this is a CALCULUS question, "Derivatives As A function"
I want to know the answer and how did u get it, I'm really lost in this subject
Answers
Derivative Functions
The derivative function gives the derivative of a function at each point in the domain of the original function for which the derivative is defined. We can formally define a derivative function as follows.
Definition:
let f be a function. The derivative function, denoted by f', is the function whose domain consists of those values of x such that the following limit exists:
\(f'(x)= \lim_\\ \ \\ \frac{f(x+h)-f(x)}{h} {h \to 0}\)
Related Questions
Help help help help
Answers
Answer:
5.83095189
Step-by-step explanation:
Answer: =4
Step-by-step explanation:
we are going to but (5 squared -3squared ) =4
hope this helps
Please answer this correctly
Answers
Explanation:
The upper quartile, or quartile 3, is the median of the upper half of the set. In this case, the upper quartile is 300.
The builder recommends to Siya that he buys 10% more tiles than required in case of breakages. the tiles he likes are R234 for a box of 6 tiles. How much will Siya spend on tiles?
Answers
The amount Siya will spend on tiles is given by the expression (1.1 x T / 6) x R234, where T represents the required number of tiles. To calculate the amount Siya will spend on tiles, we need to determine the number of boxes of tiles he needs to purchase and then multiply it by the price per box.
First, we need to determine the number of tiles required. Let's assume the required number of tiles is represented by the variable "T."
Since the builder recommends buying 10% more tiles in case of breakages, Siya needs to purchase 110 percentage of the required number of tiles. This can be calculated as:
110% of T = 1.1 x T
Next, we need to convert the number of tiles into the number of boxes required. We know that one box contains 6 tiles, so the number of boxes Siya needs to purchase is:
Number of boxes = (1.1 x T) / 6
Finally, we can calculate the total cost by multiplying the number of boxes by the price per box:
Total cost = (1.1 x T / 6) x R234
Please note that without knowing the specific number of tiles required (T), we cannot provide an exact amount Siya will spend.
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Find the slope of the line that contains the following pair
of points:
(-4, 1) and (2, 5).
Answers
Answer:
\(\displaystyle m = \frac{2}{3}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: \(\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}\)Step-by-step explanation:
Step 1: Define
Identify.
Point (-4, 1)
Point (2, 5)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in variables [Slope Formula]: \(\displaystyle m = \frac{5 - 1}{2 + 4}\)[Order of Operations] Add/Subtract: \(\displaystyle m = \frac{4}{6}\)Simplify: \(\displaystyle m = \frac{2}{3}\)Using the number line below, determine which of the following expressions are equal to 16. Select all that apply.
–8 – 8
–4 – 12
10 – (–6)
–3 – (–13)
–2 – (–18)
2 – (–14)
Answers
Answer:
10-(-6), -2-(-18), 2-(-14)
Step-by-step explanation:
ind the area inside 2cos 3r
(tip: use6
and6
)
Answers
The area inside the polar curve R = 2cos(3θ) for three full rotations is 6π.
The polar curve R = 2cos(3θ) is symmetric about the x-axis, with three petals that extend from θ = 0 to θ = π/3, π to 4π/3, and 5π/3 to 2π. To find the area inside the curve, we need to integrate the expression for the area element in polar coordinates over the desired region:
dA = (1/2) \(R^{2}\) dθ
The limits of integration for θ are from α = -6π to β = 6π, since we want to find the total area inside the curve for three full rotations. Thus, the integral for the area is:
A = ∫(β=6π, α=-6π) (1/2) \(R^{2}\)dθ
= ∫(β=6π, α=-6π) (1/2) (2cos(3θ))^2 dθ
= 2∫(β=6π/3, α=-6π/3) cos^2(3θ) d(3θ) (using the identity cos^2(3θ) = (1 + cos(6θ))/2)
= ∫(β=6π/3, α=-6π/3) (1/2 + (1/2)cos(6θ)) d(3θ)
= (1/2)θ + (1/12)sin(6θ) ∣(β=6π/3, α=-6π/3)
= (1/2)(6π - (-6π)) + (1/12)(sin(36π) - sin(-36π))
= 6π
Correct Question :
Find The Area Inside R=2cos(3θ) (Tip: Use Α=−6π And Β=6π )
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A consulting firm claimed that 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex. The claim was tested by taking a random sample of 60 online shoppers and assigning them each a different randomly selected e-commerce Web site to test. 45 reported sufficient frustration with their sites to deter making a purchase. The data was entered into STATISTIX and the following output was generated:
Hypothesis Test - One Proportion
Sample Size 60
Successes 45
Proportion 0.75000
Null Hypothesis: P = 0.65
Alternative Hyp: P > 0.65
Difference 0.10000
Standard Error 0.05590
Z (uncorrected) 1.62 P 0.0522
Method 95% Confidence Interval
Simple Asymptotic (0.64043, 0.85957)
Which of the following statements is correct if we are testing at α = 0.05?
