Arianna went running for 0.75 hours and ran 5.55 miles. What was her speed, in miles per hour, if Arianna
ran at the same speed for her whole run?

Analyzing a function's graph will reveal if it is linear or not. When a linear function is graphed, it produces a straight line. In contrast to a linear function, a nonlinear function has some kind of curve.

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This is an exercise in applying the power rule, which says

\(f(x) = x^n \implies f'(x) = nx^{n-1}\)

Starting with

\(7g^8 + 2g^7 + 4g^6 + 3g^5 + g^2 + 5g + 276.3\)

we have

• first derivative

\(56g^7 + 14g^6 + 24g^5 + 15g^4 + 2g + 5\)

• second derivative

\(392g^6 + 84g^5 + 120g^4 + 60g^3 + 2\)

• third derivative

\(2352g^5 + 420g^4 + 480g^3 + 180g^2\)

• fourth derivative

\(11760g^4 + 1680g^3 + 1440g^2 + 360g\)

• fifth derivative

\(\boxed{47040g^3 + 5040g^2 + 2880g + 360}\)

The volume of the cone is the amount of space in it

The volume of the cone is 264.3 cubic inches

The given parameters are:

The volume of a cone is then calculated as:

V = 1/3π(d/2)²h

This gives:

V = 1/3 * 3/14 * (10.1/2)² * 9.9

Evaluate the product

V = 264.256905

Approximate

V = 264.3

Hence, the volume of the cone is 264.3 cubic inches

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Answer:

$15000

Step-by-step explanation:

80/100 ×18600 = 14880

= $15000 (nearest thousand)

No, R is not transitive.
Explanation: A relation R on a set X is considered transitive if, for every pair of elements (x, y) and (y, z) in R, there exists a pair (x, z) in R. In this case, X = {a, b, c, d}, and R = {(a, b), (b, c), (c, a)}.

To show that R is not transitive, we need to find pairs that violate the transitivity condition. We have the pairs (a, b) and (b, c) in R, but we don't have the pair (a, c) in R. Therefore, R is not transitive.

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Answer:

10x20+10x6=260

Step-by-step explanation:

Answer:

260 cm²

Step-by-step explanation:

Area of the rectangle

= l × w

= 20 × 10

= 200 cm²

Area of the triangle

= ½bh

= ½ × 20 × 6

= ½ × 120

= 60 cm²

Area of the total figure

= Area of the rectangle + Area of the triangle

= 200 cm² + 60 cm²

= 260 cm²

________

Hope it helps ⚜

\(11x - 3 + 4x - 3 = 90 \\ 11x + 4 x = 90 \\ 15x = 90 \\ x = 6\)

In the given expression  14 - 0.6t, variable t represents the number of gallons of fuel used by the car each day.

For teh stated question-

In the given expression  14 - 0.6t, t represents the number of gallons of fuel used by the car each day.

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Answer:

d)

Step-by-step explanation:

As it always n X n, from first row, there is 1 or 1 X 1, the second row is 4 which is 2 X 2, then keep going, so for nth row, there will be n X n cube.

If it is helpful, plz give me Brainliest.

The polynomial function which represents the number of vehicles ( x ) that go through the drive-thru each hour f ( x ) is given by the function f ( x ) , where f ( x ) = 0.4048x² + 16.9762x + 2.1429

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Daniel keeps track of the number of vehicles that go through the drive-thru each hour

Let the number of hours be x

Let the total number of vehicles that passes be y

Now , the values of x = { 1 , 2 , 3 , 4 , 5 , 6 , 7 }

The values of y = f ( x ) = { 18 , 38 , 60 , 78 , 93 , 117 , 143 }

Let the polynomial equation be represented as f ( x )

Now , the value of f ( x ) is calculated from the curve fitting model of hyperbola , where

f ( x ) = 0.4048x² + 16.9762x + 2.1429

when x = 3

f ( 1 ) = 0.4048 ( 3 )² + 16.9762 ( 3 ) + 2.1429

On simplifying , we get

f ( 1 ) = 3.6432 + 50.9286  + 2.1429

f ( 1 ) ≈ 60

Hence , the polynomial equation is f ( x ) = 0.4048x² + 16.9762x + 2.1429

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Answer:

Step-by-step explanation:

Where are the answer choices?

Still, it's possible to help you without your having shared those choices.

The "difference quotient" is defined as:

 f(x + h) - f(x)

--------------------

           h

where h represents an incremental (small) change in x.

Here f(x) = 3 - log x, and so f(x + h) = 3 - log (x + h).

