Answer:
(-2, 0)
Step-by-step explanation:
its where the line crosses through the x-axis
Does 4.5, 6, and 7.5 make a right triangle?
Answer:
yes.
Step-by-step explanation:
besties help me rn
The Hawks basketball team scored (x + 5) points. The Bulls basketball team scored (2x - 3) points. Write an expression that represents how many more points The Hawks scored than The Bulls
Answer:
(x+5)-(2x-3)
or simplified
8-x or -x+8
standard labor-hours per unit of output 8.5 hours standard labor rate $12.30 per hour the following data pertain to operations concerning the product for the last month: actual hours worked 6,300 hours actual total labor cost $74,970 actual output 800 units
Direct labor efficiency variance = $6,100 F.
Given that
Standard labor-hours per unit of output 8.5 hours
Standard labor rate $12.30 per hour
Standard labor hours allowed 6,800 hours (800 units * 8.5 hours allowed)
The following data pertain to operations concerning the product for the last month:
Actual hours worked 6,300 hours
Actual total labor cost $74,970
Actual output 800 units
We can determine the labor efficiency variance using the following equation:
1. Direct labor efficiency variance = (Standard hours allowed - Actual labor hours) * Standard rate
2. Direct labor efficiency variance = (6,800 hours - 6,300 hours) * $12.20
3. Direct labor efficiency variance = $6,100 F
The variance is favorable as the actual labor hours used are less than the standard hours allowed.
Hence the answer is Direct labor efficiency variance = $6,100 F.
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if p is the number of ways you can place 5 queens on a chessboard randomly and q is the number of ways you can place 5 queens column-wise (as used in backtracking) randomly, then what is the ratio of p / q approximately?
The factorial or ratio of p / q approximately is 1199.5.
Calculate p (number of ways to place 5 queens randomly on a chessboard):
A chessboard has 64 squares. We can place the first queen in any of the 64 squares, the second queen in any of the remaining 63 squares, and so on.
So, the number of ways to place 5 queens randomly is: p = 64 * 63 * 62 * 61 * 60 However, since the order in which we place the queens does not matter, we need to divide by the number of ways to arrange the 5 queens,
which is 5! (5 factorial). p = (64 * 63 * 62 * 61 * 60) / (5 * 4 * 3 * 2 * 1) 2=8,048,640
Calculate q (number of ways to place 5 queens column-wise):
We need to find the value of q. Here, we place 5 queens column-wise. In the first column, there are 8 possible squares to place the first queen. In the second column, there are only 7 possible squares left because one square is already blocked by the first queen.
Similarly, in the third column, there are only 6 possible squares left, and so on. Therefore, the total number of ways to place the 5 queens column-wise is: 8 × 7 × 6 × 5 × 4= 6,720
Calculate the ratio p / q:
Now that we have values for p and q, we can find the ratio p / q. p / q ≈ ((64 * 63 * 62 * 61 * 60) / (5 * 4 * 3 * 2 * 1)) / (8 × 7 × 6 × 5 × 4) ≈ 1199.5
Therefore, the ratio of p / q approximately is 1199.5.
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Which number produces a rational number when multiplied by 0.5?
A. 222
B.
C 2.020020002...
D. Pi
what is 8^100 / 8^50 is 8^50
Answer:
5000
Step-by-step explanation:
5. Use quadratic regression to find a quadratic equation that fits the given points 0 1 2 3 y 6. 1 71. 2 125. 9 89. 4
The quadratic equation that fits the given points is y = -7x^2 + 27x + 1.
To find a quadratic equation that fits the given points, we can use quadratic regression. We have four points: (0, 1), (2, 71), (3, 125), and (9, 89). Using these points, we can set up a system of equations in the form y = ax^2 + bx + c.
Substituting the x and y values from each point into the equation, we get four equations. Solving this system of equations, we find that the quadratic equation that fits the given points is y = -7x^2 + 27x + 1.
