Answer:
The starting height of the chairlift
Given the system of equations:
2x + 3y = 15
X + 3y = 0
What is x?
-15
-5
0
5
15
Answer:
Step-by-step explanation:
Given the system of equations:
2x + 3y = 15
X + 3y = 0
What is x?
2x + 3y = 15
X + 3y = 0 subtract the bottom equation fron the top one
2x - x + 3y - 3y = 15 - 0 see how the 3y - 3y equates to zero
2x - x = 15
x = 15 Now for extra credit what is y?
X + 3y = 0
15 + 3y = 0
15 - 15 + 3y = 0 - 15
3y = -15
3y/3 = -15/3
y = -5
-15
-5
0
5
15
Triangle ABC is translated by the rule (x, y) → (x - 1, y + 6) then reflected across the y- axis. What are the coordinates of A”,B”, and C”?
The coordinates of A'', B'' and C'' are (-1, 4), (-4, 3) and (-1, 2) respectively.
What is Geometric Transformation?Transformation of geometrical figures or points is the manipulation of a given figure to some other way.
Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.
Given triangle has coordinates,
A(2, -2), B(5, -3) and C(2, -4).
First the triangle is translated by the rule (x, y) → (x - 1, y + 6)
A(2, -2) becomes A'(2 - 1, -2 + 6) = A'(1, 4).
B(5, -3) becomes B'(5 - 1, -3 + 6) = B'(4, 3)
C(2, -4) becomes C'(2 - 1, -4 + 6) = C'(1, 2)
Then the translated triangle is reflected across the Y axis.
When reflected a point (x, y) across the Y axis, y coordinate remains same and x coordinate flips.
A'(1, 4) becomes A''(-1, 4)
B'(4, 3) becomes B''(-4, 3)
C'(1, 2) becomes C''(-1, 2)
Hence the vertices of the triangle after undergoes translation and reflection becomes A''(-1, 4), B''(-4, 3) and C''(-1, 2).
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what is the use of a divider
Answer: The use of a divider is to divide things/people.
a red die and a blue die are rolled. you win or lose money depending on the sum of the values of the two dice.if the sum is 5, 6, or 8, you win $5.if the sum is 4, 9, or 10, you win $2.if the sum is any other value (2, 3, 7, 11, or 12), you lose $4.let x be a random variable that corresponds to your net winnings in dollars. what is the expected value of x?
The expected value of your net winnings, x, is $1.39.
To find the expected value of x (net winnings), first calculate the probability of each outcome and multiply it by the respective winnings. There are 6 sides on each die, so there are 36 possible outcomes (6 sides on red die * 6 sides on blue die).
1. Winning $5: Sum of 5, 6, or 8 has 4+5+5 = 14 successful outcomes. Probability = 14/36.
2. Winning $2: Sum of 4, 9, or 10 has 3+4+3 = 10 successful outcomes. Probability = 10/36.
3. Losing $4: Sum of 2, 3, 7, 11, or 12 has 1+2+6+2+1 = 12 successful outcomes. Probability = 12/36.
Now, multiply each probability by its respective winnings/loss and sum them to find the expected value of x:
E(x) = ($5 * 14/36) + ($2 * 10/36) + (-$4 * 12/36) = $1.39
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Given the quadratic equation ax2 + 10x + 2 = 0, determine all values of a that will result in this equation having non-real solutions. Show all work that leads to your answer.
Answer:
a>12.5.
Step-by-step explanation:
you need to look at the discriminant in the quadratic formula:
\(b^{2} -4ac\)
coming from the quadratic polynomial
\(ax^{2} +bx+c=0\)
In our case, b=10 and c=2, hence, the discriminant is
\(10^2-4*a*2 \\100-8a\)
We will obtain non-real values if the discriminant is less than zero.
Therefore, this condition is written as
\(100-8a<0\)
and we must solve for a. It yields
\(100<8a\\a>\frac{100}{8} \\a>12.5\)
Hence, the answer is a>12.5.
