Explain using the change of base formula and evaluating the change of base formula

The indicative of an inverse relationship between x and y is a negative correlation coefficient. When the correlation coefficient between two variables is negative, it means that as one variable (x) increases, the other variable (y) decreases. This is also known as an inverse relationship or a negative association.

A negative p-value for the correlation coefficient or a negative f statistic does not necessarily indicate an inverse relationship between x and y. A negative p-value for the correlation coefficient simply means that the observed correlation is unlikely to be due to chance, while a negative f statistic indicates that the model is not a good fit for the data.

If the correlation coefficient is negative, then it provides clear evidence of an inverse relationship between x and y.

A negative correlation coefficient is the best indicator of an inverse relationship between x and y, and it is important to interpret statistical measures carefully to determine the nature of the relationship between variables.

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The value of the expression is 74.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this expression, we need to follow the order of operations, which is a set of rules that dictate the order in which mathematical operations should be performed. The order of operations is: Parentheses

Exponents and Multiplication and Division (performed left to right)

Addition and Subtraction (performed left to right)

Using this order, we can evaluate the expression as follows:

10 × 5 + 16+ (5 + 30 ÷ 10)

= 50 + 16 + (5 + 3)

= 50 + 16 + 8

= 74

Therefore, the value of the expression is 74.

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If the demand curve indeed shows that 500 units are demanded at the $3.99 price point, then that is the quantity of Cajun spice mix buyers are willing to purchase at that price.

Hi! Based on the information provided and the terms mentioned, I'll try to address your question:

When analyzing a graph with supply and demand curves for a product like Leroy's Cajun spice mix, the interaction between these curves can help determine the market outcome at a specific price point. If Leroy sets the price at $3.99, we can look at how supply and demand react at that price level.

If the demand curve is above the supply curve at the $3.99 price point, this means that the quantity demanded is higher than the quantity supplied. In this case, the demand will exceed the supply, leading to a shortage of Cajun spice mix in the market. Buyers may be willing to purchase more than what Leroy can supply at this price.

On the other hand, if the supply curve is above the demand curve at the $3.99 price point, this indicates that the quantity supplied is greater than the quantity demanded. In this scenario, the supply will exceed the demand, resulting in a surplus of Cajun spice mix.

Leroy might have to lower the price to encourage more buyers to purchase his product and clear the excess inventory.

Regarding the term "Five hundred spice mixes will be demanded," this specific number can't be confirmed without more details about the graph. However,

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Answer:

48 ft^3

Step-by-step explanation:

Volume = (length x width x height)/3

V = (b times b times h)/3

V = (4 x 4 x 9)/3

V = 144/3

V = 48

(units: cubic feet --> 48 ft^3)

The angles 45 degrees, 30 degrees, and 105 degrees do not form a valid triangle.

In a triangle, the sum of the angles must be 180 degrees. However, in this case, the sum of the three angles is:

45 + 30 + 105 = 180

This tells us that these three angles can be arranged in a straight line, but they cannot form a triangle.

In a valid triangle, the sum of the two smaller angles must be greater than the measure of the largest angle. However, in this case, the sum of the two smaller angles (30 degrees and 45 degrees) is only 75 degrees, which is less than the measure of the largest angle (105 degrees).

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Answer:

If m < 9, then 6m - 4 is negative. Therefore, |6m - 4| is equal to -(6m - 4) or -6m + 4. Thus, the expression without absolute value is -6m + 4.

180 represents the price of the goal, 15x represents the total price of the soccer balls

The expression consists of ONE CONSTANT 180 and another VARIABLE EXPRESSION 15x.

Since the coach purchased ONE GOAL, this corresponds to the CONSTANT, which is 180. 180 is the price of the goal.

Since the coach purchased several soccer balls, but doesn't say how many, it is the variable part, 15x, where

either 15 is the price of the ball and x is the number of balls, OR

15 is the number of balls and x is the price of each

180 represents the price of the goal

15x represents the total price of the soccer balls

The complete question is -

A soccer coach purchased one goal and some soccer balls for the team. The expression 180 + 15x represents the cost before tax. What do the different parts of the expression model? Drag the parts of the expression into the boxes to match each description.

