The slope of a line is -3/4. One point on the line is (-2,5). Another point on the line is (6,r). Find r.

Answer:

Step-by-step explanation:

The scale factor is 2/3

2/3=2*2/2*3=4/6

2/3=2*3/3*3=6/9

The two figures are similar and the scale factor of the first figure to the second figure is \(\frac{2}{3}\)

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

From the given figure take the same sides of both figure

Width = \(\frac{6}{9}=\frac{2}{3}\)

Length = \(\frac{4}{6}=\frac{2}{3}\)

Height = \(\frac{2}{3}\)

Therefore the scale factor is \(\frac{2}{3}\)

Hence, the two figures are similar and the scale factor of the first figure to the second figure is \(\frac{2}{3}\)

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Answer:

The answer is A.

Step-by-step explanation:

We know two sides, and one angle of the corresponding side. Thus, we can use the Law of Sines to find the last angle.

The Law of Sines:

\(\frac{sin(A)}{A}=\frac{sin(B)}{B}= \frac{sin(C)}{C}\)

Plug in what we know:

\(\frac{sin(38)}{70} =\frac{sin(C)}{108}\)

Cross multiply:

\(70sin(C)=108sin(38)\)

\(sin(C)=\frac{108sin(38)}{70}\)

\(C=arcsin(\frac{54sin(38)}{35} )\)

\(C \approx 71.7827\)

Yes, an exponential function can have 1 as a base.

An exponential function is a function of the form f(x) = a^x, where a is the base and x is the exponent. The base can be any real number, including 1.

When the base is 1, the exponential function is defined as f(x) = 1^x = 1 for any value of x. This function is a constant function that always equals 1.

It is important to note that when the base of an exponential function is less than 0, the domain of the function is all real numbers except for certain values of x.

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Answer:

Step-by-step explanation:

We can use the rule of three!

We know we have the following relationship:

\(\frac{49}{7} = \frac{x}{4}\)

From here, we can solve this like any other equation:

\(4(\frac{49}{7}) = x\\x = 28\)

Therefore, you would earn $28 after washing 4 cars.

Good luck!

You earn $28 for washing 4 cars.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

You earn $49 for washing 7 cars.

Now,

Since, The cost for washing 7 cars = $49

Hence, The cost for washing 4 cars = $49 × 4 / 7

                                                        = $7 × 4

                                                       = $28

Thus, The cost for washing 4 cars = $28

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Answer:

It is a one solution answer with the point of intersection being (1,0)

Answer:

$96

Step-by-step explanation:

The formula to calculate the total value of a single row is to use the SUM function (e.g., "=SUM(A1:F1)").

The formula to calculate the total value of a single row in a table or spreadsheet depends on the specific context and structure of the data.

If you have a row of values in Excel or a similar spreadsheet program, you can use the SUM function to calculate the total. The SUM function adds up all the numbers within a specified range or cell references. For example, if your row of values is in cells A1 to F1, you can use the formula "=SUM(A1:F1)" to calculate the total value of that row.

Alternatively, if you have a row of values in a programming language or mathematical notation, you can manually sum up the values by adding them together. For example, if you have a row of values represented as an array or list in Python, you can use a loop or a built-in function like `sum()` to calculate the total.

In general, the specific formula or method to calculate the total value of a row depends on the software or programming language you are using and the structure of the data.

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Yes, the test in an "if" function must evaluate to either a True or a False value.

An "if" function, also known as a conditional statement, is used to perform specific actions based on whether a certain condition is met or not. The test or condition within the "if" function needs to be evaluated as either True or False in order for the program to decide which action to execute. If the test evaluates to True, the program will perform the action within the "if" block, and if it evaluates to False, it will either execute the action in the "else" block (if present) or simply skip the "if" block.

When using an "if" function in programming, it is essential for the test or condition within the statement to result in a boolean value, which is either True or False. This is because the program needs to determine whether the condition is met or not, so it can decide which set of actions to execute. If the condition evaluates to True, the code within the "if" block will be executed, while if it evaluates to False, the code within the "else" block (if present) will be executed, or the "if" block will be skipped altogether.

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Answer:

5/4 divided by 36?

= 5/144

Answer:

let ratios be (x)

5x+4x=36

9x=36

9x=36

x=4

Step-by-step explanation:

5 fands are equivalent to 7.5 wands.

To determine how many wands are equivalent to 5 fands, we can use the given equivalences and set up a proportion.

We are given:

4 wands = 6 rands

24 rands = 8 fands

First, let's convert the given equivalences to a common unit. Since we want to find the equivalence in wands, we need to convert rands to wands.

