The table represents some points on the graph of linear function f.
x = -2, 1, 5, 10
f(x) = -224, 64, 448, 928

Which function represents f`? Please show your work.
A. f(x) = 32(3x - 1)
B. f(x) = -32(x - 3)
C. f(x) = -2(32x - 3)
D. f(x) = 16(2x - 1)

The standard error for sample means is equal to the sample standard deviation when the sample size is more than 30 is a "false" statement.

For the stated question-

Let's assume that our sample size is 30 and that the population standard deviation is 10.

standard error = 10/√30 = 1.83

Now let me use a sample size of 100 while keeping overall population standard deviation constant.

=10/10 = 1

It is obvious that with this sample size, the standard error will alter.

Therefore, when our sample size grows, the standard error will drop rather than stay the same.

Thus, the standard error for sample means is equal to the sample standard deviation when the sample size is more than 30 is a "false" statement.

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The instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point.

From the above given data, the following solution is given below:

Given:

Let f(x,y,z) = x³z - yz²

To find the partial derivatives of f

Here the directional derivative of a function f(x,y,z) is given by:

(df/dx , df/dy, df/dz)

df/dx = 3x²

df/dy = -z²

df/dz = x³ - 2yz

at points(1,3,2)

(df/dx)₍₁,₃,₂₎ = 3(1)² = 3

| (df/dx)₍₁,₃,₂₎ | = 3

(df/dy)₍₁,₃,₂₎ = -2² = 4

| (df/dy)₍₁,₃,₂₎ | = 4

(df/dz)₍₁,₃,₂₎ = 1³ - 2*3*2 = 1-12 = -11

| (df/dz)₍₁,₃,₂₎  | = 11

As we got the maximum modulus of derivative in direction of x. Since, therefore we should move into z direction to maximize the directional derivative.

(df/dz)₍₁,₃,₂₎  = -11

Hence, the instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point.

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The instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point | (∂f/∂z)₍₁,₃,₂₎  | = 11.

What is instantaneous rate of change?

The derivative value change at a particular point is the same as the instantaneous rate of change, which is the change in rate at a specific instant. The tangent line slope and the instantaneous rate of change at a given point on a graph are the same. That is, the slope is curved.

From the given data, the solution is given below:
Given:
Let f(x, y, z) = x³z - yz²
To find the partial derivatives of f
Here the directional derivative of a function f(x, y, z) is given by:
(∂f/∂x , ∂f/∂y, ∂f/∂z)

∂f/∂x = 3x²

∂f/∂y = -z²

∂f/∂z = x³ - 2yz

at points(1,3,2)

(∂f/∂x)₍₁,₃,₂₎ = 3(1)² = 3

| (∂f/∂x)₍₁,₃,₂₎ | = 3

(∂f/∂y)₍₁,₃,₂₎ = -2² = 4

| (∂f/∂y)₍₁,₃,₂₎ | = 4

(∂f/∂z)₍₁,₃,₂₎ = 1³ - 2*3*2 = 1-12 = -11

| (∂f/∂z)₍₁,₃,₂₎  | = 11

As we got the maximum modulus of derivative in direction of z. Since, therefore we should move into z direction to maximize the directional derivative.
(∂f/∂z)₍₁,₃,₂₎  = -11
Hence, The instantaneous rate of change is the change in the rate at a particular instant and it is same as the change in derivative value at a specific point.

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Complete question:

Complete question is attached below.

The percent increase of his tips from Friday to Saturday is 35/3%.

T is equal to 112/3% as a mixed percentage fraction or 35/3% as an uncommon percentage fraction (decimal fraction: 0.116667)

PREMISES

T is the proportion of a waiter's tips that increased from $300 on Friday to $335 on Saturday.

CALCULATIONS

T=($335-$300)/$300

T=[($35/$300)100]%

T=[(7/60)100]%

T=[(7×100)/60]%

T=70/6%

A mixed percentage fraction of 112/3% or a percentage fraction of 35/3% (decimal fraction: 0.116667)

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Professional tennis players may constitute a(n) symbolic group for an amateur tennis player

A symbolic group is one in which a person is unlikely to be accepted even if they act like a member by emulating their beliefs, attitudes, and behaviors. For young people, cricket players like Sachin Tendulkar, Sourav Ganguly, etc., may serve as a representative group. By concentrating on the small scale, symbolic interactionism examines the individual within a community and their relationships with others.