Therefore the difference quotient is:

{3 - log (x + h)} - {3 - log x}

-------------------------------------

                    h

This can be simplified.  In the numerator we have 3 - 3, so the numerator simplifies to -log (x + h) + log x

and the difference quotient is

-log ( x + h) + log x

---------------------------

              h

This can be rewritten as

log x - log (x + h)                                x                                  x

--------------------------- , or (1/h)*log ------------ , or  (1/h) log { ----------- }

              h                                       (x + h)                            x + h          

Answer:

B

Step-by-step explanation:

I guessed and got it right.

Answer:

D

Step-by-step explanation:

Answer:

Nine

Step-by-step explanation:

please mark me brainlist

The value of the inequality: 6 > - 3x is 1. x < -2

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

From the information, 6 > - 3x. This will be:

6 > - 3x.

Divide

x < 6 / -3

x < -2

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Complete question

Solve the inequality: 6 > - 3x.

1. x < -2

2. x > -2

3. x < 12

4. x > 12

The correct answer is option (a) n < 27. By dividing both sides of the inequality by -3, we get n > -27.

To solve the inequality -3n < 81, we divide both sides by -3. Remember that when dividing by a negative number, the direction of the inequality sign changes. Dividing both sides by -3 gives us n > -27. So, the correct answer is option (d) n > -27.

The reasoning behind this is that dividing by -3 reverses the inequality sign, which means that the less than ("<") sign becomes a greater than (">") sign.

Option (a) n < 27 is incorrect because dividing by -3 changes the direction of the inequality. Option (b) is stated to be wrong. Option (c) n = 27 is incorrect because the original inequality is strict ("<") and not an equality ("=").

Therefore, By dividing both sides of -3n < 81 by -3, we get n > -27. Therefore, the correct answer is option (a) n < 27.

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Answer:

The function stated by Tucker is incorrect.

V(t) = 4600(0.8)^t

Step-by-step explanation:

Given the function :

V(t)=4,600(0.4)2t

The initial value of equipment = 4600

Decay rate = 40% of very 2 years

The value of equipment t years after purchase

The exponential decat function goes thus :

V(t) = Initial value * (1 - decay rate)^t

The Decay rate per year = 40% /2 = 20% = 0.2

V(t) = 4600(1 - 0.2)^t

V(t) = 4600(0.8)^t

After approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

The value of shares t years after their floatation on the stock market, is modelled by V = 10e0.09t

The initial value of shares = V when t = 0. So, putting t = 0 in V = 10e0.09t,

we get

V = 10e0.09 × 0= 10e0 = 10 × 1 = 10 million dollars.

The values after 5 years, 10 years and 12 years, respectively are:

For t = 5, V = 10e0.09 × 5 ≈ 19.65 million dollarsFor t = 10, V = 10e0.09 × 10 ≈ 38.43 million dollarsFor t = 12, V = 10e0.09 × 12 ≈ 47.43 million dollars

The total revenue (TR) in t years' time is modelled as TR = 10e−0.19t (in million dollars)

The current revenue is the total revenue when t = 0.

So, putting t = 0 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 0= 10e0= 10 million dollars

Revenue in 5 years' time is TR when t = 5.

So, putting t = 5 in TR = 10e−0.19t, we get

TR = 10e−0.19 × 5≈ 4.35 million dollars

To find when the revenue of this firm is going to drop to $1 million, we need to solve the equation TR = 1.

Substituting TR = 1 in TR = 10e−0.19t, we get1 = 10e−0.19t⟹ e−0.19t= 0.1

Taking natural logarithm on both sides, we get−0.19t = ln 0.1 = −2.303

Therefore, t = 2.303 ÷ 0.19 ≈ 12.13 years.

So, after approximately 12.13 years, the revenue of this firm is going to drop to $1 million.

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A) the 90% Confidence Interval is (2.424, 7.576). B)  the 95% Confidence Interval is (2.24, 7.76).
C)  the 99% Confidence Interval is (1.16, 8.84). D) When sample size is increased, the width of the confidence interval decreases, if all the other factors remain constant.

The given problem is based on normal distribution of data and confidence intervals. A confidence interval provides a range of values for an unknown population parameter; the interval has an associated level of confidence that the true parameter value falls in the interval. The confidence level gives the probability that the interval produced will contain the true parameter of interest. Below are the answers for the given questions.

a. 90% Confidence Interval:
Here, the given data is: 4, 6, 3, 5, 9, and 3.  
To calculate the 90% Confidence Interval, we need to first calculate the sample mean and sample standard deviation of the given data.