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ve makes successive calls to potential customers, and the result of each call is recorded as a sale (s) or a no sale (n). calls are continued until either two successive sales are made, two calls result in no sale (these calls need not be consecutive), or a total of 4 calls is made. what is the sample space for this situation.
The sample space for this situation consists of all possible outcomes of the four calls. It can be represented by a set, a tree diagram, or a table.
The sample space for this situation can be represented by the set of all possible outcomes of the 4 calls: S = { nnnn, nnn s, nnsn, nnss, nsnn, nsns, nssn, nsss, snnn, snns, snsn, snss, ssnn, ssns, sssn, ssss }.
The sample space can also be represented by a tree diagram. The top of the tree diagram represents the start of the calls, and each branch splits into two possible outcomes: sale or no sale. The sample space consists of all possible paths through the tree, including the path that contains two successive sales and the path that contains two successive no sales.
For example, the path { nnnn } represents the outcome of four consecutive no sales. The path { ssss } represents four consecutive sales. The path { nnss } represents two successive no sales followed by two successive sales.
The sample space can also be represented by a table. The table consists of four columns, each representing a call. The rows represent the possible outcomes of the four calls. For example, the row { nnnn } represents four consecutive no sales. The row { ssss } represents four consecutive sales. The row { nnss } represents two successive no sales followed by two successive sales.
Overall, the sample space for this situation consists of all possible outcomes of the four calls. It can be represented by a set, a tree diagram, or a table.
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Select all the expressions that have a value of 22 – 33 + 29. help a girl out! <3
Answer:
2. 8³ - 14 × 6² - 2
4. |-6|
5. 7² - 3.1 - 19 × 2.1
Step-by-step explanation:
To find the expressions, find the solution of the given equation, then solve for each answer choice to see if the soultions match. If they do, then the expressions are equivalent.
2² - 3³ + 29
4 - 27 + 29 = 6
6 is the value were looking for.
1. (78 ÷ 3) - \(2^{4}\)
(78 ÷ 3) - 16
26 - 16
= 10
not equal
2. 8³ - 14 × 6² - 2
512 - 14 × 36 - 2
512 - 504 - 2
= 6
equal
3. -|-6|
= -6
not equal
4. |-6|
= 6
equal
5. 7² - 3.1 - 19 · 2.1
49 - 3.1 - 19 · 2.1
49 - 3.1 - 39.9
45.9 - 39.9
= 6
equal
Hence, choices 2, 4, and 5 have a value of 2² - 3³ + 29.
hope this helps!
What is the slope of the line?
What is the value of x?
95 + 57 + x = 180 (the sum of angles in the triangle must equal 180)
152+x=180
x=180-152
x=28
in a library,30% books are fiction.what percentage are non fiction.if their are 50000 books in the library how many are fiction
Answer: 15,000 fiction books
Step-by-step explanation:
Percent of non-fiction: 70%
50,000*0.3=15,000
A basketball star earned $4,000,000 last year. He played in 64 games for an average of 42 minutes per game. Find the rate in dollars per minute of playing time.
Answer:
1433.09
Step-by-step explanation:
4,000,000 divided by 64 = 62,500
62,500 divided by 42 1,433.09
He makes 1433.09 per minute
someone please answer this quickly
the correct answer is b
Answer:
Reflection, then rotation.
Step-by-step explanation:
From 1 --> 2, the shape is reflected over an imaginary x-axis. Then it is rotated around a point at the tip of the triangular part to get from 2 --> 3.
Find a formula for the exponential function passing through thepoints (-1, 2/5 ) and (3,250)
The exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
By combining the fourth roots from both sides, we arrive at:
b = 5
When we use the expression we discovered for a and this value of b, we get:
a = (2/5) * 5 = 2
As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
what are functions?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
from the question:
This is the shape of the exponential function:
f(x) = a *\(b^x\)
where a represents the starting point and b represents the exponential function's base.