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The determinant of the given matrix is -51.

A square matrix's related scalar value is known as a determinant. It is calculated based on the matrix's components using a specified formula. The determinant has several uses in linear algebra, including the resolution of systems of linear equations, the discovery of eigenvalues and eigenvectors, and the assessment of invertibility. If and only if a matrix's determinant is nonzero, the matrix is invertible. The determinant is also employed in other branches of mathematics, such as differential geometry and the determination of the volume of parallelepipeds.

The determinant of the matrix is calculated using the formula:

D = a(ei - fh) - b(di - fg) + c(dh - eg)

Substituting the values we have:

3(-20 - 5(-1)) - (-1)(20 - 54) + 4(2*(-1) - (-2)*(-1)) = -51

Hence, the determinant of the given matrix is -51.

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A cylinder with a radius of 3 ft and a height of 4 ft has the same volume as one with a radius of 4 ft and a height of 9 ft.

We can determine how much interior room a cylinder has by measuring its volume. The volume would be the same as how much material would fill the full can if you had one.

Volume of cylinder = π*r²*h

r is the radius and h is the height.

For given cylinder:

r = 4 ft and h = 9 ft

Volume of given cylinder = π*4²*9

Volume of given cylinder = 144π cu. ft.

Now, from the options:

As, its is clear from  formula of cylinder that there is a square of radius.

Thus,

take radius r = 3 ft  such that r² = 9 ft and height h = 4 ft.

These are the same dimensions as the given cylinder.

Thus, a cylinder with a radius of 3 ft and a height of 4 ft has the same volume as one with a radius of 4 ft and a height of 9 ft.

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Based on the above, the equivalent equations are 4x = 15 and 4x - 15 = 0.Hence options A and C are correct.

To determine which equations are equivalent to 3x + 5 = 20 - x, we need to simplify and manipulate the original equation until it has the same form as the other equations. Here's how we can do it:

3x + 5 = 20 - x

Add x to both sides:

4x + 5 = 20

Subtract 5 from both sides:

4x = 15

So the equation 4x = 15 is equivalent to 3x + 5 = 20 - x.

Therefore, the other equations are not equivalent:

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Select all of the equations that are equivalent to 3x + 5 = 20 - x.

4x = 15

2x = 25

4x  - 15 = 0

-4x+20 = -5

x - 20 = 5 + 3x

Step-by-step explanation & Answer

C = 2pir = 2pi(13) = 26pi = 81.68"

Which we can easily find.

But that is for 1 rotation in the question it says 5!

So multiply it by 5

81.68 x 5 = 408.4

Thus the answer to your problem is, 408.4

Answer:408.4

Step-by-step explanation:

The calculated area of the wall art is 474 square inches

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

The composite figure

The area of the figure is the sum of the individual areas

So, we have

Area = 21 * 9 + 9 * 19 + 6 * 19

So, we have

Area = 474

Hence, the area is 474 square inches

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The type of sampling technique described is stratified random sampling.

In stratified random sampling, the population is first divided into homogeneous subgroups or strata based on some criteria, such as age, gender, income, or education level. In this case, the population was grouped according to age. Then, a random sample is selected from each stratum.

By doing so, the sample represents the entire population better than simple random sampling, as each subgroup is represented proportionally to its size in the population. This technique ensures that there is less variation within each subgroup, which can result in more precise estimates of the population parameters.

In summary, stratified random sampling is a type of probability sampling technique where the population is divided into subgroups, and a random sample is selected from each subgroup.

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The system of equations that represent the question are:

6a + 8p = 6.54

7a + 5p = 5.68

(option D)

A linear equation is an equation that has a single variable that is raised to the power of one. The general form of a linear equation is y = mx + c

Where:

The form of the equations in this question are:

(number of apples bought x price of one apple) + (price of one pear x number of pears bought) = total cost of the apples and pears

6a + 8p = 6.54

7a + 5p = 5.68

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The system of equations that represent the question are: 6a + 8p = 6.54 and 7a + 5p = 5.68. Option D

A linear equation is an equation with one variable raised to the power of one. It can be written in the form y = mx + c, where m represents the slope and c represents the y-intercept.

