Write the equation of a line perpendicular to the line: y = 2x - 1 that goes through the point (-8, -5).
Write your answer in slope- intercept form, using reduced fractions for the slope and intercept

Answer:

4/7n+15

Step-by-step explanation:

Let the number be n

4/7 of a number means: 4/7 times a number (n). So 4/7n then, increase (add) that by 15

you'll get the equation 4/7n+15

Answer: y= 3/5x -12/5

The standard deviation of the normal  distribution is 56.

What is normal distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically towards either extreme. The distribution's mean is another name for the centre of the range.

Here the mean μ= 172 Dhs

P(Z>274)=6%=0.06

Now using formula,

=> \(Z=\frac{X-\mu}{\sigma}\)

=> P(Z>(274-172))/σ = 0.06

=> \(\frac{P(Z > 102)}{0.06}=\sigma\)

=> σ= 56

Hence the standard deviation is 56.

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The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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Answer:

b.

Step-by-step explanation:

its correct mark pls i really need

Answer:

go to your book read it or ask your sir or ma'am

The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.

a) We are given the equation 8 tan θ = 3 cos θ.

Dividing both sides of the equation by cos θ, we have:

8 tan θ / cos θ = 3

Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:

8 (sin θ / cos θ) / cos θ = 3

Simplifying further, we get:

8 sin θ / cos^2 θ = 3

Now, multiplying both sides of the equation by cos^2 θ, we have:

8 sin θ = 3 cos^2 θ

Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:

8 sin θ = 3(1 - sin^2 θ)

Expanding the equation, we get:

8 sin θ = 3 - 3 sin^2 θ

Rearranging the terms, we have:

3 sin^2 θ + 8 sin θ - 3 = 0

Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.

b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.

To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.

In this case, the equation factors as:

(3 sin θ - 1)(sin θ + 3) = 0

Setting each factor equal to zero, we have two equations:

3 sin θ - 1 = 0    or    sin θ + 3 = 0

For the first equation, solving for sin θ, we get:

3 sin θ = 1

sin θ = 1/3

Taking the inverse sine (sin^-1) of both sides, we find:

θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)

For the second equation, solving for sin θ, we have:

sin θ = -3

Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).

Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.

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Answer:

Denominator for 2/5 is 5, and denominator for 13/16 is 16.

Here is one solution to the puzzle:

Squares: 2, 8, 16

Circles: 5, 7, 14

Total: 26

You can verify that each row of three numbers adds up to 26: 2 + 8 + 16 = 26, 5 + 7 + 14 = 26.

An even number is a number that can be divided into two equal groups. An odd number is a number that cannot be divided into two equal groups. Even numbers end in 2, 4, 6, 8 and 0 regardless of how many digits they have. Odd numbers end in 1, 3, 5, 7, 9.

Therefore, the correct answer is as given above

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The option that is not a pair of equivalent fractions for 5/8 and ½ is C. 3/8.

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

From the information, Mohammad says that there is 5/8 of a ham sandwich left that he bought in LULU Supermarket and 1/2 of a turkey sandwich left.

It should be noted that 3/8 is not an equivalent fraction. Therefore, the correct option is C.

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Mohammad says that there is 5/8 of a ham sandwich left that he bought in LULU Supermarket and 1/2 of a turkey sandwich left. What is NOT a pair of equivalent fractions for 5/8 and ½.

10/16

3/6

3/8

5/10

Answer:

Review. The mean and the median can be calculated to help you find the “center” of a data set. The mean is the best estimate for the actual data set, but the median is the best measurement when a data set contains several outliers or extreme values.

Step-by-step explanation:

bye

Answer:

the mean is 1.8, the median is 1

Step-by-step explanation:

Answer: -0.75

Please mark mine as brainliest

Answer:

\(m=\frac{-3}{4}\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in your 2 coordinates into the slope formula to find slope m:

\(m=\frac{1-7}{6-(-2)}\)

\(m=\frac{-6}{6+2}\)

\(m=\frac{-6}{8}\)

\(m=\frac{-3}{4}\)

Answer:

a) The mean is $55 and the standard deviation is $0.6957

b) The shape of the sampling distribution of x is approximately normal.

c) 0.0749 = 7.49% probability that the average cell phone service paid by the sample of cell phone users will exceed $56.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)

In this question:

Mean of the distribution: 55

Standard deviation of the distribution: 22

Sample of 1000.

This means that:

\(\mu = 55, \sigma = 22, n = 1000\)

Part A: What are the mean and standard deviation of the sample distribution of X?

By the Central Limit Theorem, the mean is 55 and the standard deviation is \(s = \frac{22}{\sqrt{1000}} = 0.6957\).

Part B: What is the shape of the sampling distribution of x?

By the Central Limit Theorem, the shape of the sampling distribution of x is approximately normal.