We must solve the system of equations to determine the values of a and b that meet the requirements:
a * \(b^(-1)\) = 2/5 (equation 1)
a *\(b^3\)= 250 (equation 2)
We can solve for an in equation 1 by multiplying both sides by b:
a = (2/5) * b
Substituting this expression into equation 2, we get:
(2/5) * b *\(b^3\) = 250
Simplifying, we get:
\(b^4 = 3125\)
By combining the fourth roots from both sides, we arrive at:
b = 5
When we use the expression we discovered for a and this value of b, we get:
a = (2/5) * 5 = 2
As a result, the exponential function between (-1, 2/5) and (3, 250) is as follows:
\(f(x) = 2 * 5^x\)
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What is the image point of (2, -5) after a rotation of 90 degrees counterclockwise about the origin?
Answer:
(5,-2)
Step-by-step explanation:
(x, y)=(y, -x)
(2,-5)=(5,-2)
90° clockwise=(5,-2)
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The simple linear regression equation can be written as E [Y] = Bo + B1X. The symbol X represents the (a) estimated or predicted response (b) estimated intercept (c) estimated slope (d) explanatory variable
The symbol X in the simple linear regression equation E[Y] = Bo + B1X represents the explanatory variable. This variable is also known as the independent variable or predictor variable.
It is the variable that is used to explain or predict the response variable, Y. In the context of the regression equation, X is typically a numerical or continuous variable. It represents the input or input values that are used to estimate or predict the expected value of the response variable, Y. In simple linear regression, the equation E[Y] = Bo + B1X describes the relationship between the explanatory variable X and the expected or average value of the response variable Y. The coefficients Bo and B1 represent the estimated intercept and slope, respectively. The intercept Bo represents the expected value of Y when X is equal to zero, while the slope B1 represents the change in the expected value of Y for each unit change in X. By using the estimated intercept and slope, the equation allows us to estimate or predict the value of Y based on a given value of X.
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1. Find the value of the constant m for which the area between the parabolas y = 2x^2 and y = – x^2 +6mx is 1/2.
The value of the constant m for which the area between the parabolas is 1/2 is m = 1/(12a^2), where a represents the x-coordinate of the point where the two curves intersect.
To find the value of the constant m for which the area between the parabolas y = 2x^2 and y = -x^2 + 6mx is 1/2, we need to set up an integral and solve for m.
The area between the two curves can be found by integrating the difference between the upper and lower curves with respect to x over the interval where they intersect.
First, let's find the x-values where the two curves intersect:
2x^2 = -x^2 + 6mx
Combining like terms:
3x^2 = 6mx
Dividing both sides by 3x^2 (assuming x ≠ 0):
1 = 2m
Therefore, the two curves intersect at m = 1/2.
Now, we can set up the integral to find the area between the curves:
A = ∫[a, b] [(upper curve) - (lower curve)] dx
Using the x-values where the curves intersect, the integral becomes:
A = ∫[-a, a] [(-x^2 + 6mx) - 2x^2] dx
Simplifying:
A = ∫[-a, a] [-3x^2 + 6mx] dx
Integrating:
A = [-x^3 + 3mx^2] |[-a, a]
Substituting the limits of integration:
A = [-(a)^3 + 3ma^2] - [-(−a)^3 + 3m(−a)^2]
Simplifying further:
A = -a^3 + 3ma^2 + a^3 - 3ma^2
A = 6ma^2
We want this area to be equal to 1/2, so we can set up the equation:
6ma^2 = 1/2
Simplifying and solving for m:
m = 1/(12a^2)
Therefore, the value of the constant m for which the area between the parabolas is 1/2 is m = 1/(12a^2), where a represents the x-coordinate of the point where the two curves intersect.
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twenty tiles are numbered through and are placed into box . twenty other tiles numbered through are placed into box . one tile is randomly drawn from each box. what is the probability that the tile from box is less than and the tile from box is either even or greater than ? express your answer as a common fraction.