Sample mean,

x¯ = (4 + 6 + 3 + 5 + 9 + 3) / 6 = 30 / 6 = 5

Sample standard deviation,

s = √[∑(xi - x¯)² / (n - 1)]
= √[(4 - 5)² + (6 - 5)² + (3 - 5)² + (5 - 5)² + (9 - 5)² + (3 - 5)² / (6 - 1)]
= √[14.0]
= 3.74166

Now, the Confidence Interval can be calculated as,

CI = x¯ ± Z_(α/2) (s / √n)
Where,
α = 1 - confidence level = 1 - 0.90 = 0.10
Z_(α/2) = Z_0.05 = 1.645   (From Z table)

CI = 5 ± 1.645 (3.74166 / √6)
CI = 5 ± 2.576
CI = (2.424, 7.576)

Therefore, the 90% Confidence Interval is (2.424, 7.576).

b. 95% Confidence Interval:
For a 95% Confidence Interval, α = 1 - 0.95 = 0.05 and Z_(α/2) = Z_0.025 = 1.96

CI = x¯ ± Z_(α/2) (s / √n)
CI = 5 ± 1.96 (3.74166 / √6)
CI = 5 ± 2.76
CI = (2.24, 7.76)

Therefore, the 95% Confidence Interval is (2.24, 7.76).

c. 99% Confidence Interval:
For a 99% Confidence Interval, α = 1 - 0.99 = 0.01 and Z_(α/2) = Z_0.005 = 2.58

CI = x¯ ± Z_(α/2) (s / √n)
CI = 5 ± 2.58 (3.74166 / √6)
CI = 5 ± 3.84
CI = (1.16, 8.84)

Therefore, the 99% Confidence Interval is (1.16, 8.84).

d. The effect of increasing the sample size on the width of the confidence intervals:
When sample size is increased, the width of the confidence interval decreases, if all the other factors remain constant. Here, sample mean and sample standard deviation are kept constant. Therefore, with larger sample sizes, the confidence intervals will become narrower.

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Answer:

Kevin can make 35 pillows.

Step-by-step explanation:

I assume that your question would be, "How many pillows can Kevin make?" If this is not the answer that you were looking for, you need to input your question.

Answer: Use the binomial formula to find the coefficient of the t^3q^14 term in the expansion of (3t-q)^17.

Step-by-step explanation: To find the minimum amount of money the family must earn annually, we need to add up all the costs in the budget. We can do this with the following equation:

b = 800 + 600 + 360 + 540 + 750 + 580

where b is the minimum amount of money the family must earn annually.

Answer:

other dude didnt understand the assighment .-.

Step-by-step explanation:

B = 3,630 x 12

Answer The Normal amount of money needed per month is a total of 3,630 and considering there are 12 months in a year all you need to do is multiply the total with the amount of months in a year^^

Answer:

in still water, a boat averages 8 miles per hour. It takes the same amount of time to travel 30 miles downstream, with the current, as 18 miles upstream, against the current. What is the rate of the water's current.

Step-by-step explanation:

Let c=speed of current in mph

c+8=speed of boat downstream in mph

c-8=speed of boat upstream in mph

Travel time= distance/speed

30/8+c=18/8-c

240-30c=144+18c

48c=96

c=2 mph

ans

rate of water's current = 2 mph

Answer:

175 students passed in English only.

Step-by-step explanation:

To find the number of students who passed in English only, we need to subtract the number of students who passed in both subjects from the total number of students who passed in English.

Number of students passed in English only = Number of students passed in English - Number of students passed in both subjects

Number of students passed in English only = 0.6x - 35

Now, let's solve for the value of x.

Since we know that 0.6x represents the number of students passed in English, and 0.5x represents the number of students passed in mathematics, we can set up the following equation:

0.6x - 35 = 0.5x

0.6x - 0.5x = 35

0.1x = 35

x = 35 / 0.1

x = 350

Therefore, the total number of examinees is 350.

Now, substitute the value of x back into the equation for the number of students passed in English only:

Number of students passed in English only = 0.6x - 35

Number of students passed in English only = 0.6 * 350 - 35

Number of students passed in English only = 210 - 35

Number of students passed in English only = 175

Hence, 175 students passed in English only.

Solving equations with variables on both sides involves moving all variable terms to one side of the equation and all constant terms to the other side. The goal is to isolate the variable and find its value.

This can be done by using inverse operations such as addition, subtraction, multiplication, and division to simplify the equation until the variable is alone on one side.

