Factor:
\(\begin{gathered} x^3-5x^2-2x+24=x((x-5)x-2)+24 \\ so\colon \\ x((x-5)x-2)+24=(x+2)(x-3)(x-4) \end{gathered}\)Answer:
x + 2
Wei wants to prove that the segment joining midpoints of two sides of a
triangle is parallel to the third side.
Select the appropriate rephrased statement for Wei's proof.
Now we know PR∥QX , according to construction with transversal line TX.
∠PTS=∠QXS (Alternate angle)
In △PTS and △QSX
∠PTS=∠QXS (Alternate angle)
∠PST=∠QSX(vertically opposite angles)
PS=SQ(S is mid point of PQ)
△PTS≅△QSX(AAS rule)
So, TP=QX(CPCT)
As we know, TP=TR (T is midpoint)
Hence, TR=QX
Now, in quadrilateral TSQR
TS∥QR
Hence proved.
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Vertical angles are two angles that are ___ of each other when two intersect. These angles are
Answer:
The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.
Step-by-step explanation:
brainliest???
Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.
What are vertical angles?Vertical angles are angles opposite to each other where two lines cross.
When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.
These pair of angles are congruent which means they have the same angle measure.
Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.
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based on historical data, the probability that a major league pitcher pitches a no-hitter in a game is about 1/1300. round your answers to three decimal places, if necessary. a. use the binomial distribution to determine the probability that in 650 games 0, 1, 2, or 3 no-hitters will be pitched. (find the separate probabilities of these four events.)
The probability that in 650 games 0, 1, 2, or 3 no-hitters will be pitched:
No-hitters probability
0 0.5944
1 0.3093
2 0.0804
3 0.0139
In this question, we have been given the probability that a major league pitcher pitches a no-hitter in a game is about 1/1300.
We need to determine the probability that in 650 games 0, 1, 2, or 3 no-hitters will be pitched.
Here, p = 1/1300
= 0.0008
q = 1 - p
= 1 - 1/1300
= 1299/1300
= 0.9992
And n = 650
We know that the binomial distribution formula.
P(x) = nCx * p^(x) * q^(n - x)
Using binomial distribution we find required probability.
For x = 0,
P(x = 0) = 650C0 * (1/1300)^0 * (1299/1300)^(650 - 0)
P(x = 0) = 1 * 1 * (0.9992)^650
P(x = 0) = 0.5944
For x = 1,
P(x = 1) = 650C1 * (1/1300)^1 * (1299/1300)^(650 - 1)
P(x = 1) = 650 * (0.0008) * (0.9992)^649
P(x = 1) = 0.52 * 0.5948
P(x = 1) = 0.3093
For x = 2,
P(x = 2) = 650C2 * (1/1300)^2 * (1299/1300)^(650 - 2)
P(x = 2) = 210925 * (0.0008)^2 * (0.9992)^648
P(x = 2) = 0.0804
For x = 3,
P(x = 3) = 650C3 * (1/1300)^3 * (1299/1300)^(650 - 3)
P(x = 3) = 45559800 * (0.0008)^3 * (0.9992)^647
P(x = 3) = 0.0139
Therefore, the probability that in 650 games 0, 1, 2, or 3 no-hitters will be pitched are 0.5944, 0.3093, 0.0804, and 0.0139 respectively.
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Please help me with this AP Calculus question!!
9514 1404 393
Answer:
B. 3
Step-by-step explanation:
If all you want is a numerical result, sometimes a graphing calculator can provide that easily. The attachment shows it calculates the slope at x=4 to be 3.
dy/dx = 3 at x = 4
__
The derivative of the expression can be found from the quotient formula:
d(u/v) = (du·v -u·dv)/v²
y' = ((x -2)(2x -7) -(x^2 -7x +2)(1))/(x -2)^2
= (2x^2 -11x +14 -x^2 +7x -2)/(x -2)^2
= (x^2 -4x +12)/(x -2)^2
= ((x -4)x +12)/(x -2)^2
Then for x=4, we have ...
