The expression -7yis a
Variable
constant
term

Answer:

hello..........

Step-by-step explanation:

answer is 8x+26

Answer:

Area= 24ft squared

Step-by-step explanation:

Area= 1/2 Bh

A= 1/2 9(6)

A= 1/2 48

A= 24ft

The correct statement is B. For all b, the equation Ax=b has a solution.

Since the columns of A are linearly independent, then the matrix A has full rank, and its column space is equal to the entire vector space in which it resides. This means that for any given vector b, we can find a linear combination of the columns of A that is equal to b, and therefore the equation Ax=b has a solution for all b.

Option A is incorrect, as there may be certain b vectors for which Ax=b has a solution.

Option C is incorrect, as the equation Ax=b may have a solution even when A has fewer columns than rows.

Option D is incorrect, as we can determine whether or not the equation Ax=b has a solution for all b by checking the rank of A.

Option E is incorrect, as the equation Ax=b may have a solution even when A has more columns than rows.

Option F is incorrect, as a square matrix may or may not have linearly independent columns, and therefore may or may not have a solution for all b.

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Answer:

The original price drops by 15%.

Step-by-step explanation:

What was the drop in price?  To answer that, subtract $21.25 from $25, which results in $3.75.

Now compare $3.75 to the original price, $25, through division, as follows:

   $3.75

-------------- * 100% = 15%

     $25

The original price drops by 15%.

Answer:

1. $1500

2. 15lb

Step-by-step explanation:

just subtract them

Answer:

i may be wrong but i thinks its proportional

Step-by-step explanation:

Answer:

(A) Exponential decay fnction

Step-by-step explanation:

As x increases , y decreases so it is exponential  decay or negative linear

If it is linear its of the form y = mx + c where m = slope and c = y-intercepts.

m is a constant if its linear

Check if the slope m is constant:

m = (20-40) / (1 - 0) = -20

m = (10-20)/ 1 = -10

m = (5 - 10)/ 1 = -5

- not linear.

So, it is exponential decay.

The fnction is y = 40(1/2)^x.

eg when x = 3 y = 40(1/2)^3 = 40 * 1/8 = 5.

True, perpendicular lines have slopes that are negative reciprocals of one another.

Perpendicular lines are lines that intersect at an angle of 90°. The slopes of two perpendicular lines are negative reciprocals of one another. This implies that if two lines have slopes m1 and m2 and are perpendicular, then the relationship between m1 and m2 is:

m1 × m2 = -1.

A reciprocal is a number that can be divided into one. In the case of a slope, the reciprocal is calculated by flipping the fraction upside down, thus changing the numerator and denominator. Therefore, for two perpendicular lines with slopes m1 and m2:

m2 = -1/m1.

Thus, the slopes of two perpendicular lines are negative reciprocals of one another.

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Answer:

(0,1)

Step-by-step explanation:

Cause you move down 4 units and up 4 units

You just went down 4 units and came back to where you start at.

Answer:

The correct answer would be 3693

Step-by-step explanation:

9 + 180 + 2,700 + 804

3693

1200 pages were numbered using a total of 3693 digits.

Total digits equal =  the digits in the 1 - digit page numbers + the 2 digit page numbers - digit page numbers  + 3 digit page numbers - digit page numbers.

Then simplify,

9 + 180 + 2,700 + 804

= 3693

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To find the domain and range of the function f(x) = 2x^2 + 18, we need to consider the possible values of x and the resulting values of f(x).

Domain:

The domain represents all possible values of x for which the function is defined. Since the function is a polynomial, it is defined for all real numbers.

Domain: (-infinity, infinity)

Range:

To determine the range, we consider the possible values of f(x) for all x in the domain.

The function f(x) = 2x^2 + 18 is a quadratic function with a positive leading coefficient (2), which means the parabola opens upward. The vertex of the parabola is the lowest point, and the range represents all the values of f(x) attained by the function.

Since the coefficient of the x^2 term is positive, the parabola has a minimum value. The minimum value occurs at the vertex, which is obtained when x = -b/2a for a quadratic function in the form ax^2 + bx + c.

In this case, a = 2 and b = 0, so the vertex is at x = -0/(2*2) = 0.

Substituting x = 0 into the function, we find f(0) = 2(0)^2 + 18 = 18.

Therefore, the vertex of the parabola is (0, 18), and the minimum value of f(x) is 18.

Since the parabola opens upward, the range will start from the minimum value (18) and extend to positive infinity.

Range: [18, infinity)

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ANSWERS

• Mean: 67.025

• Mode: 67

EXPLANATION

The mean is the sum of all the data, divided by the amount of data,

In this case, the amount of data is 80,

Hence, the mean of this data set is 67.025.

The mode is the value or values in the data set that occurs most frequently. It is easier to find if we order the data set,

The value 67 occurs 9 times, while the second most frequent value is 66, which occurs 7 times.

Hence, the mode of this data set is 67.