Similar to this, professional tennis players may serve as a symbolic group for an amateur tennis player who identifies with certain players by mimicking their behavior whenever possible, even though the amateur tennis player does not meet the criteria for membership in the category of professional tennis players because he or she does not have the necessary skills or access to the professional circuit.

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Answer:

There were 51 managers.

Step-by-step explanation:

First, turn the percentage into a decimal by moving the decimal point over twice to get 0.68. Then, set up this equation:

0.68 x 75 = 51 managers.

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Answer: -13.7142x ≈ -13.72x

Step-by-step explanation:

Combine like terms. (-4/7) and (4/7) cancel each other out because you are subtracting the exact number you are starting with. So you are left with 2/7x - 14x. 2/7-14 = -13.7142 so the answer is -13.7142x. Depending on how you round, the number will be slightly different. You may want to round to the nearest hundredth or tenth place.

(I left out the x in the answer in the picture but it is supposed to be after the -13.7142)

Answer: y=-3

Step-by-step explanation:  In order to figure out what y would be in this problem, you would subtitute -1 in for x . and ask your self " What is 2* a -1? , The answer to that question would be -2 , ok. then the next step is to take the -2 and subtract by y which in case is 1 or -1 which will get you the answer of y=-3.

Hoped that helped!

The value for speed V is 188.15 m/s

It was given that a particle accelerates from rest with an acceleration of 3 m/s² to a speed V

It continues at this speed for time T and then decelerates to rest at 1.5m/s². The total time for the motion is 1 minute, and the total distance traveled is 1 km

During acceleration:

a = 3 m/s², at rest u = 0, t = T

V = u + at

V = 0 + 3T

V = 3T

During deceleration:

a = 1.5 m/s², t = 1 minute = 60 s, distance(s) = 1 km = 1000 m

V² = u² +2as

V² = (3t)² +2(1.5×1000)

V² = (3×60)² + 3000

V² = 32400 + 3000

V² = 35400

V = √35400

V = 188.15 m/s

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Pairs 1 &2 are not similar whereas pairs 3&4 are similar.

The term "similarities" refers to pairs of objects whose corresponding sides have the same ratio. When two figures, such as the rectangles A and B, are given:

length A/length B equals width A/width B

We enter the values of the pairs in the formula above to determine which pairs are similar:

Pair 1

169/1.3=130

49/0.7=70

130 ≠70

therefore the first pair is not similar

Pair 2

18.55/5.3=3.5

10.5/3.5=3

Pair 2 is not similar

Pair 3

120/24=5

60/12=5

this implies that pair 3 is similar

Pair 4

189/2.1=90

81/0.9=90

this means that pair 4 is similar.

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$17505 must be deposited today.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

Variable principal payments, or the portion of your mortgage payment that goes toward the loan itself rather than interest, are what give compound interest its feel.

Simple or compound interest are also possible. A loan's or deposit's initial principal serves as the foundation for simple interest.

Contrarily, compound interest is calculated based on both the principal amount and the interest that is accrued on it each period. Simple interest is simpler to calculate than compound interest because it is only applied to the principal.

According to our question-

In order to calculate compound interest, we would use the formula A = P(1+r/n)nt.

Where A = the account's total balance at the end of t years, and r is the interest rate.

The periodic interval at which it was compounded is represented by n.

P stands for the principal, or the initial deposit amount.

Since it was compounded once a year, A = 30000 r = 8% = 8/100 = 0.08 and n = 1 according to the information provided.

t = year

In light of this, 30000 = P(1 + 0.08/1)1 7 30000 = P(1.08)7 30000 = 1.7138P

P = 30000/1.7138 \s P = $17505

Hence, $17505 must be deposited today

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Answer:

check the attached file

Step-by-step explanation:

Answer:

area of the isosceles triangle is [tex]60cm^{2}[/tex]

Step-by-step explanation:

three sides are a=10, b=13, c=13

Area of Triangle:

[tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]

where,

[tex]s=\frac{a+b+c}{2}[/tex]

[tex]s=\frac{10+13+13}{2}[/tex]

s = 18

now,

[tex]A = \sqrt{18(18-10)(18-13)(18-13)}[/tex]

[tex]A =\sqrt{9(16)(5)(5)}[/tex]

A = 3x4x5

[tex]A =60cm^{2}[/tex]

Answer: -2 1/3

Step-by-step explanation:

Okay

Answer:

Sea star tuna

Step-by-step explanation:

Answer:

Your answer would be 1 chocolate chip cookie and 1.5 sugar cookie each.

