Answers
Answer:
C. 62°
Step-by-step explanation:
RQ equal to TQ
so <PQT = 90° - x
90° - 28°
=62°
i hope that is the answer
Answer:
62 degrees
Step-by-step explanation:
We know that TQ is 180 degrees, and that it's tangent, meaning the line, RQ, is perpendicular to TQ, meaning that each angle is 90 degrees.
We also know that x=28 degrees, we can write an equation:
90-28=62
So, PQT is 62 degrees.
Hope this helps! :)
Related Questions
the area of a right angled triangle below is 23.66 cm what is the size of angle y
Answers
The size of the angle y as required to be determined in the task content is; 60°.
What is the side of the angle y as required?As evident in the task content, the base of the triangle is; 9.1 cm.
Recall the area of a right triangle is; A = bh / 2
Therefore, to determine the height h given an area of 23.66 cm²; we have that;
23.66 = 9.1h / 2
h = (2 × 23.66) / 9.1
h = 5.2 cm.
Ultimately, to determine the size of y from trigonometric ratios;
tan y = 9.1 / 5.2
y = tan-¹ (9.1/5.2)
y = 60° to the nearest integer.
Ultimately, the size of the angle y as required in the task content is; 60°.
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Divide (18x^3+9x^2)/(3x)
Answers
Answer:
6x^2 + 3x
Step-by-step explanation:
Dividing (18x3+9x2)/(3x) gives
The table shows data from a survey asking people what type of writing instrument they like. What is the percent probability that a person likes blue pens? Black pens? Pencils? Estimate the number of people who would say they like pencils or black pens in a survey of 400 people. Writing Instrument Number of People Blue pens 75 Black pens 112 Pencils 63 Question content area bottom Part 1 P(blue pens)= enter your response here%
Answers
The percent probability that a person likes blue pens is approximately 18.75%.
In a survey of 400 people, an estimated 175 people would say they like pencils or black pens.
To find the percent probability that a person likes blue pens, we need to calculate the proportion of people who like blue pens out of the total number of people surveyed.
Given that the number of people who like blue pens is 75 and the total number of people surveyed is 400, we can calculate the percent probability as follows:
P(blue pens) = (Number of people who like blue pens / Total number of people surveyed) * 100
P(blue pens) = (75 / 400) * 100
P(blue pens) ≈ 18.75%
To estimate the number of people who would say they like pencils or black pens in a survey of 400 people, we need to add the number of people who like pencils and the number of people who like black pens.
Number of people who like pencils or black pens = Number of people who like pencils + Number of people who like black pens
Number of people who like pencils or black pens = 63 + 112
Number of people who like pencils or black pens = 175
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A ball is kicked upward with an initial velocity of 64 feet per second. the ball's height, h (in feet), from the ground is modeled by h=-16t^2+64t, where t is measured in seconds. what is the practical domain in this situation?
Answers
Answer: The practical domain of a mathematical model represents the set of values for which the model is applicable or makes sense in the real world. In this case, the practical domain of the ball's height model h=-16t^2+64t is limited by the physical constraints of the situation.
Since the ball is kicked upward, the height of the ball cannot be negative. Therefore, the practical domain for the height model is restricted to values of t that result in non-negative heights.
We can find the values of t that correspond to when the ball is on the ground by setting h=0 and solving for t:
0 = -16t^2 + 64t
0 = t(-16t + 64)
t = 0 or t = 4
The ball is on the ground at the start of the motion (t=0) and again after 4 seconds. Therefore, the practical domain for the height model is 0 ≤ t ≤ 4, since the ball is in the air during this time and the height model is applicable.
In summary, the practical domain of the height model h=-16t^2+64t is 0 ≤ t ≤ 4.
If you deposit $250 each much how much will you have towards the purchase of a boat after three years with an apr of 8. 4%
Answers
After three years with a monthly deposit of $250 and an APR of 8.4%, you will have approximately $10,093.46 towards the purchase of a boat.
