Answer:
1) -5
2) 5
3) -4
4) 7
5) 3
Step-by-step explanation:
1) -20 divided by -4
2) -2 plus 7
3) 20 divided by 5
4) -2 plus 9
5) 20 minus 17
Which is the correct answer to this equation?
Answer:
3/8
Step-by-step explanation:
3/5 × 5/8
Multiply the numerators and denominators respectively
15/40
Simplify
3/8
A school Buys 3 boxes of pencils. each box has an equal number of pencils. There are 4272 pencil altogether. How many pencils are in two boxes.
Answer:
Each box contains 1424 pencils;
There would be 2848 total pencils in two boxes.
Step-by-step explanation:
1424 x 2 = 2848 pencils
The profit P for a company is P = 100xe–x/400, where is sales. Approximate the change and percent change in profit as sales increase from x = 115 to x = 120 units.
Therefore, the change in profit is approximately 0.60 and the percent change in profit is approximately 0.81%.
The given function is P = 100xe–x/400, where is sales.
The change in profit as sales increase from x = 115 to x = 120 units is to be determined.
To find the change in profit, we need to calculate the profit at x = 115 and x = 120 and then find the difference between them.
P(115) = 100 * 115e^(–115/400) ≈ 73.99
P(120) = 100 * 120e^(–120/400) ≈ 73.39
The change in profit = P(120) - P(115) ≈ 0.60
Approximate percent change in profit as sales increase from
x = 115 to x = 120 units = (change in profit / initial profit) × 100%≈ (0.60/73.99) × 100%≈ 0.81%.
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If ABCDE is translated 7 units to the right and 2 units up, what will happen to the polygon?
Answer:
D.
Step-by-step explanation:
It will move but stay the same size. You are translating the shape to a different spot, not adding onto its size.
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I hope this helps!
-No one
Choose the expression that is equivalent to fraction with 6 raised to the negative tenth power in the numerator and 6 raised to the fourth power times 6 raised to the zero power in the denominator.
The expression that is used to describe the given information is 6^(-6).
To discover the equal expression, we are able to simplify the fraction through the usage of the guideline of thumb for exponents that announces that once we divide powers with the equal base, we are able to subtract the exponents.
An exponent refers back to the wide variety of instances various is elevated through itself.
Using this rule, we get:
(6^(-10)) / (6^4 * 6^0)
= 6^(-10) / 6^4 *1
= 6^(-10+4)
= 6^(-6)
So the equivalent expression is: 1/6^6 = 6^(-6)
The expression that is used to describe the given information is 6^(-6).
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A rectangle has a length of (x + 6) units and a width of (x - 5) units. What is the area of the rectangle in terms of x?
Answer:
Area = x2 +x - 30
Step-by-step explanation:
area = length x width
(x+6) (x-5) = x2 +6x -5x -30 = x2 + x -30
Question help please and thanks
As a result of answering the given question, we may state that As a result, the recursive formula for this geometric sequences is as follows: a1 = 2, a2 = 10, a3 = 50, and a4 = 250 a = 5 * an-1.
What is Sequences?A sequence is an ordered list of elements in mathematics. Numbers, functions, and other mathematical objects can be used as elements. A series is frequently denoted by stating its terms in parenthesis, separated by commas. The series of natural numbers, for example, can be denoted as: (1, 2, 3, 4, 5, ...) Similarly, the series of even numbers is denoted as follows: (2, 4, 6, 8, 10, ...) Depending on whether it has a finite or infinite number of terms, a sequence might be finite or infinite.
We must first discover the common ratio, r, in order to find the explicit and recursive formulas for this geometric series.
To accomplish this, divide any phrase by its preceding term:
\(10 / 2 = 5\s50 / 10 = 5\s250 / 50 = 5\\\)
The common ratio r is 5, as we can see.
\(a = a1 * r^(n-1) (n-1)\\a = 2 * 5^(n-1) (n-1)\)
A geometric sequence's recursive formula is:
\(a = r * an-1\)
where a represents the nth phrase and an-1 represents the (n-1)th term.
The initial term a1 in this series is 2, and the common ratio r is 5. As a result, the recursive formula is:
\(a1 = 2\san = 5 * an-1\)
As a result, the recursive formula for this geometric series is as follows:
a1 = 2, a2 = 10, a3 = 50, and a4 = 250 a = 5 * an-1.