The probability of first tile is less than 15, is 70% and the second tile is even or greater than 25, is 60%.
In the given question we have to find the probability of first tile is less than 15 and the second tile is even or greater than 25.
Tiles numbered 1 through 20 are placed in a box.
Tiles numbered 11 through 30 are placed in a second box.
One tile is randomly drawn from each box.
Now finding the probability of first tile is less than 15.
Since in first box tile is numbered as 1 to 20.
So the outcomes of less than 15 = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14
So favourable outcome = 14
Total number of tile = 20
So the probability = 14/20 = 70%
Now finding the probability of second tile is even or greater than 25.
Since in second box tile is numbered as 11 to 30.
So the outcomes of even or greater than 25 = 12, 14, 16, 18, 20, 22, 24, 26, 27, 28, 29, 30
So favourable outcome = 12
Total number of tile = 20
So the probability = 12/20 = 60%
Hence, the probability of first tile is less than 15, is 70% and the second tile is even or greater than 25, is 60%.
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The right question
"Tiles numbered 1 through 20 are placed in a box. Tiles numbered 11 through 30 are placed in a second box. One tile is randomly drawn from each box. Find each probability. The first tile is less than 15 and the second tile is even or greater than 25."
7x+3(8x+7) distributive property
Answer:
31x + 21
Step-by-step explanation:
use pemdas
7x+3(8x+7)
7x + 24x + 21
31x + 21
Answer:
30x + 7
Step-by-step explanation:
7x+3(8x+7)
then 3 * 8 = 24
the 3 * 7 = 21
then you have 7x + 24x +21
add like terms which arer 7x and 24x
you get 30x + 21
Someone please help I will give brainliest to the correct answer
Answer:
X inter= (-1.375,0)
Y inter= (0,2.2)
Step-by-step explanation:
I used "desmos graphing calculator"
If answer is right, check out desmos graphing calculator. It is a really good website where you enter equation and it graphs it for you.
I use desmos for questions that have anything to do with graphs
Answer:
x intersection (-1.375;0)
Y intersections (0;2.2)
Step-by-step explanation:
If u wanna find solutions to this kind of problems first write the equation if x/y=0 put it in equation and calculate to get y/x value ___ That way you will know in which point plot intersects y/x axis
Often, independent variables are available to build a regression model of a time series variable. group of answer choices true false
Answer:
true
Step-by-step explanation:
.............................
if Jordan has 2 apples and he buy 3 apples, how many apples do he has?
Answer:
5 apples
Step-by-step explanation:
Add 2 and 3 because you add what Jordan has and how much Jordan buys to find the total number of apples.
Answer:
He has 5 Hope it helps you
Step-by-step explanation:
You see he already has 2 apples then he buys 3 more which you just add 2+3=5
HELP ME ASP PLEASE thank you
3 times the sum of a number and 8
Answer:
uh 3x+24 only if the the number is x if it is definite just plug it in to the equation
Step-by-step explanation:
The answer because I do not understand
6 would be my guess
I'm probably wrong... but its worth a try?
Use the diagram to the right to find x.
a.
