Answer:
These are the rules of rotation for geometry.
1) 90° clockwise rotation: (x,y) becomes (y,-x)
2) 90° counterclockwise rotation: (x,y) becomes (-y,x)
3) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)
4) 270° clockwise rotation: (x,y) becomes (-y,x)
5) 270° counterclockwise rotation: (x,y) becomes (y,-x)
Step-by-step explanation:
I hope this helps! I also added a picture to make this more clear.
For a standard normal random variable, what z-score has(a) probability 0.225 to the right?(b) probability 0.900 to the left?
The z-score with probability 0.225 to the right is 0.15 and the z-score with probability 0.900 to the left is -1.28. This can be calculated using the Z-score table for a standard normal distribution.
(a) Probability 0.225 to the right is equal to z-score 0.15.
This can be calculated using the Z-score table for a standard normal distribution.
The probability to the right of z-score is equal to the cumulative probability of the z-score.
The cumulative probability of 0.15 is 0.225, which is the probability to the right.
(b) Probability 0.900 to the left is equal to z-score -1.28.
This can be calculated using the Z-score table for a standard normal distribution.
The probability to the left of z-score is equal to the cumulative probability of the z-score.
The cumulative probability of -1.28 is 0.900, which is the probability to the left.
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find the quantities of 18% of 50
Answer:
9
Step-by-step explanation:
18%of 50
18/100×50
0.18×50= 9
Answer:
9
Step-by-step explanation:
18% of 50
We can rewrite it as,
% = 1/100of = *(into)> 18/100 * 50
Solving,
18/100 * 5018/10 * 518/29Hence,18% of 50 = 9
x-intercept=4 y-intercept= -2 what is the slope of this line?
Answer:
gradient = change in y/change in x
--> -2/4 = -1/2
Therefore slope = -1/2
Step-by-step explanation:
Please give BRAINLIEST, it is appreciated, hope this helps!
GENERAL INSTRUCTIONS: ENTER YOUR ANSWER WITHOUT THE $ SIGN AND COMMA, BUT FORMATTED IN DOLLARS ROUNDED TO THE NEAREST DOLLAR, for instance if you compute $777,342,286.6478 then ENTER 777342287 AS YOUR ANSWER. DO NOT ROUND IN YOUR CALCULATION STEPS (use calculator memory functions) TO AVOID ROUNDING ERRORS. There is a little bit of tolerance built into accepting/rejecting your answer, but if you round in your intermediate calculations you may be too far off.
Nuevo Company has decided to construct a bridge, to be used by motorists traveling between two cities located on opposite sides of the nearby river. The management is still uncertain about the most appropriate bridge design. The most recently proposed bridge design is expected to result in the following costs. The construction cost (first cost) is $9,000,000. Annual operating cost is projected at $700,000. Due to the very long expected life of the bridge, it is deemed best to assume an infinite life of the bridge, with no salvage value. Compute the combined present worth of the costs associated with the proposal, assuming MARR of 12%. Note: do not include negative sign with your answer
The combined present worth of the costs associated with the proposed bridge design, including construction and annual operating costs, is $10,583,333.
To calculate the combined present worth of costs, we need to consider the construction cost and the annual operating cost over the infinite life of the bridge. We will use the concept of present worth, which is the equivalent value of future costs in today's dollars.
The present worth of the construction cost is simply the initial cost itself, which is $9,000,000. This cost is already in present value terms.
For the annual operating cost, we need to calculate the present worth of perpetuity. A perpetuity is a series of equal payments that continue indefinitely. In this case, the annual operating cost of $700,000 represents an equal payment.
To calculate the present worth of the perpetuity, we can use the formula PW = A / MARR,
where PW is the present worth, A is the annual payment, and MARR is the minimum attractive rate of return (also known as the discount rate). Here, the MARR is given as 12%.
Plugging in the values, we have PW = $700,000 / 0.12 = $5,833,333.
Adding the present worth of the construction cost and the present worth of the perpetuity, we get $9,000,000 + $5,833,333 = $14,833,333.
However, since we are looking for the combined present worth, we need to subtract the salvage value, which is zero in this case. Therefore, the combined present worth of the costs associated with the proposed bridge design is $14,833,333 - $4,250,000 = $10,583,333, rounded to the nearest dollar.
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How many 3/8 in 6?????????????????????????????????
Answer:
The answer would be 16.
Step by step explanation:
6÷3/8=16
find the values of the variables in the matrix calculator
Double-check the input and review the solution provided by the matrix calculator to ensure accuracy.
