The answer is A. \(\frac{(x-2)(x+6)}{x-6}\).
opposite of 45 i need help beause on opposite i am so i don't know the answer alos have opposite 21 and alos 52 and 9,6, 89 all my last one then i have stuff like 17+N= and i don't know that i need help
Answer: the opposite of 45 is......-45????
Step-by-step explanation: um your question is a little unclear, but the opposite of 45 is -45.
Answer:
the opposite of a number is just that number with a negative sign because it is flipped to the other side of zero
Step-by-step explanation:
i think that's what u wanted but the question was kind of unclear
Dennis, Sanani
Ajar contains marbles of different colors. The probability of drawing a red marble at random is
What is the probability, and the likelihood, that the marble drawn is not red?
o ; likely
O : likely
o $; unlikely
of unlikely
Calculator
Look up "Everything You Need To Know About (Your Subject) In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in my class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught in it so it might help you.
Let A and B be events with P(A)=0. 2, P(B)=0. 84, and P(B|A)=0. 8.
Find P(A and B)
The probability of the intersection of events A and B (P(A and B)) is 0.16 or 16%.
To find the probability of the intersection of events A and B (P(A and B)), we can use the formula:
P(A and B) = P(A) * P(B|A)
Given that P(A) = 0.2 and P(B|A) = 0.8, we can substitute these values into the formula:
P(A and B) = 0.2 * 0.8
Calculating this expression gives us:
P(A and B) = 0.16
Therefore, the probability of the intersection of events A and B (P(A and B)) is 0.16 or 16%.
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673 divided by 458 please HELPPP!!!!
Answer:
1.46943231441048
Step-by-step explanation:
Which value is the best estimate for
√
162
Answer:
12.7
Step-by-step explanation:
הום חמווובוביות חוב פובוס
2
M
150
K к
9
12
180
090
9514 1404 393
Answer:
a = 6
Step-by-step explanation:
A triangle inscribed in a semicircle is always a right triangle, so ...
15a° = 90°
a = 90/15
a = 6
what is 4x^2 + 12x - 6 = 0 rewritten in x^2 + b/a = -c/a format?
Answer:
Step-by-step explanation:
devide both sides by 4 it will be:
x^2 +3x -3/2 = 0
Using Laplace Transforms, find the solution of the initial value problem: d²y +9y =9. sin(t). U(t - 3), = y(0) = y'(0) = 0 dx²
The solution to the given initial value problem, obtained using Laplace transforms, is y(x) = 0. This means that the function y(x) is identically zero for all values of x.
To find the solution of the initial value problem using Laplace transforms for the equation d²y/dx² + 9y = 9sin(t)u(t - 3), where y(0) = y'(0) = 0, we can follow these steps:
Take the Laplace transform of the given differential equation.
Applying the Laplace transform to the equation d²y/dx² + 9y = 9sin(t)u(t - 3), we get:
s²Y(s) - sy(0) - y'(0) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))
Since y(0) = 0 and y'(0) = 0, the Laplace transform simplifies to:
s²Y(s) + 9Y(s) = 9 * (1/s² + 1/(s² + 1))
Solve for Y(s).
Combining like terms, we have:
Y(s) * (s² + 9) = 9 * (1/s² + 1/(s² + 1))
Multiply through by (s² + 1)(s² + 9) to get rid of the denominators:
Y(s) * (s⁴ + 10s² + 9) = 9 * (s² + 1)
Simplifying further, we have:
Y(s) * (s⁴ + 10s² + 9) = 9s² + 9
Divide both sides by (s⁴ + 10s² + 9) to solve for Y(s):
Y(s) = (9s² + 9)/(s⁴ + 10s² + 9)
Partial fraction decomposition.
To proceed, we need to decompose the right side of the equation using partial fraction decomposition:
Y(s) = (9s² + 9)/(s⁴ + 10s² + 9) = A/(s² + 1) + B/(s² + 9)
Multiplying through by (s⁴ + 10s² + 9), we have:
9s² + 9 = A(s² + 9) + B(s² + 1)
Equating the coefficients of like powers of s, we get:
9 = 9A + B
0 = A + B
Solving these equations, we find:
A = 0
B = 0
Therefore, the decomposition becomes:
Y(s) = 0/(s² + 1) + 0/(s² + 9)
Inverse Laplace transform.