y' = 12/4 = 3
dy/dx = 3 at x = 4
Answer:
The answer is B:3
Step-by-step explanation:
I saw this in class
−3 2/3=x−1 1/4 pls help
Answer:
- 2 5/12Step-by-step explanation:
−3 2/3 = x − 1 1/4x = - 3 2/3 + 1 1/4x = - 2 - 2/3 + 1/4x = - 2 - 8/12 + 3/12x = - 2 - 5/12x = - 2 5/12What’s the measure of PLEASE HELP ASSP
Answer:
30
Step-by-step explanation:
There are 20 circles and 12 triangles. What is the simplest ratio of triangles to total shapes
Answer:
3:8
Step-by-step explanation:
You can divide both numbers by 4, that gets you to your simplest ratio. :)
The ratio of the triangles to the total shape will be equal to 3: 8.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
For instance, if there is 1 boy and 3 girls, you may express the ratio as 1: 3 (there are 3 girls for every boy), meaning that there are 1 in 4 boys and 3 in 4 girls.
Given that there are 20 circles and 12 triangles. The ratio will be calculated as,
Ratio = triangles / total shape
Ratio = 12 / ( 20+ 12 )
Ratio = 12 / 32
Ratio = 3 / 8
Therefore, the ratio of the triangles to the total shape will be equal to 3: 8.
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Evaluate x^{3} - 3y when x = -3 and y = 4.
Answer:
-39
Step-by-step explanation:
Substitute x by - 3 and y by 4
(-3)^3 - 3 *4 = - 39
Which equation is equivalent to this equation and written with the same base?
4x+1=16x−1
Answer:
\( 2^{2x + 2} = 2^{4x - 4} \)
Step-by-step explanation:
\( 4^{x + 1} = 16^{x - 1} \)
\( 2^{2(x + 1)} = 2^{4(x - 1)} \)
\( 2^{2x + 2} = 2^{4x - 4} \)
A transport company is greatly reducing the amount of oil it uses—but by how much? What number should be below the final barrel?
Answer:
2
Step-by-step explanation:
first nomber,
19247
second nomber,
7429
third nomber,
924
fourth nomber,
42
fifth nomber,
2
Answer:
2
Step-by-step explanation:
no. 1 is 19247
no. 2 is 7429 ,so the last four number of 19247 are reply
no. 3 is 924 ,so the last three number of 7429 are reply
no. 4 is 42 ,so the last two number of 924 are reply
no. 5 is 2,so, the last number of 42 are reply
What is an equation of the line that passes through the point ) (8,−5) and is parallel to the line
5x+4y=24?
By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.
The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.
To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.
Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.
Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.
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In circle S with m/RST = 84 and RS = 8 units, find the length of arc RT. Round
to the nearest hundredth.
The length of the arc RT is 11.72 units.
What is an arc?An arc is defined as a portion of the boundary of a circle or a curve.
To calculate the length of the arc RT, we use the formula below
Formula:
L = 2πr∅/360.................. Equation 1Where:
L = Length of an arcr = Radius of the circle∅ = Angle subtends at the center of the circle by the arcFrom the question,
Given:
r = 8 units∅ = 84°π = 3.14Substitute these values into equation 1
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9.)Jeanne has 3 7/8 yards of fabric. She needs 1 1/4 yards to make a pair of
shorts. How many pairs of shorts can she make?
She can make 3 shorts
Jeanne can make 3 pairs of shorts with 3 7/8 yards of fabric.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
Given that,
The total amount of fabric = 3 7/8 yards = 31/8 yards.
Amount of fabric needed to make 1 pair of shorts = 1 1/4 = 5/4 yards.
The number of shorts that can be made = 31/8 ÷ 5/4
⇒ 3.1 so it will be 3 because no relevance of decimal shorts.
Hence "Jeanne can make 3 pairs of shorts with 3 7/8 yards of fabric".
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11 less than the quotient of
4
44 and
�
xx.
The expression which is used to represents the statement "one-more than the quotient of a number x" and 4 is "x/4 + 1".
A "Quotient" is the result of a division operation between two numbers, where one number is divided by another. It represents the number of times one number is contained within another number.
An "Expression" is defined as "mathematical-phrase" which contain numbers, variables, and operators such as addition, subtraction, multiplication, and division. It can also contain functions and other mathematical symbols.
The quotient of a number"x" and 4 can be written as x/4.
So, one more than the quotient of a number x and 4 can be represented by the expression:
⇒ x/4 + 1,
Therefore, required mathematical expression is "x/4 + 1".
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The given question is incomplete, the complete question is
Write an expression to represent : One more than the quotient of a number x and 4.