The values of a that will result in this equation having non-real solutions must e greater than 12.5
Given the quadratic equation ax^2 + 10x + 2 = 0
For the equation to have non-real solutions, then b^2 - 4ac < 0
From the given equation;
a = a
b = 10
c = 2
Substitute the given parameters into the formula;
10^2 - 4a(2) < 0
100 - 8a < 0
-8a < -100
8a > 100
a > 12.5
Hence the values of a that will result in this equation having non-real solutions must e greater than 12.5
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Rab has trouble remembering the difference between addition of a positive and
negative number and multiplication of a positive and negative number. Explain how
you could clarify the concepts for him. Use an example to back up your explanation.
Addition of a positive and negative number always means that you are going to subtract the number e. g. 4+-1 = 3. However, multiplication of a positive and negative number means the answer is always negative e. g. 5 x - 3 = - 15.
The addition of positive and negative number will always subtract with sign of maximum value.
The multiplication of positive and negative number will have a negative sign always.
AdditionConcept for the addition of positive and negative numberWhen two numbers which have different sign are added, they will always be subtracted from each other. The sign will vary accordingly.
with negative sign: when two numbers are added such that the number with negative sign has the larger value, then both numbers will get subtracted but with negative sign.Example: Consider two number -5 and 4
= -5 + 4
= -1
Here, 5 is the larger value. So, the sign comes is negative.
with positive sign: when two numbers are added such that the number with positive sign has the larger value, then both numbers will get subtracted but with positive sign.Example: consider two number 5 and -4.
= 5 + (-4)
= 1
Here, 5 is the large number. So, the sign comes is positive.
MultiplicationConcept for the multiplication of positive and negative number:When two numbers with opposite signs are multiplied, the answer is always a negative number.
Example; Consider two numbers 4 and -5.
On multiplication,
4×(-5) = -20
Thus, the multiplication of two numbers with different signs will always give a negative number.
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What’s the answer to this? Please send help
Answer:
C
Step-by-step explanation:
what is the diameter of a circle with 28.26 as the area
Answer:
6
Step-by-step explanation:
are=A=πr2
28.26/3.14=9
√9=3
3•2=6
Answer:
6
Step-by-step explanation:
Area = πr^2
r = √(area/π)
r = √(28.26/3.14)
r = 3
and we know that,
d = 2r,
d = 2 x 3 = 6
14. [-14 points) DETAILS ZILLDIFFEQMODAP11M 7.5.011. Use the Laplace transform to solve the given initial-value problem. y"" + 4y' + 20y = 8(t – t) + s(t - 3x), 7(0) = 1, y'(0) = 0 y(t) = 1) +(L + ])
"
The Laplace transform solution for the given initial-value problem is y(t) = (1/13)e^(-2t)sin(4t) + (1/13)e^(-2t)cos(4t) + (8/13)t - (8/13) + (s/13)e^(-2t) - (3s/13)e^(4t).
Taking the Laplace transform of the given differential equation and applying the initial conditions, we obtain the transformed equation:
s^2Y(s) + 4sY(s) + 20Y(s) = 8(s-1)/(s^2 + 4) + s/(s^2 + 4) - 3(s+4)/(s^2 + 16) + 7/(s^2 + 16) + 1/13 + 4/13s + 8/13s - 8/13.
Simplifying the transformed equation, we can rewrite it as:
Y(s) = [(8(s-1) + s - 3(s+4) + 7 + (1 + 4s + 8s - 8)/(13s))(s^2 + 4)(s^2 + 16)]/[13(s^2 + 4)(s^2 + 16)].
Expanding the equation and applying partial fraction decomposition, we get:
Y(s) = [(13s^3 + 58s^2 + 28s - 43)(s^2 + 4)(s^2 + 16)]/[13(s^2 + 4)(s^2 + 16)].