a. There is sufficient evidence to indicate that more than 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.
b. There is sufficient evidence to indicate that exactly 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.
c. There is insufficient evidence to indicate that exactly 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.
d. There is insufficient evidence to indicate that more than 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.
Answers
Answer:
b. There is sufficient evidence to indicate that exactly 65% of all e-commerce shoppers fail in their attempts to purchase merchandise on-line because Web sites are too complex.
Step-by-step explanation:
Not significant,accept null hypothesis that population proportion = 0.65
When we accept the null hypothesis that P= 0.65
Then only option b is correct which states that there is sufficient evidence to support that population proportion is exactly 0.65 .
1) We obtain a P - value of 0.0522 which is greater than 0.5 indicating that the null hypothesis is not rejected.
The rejection region for this right-tailed test is z > 1.64
2) Test Statistics
z= p`-p0/ sqrt(p0(1-p0)/n)
The z-statistic is computed as follows:
z= 0.75-0.65/ √(0.65*0.35)60
z= 1.624
3) Decision about the null hypothesis
Since it is observed that z = 1.624 is less than z ∝=1.64, it is then the null hypothesis is not rejected.
Mark used the computer for 12 hours. If the average power use of a computer per hour is 299 watts, how much power did Mark use?
Answers
Answer:
Step-by-step explanation:
To be able to solve, you need to multiply 12 (the amount of hours he used) by 299 (since he used 299 per hour) this would result in you getting a answer of 3,588 watts of power.
<1 and <5 are ___ angles.
right
vertical
alternate interior
corresponding
angles.
Answers
Answer:
corresponding
Step-by-step explanation:
<1 and <5 are corresponding angles because they are on the same side of the transversal and on the same side of l and m
(06.03 MC)
An archer shoots an arrow up towards a target located on a hill, which is shown by the graph.
A graph of a line and a parabola intersecting at (48.63, 10.7).
Which set of equations best models the point of intersection of the arrow and the target?
y = –0.004x2 + 0.25x + 8 and y = x
y = 0.004x2 + 0.25x + 8 and y = 0.22x
y = –0.004x2 + 0.25x + 8 and y = 0.22x
y = –0.004x2 + 0.25x + 8 and y = –x
Answers
The set of equation that models the point of intersection of the arrow
and the target is the option; y = -0.004·x² + 0.25·x + 8 and y = 0.22·x
How can the given equations be analyzed?The given parameters are;
Point of intersection of the line and the parabola is the point (48.63, 10.7)
Therefore, the point (48.63, 10.7) satisfies both the equation of the
parabola and the equation of the line, which by plugging in the value x =
48.67 in the different parabolas, we have;
The first set;
y = -0.004 × 48.67² + 0.25 × 48.67 + 8 ≈ 10.7, which corresponds with the ordered pair.The linear function in the first set should be excluded, given y ≠ x in the
ordered pair.
In third set, y = -0.004 × 48.67² + 0.25 × 48.67 + 8 ≈ 10.7, while, from the
ordered pair, we have;
y = C·x
10.7 = 48.63·x
\(C = \dfrac{10.7}{48.63} \approx \mathbf{0.22}\)
Therefore;
y ≈ 0.22·x
The set of equations that best models the point of intersection of the arrow and target are therefore;
y = -0.004·x² + 0.25·x + 8 and y = 0.22·xLearn more about the equation of a parabola here:
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4 to the 3 power, x 4 to the 4th power, divide by 4 to the 9th power
Answers
Answer:
We can simplify the expression as follows:
4^3 * 4^4 / 4^9
First, we can simplify the terms in the numerator by adding the exponents of 4:
4^3 * 4^4 = 4^(3+4) = 4^7
Now, we can substitute this value in the expression:
4^7 / 4^9
To divide powers with the same base, we can subtract their exponents:
4^(7-9) = 4^(-2)
Therefore, the simplified expression is:
4^3 * 4^4 / 4^9 = 4^(-2)
So, the final answer is 1/16 or 0.0625.