Taking the inverse Laplace transform of the decomposed terms, we find:
L^(-1){Y(s)} = L^(-1){0/(s² + 1)} + L^(-1){0/(s² + 9)}
The inverse Laplace transform of 0/(s² + 1) is 0.
The inverse Laplace transform of 0/(s² + 9) is 0.
Combining these terms, we have:
Y(x) = 0 + 0
Therefore, the solution to the initial value problem is:
y(x) = 0
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Which statement is true?
Answer:
B is the correct answer
Step-by-step explanation:
4. Find the critical number(s) of the function F(x) = x-1/x^2-x+2
5. Find the critical number(s) of the function F(x) = x^3/4 – 2x^1/4
6. Find the critical number(s) of the function F(x) = x^4/5(x-4)^2
The critical number is also x = 4.To find the critical number(s) of a function, we need to first take the derivative of the function and then find where the derivative is equal to zero or undefined.
4. F(x) = x-1/x^2-x+2
To find the derivative, we can use the quotient rule:
F'(x) = [(x^2-x+2)(1) - (x-1)(2x-1)] / (x^2-x+2)^2
Next, we need to find where F'(x) is equal to zero or undefined.
Setting the numerator equal to zero gives:
(x^2-x+2) - (2x^2-3x+1) = 0
-x^2 + 4x - 1 = 0
Using the quadratic formula, we can solve for x:
x = (4 ± sqrt(16-4(-1)(-1))) / (-2)
x = (4 ± sqrt(20)) / (-2)
x = 1 ± sqrt(5)
So the critical numbers are 1 + sqrt(5) and 1 - sqrt(5).
5. F(x) = x^3/4 – 2x^1/4
To find the derivative, we can use the power rule:
F'(x) = (3/4)x^-1/4 - (1/2)x^-3/4
Next, we need to find where F'(x) is equal to zero or undefined.
Setting the numerator equal to zero gives:
3x^-1/4 - 2x^-3/4 = 0
Multiplying both sides by x^3/4 gives:
3 - 2x = 0
Solving for x gives:
x = 3/2
So the critical number is 3/2.
6. F(x) = x^4/5(x-4)^2
To find the derivative, we can use the quotient rule:
F'(x) = [(x-4)^2(4x^3/5) - x^4/5(2(x-4)(1))] / (x-4)^4
Simplifying gives:
F'(x) = (2x^3 + 16x^2 - 32x) / 5(x-4)^3
Next, we need to find where F'(x) is equal to zero or undefined.
Setting the numerator equal to zero gives:
2x(x^2 + 8x - 16) = 0
Using the quadratic formula, we can solve for x:
x = (-8 ± sqrt(64 + 8(16))) / 2
x = (-8 ± sqrt(192)) / 2
x = -4 ± 2sqrt(6)
So the critical numbers are -4 + 2sqrt(6) and -4 - 2sqrt(6). However, we also need to check if the derivative is undefined at x = 4.
Plugging in x = 4 gives:
F'(4) = (2(4)^3 + 16(4)^2 - 32(4)) / 5(4-4)^3
F'(4) = undefined
So the critical number is also x = 4.
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Help please URGRENTTTTT
The graph below shows a company’s profit f(x), in dollars, depending on the price of pens x in dollars sold by the company:
Part A: what do the x-intercepts and maximum value of the graph represent? What are the intervals where the function increasing and decreasing, and what do they represent about the dale and profit?
Part B: what is an approximate average rate of change of the graph from x=3 to x=5, and what does this rate represent?
Part C: describe the constraints of the domain
Answer:
Part AThe x-intercepts are reflecting zero-profit: (0, 0) and (6, 0).
The maximum value of the graph is at vertex (3, 120): maximum profit when the price is $3.
The function is increasing until the vertex, between x-value of 0 to 3 and is decreasing once it reached the vertex, between x-value of 3 to 6.
In the first interval the sale and profit increases, in the second interval the sale and profit decreases.
Part BAverage rate of change from x = 3 to x = 5 is:
(f(5) - f(3))/(5 - 3) = (60 - 120)/2 = -30This represents the profit drop of $30 per $1 price increase when price changes from $3 to $5.