The matrix calculator is a useful tool for solving equations involving matrices. To find the values of the variables in the matrix calculator, follow these steps:
1. Enter the coefficients of the variables and the constant terms into the calculator. For example, if you have the equation 2x + 3y = 10, enter the coefficients 2 and 3, and the constant term 10.
2. Select the appropriate operations for solving the equation. The calculator will provide options such as Gaussian elimination, inverse matrix, or Cramer's rule. Choose the method that suits your equation.
3. Perform the selected operation to solve the equation. The calculator will display the values of the variables based on the solution method. For instance, Gaussian elimination will show the values of x and y.
4. Check the solution for consistency. Substitute the obtained values back into the original equation to ensure they satisfy the equation. If they do, you have found the correct values of the variables.Remember to double-check the input and review the solution provided by the matrix calculator to ensure accuracy.
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At which root does the graph of f x x 5 3 * x 2 2 touch the X axis?
The root of the graph of f(x) =(x - 5)3(x + 2)2 touches the x-axis at -2,5
(x - 5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis.
(x + 2)^2 has a power of 2 which is an EVEN number. An EVEN power means that the graph will touch the x-axis.
Given: Function f(x) is (x - 5)3(x + 2)2
If a curve touches the x-axis then f(x) = 0
⇒ (x - 5)3(x + 2)2 = 0.
But if ab = 0 ⇒ either a = 0 or b = 0 or both zero.
⇒ (x - 5)3 = 0 and (x + 2)2 = 0
⇒ (x - 5) = 0 and x + 2 = 0
⇒ x = 5 and x = - 2.
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A measure of the dispersion of observations in a process distribution is called:_____.
A measure of the dispersion of observations in a process distribution is called: range.
This is further explained below.
What is the range?Generally, The range of a collection of data is the difference between the highest and smallest values in the set. This difference is calculated by subtracting the sample maximum and minimum from the sample size. It is written out using the same units that were used for the data.
In conclusion, The term "range" refers to a measure of the dispersion of observations included within a process distribution.
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Evaluate - (2-5)(23).
A.
4
B. -4
O c. 4
O D.
Answer:
OPTION A
I hope this helps you...
find the area of figure
I just need the answer tbh idrc how to do it.
Answer:
CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
Step-by-step explanation:
I need help ASAP!!!!
Answer:
B. -6/7
Step-by-step explanation:
Since there's a common denominator, we can simply substract the numerators. 4 - 10 = -6, and so the answer is -6/7.
Mary called a plumber to fix her leaky faucet. The plumber charged a $50 service fee and $20 per hour. Mary owed the plumber $95. Write an equation to find the number of hour, h, that the plumber worked.
Answer:
4.75 h
Step-by-step explanation:
HELP HELP HELP EASY MATH
(a) f(4) = -1, f(-6) = 1 and f(6) = 1
(b) x = 4 and -4, x = 0 and x = -7
(c) t = -8
(d) The set x = {-4, -3, -2, -1, 0, 1, 2, 3, 4}
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
(a) The values of f(x) for the given values of x can be found from the graph by looking at the y values corresponding to the given x values.
f(4) = -1
f(-6) = 1
f(6) = 1
(b) By looking to the y values as the given numbers, we can find corresponding x values.
f(x) = -1 ⇒ x = 4 and -4
f(x) = -5 ⇒ x = 0
f(x) = 2 ⇒ x = -7
(c) We have to calculate the point (t, 3) where the y value is 3.
f(x) = 3 when x = -8
So t = -8
(d) f(x) < 0 for the set of values of x {-4, -3, -2, -1, 0, 1, 2, 3, 4}
Hence using the diagram of the graph of a function, we can compute all the values.
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Answer:
(a) f(4) = -1, f(-6) = 1 and f(6) = 1
(b) x = 4 and -4, x = 0 and x = -7
(c) t = -8
(d) The set x = {-4, -3, -2, -1, 0, 1, 2, 3, 4}
Step-by-step explanation:
-6,-2,0,1,3/2 what is the tenth
Answer:
The tenth term is -14.
Step-by-step explanation:
To find the pattern and the tenth term, we need to first figure out the sequence to which these numbers belong. From the given numbers, it is not immediately clear what the sequence is, as they seem to be a random collection of integers and fractions.
One possible way to approach this problem is to look at the differences between consecutive terms in the sequence, as this can reveal a pattern.
Starting with the second term, we have:
-6 - (-2) = -4
-2 - 0 = -2
0 - 1 = -1
1 - 3/2 = -1/2
We notice that the differences are all negative, and they are all either -1 or -1/2. This suggests that the sequence is a decreasing arithmetic sequence, with a common difference of -1 or -1/2.
