Answer:
∠ S = 55°
Step-by-step explanation:
∠ R and ∠ S are vertical angles and congruent, thus
∠ S = ∠ R = 55°
Use transformations of f(x)=x² to graph the following function. hox)=(x-3)²-2 Use the graphing tool to graph the function.
To graph the function h(x) = (x-3)²-2 using transformations of f(x) = x², we can follow these steps:
Start with the parent function f(x) = x².
Shift the graph 3 units to the right by replacing x with x-3: f(x-3) = (x-3)².
Shift the graph 2 units downward by subtracting 2 from the expression: h(x) = (x-3)² - 2.
Using a graphing tool, we can plot the function h(x) as shown below:
Graph of h(x)=(x-3)^2-2
We can see that the graph has been shifted 3 units to the right and 2 units downward compared to the graph of f(x) = x².
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factorise (x-2y)^2-6(x-2y)+5
Answer:
Step-by-step explanation:
-> Given Equation (x-2y)^2-6(x-2y)+5
->x^2 +4xy+4y^2 - 6x-12y+5
->x(x+4y-6)+y(4y-12)+5
Which is the slope of the line that passes through the points (-2, 4) and (5, -1)
Answer:
Slope = -5/7
Step-by-step explanation:
Use the slope formula
(-1 - 4)/5 -(-2) = -5/7
i roll a four-sided die. the possible outcomes are 1, 2, 3, or 4, depending on the number of spots on the side of the die that is face down. this collection of all possible outcomes is called: group of answer choices a census. the probability. the sample space. the distribution.
The given probability, the collection of all possible outcomes is sample space.
Probability is the statistics term that defines a number that reflects the chance or likelihood that a particular event will occur.
Here we have given that i roll a four-sided die. the possible outcomes are 1, 2, 3, or 4, depending on the number of spots on the side of the die that is face down.
And we need to find collection of all possible outcomes is called.
While we looking into the given question, we know that,
In order to solve this one, we must know the definition of sample space.
The term sample space means a collection or a set of possible outcomes of a random experiment.
According to the definition, here the sample space is the set composed by all the possible outcomes of your random variable.
According this case, the random variable is 4 sided dice,
Therefore the sample space is
S = {1, 2, 3, 4}
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At a residential construction site, a piece of crown molding is 64 14 inches long. If you cut 30 78 inches off, how much crown molding is left?
Answer:33 and 3/8ths is the answer
Step-by-step explanation:
A piece of crown molding is 64 1/4 inches long
you cut 30 7/8 inches off
is cut off. So we subtract from the length of crown
Make the denominators same . LCD is 8
A project under consideration has a 10-year projected life. The initial investment for the project is estimated to have a mean of $10,000 and a standard deviation of $1,000. The annual receipts are independent, with each year’s expected return having a mean of $1,800 and a standard deviation of $200. MARR is 12 percent. Assuming that initial investment and annual receipts are independent and normally distributed, estimate the probability that the present worth is negative using NORM.INV function in excel.
This value represents the present worth below which the probability is 0.5, indicating a negative present worth.
To estimate the probability that the present worth is negative using the NORM.INV function in Excel,
we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.
The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).
Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),
where t is the year. We then sum up these present values for each year.
We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.
Since we have a mean and standard deviation for the present worth,
we can calculate the corresponding probability of a negative present worth using NORM.INV.
This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,
we can estimate the probability that the present worth is negative based on the given data and assumptions.
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Find x and y in the figure
Answer:
x=10, y=25
Step-by-step explanation:
First, in a trapezoid, the two angles on the same leg (the legs are the opposite sides that are not parallel) add up to 180 degrees. Therefore, 4y as well as (2y+3x) are supplementary. We can write this out as
4y + (2y+3x) = 180
6y+3x = 180
Next, the angles of a triangle add up to 180 degrees. Therefore, as the angles 2y, 4y, and (5x-20) make up a triangle, they add up to 180 degrees. We can write this as
4y + 2y + (5x-20) = 180
6y + 5x -20 =180
Our two equations are thus
6y + 5x - 20 = 180
6y + 3x = 180
If we subtract 6y from both sides in each equation, we can say
5x - 20 = 180-6y
3x = 180-6y
Therefore, we can write
5x-20 = 180-5y = 3x
5x-20=3x
subtract 3x from both sides to make all x variables on the same side
2x-20 = 0
add 20 to both sides to isolate the x and its coefficient
2x = 20
divide both sides by 2 to isolate x
x = 10
Therefore,
x = 10
6y + 3x = 180
6y + 30 = 180
subtract 30 from both sides to isolate the y and its coefficient
6y = 150
y = 25
If a circular flower bed has a diameter of 18ft.
