthly for 36 months, what are your monthly payments? Select one: A. 1,162.50 B. 1,120.02 C. 1,129.35 D. Correct answer not shown
The monthly payments for a $35,000 car loan at 10% APR compounded monthly for 36 months are $1,129.35.
To calculate the monthly payments, we can use the formula for the monthly payment amount on a loan:
M = P * (r * (1 + r)^n) / ((1 + r)^n - 1),
where M is the monthly payment, P is the principal amount (loan amount), r is the monthly interest rate, and n is the total number of payments (loan term in months).
In this case, P = $35,000, r = 10% divided by 12 (monthly interest rate), and n = 36.
Plugging these values into the formula:
M = 35,000 * (0.1/12 * (1 + 0.1/12)^36) / ((1 + 0.1/12)^36 - 1)
≈ $1,129.35.
Therefore, the monthly payments for the $35,000 car loan at 10% APR compounded monthly for 36 months amount to approximately $1,129.35. The correct answer is C.
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n order to eliminate data redundancy and avoid update anomalies, find the 1nf, 2 nf, and 3nf of the following bookorder tables
Without specific table structures and dependencies provided, it is not possible to determine the 1NF, 2NF, and 3NF of the bookorder tables.
Please provide the table structures and dependencies of the bookorder tables to determine their 1NF, 2NF, and 3NF.?To determine the 1NF, 2NF, and 3NF of the bookorder tables, we need to consider the normalization process and identify any dependencies among the attributes. Without the specific table structures and dependencies provided, it is not possible to provide a specific answer. However, in general, the normalization process aims to eliminate data redundancy and update anomalies by organizing data into separate tables based on functional dependencies. In 1NF, each attribute should hold atomic values. In 2NF, non-key attributes should depend on the entire key. In 3NF, non-key attributes should depend only on the key, not on other non-key attributes. The specific normalization steps depend on the specific attributes and dependencies in the given tables.
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(Projectile Motion) Mary is outside her apartment building. She needs to pass her key to John, who is 6 m above the ground floor of the building. Mary has no time to run upstairs, so she throws the key towards John. Suppose the height, h m, of the key above the ground floor at time t seconds is given by h = -11t² + 20t + 1. Is it possible for John to catch the key? Justify your answer.
in how many ways can two representatives be picked so that one is a mathematics major and the other is a computer science major?
There probability two ways to pick two representatives with one majoring in mathematics and the other majoring in computer science.
In order to pick two representatives with one majoring in mathematics and the other majoring in computer science, there are two approaches that can be taken. The first approach is to pick one representative who majors in mathematics first, then the second representative who majors in computer science. The second approach is to pick one representative who majors in computer science first, then the second representative who majors in mathematics. Both of these approaches would yield two representatives, one with a mathematics major and the other with a computer science major. It is important to note that whichever approach is taken, both representatives must be chosen from the same pool of potential representatives. Thus, the pool of potential representatives should be large enough to encompass both mathematics and computer science majors in order to successfully pick two representatives with one majoring in mathematics and the other majoring in computer science.
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state the slope and y-intercept for the graph of the equation y=-3x+5
Answer:
slope: -3
y-intercept: 5
Step-by-step explanation:
y=mx+b, where m=slope and b=y-intercept
Answer:
The slope is -3 and y is 5. hope that helped
8. Stan made 4 goals out of 6 attempts in soccer today. What fraction
of attempts did Stan make? Please help
Answer:
\(\frac{4}{6}\)
Step-by-step explanation:
9. Solve for \( x \) in the proportion \[ x: 5=7: 35 \]
In order to solve for x in the proportion x: 5 = 7: 35, we need to cross multiply. This means multiplying the numerator of the first fraction with the denominator of the second fraction and vice versa.
This gives us: x * 35 = 7 * 5Simplifying, we get: 35x = 35Dividing both sides by 35, we get:x = 1Answer: x = 1
We can solve the given proportion by cross multiplication.
Multiplying the numerator of first fraction by the denominator of second fraction and vice versa we get the following equation.x * 35 = 7 * 5Simplifying the above equation, we get35x = 35We can divide both sides by 35 to isolate the variable 'x'. We get the following equation.x = 1Hence, we can conclude that the value of x in the given proportion is 1
We have been given a proportion, where we are required to find the value of the variable ‘x’. We know that in a proportion, the product of the means (the middle terms) is equal to the product of the extremes (the outer terms).
Therefore, we can write the given proportion as:x/5 = 7/35Multiplying both sides of the above equation by 5, we get:x = (7/35) * 5Multiplying the numerator by 5, we get:x = 1Therefore, we can conclude that the value of x in the given proportion is 1.
