Amir is growing three plants.
He keeps track of each plant's height over time.
Which plant is growing the slowest?
Answers
Slowest growing plant is plant A.
What is slope?The Slope (also called Gradient) of a line shows how steep it is.
To calculate the Slope:
Divide the change in vertical distance by the change in horizontal distance
Given,
Amir grows three plants,
Graph of plant A is given with straight line,
Height is denoted on x axis,
Time is denoted on y axis
Slope of the line will represent growth rate.
Line passes through (1,2) and (2,4)
slope of the line
= y-y'/x-x'
= 2 - 4/1 - 2
= - 2 / - 1
= 2
Growth rate = 2 inches per month
For plant 2
by the table,
Height is 15 inches in 6 months.
Growth rate = 15/6 = 2.5 inches per month
Equation for plant 3
h = 3.5t
Slope of the equation = 3.5
Growth rate = 3.5 inches per month
By the above calculation,
Growth rate of plant A is least.
Hence, Plant A is growing slowest.
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Related Questions
Pls help with this pleaee
Answers
Answer:
bjrjrjrjrjjrjrkjrjrjrjrjfjfj
Step-by-step explanation:
nbgnntntnthththththt
what point on the line 3x-y=4 is closest to (-2,3) symnolab
Answers
Point on the line 3x-y=4 is closest to (-2,3) are:
(19/10, 51/30)
Now, According to the question:
The equation for the line in slope-intercept form:
y=3x - 4
The slope of this line is m = 3.
A line perpendicular to this line passing through point A(-2,3) has a slope m= -1/3.
The y-intercept for this perpendicular line [go down 2/3 and over 2 from A(-2,3) which is calculated from the slope to get to x-0] is
(-2,3) + (2,-2/3) = (0, [tex]2\frac{1}{3}[/tex] ), so b = 2 1/3.
The equation for this perpendicular line is
y=(-1/3)x + [tex]2\frac{1}{3}[/tex] or
x+3y=7
Solving the system of two linear equations with two unknows substituting y=3x-4 into this equation:
x+3(3x-4)=7
Solve for x:
10x-12=7
x=19/10
19/10 + 3y = 7
30y=70-19
y = 51/30
Hence, Point on the line 3x-y=4 is closest to (-2,3) are:(19/10, 51/30)
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What is the value of cos-1(1/2)
Answers
Answer: The value of cos-1(1/2) is equal to 60 degrees in degrees or π/3 radians in radians.
Step-by-step explanation:
graph and solve 10c+5≤45
Answers
Answer: c ≤ 4, graph is attached.
Step-by-step explanation:
To solve, we will isolate the variable.
Given:
10c + 5 ≤ 45
Subtract 5 from both sides of the equation:
10c ≤ 40
Divide both sides of the equation by 10:
c ≤ 4
Next, since the symbol is less than or equal to, we will have a closed circle. Next, it's less than, so our graph will represent all numbers less than 4.
for his birthday, bert gets a box that holds $125$ jellybeans when filled to capacity. a few weeks later, carrie gets a larger box full of jellybeans. her box is twice as high, twice as wide and twice as long as bert's. approximately, how many jellybeans did carrie get?
Answers
Carrie has 1000 jellybeans in the box.
The volume of Carrie's box is 8 times larger than the volume of Bert's box because 2 x 2 x 2 = 8. Thus, Carrie's box can hold 8 times more jellybeans than Bert's box, which means it can hold approximately 8 x 125 = 1000 jellybeans.
Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Finding the volume of an object can help us to determine the amount required to fill that object, like the amount of water needed to fill a bottle, an aquarium or a water tank.
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Carrie has 1000 jellybeans in the box.
The volume of Carrie's box is 8 times larger than the volume of Bert's box because 2 x 2 x 2 = 8. Thus, Carrie's box can hold 8 times more jellybeans than Bert's box, which means it can hold approximately 8 x 125 = 1000 jellybeans.
Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
Finding the volume of an object can help us to determine the amount required to fill that object, like the amount of water needed to fill a bottle, an aquarium or a water tank.
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What are the view of different uitor who are concerned with the caket incident? what do you think after the view and remark
Answers
According to the comments and opinions of many people involved in the coffin incident, fate is all-knowing and controls every action a person takes. When they choose, they have the wisdom and wit to lose, as Portia correctly observes.