To calculate the amount you will have towards the purchase of a boat after three years with an APR (Annual Percentage Rate) of 8.4% and monthly deposits of $250, we can use the formula for the future value of a series of regular deposits:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value of the deposits
P is the monthly deposit amount ($250)
r is the monthly interest rate (8.4% / 12 = 0.007)
n is the number of periods (3 years * 12 months = 36)
Let's calculate the future value:
FV = $250 * [(1 + 0.007)^36 - 1] / 0.007
FV ≈ $10,093.46
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For what values of h is b in the plane spanned by a1 and a2?
a1=(1; 0; -h) a2=(0; 1; 2) b=(h; -1; 3h)
2
-1
-2
0
Answers
The b is in the plane spanned by a1 and a2 for h = ±1. For any other value of h, b is not in the plane spanned by a1 and a2.
To determine for what values of h is b in the plane spanned by a1 and a2.
We need to check if b can be written as a linear combination of a1 and a2.
If b can be written as a linear combination of a1 and a2 then it is in the plane spanned by a1 and a2.
Otherwise,
It is not in the plane.
We can write the equation for a plane using a point on the plane and the normal vector to the plane.
Since a1 and a2 are in the plane, we can find the normal vector by taking the cross product of a1 and a2:
n = a1 x a2
n = <0 -h 1> x <1 0 -h>
n = <-h -1 0>
So, the equation for the plane spanned by a1 and a2 is:
-h(x) - y = 0
We can substitute b = (h, -1, 3h) into this equation and see if it satisfies the equation.
-h(h) - (-1) = 0
-[tex]h^2[/tex] + 1 = 0
[tex]h^2[/tex] = 1
h = ±1
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How much money was deposited if 5800 was returned in four years at the rate of 4% simple interest per annum?
Answers
The solution is :
The sum of money deposited is approximately $22,021.74
Here, we have,
The given interest and amounts of the deposit are outlined as follows;
The simple interest per annum, R = 0.325%
The number of years the money is deposited, T = 4 years
The total amount received (Interest + Initial deposit), A = $50,650
We have;
I = P × R × T
Where;
P = The principal (initial amount deposited)
R = The (annual) interest rate = 0.325%
T = The time = 4 years
Therefore;
The total amount received, A = P + I
P + I = P + P × R × T = P × (1 + R × T)
∴ A = P + I = P × (1 + R × T)
P = A/(1 + R × T)
Plugging in the values, gives;
P = 50,650/(1 + 0.325 × 4) = 506,500/23 ≈ 22,021.74
The sum of money deposited, P = $22,021.74
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complete question:
A sum of money is deposited in a bank which offers a simple interest rate of 0.325% per annum. At
the end of the 4 years, the total amount receives is $50 650. Find the sum of money deposited.
Which table shows a relationship between x and y, where y is always equal to 8 less than the product of x and 3?
Answers
Table 3 shows a relationship between x and y, where y is always equal to 8 less than the product of x and 3.
We are given that y is always equal to 8 less than the product of x and 3, which can be written as y = 3x - 8. We can create a table of values for x and y using this equation.
Table 1:
+x y
1 -5
2 -2
3 1
4 4
5 7
Table 2:
x y
1 -7
2 -4
3 -1
4 2
5 5
Table 3:
x y
1 -5
2 1
3 7
4 13
5 19
Checking each table, we can see that only Table 3 satisfies the condition that y is always equal to 8 less than the product of x and 3. Therefore, Table 3 shows the relationship between x and y as given in the question.
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Which table shows a relationship between x and y, where y is always equal to 8 less than the product of x and 3?
Josi Industries purchases $110,000 of machinery on January 1, 2021. The machinery is expected to have a 5-year useful life and a residual value of $10,000. On January 1, 2024, management determines that the equipment will last for an additional 2 years and the new residual value is $6,000. Josi uses straight-line depreciation and has a calendar year-end. Instructions
Calculate the depreciation expense related to this piece of machinery for each year from 2021 to 2024 and determine the carrying value of the machinery on December 31, 2024. Please show details of concepts used and how concepts are applied
Answers
The carrying value of the machinery on December 31, 2024, is $34,285.71.