Part C: What is the probability that the average cell phone service paid by the sample of cell phone users will exceed $56?

This is 1 subtracted by the pvalue of Z when \(X = 56\). So:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{56 - 55}{0.6957}\)

\(Z = 1.44\)

\(Z = 1.44\) has a pvalue of 0.9251

1 - 0.9251 = 0.0749

0.0749 = 7.49% probability that the average cell phone service paid by the sample of cell phone users will exceed $56.

Answer:

the number of the minutes 29

Step-by-step explanation:

because the if we take the cost from the session it will be 36.25 and divide by 1.25 because it takes every minute 1.25 so it will be 29

Answer:

1.25x+7=43.25

29 min

Step-by-step explanation:

After answering the presented question, we can conclude that As a result, 43 squared is an irrational number.

A rational number is one that can be stated as a ratio (or fraction) of two integers. A rational number is a nonzero denominator fraction. Rational numbers include 1/2, 1/5, and 3/4. A rational number, "0" can also be stated in a variety of ways, such as 0/1, 0/2, and 0/3. Nevertheless, 1/0, 2/0, 3/0, and so on. The number seven makes sense. A rational number is the product of dividing two integers. To get the rational number 7, divide the whole number 7 by the whole number 1. A rational number is one that can be divided by two integers to get 7.

43's square root is an irrational number.

Assume the square root of 43 is rational to show why. So we can write it as a fraction in its most basic form, as follows:

√43 = a/b

where a and b are integers with no factors in common.

When we square both sides of this equation, we get:

\(43 = a^2 / b^2\)

When we multiply both sides by b2, we get:

\(43b^2 = a^2\)

As a result, 43 squared is an irrational number.

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The type of function that models the data in the table is a linear function with a difference of 2

From the question, we have the following table of values that can be used in our computation:

The table of values

The above definitions imply that we simply add 2 to the previous term to get the current term

This means that the function is a linear function

Hence, the type of function that models the data in the table is a linear function

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Question

Which best describes the function represented by the data in the table? linear with a common ratio of 2 linear with a common second difference of 2 quadratic with a common ratio of 2 quadratic with a common second difference of 2

x    y

0    0

1     2

2    4

3    6

4    8

Answer:

11

Step-by-step explanation:

(20 + 1 + 14 + 14 + 9 + 8) / 6

= 66 / 6

= 11

Answer:

20%

Step-by-step explanation:

p(outcomes)=#of favourable outcomes/#of possible outcomes

=1/5

=0.2

=20%

The number of tablets that should be taken each day by the patient who needs Synthroid is 1 tablet.

To find the number of tablets of Synthroid that should be taken, you convert the requirements from micrograms ( μg ) to milligrams ( mg).

1 milligram = 1, 000 micrograms ( μg )

25. 0 μg in milligrams is therefore:

= 25 / 1, 000

= 0. 025 mg

This means that the number of tablet to take is:

= Mg requirement / Mg of tablet

= 0. 025 / 0. 025

= 1 tablet

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The term refers to a thorough count, often known as a comprehensive enumeration.

Every unit, whether it be an individual or the entire population, is studied during a census. A comprehensive enumeration, which refers to an exhaustive count, is what is meant by the term.

A census is a survey that is carried out on the entire collection of observational objects that are a part of a certain population or universe. A census is a thorough count of a population or groups at a particular period in relation to clearly specified qualities, such as population, production, or traffic on specific roadways.

The population of a nation is counted during a census. It also provides information about those individuals, including their histories, possessions, and way of life. Censuses are a key decision-making tool for both governments and enterprises.

The correct answer is option C. A study of the durability of earthquake-proof building materials.

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Answer:

Step-by-step explanation:

This equation represents the relationship between the exponential functions y = e^x and y = (10^(x-1)). These two functions are equal to each other for all values of x. This can be shown by taking the natural logarithm of both sides of the equation, which gives us:

ln(e^x) = x-1

In this equation, ln(e^x) is equal to x, since the natural logarithm of an exponential expression with a base of e is the exponent. Therefore, we can simplify the equation by taking the natural logarithm of both sides:

ln(10^(x-1)) = x-1

e^(x-1) = 10^x

The two functions e^x and 10^(x-1) are the same function with different bases, so they follow the same pattern. The fact that these two functions are equal to each other for all values of x can also be shown by graphing the two functions and seeing that they overlap perfectly.

Answer:

The vertex of the graph of g is 2 units above the vertex of the graph of f.

Step-by-step explanation:

The vertex of the graph of g(x) is 2 units above the vertex of the graph of f(x). Then the correct option is A.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The graph of f(x) = x² was transformed to create a graph g(x) =f(x)+2.

Then the g(x) will be

g(x) = x² + 2

We know that the graph of the g(x) shifted to 2 units upward because we added 2 in the function.

