write the equation of a line that has a slope of -1 and passes though (-4,9)

Answer:

3/4

Step-by-step explanation:

divide both 120 nd 160 by 40

Answer:

3/4

Step-by-step explanation:

120/160

12/16

3/4

Let assume the probability of the three events as P(A), P(B), and P(C), respectively. Then:

(a) The probability that at least one of the three events occurs is given by:

P (A or B or C) = 1 - P (not A and not B and not C) = 1 - P (not A) * P (not B) * P (not C)

where P (not A) is the complement of P (A), and similarly for P (not B) and P (not C).

(b) The probability that exactly one of the three events occurs can be calculated by adding the probabilities of each event occurring individually and then subtracting the probability that two events occur simultaneously.

P (exactly one) = P(A) + P(B) + P(C) - 2 * P (A and B) - 2 * P (A and C) - 2 * P(B and C) + 3 * P (A and B and C)

Note that the above formulas assume that the events are mutually exclusive and exhaustive, meaning that one and only one of the events must occur and the sum of the probabilities of the individual events is equal to 1.

If this is not the case, the probabilities need to be adjusted accordingly.

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Answer:

Step-by-step explanation:

1.

\(5\frac{3}{4} +(-\frac{1}{4} )\\\\5\frac{3}{4}=\frac{5\times4+3}{4}=\frac{23}{4}\\\\\frac{23}{4} +(-\frac{1}{4} )\\\\=\frac{23}{4}-\frac{1}{4}\\\\=\frac{23-1}{4}\\\\=\frac{22}{4}\\\\=5\frac{1}{2}\)

2.

\(-\frac{2}{3} +\frac{1}{6} \\\\L.C.M \:OF\:3,6\: =6\\\\Adjust\:fractions\:based \:on \:their\:L.C.M\\\\=-\frac{4}{6}+\frac{1}{6}\\\\=-\frac{4}{6}+\frac{1}{6}\\\\=\frac{-3}{6}\\\\=-\frac{3}{6}\\\\=-\frac{1}{2}\)

3.

\(-\frac{8}{5} +(-\frac{3}{4} )\\\\L.C.M \:OF\:5,4\: =20\\\\Adjust\:fractions\:based \:on \:their\:L.C.M\\\\=-\frac{32}{20}-\frac{15}{20}\\\\=\frac{-32-15}{20}\\\\=\frac{-47}{20}\\\\=-\frac{47}{20}\\\\=-2\frac{7}{20}\)

Answer: y = -0.5x - 1

You're Welcome :)

I know it's right. I checked my work twice and then used a calculator, but I don't want to transfer my work from paper to computer.

Answer:

1) a ≤ 5

2) a ≤ 0

Step-by-step explanation:

An absolute value cannot be negative, so for the first expression, we get 5 - a ≥ 0, which simplifies to a ≤ 5.

For the 2nd expression, we know that a can't be negative, which means our equation is -a ≥ 0, which means a ≤ 0.

Answer:

2

Step-by-step explanation:

Using Mathematical Expressions, Let's call the number of cherries in the cup "x".  There are 11 cherries in the cup.

A mathematical expression is made up of a statement, at least two integers or variables, and one or more arithmetic operations. This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)

We know that:

Total number of cherries = 780

Number of cherries on the plate = 145

Number of cherries in the bowl = 4 * (Number of cherries in the cup + Number of cherries on the plate)

So we can set up the equation:

x + 145 + 4(x + 145) = 780

Simplifying, we can combine like terms:

x + 145 + 4x + 580 = 780

5x + 725 = 780

Subtracting 725 from both sides:

5x = 55

Finally, we can divide both sides by 5:

x = 11

So there are 11 cherries in the cup.

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Based on the Alternate Interior Angles Theorem, the measure of angle 3 in the image attached below is: 100°

If we have a situation where two parallel lines are intersected by a transversal, according to the Alternate Interior Angles Theorem, the pairs of alternate interior angles formed are congruent.