We have,
Depreciation expense per year = (Cost - Residual value) / Useful life
Where:
Cost = $110,000
Residual value = $10,000 (in 2021) and $6,000 (in 2024)
Useful life = 5 years (in 2021) and 7 years (in 2024)
Now,
We can calculate the depreciation expense for each year as follows:
Year 2021:
Depreciation expense = ($110,000 - $10,000) / 5 = $20,000
Year 2022:
Depreciation expense = ($110,000 - $10,000) / 5 = $20,000
Year 2023:
Depreciation expense = ($110,000 - $10,000) / 5 = $20,000
Year 2024:
Depreciation expense = ($110,000 - $6,000) / 7 = $15,714.29
To determine the carrying value of the machinery on December 31, 2024, we need to subtract the total depreciation expense from the cost of the machinery:
Carrying value on December 31, 2024.
= Cost - Total depreciation expense
= $110,000 - ($20,000 + $20,000 + $20,000 + $15,714.29)
= $34,285.71
Therefore,
The carrying value of the machinery on December 31, 2024, is $34,285.71.
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PLSSSSS! HELPPPPPPP!
What is the measure of the unknown angle? (2 points)
Image of a full circle divided into two angles. One angle is one hundred twenty degrees and the other is unknown
a
210°
b
220°
c
230°
d
240°
Answers
Answer: subtract the known angle from 180° and then divide by 2.Aug 17, 2020
Step-by-step explanation:
Hope this helps! If not I am so sorry!
____ : referring to the fact that the distance between two or more points is equal.
Answers
The term that refers to the fact that the distance between two or more points is equal is "equidistant".
In geometry, the concept of equidistance is important when dealing with circles, which are sets of points that are equidistant from a single point called the center. This property is what allows circles to be defined in terms of their radius, which is the distance between the center and any point on the circle.
Equidistance is also important in other areas of mathematics and science. For example, in physics, equidistant points can be used to define a plane or surface that is perpendicular to a given line or axis. This is useful in many applications, such as designing electronic circuit boards or constructing buildings.
The concept of equidistance is not limited to mathematics and science, however. It can also be applied in everyday life. For instance, if you are planning a road trip and want to visit several destinations that are equidistant from your starting point, you can use this information to help plan your route and estimate your travel time.
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Let f be the function given by f(x)= kx/x^2+1, where k is a constant. For what values of k, if any, is f strictly decreasing on the interval (-1, 1)?
A. k<0
B. k= 0
C. k>0
D. k>1 only
E. There are no such values of k
Answers
The answer is (A) k < 0. When k is negative, f'(x) is negative on (-1,1), which means that f(x) is strictly decreasing on (-1,1). The correct answer is option a.
To determine for what values of k the function [tex]f(x) = kx/(x^2+1)[/tex]is strictly decreasing on the interval (-1, 1), we need to find the first derivative of f(x) and then examine its sign.
We have:
[tex]f(x) = kx/(x^2+1)\\f'(x) = (k(x^2+1) - kx(2x))/(x^2+1)^2\\f'(x) = k(1-x^2)/(x^2+1)^2[/tex]
To determine when f(x) is strictly decreasing on (-1,1), we need f'(x) to be negative on that interval. Therefore, we need [tex](1-x^2)/(x^2+1)^2[/tex] to be negative on (-1,1).
Note that [tex](1-x^2)[/tex] is always non-negative on the interval (-1,1), so for f'(x) to be negative, we need [tex](x^2+1)^2[/tex] to be positive. Since [tex](x^2+1)^2[/tex] is always positive, we can conclude that f'(x) is negative on the interval (-1,1) if and only if k < 0.
Therefore, the answer is (A) k < 0. When k is negative, f'(x) is negative on (-1,1), which means that f(x) is strictly decreasing on (-1,1). When k is zero or positive, f'(x) is zero or positive on (-1,1), respectively, which means that f(x) is not strictly decreasing on (-1,1).
The correct answer is option a.
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I'm stuck on this question
Answers
Answer:
Domain: [1,3]
Range: [0.5,1.5]
Step-by-step explanation:
Domain: x-values
Range: y-values
I need help with writing this equation in vertex form.