What does Portia think of all of her potential lovers?Portia's witty and entertaining descriptions of her suitors demonstrate that she has not been impressed by any of them. According to her father's will, Portia's future husbands must successfully perform a mission. Three caskets are available for the men to select from: one is made of gold, one of silver, and one of lead. The Prince of Morocco, the Prince of Arragon, and Bassanio are the three suitors that Shakespeare emphasises for Portia. As these three men are the most significant contenders for Portia's hand in marriage, he does this to increase the dramatic tension.The correct coffin is made of lead, and it forewarns the buyer that he must sacrifice and take a chance with everything he has.To learn more about potential lovers, refer to:
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In the example for “solving right triangles using trigonometric ratios”, students solved for a triangle given angle 0 = 48 and b = 10 using cosine and secant. Use the diagram below as a reference
Answers
using trigonometric ratios, following is the proof.
In what way may I locate trigonometric ratios?You can determine trigonometric ratios by either utilizing the provided acute angle or by figuring out the ratios of the right-angled triangle's sides. The formula for trigonometric ratios is sin = Perpendicular/Hypotenuse. base/hypotenuse = cos.
Its given that
θ = 48 , b = 10
Cos θ = b/c
Cos 48 = 10/c Equation (A)
Sec 48 = c/b
sec 48 c/10 Equation (B)
Equation (A) × Equation (B)
Cos 48 × Sec 48
10/c × c/10
1 =1
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A=(2,4,6,8,10)
B=(3,6,9,12,15,18)
R=(A x B: /Y=3x)
Answers
On solving the provided question, we cans say that sets provided are R = (AXB) => AXB = (2,4,6,8,10) X (3,6,9,12,15,18) = (2,3,4,6,7,8,10,12,15,18)
What is sets?A collection of several objects is represented mathematically as a set. Any form of mathematical object can be one of the elements or terms in a set. such as variables, other values, points in space, lines, other geometric forms, and symbols. In mathematics, a set is a logically arranged group of things that may be represented by a list or set builder. Curly brackets are typically used to denote sets. An illustration of a set is A = 1, 2, 3, 4. Among the various types of sets are empty sets, finite sets, equivalence sets, equivalence subsets, universal sets, supersets, and infinite sets.
sets provided are
A=(2,4,6,8,10)
B=(3,6,9,12,15,18)
R = (AXB)
AXB = (2,4,6,8,10) X (3,6,9,12,15,18) = (2,3,4,6,7,8,10,12,15,18)
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What is Fixed Ratio Reinforcement?
Answers
Answer:
Fixed ratio is a schedule of reinforcement
Step-by-step explanation:
Your younger brother is getting stickers from a vending machine at the local supermarket. A proportion of stickers have the phrase "Girls Rule!" If there are 12 stickers with this message in a sample of 36 stickers, what is the 95% confidence interval for this proportion?
Answers
The confidence interval is (0.732, 0.318).
Total samples = E = 36
Number of outcomes = 12
Calculating the probability
= 12/36
= 0.333
The probability that a population parameter would fall between a set of values for a specified percentage of the time is described by a confidence interval. Analysts typically employ confidence intervals that cover 95% or 99% of projected observations.
Value of z for 95% confidence interval = 1.96
Interval = p ± z ( p√ 1 - p/ E)
Taking positive sign
= 0.333 + 1.96 ( 0.333√ 1 - 0.333/ 36)
= 0.318
Taking negative sign
= 0.333 - 1.96 ( 0.333√ 1 - 0.333/ 36)
= 0.732
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Rectangle MNOP is dilated by a scale factor of 1/3 to form rectangle M'N'O'P'. Side O'P' measures 10. What is the measure of side OP?
Answers
The measure of side OP in rectangle MNOP is 30 units.
What is dilation?Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
Given that, rectangle MNOP is dilated by a scale factor of 1/3 to form rectangle M'N'O'P' and side O'P' measures 10, we need to find the measure of side OP.
Since, the scale factor is less than 1 therefore, the dilation is a reduction.
Therefore,
O'P' / OP = 1/3
OP = 3 × 10
OP = 30
Hence, the measure of side OP in rectangle MNOP is 30 units.
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identify each item as independent or dependent : Weight of salmon; cost of salmon
Answers
The Cost of the Salmon will be a dependent variable of weight and its weight will be the independent variable.