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A balloon rises to the ceiling of a gymnasium. You want to find the distance from the ground to the balloon. You use a cardboard square to line up the balloon and the ground. Your friend measures the vertical distance from the ground to your eye and the distance from you to the gym wall. Approximate the distance from the ground to the balloon
This method works because it uses the right triangle theorem.
What is triangle?Triangle is a three-sided polygon that has three vertices and three angles. It is one of the basic shapes in geometry. A triangle with all sides equal is called an equilateral triangle, one with two sides equal is called an isosceles triangle, and one with all sides of different lengths is called a scalene triangle. Triangles are used in many fields, including engineering, architecture, and art.
The right angle of the triangle is formed by the line of sight from your eye to the balloon, and the two sides of the triangle are formed by the ground to your eye measurement and the distance from you to the gym wall. By multiplying the two measurements, you can estimate the height of the balloon from the ground.
This measuring method is simple and easy to use. All that is needed is a cardboard square, a tape measure, and a friend to help. It is also accurate since it uses the right triangle theorem. However, it is only an estimate of the true distance from the ground to the balloon. To get a more precise measurement, the angles of the triangle should be calculated and the measurements should be taken from two or three different points.
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A line that is perpendicular to y=-4-10 passing through the point (8,11)
Answer:
Step-by-step explanation:
11=4(8)+b
11=32+b
-21=b
y=4x-21
i think
a landscaping company claims that at most 90% of workers arrive on time. if a hypothesis test is performed that rejects the null hypothesis, how would this decision be interpreted? group of answer choices there is not sufficient evidence to support the claim that at least 90% of workers arrive on time there is sufficient evidence to support the claim that at most 90% of workers arrive on time there is not sufficient evidence to support the claim that at most 90% of workers arrive on time there is sufficient evidence to support the claim that a least 90% of workers arrive on time
Out of the given mentioned one, option d) there is sufficient evidence to support the claim that at least 90% of workers arrive on time is the decision be interpreted.
Rejecting the null hypothesis means that the alternative hypothesis is accepted, which in this case is that at least 90% of workers arrive on time. This means that the evidence collected supports the claim that at least 90% of workers arrive on time.
This does not mean that the claim is necessarily true, as the sample size used in the hypothesis test may not be representative of the entire population. However, it does suggest that there is sufficient evidence to support the claim.
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a landscaping company claims that at most 90% of workers arrive on time. if a hypothesis test is performed that rejects the null hypothesis, how would this decision be interpreted? group of answer choices
a) there is not sufficient evidence to support the claim that at least 90% of workers arrive on time
b) there is sufficient evidence to support the claim that at most 90% of workers arrive on time
c)there is not sufficient evidence to support the claim that at most 90% of workers arrive on time
d)there is sufficient evidence to support the claim that a least 90% of workers arrive on time
20 applicants from a pool of 90 applications will be hired. How many ways are there to select the applicants who will be hired?
The ways are the \(C_{20} ^{90}\) which are we there to select the applicants who will be hired with the help of combination.
According to the statement
we have to find that the number of ways are there to select the applicants who will be hired.
So, For this purpose, we know that the
A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.
Here we use the combination.
And from the given information:
20 applicants from a pool of 90 applications will be hired.
And according to this the combination becomes:
\(C_{20} ^{90}\)
then solve it
\(C_{20} ^{90} = \frac{90!}{20! (70!)}\)
\(C_{20} ^{90} = \frac{90*89*88*87*86*85*84*83*82!}{20*19*18*17*16*15*14!}\)
Then after solve it
\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82!}{19*14!}\)
Now open another factorial
\(C_{20} ^{90} = \frac{89*11*87*43*14*83*82*81*80*79*78*77*76*75*74*73*72*71}{19*14*13*12*11*10*9*8*7*6*5*4*3*2*1}\)
Now solve this then
\(C_{20} ^{90} = {89*11*87*43*83*82*79*15*74*73*71}\).
So, The ways are the \(C_{20} ^{90}\) which are we there to select the applicants who will be hired with the help of combination.
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Evaluate k = 13 helllp noww
Answer:
-13
Step-by-step explanation:
a) about what percentage of scores were between between 68 and 82? 68 % b) about what percentage of scores were between 61 and 75?
Therefore , the percentage of case 1 is 68% and percentage of case 2 is 47.4%
What is percentage?One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. As an illustration, 1% of 1,000 chickens is equal to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200.
Here,
Given: Total number of freshman =500
mean =75 and standard deviation =7
a) the percentage of scores that fell between 68 and 82
340 is the number of freshman whose scores that fell between 68 and 82
thus,
percentage = 340 /500 * 100
=> percentage = 68%
b)the percentage of scores that fell between 61 and 75
237 is the number of freshman whose scores that fell between 61 and 75
thus,
percentage = 237/500 * 100
=> percentage = 47.4%
Therefore , the percentage of case 1 is 68% and percentage of case 2 is 47.4%
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817 inhabitants live in a village. Of them, 241 are children.