Answers
The vertex form of the quadratic equation is y = 4*(x - 3/2)^2 - 1
How to find the vertex form of the quadratic?For a quadratic equation:
y = ax^2 + bx + c
The x-value of the vertex is:
h = -b/2a
And if the vertex is (h, k), we can write the vertex form as:
y = a*(x - h)^2 + k
Here we have.
y = 4x^2 - 12x + 8
The vertex is at:
h = 12/(2*4) = 12/8 = 3/2
Evaluating in that value, we will get:
k = 4*(3/2)^2 - 12*(3/2) + 8
k = 9 - 18 + 8 = -1
So the vertex is (3/2, -1), and the vertex form is:
y = 4*(x - 3/2)^2 - 1
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You are getting ready to open The Shoe Hut, but you need to need to determine whether you have the absolute or comparative advantage in the production of specific items. This will help you determine which product is the best for specialization.
Your production possibilities are as follows:
• You have the resources to produce up to 15 running shoe inserts.
• You have the resources to produce up to 10 hiking boot inserts.
• For every 2 hiking boot inserts produced, you give up the production of 3 running shoe inserts.
Your production possibilities schedule will help you determine:
• your opportunity costs.
• your best options for production.
1. Using the information that you learned about your ability to produce running shoe inserts and hiking boot inserts, complete your production possibilities schedule. (5 points)
2. Use the information from your production possibilities schedule to create your production possibilities curve by filling in the following graph. Use textboxes to insert text, and use lines and circles from the shapes function to illustrate your production possibilities. Be sure to mark points A through F on the graph. (5 points)
3. Based on the data within your schedule and curve, are you using your resources efficiently? Support your answer using the data presented. (5 points)
4. Based on the information you used to create your schedule and curve, which product would you recommend the Shoe Hut focus on, and why? Provide details that support your answer. (5 points)
Answers
| Running Shoe Inserts | Hiking Boot Inserts |
|----------------------|---------------------|
| 15 | 0 |
| 12 | 2 |
| 9 | 4 |
| 6 | 6 |
| 3 | 8 |
| 0 | 10 |
2. Production Possibilities Curve:
[Inserting textboxes and shapes to illustrate the curve]
A: 15 running shoe inserts, 0 hiking boot inserts
B: 12 running shoe inserts, 2 hiking boot inserts
C: 9 running shoe inserts, 4 hiking boot inserts
D: 6 running shoe inserts, 6 hiking boot inserts
E: 3 running shoe inserts, 8 hiking boot inserts
F: 0 running shoe inserts, 10 hiking boot inserts
3. Yes, the resources are being used efficiently. The production possibilities curve shows that the Shoe Hut is producing at the maximum level of output for the given resources. Any point on the curve represents the most efficient use of resources, and the Shoe Hut is producing at one of those points.
4. Based on the information presented, I would recommend that the Shoe Hut focus on producing running shoe inserts. This is because the opportunity cost of producing hiking boot inserts is higher than the opportunity cost of producing running shoe inserts. For every 2 hiking boot inserts produced, the Shoe Hut gives up the production of 3 running shoe inserts. This means that the Shoe Hut has a comparative advantage in producing running shoe inserts. Additionally, the production possibilities curve shows that the Shoe Hut can produce up to 15 running shoe inserts, but only 10 hiking boot inserts. This further supports the recommendation to focus on running shoe inserts.
Joe had been saving up all of his tickets from his day at the amusement park. He used ⅗ of them on a stuffed bear for his sister. He then had 96 tickets left to use. How many tickets did Joe win at the park?
Answers
The total number of tickets that Joe win at the park is 240 if the fraction of 3/ is used.
Given that,
Joe had been saving up all of his tickets from his day at the amusement park.
Let x be the total number of tickets he saved.