Now, we can rewrite Y(s) as:
Y(s) = (13s^3 + 58s^2 + 28s - 43)/(s^2 + 4) - (43s)/(s^2 + 16).
Applying the inverse Laplace transform, we find:
y(t) = (1/13)e^(-2t)sin(4t) + (1/13)e^(-2t)cos(4t) + (8/13)t - (8/13) + (s/13)e^(-2t) - (3s/13)e^(4t).
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Psychology and Human Behavior The mattress company Amerisleep recently conducted a survey and concluded that more than half of all Americans sleep on the job, but the type of work and salary affect how often people grab some shut eye. 41 Suppose that the mean number of naps per month on the job by a randomly selected American worker is four. A. What is the probability that a randomly selected American worker does not take a single nap during a month? One nap? Two naps? B. Suppose two American workers are selected at random. What is the probability that the total number of naps for the two Americans during a month is zero? One? Two? C. Suppose the mean number of times per month an American worker naps on the job is eight. What is the probability that a randomly selected American worker does not take a single nap during a month? One nap? Two naps? D. How do your answers in parts (b) and (c) compare? What property does this suggest about a Poisson random variable?
A. The probability of no nap is 0.390625, one nap is 0.234375 and two naps is 0.156250. B. The probability of zero naps is 0.152587890625, one nap is 0.3076171875, and two naps is 0.146484375. C. The probability of no nap is 0.02734375, one nap is 0.14453125, and two naps is 0.271484375. D. The probability of no naps decreases as the mean number of naps increases.
A. We can calculate the probability of no nap, one nap, and two naps by using the Poisson Distribution formula. The mean number of naps (λ) is four, so the probability of no nap (x=0) is 0.390625, one nap (x=1) is 0.234375, and two naps (x=2) is 0.156250.
B. We can calculate the probability of zero naps, one nap, and two naps by using the Poisson Distribution formula. The mean number of naps (λ) is four, so the probability of zero naps (x=0) is 0.152587890625, one nap (x=1) is 0.3076171875, and two naps (x=2) is 0.146484375.
C. We can calculate the probability of no nap, one nap, and two naps by using the Poisson Distribution formula. The mean number of naps (λ) is eight, so the probability of no nap (x=0) is 0.02734375, one nap (x=1) is 0.14453125, and two naps (x=2) is 0.271484375.
D. We can see from the answers in (b) and (c) that the probability of no naps decreases as the mean number of naps increases, suggesting that a Poisson random variable follows a decreasing probability distribution.
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the agent earns a 6% commission on the first $300,000 of the sales price and 3% of that portion of the sales price that exceeds $300,000. the commission is $21,150. what is the sales price?
As per the given commission, the sales price of the property is $405,000.
To do this, we need to break down the commission earned by the agent into two parts: the commission earned on the first $300,000 and the commission earned on the remaining amount. The commission earned on the first $300,000 can be calculated as:
Commission on first $300,000 = 6% of $300,000
Commission on first $300,000 = 0.06 x $300,000
Commission on first $300,000 = $18,000
So, the remaining commission earned by the agent on the amount that exceeds $300,000 is:
Total commission - Commission on first $300,000 = $21,150 - $18,000
Total commission - Commission on first $300,000 = $3,150
Now, we know that the commission earned on the remaining amount is 3% of the sales price that exceeds $300,000. Let's assume the sales price of the property is x. Then we can write the following equation:
3% of (x - $300,000) = $3,150
We can simplify this equation as follows:
0.03(x - $300,000) = $3,150
x - $300,000 = $3,150 / 0.03
x - $300,000 = $105,000
x = $300,000 + $105,000
x = $405,000
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What would these be :)
please help. will guve brainliest
Answer:
ASA
Step-by-step explanation:
Because QR bisects ∠PQS, ∠PQR ≈ ∠SQR
QR = QR
It is given that ∠ PRQ ≈ ∠SRQ
Did the roman military become too powerful? why or why not
The question of whether the Roman military became too powerful is subjective and can be interpreted differently based on various perspectives and historical contexts.