What is the area of the flower bed?
please help me the blue line is what I have to solve for
We have the following:
\(b-4-2p+5=6p+1\)solving for b (blue line):
\(\begin{gathered} b-4-2p+5=6p+1\text{ } \\ \text{ We group similar terms} \\ b-4+5-1-2p+2p=6p+1-1+2p \\ b+(-4+5-1)=(6p+2p) \\ \text{ we reduce similar terms} \\ b=8p \end{gathered}\)Therefore, the answer is:
\(8p-4-2p+5=6p+1\)The boss told the management team some sad news too. “I’m cutting your hourly pay. You now get paid per project you finish. I will give you $10 for each finished schedule you create and $20 for each meeting you complete! You cannot make more than $100 per day! Also you must make more than twice as many schedules as meetings!”
Create a system of linear inequalities to model the situation above, where x is the number of schedules made and y is the number of meetings completed.
The system of linear inequalities to model the situation is 10x + 20y ≤ 100 and y > 2x
How to create a system of linear inequalities to model the situationFrom the question, we have the following parameters that can be used in our computation:
Each finished schedule = $10Each meeting = $20Amount to make = Not more than $100You must make more than twice as many schedules as meetingsUsing the following representations:
x = the number of schedules madey = the number of meetings completedWe have the following system of inequalities from the given statements
10x + 20y ≤ 100
y > 2x
Hence, the system of inequalities is 10x + 20y ≤ 100 and y > 2x
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A truck driver averages 45 miles per hour while delivering freight and 60 miles per hour on the return
trip. The total drive time is 7 hours. How long does each trip take?
pls send help a girl is struggling
Answer:
Delivery Trip: 3 hours
Return Trip: 4 hours
Step-by-step explanation:
d/60 + d/45 = 7
45d/2700 + 60d/2700 = 7
105d/2700 = 7
105d = 18900
d = 180
180/60 = 3
180/45 = 4
Answer:
delivering 180/45 = 4 hours and return trip 180/60 = 3 hours
Step-by-step explanation:
d = unknown number to calculate each trip
\(\frac{d}{45}\) + \(\frac{d}{60}\) = 7
find common denominator (45 * 60 = 2700)
(\(\frac{60}{60}\))*(\(\frac{d}{45}\)) +( \(\frac{45}{45}\))*(\(\frac{d}{60}\)) =7
\(\frac{60d}{2700}\) + \(\frac{45d}{2700}\) =7
\(\frac{60d + 45d}{2700}\) =7
\(\frac{105d}{2700}\) = 7
105d = 7 * 2700
105d = 18,900
d = 18900/105
d = 180
delivering 180/45 = 4 hours
return trip 180/60 = 3 hours
please help due asap
Answer:
I think it's angle 10
Step-by-step explanation:
I'm not 100% sure, but I think this is it because angles 10 and 2 have the same relative position at the intersection.
I hope this helps
Which problem can be solved using the equation shown? 2 dollars and 50 cents x minus 2 dollars = 10 dollars and 50 cents Will bought several books that cost $2. 50 each and received a $2. 00 discount on his total bill. If he paid $10. 50, how many books did he buy? Will bought several books that cost $2. 00 each and received a $2. 00 discount on his total bill. If he paid $10. 50, how many books did he buy? Will bought several books that cost $10. 50 each and received a $2. 00 discount on his total bill. If he paid $2. 50, how many books did he buy? Will bought several books that cost $10. 50 each and received a $2. 50 discount on his total bill. If he paid $2. 50, how many books did he buy?.
The costs were $2.50 each and received a $2.00 discount on his total bill. If he paid $10.50
Linear systemIt is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
2.5x - 2 = 10.5 is a linear equation.
To findThe number of books.
How to get it?2.5x - 2 = 10.5 is a linear equation.
On simplifying, we get
2.5x - 2 = 10.5
2.5x = 12.5
x = 5
The number of books is 5.
Thus, the costs were $2.50 each and received a $2.00 discount on his total bill. If he paid $10.50.
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Answer:
Will bought several books that cost $2.50 each and received a $2.00 discount on his total bill. If he paid $10.50, how many books did he buy?
Step-by-step explanation:
Supper late but here is the answer.
Have a good day :)
Solve the Linear system. Enter your answer as an ordered pair
2x+3y=31
y=x+7
(2,9)
this needs 20 characters
Easy Points! Explain Well!
