the teacher calculates the highest score as being 97 and the lowest score as being 75. what is the range?

\((\stackrel{x_1}{10}~,~\stackrel{y_1}{a})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{a}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{10}}} ~~ = ~~\stackrel{\textit{\LARGE m}}{\cfrac{1}{4}} \\\\\\ \cfrac{8-a}{-12}=\cfrac{1}{4}\implies 32-4a=-12\implies 44-4a=0 \\\\\\ 44=4a\implies \cfrac{44}{4}=a\implies \boxed{11=a}\)

Answer:

x: -6, y: -2

Step-by-step explanation:

look at the graph, I hope this is the x and y of the lines. It says the answers, but just identify it.

Answer:

(- 6, 0 ) and (0, - 2 )

Step-by-step explanation:

The x- intercept is the value of x on the x- axis where the line crosses.

Here x = - 6 ← x- intercept or (- 6, 0) in coordinate form

The y- intercept is the value of y on the y- axis where the line crosses.

Here y = - 2 ← y- intercept or (0, - 2 ) in coordinate form

Answer:

\(\frac{\pi \: {m}^{2} }{2} \: square\: \: units\)

Hope you could understand.

If you have any query, feel free to ask.

The cost to print 50 photos is $12.50

What is proportion?

The proportion formula is used to determine whether or not two ratios or fractions are equal.

We can use a proportion to find the cost to print 50 photos based on the cost to print 20 photos. Since Ms. Morris charges $5.00 to print 20 photos, we can set up the proportion:

\(\frac{cost \ of \ 20\ photos}{number \ of\ photos } =\frac{cost \ of \ 50 \ photos}{number\ of \ photos}\)

Plugging in the given values, we get:

$5.00 / 20 photos = x / 50 photos

Simplifying, we can cross-multiply to get:

20 photos * x = $5.00 * 50 photos

Multiplying and simplifying further, we get:

20x = $250.00

Dividing both sides by 20, we get:

x = $12.50

Therefore, the cost to print 50 photos is $12.50.

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Answer:

The horizontal shift depends on the value of h . When h>0 , the horizontal shift is described as: g(x)=f(x+h) g ( x ) = f ( x + h ) - The graph is shifted to the left h units. g(x)=f(x−h) g ( x ) = f ( x - h ) - The graph is shifted to the right h units.

Step-by-step explanation:

Your Welcome! :)

Answer:

Depends on your functions, but could be horizontal translation.

Step-by-step explanation:

I would need the functions but I hope the info I gave will help at least a little. I think the other person probably has it better.

Answer: A and E

Step-by-step explanation: they both appear to be 3 units tall and 2 units wide. Two objects are congruent if they are similar but in different places or if they have the same ratio 3:2 but at different sizes: like 6:4 for example

Hope this helps! :)

Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

Answer:

60 stores

Step-by-step explanation:

Here, we want to get the total number of stores in which Esther and her 6 brothers went shopping

From the question, she shopped in 12 different stores

Each of her six brothers shopped in 8 different stores

That makes the number of stores in which the brothers shop be 8 * 6 = 48 stores

The total number of stores is thus, 48 + 12 = 60 stores

Answer:

the answer is 17

Answer:

22 is 20% of 110

Step-by-step explanation:

Answer:

The number must be between 80 and 83.666002653408

Step-by-step explanation:

The square root of 6400 is 80 and the square root of 7000 is 83.666002653408 so it would be between those numbers.

Answer: If the numbers are arranged from the least to the greatest, then it is called ascending order. In this form, the numbers are in increasing order. The first number should be lesser than the second number. If the numbers are arranged from the greatest to the least, then it is called descending order

Step-by-step explanation:

a) The value of z corresponding to an area of 0.1210 can be found using statistical tables or a statistical calculator.

b) Similarly, the value of z corresponding to an area of 0.9898 can be obtained using statistical tables or a statistical calculator.

c) To find the value of z at the 45th percentile, we can use the standard normal distribution table or a statistical calculator.

a) To find the value of z corresponding to an area of 0.1210, you can use a standard normal distribution table or a statistical calculator. By looking up the area of 0.1210 in the table, you can determine the corresponding z-value. For example, if you find that the z-value for an area of 0.1210 is -1.15, then -1.15 is the value of z corresponding to the given area.

b) Similarly, to find the value of z corresponding to an area of 0.9898, you can refer to a standard normal distribution table or use a statistical calculator. Find the z-value that corresponds to the area of 0.9898. For instance, if the z-value for an area of 0.9898 is 2.32, then 2.32 is the value of z corresponding to the given area.

c) To find the value of z at the 45th percentile, you can use a standard normal distribution table or a statistical calculator. The 45th percentile corresponds to an area of 0.4500. By finding the z-value for an area of 0.4500, you can determine the value of z at the 45th percentile. For example, if the z-value for an area of 0.4500 is 0.125, then 0.125 is the value of z at the 45th percentile.

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Answer:

5/12 probability for red, 3/12 probability for blue, and 4/12 probability for yellow :)

Step-by-step explanation:

The width of the photograph is approximately 10.5 inches.

Let's first write an expression for the length of the photograph in terms of its width

Length = Width + 6 inches

And we know that the area of the photograph is given by

Area = Length × Width

Substituting the expression for the length, we get

Area = (Width + 6) × Width

Simplifying this expression, we get

Area = Width^2 + 6 Width

We are given that the area of the photograph is 132 square inches. So we can set up an equation

132 = Width^2 + 6 Width

Rearranging this equation, we get a quadratic equation in standard form

Width^2 + 6 Width - 132 = 0

Now we can solve for the width using the quadratic formula

Width = (-6 ± √(6^2 - 4(1)(-132))) / (2(1))

Width = (-6 ± √(1416)) / 2

We can simplify this expression

Width = (-3 ± √354)

Since the width must be positive, we can discard the negative solution

Width = (-3 + √354) ≈ 10.5 inches

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A power series is defined as a series that has a variable raised to a series of powers that are generally integers. These types of series are very significant because they allow one to represent a function as a series of terms. The given power series is f(x)=∑k=0∞5k−12k(x−1)k. First, we use the Ratio Test to determine the radius of convergence.

We consider the power series as a sum of functions of x by writing:

∑k=0∞5k−12k(x−1)k=∑k=0∞bk(x)

We need to determine the limit

L(x)=limk→∞|bk(x)bk+1(x)||bk(x)||bk+1(x)|,

where we have explicitly indicated here that this limit likely depends on the x-value we choose.We calculate bk+1(x)= and bk(x)= Exercise.Simplifying the ratio

∣∣bkbk+1∣∣∣∣bkbk+1∣∣gives us ∣∣bkbk+1∣∣=∣∣x−1∣∣5/2.

This shows that L(x) = |x-1|/5/2 = 2|x-1|/5.

Consider the power series

f(x)=∑k=0∞5k−12k(x−1)k.

We need to determine the radius and interval of convergence for this power series. We begin by using the Ratio Test to determine the radius of convergence. We consider the power series as a sum of functions of x by writing:

∑k=0∞5k−12k(x−1)k=∑k=0∞bk(x)

We need to determine the limit

L(x)=limk→∞|bk(x)bk+1(x)||bk(x)||bk+1(x)|,

where we have explicitly indicated here that this limit likely depends on the x-value we choose. We calculate bk+1(x)= and bk(x)= Exercise.Simplifying the ratio

∣∣bkbk+1∣∣∣∣bkbk+1∣∣gives us ∣∣bkbk+1∣∣=∣∣x−1∣∣5/2.

This shows that L(x) = |x-1|/5/2 = 2|x-1|/5. Thus, we see that the series converges absolutely if 2|x-1|/5 < 1, or equivalently, if |x-1| < 5/2. Hence, the interval of convergence is (1-5/2, 1+5/2) = (-3/2, 7/2), and the radius of convergence is 5/2.  

Thus, we have determined the interval of convergence as (-3/2, 7/2) and the radius of convergence as 5/2.

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The probability that a woman was wearing a belt given that she was also carrying a purse is 0.333 or 33.3%.

To find the probability that a woman was wearing a belt given that she was also carrying a purse, we need to use conditional probability.

We know that out of the 30 women observed, 18 were carrying purses and 6 were both carrying purses and wearing belts.

This means that the number of women carrying purses who were also wearing belts is 6.
Therefore, the probability that a woman was wearing a belt given that she was also carrying a purse is:
P(wearing a belt | carrying a purse) = number of women wearing a belt and carrying a purse / number of women carrying a purse
P(wearing a belt | carrying a purse) = 6 / 18
P(wearing a belt | carrying a purse) = 0.333
Given the information provided, we can determine the probability of a woman wearing a belt, given that she is also carrying a purse.

First, we need to find the number of women carrying a purse and wearing a belt, which is 6. There are 18 women carrying purses in total.
So, to find the probability, we will use the formula:
P(Belt | Purse) = (Number of women wearing belts and carrying purses) / (Number of women carrying purses)
P(Belt | Purse) = 6 / 18
P(Belt | Purse) = 1/3 or approximately 0.33
Therefore, the probability that a woman was wearing a belt, given that she was also carrying a purse, is 1/3 or approximately 0.33.

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"a ∝ b" means "a is proportional to b", which in turn means there is some constant k such that

a = kb

We're given that a = 18 and b = 3, so that

18 = 3k   ⇒   k = 6

Then when b = 5, we would have

a = 6 × 5 = 30

Answer:

$455.75

Step-by-step explanation:

End amount = 200.00(1 + 0.04)^(21) = $455.75

The correct option is d) mathematical

What is a technical system model?

A mathematical model is a set of equations or algorithms that represent technical aspects of a system. These equations or algorithms are used to predict or simulate system behavior and performance. Mathematical models are often used in engineering, science, economics, and other fields where complex systems need to be analyzed and optimized. For example, a mathematical model could be used to analyze how a communication network would perform with different levels of traffic or to predict how a chemical reaction would proceed under various conditions. Mathematical models are often represented graphically to provide a clear visualization of the complex relationships between variables within a system. Overall, mathematical models are an essential tool for designing, optimizing, and managing complex systems.

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Answer:

its volume was 450,000 cubic cubits.

Step-by-step explanation:

According to Genesis 6:15, the Ark measured three hundred cubits in length, fifty cubits in width, and thirty cubits in height. Therefore its volume was 450,000 cubic cubits

Answer:

1:2 = 2:4,    4:9=8 : 18.     5 : 3 = 10 :6,  7:10 = 14 : 20,  3:2 = 6:4

Step-by-step explanation:

The value of the exponent (2/5)^3 is \(\frac{8}{125}\)

In the above question, it is given that

(2/5)^3

The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 2^3) signifies 2 x 2 x 2 = 8.

We need to solve it and then find the value of the exponent

(2/5)^3

= \(\frac{2}{5}\) x \(\frac{2}{5}\) x \(\frac{2}{5}\)

= \(\frac{2 . 2. 2}{5 . 5 . 5}\)

= \(\frac{8}{125}\)

Therefore the value of the exponent (2/5)^3 is \(\frac{8}{125}\)

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Answer:

this is the answer

Step-by-step explanation:

20:15=20/15=4/3=n

Hence, 1:n=3:4

Answer:

x=46 and y=42

Step-by-step explanation:

make 2y+6 equal to 8y-102 to solve for y as they are vertically oppisate angles which make them equal.

then substitute the new value for y into either expression and solve x using the rule a straight line is equal to 180.

Answer:

y = 5

Step-by-step explanation:

first you subtract 5y from itself and from 7y

then you'll get: 2y + 2 < 12

then subtract the 2 from itself and from the 12

that will give you: 2y < 10

then just divide the 2 from itself and that eliminates the 2 but keeps the y, and divide the 10 by the 2

that'll give you y = 5

using the fifth partial sum of the exponential series, the approximation for e^(-2.5) is approximately 1.649 (rounded to three decimal places).

To approximate the value of e^(-2.5) using the fifth partial sum of the exponential series, we can use the formula:

e^x = 1 + x + (x^2 / 2!) + (x^3 / 3!) + (x^4 / 4!) + ... + (x^n / n!)

In this case, we have x = -2.5. Let's calculate the fifth partial sum:

e^(-2.5) ≈ 1 + (-2.5) + (-2.5^2 / 2!) + (-2.5^3 / 3!) + (-2.5^4 / 4!)

Using a calculator or performing the calculations step by step:

e^(-2.5) ≈ 1 + (-2.5) + (6.25 / 2) + (-15.625 / 6) + (39.0625 / 24)

e^(-2.5) ≈ 1 - 2.5 + 3.125 - 2.60417 + 1.6276

e^(-2.5) ≈ 1.64893

Therefore, using the fifth partial sum of the exponential series, the approximation for e^(-2.5) is approximately 1.649 (rounded to three decimal places).

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Answer:

please mark me brainliest and follow me my friend.

The determinant of the given matrix in terms of the variable a is a^2 + 5a + 2.

To compute the determinant of the given matrix, we can use the Laplace expansion along the first row. Let's denote the matrix as A:

A = [1 2 -2; 0 a -1; 2 -1 a]

Expanding along the first row, we have:

det(A) = 1 * det(A11) - 2 * det(A12) + (-2) * det(A13)

where det(Aij) represents the determinant of the matrix obtained by removing the i-th row and j-th column from A.

Now let's calculate the determinant of each submatrix:

det(A11) = det([a -1; -1 a]) = a^2 - (-1)(-1) = a^2 + 1

det(A12) = det([0 -1; 2 a]) = (0)(a) - (-1)(2) = 2

det(A13) = det([0 a; 2 -1]) = (0)(-1) - (a)(2) = -2a

Substituting these determinants back into the Laplace expansion formula:

det(A) = 1 * (a^2 + 1) - 2 * 2 + (-2) * (-2a)

= a^2 + 1 - 4 + 4a

= a^2 + 4a - 3

Simplifying further, we obtain:

det(A) = a^2 + 4a - 3

= a^2 + 5a + 2

Therefore, the determinant of the given matrix in terms of the variable a is a^2 + 5a + 2

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