What is an Independent or dependent identification?In contrast to dependent items, which cannot exist alone and are dependent on independent items, independent items may exist independently and can be uniquely recognized using the criteria qualities. Relationship refers to the interdependence of an independent and dependent object.
Given two items, the Weight of salmon; the cost of salmon
The difference between the given variables is as follows:
While the independent variable is seen to be the cause, the dependent variable is thought to be the effect.Independent variables are the predictors or regressors, whereas dependent variables are sometimes referred to as predicted variables.Contrary to dependent variables, which need sophisticated mathematical techniques and observations, independent variables can be derived via longitudinal study or by solving difficult mathematical equations.On the graph, independent variables are positioned horizontally, while dependent variables are positioned vertically.The independent variable is unaffected by any change in the dependent variable, yet the dependent variable is also impacted by changes to the independent variable.Since Salmon is a food fish,
its weight will be the independent variable.
And since, Fish sells per kilo.
Thus,
The Cost of the Salmon will be a dependent variable of weight.
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What reasons are there to make implied premises explicit?
Answers
Making implied premises explicit is important for ensuring clarity, transparency, evidence-based arguments, logical rigor, better communication, and improved decision making
There are several reasons to make implied premises explicit:
Clarity: Implied premises can sometimes be ambiguous or unclear. Making them explicit can help to avoid confusion and ensure that all parties involved understand the argument.
Transparency: Implied premises can hide the underlying assumptions of an argument. Making them explicit can increase the transparency of the argument and allow for greater scrutiny of its validity.
Evidence: Implied premises are often based on unstated assumptions or beliefs. Making them explicit can allow for the introduction of evidence to support or challenge these assumptions.
Logical rigor: Implied premises can make an argument appear stronger than it actually is. By making them explicit, the argument can be evaluated more rigorously and any weaknesses or gaps can be identified.
Better communication: Implied premises can be difficult to detect, especially in complex arguments. By making them explicit, the argument becomes easier to follow and understand, facilitating better communication between the parties involved.
Improved decision making: When the premises of an argument are made explicit, it becomes easier to weigh the pros and cons and make informed decisions based on the evidence presented.
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simplify the expression, assume that no variable is zero
Answers
The simplification of the expression are :
a. 1/-5z
b. -5b/3c
c. 2a/9x
What is simplifying expression?Simplifying an expression is just another way to say solving a math problem. When you simplify an expression, you're basically trying to write it in the simplest way possible. At the end, there shouldn't be any more adding, subtracting, multiplying, or dividing left to do.
A. To simply 2xy/-10xyz
we divide through by 2xy which is the common factor
= 1/-5z
B. -15ab/9ac
we divide through by 3a, which is the common factor
= -5b/3c
C. -6ac/-27cx
we divide through by -3c, which is the common factor
= 2a/9x
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A college is currently accepting students that are both in-state and out-of-state. They plan to accept two times as many in-state students as out-of-state, and they only have space to accept 200 out-of-state students. Let x = the number of out-of-state students and y = the number in-state students. Write the constraints to represent the incoming students at the college.
x > 0 and y > 0
0 < x ≤ 200 and y > 400
0 < x and y < 200
0 < x ≤ 200 and 0 < y ≤ 400
Answers
The constraints to represent the incoming students at the college, 0 < x ≤ 200 and 0 < y ≤ 400. So Option D is correct.
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given that,
A college is currently accepting students that are both in-state and out-of-state
They are accepting two times as many in-state students as out-of-state
They can accept only 200 out-of-state students
Suppose,
the number of in-state students = y
the number of out-of-state students = x
According to given condition,
y = 2x
They can accept only 200 out-of-state students,
So, 0 < x ≤ 200
They plan to accept two times as many in-state students as out-of-state,
So, 0 < y ≤ 400
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The temperature is 8 drops 6 per hour what is the temperature at the end of three hours
Answers
Answer: -10 degrees
Step-by-step explanation:
If it drops 6 degrees per hour, then we can use multiplication to see how much it will have dropped after 3 hours:
6 degrees * 3 hours = 18 degrees
If the temperature is 8 degrees, and it drops 18 degrees, we will subtract:
8 degrees - 18 degrees = -10 degrees
Answer:
26 degrees.
Step-by-step explanation:
The temperature will increase by 6 degrees per hour for three hours, so the final temperature after three hours will be:
[tex]\sf:\implies{8 + 6 \times 3 = 8 + 18 = 26 }[/tex]
Therefore, the temperature at the end of three hours is 26 degrees.
