Des Moines and Cedar Rapids, IA 16.27 cm on the map with a scale of 2 cm = 15 mi

Answer:

There's no direct variation

Step-by-step explanation:

Required

Determine if there's a direct variation between the number and its position

I'll start by giving an illustration of how the triangle is represented using stars (*)

*

**

***

****

*****

Represent the line number with y and it's position with x

On line 1:

y = 1, x = 1

On line 2:

y = 2, x = 3

On line 3:

y = 3, x = 6

On line 4:

y = 4, x = 10

On line 5:

y = 5, x = 15

Note that, x is gotten by calculating the accumulated number of stars while y is the line number.

Direct variation is represented by

y = kx

Or

kx = y

Where k is the constant of variation

For line 1:

Substitute 1 for y and 1 for x

k * 1 = 1

k = 1

For line 2:

Substitute 2 for y and 3 for x

k * 3 = 2

Divide through by 3

k = ⅔

Note that the values of k in both computations differ.

This implies that there's no direct variation and there's no need to check further.

The equation model of the given statement in question is 6 + 7× x.

The model of equation is defined as the model of the given situation in the form of an equation using constants and variables.

In math, it deals with numbers of operations given according to the statements. The four major arithmetic operators are, addition, subtraction, multiplication, and division.

Given that;

6 is added to product of a number and 7

Now,

Let, the number multiplied by 7 be x,

=7*x

6 is added to the product;

= 6 + 7 × x

Therefore, the equation of model will be given as 6 + 7 × x;

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Answer:

A

Step-by-step explanation:

I honestly couldn't tell you how to do this, I don't understand it. I just took the test and got this question correct. The answer is A, (5-7)^2.

The vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y). When you compute f(1,2)−f(0,1), the result is ⟨1, 1⟩

Given the vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y), you are asked to compute f(1,2)−f(0,1).

Step 1: Evaluate f(1,2) and f(0,1).
f(1,2) = ⟨1(2), 1(1)⟩ = ⟨2, 1⟩
f(0,1) = ⟨1(1), 1(0)⟩ = ⟨1, 0⟩

Step 2: Compute f(1,2) - f(0,1).
To find the difference between two vectors, subtract the corresponding components of the vectors.
f(1,2) - f(0,1) = ⟨2, 1⟩ - ⟨1, 0⟩ = ⟨2-1, 1-0⟩ = ⟨1, 1⟩

Therefore, the vector field f(x,y)=⟨1 y, 1 x⟩ is the gradient of f(x,y). When you compute f(1,2)−f(0,1), the result is ⟨1, 1⟩.

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Answer:

18

Step-by-step explanation:

2/3 = 24

1/3 = 12

3/3=36

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

36÷2=18

The half of the number 36 is 18.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

2/3 of a number is 24,

let the number be a

So, 2/3 x a= 24

a = 72 /2

a= 36

and, 1/2 x36= 18

Hence, half of the number is 36.

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The difference between the mean of the sample and the mean of the population is 0.4. A larger sample size would provide a more reliable estimate of the population mean.

In the given population data, the mean can be calculated by summing up all the values and dividing by the total number of values. The sum of the population data is 63, and there are 20 values, so the mean is 63/20 = 3.15.

For the sample data, the mean is calculated in the same way. The sum of the sample data is 18, and there are 5 values, so the mean is 18/5 = 3.6.

To find the difference between the means, we subtract the mean of the population from the mean of the sample: 3.6 - 3.15 = 0.45. Therefore, the difference between the mean of the sample and the mean of the population is 0.45, which can be rounded to 0.4.

The difference of 0.4 indicates that, on average, the sample data has a higher mean than the population data. This suggests that the individuals in the sample spend more hours on homework during the week, on average, compared to the entire population. However, it's important to note that this conclusion is based on a random sample and may not necessarily represent the entire population accurately. A larger sample size would provide a more reliable estimate of the population mean.