The power of the Roman military can be seen as both a strength and a potential concern. On one hand, the military might of ancient Rome played a crucial role in the expansion and maintenance of the empire. The well-disciplined and highly organized legions allowed the Romans to conquer and control vast territories, ensuring stability, protection, and the spread of Roman civilization.
However, the growing power of the Roman military also raised concerns. As the empire expanded, maintaining control over distant regions became a challenge. The need for a large and powerful military to safeguard the empire led to increased military spending, strained resources, and the potential for abuse of power. Moreover, the concentration of military power in the hands of ambitious generals or emperors posed a threat to the stability of the political system.
Ultimately, the question of whether the Roman military became too powerful depends on the perspective taken. From a strategic standpoint, the strength of the military allowed Rome to exert control and protect its interests. However, the potential for military dominance to undermine the balance of power within the empire and lead to political instability should not be disregarded.
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6.37. the expected number of typographical errors on a page of a certain magazine is .2. what is the probability that an article of 10 pages contains (a)
Using the Poisson distribution,
a) The probability that the next page you read contain zero typographical error is 0.81. .
b)The probability that the next page you read contain 2 more typographical errors is 0.017..
Given that expected number of typographical errors on a page out of 10 pages of a certain magazine is , λ = 0.20
Let X is a random variable representing the number of typographical error. We use Poisson distribution. The Poisson distribution formula is ,
P(X) = (e⁻λ λˣ)/x!
For part (a) Put X = 0 , we get
P(X=0) = (0.2)⁰e⁻⁰·²/0! = 1/ e⁰·²⁰= 0.8187
b) Find the probability that the next page you read contains 2 more typographical errors.
That is, P(X≥2) = 1- P(X=0) - P(X=1) = 1 - 0.8187 - (0.2)e⁻⁰·² /1!= 1 - 0.9824= 0.0175
Hence, the probability that an article of 10 pages contains zero typographical error is 0.8187 and contains 2 more error is 0.0175.
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Complete question:
6.37. the expected number of typographical errors on a page of a certain magazine is .2. what is the probability that an article of 10 pages contains (a)0 and (b) 2 more topography error
a piece of string 44 centermerters long.Many cuts of a piece that is 15 centermeaters long .how much string is left?
What is the value of the expression when m= 8 and n=5?
m + 35 - n
Answer:
8 + 35 - 5
43 - 5
38
Answer:
38
Step-by-step explanation:
8+35−5
Add 8 and 35 to get 43.
43−5
Subtract 5 from 43 to get 38.
38
Please help me I need help urgently please please . Find the exact value of tan S in simplest radical form.
The exact value of tan(S) in simplest radical form is 2/(√42).
Given,
ST = √42 (opposite side to angle S)
TU = 2 (adjacent side to angle S)
US = √46 (hypotenuse of the triangle)
To find the value of tan(S), we need to determine the ratio of ST to TU.
In triangle it is mentioned that the angle of each.
Now, we can calculate the value of tan(S):
tan(S) = TU / ST
tan(S) = 2 /(√42)
Therefore, the exact value of tan(S) in simplest radical form is 2/(√42).
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Determine what type of statistical inference should be used to answer each of the questions below. (You will only use each response one time.)
Answer choices are: Two dependent means, proportions from dependent samples, two independent means, one proportion, one mean, means from dependent samples
1. You want to estimate the typical salary for women working in the nursing field.
2. You want to estimate the proportion of nurses that quit after working for only one year.
3. You want to estimate the difference in the number of men and women that quit the nursing field after only one year.
4. You want to estimate the difference in the salaries of men and women working in the nursing field.
5. The same one hundred people were asked in 2000 and in 2006 how much they had spent on medical bills. Has there been in increase in medical cost?
6. The same one hundred people were asked in the year 2000 and again in the year 2006 if they trusted their local hospitals. Has there been a change in people's trust?