Angles 7 and 3 lie in the interior sides of the parallel lines but on opposite sides of the transversal, which makes them alternate interior angles. Therefore, based on the Alternate Interior Angles Theorem, we have:

m<3 = m<7

Substitute:

m<3 = 100°

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well, the shirt was on sale for 20% off, so that means that off the regular price of $40, that's

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 40}}{\left( \cfrac{20}{100} \right)40}\implies 8\hspace{5em}\stackrel{ 40~~ - ~~8 }{\text{\LARGE 32}}\)

now, let's apply the 5% taxation to that

\(\stackrel{\textit{5\% of 32}}{\left( \cfrac{5}{100} \right)32}\implies 1.6\hspace{5em}\underset{ \textit{final price for Lydia} }{\stackrel{ 32~~ + ~~1.6 }{\text{\LARGE 33.60}}}\)

Answer:

Step-by-step explanation:

(D) $33.60

understanding the steps for problem.
Price . . . $40.00    
off 20% (-)8.00 = $32.00    
. . . . . . . . . . . . 5% (+)  1.60 = $33.60

answer D. $33.60

       

The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).

Herein we find an inequality that involves two absolute values. Absolute values are defined by the following piecewise functions:

Now we proceed to solve the inequality given:

||x - 4| - 7| < 5

- 5 < |x - 4| - 7 < 5

0 < |x - 4| - 2 < 10

|x - 4| - 2 > 0 and |x - 4| - 2 < 10

Case 1: |x - 4| - 2 > 0

|x - 4| > 2

x - 4 > 2 and x - 4 < - 2

x > 6 and x < 2

Case 2: |x - 4| - 2 < 10

|x - 4| < 12

x - 4 < 12 and x - 4 > - 12

x < 16 and x > - 8

The solution of the inequality is (x > - 8 and x < 2) or (x > 6 and x < 16).

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The probability that at least one bit is received incorrectly is 2.96%

Incorrect measure = 0.001

There are just two possible outcomes for each bit. Either it's understood properly or it's not. Since each bit is received independently of the others, this problem can be solved using the binomial probability distribution. Using the binomial probability distribution, where X can only have two outcomes, the likelihood of precisely x successes on n repeated trials

Therefore,

P ( X = x) = Cn,x.px ( 1 - p)^n-x

Here, P = 0.001 and n = 30 ( since the message is 30-bit)

Therefore, calculating the incorrect bit -

P ( X≥1) = 1 - P ( X = 0)

P (X =x) = Cn,x.px ( 1 - p)^n-x

P ( X = 0)  = C30 (0.001). (0.999)^30

= 0.9704

Thus,

P ( X≥1) = 1 - P ( X = 0)

= 1 - 0.9704

= 0.0296 or 2.96%

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Answer:

269.12

Step-by-step explanation:

The cost to paint the walls and the ceiling is $855

First, we need to find the area that will be painted.

The area of two of the walls is:

A = 20ft*12ft = 240ft²

The area of the other two walls:

A' = 30ft*12ft = 360ft²

The area of the ceiling is:

A'' = 20ft*30ft = 600ft²

We also need to subtract the areas of the two doors and the 4 windows.

Each door is 7ft by 3ft, so the area of each door is:

a = 7ft*3ft = 21ft²

Each window is 4ft by 3ft:

a' = 4ft*3ft = 12ft²

Then the total area that will be painted is:

area = 2A + 2A' + A - 2a - 4a'

area = 2*( 240ft²) + 2*(360ft²) + 600ft² - 2*(21ft²) - 4*(12ft²)

area = 1,710 ft²

We know that we need two coats of paint to cover that area, and the cost per square foot of paint is $0.25, then the total cost is:

C = $0.25*2*(1,710) = $855

The cost to paint the walls and the ceiling is $855

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The axis of symmetry is located at a distance of 6.67 feet from one side of the smile and the height of the smile at the axis of symmetry is 0.891 feet.

The equation of the Amazon Smile logo is given by:

h(x) = -0.03x² + 0.4x

To find the axis of symmetry, we need to use the formula:

x = -b / 2a

where a and b are the coefficients of the quadratic equation ax²  + bx + c = 0.

a = -0.03 and b = 0.4.

x = -0.4 / 2(-0.03) = 6.67 feet

Therefore, the axis of symmetry is located at a distance of 6.67 feet from one side of the smile.

To find the height of the smile at the axis of symmetry, we need to substitute x = 6.67 into the given equation:

h(6.67) = -0.03(6.67)² + 0.4(6.67) = 0.891 feet

Therefore, the axis of symmetry is located at a distance of 6.67 feet from one side of the smile and the height of the smile at the axis of symmetry is 0.891 feet.

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Approximately 7 singers have joined the initial singer to increase the level from 74 dB to 83 dB.