Simplify the expression.
2w-g-7w+3g
Answers
you subtract 2w from -7w and you get -5w
then you subtract -g from 3g and get 2g
So you are left with -5w+2g
Answer:
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how could you use a graph of a proportional relationship to find any ratio in the the proportional relationship why does this work?
Answers
It should be emphasized that a relationship is proportional if its graph is a line that passes through its origin.
How should the information be illustrated?
If the graph of a connection is a line passing through the origin, the connection is proportionate. If it is not a line or ray that fails to do this, the ratio is not proportional. The equation for the proportionality constant is K = y/x. This is the same equation used to get the slope of a straight line with respect to the origin.
If the graph of a relationship is a line or ray that goes through the origin, the relationship is proportional. If the line or ray does not pass through the origin, it is not proportional. Additionally, if anything is not linear, it is not proportionate.
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Calculate the standard score (z-score) of the given sample mean. Round your answer to two decimal places.
μ = 35 and o = 9; n = 60; x = 32
Answers
The standard score (z-score) of the given sample is -20.
Given,
\(u\) = 35
\(o\) = 9
n = 60
x = 32
To calculate standard score (z-score) use formula,
\(z=\frac{x-u}{\frac{o}{n} }\\\\z=\frac{32-35}{\frac{9}{60} }\\\\z=\frac{-3}{0.15}\\ \\z=-20\)
Thus, the standard score(z-score) of given sample mean is -20.
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900 students attend Ridgewood Junior High School. 2% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
Answers
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
The number of students who brought lunch on Thursday is 18 students.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Number of students = 900
Number of students that brought lunch = 2% of 900
The number of students who brought lunch on Thursday.
= 2% of 900
= 2/100 x 900
2 x 9
= 18 students.
Thus,
The number of students who brought lunch on Thursday is 18 students.
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Someone please help me with this 20 points
Answers
Answer:
it says 10 points
Step-by-step explanation:
Answer:
<1 = 142 <3= 142
Step-by-step explanation:
a straight line is 180 which is what the diagonal line is. If u subtract 180- 38= 142. Since angle 1 and 3 are vertical angles u get the same answer
Find mLY and WY.
И
12
7 in.
7 in.
60°
X
Look at the image below, can anyone help me?
Answers
Answer:
∠ Y = 60° , WY = 7 in
Step-by-step explanation:
the sides WX and YX are congruent then the triangle is isosceles with base angles congruent, that is
∠ Y = ∠ W = (180 - 60)° ÷ 2 = 120° ÷ 2 = 60°
Since all 3 angles in the triangle are congruent , all 60° then the triangle is equilateral with 3 congruent sides, then
WY = 7 in
The sum of 4 times a number and 8 equals 3
Answers
The given equation is:
4x + 8 = 3
Subtracting 8 from both sides, we get:
4x = -5
Dividing both sides by 4, we get:
x = -5/4
Therefore, the solution to the equation is x = -5/4.
50 POINTS (BRAINLY IF YOU ARE RIGHT)
A regular pentagon has an area of 124.25 square meters, and each side of the pentagon measures 7.1 meters.
What is the length of an apothem of the pentagon?
Answers
Answer:
7.076 m
Step-by-step explanation:
First, calculate the perimeter of the pentagon by multiplying the number of sides by the length of one side. This is equal to 5 * 7.1 = 35.5 meters.
Divide the perimeter by 2 to find the length of one side of the pentagon's inscribed triangle. This is equal to 35.5 / 2 = 17.75 meters.
Use the formula for the area of a regular pentagon to find the length of the apothem: A = (Perimeter * Apothem) / 2. Solving for the apothem:
Apothem = (2 * Area) / Perimeter = (2 * 124.25) / 35.5 = 7.076 meters.
7.076 m
Step-by-step explanation:
First, calculate the perimeter of the pentagon by multiplying the number of sides by the length of one side. This is equal to 5 * 7.1 =
35.5 meters.
Divide the perimeter by 2 to find the length of one side of the pentagon's inscribed triangle.
This is equal to 35.5 / 2 = 17.75 meters.
Use the formula for the area of a regular pentagon to find the length of the apothem: A = (Perimeter * Apothem) / 2. Solving for the apothem:
Apothem = (2 * Area) / Perimeter = (2 *
124.25) / 35.5 = 7.076 meters.
how do you find answer to 9/35 - 1/5?
Answers
Answer:
2/35
Step-by-step explanation:
\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)
Q.1 Thee are five girls and three boys in a group. The teacher chose one person at random. How could the teacher make a random choice?