How do you find the intersection of the diagonals of a trapezoid?
Answers
The diagonals of these quadrilaterals are bisectors of one another, the point of intersection can be identified by locating the middle of two obliquely opposing vertices.
How do you find the point of intersection of a diagonal?Given is a trapezoid ABCD with sides that are parallel to one another. The diagonals' point of intersection is parallel to both AB and CD's midpoints.
Unlike with rhombi and squares, the diagonals of an isosceles trapezoid are not always perpendicular. Congruence exists between them, though. The two diagonals are always congruent whenever you discover an isosceles trapezoid. A trapezoid that is isosceles has congruent diagonals.
A trapezoid that is isosceles has congruent diagonals. A line connecting the middle points of the non-parallel sides of a trapezoid is called the midsegment. A trapezoid has one and only one midsegment. The fact that it is situated midway between the bases means that it will be parallel to them.
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Is "Johann Sebastian Bach is the greatest of all the Baroque composers" a proposition? Why?
Answers
"Johann Sebastian Bach is the greatest of all the Baroque composers"
a proposition, The proposition is a meaningful statement. without any question,
Mathematical reasoning techniques are laid forth in the rules of mathematical logic. The father of logical reasoning was the Greek philosopher Aristotle. The theoretical foundation for many branches of mathematics, and hence computer science, is provided by logical reasoning. It is used in the design of computing devices, artificial intelligence, the definition of data structures for programming languages, and many other practical areas of computer science.
Statements to which the truth values "true" and "false" can be given are the focus of propositional logic. The objective is to evaluate these claims, either singly or collectively.
"Johann Sebastian Bach is the greatest of all the Baroque composers"
a proposition
The proposition is a meaningful statement. without any question,
in our case, Johann is the greatest composer, is truth statement,
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Ms. Avila got blue ribbons to give to participants at the school science fair. She ordered 120
blue ribbons from the Smart Start school supplier. Since this was a bulk order, Smart Start
reduced the price of each blue ribbon by $0.75. The total came to $60.
Which equation can you use to find the amount of money, b, Smart Start normally charges
for a blue ribbon?
Answers
555
Step-by-step explanation:55
Write a function rule for the statement: The output is seven more than one-third of the input
Answers
The function rule for the statement "The output is seven more than one-third of the input" can be written as: y = 1/3x + 7
The pattern represented in the input/output table must be represented by the function rule when it is written from the data in the table. Start by searching for a pattern between the input and output numbers. The output numbers' values are quite similar to the input number multiplied by three.
Let x be the input, and y be the output.
As we have the statement as:
The output is seven more than one-third of the input
So, we can write the function as:
y = 1/3x + 7
This represents the relationship between the input and the output,
where the output is seven more than one-third of the input.
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A hemisphere fits snugly inside a cylinder with a radius of 8 cm. A cone fits snugly inside the same hemisphere.
a. What is the volume of the cylinder?
b. What is the volume of the cone?
c. Estimate the volume of the hemisphere by calculating the average of the volumes of the cylinder and cone.
Answers
Answer:
guys i have no idea
Step-by-step explanation:
The volumes of the cylinder, the cone and the hemisphere are 512π cm³, 170.6π cm³ and 341.3π cm³ respectively.
What is volume?Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
Given that, a hemisphere fits snugly inside a cylinder with a radius of 8 cm. A cone fits snugly inside the same hemisphere.
Since, all of them are tightly packed in one another therefore, radius of all them will be equal,
And, and the radius of the cylinder is 6 cm, the radius of the hemisphere equals the radius of the cylinder. Also, the height of the cylinder equals the radius of the hemisphere.
r = radius of cylinder = 8 cm and
h = height of cylinder = radius of hemisphere = 8 cm
We know that,
Volume of a cylinder = π × radius² × height
Volume of a cone = 1/3 × π × radius² × height
Therefore,
a) The volume of cylinder =
π × 8² × 8 = 512π cm³
b) The volume of cone =
1/3 × π × 8² × 8 = 170.6π cm³
c) Volume of the hemisphere = (512π + 170.6π) / 2
= 341.3π cm³
Hence, the volumes of the cylinder, the cone and the hemisphere are 512π cm³, 170.6π cm³ and 341.3π cm³ respectively.