Of the adults, there are 56 more women than men in the village.
How many men live in the village?
The number of men living in the village is 260.
How do you solve a linear equation system?A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:
\(ax + by = c\)
Given:
Total inhabitants in the village: 817
Number of children: 241
There are 56 more women than men in the village
Total adults = Total inhabitants - Number of children
Total adults = 817 - 241
Total adults = 576
Let number of men in the village be 'x' and number of women in the village be 'y',
∴ y=x+56 (given) ..................(1)
Also, x+y=576 .................(2)
From equation (1) and (2),
x + (x + 56) = 576
2x + 56 = 576
2x = 576 - 56
2x = 520
x = 520 / 2
x = 260
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What is the minimum number of intersection points a hyperbola and a circle could have? O A. 2 O B. 1 O C.3 O D.O
Answer:
D. 0
Explanation:
A hyperbola is a two-sided open curve facing opposite directions. Both sides do not intersect each other.
Given the situation below:
The two will not intersect, thus, the minimum number of intersection points a hyperbola and a circle could have is 0.
The correct choice is 0.
help me with this question please
Answer:
N+1
Step-by-step explanation:
It begins with = 2
then n+1=3
then n+2=4 and so on it is n+1
Find the measure of < 2.
690
42\69°
111°
46 48
2 = [?]
Answer:
Step-by-step explanation:
What would 18.897x34.644 be, and how do you do it?
Answer:
654.667668
have a great day!
You want to paint a piece of pottery at an art studio. The total cost is the cost of the piece plus an hourly studio fee. There are two studios to choose from. For studio a: The vase is $10 and the studio fee is $8 per hour. For studio b: The vase is $16 and the studio fee is $6 per hour. After how many hours of painting are the total costs the same at both studios?
Answer:
give the other guy brainliest
Step-by-step explanation:
adding and subtracting polynomials
Answer:
1. 9x + 7
3. 7x + 1
5. 5x^2 + 3x
7. 8x + 8
Step-by-step explanation:
The solutions of a quadratic equation are - 1,3. Write a related quadratic function in factored form.
Answer:
(x+1)(x-3)
Step-by-step explanation:
We simply convert the solutions into roots. We take the negative of the solutions and we put it into (x - root) form.
Answer:
(x+1) (x-3)
Step-by-step explanation:
(x+1)=0
x=-1
(x-3)=0
x=3
solutions are (-1, 3) we put -1 first because x always comes before Y value.
Please mark me as brainliest. I need to rank up.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS UwU
Answer:
1/2 + 1/4 = 2/4 + 1/4 = 3/ 4
first box = 2
last box= 3/4
what is expressed in both units and dollars to show the number necessary to make enough money to keep going?
In the context of economics, the term “break-even point” is used to indicate the number necessary to make enough money to keep going, and it is expressed in both units and dollars.
What is the break-even point?Break-even point is a term used in cost accounting to describe the point at which total cost and total revenue are equal. At this point, there is no profit or loss; it is a neutral zone. At this point, a firm's revenue from the sale of products and services is just sufficient to cover the total costs of producing those products and services.
The break-even point can be expressed in terms of units sold or in terms of total revenue. The point at which the total revenue equals total cost is the break-even point in terms of dollars. The point at which the number of units sold equals the fixed costs divided by the contribution margin per unit is the break-even point in terms of units sold. Therefore, the break-even point is expressed in both units and dollars to show the number necessary to make enough money to keep going.
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I'm tired :( too many missing assignments. I've been working all day
Answer:
aw its fine, take a break and get some fresh air
Answer:
oof its ok u got this
drink some coffee or take a quick break or finish everything tomorrow
Step-by-step explanation:
Find the 8th term of the geometric sequence 3, -12, 48, ...
Answer:
a(8) = -49152
Step-by-step explanation:
Step 1: Find r
-12/3 = 4
Step 2: Write geometric explicit formula
\(a_{n} = 3(4)^{n-1}\)
Step 3: Plug in 8th term for n
\(a_{8} = 3(4)^{7}\)
a(8) = -49152
Alternatively you can find r then multiply 3 by -4 8 times.
Which term of the AP 21, 18, 15, ... is 0?
Answer:
Solution : Let Tn=0. Then,21+(n-1)×(-3)=0⇒n=8. So, 8th term is zero.
Step-by-step explanation:
2(6x4) + 2(6x2.4n) + 2(4x2.4n) what is the value of n
Hey there!
2(6 * 4) + 2(6 * 2.4n) + 2(4 * 2.4n)
= 2(24) + 2(14.4n) + 2(9.6n)
= 48 + 28.8n + 19.2n
= 48 + 48n
= 48n + 48
Thus, your answer should be: 48n
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)