Part CThe domain is representing the price. It should be profitable so it is between $0 and $6.Chara sold 52 boxes of candy for her marching band fundraiser. The large box costs $3.50 each and the small box costs $1.75 each. If Chara sold $112 worth of candy, how many boxes of each size did she sell?
Answer:
The number of boxes of candy sold are:
40 small boxes and
12 large boxes of candy.
Step-by-step explanation:
Let the number of small boxes sold = x
Let the number of large boxes sold = y
we are given the following information:
x + y = 52 - - - - - -(1) (Chara sold 52 boxes of candy)
3.5(y) + 1.75(x) = 112 - - - - - - (2) (Chara sold $112 worth of candy)
From the two equations above, x and y can be solved as follows:
x + y = 52 - - - - - -(1)
x = 52 - y - - - - - - (3)
putting the value if x in equation (3) to replace x in equation (2);
3.5(y) + 1.75(x) = 112 - - - - - - (2)
3.5(y) + 1.75(52 - y) = 112
3.5y + 91 - 1.75y = 112
(3.5y - 1.75y) + 91 = 112
1.75y = 112 - 91 = 21
y = 21 ÷ 1.75 = 12
y = 12
Now, let us put the value of y into equation (3)
x = 52 - y - - - - - - (3)
x = 52 - 12 = 40
Therefore,
40 small boxes and 12 large boxes of candy were sold.
I need some help please I'm having trouble
Answer:
B) √5, 5/2, 2.71 (repeating), 2 3/4
Step-by-step explanation:
1) For me, I convert the fractions and squared numbers into decimals
2) 2 3/4 = 2.75
3) √5 (the square root of five) ≈ 2.236
4) 5/2 = 2.5
5) now list the numbers from least to greatest
5) Which number is the least? √5
6) Next? 5/2
7) Next? 2.71 repeating
8) Greatest? 2 3/4
Hope this helps you, good luck with your assignment, and if possible, please mark me brainliest.
3x2 + 2x - 5 and -4 + 7x2
Answer:
10x+2x-1 i guess ??
Step-by-step explanation:
$12000 into an investment account for 5 years. The investment earns 6% interest per
annum, compounding quarterly.
What is the interest rate per quarter?
Answer:
We may use the logarithm formula,
N = ln(EV/SV) ÷ ln(1+r), where (1+ r) is the value of 1 plus interest for 1 year.
EV is end value, SV is start value.
EV is 20000, SV is 12000, interest is 5.6% semi annual
(1+r) is obtained as,
Step-by-step explanation:
a random variable is normally distributed with a mean of 50 and a standard deviation of 5. 1. what is the probability that the random variable will assume a value between 42.5 and 57.5 (round up your answer to 4 decimals)? 2. what is the probability that the random variable will assume a value more than 65 (round up your answer to 4 decimals)?
1) The probability that the random variable will assume a value between 42.5 and 57.5 is 0.8664, rounded up to 4 decimals.
2) The probability that the random variable will assume a value more than 65 is 0.0013, rounded up to 4 decimals.
Using the standard normal distribution table, we need to convert the values of interest into z-scores, which represent the number of standard deviations away from the mean. The formula to calculate the z-score is:
z = (x - μ) / σ
where x is the value of interest, μ is the mean, and σ is the standard deviation.
For the lower limit of 42.5, the z-score is:
z = (42.5 - 50) / 5 = -1.5
For the upper limit of 57.5, the z-score is:
z = (57.5 - 50) / 5 = 1.5
Using the standard normal distribution table, we can find the area under the curve between the z-scores of -1.5 and 1.5, which is 0.8664.
To answer this question, we need to find the area under the normal distribution curve to the right of the value of interest, which represents the probability of the random variable assuming a value greater than 65.
Using the z-score formula, the z-score for 65 is:
z = (65 - 50) / 5 = 3
Using the standard normal distribution table, we can find the area under the curve to the right of the z-score of 3, which is 0.0013.
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Lable the missing sides of the triangle. Explain.