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91) __________ involves the analysis of accumulated data and involves a __________. a) OLAP, database b) OLAP, data warehouse c) OLTP, database d) OLTP, data warehouse
OLAP is used for the analysis of accumulated data, and it requires a data warehouse.
while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing. The analysis of accumulated data is known as Online Analytical Processing (OLAP), and it involves a data warehouse. OLAP is a business intelligence tool used for multi-dimensional analysis of large data sets, while a data warehouse is a central repository that stores historical and current data from multiple sources in a structured manner. OLAP allows users to perform complex queries on large data sets, analyze trends, and make informed business decisions. It is often used in data mining and decision support systems. OLAP tools can be used to slice and dice data, drill down to more detailed data, and roll up to higher levels of summary data. OLAP is primarily used for analytical purposes and is not designed for transaction processing. On the other hand, a data warehouse is designed to support OLAP and is used for storing large amounts of historical data that can be queried and analyzed. Data is extracted from various sources, transformed, and loaded into the data warehouse in a structured format, enabling efficient querying and analysis. OLTP (Online Transaction Processing), on the other hand, is a type of transaction processing that is designed for processing real-time transactions in databases. It is used for day-to-day operations such as order processing, inventory management, and customer management. OLTP is optimized for processing large volumes of transactions in real-time, and is not suitable for analytical purposes.
In summary, OLAP is used for the analysis of accumulated data, and it requires a data warehouse, while OLTP is used for transaction processing and requires a database optimized for real-time transaction processing.
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.
let yn = sqrt(n 1) - sqrt(n) for all n show that yn converge find their limits
The sequence yn = √(n+1) - √n converges, and its limit can be found by simplifying the expression and applying the limit rules. The limit of yn as n approaches infinity is 0.
To find the limit of yn as n approaches infinity, we can simplify the expression. Let's start by rationalizing the numerator:
yn = (√(n+1) - √n) (√(n+1) + √n) / (√(n+1) + √n)
Simplifying the numerator, we get:
yn = [(n+1) - n] / (√(n+1) + √n)
= 1 / (√(n+1) + √n)
As n approaches infinity, both √(n+1) and √n also approach infinity. Therefore, the denominator (√(n+1) + √n) also approaches infinity. In the numerator, the constant 1 remains constant.
Using the limit rules, we can simplify the expression further:
lim(n→∞) yn = lim(n→∞) [1 / (√(n+1) + √n)]
= 1 / (∞ + ∞)
= 1 / ∞
= 0
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Helppppp will give the crown
6(y - 2) = -18
What is y?
Answer:
-1
Step-by-step explanation:
6 (y - 2) = -18
6y - 12 = -18
6y = -18 + 12
6y = -6
y = -1
Closest to the total area
Help due really soon
Answer:
The area of the figure is 36.57.
Step-by-step explanation:
- find the area of the rectangle
6 x 4 = 24
- find area of the half circle
radius = 2
12.57
- add them up
24+12.75= 36.57
Is my answer correct?
Answer:
yes hfhfufufhguguuhhu
Find the value of x.
Answer:
i think the answer should be 8
Step-by-step explanation:
Angela currently has an account balance of &4,298.55. She opened the account 15 years ago, with a deposit of $1,987.22. If the interest compounds monthly, what is the interest rate on the account?
Answer:
The interest rate is 5.278%
Step-by-step explanation:
4298.55=1987.22(1+r/100)^15
r=5.278%
????????????????????????
Answer: (16n)²⁴
Step-by-step explanation: Rule of exponents
Answer:
16\(n^{24}\)
Step-by-step explanation:
Using the rule of exponents
\((a^{m}b^{n}) ^{p}\) = \(a^{mp}\)\(b^{np}\)
Given
\((2n^{6}) ^{4}\)
= \(2^{1(4)}\)\(n^{6(4)}\)
= \(2^{4}\) \(n^{24}\)
= 16 \(n^{24}\)
Pls just say a b c or d
Answer:
c
Step-by-step explanation:
20 POINTS!!!What is the solution to the system that is created by the equation Y = 2x+ 10 and the graph shown below?
(-8,-6)
(-4,-2)
(0,2)
(2,4)
Answer:
(-8,-6)
Step-by-step explanation:
Answer:
So... the factored answer is -5(7+x) Simplified it is -35-5x
Step-by-step explanation:
Calculate the sum then factor! Hope this helps :D
What is the solution to this inequality?
x/12 + 3 < 7
OA. x≤ 48
OB. x≤ 81
OC. x ≥ 48
O D. x≥ 81
x/12 + 3 < 7 = x<48 this is the only one i can do because i cant do the others sorry
What are the coordinates of the point on the directed line segment from (6,2) to (8,−10) that partitions the segment into a ratio of 1 to 3?
The coordinates of the point that divides the line segment from (6, 2) to (8, -10) into a ratio of 1 to 3 are (7, -1).
To find the coordinates of the point on the directed line segment that partitions it into a ratio of 1 to 3, we can use the concept of section formula.