To solve an equation with variables on both sides, start by using the distributive property to simplify any expressions on either side of the equation.

Then, combine like terms on each side of the equation. Next, move all variable terms to one side of the equation and all constant terms to the other side by adding or subtracting terms from both sides.

Finally, simplify the resulting expression and solve for the variable.

It is important to check your solution by plugging it back into the original equation to ensure that it is valid.

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Answer:

its a right ray

Step-by-step explanation:

Answer:

The ray is called EF. You should write it like this:

The value of y = -651. To find the value of y when x = -10 and z = 20, given that y varies jointly as x and z and y = 179 when x = -5 and z = -11, follow these steps:

Step 1: Understand that "y varies jointly as x and z" means y = kxz, where k is the constant of variation.

Step 2: Use the given values (y = 179, x = -5, z = -11) to find k. Substitute these values into the equation:
179 = k(-5)(-11)

Step 3: Solve for k:
179 = 55k
k = 179 / 55
k = 3.2545 (rounded to the nearest hundredth)

Step 4: Use the found value of k (3.2545) and the new values of x (-10) and z (20) to find the new value of y:
y = (3.2545) (-10)(20)
Step 5: Calculate y:
y = -651
So, when x = -10 and z = 20, y = -651.

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Answer:

2. bob was -1 yrs old

Step-by-step explanation:

1-2=-1

The following specific topics are covered in 8th grade math:

-Mathematical operations

-Resolving equations with a single unknown

- One-variable linear equations

-Expressions in algebra

- square roots and squares

- Geometry

- Cube and cube root

-Data management

These are the headings that were previously mentioned. These subjects need to be investigated in depth going forward.

Algebraic expressions: What are they?

Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. The fundamentals of algebra taught us how to express an unknown value using letters like x, y, and z. These letters are referred to here as variables.

What components make up one-variable linear equations?

One-variable linear equation is represented by the following equation:

A and B are two integers, and X is a variable, hence ax+b = 0. There is just one answer to this equation.

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Answer:

20%

Step-by-step explanation:

To find the probability that the mean salary of a person selected at random from Acme Corporation is less than 61,000, we can use the Z-score formula.

First, we need to calculate the Z-score, which measures the number of standard deviations a value is away from the mean. The formula for the Z-score is:

Z = (X - μ) / (σ / √n)

Where:
- X is the value we are interested in (in this case, $61,000)
- μ is the population mean annual salary for Acme Corporation ($63,500)
- σ is the population standard deviation (unknown in this case)
- n is the sample size (unknown in this case)

Since we don't have the population standard deviation or sample size, we cannot calculate the exact Z-score. Therefore, we cannot find the exact probability.

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Based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.

The probability of a person selected at random having a salary less than $61,000 can be determined using the z-score and the standard normal distribution.

To calculate the z-score, we need to know the population standard deviation. Since it is not provided, we cannot calculate the exact probability. However, we can use the assumption that the population standard deviation is the same as the sample standard deviation.

Let's assume the sample standard deviation is $5,000.

First, we calculate the z-score:
    \(z = (x - \mu) / (\sigma / \sqrt n)\)
=> z = (61000 - 63500) / (5000 / √1)
=> z = -2500 / 5000
=> z = -0.5

Next, we find the corresponding area under the standard normal curve using a z-table or a calculator. The area to the left of -0.5 is approximately 0.3085.

Therefore, the probability that a person selected at random will have a salary less than $61,000 is approximately 0.3085 or 30.85%.

In conclusion, based on the assumption of a sample standard deviation of $5,000, the probability that the mean salary of a person selected at random will be less than $61,000 is approximately 30.85%.

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The expression n⁸ is equivalent to the exponent expression n⁸ = (n⁴)²

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Given the equation:

n⁸

Simplifying the equation using the Power Rule for Exponents:

n⁸ = (n⁴)²

The expression n⁸ is equivalent to the exponent expression n⁸ = (n⁴)²

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Although increasing the sample size can improve the accuracy of the estimate, there are some problems that may arise with very large samples.

The following are the problems that can occur:

Difficulty in obtaining a very large sample: It may be difficult to obtain a large sample that is representative of the population and has a low bias.

Cost of sampling: Collecting data from a very large sample can be time-consuming and expensive.

None of these: This is not a problem that can arise with very large samples.

Increase in standard error: As the sample size increases, the standard error of the estimate tends to decrease, but after a certain point, increasing the sample size further may not lead to a significant reduction in the standard error, and may even increase it due to other factors such as measurement errors or non-random sampling. This is called the "law of diminishing returns".

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