if a mixture has an ee of 90%, what is the percentage of each enantiomer? a) 65% : 35% b) 55% : 45% c) 80% : 20% d) 95% : 5% like 0

Emma's total test score for the class is 156.5 out of 100.

We can calculate Emma's total score by considering the weight of each component of her grade and adding them up.

First, we can find the total score from the three tests:

(71 + 75 + 79) * 0.15 * 3 = 101.55

Next, we can find the score from the project:

85 * 0.10 = 8.5

Next, we can find the score from the final:

80 * 0.20 = 16

Finally, we can find the score from the homework:

87 * 0.35 = 30.45

The total score is the sum of all these components:

101.55 + 8.5 + 16 + 30.45 = 156.5

So, Emma's total score for the class is 156.5 out of 100.

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To find the probability distribution for Y, the number of errors detected by the auditor, we can use the binomial distribution formula. The binomial distribution is used when there are only two possible outcomes, success or failure, and each trial is independent.

In this case, the probability of success (detecting an error) is 5% or 0.05, and the probability of failure (not detecting an error) is 1 - 0.05 = 0.95.

a. To find the probability distribution for Y, we can use the formula for the binomial distribution:

P(Y = y) = (nCk) * p^k * (1-p)^(n-k)

where n is the number of trials (3 in this case), k is the number of successes (errors detected), p is the probability of success (0.05), and (nCk) is the combination formula.

For y = 0:
P(Y = 0) = (3C0) * (0.05)^0 * (0.95)^(3-0) = (1) * (1) * (0.95)^3 = 0.857375

For y = 1:
P(Y = 1) = (3C1) * (0.05)^1 * (0.95)^(3-1) = (3) * (0.05) * (0.95)^2 = 0.135375

For y = 2:
P(Y = 2) = (3C2) * (0.05)^2 * (0.95)^(3-2) = (3) * (0.05)^2 * (0.95)^1 = 0.007125

For y = 3:
P(Y = 3) = (3C3) * (0.05)^3 * (0.95)^(3-3) = (1) * (0.05)^3 * (0.95)^0 = 0.000125

So the probability distribution for Y is:
Y = 0 with probability 0.857375
Y = 1 with probability 0.135375
Y = 2 with probability 0.007125
Y = 3 with probability 0.000125

b. To construct a probability histogram for p(y), you can create a bar graph where the x-axis represents the number of errors detected (Y) and the y-axis represents the probability (P(Y = y)). Each bar will have a height corresponding to the probability.

c. To find the probability that the auditor will detect more than one error, we need to calculate the sum of the probabilities for Y = 2 and Y = 3:

P(Y > 1) = P(Y = 2) + P(Y = 3) = 0.007125 + 0.000125 = 0.00725

Therefore, the probability that the auditor will detect more than one error is 0.00725.

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Answer:

b and d

Step-by-step explanation:

2(5x+2+x)=12x+4(b)

2(6x+2)=12x+4

First, solve the expression.

2(5x+2+x)

10x+4+2x

12x+4

So we know that one of the answers is B. and not A.

C. 2(5x+3)

10x+6

D. 2(6x+2)

12x+4

So the answers are B and D, or option B

---

hope it helps

Answer:

14y-4

Step-by-step explanation:

Distribute 2 to both the left and right side.

Combine like terms.

14y-4

The value of the slope of the curve at the given point (-1,1).

"dy/dx" represents the derivative of y with respect to x, which is the rate of change of y with respect to x. To find the slope of a curve at a given point, we need to differentiate the equation of the curve implicitly with respect to x and substitute the given point to find the value of dy/dx at that point.

So, differentiating the equation 8x^2 - 7y^3 = 1 implicitly with respect to x, we get:

16x - 21y^2 * dy/dx = 0

Rearranging and solving for dy/dx, we get:

dy/dx = 16x / (21y^2)

Now, substituting the given point (-1,1), we get:

dy/dx = 16(-1) / (21(1)^2) = -16/21

This is the value of the slope of the curve at the given point (-1,1).