To calculate the number of singers that have joined the initial singer, we can use the logarithmic nature of the decibel scale. The decibel scale is logarithmic, meaning that an increase of 10 dB represents a tenfold increase in sound intensity.

In this case, we have an increase from 74 dB to 83 dB, which is an increase of 9 dB. Since each singer is equally loud, we can assume that each additional singer adds the same amount of sound intensity.

To find out how many singers have joined, we need to determine how many times 9 dB represents a tenfold increase. We can use the formula:

\(10^{\\increase} ^{\\in dB/10)}\\\) = number of singers

Let's calculate it:

\(10^{(9/10)\) ≈ 7.94

Therefore, approximately 7 singers have joined the initial singer to increase the level from 74 dB to 83 dB.

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The integration is ∫∫(q · dS) = ∫[0 to √6] ∫[0 to √6] (-45y - 45z) dy dz.

The rate of heat flow inward across the cylindrical surface y² + z² = 6, 0 ≤ x ≤ 3 can be determined by calculating the flux of the heat vector field through the surface.

To find the rate of heat flow, we need to calculate the surface integral of the heat flux vector across the given cylindrical surface. The heat flux vector is given by q = -K∇u, where K is the conductivity and ∇u is the gradient of the temperature function u(x, y, z).

First, we find the gradient of u:

∇u = (∂u/∂x)i + (∂u/∂y)j + (∂u/∂z)k

= 0i + (6y)j + (6z)k

Then, we calculate the heat flux vector:

q = -K(∇u)

= -7.5(0i + (6y)j + (6z)k)

= -45yj - 45zk

Next, we calculate the surface area element vector, dS, of the cylindrical surface. Since the surface is defined by y² + z² = 6, we can parameterize it as r(y,z) = yi + zk. Taking the cross product of the partial derivatives, we obtain dS = (∂r/∂y) x (∂r/∂z) dy dz = (-j -k) dy dz.

Finally, we can calculate the surface integral by integrating the dot product of q and dS over the given cylindrical surface:

∫∫(q · dS) = ∫∫(-45yj - 45zk) · (-j -k) dy dz

To find the limits of integration, we note that the surface extends from y² + z² = 6 to the origin, which corresponds to 0 ≤ y² + z² ≤ 6. Since the surface is symmetric, we can integrate over a quarter of the surface, from y = 0 to y = √6 and z = 0 to z = √6.

Performing the integration, we get:

∫∫(q · dS) = ∫[0 to √6] ∫[0 to √6] (-45y - 45z) dy dz

Evaluating this double integral will give us the rate of heat flow inward across the cylindrical surface.

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Answer: 43.778

Step-by-step explanation: i am guessing thats the answer

Answer:

This graph does not represent a function.

Step-by-step explanation:

The vertical line test describes how, in order to be a function, there must be only one output for every input. Remember, the input of a function is the "x" value and the output is the "y" value.

Because of the circular nature, this graph does not represent a function. As you can see, there are "x" values which could correspond with mutliple "y" values. For example, when x = 2, there are two "y" values:  y = -1 and y = -5.

statistical calculations are important in risk management and insurance because they help to quantify and model risk, predict future outcomes, and manage risk effectively.

Variance is important in risk management and insurance because it helps to assess the volatility or fluctuation of returns, which is important in determining how much risk an individual or company is willing to take. Random Variable :Random variables are essential in risk management because they help to determine the probability of specific outcomes. This is particularly important for insurance companies that need to calculate premiums and manage risk on behalf of policyholders .Expected Value: Expected value is critical to risk management because it helps to calculate the average outcome of an event over a large number of trials. This helps to predict future outcomes and manage risk. Probability Distributions :Probability distributions are important in insurance and risk management because they help to quantify and model the likelihood of different outcomes and events. This is critical in assessing and managing risk. Standard Deviation :Standard deviation is important in risk management because it helps to measure the amount of variability or dispersion of data around the mean or expected value. This is important in determining the level of risk associated with an investment or policy decision .

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The period of the function is 1.57 s.

The amplitude of the function is 6.

The equation of the midline, y = 6 sin 4x + 0.

The general form of a sinusoidal function is y = A sin(Bx - C) + D,

where:

For the given function y = 6 sin 4x, we can see that:

A = 6 (the amplitude is the absolute value of the coefficient of the sine function)

B = 4 (the coefficient of x inside the sine function determines the period)

C = 0 (there is no horizontal shift)

D = 0 (there is no vertical shift, so the midline is the x-axis)

Therefore, the period T is given by:

T = 2π/B = 2π/4 = π/2 = 1.57 s

The midline is the x-axis, so its equation is y = 0.