Step-by-step explanation:

We know that Kim's sister ate two Chocolate Chip cookies, so: [tex]4-2 =2[/tex] and we also know that the rest of the cookies were shared by two people, so:

[tex]3[/tex] ÷ [tex]2 = 1.5[/tex] and [tex]2[/tex] ÷ [tex]2=1[/tex]

The probability of choosing a person who owns a dog or a cat will be;

⇒ 0.845

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

Number of peoples in survey = 110

And, The results showed that 72 owned a dog, 58 owned a cat, and 37 owned both a dog and a cat.

Now,

Since, Number of peoples in survey = 110

And, Number of peoples owns a dog or a cat = 72 + 58 - 37

                                                                      = 93

Thus, The probability of choosing a person who owns a dog or a cat is,

Probability = 93 / 110

                = 0.845

Therefore, The probability of choosing a person who owns a dog or a cat will be;

⇒ 0.845

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Answer:

Below

Step-by-step explanation:

base * height = volume

volume / base = height

divide 10x^2-9x+2    INTO   10x^3 + 21x^2 MINUS 25x +6

                                             ( you left out the minus sign in your post)

to get height = x+3

We know that 68.26% of data is between 580 and 620 using a normal distribution table.

A data set must (when graphed) follow a bell-shaped, symmetrical curve that is centered around the mean in order to be regarded as having a normal distribution.

Additionally, it must follow the empirical rule that shows the proportion of the data set that lies within (plus or minus) 1, 2, and 3 standard deviations of the mean.

So, we know that:

μ = 600

σ = 20

Use the equation:
z - score = x-μ/σ

580 in the data's Z-score:

= 580-600/20

= -20/20

= -1

While the data's z-score in 620:

= 620-600/20

= 20/20

= 1

Using a table of the normal distribution:

P(580 < z) = 0.1587

Also, P(620 > z) = 0.8413

As a result, the percent of the data that falls between 580 and 620 is given by: P(620 > z) - P(580 z).

= 0.8413  - 0.1587

= 0.6826

= 68.26 %

Therefore, we know that 68.26% of the data is between 580 and 620 using a normal distribution table.

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If the value of test statistic does not lie between -1.96 and +1.96 then, the difference would be significant and the null hypothesis will be rejected.

Using the significance levels as reported by forecast Xtm, we would check the difference of means between the two items.

The critical value of Z at 95% confidence level is 1.96.

Then we would calculate the Test statistic, viz, difference of means/ standard deviation.

Decision Rule:

If we find that the value of test statistic is more than the value of Z, i.e., the test statistic does not lie between -1.96 to +1.96, then, the difference would be significant and the null hypothesis must be rejected.

But, the other way round, if the difference between the two means is not significant at the 95% confidence level,  then the null hypothesis should not be rejected.

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Answer:

A) convex B) convex C) concave D) concave

Step-by-step explanation:

concave means going in on itself and convex is going outwards.

The domain is the set of all words in the English language that has a partial order relation and not a total order relation.

Given:

The domain is the set of all words in the English language (as defined by, say, Webster's dictionary.

Assume,

The domain is the set of all words in the English language (as defined by, say, Webster's dictionary). Word x is related to word y if x appears as a substring of y. x is a substring of y if all the letters in x appear in consecutive order somewhere in y. For example, "logical" is a substring of "topological" because the letters l-o-g-i-c-a-l appear consecutively in the order of the word "topological". However, "local" is not a substring of "topological" because the letters l-o are separated from c-a-l by the letters g and i.

Now, x is related to y if x is a substring of y.

Considering the following points through the example:

(A) Clearly, x is a substring of itself. Therefore, x is related to x and hence it is called reflexive.

(B) If x is related to y or y is related to x then x =y and it is called antisymmetric.