1. One mean 2. One proportion 3. Proportions from dependent samples 4. Two independent means 5. Means from dependent samples 6. Proportions from dependent samples
1. You want to estimate the typical salary for women working in the nursing field.
Answer: One mean
2. You want to estimate the proportion of nurses that quit after working for only one year.
Answer: One proportion
3. You want to estimate the difference in the number of men and women that quit the nursing field after only one year.
Answer: Two independent means
4. You want to estimate the difference in the salaries of men and women working in the nursing field.
Answer: Two independent means
5. The same one hundred people were asked in 2000 and in 2006 how much they had spent on medical bills. Has there been an increase in medical cost?
Answer: Means from dependent samples
6. The same one hundred people were asked in the year 2000 and again in the year 2006 if they trusted their local hospitals. Has there been a change in people's trust?
Answer: Proportions from dependent samples
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HELP ME PLS
A media research survey showed that one evening, 2/3 of all U.S. households had their televisions on, and 3/8 of them were watching a World Series baseball game. What fraction of the U.S. households was watching the game?
Answer:
sfhjty
Step-by-step explanation:
If angle hfg =130 and angle egg =70 what is angle Abe
Answer:
Hope the picture will help you...........
Enter the volume of the right rectangular prism in cubic centimeters.
Answer:
37.95
Step-by-step explanation:
3.3x2.5x4.6=37.95
help me thank you ill give brainlyies
Answer:
-5 degrees is colder than -3 degrees farienheight.
Step-by-step explanation:
Let's take this and eliminate every answer-
"The lowest temperature is -3 degrees."
-5 is lower than -3.
"The highest temperature is -5 degrees."
-5 degrees is the lowest temperature, not the highest!
"-5 is warmer than 3 degrees."
-5 is the LOWEST TEMPERATURE.
This leaves us with "-5 is colder than -3 degrees," which is correct because -5 is the smallest temperature and therefore, it is the coldest.
Alyssa received a leadership patch, as shown below, when she was elected Student Body President.
The patch is in the shape of a right triangle where the top section and the whole patch form similar triangles.
If x = 55 mm, z = 80 mm, and the tangent of the bottom angle, where the star is located, is equal to , what is the length of w?
A. 32 mm
B. 48 mm
C. 55 mm
D. 40 mm
The length of the side w is 55mm. Option C
How to determine the valueNote that the different trigonometric identities are;
sinetangentcosinesecantcosecantcotangentFrom the triangle shown, we have;
x = 45mm
z = 80mm
We also have tangent where the star is located is 1
Then,
tan θ = 1
find the tangent inverse of the values
θ = 45 degrees
As given in the diagram, the diagrams are similar
So both angles are 45 degrees
However, we can deduce that since the angles are equal, then, the sides are equal
x = w = 55mm
w = 55mmm
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how to find the vertex
An auto dealer has 5 different cars and 6 different trucks. How many ways are there to select three vehicles so that at least one truck is chosen?
There are 155 ways to select three vehicles so that at least one truck is chosen.
How to determine the number of selecting three vehicles?To solve the problem given above, we first need to calculate the total number of ways of choosing three vehicles without any restrictions. We can do this by using the combination formula.
The number of combinations of n objects taken r at a time is given by:
nCr = n! / r! (n - r)!
where n! is the factorial of n (i.e. the product of all positive integers up to n), r! is the factorial of r, and (n - r)! is the factorial of n - r.
Using this formula, we can calculate the total number of ways of choosing three vehicles as follows:
nCr = 11! / 3! 8! = 11 × 10 × 9 / 3 × 2 × 1 = 165
Now, we need to calculate the number of ways of choosing three vehicles so that no truck is chosen. Since there are 5 cars, we can choose 3 cars in 5C3 = 10 ways.
Therefore, the number of ways of choosing three vehicles so that at least one truck is chosen is given by the difference between the total number of ways of choosing three vehicles and the number of ways of choosing three vehicles so that no truck is chosen.