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The point (7,84) represents a precise location on a graph or coordinate plane.

A coordinate is a set of values that specifies the position or location of a point in a geometric space.

The point (7,84) represents a specific location on a graph or coordinate plane. The first number, 7, represents the point's position on the x-axis, which is a horizontal line that runs left to right. The second number, 84, represents the point's position on the y-axis, which is a vertical line that runs up and down. Together, the two numbers give us a precise location for the point.

In this situation, we don't have enough context to know what the point (7,84) represents. It could be the location of a city on a map, the amount of rainfall in inches on a specific day, or the price of a stock at a particular time. However, regardless of the situation, the point (7,84) is simply a specific location in a two-dimensional space that has been identified using coordinates.

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Complete Question:

What does the point (7,84) represent in the graph?​ And define the explanation for each value.

This enables us to conclude that Sarita's solution is accurate, but her verification was flawed. ( 5 - 3 \(\neq\) 2 ).

What is linear equation?

When the greatest power of the variable is consistently 1, an equation is considered to be linear. A one-degree equation is another name for it.

Given the following equation:

5(x-3) + 7(x+4) = 73

The steps to solve it are:

Apply the Distributive property:

5x - 15 + 7x + 28 = 73

12x + 13 = 73

Subtract 13 from both side

12x + 13 - 13 = 73 -13

12x = 60

Divide both side by 12

12x/12 = 60/12

x = 5.

To verify it, put the x = 5 in to the equation:

5(5 - 3) + 7(5 + 4) = 73

After solving it, we get

5(2) + 7(9)  = 73

10 + 63 = 73

73 = 73  

This enables us to conclude that Sarita's solution is accurate, but her verification was flawed. ( 5 - 3 \(\neq\) 2 ).

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Answer:

60

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

13-6=7

Then the 9

2(13)-19=7

7+7=14

14+9=23

the limit of the given expression as x approaches 2 is 1/5.

To find the limit of the expression:

lim(x→2) [(ln(x + 3) - ln(5))/(x - 2)]

We can simplify it using logarithmic properties. Recall that the logarithmic property states:

ln(a) - ln(b) = ln(a/b)

Applying this property to our expression, we have:

lim(x→2) [ln((x + 3)/5)/(x - 2)]

Now, let's evaluate the limit:

lim(x→2) [ln((x + 3)/5)/(x - 2)]

By direct substitution, we get an indeterminate form of 0/0. We can use L'Hôpital's Rule to find the limit.

Applying L'Hôpital's Rule, we take the derivative of the numerator and the derivative of the denominator:

lim(x→2) [(1/(x + 3))/1]

Simplifying further, we have:

lim(x→2) [1/(x + 3)]

Now, we can substitute x = 2 into the expression:

lim(x→2) [1/(2 + 3)]

= lim(x→2) [1/5]

= 1/5

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70,000 pounds of 0.6% grade copper ore needs to obtain 420 pounds of copper and 69,580 pounds of ground rock would be left after extracting 420 pounds of copper from the 0.6% grade copper ore.

How to find pounds of copper for different conditions?

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Yes, the function H(x) = -3x^2 + 12 has a minimum.

To find the minimum of the function, we can use the fact that the vertex of a parabola represents either a minimum or a maximum point of the function. We can find the x-coordinate of the vertex by using the formula:

x = -b / 2a

where a and b are the coefficients of the quadratic function in standard form, ax^2 + bx + c. In this case, a = -3 and b = 0, so:

x = -b / 2a = -0 / 2(-3) = 0

So the vertex of the parabola is located at x = 0. To find the y-coordinate of the vertex, we can plug in x = 0 into the function:

H(0) = -3(0)^2 + 12 = 12

the minimum value of the function is 12, and it occurs at x = 0. Therefore, the minimum point of the function is (0, 12).

what is function?