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Which of the following definite integrals is equal to limn→[infinity]∑k=1n10kn(1+5kn−−−−−−√)(5n)limn→[infinity]∑k=1n10kn(1+5kn)(5n) ?∫6110x√ⅆx∫1610xⅆxthe integral from, 1 to 6, of, 10 times, the square root of x, end root, d xA∫612xx√ⅆx∫162xxⅆxthe integral from, 1 to 6, of, 2 x times, the square root of x, end root, d xB∫50101+x−−−−−√ⅆx∫05101+xⅆxthe integral from, 0 to 5, of, 10 times, the square root of 1 plus x, end root, d xC∫502x1+x−−−−−√ⅆx
Answers
The definite integral equal to limn→[infinity]∑k=1n10kn(1+5kn−−−−−−√)(5n) is ∫50101+x−−−−−√ⅆx.
What is integral ?
An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data.
to find the definite integral from a given interval that is equal to the limit of a summation as n approaches infinity. The limit of the summation is expressed as the product of 10, the summation of a term k that ranges from 1 to n, and a fraction involving the square root of 1 plus 5k times n.
To determine the definite integral that is equal to this limit, we need to identify the integrand, the interval of integration, and the constant factor of 10. By comparing the integrand, interval, and constant factor to the different definite integrals listed in the answer choices, identify the correct answer.
The definite integral equal to limn→[infinity]∑k=1n10kn(1+5kn−−−−−−√)(5n) is ∫50101+x−−−−−√ⅆx.
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Raphael saw a square patio that was 12-feet long on each side. He wants to build a patio that will be 15-feet long on each side
Answers
The change in the scale factor is 4/5.
A scale factor is defined as the ratio between the scale of a given original object and a new object.
12 / 15
12 ÷ 3 = 4
15 ÷ 3 = 5
4/5
Answer key: The change of scale means that 1 inch represented 4 feet, but now 1 inch represents 5 feet.
1 inch represents 4 feet which factors 12 feet.
4 cannot factor 15 feet.
5 can factor 15 feet.
1 inch would represent 5 feet then.
15 ÷ 5 = 3 inches
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two symmetric dice have had two of their sides painted red, two painted black, one painted yellow, and the other painted white. when this pair of dice is rolled, what is the probability that both dice land with the same color face up
Answers
The probability that both dice land with the same color face up is 4/6 = 2/3
To find the probability
The probability that both dice land with the same color face up is 1/6.
There are 6 possible outcomes when rolling two dice:
Both dice land with red sides upBoth dice land with black sides upBoth dice land with yellow sides upBoth dice land with white sides upOne die lands with a red side up and the other with a black side upOne die lands with a yellow side up and the other with a white side upOut of these 6 possible outcomes, only 4 of them result in both dice landing with the same color face up:
Both dice land with red sides upBoth dice land with black sides upBoth dice land with yellow sides upBoth dice land with white sides upSo, the probability that both dice land with the same color face up is 4/6 = 2/3.
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The probability that both dice land with the same color face up is 4/6 = 2/3
The probability that both dice land with the same color face up is 1/6.
There are 6 possible outcomes when rolling two dice:
Both dice land with red sides upBoth dice land with black sides upBoth dice land with yellow sides upBoth dice land with white sides upOne die lands with a red side up and the other with a black side upOne die lands with a yellow side up and the other with a white side upOut of these 6 possible outcomes, only 4 of them result in both dice landing with the same color face up:
Both dice land with red sides upBoth dice land with black sides upBoth dice land with yellow sides upBoth dice land with white sides upSo, the probability that both dice land with the same color face up is 4/6 = 2/3.
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a local pizza restaurant delivery time has a uniform distribution over 10 to 75 minutes. what is the probability that the pizza delivery time is more than 45 minutes on a given day? answer: (round to four decimal places.)
Answers
The probability that the pizza delivery time is more than 45 minutes on a given day is 0.4615..
To calculate the probability, we need to find the area under the uniform distribution curve from 45 minutes to the maximum delivery time of 75 minutes.
The formula for a uniform distribution is:
f(x) = 1/(b-a)
where a is the minimum delivery time of 10 minutes and b is the maximum delivery time of 75 minutes.
The probability of a delivery time being greater than 45 minutes is:
P(X > 45) = 1 - P(X ≤ 45) = 1 - (45 - 10)/(75 - 10) = 1 - (35/65) = 1 - 0.53846 = 0.46154
Round off to four decimal places.