100 points
(algebra one)
describe and correct the error in comparing the graphs
actually answer this please!!
9514 1404 393
Answer:
The description of the translation direction should be "up", not "down."
Step-by-step explanation:
The blue graph of y = x²+3 is above the graph of the parent function y = x². That is, it is a copy of y = x² that has been moved (translated) up.
The correct description is ...
The graph of y=x²+3 is a translation 3 units up of the graph y=x².
What is 41 + 3 HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
44
Step-by-step explanation:
Answer: 44
Step-by-step explanation:
This is quite simple, Are you sure you can't do it on your own?
help pls its due in 1 hour !!!!
Answer:
Hello Love! This is A Triangular Prism
Hope that helps!
Answer: Triangular Prism
Step-by-step explanation:
There’s no way to explain this, but you can easily find the answer by searching “what does a rectangular prism look like” and go through each of the answer choices until you find one that matches.
The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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You will get 60 points!!!!
What is 1 whole as a fraction, decimal and percentage?
Fraction = 1/1
decimal = 1.0 or 1
percentage = 100%
PLEASE HELP I NEED THE ANSWER RN
Answer: B
Step-by-step explanation:
Amplitude will be half the distance from 28 to 50
one cycle is given to be 8 hrs, so thats all you need for the right answer choice.
Among all pairs of numbers whose sum is 24, find a pair whose product is as large as possible. Show the work(the steps)! Write an equation of the corresponding quadratic function. How parabola opens? What is the maximum product? Does this function has a maximum value or the minimum value? Explain. Graph the function and upload the image.
The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.
To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.
Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.
To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:
P(x) = x(24 - x)
This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.
The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.
To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.
Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.
So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.
Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.
To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]
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∠A and ∠B are complemntry angles. If m∠A = (3x+18) and m∠B = (2x+17) then find the measure of ∠A
Work Shown:
Complementary angles add to 90 degrees.
A+B = 90
(3x+18)+(2x+17) = 90
5x+35 = 90
5x = 90-35
5x = 55
x = 55/5
x = 11
Then we can determine each angle:
angle A = 3x+18 = 3*11+18 = 33+18 = 51 degrees is the final answerangle B = 2x+17 = 2*11+17 = 22+17 = 39 degreesAs a check: A+B = 51+39 = 90 to confirm the answer.
There are 9 players on a youth baseball team. To create the lineup, the coach chooses three players to play pitcher, catcher, and first base. How many ways can the coach choose these three positions?
Step-by-step explanation:
how many ways can the coach make out the batting order? 9! = 9 · 8 · 7 · 6 · 5 ·4 · 3 · 2 · 1 = 362,880 .
Penelope translated the statement into an equation. Is she correct? A number increased by twenty is twenty-one. 20p = 21 Yes, Penelope is correct. No, “increased by” means addition. The correct equation is p + 20 = 21. No, Penelope has the constants in the wrong position. The correct equation is 21p = 20. No, “increased by” means division. The correct equation is p ÷ 20 = 21.
Answer:
No.
Step-by-step explanation:
Increased by means addition. The correct equation is p + 20 = 21. Increased by a factor of means multiplication while increased by means addition,
Answer:
B
Step-by-step explanation:
i got the question right!
Two functions, A and B, are described as follows: Function A y = 8x + 3 Function B The rate of change is 1 and the y-intercept is 4. How much more is the rate of change of function A than the slope of function B? (5 points) Question 12 options: 1) 1 2) 7 3) 8 4) 9
i need it now
The rate of change is 7 more of function A than the slope of function B.
What is meant by slope?Slope is calculated as the ratio of "vertical change" to "horizontal change" between any two points on a line, or any two points. When the ratio is expressed as a quotient ("rise over run"), the same number is provided for every two distinct locations on the same line. There is a negative "rise" on a descending line.
Since y=8x+3,
The rate of change in equation A is equal to the slope m m=8.
The rate of change, m=1, is given in equation B.
y=mx+ is the solution to equation B.
By substituting the values we get,
y=x+4
Calculate the difference between the rates of change of function A and function B.
8-1=7
Therefore, the rate of change is 7 more of function A than the slope of function B.
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Select all lengths that are equal to 3 yards 16 inches.
The lengths equal to 3 yards 16 inches are 3 yards, 108 inches, 3.44 yards (approximately), and 108.44 inches (approximately).