The section formula states that if we have two points A(x₁, y₁) and B(x₂, y₂) dividing a line segment in the ratio of m₁ : m₂, then the coordinates of the dividing point P are given by:
Px = (m₁ * x₂ + m₂ * x₁) / (m₁ + m₂)
Py = (m₁ * y₂ + m₂ * y₁) / (m₁ + m₂)
In this case, the ratio is 1:3, which means m₁ = 1 and m₂ = 3. The given points are A(6, 2) and B(8, -10). Substituting these values into the formula, we can calculate the coordinates of the dividing point P:
Px = (1 * 8 + 3 * 6) / (1 + 3) = 7
Py = (1 * -10 + 3 * 2) / (1 + 3) = -2/2 = -1
Therefore, the coordinates of the point that divides the line segment from (6, 2) to (8, -10) into a ratio of 1 to 3 are (7, -1).
To find the coordinates of the point that divides the line segment between (6, 2) and (8, -10) in a 1:3 ratio, we can use the section formula. Applying the formula, where m₁ is 1 and m₂ is 3, the point P(x, y) can be determined.
By substituting the values into the formula, the x-coordinate is calculated as (1 * 8 + 3 * 6) / (1 + 3) = 7, and the y-coordinate is (1 * -10 + 3 * 2) / (1 + 3) = -1. Thus, the coordinates of the point that partitions the line segment into a ratio of 1 to 3 are (7, -1).
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If there are 90 projects and eight get chosen to continue in the competition.What is the probability ( in percents) that your project will get chosen?
Answer:
7.2% ...................
Every year in delaware there is a contest where people create cannons and catapults designed to launch pumpkins as far in the air as possible. the equation y=10+95x-16x^2 can be used to represent the height, y, of a launched pumpkin, where x is the time in seconds that the pumpkin has been in the air. what is the maximum height that the pumpkin reaches? how many seconds have passed when the pumpkin hits the ground? (hint if the pumpkin hits the ground, its height is 0
Using quadratic function concepts, it is found that:
The maximum height of the pumpkin is of 151 feet.The pumpkin hits the ground after 6.04 seconds.The height of the pumpkin after x seconds is modeled by:
\(y = -16x^2 + 95x + 10\)
Which is a quadratic equation with coefficients \(a = -16, b = 95, c = 10\).
The maximum height is the y-value of the vertex, given by:
\(y_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}\)
Hence:
\(\Delta = b^2 - 4ac = (95)^2 - 4(-16)(10) = 9665\)
\(y_{MAX} = -\frac{\Delta}{4a} = -\frac{9665}{4(-16)} = 151\)
The maximum height of the pumpkin is of 151 feet.
It hits the ground when \(y = 0\), hence:
\(x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-95 + \sqrt{9665}}{2(-16)} = -0.1\)
\(x_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-95 - \sqrt{9665}}{2(-16)} = 6.04\)
The pumpkin hits the ground after 6.04 seconds.
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27 is 45% of what number?
Answer:
60%
Step-by-step explanation:
The first step is to divide 27 by 45 to get the answer in decimal form:
27 / 45 = 0.6000
Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:
0.6000 * 100 = 60.00%
60
Step-by-step explanation:
If you take 45 percent of a number and get 27, then what is that number? In other words, you know that 45 percent of a number is 27 and you want to know what that initial number is.
To solve this problem you multiply 27 by 100 and then divide the total by 45 as follows: (27 x 100) / 45
When we put that into our calculator, we get the following answer:
60
Therefore, the answer to "27 is 45 percent of what number?" is 60, and you can also derive that 45 percent of 60 equals 27.
Hope it helps
Have a good day!
Find the exact value of the given functions, Given sin a = 3/5 , a in Quadrant I, and cos B = 5/13 , B in Quadrant II, find the following. (a) sin(a - (b) , cos(a + b) , (c) tan(a - b)
The exact value of the given functions are as follows: sin(a - b) = -33/65, cos(a + b) = -16/65, tan(a - b) = 33/16.
To find the exact values of the given trigonometric functions, we will use the given information about sin(a) and cos(B) and apply the relevant trigonometric identities.
(a) sin(a - b):
We can use the trigonometric identity sin(a - b) = sin(a)cos(b) - cos(a)sin(b).
Given sin(a) = 3/5 and cos(B) = 5/13, we need to find cos(a) and sin(b) to evaluate sin(a - b).
To find cos(a), we can use the Pythagorean identity: cos^2(a) = 1 - sin^2(a).
Since a is in Quadrant I, sin(a) is positive, so cos(a) = sqrt(1 - (sin(a))^2) = sqrt(1 - (3/5)^2) = sqrt(1 - 9/25) = sqrt(16/25) = 4/5.
To find sin(b), we can use the Pythagorean identity: sin^2(b) = 1 - cos^2(b).
Since B is in Quadrant II, sin(b) is positive, so sin(b) = sqrt(1 - (cos(B))^2) = sqrt(1 - (5/13)^2) = sqrt(1 - 25/169) = sqrt(144/169) = 12/13.