When a fish is attached to a vertical spring and slowly lowered to its equilibrium position, the spring stretches by an amount d, as it balances the force exerted by the spring with the force due to the fish's weight.

Here, a fish attached to a vertical spring. When a fish is attached to a vertical spring and slowly lowered to its equilibrium position, the spring will stretch by an amount d.
The equilibrium position is the point where the force exerted by the spring equals the force due to the fish's weight (gravitational force). In this scenario, the spring stretches until it reaches a balance between these forces. The amount by which the spring stretches is denoted as d.
To summarize, when a fish is attached to a vertical spring and slowly lowered to its equilibrium position, the spring stretches by an amount d, as it balances the force exerted by the spring with the force due to the fish's weight.

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The range of the interval where p-value 0.2514 lies is given by option a. 0.2001 to 5000.

To find the p-value for the test,

calculate the z-score and then use the z-table or a calculator to find the corresponding p-value.

The z-score is calculated using the formula,

z = (sample mean - population mean) / (population standard deviation / √(sample size))

here,

Sample mean (X) = 798 hours

Population mean (μ) = 800 hours

Population standard deviation (σ) = 20 hours

Sample size (n) = 36

Substituting these values into the formula, we have,

z = (798 - 800) / (20 /√(36))

= -2 / (20 / 6)

= -2 / 3

= -0.67

Now, the p-value associated with the z-score of -0.67  use a calculator.

Using a z-calculator,

The area to the left of -0.67 is approximately 0.2514.

However, since we are testing the hypothesis that the mean lifetime of light bulbs is less than 800 hours (one-tailed test),

The area to the left of -0.67.

The p-value is 0.2514.

Therefore, the interval contains the p-value is given by option a. 0.2001 to 5000

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To calculate and store the values of the N(0, 1) density curve in the interval [-3, 3] with an increment of 0.01, we can use a standard statistical software or programming language.

The resulting values can be stored in two arrays: one to hold the interval values (C1) and another to store the corresponding density curve values.

The N(0, 1) density curve represents the standard normal distribution, which is a bell-shaped curve with mean 0 and standard deviation 1. To calculate the density curve values, we can use the probability density function (PDF) of the standard normal distribution. In this case, we want to evaluate the PDF at each value in the interval [-3, 3] with an increment of 0.01.

Using a programming language like Python, we can utilize libraries such as SciPy or NumPy to perform this calculation. Here's an example code snippet to achieve this:

import numpy as np

from scipy.stats import norm

# Define the interval and increment

start = -3

end = 3

increment = 0.01

# Generate the interval values

C1 = np.arange(start, end + increment, increment)

# Calculate the density curve values using the PDF

density_curve = norm.pdf(C1, 0, 1)

# Store the values in arrays or variables for further use

# (C1 contains the interval values, and density_curve holds the corresponding density curve values)

In this code, we first define the interval and increment. Then, we use NumPy's 'arange' function to generate the interval values from the start to end, inclusive, with the given increment.

Next, we utilize SciPy's 'norm.pdf' function to calculate the density curve values at each point in the interval, using the parameters 0 (mean) and 1 (standard deviation) for the standard normal distribution.

Finally, we store the resulting values in the 'C1' array and the 'density_curve' array for further use.

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Yes, a transformation can involve the addition, subtraction, multiplication, or division of or by a constant. In fact, these operations are commonly used in mathematical transformations.

For example, adding a constant to each value in a set of data is a common way to shift the entire set of values up or down. Multiplying each value in a set of data by a constant is a common way to stretch or shrink the data. Subtraction and division can also be used in transformations, depending on the context. However, it is important to note that not all transformations involve these operations.

Some transformations may involve more complex operations, such as exponentiation or logarithmic transformations. So, the short answer is yes, but the long answer is that it depends on the specific transformation being used.

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The required answer is (f −1)'(-9) = -2√13/9.

To find (f −1)'(a), we first need to find the inverse function f −1(x).

Using the given function f(x) = x3 + 7x − 1, we can find the inverse function by following these steps:
1. Replace f(x) with y:
y = x3 + 7x − 1
The informal descriptions above of the real numbers are not sufficient for ensuring the correctness of proofs of theorems involving real numbers. The realization that a better definition was needed. Real numbers are completely characterized by their fundamental properties that can be summarized

2. Swap x and y:
x = y3 + 7y − 1
3. Solve for y:
0 = y3 + 7y − x + 1
We need to find the inverse function , Unfortunately, finding the inverse function for f(x) = x^3 + 7x - 1 is not possible algebraically due to the complexity of the function. A number is a mathematical entity that can be used to count, measure, or name things. The quotients or fractions of two integers are rational numbers.