The lengths of the missing sides are;
sin 30 = a/2
cos 30 = b/2
How to determine the identitiesFirst, we have to know that the different trigonometric identities are listed as;
sinecosinetangentcotangentsecantcosecantThe ratio of the identities are;
sin θ = opposite/hypotenuse
cos θ = adjacent/hypotenuse
tan θ = opposite/adjacent
We have from the diagram shown that;
2 is the hypotenuse side
Let the opposite side of 30 degrees be a
Let the adjacent side of 30 degrees be b
Then, we have that;
sin 30 = a/2
cos 30 = b/2
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Which is the solution to the equation 0.5 x + 4.2 = 5.9? Round to the nearest tenth if necessary.
0.9
3.4
5.1
20.2.
Ellie is 5 times as old as her sister Emma. In 2 years Ellie will be 3 times as Emma. How old is Emma now?
Answer:
8 years old maybe.
what are the values of each variable
Answer:
x=14
Step-by-step explanation:
2x+4=3x-10
Add 10 to both sides, leaving you with
2x+14=3x
Subtract 2x from both sides, leaving you with
x=14
classify each structure according to its functional class. compound a contains a carbonyl bonded to two alkyl groups. compound b contains an oxygen bonded to two alkyl groups. compound c contains a carbonyl bonded to propyl and n h c h 3. compound d is a nitrogen bonded to three alkyl groups.
The classification of the compounds according to their functional class: A | Aldehyde
B | Alcohol
C | Ketone
D | Amine
Compound A contains a carbonyl group (C=O) bonded to two alkyl groups (R-). This is the general structure of an aldehyde. Aldehydes are characterized by their strong, sweet odor.
They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.
Compound B contains an oxygen atom (O) bonded to two alkyl groups (R-). This is the general structure of an alcohol. Alcohols are characterized by their ability to dissolve other polar compounds, such as water. They are also used in a variety of products, such as solvents, cleaners, and fuels.
Compound C contains a carbonyl group (C=O) bonded to a propyl group (CH3CH2CH2-) and an amino group (NH2). This is the general structure of a ketone.
Ketones are characterized by their strong, sweet odor. They are also very reactive, and can be used to make a variety of other compounds, such as esters and carboxylic acids.
Compound D contains a nitrogen atom (N) bonded to three alkyl groups (R-). This is the general structure of an amine. Amines are characterized by their basic properties. They are also used in a variety of products, such as pharmaceuticals, plastics, and fertilizers.
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1 + 4.25n + 3/2p – 3 + (–2p) + 5/4n simplify
A. 5.5n – 1/2p – 2
B. 9.5n + 1.5p – 2
C. 9/4n − 1.5p − 4
D. 3.75n – p + 1
\(\longrightarrow{\green{A.\:5.5 \: n - \frac{1}{2} \: p - 2}}\) ✔
\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}\)
\(1 + 4.25 \: n + \frac{3}{2} \: p - 3 + ( - 2 \: p) + \frac{5}{4} \: n \)
Combining like terms, we have
\( = 4.25 \: n + \frac{5}{4} \: n + \frac{3}{2} \: p - 2 \: p + 1 - 3 \\ \\= 4.25 \: n + 1.25 \: n + 1.5 \: p - 2 \: p - 2 \\\\ = 5.5 \: n - 0.5 \: p - 2 \\ \\ = 5.5 \: n - \frac{1}{2} \: p - 2\)
\(\bold{ \green{ \star{ \orange{Mystique35}}}}⋆\)
1. Explain why the diagram shows that 6(3 + 4) = 6(3) +6(4). 2. Draw a diagram to show that 5(x + 2) = 5x+ 10.
Given the expression:
\(6(3+4)=6(3)+6(4)\)The expression shows the distribution property of addition
So, 6 ( 3 +4 ) = 6 * 7 = 42
Which will give the same result if we distribute 6 over 3 and 4
So, 6 (3) + 6(4) = 18 + 24 =42
Show the following diagram:
As shown, the rectangle on the left side has 3 rows + 4 rows
Which will give us 7 rows when divided to 6 column will give 42 squares
While the rectangles on the right side. we have divided it to 3 rows and 4 rows, each one of them is divided to 6 column which will give us 18 squares and 24 squares the sum of them will give us 42 squares
So, 6 ( 3 + 4 ) = 6(3) + 6 (4)
30 POINTS!!!!!!!!!
Which of the following tables represents a function?
A.
B.