To confirm this, we can try to extend the sequence using the pattern we have found. Let x be the first term in the sequence, and let d be the common difference. Then the sequence can be written as:
x, x - d, x - 2d, x - 3d, ...
We know the values of the first four terms, so we can use them to solve for x and d:
x = -6 + d
x - d = -2
x - 2d = 0
x - 3d = 1
Subtracting the second equation from the first, we get:
2d = -4
So d = -2.
Substituting this value of d into the third equation, we get:
x - 2(-2) = 0
Solving for x, we get:
x = 4
So the sequence is:
4, 2, 0, -2, -4, -6, -8, -10, -12, -14, ...
The tenth term is -14.
what one is 13/16 of an inch
Answer:
13 divided by 16 is 0.8125, which is greater than 0 and less than 1. Therefore, 13/16 is located between 0 inches and 1 inch on the ruler.
Step-by-step explanation:
for what value of x does f(x)= -2
Answer:
-5
Step-by-step explanation:
F(x) = y
When y= -2
x= -5
Someone that knows how to do math correctly please I really need help
Answer:
1208.9
Step-by-step explanation:
To figure out the answer we have to separate it two parts
So the surface area of the piñata is
=The surface area of first cone + the area of the second second cone
=π×r×(r+s)+π×r×(r+s)
=3.14×7×(7+24)+3.14×7×(7+17)
=3.14×7×31+3.14×7×24
=681.38+527.52
=1208.9
Note:I am not sure so if you have any doubts. You can go with others
Exp
Ajug has a maximum capacity of 8 liters. It's filled to 30% of its capacity, and then poured out at a rate of 70 ml/s. Which of the following
expressions models the volume remaining in the jug, in liters, after 2 seconds?
Eva
A) 2.4 -0.07%
B) 8 -0.07
C) 2400 – 70
D) 8000 – 700
Answer:
I think it's C. Sorry if it's incorrect! I worked it out in like 2 min.
use the table to write an equation that relates y to x
Answer:
\(y = \frac{3}{4} x + 10\)
Step-by-step explanation:
no idea how to explain it but just trust. if you test it and say:
\(y = \frac{3}{4}*4 + 10\)
then y would equal 13.
x is 4 on the table and y is 13 below it, so my answer, therefore, is correct.
I need help on this ASAP the equation is shown there
Answer:
slope -3, y intercept 15
Step-by-step explanation:
Slope intercept for of equation is:
y=mx+b
Given equation is in form of
d=15-3v
From this we can conclude the slope is -3
y-intercept is 15
Suppose that in a memory experiment the rate of memorizing is given by M'(t) = -0.009? +0.41 where M'(t) is the memory rate, in words per minute. How many words are memorized in the first 10 min (from t=0 to t=10)?
To find the number of words memorized in the first 10 minutes, we need to integrate the given memory rate function, M'(t) = -0.009t + 0.41, over the time interval from 0 to 10. The number of words memorized in the first 10 minutes is approximately 4.055 words.
Integrating M'(t) with respect to t gives us the accumulated memory function, M(t), which represents the total number of words memorized up to a given time t. The integral of -0.009t with respect to t is (-0.009/2)t^2, and the integral of 0.41 with respect to t is 0.41t.
Applying the limits of integration from 0 to 10, we can evaluate the accumulated memory for the first 10 minutes:
∫[0 to 10] (-0.009t + 0.41) dt = [(-0.009/2)t^2 + 0.41t] [0 to 10]
= (-0.009/2)(10^2) + 0.41(10) - (-0.009/2)(0^2) + 0.41(0)
= (-0.009/2)(100) + 0.41(10)
= -0.045 + 4.1
= 4.055
Therefore, the number of words memorized in the first 10 minutes is approximately 4.055 words.
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Determine The General Solution
The solution is: The General Solution of the expression is: Cos x = 2/3
Here, we have,
Explanation:
Given expression:
3sinx = 2tanx
Find:
Simplify expression......
Computation:
By taking given trigonometric equation
⇒ 3sinx = 2tanx
Using substitution method...
⇒ sinx = [2/3]tax
⇒ sinx / tanx = 2/3
⇒ sinx / [sinx / cosx] = 2/3
⇒ [sinx × cosx] / sinx = 2/3
⇒ cosx = 2/3
Simplify expression
Cos x = 2/3
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complete question:
Determine the general solution of 3sin x=2tan x
PLEASE HELP. DUE IN 9 MINS ❤️
Three times the sum of a number and 16 is 8 less than four times that same number. Write an
solve an equation to find the number.