The given equations are in the form of:

6a + 8p = 6.54

7a + 5p = 5.68

These equations represent the total cost of buying apples and pears based on their respective prices per unit. 'a' represents the number of apples bought, 'p' represents the number of pears bought.

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Answer is 10

Explaination:

10x3=30

30-4=26

Perimeter = length times 2 + width times 2

26 x 2= 52

10 x 2= 20

52+20=72

Please mark brainliest

Answer:To divide -5 by 1,000, we can use a calculator or perform long division.

Using a calculator, we get -0.005 as the result.

To perform long division, we can follow these steps:

1. Write -5 as the dividend and 1,000 as the divisor.

2. Place the divisor outside the long division bracket and the dividend inside the bracket.

3. Divide the first digit of the dividend by the divisor. In this case, 1,000 does not go into -5, so we write 0 as the first digit of the quotient.

4. Bring down the next digit of the dividend (which is 0) and place it next to the 0 in the quotient.

5. Divide 1,000 into 0, which gives 0 as the next digit of the quotient.

6. Continue bringing down digits from the dividend and dividing until you have enough decimal places in the quotient. In this case, we can stop after two decimal places because we know the answer is not 200.

7. The final result is -0.005.

Therefore, -5 divided by 1,000 is equal to -0.005.

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The heat in the office is on whenever the temperature drops below 15C. Therefore, all temperatures less than 15C will turn the heat on.

The set of all temperatures that will turn the heat on can be represented mathematically using inequalities.

Let T be the temperature in Celsius.

The inequality T < 15 represents all temperatures that are less than 15C. Therefore, the set of all temperatures that will turn the heat on is given by:

{ T | T < 15 }

This set can be read as "the set of all T such that T is less than 15." This means that any temperature below 15C will turn the heat on.

For example, if the temperature is 14C, then the heat will be on because 14C is less than 15C. If the temperature is 10C, then the heat will also be on because 10C is less than 15C. However, if the temperature is 15C or higher, then the heat will not be on because 15C is not less than 15C.

In summary, the heat in the office will be on whenever the temperature drops below 15C. The set of all temperatures that will turn the heat on is { T | T < 15 }, which represents all temperatures less than 15C.

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The total price Briana will pay for the sweater after discount is $34.2.

What is discount?

Discount is the state of having a bond's price lower than its face value. The difference between the purchase price and the item's par value is the discount.

Discounts are different types of price reductions or deductions from a product's cost. It is frequently employed in consumer transactions when consumers receive discounts on a range of goods. The % discount rate is provided.

Here the Sale price of sweater on sale = $45

Discount = 30%

Sale tax rate = 6%

If cost is 100% , after 30% discount and 6% sale tax rate then ,

cost price = 100%- 30%+6% = 70%+6%=76%

Now cost price = 76% of 45

=> 76%×45

=> 76/100 ×45

=>$34.2

Hence the  total price Briana will pay for the sweater is $34.2.

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Answer:

Travis can buy a new bed for Rusty and 5 packages of dog treats for a total cost of $75 with a shipping fee of $15.

Step-by-step explanation:

Let x be the number of packages of dog treats Travis wants to buy.

The cost of the dog bed is $45.

The cost of the dog treats is $6 per package.

The shipping fee is $15 for orders less than $90.

To find out how many packages of dog treats Travis can buy without exceeding the $15 shipping fee, we can set up an inequality:

6x + 45 + 15 ≤ 90

Simplifying and solving for x, we get:

6x ≤ 30

x ≤ 5

Therefore, Travis can buy up to 5 packages of dog treats without exceeding the $15 shipping fee. If he buys 5 packages of dog treats, the total cost of his order will be:

Total cost = Cost of dog bed + Cost of 5 packages of dog treats + Shipping fee

Total cost = $45 + ($6 * 5) + $15

Total cost = $75

So, Travis can buy a new bed for Rusty and 5 packages of dog treats for a total cost of $75 with a shipping fee of $15.