From the first equivalence, we can rewrite it as:

1 wand = (6/4) rands

1 wand = (3/2) rands

Now, let's convert rands to fands using the second equivalence:

1 fand = (24/8) rands

1 fand = 3 rands

So, we have:

1 wand = (3/2) rands

1 fand = 3 rands

To find how many wands are equivalent to 5 fands, we set up a proportion:

1 wand / 1 fand = x wands / 5 fands

Cross-multiplying, we get:

x wands = (1 wand / 1 fand) * 5 fands

x wands = (3/2) * 5

x wands = 15/2

x wands = 7.5

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The 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

To find the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers, we can use the formula for the confidence interval for a proportion.

The formula for the confidence interval is:

CI = p1 ± Z * √((p1 * (1 - p1)) / n)

Where:

CI is the confidence interval,

p1 is the sample proportion (proportion of accidents involving teenage drivers),

Z is the Z-score corresponding to the desired confidence level (95% confidence level corresponds to Z ≈ 1.96),

n is the sample size (number of accidents checked).

Given:

Number of accidents checked (sample size), n = 582

Number of accidents involving teenage drivers, x = 91

First, we calculate the sample proportion:

p1 = x / n = 91 / 582 ≈ 0.1566

Now we can calculate the confidence interval:

CI = 0.1566 ± 1.96 * √((0.1566 * (1 - 0.1566)) / 582)

Calculating the standard error of the proportion:

SE = √((p1 * (1 - p1)) / n) = √((0.1566 * (1 - 0.1566)) / 582) ≈ 0.0184

Substituting the values into the formula:

CI = 0.1566 ± 1.96 * 0.0184

Calculating the values:

CI = 0.1566 ± 0.0361

Finally, we can simplify the confidence interval:

CI = (0.1205, 0.1927)

Therefore, the 95% confidence interval for the true proportion of all auto accidents involving teenage drivers is approximately (0.1205, 0.1927).

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Answer:

-5 is the correct answer

Answer:

-5

Step-by-step explanation:

Answer:

the shorter piece is L ÷ 3 feet long in the case when the original stick is L feet long

Step-by-step explanation:

It is given that

The stick is L feet long

And, the two pieces are x and y

Now according to the question

It is given that

one of which is twice as long as the other

so,  

x = 2y

x + y = L

Put the value of x in the above equation

So,  

2y + y = L

3y = L

Now divide by 3

y = L ÷ 3

Hence, the shorter piece is L ÷ 3 feet long in the case when the original stick is L feet long

Answer:

l/3

Step-by-step explanation:

its not one third the answeris the variable L divided by 3

Polynomials are algebraic expressions that involve the sum of power functions. Monomials are the simplest type of polynomial and are used to describe terms with a single term, such as 5m².

A monomial is a polynomial consisting of only one term, and it may be a constant, variable, or a product of a constant and a variable. The degree of a monomial is determined by the exponent of the variable.

In this case, 5m² has a degree of 2 because the exponent of m is 2. When it comes to multiplication and division of monomials,

the rules for powers apply. When multiplying monomials with the same base, we add the exponents; for example, (2m) (3m²) = 6m³.

In terms of dividing monomials, we subtract the exponent of the denominator from the exponent of the numerator; for example, (3m²) / (2m) = 1.5m.

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The statement "P implies Q" is false under the following conditions: a) P is true and Q is false, and d) P is false and Q is true.

The statement "P implies Q" can be expressed as "if P, then Q." It is a conditional statement where P is the antecedent (the condition) and Q is the consequent (the result).

To determine when the statement is false, we need to identify cases where P is true but Q is false, or when P is false but Q is true.

Option a) states that both P and Q are true. In this case, the statement "P implies Q" holds true because if P is true, then Q is true.

Option b) states that both P and Q are false. In this case, the statement "P implies Q" is considered true because the antecedent (P) is false.

Option c) states that P is true and Q is false. Under this condition, the statement "P implies Q" is false because when P is true, but Q is false, the implication does not hold.

Option d) states that P is false and Q is true. In this case, the statement "P implies Q" is true because the antecedent (P) is false.

Therefore, the conditions under which the statement "P implies Q" is false are a) P is true and Q is false, and d) P is false and Q is true.

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Combining these transformations, the resulting graph of y = 2|x - 1| + 3 will have a steeper V-shape, shifted one unit to the right, and shifted three units higher than the parent function y = |x|.

The parent function y = |x| is a V-shaped graph centered at the origin. The absolute value function ensures that the output (y) is always positive, regardless of the input (x).

In the given equation y = 2|x - 1| + 3, the transformation involves three main changes. First, there is a vertical stretch by a factor of 2. This means that the graph is stretched vertically, making it steeper compared to the parent function. The coefficient 2 in front of the absolute value symbol indicates this stretch.

Second, there is a horizontal shift to the right by 1 unit. This means that the entire graph is shifted one unit to the right compared to the parent function. The value inside the absolute value symbol, x - 1, determines this shift.