He used a fraction of ⅗ of them on a stuffed bear for his sister.
x - (3/5 x) = 96
2/5 x = 96
Multiplying both sides by 5/2, we get,
x = 96 × 5/2
x = 240
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There is a 7% chance that a band’s lead singer’s voice isn’t working due to illness on any given Saturday. This band has played 19 Saturday gigs so far this year, and at each of these the lead singer’s voice has been fine. What is the probability that the lead singer’s voice will be fine at the band’s next Saturday gig, which is 2 weeks from now? Assume she never is sick for more than 6 consecutive days, and the interval between bouts of illness is inherently unpredictable. Hint: You DO have enough information to provide a numerical answer for this question; in other words, "Not enough information" is incorrect
Answers
The probability of her voice being fine at the next gig is 0.93 or approximately 93%.
The probability of the lead singer’s voice being fine on any given Saturday is 1 - 0.07 = 0.93, since the chance of her voice not working is 7%. This means that the probability of her voice being fine at each of the 19 gigs played so far this year is 0.93^19 = 0.281, as each gig is an independent event.
Now, the probability of her voice being fine at the next Saturday gig, which is 2 weeks from now, is also 0.93, since each gig is independent of the others. This is because the interval between bouts of illness is inherently unpredictable and the lead singer's voice has been fine at all the gigs played so far this year. Therefore, the probability of her voice being fine at the next gig is 0.93 or approximately 93%.
It is important to note that although the lead singer's voice has been fine at all the gigs played so far this year, this does not guarantee that her voice will be fine at the next gig. Each gig is an independent event and the probability of her voice being fine is the same for each gig. However, based on the information given, we can calculate that the probability of her voice being fine at the next gig is 0.93 or approximately 93%.
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Implication (p â q) consists of a pair of sentences separated by the â operator true or false
Answers
The implication (p â q) is a logical statement that consists of a pair of sentences, where p represents the antecedent and q represents the consequent.
These two sentences are connected by the a operator, which means "if...then." The implication is considered true if the antecedent is true and the consequent is also true, or if the antecedent is false. However, it is false only when the antecedent is true and the consequent is false. Therefore, the truth value of the implication depends on the truth value of its two component sentences.
True, the Implication (p → q) consists of a pair of sentences separated by the → operator. In this context, p and q represent two different sentences, and the → operator signifies that if p is true, then q must also be true. This is also known as a conditional statement.
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HOWW? PLEASE SOMEONE EXPLAIN THIS TO ME THIS IS MEANT TO BE EASY MATHS!
Answers
HELPPP math question
Answers
The number of t shirts she sell is 4 when her income is $205.
The given equation is I=100+12J+5T+7S+5H-8M
Where I is her income
J is the number of jeans she sell
T is the number of T shirts she sell
S is the number of shorts she sell
H is the number of hats she sell
M is the number of meals she buy
If emma makes $205 in a week by selling 6 number of jeans, 4 shorts, 5 hats and buy 5 meals
We have to find number of t shirts she sell
205 = 100+ 12(6)+5T+7(4)+5(5)-8(5)
205=100+72+5T+28+25-40
205=185+5T
205-185=5T
20=5T
4=T
Hence, the number of t shirts she sell is 4 when her income is $205.
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The major assumption in factor analysis (but not PCA)
Answers
The major assumption in factor analysis (but not PCA) is that the observed variables are caused by a smaller number of underlying, unobserved (latent) variables, which are called factors.
Factor analysis and principal component analysis (PCA) are both techniques used for data reduction and dimensionality reduction. However, they differ in their assumptions and goals.
In factor analysis, the focus is on identifying the underlying latent variables (called factors) that explain the observed correlations among a set of variables. The major assumption in factor analysis is that the observed variables are caused by a smaller number of underlying factors. These factors cannot be directly measured, but are inferred from patterns of correlations among the observed variables. The goal of factor analysis is to extract these factors and to estimate how much each factor contributes to each observed variable.
In contrast, PCA is a technique that focuses on finding a linear combination of the original variables that explain the maximum amount of variance in the data. The major assumption in PCA is that the observed variables are not caused by any underlying factors, but are simply linearly related to each other. The goal of PCA is to find a set of orthogonal (uncorrelated) principal components that capture the maximum amount of variance in the data.