To determine the lengths that are equal to 3 yards 16 inches, we need to convert the measurements into a consistent unit. Since both yards and inches are units of length, we can convert the inches into yards or the yards into inches to find the equivalent lengths.
1 yard is equal to 36 inches (since 1 yard = 3 feet and 1 foot = 12 inches).
Therefore, 3 yards is equal to 3 * 36 = 108 inches.
Now, we can compare 108 inches to 3 yards 16 inches.
108 inches is equal to 3 yards, so it matches the given length.
To convert 16 inches into yards, we divide it by 36 since 1 yard = 36 inches. 16 inches / 36 = 0.44 yards.
Therefore, 3 yards 16 inches is equivalent to:
3 yards
108 inches
3 yards 0.44 yards (or approximately 3.44 yards)
108 inches 0.44 yards (or approximately 108.44 inches)
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VX is a perpendicular bisector of chord ZC. Find the length of the diameter VX.
In this case, we can identify two similar triangles like this:
Since VX is a bisector of ZC it cuts ZC into two equal-length segments, then ZY and YC have the same length and we can formulate the following expression:
ZY = YC
ZY = 18
Since we are dealing with similar triangles, we can formulate the following expressions for VYZ and ZYX:
\(\frac{VY}{ZY}=\frac{ZY}{XY}\)By replacing 18 for ZY and 27 for XY, we get:
\(\frac{VY}{18}=\frac{18}{27}\)By multiplying both sides by 18, we can solve for 18, to get:
\(VY=\frac{18}{27}\times18=12\)By adding the length of VY to the length of XY, we get:
VY + XY = 12 + 27 = 39
Adding VY to XY we should get VX, which is the diameter of the circle. Then VX = 39
you are given the following probability distribution for a stock probability outcome 5 6 5 18 1 a compute the expected return 0.5 0.06 0.5 0.18 6 2 b compute the standard deviation 3 c compute the coefficient of variation
If probability distribution for a stock probability outcome is 5, 6 ,5 ,18, 1.
a) The expected return is 1.56
b) The standard deviation is 5.1715
c) The coefficient of variation is 331.25%.
To calculate the expected return, we multiply each possible outcome by its probability and then sum the results. For example, the expected return from a 5% return is calculated as 0.5 x 5%, or 0.025. We do this for each possible outcome and then sum the results to get the expected return for the investment.
In this case, the expected return is 1.56, which means that over the long run, we can expect to earn an average return of 1.56% on this investment.
The standard deviation is a measure of how much the possible outcomes of an investment vary from the expected return. A higher standard deviation means that the possible returns are more spread out, while a lower standard deviation means that the possible returns are more tightly clustered around the expected return.
To calculate the standard deviation, we first need to calculate the variance, which is the average of the squared deviations from the expected return.
To calculate the variance, we first calculate the deviation of each possible outcome from the expected return. For example, the deviation of a 5% return from the expected return of 1.56% is 5% - 1.56% = 3.44%.
We then square each deviation and multiply it by the probability of that outcome. We do this for each possible outcome, and then sum the results to get the variance. In this case, the variance is 26.7424, which means that the possible returns are quite spread out.
The coefficient of variation is a measure of the risk per unit of return. It is calculated by dividing the standard deviation by the expected return and then multiplying by 100% to get a percentage. In this case, the coefficient of variation is 331.25%, which means that the investment is quite risky relative to its expected return.
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Francine received a gift card to buy cell
phone apps. She says that the card’s value
is enough to buy any of the apps:
recipes-$9.50, W02 sports-$10.50, or
Remote desktop-$12.00. Let v be the dollar
value of the gift card. Write an inequality
that best describes the value of the gift
Card.
How many apps can Francine buy with the giftcard? Explain
The inequality that best describes the value of the gift card is v ≥ 12
What is inequality?
An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
The inequality above states that the gift card, v could have $12 or possibly more on it because we know the most expensive app his gift card can buy is $12.
The inequality that best describes the value of the gift card is v ≥ 12
He can buy apps that are worth greater than or equal to $12
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A partial solution set is given for the polynomial equation. Find the complete solution set. (Enter your answers as a comma-separated list.)2x^3 − 5x^2 − 28x + 15 = 0; {1/2}
Answer:
2x^3 − 5x^2
Step-by-step explanation: