Answer:
the answer I got is 14.0
hope it helps
Answer: I believe it is 5,720
Step-by-step explanation:
What is limit of a function in maths?
The limit of a function is a value of the function as the input of the function gets closer to some number.
We know that, a limit is a value toward which an expression converges as variable approaches certain values.
The limit of a function at m point is nothing but the value that the function approaches as its argument(variable) approaches m.
When a function is said to have a limit L at point p if it is possible to make the function arbitrarily close to L by choosing values to point p.
It is a value of the function as the input of the function gets closer to some number.
Therefore, the limit of a function is nothing but a value of the function as the input of the function gets closer to some number.
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What is 145.65 divided by 21.2?
Answer: 6.87
Step-by-step explanation:
21.2 / 145.65
Move to the decimal to the right 1 time to make 21.2 to 212 and 145.65 to 1456.5.
Then you want to look for a number you can multipl 212 into the 1456.
In this case, 212 times 6 because it equals 1272.
If you multiply 212 times 7, you get 1484 (which is over the number of 1456 { we dont want that}).
Then you continue multiplying the number until you get to 0, or in other words, a remainder. In which I got, 6.870
A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.
Ice Cream Candy Cake Pie Cookies
9
72
36
27
81
Which statement is the best prediction about the number of cookies the college will need?
The college will have about 480 students who prefer cookies.
O The college will have about 640 students who prefer cookies.
O The college will have about 1,280 students who prefer cookies.
O The college will have about 1,440 students who prefer cookies.
Using inferential statistics, it is found that the option that is best surveyed from the collected in the survey is given by:
D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.
What is an inferential statistic?An inferential statistic is one that makes inference or predictions about a population based on a sample.
From the table, we have that cookies and cream is the most popular flavor, hence the correct option is:
D. The Number of students who prefer cookies and cream is higher than the number of those who prefer chocolate and those who prefer strawberry.
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Save On Shoes bought a shipment of 677 pairs of women's shoes for $26.00 per pair. The store sold 115 pairs at the regular selling price of $200,00 per pair, 76 pairs at a clearance sale at a discount of 41%, and the remaining pairs during an inventory sale at a price that equals cost plus overhead. The store's overhead is 18% of cost (a) What was the price at which the shoes were sold during the clearance sale? (b) What was the selling price during the inventory sale? (c) What was the total profit realized on the shipment? (d) What was the average rate of markup based on cost that was realized on the shipment?
Similarly to part (c), we need the total profit and total cost to calculate the average rate of markup based on cost. Please provide the missing information so that we can calculate it accurately.
Let's calculate the answers to each question step by step:
(a) What was the price at which the shoes were sold during the clearance sale?
The clearance sale offered a discount of 41% off the regular selling price of $200.00 per pair.
Discount = 41% of $200.00 = 0.41 * $200.00 = $82.00
Therefore, the price at which the shoes were sold during the clearance sale is $200.00 - $82.00 = $118.00 per pair.
(b) What was the selling price during the inventory sale?
The remaining pairs were sold during the inventory sale at a price that equals cost plus overhead.
Overhead is 18% of the cost.
Let's calculate the cost first:
Cost of the shipment = Number of pairs * Cost per pair = 677 * $26.00 = $17,602.00
Overhead = 18% of the cost = 0.18 * $17,602.00 = $3,168.36
Total cost + overhead = $17,602.00 + $3,168.36 = $20,770.36
Therefore, the selling price during the inventory sale is $20,770.36 per pair.
(c) What was the total profit realized on the shipment?
To calculate the total profit, we need to subtract the total cost from the total revenue.
Total revenue = (Number of pairs sold at regular price * Selling price at regular price) + (Number of pairs sold at clearance sale * Selling price at clearance sale) + (Number of pairs sold during inventory sale * Selling price during inventory sale)
Total revenue = (115 * $200.00) + (76 * $118.00) + (remaining pairs * $20,770.36)
Total cost = Number of pairs * Cost per pair = 677 * $26.00 = $17,602.00
Total profit = Total revenue - Total cost
We need the number of pairs sold during the inventory sale to calculate the total profit. However, that information is not provided in the given data. Please provide the number of pairs sold during the inventory sale so that we can calculate the total profit.
(d) What was the average rate of markup based on cost that was realized on the shipment?
The average rate of markup based on cost can be calculated by dividing the total profit by the total cost, and then multiplying by 100 to express it as a percentage.
Average rate of markup based on cost = (Total profit / Total cost) * 100
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help asap if you can pls!!!!!
Answer:
SAS, because vertical angles are congruent.
Suppose that there are 500 students in the school about how many of them study between 4.2 and 5.8
ANSWER AND SHOW WORK
A custom phone case company sells phone cases for $19.95 each plus $2.95 for shipping and handling. Eric’s total bill was $142.60 for all of the phone cases that he bought. Create an equation to model this scenario.
Answer:
The answer is 6.21222707424.
Step-by-step explanation:
You add 19.95 and 2.95. Then divide 142.60 by the product.
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.
Paper clips are sold in boxes of 1000.
Each box costs £15.40
The table below shows the discount offered for large orders.
Total order Discount
£40 - £54.99 5%
£55 - £79.99 6.5%
£80
8%
above
Ethan orders 5 boxes of paper clips.
Work out the amount of discount Ethan gets.
thirty six men can cultivate a piece of land in 20 days. How many more men working at the same rate would be needed to cultivate the same piece of land in 15 days
Answer:
900+ hours
Step-by-step explanation:
The change in the value of stock is represented by the rational number -5.90. Describe, in words, what this means.
Answer:
DEFINITION of Value Change
Value change is an adjustment made to a stock's price to reflect the number of outstanding stock shares issued and currently held by investors. A value change allows the group of stocks to be equally weighted and, therefore, more easily evaluated. Since the number of shares held by investors changes daily, this number can be updated daily to reflect the changes.
I am just giving you a definition but i dont know if this is going to help you
Step-by-step explanation:
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
parallel, perpendicular are opposite
Answer:
PARALLEL PERPENDICULAR
Step-by-step explanation:
Y
2
0
A
с
B
o'
D
Which point is located at
(11.2)
The point that is located at the ordered pair (4, -2) is given as follows:
Point B.
How to define the ordered pair?The general format of an ordered pair is given as follows:
(x,y).
In which the coordinates are given as follows:
x is the x-coordinate.y is the y-coordinate.On the coordinate plane, we have that:
x is the horizontal coordinate.y is the vertical coordinate.Hence the coordinates for this problem are given as follows:
A(-2, 4), B(4, -2), C(-4, 2) and D(2, -4).
Missing InformationThe graph is given by the image presented at the end of the answer.
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which of the following is the midpoint riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width?
The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is 9980
The midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is calculated by summing the area of each subinterval under the midpoint of the interval.
The formula for the midpoint Riemann sum is given by:
Sum = (width of interval) * (height of midpoint)
For this problem, since the width of each interval is 16/4 = 4, the midpoint Riemann sum is calculated by:
Sum = 4 * (1 + (16/4)^3 + (32/4)^3 + (48/4)^3)
Substituting the values for each midpoint, we get the following equation:
Sum = 4 * (1 + 4^3 + 8^3 + 12^3)
This simplifies to:
Sum = 4 * (1 + 64 + 512 + 1728)
Therefore, the midpoint Riemann sum approximation of ∫64x3 1−−−−−√ⅆx using 4 subintervals of equal width is:
Sum = 4 * (2495)
Sum = 9980
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Don't answer if u don't know or I will report ,.,.43/2*487
Answer:
10470.5
Step-by-step explanation:
10470.5. from my aunt
00
What is the length of BC?
17
А A
9 units
11 units
O 15 units
O 16 units
8
С
Answer:
C. 15 units
Step-by-step explanation:
I apologize if this answer is late, but I hope this can help other people who need this :)
The length of BC is 15 units.
What is Right Angled Triangle?Right angled triangle are those triangle for which one of the angle is 90 degrees.
Given a right angled triangle ABC.
Given that angle C is right angle.
Side AB is the hypotenuse, AC is the base and BC is the altitude.
Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Using the theorem,
(AB)² = (AC)² + (BC)²
(BC)² = (AB)² - (AC)²
= 17² - 8²
= 289 - 64
= 225
BC = √225 = 15 units
Hence the side length of BC is 15 units.
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which of the following is an area of mathematics that studies how competing parties interact
An area of mathematics that studies how competing parties interact is known as "game theory."
Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.
Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.
The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.
Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.
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A swimming club has three types of members: adults, juniors and children.
The ratio of juniors to children is 1 : 3.
The ratio of children to adults is 5 : 2.
What is the ratio of juniors to adults in its simplest form?
The ratio of junior to adult = 6/5
What is proportion?
An equality between two ratios. According to proportion, if 2 sets of given numbers area unit increasing or decreasing within the same quantitative relation, then the ratios area unit aforesaid to be directly proportional to every different.
Main body:
Given - data in the question
To find answer the question
Solution - Let no of junior, children and adults be x, y, z respectively.
Now, ratio of junior to children = 1/3
So, x = 3y
Ratio of children to adult = 5/2
So, 5y = 2z
.(2)
So, from (1) we get, y = x / 3
So, 5x / 3 = 2z
⇒5x = 6z
⇒ x/z=6/5
Hence, the ratio of junior to adult = 6/5
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The range of a linear transformation must be a subset of the domain.a. trueb. false
False. The range of a linear transformation is a subset of the codomain, not the domain.
The domain is the set of inputs to the transformation, while the codomain is the set of possible outputs. The range is the set of actual outputs produced by the transformation. The statement "The range of a linear transformation must be a subset of the domain" is false. The range of a linear transformation is a subset of the codomain, not the domain. The domain is the set of input vectors, while the codomain contains the possible output vectors after applying the linear transformation.
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The table gives information about the times taken, in minutes, by 22 students to
cycle a race.
Time (t minutes)
15
20
25
30
Frequency
4
1
7
10
Work out an estimate for the mean time.
Give your answer in minutes and correct to 3 significant figures.
+
Total marks: 3
The mean time taken by 22 students to cycle the race is approximately 25.2 minutes, rounded to 3 significant figures.
How to find the mean time taken?To find the mean time, we need to sum up all the times and divide by the total number of students.
The sum of times can be calculated as:
\(\text{M}=\dfrac{15(4)+20(1)+25(7)+30(10)}{4+1+7+10}\)
\(\text{M}=\dfrac{60+20+175+300}{22}\)
And the mean time can be calculated as:
\(\text{M}=\dfrac{555}{22}=25.23 \ \text{minutes}\)
\(\text{M}\thickapprox\bold{25.2 \ minutes}\)
Hence, the mean time taken by 22 students to cycle the race is approximately 25.2 minutes, rounded to 3 significant figures.
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ariana is going to invest in an account paying an interest rate of 1.9% compounded monthly. how much would ariana need to invest,to the nearest ten dollars,for the value of the account to reach $110,000 in 14 years?
9514 1404 393
Answer:
$84,330
Step-by-step explanation:
The compound interest formula gives the value of an investment.
A = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years. Using your given values, we can solve for P.
110,000 = P(1 +0.019/12)^(12·14)
P = 110,000/(1 +0.019/12)^(12·14) ≈ 110,000/1.00158333...^168
P ≈ 110,000/1.30446
P ≈ 84326.04 ≈ 84,330 . . . . dollars
The probability that Gordon wins a raffle is given by the expression
n/n+4
Write down an expression, in the form of a combined single fraction, for the probability that
Gordon does not win.
An equation for the likelihood that Gordon does not win, in the form of such a combined single fraction:
= \($\frac{4}{n+4}$\)
Probability can be defined as:Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 as well as 1, where 0 denotes the event's impossibility and 1 represents certainty.
What are the three probability laws?The addition rule, the multiplication rule, and indeed the complement rule are the three main rules related with basic probability.
According to the given data:Formulate based on the provided conditions:
\($1-\frac{n}{n+4}$\)
Look for the common denominator as well as write additional numerators above it denominator:
\($\frac{n+4-n}{n+4}$\)
Rearrange and collect related terms:
\($\frac{(n-n)+4}{n+4}$\)
Gather coefficients for similar terms:
\($: \frac{(1-1) \times n+4}{n+4}$\)
The product of two polar opposites is 0:
\($: \frac{0 n+4}{n+4}$\)
Use the Multiplication Zero Property:
\($\frac{4}{n+4}$\)
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Peppers are sold in packs of 3 for $111,or in individual for $29 which is the best value
The common factors of 12 and 21 are?