Therefore, the major assumption in factor analysis (but not PCA) is that there are underlying latent variables (factors) that cause the observed correlations among the variables.
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Using the definitions of sine and cosine on a right triangle, explain why each point (x, y) on the unit circle can be written as (cosθ, sinθ).
Answers
Any point on the unit circle may be expressed as (cos, sin), which denotes the angle formed between the radius of the point and the positive x-axis.
In a right triangle, the sine of an angle is defined as the length of the side opposite the angle divided by the length of the hypotenuse, and the cosine of an angle is defined as the length of the adjacent side divided by the length of the hypotenuse.
By definition, the cosine of θ is x (the length of the adjacent side) divided by 1 (the length of the hypotenuse), or simply x/1, which is just x. Similarly, the sine of θ is y (the length of the opposite side) divided by 1 (the length of the hypotenuse), or simply y/1, which is just y.
So we have shown that, for any point (x, y) on the unit circle, the cosine of the angle θ between the positive x-axis and the radius to the point is equal to x, and the sine of θ is equal to y.
Therefore, we can write any point on the unit circle as (cosθ, sinθ), where θ is the angle between the positive x-axis and the radius of the point.
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What's the Correlation (Strong vs. Weak and Pos. vs. Neg.)
Answers
Correlation refers to the statistical relationship between two or more variables. A strong correlation means that there is a significant association between the variables, while a weak correlation suggests that there is little to no relationship between them.
Additionally, correlations can be either positive or negative. A positive correlation means that as one variable increases, so does the other, while a negative correlation means that as one variable increases, the other decreases.
To determine the strength and direction of a correlation, one can use a correlation coefficient. This measure ranges from -1 to +1, with -1 indicating a perfect negative correlation, 0 indicating no correlation, and +1 indicating a perfect positive correlation. When the correlation coefficient is close to -1 or +1, this suggests a strong correlation, while coefficients closer to 0 indicate a weaker correlation.
Overall, understanding the correlation between variables is essential for analyzing data and making informed decisions. By recognizing the strength and direction of a correlation, one can gain insights into the relationships between different variables and how they impact one another.
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The walls of the school gym are being repainted. the gym is 50 feet long, 25 feet wide, and 16 feet high. each wall will receive 2 coats of paint. if one gallon of paint covers 400 square feet, how many gallons are required?
Answers
The total surface area of all four walls is 2,400 square feet. 12 gallons of paint to cover the walls of the gym with two coats.
To calculate the number of gallons of paint required, we need to determine the total surface area of the walls that need to be painted and then divide by the coverage of one gallon of paint. Since each wall will receive two coats of paint, we need to double the surface area before dividing by the coverage of one gallon of paint.
The total surface area of the walls can be found by adding the area of all four walls:
The front and back walls each have an area of 50 feet (length) x 16 feet (height) = 800 square feet.
The two side walls each have an area of 25 feet (width) x 16 feet (height) = 400 square feet.
The total surface area of all four walls is 2 x (800 + 400) = 2,400 square feet.
To account for two coats of paint, we need to double the surface area to 4,800 square feet.
Finally, we divide the total surface area by the coverage of one gallon of paint, which is 400 square feet:
4,800 square feet ÷ 400 square feet/gallon = 12 gallons
Therefore, we need 12 gallons of paint to cover the walls of the gym with two coats.
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Which diagram shows how Eliza should cut the parallelogram?
Answers
Answer:
A
Step-by-step explanation:
PLAto
A motorboat travels 315 kilometers in 5 hours going upstream and 623 kilometers in 7 hours going downstream. What is the rate of the boat in still water and what is the rate of the current? HELPP ASAP
Answers
When the boat is traveling upstream (against the current), its effective speed is slower, so we can use the formula:
distance = rate x time
to set up the equation:
315 = (b - c) x 5
Simplifying this equation:
b - c = 63
Similarly, when the boat is traveling downstream (with the current), its effective speed is faster, so we can use the same formula:
623 = (b + c) x 7
Simplifying this equation:
b + c = 89
Now we have two equations:
b - c = 63
b + c = 89
We can solve for "b" (the rate of the boat in still water) by adding these two equations:
2b = 152
b = 76
So the rate of the boat in still water is 76 km/h.