Answer:
I am guessing it is 67 as for maybe the whole thing is 180 degrees. So 180 subtracted by 67 and 46 equals 67!!!
67+46+?=180
113+?=180
?=180-113
?=67
PLZZZZZZZZZZ HELP ME I REALLY DONT WNA FAIL
Answer:
the answer is 1/2 and then 3/4
consider the inequalityThe solution set of the inequality is:Select oneX>32X<32X>23X<23
Consider the inequalitiy 3 - 1 - x <= -2x -3x
\(3-1-x\leq-2x-3x\)\(2-x\leq-5x\)\(-2\ge4x\)\(x\leq-\frac{1}{2}\)For what amount of exit proceeds would these two structures yield the same amount of carried interest?
.20 (Z-250) = .30 (Z-200)
Solve for Z.
Answer:
Step-by-step explanation:"To solve this equation, you can start by distributing the 0.20 and 0.30 terms. Then, you can simplify the equation by combining like terms. After that, you can isolate the variable Z on one side of the equation by adding or subtracting terms from both sides. Finally, you can solve for Z. The solution is Z = 1000. Does that help?"
1. Use the Integral Test to determine whether the series is convergent or divergent.∫ n = 1 [infinity] 5/(2n + 2)3Evaluate the following integral∫ 1 [infinity] 15/(2x + 2)^3 dx
The value of the improper integral is -15/64, which is a finite number. According to the Integral Test, since the integral converges to a finite value, the series is also convergent.
In mathematics, an integral is the continuous analog of a sum, which is used to calculate areas, volumes, and their generalizations. Integration, the process of computing an integral, is one of the two fundamental operations of calculus,[a] the other being differentiation. Integration started as a method to solve problems in mathematics and physics, such as finding the area under a curve, or determining displacement from velocity. Today integration is used in a wide variety of scientific fields.
Using the Integral Test, we can determine the convergence or divergence of a series by evaluating the corresponding improper integral.
For the given series,
∫ n = 1 [infinity] 5/(2n + 2)^3
we can evaluate the corresponding integral as
∫ n = 1 [infinity] 5/(2n + 2)^3 dn
= [(-5/2) * 1/(2n + 2)^2] | n = 1 to [infinity]
= [(-5/2) * (1/2^2)] | n = 1 to [infinity]
= (-5/8) [1 - 0]
= -5/8
Since the integral is a finite negative value, the series is convergent.
For the second part of the question,
∫ 1 [infinity] 15/(2x + 2)^3 dx
we can evaluate the corresponding integral as
∫ 1 [infinity] 15/(2x + 2)^3 dx
= [(-15/2) * 1/(2x + 2)^2] | 1 to [infinity]
= [(-15/2) * (1/2^2)] | 1 to [infinity]
= (-15/8) [1 - 0]
= -15/8
Since the integral is a finite negative value, the series is convergent.
Hi! To use the Integral Test to determine if the series is convergent or divergent, we need to consider the function f(x) = 5/(2x + 2)^3 and evaluate the improper integral from 1 to infinity.
1. The series: Σ (n = 1 to infinity) 5/(2n + 2)^3
2. The corresponding function: f(x) = 5/(2x + 2)^3
3. Evaluate the improper integral:
∫(1 to infinity) 15/(2x + 2)^3 dx
To solve this integral, we'll use substitution:
Let u = 2x + 2, so du = 2dx, and dx = du/2.
When x = 1, u = 4. When x approaches infinity, u also approaches infinity.
Now, substitute and adjust the integral:
(1/2) ∫(4 to infinity) 15/u^3 du
Integrate with respect to u:
(1/2) * [-15/2 * 1/u^2] (evaluated from 4 to infinity)
As u approaches infinity, the term -15/2 * 1/u^2 approaches 0. Now, evaluate the remaining part at u = 4:
(1/2) * [-15/2 * 1/16] = -15/64
So, the value of the improper integral is -15/64, which is a finite number. According to the Integral Test, since the integral converges to a finite value, the series is also convergent.
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how to write 7/10 into percent
Answer:
Convert fraction (ratio) 7 / 10 Answer: 70%
Answer:
70%
Step-by-step explanation:
To find percentage = fraction * 100
= 7/10 * 100
= 0.7 * 100
= 70%
Which could be the first step of an indirect proof of the conditional below?