Thus, the number of ways of choosing three vehicles so that at least one truck is chosen is:
165 - 10 = 155
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Both spinner a and b have 3 equal sized swctions make a tabke to represent the sample space whrn thwy arw spun
To represent the sample space for spinner A and B with 3 equal-sized sections each, we can create a table.
Let's label the sections on spinner A as A1, A2, and A3, and the sections on spinner B as B1, B2, and B3.
In the table, we can list all possible outcomes by combining the sections of both spinners.
The table will have 9 cells, representing all possible combinations. Each cell will indicate one possible outcome, showing the section from spinner A and the section from spinner B.
Here's an example of the table:
| | B1 | B2 | B3 |
|-----|----|----|----|
| A1 | A1B1 | A1B2 | A1B3 |
| A2 | A2B1 | A2B2 | A2B3 |
| A3 | A3B1 | A3B2 | A3B3 |
In this table, each cell represents a possible outcome when spinner A and spinner B are spun. For instance, the cell A1B2 indicates that spinner A landed on section A1 and spinner B landed on section B2.
This table represents the sample space for the given scenario.
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The table shows that the total cost of a ride-sharing trip, y, is a function of the distance traveled, z.
■ What is the rate of change and what does it mean?
2; the ride costs $2 per mile.
43; the ride costs $3 per mile.
< 2; it costs $2 as soon as you start the ride.
43; it costs $3 as soon as you start the ride.
Distance (mi), z Total Cost ($). y
2
5
8
11
14
0
1
2
3
4
The rate of change, based on y is a function of the distance traveled, z, and what it means is B. The ride costs $3 per mile.
What is the rate of change?The rate of change is the unit rate or the slope.
The rate of change also refers to the variable cost per unit.
The variable cost can be differentiated from the fixed cost since it varies according to the quantity involved.
Distance (mi), z Total Cost ($) y Rate of Change
0 2 $0
1 5 $3 ($5 - $2)
2 8 $3 ($8 - $5)
3 11 $3 ($11 - $8)
4 14 $3 ($14 - $11)
The Rate of Change = The Slope = Rise/Run = ($5 - $2)/(1 - 0)
Thus, based on the total cost of a ride-sharing trip, the unit rate is $3 per mile.
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there are 25 gold paper clips and 75 silver paper clips in each box. How many silver paper clips are in 8 boxes. (THIS IS MULTIPLICATION)
Answer:
600
Step-by-step explanation:
75 x 8 = 600
Answer:
the answer is 600 silver paper clips
Step-by-step explanation:
So the question asks how many SILVER PAPER CLIPS are in 8 boxes. The questions adds 25 GOLD CLIPS just to throw you off. You do not do nothing with it, it just there to mess with your mind. Also it says 75 silver clips in EACH box and there are 8 boxes. So you multiply 75 with 8 and get 600 SILVER PAPER CLIPS
Which of the quantities below represents a velocity?
A. 25 m/s
B. 10 km/min
C. 15 mi/h eastward
D. 3 mi/h
Step-by-step explanation:
Velocity is a measure of the rate at which an object moves through space. It is a vector quantity, meaning that it has both magnitude (size) and direction. The standard unit for velocity is meters per second (m/s).
Of the quantities listed above, the following represent velocities:
A. 25 m/s: This represents a velocity of 25 m/s, because it gives both the speed (magnitude) and direction of the object's movement.
C. 15 mi/h eastward: This represents a velocity of 15 miles per hour (mi/h) in an eastward direction, because it gives both the speed and direction of the object's movement.
D. 3 mi/h: This represents a velocity of 3 mi/h, because it gives both the speed and direction (implied to be eastward or westward) of the object's movement.
B. 10 km/min: This does not represent a velocity, because it gives the distance traveled (10 km) but not the time over which the distance was traveled. Without the time, it is not possible to determine the speed or rate of movement.