We can solve for "c" (the rate of the current) by substituting the value of "b" into one of the equations:
76 + c = 89
c = 13
So the rate of the current is 13 km/h.
Let's denote the rate of the boat in still water by "b" and the rate of the current by "c".
When the boat is traveling upstream (against the current), its effective speed is b - c. When it is traveling downstream (with the current), its effective speed is b + c.
We can use the following two equations based on the distance, speed and time relationship:
1. Distance = Speed x Time
2. Speed = Distance / Time
Using these equations, we can write two equations based on the given information:
1. (b - c) x 5 = 315 (Upstream journey)
2. (b + c) x 7 = 623 (Downstream journey)
Simplifying these equations, we get:
1. 5b - 5c = 315
2. 7b + 7c = 623
Dividing both sides of equation 1 by 5, we get:
b - c = 63
Adding equation 1 and equation 2, we get:
12b = 938
Dividing both sides by 12, we get:
b = 78.17 km/h
Substituting b = 78.17 in equation 1, we get:
78.17 - c = 63
Solving for c, we get:
c = 15.17 km/h
Therefore, the rate of the boat in still water is 78.17 km/h and the rate of the current is 15.17 km/h.
What is the domain of the function shown in the graph below?
Answers
Answer:
(-2, ∞)
Step-by-step explanation:
The domain of a function is how far the x goes left and right.
We see the x starts at -2 and goes forever.
So, the Domain of the function is (-2, ∞)
x^2 − 36 ---- (x − 6)(x + 6)
9x^2 − 1 ------ (3x − 1)(3x + 1)
4x^2 − 16 ------ 4(x + 2)(x − 2)
Pairs
Find the product of each expression using properties of complex numbers.
Answers
Answer: I put all of this together and it took a while but I think the answer is 45x to the power of 4 - 323x to the power of 2 - 69
Step-by-step explanation: I honestly don't know if this was what was being asked though, if not I'll include something else. I was really confuse by this... I'm sorry.
12. A risk manager has completed a risk analysis for an asset valued at $4000. Two threats were identified; the ALE for one threat is $400, and the ALE for the second threat is $500. What is the amount of loss that the organization should estimate for an entire year?
a. $450 b. $500 c. $900 d. $100
Answers
The options provided, but it is closest to option C ($900). The Annualized Loss Expectancy (ALE) for each threat by multiplying the probability of occurrence by the cost of the loss. However, we are not given the probability of occurrence for each threat, so we cannot calculate the ALE.
Instead, we can use a simplified formula to estimate the amount of loss that the organization should expect for an entire year. This formula is:
Annual Loss = Single Loss Expectancy x Annual Frequency of Occurrence
To calculate the Single Loss Expectancy (SLE), we add up the ALE for each threat:
SLE = ALE threat 1 + ALE threat 2
SLE = $400 + $500
SLE = $900
The Annual Frequency of Occurrence is the number of times the loss is expected to occur in a year. We are not given this information, but we can make an assumption based on the available data.
Assuming that each threat has an equal chance of occurring, the Annual Frequency of Occurrence would be:
Annual Frequency of Occurrence = Total Threats / Total Time
Annual Frequency of Occurrence = 2 / 1 (assuming one year)
Annual Frequency of Occurrence = 2
Now we can calculate the Annual Loss:
Annual Loss = SLE x Annual Frequency of Occurrence
Annual Loss = $900 x 2
Annual Loss = $1800
Therefore, the amount of loss that the organization should estimate for an entire year is $1800. The correct answer is not given in the options provided, but it is closest to option C ($900).
learn more about Annualized Loss Expectancy here: brainly.com/question/13136336
# SPJ11
Tyler has 3 times as many books as Mai.
a. How many books does Mai have if Tyler has:
i.15 books?
ii. 21 books?
iii. x books?
Answers
ii. 7 books
iii. X/3 books