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
•Factors of 12 are 1, 2, 3, 4, 6 and 12 ... ... because 2 × 6 = 12, or 4 × 3 = 12, or 1 × 12 = 12
•Factors of 21: 1, 3, 7, 21
determine the velocity vector () of the path ()=(cos2(4),7−4,−7). (write your solution using the form (*,*,*). use symbolic notation and fractions where needed.)
The velocity vector of the path is (-2sin(2t), -4, 0).
To determine the velocity vector of the path (cos(2t), 7-4t, -7), we need to take the derivative of each component with respect to time:
dx/dt = -2sin(2t)
dy/dt = -4
dz/dt = 0
So the velocity vector is (dx/dt, dy/dt, dz/dt) = (-2sin(2t), -4, 0). However, since we are not given a specific value of t, we cannot simplify this any further. Therefore, the velocity vector of the path is (-2sin(2t), -4, 0).
The velocity vector gives us information about the direction and magnitude of the movement of an object along a path. In this case, the object moves with a changing horizontal component and a constant vertical component.
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Translate this phrase into an algebraic expression.
47 decreased by twice a number
Use the variable n to represent the unknown number.
Answer:
47 - 2n
Step-by-step explanation:
An algebraic expression is an idea of representing numbers using letters or alphabet.
From the question above,
The variable = n
twice the number = 2× n = 2n
Translating:
47 - 2n
p(x)= x2-x-12 and q(x)=x+3 find p(x) ÷ q(x) The question of O-MATH
Hello,
\( \frac{p(x)}{q(x)} = \frac{ {x}^{2} - x - 12}{x + 3} = \frac{(x - 4)(x + 3)}{x + 3} = x - 4\)
Answer:
Step-by-step explanation:
When planning a well-balanced long hair design, consider the proportional relationships between size, shape, texture and:
A well-balanced long hair design should consider the proportional relationships between size, shape, texture, and color to create a harmonious and visually pleasing hairstyle that flatters the client's features and personal style.
When planning a well-balanced long hair design, it is important to consider the proportional relationships between size, shape, texture, and color. These four elements work together to create a harmonious and visually pleasing hairstyle.
Size refers to the overall scale of the hairstyle, which can range from small and delicate to large and voluminous. It's important to consider the size of the client's head and face, as well as the desired level of impact.
Shape refers to the outline or silhouette of the hairstyle, which can be angular or rounded, symmetrical or asymmetrical. The shape should be chosen to flatter the client's face shape and features, as well as to create a balanced overall look.
Texture refers to the surface quality of the hair, which can be smooth or rough, sleek or tousled. Texture can be used to add interest and movement to the hairstyle, and should be chosen to complement the client's natural hair texture and the overall design.
Color refers to the hue, saturation, and tone of the hair, which can range from natural to bold and vibrant. Color can be used to enhance the shape and texture of the hairstyle, and should be chosen to flatter the client's skin tone and personal style.
In summary, a well-balanced long hair design should consider the proportional relationships between size, shape, texture, and color to create a harmonious and visually pleasing hairstyle that flatters the client's features and personal style.
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Factor the following polynomial by grouping. If it cannot be factored, indicate "Not Factorable".
ax−4bx+4ay−16by
HELP ASAP AND BRAINLEST
It takes a man 6 hours to row a boat 24km upstream and covers a distance of 36 km downstream in 6 hours. What will be the speed of the man in still water
Answer:
5 km/h
Step-by-step explanation:
Speed of man in still water = s
Speed of current = c
Speed upstream = s - c
Distance upstream = 24 km
Time upstream = 6 hours
Speed downstream = s + c
Distance downstream = 36 km
Time downstream = 6 hours
Speed Equation
speed = distance/time
distance = speed × time
d = st
We write a distance equation for upstream and a second distance equation for downstream.
Upstream:
d = st
24 = (s - c) × 6
Divide both sides by 6 and switch sides:
s - c = 4 Equation 1
Downstream:
d = st
36 = (s + c) × 6
Divide both sides by 6 and switch sides.
s + c = 6 Equation 2
We now have two equations in two variables. We use equations 1 and 2 as a system of equations.
s - c = 4
s + c = 6
Add the equations to use the addition method.
2s = 10
s = 5
Answer: 5 km/h