Multiple regression is a technique which allows researchers to explain a criterion variable through an accurate

combination of two or more predictor variables.

Regression is a statistical measure used in finance, investing and other disciplines that attempts to determine the

strength of the relationship between one dependent variable (usually denoted by Y) and a series of other changing

variables (known as independent variables).

Multiple regression is a statistical method used to analyze the relationship between a dependent variable and multiple

independent variables.

It is often used to estimate the effect of a single independent variable on a dependent variable while controlling for

other independent variables.

Multiple regression is a technique that allows researchers to explain a criterion variable through an accurate

combination of two or more predictor variables.

In summary, multiple regression is a technique that allows researchers to explain a criterion variable through an

accurate combination of two or more predictor variables.

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Answer:

8218.406
Go through the process yourself to make sure my answer is correct

Step-by-step explanation:

The best way to solve these problems is by breaking them up into the difference shapes you see

A. Semi-sphere

The volume of a sphere is [tex]\frac{4}{3} \pi r^3[/tex]. Since we have a semi-sphere, we divide this by 2 and get:

[tex]V=\frac{4}{6} \pi r^3\\\\V= \frac{4}{6} \pi (12)^3\\\\V=3619.115[/tex]

B. Cone

The volume of a cone is [tex]\pi r^2\frac{h}{3}[/tex]

[tex]V = \pi (12)^2\frac{30.5}{3}\\V = 4599.292[/tex]

C. Add

Add these two values:

3619.115 + 4599.292 = 8218.406

Answer:

The range of standard IQR (Interquartile Range) numbers is option b) 0-15. The correct option is B).

The interquartile range (IQR) is a measure of variability used in statistical analysis. The IQR is often used as a measure of spread because it is less sensitive to outliers than the range. Standard IQR numbers are values that have been standardized to fit within a specific range of 0-15.

Standardizing the IQR allows for easier comparison of data across different datasets, as it ensures that the IQR values fall within a consistent range. The range of standard IQR numbers is often used in educational assessments and other standardized tests to report the variability of student performance or other metrics. So, the correct answer is option B).

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Answer:

18 blinks per min since 126 divided by 7 equals 18.

Given that √7 is a solution to the equation x² = 7, we can use this equation to find a decimal approximation of √7 that satisfies the given condition.

First, we can estimate that √7 is between 2.5 and 3, since 2² = 4 < 7 and 3² = 9 > 7.

Next, we can try using a decimal approximation of √7, such as 2.6 or 2.7, and square it to see if the result is between 6.9 and 7.1.

If we try 2.6, we get:

(2.6)² = 6.76

Since this is less than 6.9, we can try a larger value, such as 2.7:

(2.7)² = 7.29

Since this is greater than 7.1, we can try a value between 2.6 and 2.7, such as 2.65:

(2.65)² = 7.0225

This result is between 6.9 and 7.1, so a decimal approximation of √7 that satisfies the given condition is approximately 2.65.

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Answer:

Option C.

Step-by-step explanation:

Gross pay = (total hours works) * pay rate

                 = (4.7 + 7.3 + 6.4 + 5.8 + 5.4) * 12.1

                 = 29.6 * 12.1

                 = $358.16

This number is closest to 354.53, so C is the correct answer.

Six can be represented using 3 bits, but 2⁴ = 16 unique numbers can be represented using four bits. However, 20 can be represented using 5 bits since 2⁵ = 32 unique numbers can be represented using five bits.

The question "show that the numbers 0 to 7 can be written using 3 binary digits (bits).Binary numbers are constructed by concatenating bits (binary digits).

Each bit can take on one of two values: 0 or 1. Binary notation is frequently utilized in computer engineering to represent data, instructions, and addresses. Three bits can represent 2³ = 8 unique numbers since each bit has two options (0 or 1).

Thus, the numbers 0 to 7 can be represented using 3 bits since 2³ = 8. We can also figure out how many bits are required to represent the numbers 0 to 6 or 0 to 20.

Six can be represented using 3 bits, but 2⁴ = 16 unique numbers can be represented using four bits. However, 20 can be represented using 5 bits since 2⁵ = 32 unique numbers can be represented using five bits.

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