(C) If x is related to y and y is related to û then we can say that x is related to û (i.e. if x is a substring of y and y is a substring of û then x is also inscribed in û. Hence, we called it transitive.

Hence, the order is not the total order relation. It is a partial order relation.

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Answer: $0.14

Step-by-step explanation: All we have to do is divide $1.12 by 8 to get our answer, that being $0.14.

dx/dt = 4+3√3 in the case of the circle with radius 4 and the equation x²+y²=16.

The method of finding an implicit function's dependent variable's derivative by differentiating each term individually, symbolizing the derivative, and then solving the resulting expression for the symbol.

Without having to solve the provided equation for y, you may use the implicit differentiation technique to determine the derivative of y with respect to x.

Because we assume that y may be written as a function of x, the chain rule must always be applied when differentiating the function y.

So, the dx/dt will be:

The circle's equation is: x² + y² = 16

Assuming that x = 2, then:

2² + y²   = 16

y² = 12

y = ±√12

Hence, the first quadrant is positive:

y = √12

y = 2√3

When implicit differentiation is used, we get that:

2x dx/dt + 2y dy/dt = 16

If fracdydt = -3, as is the case, then

2(2) dx/dt - 12√3 = 16

4 dx/dt = 16 + 12√3

dx/dt = 16+12√3/4

dx/dt = 4+3√3

Therefore, dx/dt = 4+3√3 in the case of the circle with radius 4 and the equation x² + y² = 16.

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Answer: $17.16

Step-by-step explanation:

To find the cost of the untaxed money, you have to divide your sales tax amount by the tax rate.

1.16÷.0725=16

Once you have your untaxed amount, you then add your sales tax to your untaxed amount,

16+1.16=17.16

Answer:

28

Step-by-step explanation:

first, find out 12 / 3, which is 4

next multiply 4 by 7, which is 28

3:7 = 12:28

rhambus has four equal sides

so r+l=2r-4

r=5

b-3=r+l=6

b=9

Diamond adjacent angle complementation

So (x+2x+6)=180*

3x=174

x=58

All in all r=5 b=9 x=58 4b-6r=21-4=r+l=b-3=6

2x+6=122

this is the answer thank you when you have th problem you can tell me

1/2s, -4, 3/4s, 1/8 and -s³ are the terms and 1/2s and 3/4s are the like terms of the expression. 1/2s−4+3/4s+1/8−s³

An expression is combination of variables, numbers and operators.

Given expression is  1/2s−4+3/4s+1/8−s³

One by two times of s minus four plus three by four times of s plus one by eight minus s cube.

In the given expression minus, plus are the operators, s is the variable,

The expression has five terms

1/2s, -4, 3/4s, 1/8 and -s³ are the terms

Like terms contain the same variable which is raised to the same power.

In the given expression  1/2s and 3/4s are the like terms

Hence,  1/2s, -4, 3/4s, 1/8 and -s³ are the terms and 1/2s and 3/4s are the like terms of the expression. 1/2s−4+3/4s+1/8−s³

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Question 7

Using the secant-secant theorem,

[tex]4(x+4)=3(8) \\ \\ x+4=6 \\ \\ \boxed{x=2}[/tex]

Question 8

Using the intersecting chords theorem,

[tex]8(4x+2)=9(4x) \\ \\ 32x+16=36x \\ \\ 16=4x \\ \\ \boxed{x=4}[/tex]

Answer:

1/3, 2/3, 4/3, 8/3, 16/3, 32/3

or

1/3, 2/3, 1 1/3, 2 2/3, 5 1/3, 10 2/3

Step-by-step explanation:

The name of the property is transitive property if 3x= 4 and 4=z then 3 =z.

According to the transitive property, "if two quantities are equal to the third quantity, then we can claim that all quantities are equal to each other." The term transitive refers to the act of transferring something. If a, b, and c are three quantities and an is connected to b by some rule and b is related to c by the same rule, then a and c are related to each other by the same rule; this is known as the transitive property of equality.

The transitive property of equality states that if a = b and b = c for any values of a, b, and c, then a = c. In other words, because a and c are both equal to the same item (in this case, b), they must be equal as well.

Given,

3x=4 and 4=z then 3=z

Here a=3, b=4, c=z

The name of the property is transitive property

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