Finally, there is a vertical shift upwards by 3 units. This means that the entire graph is shifted three units higher compared to the parent function. The constant term 3 at the end of the equation represents this vertical shift.

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The equation y = 2|x - 1| + 3 represents a transformed version of the parent function y = |x|. The transformation involves a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift of 3 units upward.

The parent function y = |x| is a V-shaped graph that passes through the origin. The given equation y = 2|x - 1| + 3 incorporates several transformations from the parent function.

The coefficient 2 in front of |x - 1| indicates a vertical stretch by a factor of 2. This means that the graph of the equation y = 2|x - 1| is twice as steep as the graph of the parent function.

The term (x - 1) inside the absolute value represents a horizontal shift of 1 unit to the right. This means that the graph of the equation is shifted one unit to the right compared to the parent function.

Lastly, the constant term 3 outside the absolute value represents a vertical shift of 3 units upward. This means that the entire graph of the equation is shifted upward by 3 units compared to the parent function.

In summary, the equation y = 2|x - 1| + 3 represents a transformed version of the parent function y = |x|, where the transformations include a vertical stretch by a factor of 2, a horizontal shift of 1 unit to the right, and a vertical shift of 3 units upward.

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Answer:

LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right, good luck, i tried to give you the right answer so if its wrong then its the system!

Step-by-step explanation:

The given expression, \(\bar{A} B+\bar{B} \bar{C}+A B+\bar{B} C\), can be simplified using Boolean algebra to prove that it equals 1.

By applying the distributive law, we can rewrite the expression as \((\bar{A} B + A B) + (\bar{B} \bar{C} + \bar{B} C)\). Simplifying each term separately, we have \(B (\bar{A} + A) + \bar{B} (\bar{C} + C)\).

Since \(\bar{A} + A = 1\) (complement law) and \(\bar{C} + C = 1\) (complement law), the expression becomes \(B \cdot 1 + \bar{B} \cdot 1\), which simplifies to \(B + \bar{B}\).

Applying the complement law, we know that \(B + \bar{B} = 1\), as it represents the OR operation between a variable and its complement. Therefore, we have proven that \(\bar{A} B+\bar{B} \bar{C}+A B+\bar{B} C = 1\).

In summary, by applying Boolean algebra and simplifying the given expression, we have proven that \(\bar{A} B+\bar{B} \bar{C}+A B+\bar{B} C\) equals 1. This is achieved by utilizing the distributive law, the complement law, and the property that the OR operation between a variable and its complement always yields 1.

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Log(1), log(-1), log(i) and ii are all numbers written in the form a + bi. Log(1) = 0; log(-1) = undefined; log(i) = 0.5i; ii = -1; a = -1 and b = 0 because the number is in the form a + bi.

Given numbers are;• log(1)• log(-1)• log(i)• iiFor all numbers written in the form a + bi, we must find a and b. Here's how to do it: log(1)In this case, the log is taken in base 10. The result of this is 0. So, we have: log(1) = 0Therefore, a=0 and b=0 because the number is not in the form a + bi. log(-1)In this case, the log is taken in base 10. The result of this is undefined. This is because there is no power to which we can raise 10 to get -1. So, we have: log(-1) = undefinedTherefore, a=undefined and b=undefined because the number is not in the form a + bi. log(i)In this case, the log is taken in base 10. The result of this is 0.5iπ. So, we have: log(i) = 0.5iπTherefore, a=0 and b=0.5π because the number is in the form a + bi. iiIn this case, we are finding the square of i. i is a complex number given as i = 0 + 1i. Therefore, we have: i2 = (0 + 1i)2= (0)2 + 2(0)(1i) + (1i)2= -1This is because i2 = -1. Now, we can write ii as: ii = i × i= (0 + 1i) × (0 + 1i)= 0 + 0i + 0i + 1i2= -1So, we have: ii = -1Therefore, a=-1 and b=0 because the number is in the form a + bi.

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Answer (assuming that the equation can be written in point-slope form):

\(y-8 = -5(x+\frac{1}{2} )\)

Step-by-step explanation:

Use the point-slope formula, \(y-y_1 = m (x-x_1)\) , to write the equation of the line in point-slope form. Substitute values for the \(m\), \(x_1\), and \(y_1\) in the formula.

Since \(m\) represents the slope, substitute -5 in its place. Since \(x_1\) and \(y_1\) represent the x and y values of one point the line intersects, substitute the x and y values of (-0.5, 8) into the formula as well. Remember that we can convert -0.5 to a fraction: \(-\frac{1}{2}\). So, substitute \(-\frac{1}{2}\) for \(x_1\) and 8 for \(y_1\). This gives the following answer and equation:

\(y-8 = -5(x+\frac{1}{2} )\)    

Answer:

18m

Step-by-step explanation:

336*2 = area

area of square = base x height (both base and height have to be equal lengths)

sqrt. 336 = 18.33m = 1 side

The approximate probability of being dealt a royal flush on the first deal is approximately 0.00000154, or 1 in 649,740.