470
b. 29°
C.) 181°
Answer:
\(\large\boxed{\tt x = 47^{\circ}.}\)
Step-by-step explanation:
\(\textsf{We are asked to find the value of x.}\)
\(\textsf{We are given an angle with an arc measurement in between 2 \underline{chords}.}\)
\(\large\underline{\textsf{What is a Chord?}}\)
\(\textsf{A Chord is a line segment whose endpoints are \underline{on} the circle.}\)
\(\textsf{For our problem, we have 2 Chords that \underline{Intersect}.}\)
\(\textsf{Because the Intersection Point (Vertex) is inside the circle, we can identify x}\)
\(\textsf{using what we are given.}\)
\(\textsf{Intersecting Chords create an angle that is equal to half the sum of the 2 arcs.}\)
\(\underline{\textsf{Formatted into an equation;}}\)
\(\tt Angle = \frac{1}{2} (Arc \ 1 + Arc \ 2)\)
\(\textsf{We are given 2 out of 3 of these values, let's substitute them inside the equation.}\)
\(\tt 76^{\circ} = \frac{1}{2} (105^{\circ} + x \ (Arc \ 2))\)
\(\large\underline{\textsf{Solving;}}\)
\(\textsf{We should solve for x by simplifying the equation. Let's attempt to remove} \ \tt \frac{1}{2}\)
\(\textsf{from the equation by multiplying both sides of the equation by the reciprocal of}\)
\(\tt \frac{1}{2}. \ \textsf{Lastly, simplify then divide both sides of the equation by 2.}\)
\(\large\underline{\textsf{What is a Reciprocal?}}\)
\(\textsf{A Reciprocal is a fraction where the Numerator and Denominator are switched.}\)
\(\underline{\textsf{Multiply both sides of the equation by 2;}}\)
\(\textsf{2 is the reciprocal of} \ \tt \frac{1}{2} .\)
\(\tt 2 \times 76^{\circ} = 2 \times \frac{1}{2} (105^{\circ} + x)\)
\(\tt 152^{\circ} = 105^{\circ} + x\)
\(\underline{\textsf{Subtract 105 from both sides of the equation;}}\)
\(\tt 152^{\circ} - 105^{\circ}= 105^{\circ} - 105^{\circ} + x\)
\(\large\underline{\textsf{Hence;}}\)
\(\large\boxed{\tt x = 47^{\circ}.}\)
Which parent function is f(x) = 3*?
O A. The quadratic parent function
B. An exponential parent function
O C. The absolute value parent function
O D. The linear parent function
The function f(x) = 3ˣ is an exponential parent function. Choice B is correct.
Given that a parent function f(x)=3ˣ.
A parent function in arithmetic is the best function in a family of capacities that keeps the definition of the whole family. A function is characterized as the expression that set up the relationship between the subordinate variable and autonomous variable.
Exponential capacities are capacities that have logarithmic expressions in their example. Their parent function can be communicated as y = bx, where b can be any nonzero consistent.
Here the function is f(x) = 3ˣ where x can be any nonzero steady, at that point it is an exponential parent function.
Hence, the parent function of f(x)=3ˣ is an exponential parent function.
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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+187x+93
equation
Answer:
12.17secs
Step-by-step explanation:
Given the equation that models the height as y=-16x^2+187x+93
The rocket will hit the groung at y = 0
The equation becomes;
0 =-16x^2+187x+93
16x^2-187x-93 = 0
Factorize
x = 187±√187²-4(16)(-93)/2(16)
x = 187±√34,969+5952/32
x = 187±√40,921/32
x = 187±202.29/32
x = 187+202.29/32
x = 389.29/32
x = 12.17secs
Hence the required time that t will take is 12.17secs
A study of long-distance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 3.5 minutes and the standard deviation was 0.70 minutes. What is the probability that calls last between 3.5 and 4.0 minutes? (Round your z value to 2 decimal places and final answer to 4 decimal places.)
Answer:
0.2611
Step-by-step explanation:
Given the following information :
Normal distribution:
Mean (m) length of time per call = 3.5 minutes
Standard deviation (sd) = 0.7 minutes
Probability that length of calls last between 3.5 and 4.0 minutes :
P(3.5 < x < 4):
Find z- score of 3.5:
z = (x - m) / sd
x = 3.5
z = (3.5 - 3.5) / 0.7 = 0
x = 4
z = (4.0 - 3.5) / 0.7 = 0.5 / 0.7 = 0.71
P(3.5 < x < 4) = P( 0 < z < 0.714)
From the z - distribution table :
0 = 0.500
0.71 = very close to 0.7611
(0.7611 - 0.5000) = 0.2611
P(3.5 < x < 4) = P( 0 < z < 0.714) = 0.2611