In mathematics, a function is a rule that assigns each element in a set (called the domain) to a unique element in another set (called the range). A function can be thought of as a machine that takes an input and produces an output.

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If Kurt company takes advantage of the purchase discount, they will pay $4900 to Marilyn company.

The terms of "2/10 n/40" indicate that Kurt company can take advantage of a 2% discount if they pay within 10 days. The full payment is due within 40 days.

To calculate the amount Kurt company will pay to Marilyn company if they take advantage of the purchase discount, we need to subtract the discount from the total amount.

The total amount of merchandise purchased is $5000.

To calculate the discount amount, we multiply the total amount by the discount percentage:

Discount amount = 2% of $5000 = 0.02 * $5000 = $100

Therefore, if Kurt company takes advantage of the purchase discount, they will pay $100 less than the total amount.

The amount Kurt company will pay to Marilyn company is:

Total amount - Discount amount = $5000 - $100 = $4900

Hence, if Kurt company takes advantage of the purchase discount, they will pay $4900 to Marilyn company.

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Answer:

1.5

Step-by-step explanation:

Answer:

$1.50

Step-by-step explanation:

do 6 divided by 4

The given problem can be solved using the following formulae and procedures: Failure rate is the frequency with which an engineered system or component fails, normally expressed in failures per million hours (FPMH) or in percentage per year.

Failure rate is calculated using the formula FR = Number of failures / Total time Units of Failure rate is percentage per year or failures per million hours.FR(%): Failure rate in percentage per year FR(N): Failure rate in failures per million hours MTBF: Mean Time Between Failures For the given problem, Number of batteries, n = 5

Design life, L = 72 months

Test results = 1 failure at 24 months, 1 failure at 30 months, 1 failure at 48 months, and 1 failure at 60 months. Failure rate is calculated by using the formula: FR = Number of failures / Total time Since all the batteries have different lifespan, calculate the total time for which batteries were used.

Total time, T = 24 + 30 + 48 + 60T

= 162 months

FR = 4 / 162 FR(%):To convert FR from failures per month to percentage per year, use the formula:

FR(%) = (1 - e^(-FR*t)) x 100%

Where, t = 1 year = 12 months

FR(%) = (1 - e^(-FR*t)) x 100%Putting the given values:0.29% is the annual failure rate of the Everstart battery after the given test. Frequency of Failure (FR(N)) is given by:

FR(N) = (Number of failures / Total time) x 10^6FR(N)

= (4 / 162) x 10^6FR(N)

= 24,691.358 failure per million hours.

Mean Time Between Failures (MTBF) can be calculated using the following formula: MTBF = Total time / Number of failures MTBF = 162 / 4

MTBF = 40.5 months

Therefore,FR(%) = 0.29%, FR(N) = 24,691.358 failures per million hours, and MTBF = 40.5 months.

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The truth about the end behavior of the graph is

The end behavior of function typically says the characteristics of the function at the ends

Examining the given graph it can be deduced that end behavior is  described as

x ⇒ -∞ f(x) ⇒ ∞

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Answer:

Step-by-step explanation:

The truth about the end behavior of the graph is

D. As the x-values go to negative infinity, the function's values go to positive infinity.

We can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

To find the equation of clean pulsations for a left-mounted beam with a simple support on the right, we can use the differential equation that describes the deflection of the beam. Assuming the beam is subject to a distributed load and has certain boundary conditions, the equation governing the deflection can be written as:

d^2y/dx^2 + (chx)^2 * y = 0

Where:

y(x) is the deflection of the beam at position x,

d^2y/dx^2 is the second derivative of y with respect to x,

ch(x) is the hyperbolic cosine function.

To solve this differential equation, we can assume a solution in the form of y(x) = A * cosh(kx) + B * sinh(kx), where A and B are constants, and k is a constant to be determined.