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Answer:

answer D

Step-by-step explanation:

hello,

\(f(x)=-5^x-4 \ and \ g(x)=-3x-2\\(f-g)(x)=f(x)-g(x)=-5^x-4+3x+2=-5^x+3x-2\)

hope this helps

The value of function (f - g) (x) is,

⇒ 5ˣ + 3x - 2

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

Functions are,

⇒ f (x) = - 5ˣ - 4

⇒ g (x) = - 3x - 2

Hence, We get;

The value of function (f - g) (x) is,

⇒ (f - g) (x)

⇒ f (x) - g(x)

⇒ (5ˣ - 4) - (- 3x - 2)

⇒ 5ˣ - 4 + 3x + 2

⇒ 5ˣ + 3x - 2

Thus, The value of function (f - g) (x) is,

⇒ 5ˣ + 3x - 2

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Answer:

78

Step-by-step explanation:

the height of the rhombus is 12 inches

explanation: to find area you need to multiply langth times hight. 18×12=216

Answer:

h = 12 in.

Step-by-step explanation:

218 in.² ÷ 18 in.

12 in.

Answer:

345 miles per hour = 300 knots per hour

Step-by-step explanation:

k being knots

300 times 1.15

1.15 miles per hour for every 1 knot per hour

The probability of the interval -1.62 < z < 2.01 in a standard normal distribution is approximately 0.9262 or 92.62%.

In a standard normal distribution, the mean is 0 and the standard deviation is 1. The z-score represents the number of standard deviations a data point is from the mean. To find the probability of a specific interval, we calculate the area under the curve between the corresponding z-values.

Given the interval -1.62 < z < 2.01, we need to find the area under the standard normal curve between these two z-values. This can be done using a standard normal distribution table or by using a statistical software or calculator.

By looking up the z-values in the table or using software, we find the corresponding probabilities: P(z < -1.62) = 0.0526 and P(z < 2.01) = 0.9788.

To find the probability of the interval -1.62 < z < 2.01, we subtract the probability of the lower bound from the probability of the upper bound: P(-1.62 < z < 2.01) = P(z < 2.01) - P(z < -1.62 = 0.9788 - 0.0526 = 0.9262.

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Answer:

18

Brainliest, please!

Step-by-step explanation:

3^3 + 11 - 10 / 2 x 4 = w

27 + 11 - 10 / 2 x 4 = w

27 + 11 - 5 x 4 = w

27 + 11 - 20 = w

38 - 20 = w

w = 18

The mean number of calls for Sami is 2.25 calls per day and for Marta it is 2.5 calls per day

The person who made more calls per day is Marta.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

Sami = 27 / 12 = 2.25 calls per day

Marta = 45 / 18 = 2.5 calls per day

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Answer:please make this more clear’

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

3^3=27

27-3=24

Answer:

value of g(3) is 24

Step-by-step explanation:

3^3 which also equals 27 -3 which has a total of 24

Answer:

All elements of the dataset will be whole numbers

Step-by-step explanation:

Given

\(Rule \to Add\ 5\)

\(Start = n\) ---- whole number

Required

A true statement about the list

If the starting point is n, then the list elements are as follows:

\(n , n + 5, n + 10, n + 15,....\)

Also, since n is a whole number and 5 (the rule) which is added to the dataset is also a whole number;

Then the other elements of the dataset will be whole numbers

Answer:20474.7

Step-by-step explanation:

68249 divide by 10 then multiply by 3

Answer:

108 cm^2

Step-by-step explanation:

SA = PH + 2 * 1/2bh

SA = (3 + 4 + 5)(8) + 2 * (1/2) * 3 * 4

SA = 96 + 12

SA = 108

Answer: 108 cm^2

There are the four possible combinations of day and movie genre that Marty can choose from.

Marty has two options for the day of the week to go to the movie (Friday or Saturday) and two options for the movie genre (Comedy or Action).

Therefore, the list of all possible outcomes of one movie on one day is:

These are the four possible combinations of day and movie genre that Marty can choose from.

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The combined score for Jodi and Joe is 9-i

Two complex numbers, z₁ = a + bi and z₂ =c +di, can be added by adding the corresponding real and imaginary parts. That is:

z₁+z₂ = (a+c) + (b+d)i

Given: Jodi's score = 5−3i and Joe's score = 4 + 2i

Combined score = 5−3i + 4 + 2i

                           = (5+4) + (-3+2)i

                           = 9-i

Therefore, the combined score is 9-i

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Answer:

Step-by-step explanation:

The equation of an ellipse centered at the origin with height 8 units and width 16 units is (x² / 64) + (y² / 16) = 1.