The amplitude is A = 6.

Therefore, we can write the equation of the function in the general form as:

y = 6 sin 4x + 0

or

y = 6 sin(4x)

Note that since the midline is the x-axis and there is no vertical shift, the sine function will oscillate between -6 and 6.

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Answer:

5,752÷7 is 821.714285714...

This is a nonterminating repetend decimal

Answer:

S = 3

S = 5

S = 7

S = 9

Step-by-step explanation:

t = 3s + 2

when t = 11

11 = 3s + 2

11 – 2 = 3s

9 = 3s

s = 3

t = 3s + 2

when t = 17

17 = 3s + 2

17 – 2 = 3s

15 = 3s

s = 5

t = 3s + 2

when t = 23

23 = 3s + 2

23 – 2 = 3s

21 = 3s

s = 7

t = 3s + 2

when t = 29

29 = 3s + 2

29 – 2 = 3s

27 = 3s

s = 9

I HOPE ALL THIS HELPS

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the number of arrangements if a and m come in a unit is 720.

What is the combination?

A combination is a choice made in mathematics from a group of different elements when the order of the choices is irrelevant (unlike permutations). For instance, if three fruits, such as an apple, an orange, and a pear, are supplied, there are three possible pairings of the two: an apple and a pear. Formally speaking, a k-combination of a set S is a subset of S's k unique components. In other words, two combinations are the same if and only if they have the same members. (It is not important how the individuals in each set are arranged.) The number of k-combinations for a set with n components

The word is the mailbox.

So it contains 7 words and the total number of arrangements will be 7! = 5040.

And if a and m comes in a unit then: the number of the arrangements will be 6! = 720.

Hence the number of arrangements if a and m come in a unit is 720.

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The expression "x - y + z" can be simplified and rearranged using the associative property and commutative property of addition. Let's break it down step by step:

1. x - y + z

According to the associative property of addition, the grouping of terms does not affect the result when only addition and subtraction are involved. Therefore, we can choose to group "y" and "z" together:

2. x + (-y + z)

Next, using the commutative property of addition, we can rearrange the terms "-y + z" as "z + (-y)":

3. x + (z + (-y))

Now, we have the expression "x + (z + (-y))". According to the associative property of addition, we can group "x" and "z + (-y)" together:

4. (x + z) + (-y)

Finally, we can rewrite the expression as "(x + z) - y", which is equivalent to "(x - y) + z":

5. (x + z) + (-y) = (x - y) + z

Therefore, "x - y + z" is indeed the same as both "x - (y + z)" and "(x - y) + z" due to the associative and commutative properties of addition.

Answer:

60%

Step-by-step explanation:

100 ÷ 5 = 20

20 × 3 = 60

60 = 60%

I hope this helps

Answer:

12

Step-by-step explanation:

Use pythag to solve.

x^2+5^2=13^2

x=12

Answer:

Independent variable = number of bub (b)

Dependent variable = total cost (c)

Equation: c = $1.25b + $10

Timothy would spend: $20

Step-by-step explanation:

Total cost = c

Number of bub = b

✔️Total cost, c, is dependent on the number of bub, b.

Therefore:

Independent variable = number of bub (b)

Dependent variable = total cost (c)

✔️Equation that describes this situation can be written as:

c = $1.25b + $10

✔️If Timorhy buys 8 bubs, he would spend the following:

Substitute b = 8 into c = $1.25b + $10, and solve for c.

c = $1.25(8) + $10

c = $10 + $10

c = $20

The slope of the line y = - 4x + 10 is -4.

The slope of any line can be calculated using any two distinct points lying on the line. It is defined as the change in y coordinate with respect to the change in x coordinate of that line.

The net change in y coordinate is Δy, while the net change in the x coordinate is Δx, then the slope

                    m = Δy/Δx = dy/dx.

Here, we are given the line y = - 4x + 10

Differentiating the equation of line with respect to x, we get

                  dy/dx = - 4

⇒ slope m = dy/dx = -4.

Therefore, the slope of the line was found to be -4.

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NOTE : The question given here is not complete. The complete question is given below.

Question: What is the slope of y = - 4x + 10?.