Substituting this assumed solution into the differential equation, we get:

k^2 * (A * cosh(kx) + B * sinh(kx)) + (chx)^2 * (A * cosh(kx) + B * sinh(kx)) = 0

Simplifying the equation and applying the given identity (chx)^2 - (shx)^2 = 1, we have:

(A + A * chx^2) * cosh(kx) + (B + B * chx^2) * sinh(kx) = 0

For this equation to hold for all values of x, the coefficients of cosh(kx) and sinh(kx) must be zero. Therefore, we get the following equations:

A + A * chx^2 = 0

B + B * chx^2 = 0

Simplifying these equations, we have:

A * (1 + chx^2) = 0

B * (1 + chx^2) = 0

Since we are looking for nontrivial solutions (A and B not equal to zero), the expressions in parentheses must be zero:

1 + chx^2 = 0

Using the identity (sinx)^2 + (cosx)^2 = 1, we can rewrite this equation as:

1 + (1 - (sinx)^2) = 0

Simplifying further, we get:

2 - (sinx)^2 = 0

Solving for (sinx)^2, we find:

(sin x)^2 = 2

Since the square of the sine function cannot be negative, there are no real solutions to this equation. Therefore, we can conclude that there are no nontrivial clean pulsations for the given left-mounted beam with a simple support on the right.

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Company A has a higher risk percentage (55%) compared to Company B (3%).

To compute the Coefficient of Variation (CV) for each company, we need to use the formula:

CV = (Standard Deviation / Mean) * 100

Let's calculate the CV for each company:

For Company A:

Risk Percentage = 55%

Return = 14%

For Company B:

Risk Percentage = 3%

Return = 14%

Since we don't have the standard deviation values for each company, we cannot calculate the exact CV. However, we can still compare the riskiness of the two companies based on the provided information.

The Coefficient of Variation measures the risk relative to the return. A higher CV indicates higher risk relative to the return, while a lower CV indicates lower risk relative to the return.

In this case, Company A has a higher risk percentage (55%) compared to Company B (3%), which suggests that Company A is riskier. However, without the standard deviation values, we cannot make a definitive conclusion about the riskiness based solely on the provided information. The CV would provide a more accurate measure for comparison if we had the standard deviation values for both companies.

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Ally will be able to cover 285 miles for the trip

Ally wants to rent the car for one day

The rents costs $35 and $0.35 per mile

Ally has $134.75 to spend for the trip

The number of miles Ally can drive for the trip can be calculated as follows

134.75 - 35

= 99.75

99.75/0.35

= 285

Hence Ally will be able to drive 285 miles for the trip  

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Answer: 9.9% (rounded to the nearest tenth

Step-by-step explanation:

The given set have two integers whose sum is 15 because if we selcet the element from the given set then there sum is equal to 15.

In the given question, let s = {3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. suppose six integers are chosen from s.

We have to check there be two integers whose sum is 15.

As we know that,

Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the equivalent positive numbers are the negative numbers. The letter Z or the chalkboard Z is frequently used to represent the set of integers in mathematical terminology.

There are total 10 elements.

We have to choose two element from the given set which sum is equal to 15.

If we choose 3 and 12 then there sum is 15.

Similarly, if select (5,10), (6,9), (7,8) the sum of all these selection is 15.

So the given set have two integers whose sum is 15.

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Raven can travel 5.71 miles or less under her limit.

Inequality is defined as the relation which makes a non-equal comparison between two given functions. If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

Let x b the number of miles Raven travels, we can write an expression relating the amount he spends. So there:

3.00 + 0.50= 3.50

Consider that total cost per mile be less than equal to the amount the Raven can spend:

3.50x ≤ 20

We can determine x;

x ≤ 5.71

Therefore, Raven can travel 5.71 or less under her limit.

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Answer:b

Step-by-step explanation:

The equation of the tangent plane to the surface at the point (1, -1, 3) is -x + 2y + 12z = 33.