To write the equation of an ellipse centered at the origin with height 8 units and width 16 units, we need to determine the semi-major axis (a) and the semi-minor axis (b). The width corresponds to the horizontal axis, and the height corresponds to the vertical axis.

In this case, the width is 16 units, so half of the width, or the semi-major axis, is 8 units. Thus, a = 8. The height is 8 units, so half of the height, or the semi-minor axis, is 4 units. Therefore, b = 4.

Now, we can use the standard equation for an ellipse centered at the origin:

(x² / a²) + (y² / b²) = 1

Plugging in the values of a and b, we get:

(x² / 8²) + (y² / 4²) = 1
(x² / 64) + (y² / 16) = 1

This is the equation of the ellipse centered at the origin with height 8 units and width 16 units.

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The forecast for the period of 4 is 152.5

The equation of the fitted trend is given as:

yt = 184e-.047t

At the 4th period, we have:

t = 4

This means that:

y4 = 184e-.047 * 4

Evaluate the product

y4 = 184e-0.188

Evaluate the exponent

y4 = 184 * 0.8286

Evaluate the product

y4 = 152.5

Hence, the forecast for the period of 4 is 152.5

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We can use a system of equations to solve this problem.

Taking x and y as the dimensions of the rectangle, we know that the sum of twice each dimension is the perimeter of the rectangle:

The area of the rectangle is the product of its dimensions:

Solve the first equation for y:

Replace y for this expression in the second equation:

We obtain a quadratic equation that we need to solve:

It means that x can be 8 or 12.

Use each value of x to find y:

It means that y can be 12 or 8.

According to the results, the dimensions of the rectangular lot are 8 and 12.

Answer:  a

Step-by-step explanation:

The derivative of f(x) = arccos(x^2) is: f'(x) = -2x / √(1-x^4)

The derivative of f(x) = arccos(x^2), we'll use the chain rule. The chain rule states that the derivative of a composite function is the derivative of the outer function times the derivative of the inner function. In this case, the outer function is arccos(u) and the inner function is u = x^2.

First, let's find the derivative of the outer function, arccos(u). The derivative of arccos(u) is -1/√(1-u^2). Next, we'll find the derivative of the inner function, x^2. The derivative of x^2 is 2x.

Now we'll apply the chain rule. We have:

f'(x) = (derivative of outer function) * (derivative of inner function)

f'(x) = (-1/√(1-u^2)) * (2x)

Since u = x^2, we'll substitute that back into our equation:

f'(x) = (-1/√(1-x^4)) * (2x)

So, the derivative of f(x) = arccos(x^2) is:

f'(x) = -2x / √(1-x^4)

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Answer:

-27

Step-by-step explanation:

rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q ≠ 0. In addition to all the fractions, the set of rational numbers includes all the integers, each of which can be written as a quotient with the integer as the numerator and 1 as the denominator.

The assumptions in each case of this statistics problem is given as follows:

ts < tc Do not reject H0

P value > α Do not reject H0

There is insufficient data to determine that the mean scores of the two groups of pupils differ.

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Answer:

a fraction in which the numerator is greater than the denominator, such as 5/4.

Step-by-step explanation:

The height to which the hollow sphere rolls up the incline is the same as the height to which the hollow cylinder rolls up, which is 1.0 m in this case.

To determine the height to which the hollow sphere rolls up the incline, we can use the principle of conservation of energy. The initial kinetic energy of both the hollow cylinder and hollow sphere is the same since they have the same mass and initial velocity. This kinetic energy is converted into potential energy as they roll up the incline. The potential energy gained by an object of mass m and height h is given by the formula:

PE = mgh

Since both the hollow cylinder and hollow sphere have the same mass, we can compare their potential energies. Let's assume the potential energy gained by the hollow cylinder is PE_cylinder and the potential energy gained by the hollow sphere is PE_sphere.

PE_cylinder = mgh_cylinder  ... (1)

PE_sphere = mgh_sphere  ... (2)

Since the initial velocity and mass are the same for both objects, we can equate their potential energies:

PE_cylinder = PE_sphere

mgh_cylinder = mgh_sphere

h_cylinder = h_sphere

Therefore, the height to which the hollow sphere rolls up the incline is the same as the height to which the hollow cylinder rolls up, which is 1.0 m in this case.

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