What is probability?

Probability is a mathematical concept that measures the likelihood or chance of an event occurring. It quantifies the uncertainty associated with the outcome of a particular event or experiment. Probability is expressed as a number between 0 and 1, where 0 indicates impossibility (the event will not happen) and 1 represents certainty (the event will definitely happen).

What is a binomial coefficient?

A binomial coefficient, often denoted as "n choose k" or "C(n, k)," is a mathematical term that represents the number of ways to choose k items from a set of n distinct items, without regard to their order. It is a fundamental concept in combinatorics.

What is factorial?

Factorial is a mathematical function denoted by an exclamation mark (!) following a non-negative integer. It represents the product of all positive integers less than or equal to that integer.

To calculate the number of possible five-card poker hands, we can use the concept of combinations. The number of ways to choose 5 cards out of a deck of 52 cards is given by the binomial coefficient "52 choose 5," which can be calculated as:

C(52, 5) = 52! / (5! * (52 - 5)!)

Now, let's calculate the number of possible royal flush hands. Since there are 4 suits, and each suit can form a royal flush, we multiply the number of suits by the number of ways to arrange the five cards within each suit. So, the total number of possible royal flush hands is:

4 * 1 = 4

The probability of being dealt a royal flush on the first deal is the number of favourable outcomes (royal flush hands) divided by the number of possible outcomes (all possible five-card hands). Therefore, the probability is:

P(royal flush) = 4 / C(52, 5)

Calculating this probability:

P(royal flush) = 4 / (52! / (5! * (52 - 5)!))

To simplify the calculation, we can use the fact that the factorial of a number can be expressed as the product of all the integers from 1 up to that number. For example:

n! = n * (n - 1) * (n - 2) * ... * 3 * 2 * 1

Using this knowledge, we can simplify the expression for C(52, 5) as follows:

C(52, 5) = 52! / (5! * (52 - 5)!)

= (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1)

Simplifying further, we have:

C(52, 5) = 2,598,960

Now, let's substitute this value back into the probability calculation:

P(royal flush) = 4 / C(52, 5)

= 4 / 2,598,960

Calculating this probability:

P(royal flush) ≈ 0.00000154

Hence, the approximate probability of being dealt a royal flush on the first deal is approximately 0.00000154, or 1 in 649,740.

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Answer:

16

Step-by-step explanation:

4x16=64

being perimeter

Answer:

Correct answer is option D

Answer:

cost of 1 kg of washing powder is $1.2

Step-by-step explanation:

9 kg = $10.80

cost for 1 kg =

Answer:

1.2

Step-by-step explanation:

How I would calculate it would be 10.80 divided by 9 or start timesing 1 with a decimal like 1.1 or 1.2.

but anyway 10.80 divided by 9=1.2 and if you just want to make sure then what is 1.2 x 9 it = 10.80

Here is my calculations for what is 1.20 x 9   

 1 . 20

       9

_________

 10   . 8 0  

Since there is no didget beside the 2 you would add a zero

since 9 x 2=18 you add a 1 for 1 x 9 =9 + 1=10 and there's your answer.

Answer=1.2

Hope this helps have a great day:)

Answer:

you added 6

Step-by-step explanation:

how the number order goes.

This type of reflection is a reflection that is across the y axis

A reflection across the y-axis is a transformation that flips a figure over the y-axis.

In this transformation, each point of the original figure is reflected to the opposite side of the y-axis.

In terms of coordinates, a point (x, y) in the original figure is transformed to the point (-x, y) in the reflected figure. This means that the x-coordinate of each point changes sign, but the y-coordinate remains the same.

This image is flipped on the y axis. The positions are changed from the positions at y

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The price of each bottle of juice is $1.03

What is an equation?

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.

Let 'x' be the price of each bottle of juice. Then,

According to the question,

2.36 + 4x = 6.48

or, 4x = 6.48 - 2.36

or, 4x = 4.12

or, x = 4.12/4

or, x = 1.03

Hence, the price of each bottle of juice is $1.03

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Answer:

3.6

Step-by-step explanation:

To find the distance of two points you use the formula \(\sqrt{x2-x1)^{2} +(y2-y1)^{2} }\)

so all we have to do is plug in the x's and y's

the points given are (-8,6) and (-5,8) so  we would do

\(\sqrt{(-5-(-8))^{2} +(8-6)^{2} }\)

if you plug that into a calculator you get that the distance between the two points are 3.605551275

but you would just want to round to the nearest tenth so the distance between the two points are 3.6

hope this helps and if you have nay questions lmk :D