Using the cubic formula, we can solve for y:
y = [(x - 4√13)/2]1/3 - [(x + 4√13)/2]1/3 - 7/3
Therefore, the inverse function is:
f −1(x) = [(x - 4√13)/2]1/3 - [(x + 4√13)/2]1/3 - 7/3
Now we can find (f −1)'(a) by plugging in a = -9:
(f −1)'(-9) = [(−9 - 4√13)/2](-2/3)(1/3) - [(−9 + 4√13)/2](-2/3)(1/3)
(f −1)'(-9) = [(−9 - 4√13)/2](-2/9) - [(−9 + 4√13)/2](-2/9)
(f −1)'(-9) = (4√13 - 9)/9 - (9 + 4√13)/9
(f −1)'(-9) = -2√13/9

Therefore, (f −1)'(-9) = -2√13/9.

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The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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Answer: The two functions are

f(x) = sqrt(64x^2+64)

g(x) = -sqrt(64x^2+64)

Graphing these together forms a hyperbola

To get these two functions, we need to solve for y

y^2 - 64x^2 = 64

y^2 = 64x^2 + 64

y = sqrt(64x^2 + 64) or y = -sqrt(64x^2 + 64)

The last line is similar to how x^2 = 9 has two solutions (x = plus or minus 3)

Answer:

Group B.

Step-by-step explanation:

Magna Carta is considered as one of the most document in the history of England. The document was signed by King John on June 15, 1215. The document was a result of barons who stood in oppose to the King and forced him to write this document restricting the right's of the Crown. There are total 63 clauses in the document.

The set of group that describes basic principes of the Magna Carta is Group B. The document bestows churches the rights to chose their leaders without any interference from the King. These rights, according to the document were not to be taken away from the church. This principle can be found in Clause 1 of the document. Another Clause that permits freeman and merchants of continue making their livelihood can be found in Clause 20. Clause 20 permits freeman and merchants to exercise their livelihood even after they were punished. And, Clause 54, of the document gave woman rights to make an appeal to arrest only if their husbands were murdered.

Therefore Group B is the correct answer.

The equation y = 3/4x describes the relationship

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a linear graph, and we have the following points on the graph

(x, y) = (0, 0) and (4, 3)

Because the line passes through the origin i.e. (0, 0), the equation that describes the relationship is then represented as

y = Y/X * x

Where

(X, Y) = (4, 3)

So, we have

y = 3/4x

Hence, the equation is y = 3/4x

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The expressioon correctly represents "six more than the product of five and a number, decreased by one" is 6 + 5 (n minus 1), the correct option is C.

An expression is a sentence with a minimum of two numbers and at least one math operation.

This math operation can be addition, subtraction, multiplication, and division.

Given

The expression correctly represents "six more than the product of five and a number, decreased by one".

The expressioon correctly represents "six more than the product of five and a number, decreased by one" is;

= 6 + 5 (n minus 1)

Hence, the expressioon correctly represents "six more than the product of five and a number, decreased by one" is 6 + 5 (n minus 1).

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The equation of the line perpendicular to x - 4y = 7 can be written as:

y = 4*x + b

Where b could be any real number.

Two lines are perpendicular if the product between the slopes of the lines is equal to -1.

Where a general line in the slope-intercept form is written as:

y  =a*x +b

And the given line is:

x - 4y = 7

Writing this in the slope-intercept form we will get:

-4y = -x - 7

y = (-1/4)*x + 7/4

So the slope is -1/4, then the slope of our line must be such that:

a*(-1/4) = -1

a = -4*-1 = 4

a =4

So the line perpendicular to the given one is:

y = 4*x + b

Where b can be any real number.

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Answer:

c

Step-by-step explanation:

The direct variation equation that relates x ounces to y grams is y = 28.3x, where y represents the number of grams and x represents the number of ounces.

In a direct variation, two variables are directly proportional to each other. In this case, we are relating ounces to grams. The given information states that one ounce is approximately 28.3 grams.

To write a direct variation equation, we can assign y as the number of grams and x as the number of ounces. Since the two variables are directly proportional, we can express the relationship as y = kx, where k is the constant of variation.

From the given information, we know that one ounce is approximately 28.3 grams. Therefore, the constant of variation is 28.3. Substituting this value into the equation, we get y = 28.3x.

This equation indicates that as the number of ounces (x) increases or decreases, the number of grams (y) will vary directly by a factor of 28.3. For example, if we have 2 ounces, we can find the number of grams by multiplying 2 by 28.3, resulting in 56.6 grams.

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Answer:

Step-by-step explanation:

Answer:

xwvy

Step-by-step explanation:

The money left is $13.25.

Given data,

Your parents handed you $50 to spend on movie tickets for your sister and brother. You paid $8.25 for your ticket, while your siblings paid $4.25.

To know how much money you bring home after spending an extra $20 on soda and popcorn,

Your entry cost is $8.25

$4.25 for the brother's ticket

Sister's entry fee is $4.25.

$20 for soda and popcorn.

Total = 8.25 + 4.25 + 4.25 + 20.00 = $36.75

You received $50 from your parents.

You have spent $36.75.

Balance: 50.00 - 36.75 = $13.25

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