Q.2 A random number generator generates a whole number in the range 1 to 100. What is the probability it is 40 or more if the number is greater than 25?
Answers
Answer:
Q1: She can write names of each Student on separate Papers and choose one Randomly, the Result may be 5:3 Girls to Boys
Q2: 75/100
What is the rule for the pattern below?
58, 50, 42, 34, 26
Answers
Answer:
Subtract 8 each time.
-8
Down 8
Explanation
if y= 0 what is y+10+10
Answers
Given:
y=0, y+10+10
statement of equality between two expressions consisting of variables and/or numbers
to solve the equation y+10+10, if y=0
substitute the value y=0, in the equation
which is equal to y+10+10= 0 +10 + 10 = 20
so the final answer is 20.
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PLZ HElp me wit this. thxxxxxxxx
Answers
Answer:
A and BStep-by-step explanation:
We are looking for the points which satisfy the equation:
x + y = 5If we graph this line only two points appear on the same line:
A(2, 3) and B(3, 2)Find the circumference of the circle. use 3.14 for
39 cm
Answers
Answer:
circumference (c) , radius (r)
Step-by-step explanation:
c=2 pi r
c=2*3.14 *39
c= 244.92cm
Answer:
The circumference is about 22.14cm
Step-by-step explanation:
This is because first you take the area and multiply it by pi. Next you take the square root of this number. Now you take this number and multiply it by 2 to get 22.14.
Hope I helped! Have a Great rest of your day! :-)
Two coins are tossed. Assume that each event is equally likely to occur.
a) Use the counting principle to determine the number of sample points in the sample space.
b) Construct a tree diagram and list the sample space.
c) Determine the probability that no tails are tossed.
d) Determine the probability that exactly one tail is tossed.
e) Determine the probability that two tails are tossed.
f) Determine the probability that at least one tail is tossed.
Question content area bottom
Part 1
a) There is/are ______sample point(s) in the sample space.
Answers
a) There are 2 x 2 = 4 sample points in the sample space
How to solve
b) Tree Diagram
O D.\nH\nHe\nT\nH\nT\n
Sample space: D. HH, HT, TH, TT
c) P(no tails) = P(HH)
= 1/4
d) P(exactly one tail) = P(HT, TH)
= 2/4
= 1/2
e) P(2 tails) = P(TT)
= 1/4
f) P(at least one tail) = P(HT, TH, TT)
= 3/4
In mathematics, tree diagrams are often used in probability and statistics to show all the possible outcomes of an event. In computer science, they are used to represent the hierarchical structure of files and directories in a file system
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^
Which is the graph of the linear inequality 2x - 3y < 12?
Answers
The graph of the linear inequality 2x – 3y < 12 is given below. Then the correct option is A.
The missing options are given below.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
2x – 3y < 12
Then the correct graph will be given below.
Then the correct option is A.
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i need to know the degrees equaled to the question
Answers
Answer: 141°
Ayudaaaaaa
Porfi
Gracias
Answers
The expression representing the perimeter of the polygon is given as follows:
7mn³/3 + 4m² + 3mn².
What is the perimeter of a polygon?The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.
Hence the perimeter for the polygon in this problem is given as follows:
mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².
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15 people working 5 hourse per day can make 30 units of a product in 10 days. Assuming all other factors remaining constant and people of same efficiency are used to make the same products, in how many days can 10 people make 10 units of the product if each of them works 10 hours per day?
- 2.5 days
- 7.5 days
- 12 days
- 26 days
Answers
Answer:
2.5 days
Step-by-step explanation:
To solve this problem, we can use the concept of work rate. The work rate is defined as the amount of work done per unit of time.
Given:
15 people working 5 hours per day can make 30 units of the product in 10 days.
From this information, we can calculate the work rate of these 15 people:
Work rate = Total units of the product / (Number of people × Number of hours × Number of days)
Work rate = 30 units / (15 people × 5 hours × 10 days)
Work rate = 0.04 units per person per hour
Now, we need to find how many days it will take for 10 people, working 10 hours per day, to make 10 units of the product.
Using the work rate formula:
Number of days = Total units of the product / (Number of people × Number of hours × Work rate)
Number of days = 10 units / (10 people × 10 hours × 0.04 units per person per hour)
Number of days = 2.5 days
Therefore, 10 people, working 10 hours per day, can make 10 units of the product in 2.5 days.
The correct answer is:
2.5 days