If x2 = 25, then 5’2= 25 and x = 5,
A. Assume x=5 is true.
B. Assume 52 = 25 is true,
C. Assume x2 + 25 is true.
D. Assume 52.25 and x + 5 are true,
Answer
Option D
Step-by-step explanation
For further help (727) 335-8234
The first step of indirect proof of the conditional below
If x2 = 25, then 5’2= 25 and x = 5 is assume 5² = 25.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Conditions:
x² = 25 then 5² = 25 and x = 5
If we have to prove the above conditions indirectly, we have to prove that x² = 25 using the conditions 5² = 25 and x = 5.
So,
We have to assume,
Step 1:
5² = 25
Step 2:
x = 5
Step 3:
x² = 25
Thus,
The first step of indirect proof of the conditional below
If x2 = 25, then 5’2= 25 and x = 5 is assume 5² = 25.
Option B is the correct answer.
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how do i solve this?
The percentage of area under the density curve where x is less than 2 is 20%
What is percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%",
The area of the whole density curve is ;
A = 1/2 (a+b)h
This is because the curve takes the shape of a trapezium.
A = 1/2 ( 4+6) 0.2
A = 1/2 × 10 × 0.2
A = 5 × 0.2
A = 1
The area of the curve in region less than 2
= 1/2 bh
= 1/2 × 2 × 0.2
= 0.2
The percentage of the area less than 2 in the curve is
x/100 × 1 = 0.2
x = 0.2 × 100
x = 20%
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Can anyone help me with this question? Which reason justifies the conclusion that ∆PST ≅ ∆RST?
Answer:
A) SAS postulate
Step-by-step explanation:
Answer:
SAS
Step-by-step explanation:
you know that ST is equal and you also know two equal angles and one other equal side
Anyone know the answer?
Answer:
yes I know the answer to your answer that is the answer. your welcome. hope this helps.
An artist painted 3/5 of a portrait in 20 minutes. If she continues working at the same rate, how many portraits will she paint in one hour?
Answer:
one and four fifths 1 4/5-
Step-by-step explanation:
i multipled 3/5 by 3 cause 20 times 3 is 60
If multiple people answer i will mark the the first brainliest
9514 1404 393
Answer:
see below
Step-by-step explanation:
The term y/2 tells you that any integer solution must include an even value of y. That is, y=3 cannot be part of an integer solution.
When we use the ordered pair (x, y) = (2, -4) in the equation, we get ...
6(2) -(-4)/2 = 12 +2 = 14 . . . . . satisfies the equation
Of the two points offered, only (2, -4) is a solution.
Solve each equation for 0 ≤ θ<2 π .
√3tanθ=1
The answer is θ = π/6 and θ = 7π/6.
We can solve this equation by dividing both sides by √3 and then taking the arctangent of both sides.
Recall that the tangent of an angle is equal to the ratio of the sine of the angle to the cosine of the angle. Therefore, we can write the given equation as:
```
tan θ = √3/3
```
Taking the arctangent of both sides, we get:
```
arctan(tan θ) = arctan(√3/3)
```
The arctangent function is the inverse of the tangent function, so this equation is equivalent to:
```
θ = arctan(√3/3)
```
The arctangent of √3/3 is equal to π/6. Since 0 ≤ θ < 2 π, the only other value of θ that satisfies this equation is θ = 7π/6.
To see this, consider the unit circle. The angle θ = π/6 corresponds to the point on the unit circle that is 30 degrees counterclockwise from the positive x-axis. The angle θ = 7π/6 corresponds to the point on the unit circle that is 300 degrees counterclockwise from the positive x-axis. In both cases, the tangent of the angle is equal to √3/3.
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ILL GIVE BRAINLIEST TO WHOEVER ANSWERS THE FASTEST (QUESTION IN GRAPH)
Answer:
$210
Step-by-step explanation:
We can tell the line of the graph is y=3x-150
Therefore, if we plug 120 into x,
y=360-150
y=210
find the area of this figure. round your answer to the nearest hundredth.use 3.14 to approximate pi.
The area of the geometry is the sum of the area of the triangle and the semicircle will be 49.12 square feet.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The geometry is the combination of the semicircle and right triangle.
Then the area of the geometry will be
Area = 1/2 x 6 x 8 + π/8 x 8²
Area = 4 x 6 + 3.14 x 8
Area = 24 + 25.12
Area = 49.12 square feet
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If the two figures are congruent, which statement is true?
A. BCDA ≅ FEHG
B. ABCD ≅ EFGH
C. BADC ≅ EFGH
D. ADCB ≅ HGFE
Answer:
A
Step-by-step explanation:
the order of letter should resemble the same shape