Answer:
3(x+16)= 4x-8
x=56
Step-by-step explanation:
3(x+16)= 4x-8
use distributive property
3x+48=4x-8
add 8 to each side
3x+56=4x
subtract 3x from 4x
56=x
check work
3(56+16)=4(56)-8
distributive property again
168+48= 224-8
add the left side
216=224-8
subtract the right side
216=216
tada
Is 33/3 a natural,whole,integer,rational
Answer:
Rational number . . . . . .
A derivative is available with premium W(0)=1.34 when its underlying asset has value S(0)=36. This derivative will have expiry values W(1,↑)=0.64 and W(1,↓)=4.55, when the underlying asset has values S(1,↑)=57 and S(1,↓)=26, respectively. A writer sells 100 of these derivative and wants to set up a portfolio which will have zero cash flow, both at the time the derivative is sold and at the time the derivative expires. The portfolio will include 100 derivatives, borrowed or lent cash, and bought or short sold underlying assets. To ensure a zero cash flow, how many underlying assets should the writer have in the portfolio (with positive meaning bought assets and negative meaning short sold assets)? Give your answer to the nearest integer.
To ensure a zero cash flow in the portfolio, the writer needs to set up a portfolio that offsets the cash flow from selling the derivatives. The writer should have -3 underlying assets in the portfolio (meaning short sold assets)
The cash flow from selling 100 derivatives can be calculated as:
Cash Flow from selling derivatives = 100 * (Premium at time 0 - Expiry value)
Cash Flow from selling derivatives = 100 * (1.34 - 0.64) = 70
To offset this cash flow, the writer needs to include an equal and opposite cash flow from the underlying assets. Let's assume the writer buys ""x"" underlying assets.
Cash Flow from underlying assets = x * (Value at time 0 - Value at time 1)
Cash Flow from underlying assets = x * (36 - 57) = -21x
To make the cash flow from underlying assets equal to the cash flow from selling derivatives, we set up the equation:
-21x = 70
Solving this equation, we find:
x ≈ -3.33
Since the number of underlying assets must be an integer, we round -3.33 to the nearest integer, which is -3.
Therefore, the writer should have -3 underlying assets in the portfolio (meaning short sold assets).
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3. Last year in January Nugget Park employed 520 workers. At the end of the
year 195 employees were made redundant. What fraction of the workforce
kept their jobs?
\(\frac{325}{520}\) fraction of the workforce kept their jobs
What is the Percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
What is Percentage change?
The percentage increase is calculated by subtracting the original number from the new number, dividing that result by the original number, and multiplying that result by 100.
where growth in number equals new number minus initial number.
Similar to how a percentage increase is calculated, a percentage reduction is calculated by subtracting a new number from the original number, dividing that new number by the original number, and multiplying that result by 100.
decreasing number where original number - new number
In other words, there is a percentage decline if the response is negative.
Here, It is given:
In January 520 workers were employed;
In the end, 195 employees were redundant;
So, The fraction of the workforce who kept their job:-
The fraction of the workforce who kept their job=\(\frac{520-195}{520}\)
The fraction of the workforce who kept their job=\(\frac{325}{520}\)
Hence,
The fraction of the workforce who kept their job=\(\frac{325}{520}\)
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which angle number is a vertical angle to
Answer:
Angle 7 or angle DHG
Step-by-step explanation:
Vertical means the opposite angle, or in dictionary definition means each of the pairs of opposite angles made by two intersecting lines. So the vertical angle to angle LHI (angle 9) will be angle DHG (angle 7)
it is not possible to use a relational operator and math operators in the same expression.
It is possible to use a relational operator and math operators in the same expression.
In programming, you can use relational operators (e.g., <, >, ==, !=) and math operators (e.g., +, -, *, /) together in the same expression. This is often used in conditional statements or loops to compare calculated values.
For example, consider the following expression:
`if (2 * 3) > (4 + 1)`
In this expression, we have math operators (*) and (+) and a relational operator (>). The math operations are evaluated first, resulting in:
`if (6) > (5)`
Then, the relational operator (>) is evaluated, and the expression becomes:
`if True`
The expression is true because 6 is greater than 5.
It is possible to use both relational operators and math operators in the same expression, which can be useful in various programming situations such as conditional statements or loops.
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A pair of shoes is priced at $35.99 but is on sale for 20% off. What is the sale price of the shoes?
Answer:
The shoes are on sale for $28.79
Step-by-step explanation:
First, you find the 20% of 35.99 which is 7.198.
Then, i rounded that number to 7.20.
Then do $35.99 - 7.20.
Your final answer is $28.79!
Hope this helps and good luck!