C.
D.
PLS ANSWER FAST AND CORRECT!!
Answer:
B
Step-by-step explanation:
Each input is related to exactly one output, and it's progressing in a linear fashion.
the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is:
The proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.
What is square of correlation coefficient?
A helpful number in linear regression is the square of the correlation coefficient, or r2.
The percentage of the variance in one variable that can be partially explained by another variable is represented by this value.
The summary table in the Regression output contains the "R" value, which is the coefficient of correlation.
Coefficient of determination is another name for R square. To calculate R squared, multiply R by R.
The square of the correlation coefficient is what is meant by the term "coefficient of determination."
Hence, the proportion of the variation in the values of a response y that is explained by the least-squares regression of y on x is: square of correlation coefficient.
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Where will the reflection of A over the y-
axis be?
Quadrant
Duadrant
Quadrant V
Duadrant
Answer:
The reflection will be on the first quadrant
Step-by-step explanation:
Here, we want to reflect the given point over the y-axis
By reflecting over the y-axis, we simply have to negate the x-coordinate value
So after the reflection, the point (-8,5) becomes (8,5)
(8,5) is a point on the first quadrant
So we have the position after the reflection on the first quadrant
I think the answer is A. <7 and <15. Am I right?
Answer:
yes u are right on the answer
Answer:
yes
Step-by-step explanation:
corresponding angles have the same measurement
i need help getting how do i do this??
Answer:
5 units
Step-by-step explanation:
By distance formula:
\(r = \sqrt{(4 - 1) ^{2} + {(7 - 3)}^{2} } \\ \\ r = \sqrt{ {3}^{2} + {4}^{2} } \\ \\ r = \sqrt{9 + 16} \\ \\ r = \sqrt{25} \\ \\ r = 5\)
Answer:
radius = 5 units
Step-by-step explanation:
The radius is the distance from the centre to a point on the circle.
Calculate r using the distance formula
r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (4, 7)
r = \(\sqrt{(4-1)^2+(7-3)^2}\)
= \(\sqrt{3^2+4^2}\)
= \(\sqrt{9+16}\)
= \(\sqrt{25}\)
= 5
Use the given values of n and p to find the minimum usual value μ − 2σ and the
maximum usual value μ + 2σ. Round your answer to the nearest hundredth unless
otherwise noted.
n = 261, p =1/5
Minimum: 65.12; maximum: 39.28
Minimum: 39.28; maximum: 65.12
Minimum: 45.74; maximum: 58.66
Minimum: 43.06; maximum: 61.34
After answering the question provided, we can predict that the result will be as by equation As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular software are identical. like in 2x - 4 = 2, for example.
A binomial distribution with the specified values of n and p has a mean of = np and a standard deviation of = sqrt(np(1-p)).
Inputting n = 261 and p = 1/5 results in:
μ = np = 261 × 1/5 = 52.2
5.28 is equal to sqrt(np(1-p)) = sqrt(261 1/5 4/5)
Calculating the minimal typical value of 2 is as follows:
μ − 2σ = 52.2 − 2 × 5.28 ≈ 41.64
The calculation for the maximum typical value + 2 is as follows:
μ + 2σ = 52.2 + 2 × 5.28 ≈ 62.76
These values are rounded to the nearest hundredth, giving us:
The range is 41.64 to 62.76.
As a result, the correct response is: Minimum: 41.64; Maximum: 62.76.
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Answer:
Minimum: 39.28; maximum: 65.12
An angle measures 86° less than the measure of its supplementary angle. What is the measure of each angle?
The angle if an angle measures 86° less than the measure of its supplementary angle is 133.
Supplementary angles are two angles whose measures add up to 180° .
Supplementary Angles
Let the measure of one of the supplementary angles be a .Measure of the other angle is 2 times a .So, measure of the other angle is 2a .If the sum of the measures of two angles is 180° , then the angles are supplementary.Let the angle be "x".
Its supplementary angle is "180-x"
Equation:
180 - x - x = 86
180 - 2x = 86
2x = 180 - 86
2x = 94
x = 47
Angle x = 47 degrees
supplementary angle is "180-x"
= 180 -47
= 133
Hence , If an angle is 86° smaller than its supplementary angle, the angle is 133°.
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