The graph is shown.

The vertex of the graph of g(x) is 2 units above the vertex of the graph of f(x).

Thus, the correct option is A.

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The volume of the given pyramid is  64 cubic inches.

The volume of the pyramid is the product of one-third of the height and square of the base side length.

The volume of Pyramid A =  (1/3)(side²)(height)

The volume of a square pyramid is equal to one-third of the product of the base’s area and the pyramid’s height. The formula is:

V = (1/3) × a² × h

where a is the length of the square base, and h is the height (or altitude).

We are given that;

h = 3 inch, a = 8 inch, and hypotenuse = 5 inch,

Now, we can plug in the values into the formula and get:

V = (1/3) × 8² × 3

V = (1/3) × 64 × 3

V= (64 x 3)/3

V = 64 inch³

Therefore, by the given data the volume of the pyramid will be 64 cubic inches.

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The perimeter of the figure can be found by using option A: Use the distance formula to find the length of each side, and then add the lengths.

To find the perimeter of a quadrilateral in the coordinate plane, we can use the distance formula.

The distance formula allows us to calculate the length of a line segment between two given points (x₁, y₁) and (x₂, y₂).

By applying the distance formula to each pair of consecutive vertices of the quadrilateral, we can determine the length of each side.

Once we have the lengths of all the sides, we simply add them together to find the perimeter of the quadrilateral.

Let's say the vertices of the quadrilateral are A(x₁, y₁), B(x₂, y₂), C(x₃, y₃), and D(x₄, y₄).

We can calculate the lengths of the sides AB, BC, CD, and DA using the distance formula:

Length of AB = √((x₂ - x₁)² + (y₂ - y₁)²)

Length of BC = √((x₃ - x₂)² + (y₃ - y₂)²)

Length of CD = √((x₄ - x₃)² + (y₄ - y₃)²)

Length of DA = √((x₁ - x₄)² + (y₁ - y₄)²)

Finally, we add the lengths of all the sides to obtain the perimeter of the quadrilateral:

Perimeter = Length of AB + Length of BC + Length of CD + Length of DA

Therefore, the correct method to find the perimeter of a quadrilateral in the coordinate plane is to use the distance formula to find the length of each side and then add the lengths together.

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Answer:

There is a 97.59% that diameter of the product will fall in the specified range.

Step-by-step explanation:

Let X be the r.v. the diameter of a product

X~N(12.5, (0.010)²)

P(12.48 < X < 12.53) = P(X < 12.53) - P(X < 12.48)

Convert the x-values to corresponding z-values

\(Z_{1} = \frac{12.48 - 12.50}{0.01} = -2\\\\Z_{2} = \frac{12.53 - 12.50}{0.01} = 3\\\\\)

Then, using the standard normal distribution cumulative probability tables:

\(P(X < 12.53) - P(X < 12.48) = P(Z < 3) - P(Z < -2)\\\\= P(Z < 3) - (1 - P(Z < 2))\\\\= 0.9987 - (1 - 0.9772)\\\\= 0.9987 - 0.0228\\\\= 0.9759\)

Answer:

Let's denote:

- The number of orders Diane served as `D`

- The number of orders Sam served as `S`

- The number of orders Boris served as `B`

From the problem, we know:

1. `D + S + B = 54` (the total number of orders they served)

2. `D = S - 6` (Diane served 6 fewer orders than Sam)

3. `B = 2S` (Boris served 2 times as many orders as Sam)

We can substitute equations 2 and 3 into equation 1 to solve for the variables:

Substitute `D` and `B` in equation 1:

`(S - 6) + S + 2S = 54`

Combine like terms:

`4S - 6 = 54`

Add 6 to both sides:

`4S = 60`

Divide by 4:

`S = 15`

Now that we know `S = 15`, we can find `D` and `B` by substituting `S` into equations 2 and 3:

`D = S - 6 = 15 - 6 = 9`

`B = 2S = 2 * 15 = 30`

So, Diane served 9 orders, Sam served 15 orders, and Boris served 30 orders.

Answer:

the answer is false

Step-by-step explanation:

comment if you want explanation

Answer:

True

Step-by-step explanation:

When using the formulas to find the surface area, both have equal surface area

Answer:

for what

Step-by-step explanation:

The correct match for each linear system with one of the phase plane direction fields will be:

1:B

2:C

3:D

4:A

What is plane?

In geometry, a plane is a surface made up of all the straight lines connecting any two locations on it. It is, in other words, a level or flat surface. A plane is uniquely defined in a Euclidean space of any number of dimensions by one of the following: three non-collinear points are used. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature. The flat surfaces of a cube or cuboid, as well as the flat surface of paper, are all true instances of geometric planes, despite the fact that it is difficult to envision a plane in real life.

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