To find the equation of the tangent plane to the surface given by 2z² - y² - x = -12 at the point (1, -1, 3), we can follow these steps:

Start with the equation of the surface: 2z² - y² - x = -12.

Calculate the partial derivatives of the equation with respect to x, y, and z:

∂/∂x (2z² - y² - x) = -1

∂/∂y (2z² - y² - x) = -2y

∂/∂z (2z² - y² - x) = 4z

Evaluate the partial derivatives at the given point (1, -1, 3):

∂/∂x (2(3)² - (-1)² - 1) = -1

∂/∂y (2(3)² - (-1)² - 1) = -2(-1) = 2

∂/∂z (2(3)² - (-1)² - 1) = 4(3) = 12

Use the partial derivatives and the point (1, -1, 3) to construct the equation of the tangent plane:

-1(x - 1) + 2(y + 1) + 12(z - 3) = 0

-x + 1 + 2y + 2 + 12z - 36 = 0

-x + 2y + 12z - 33 = 0

Simplify the equation to obtain the final equation of the tangent plane:

-x + 2y + 12z = 33.

Therefore, the equation of the tangent plane to the surface at the point (1, -1, 3) is -x + 2y + 12z = 33.

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Answer:

cos(x) = ???

so the maximum cosine can be is 1 and that happens when x = 0

I'm pretty sure that's what you meant...

The value of x where the cosine function attains a maximum value is 0.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Cosine function.

The value of cos 90° is 0.

The value of cos 0° is 1.

The value of cos 30° is √3/2.

The value of cos 60° is 1/2.

We see that the cosine function has the maximum value at zero degrees.

Thus,

Cos x has the maximum value at x = 0.

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by inverse operations

the area of any quadrilateral can be determined by multiplying the length of its base by its height.

Since we know the shape here is square,we know that all sides are of equal length.From this we can work backwords by taking the square root of the area to find the length of one side

Step-by-step explanation:

\(3^x=9^{x+5}\\\\3^x=\left(3^2\right)^{x+5}\qquad|\text{use}\ (a^n)^m=a^{nm}\\\\3^x=3^{2(x+5)}\iff x=2(x+5)\qquad|\text{use the distributive property}\\\\x=2x+10\quad|\text{subtract}\ 2x\ \text{from both sides}\\\\-x=10\qquad|\text{change the signs}\\\\\huge\boxed{x=-10}\)

\(27^{4x}=9^{x+1}\\\\\left(3^3\right)^{4x}=\left(3^2\right)^{x+1}\\\\3^{(3)(4x)}=3^{2(x+1)}\iff(3)(4x)=2(x+1)\\\\12x=2x+2\qquad|\text{subtract}\ 2x\ \text{from both sides}\\\\10x=2\qquad|\text{divide both sides by 10}\\\\x=\dfrac{2}{10}\\\\\huge\boxed{x=0.2}\)

\(5^x=25^{3x+5}\\\\5^x=\left(5^2\right)^{3x+5}\\\\5^x=5^{2(3x+5)}\iff x=2(3x+5)\\\\x=(2)(3x)+(2)(5)\\\\x=6x+10\qquad|\text{subtract}\ 6x\ \text{from both sides}\\\\-5x=10\qquad|\text{divide both sides by (-5)}\\\\\huge\boxed{x=-2}\)

Answer:

C

Step-by-step explanation:

-7 x7 = - 49

-2x2= - 4

-49x-4 = 196

Answer and Step-by-step explanation:

(-7²)×(-2²)

49 times 4

(a negative number squared becomes a positive number.

-7 squared is the same thing as -7 times -7, which is 49.

-2 squared is the same thing as -2 times -2, which is 4.

C. 196 is the answer.

     3

     49

  x   4

_____

   196

(40 times 4, + 4 times 9)

( 160 + 36 = 196)

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