P(X > 45) = 0.4615
So the probability that the pizza delivery time is more than 45 minutes on a given day is 0.4615.
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Algebraically determine the limit. (Note: This exercise corresponds to the subsection Algebraically Determining Limits.) lim (4 + b)2-82 DO h
Answers
Limit, (4 + b)² - 8², Algebraically Determining Limits, h approaches 0, Expansion Formula for Square, Lim [(4 + b + h)² - 8² = (4 + b)² - 64.
To algebraically determine the limit, we can use the definition of a limit.
The limit of (4 + b)²-8² as h approaches 0 is equal to the limit of (4 + b + h)² - 8² as h approaches 0 minus (4 + b)² - 8².
Using the expansion formula for a square, we can write:
(4 + b + h)² - 8² = (4 + b)² + 2(4 + b)h + h² - 64
Now, taking the limit as h approaches 0:
lim [(4 + b + h)² - 8²] = lim [ (4 + b)² + 2(4 + b)h + h² - 64 ] = (4 + b)² - 64
So,
lim (4 + b)² - 8² as h approaches 0 = lim [(4 + b + h)² - 8²] - (4 + b)² + 64 = lim [(4 + b + h)² - 8²]
Hence,
lim (4 + b)² - 8² as h approaches 0 = lim [(4 + b + h)² - 8² = (4 + b)² - 64.
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Each of thee equation repreent the ame function written in different form. Standard Form: f(x)=x2−10x24
Factored Form: f(x)=(x−4)(x−6)
Vertex Form: f(x)=(x−5)2−1
The zero of a function are the value of x for which the function i equal to zero. Which form of the equation make it eaiet to ee the zero of the function?
Answers
The factored form makes it easiest to see the zeros of the function, as they correspond to the roots (x-intercepts) of the equation. In this form, the zeros are x=4 and x=6.
Form for Function ZerosTo find the zeros of a function from its factored form:Set each factor equal to zero:(x-4) = 0 or (x-6) = 0
Solve for x:x = 4 or x = 6
These values correspond to the x-intercepts, or zeros, of the function.
The zeros of a function are the values of x where the function intersects the x-axis, or where the value of the function is equal to zero. In a factored form, each factor is equal to zero at specific values of x. These values correspond to the x-intercepts of the function, which are the zeros.
By setting each factor equal to zero and solving for x, we find the x-intercepts of the function, which are the zeros. This is why the factored form makes it easiest to see the zeros of a function.
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Find the value needed for the "?" to make the equation true.
(m^4n^3)^? = 1
Answer: ?=__
Answers
The question mark should be replaced with 0 to find the desired answer as 1.
As per the rule of exponents, we know that exponent as 0 to any equation will yield the result 1. Thus, the question mark if replaced by zero will give the desired result.
Before writing the expression, let's understand base and exponent. So, base is the number that has to be multiplied by itself according to the exponent. Exponent is the number that determines the number of times base has to be multiplied.
Now, rewriting the exponents -
([tex] {m}^{4} [/tex]×n³)⁰ = 1
The overall expression on Left Hand Side has the exponent 0, so complete equation will be 1.
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When considering stand-alone risk, the return distribution of a less risky investment is more placed ("tighter") than that of a riskier investment. What shape would the return distribution have for an investment witha) completely certain returns andb) completely uncertain returns?
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For an investment with completely certain returns, the return distribution would be a very tight, vertical line at the predetermined return. This is because the risk associated with the investment is zero, meaning the return will not vary regardless of market conditions.
For an investment with completely uncertain returns, the return distribution would be a flat line with no particular shape. This is because the risk associated with the investment is very high, meaning the return could be anything, as it is impossible to predict the returns with any degree of accuracy.
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How do you find the linear combination of matrices?
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By multiplying matrices by scalars and combining the results, linear combinations can be created.
What are matrices ?
The word "matrix" can be used to refer to a rectangular array or table with numbers or other components arranged in rows and columns. Any number of columns and rows are allowed. Matrix operations include addition, multiplication, transposition, scalar multiplication, and many others.
In mathematics, a linear combination is any expression of the form axe + by, where a and b are constants, that is created from a set of terms by multiplying each term by a constant and adding the results. For example, a linear combination of x and y would be any expression of this kind.
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