Now we can substitute the values into the identity:
sin(a - b) = sin(a)cos(b) - cos(a)sin(b) = (3/5)(5/13) - (4/5)(12/13) = 15/65 - 48/65 = -33/65.
Therefore, sin(a - b) = -33/65.
(b) cos(a + b):
We can use the trigonometric identity cos(a + b) = cos(a)cos(b) - sin(a)sin(b).
Using the values we found earlier:
cos(a + b) = (4/5)(5/13) - (3/5)(12/13) = 20/65 - 36/65 = -16/65.
Therefore, cos(a + b) = -16/65.
(c) tan(a - b):
We can use the trigonometric identity tan(a - b) = (sin(a - b))/(cos(a - b)).
Using the values we found earlier:
tan(a - b) = (sin(a - b))/(cos(a - b)) = (-33/65)/(-16/65) = (-33/65) * (-65/16) = 33/16.
Therefore, tan(a - b) = 33/16.
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I need a explanation and a answer to the problem plzzz
When multiplying the 2 and the -12 it would be -24, not 24. Which if my mental math is correct, would make the answer 6
Edit:
Note that subtracting a negative is the same as adding the absolute value.
so:
-24-(-30)
changes to
-24+30
and it equals
6
Summation properties and rules hurry please
Answer:
It is c
Step-by-step explanation:
URGENT!! DUE IN 15 MIN!!
*don't mind the answer I chose*
A total of 70 tickets were sold for a concert and earn the organizers $804. If the cost of each ticket is either $10 or $12, how many tickets of each type were sold?
A. $18 tickets cost $10 AND 52 tickets cost $12
B. 52 tickets cost $10 and 18 tickets cost $12
C. 65 tickets cost $12 and 5 tickets cost $10
D. 5 tickets cost $12 and 65 tickets cost $10
WILL GIVE BRAINLIEST WHEN I CAN!!!!!!
Answer:
52 tickets cost $10 and 18 tickets cost $12
Step-by-step explanation:
10x+12y=804. (1)
x+y=70. (2)
From (2)
x=70-y
Substitute x=70-y into (1)
10x+12y=804
10(70-y)+12y=804
700-10y+12y=804
700+2y=804
2y=804-700
2y=104
y=104/2
y=52
Recall
x+y=70
x+52=70
x=70-52
x=18
52 tickets cost $10 and 18 tickets cost $12
By solving a system of equations we will see that the correct option is A.
How to write and solve a system of equations?
First, let's define the variables:
x = number of $10 tickets sold.y = number of $12 tickets sold.First, we know that 70 tickets were sold, so:
x + y = 70
And we know that they reached $804, then we have:
x*$10 + y*$12 = $804
Then our system is:
x + y = 70
x*$10 + y*$12 = $804
To solve this, we first need to isolate one of the variables in one of the equations, I will isolate x on the first equation:
x = 70 - y
Now we can replace that in the other equation to get:
(70 - y)*$10 + y*$12 = $804
$700 - y*$10 + y*$12 = $804
$700 + y*$2 = $804
y*$2 = $804 - $700 = $104
y = $104/$2 = 52
So, 52 $12 tickets were sold, then the other 18 tickets were $12, so the correct option is A.
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the production manager for the xyz manufacturing company is concerned that the customer orders are being shipped late. he asked one of his planners to check the timeliness of shipments. the planner randomly selected 1000 orders and found that 120 orders were shipped late. construct the 95% confidence interval for the proportion of orders shipped late.
The confidence interval for the proportion of orders shipped late is 2.763 and 2.523
We are to going to construct a 95% confidence interval, so here the value is x, divided by n.
That is 120 divided by 1000
120/1000= 0.12
Capital value = 1 - 0.12
= 0.88
So definitely we are going to right here for this confidence interval must be written as on.
Confidence interval must be written as a cap plus minus go alpha by 2 multiplied by under root of 0.12 multiplied by 0.88 and this must be divisible by n, which is 1000 points.
So if I write here for this, this is 0.12 plus minus
x = 0.12
n = 1000
s = 0.88 = 0.8
z = 95 = 99
Formula to calculate the confidence interval
CI = x ± zs/ √n
=0.12 ± 95 × 0.88/√1000
= 0.12 ± 2.643
= 2.763 and 2.523
Therefore the confidence interval is 2.763 and 2.523.
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how many coorinates are on a coordinate plane?
A. 1
B. 6
C. 4
Answer:
4
Step-by-step explanation:
if you're talking about quadrants on a coordinate plane then it is 4:)
coordinate planes are separated into four quadrants (qI,qII,qIII,qIV) shaped like a plus sign, 2 positive quadrants and 2 negative.
Answer:
4! They are called quadrants and quad means 4 <3
Step-by-step explanation: