Find the slope of the line
A. 1/2
B. 2
C. -1/2
D. -2

Answer:

35

Step-by-step explanation:

Law of cosines

c^2=a^2+b^2-2ab(cos(A))

14^2=11^2+8^2-2(11)(8)Cos(A)

A=93.5833

Law of Sines

Sin(A)/a=Sin(B)/a

Sin(93.5833)/11=Sin(B)/8

B=34.7719

The vector space of polynomials of degree at most two that satisfies the constraint is given by the span

{1 + x + x², 1 - x + x²}.

To find a basis for the given vector space, we first determine the dimensions of the space.

The vector space of polynomials of degree at most two is of the form:

p(x) = a + bx + cx²

This vector space contains infinitely many vectors because it is a function space.

The constraint p(1) = 1 + 2a + b + c = 0 means that the dimension of the subspace is two rather than three.

Next, we will obtain a basis for the vector space of polynomials of degree at most two that satisfy the constraint:

span{1, x - 1, x(x - 1)} is a basis for the subspace of the vector space that satisfies the constraint.

To find the basis for the subspace, we can use the definition of a basis.

A basis is a set of vectors that spans the subspace, and that are linearly independent.

We must demonstrate that this basis spans the subspace and that it is linearly independent.

If p(x) = a + bx + cx² satisfies the constraint p(1) = 0, then we have

1 + 2a + b + c = 0, which means a = (-b - c + 1)/2.

Then p(x) = (-b - c + 1)/2 + bx + cx².

Now, we find a basis for the subspace that satisfies the constraint by selecting vectors and demonstrating that they are linearly independent.

span{1, x - 1, x(x - 1)} is a basis for the subspace because they are linearly independent and span the subspace.

Span{1, x - 1, x(x - 1)} spans the subspace because any polynomial in the subspace can be expressed as a linear combination of the elements of the basis.

1 = (1/2) (1 + x - x(x - 1) - x + x(x - 1)) = (1/2)(1 - x²)x - 1 = x - 1x(x - 1) = x² - x

Since the coefficients of 1, x - 1, and x² - x are unique, the three polynomials are linearly independent, so they form a basis.

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Answer: y-3=3(x+6)

Step-by-step explanation:

(-6,3)      m=3

A line in the point-slope form is expressed as:

  \(y-y_1=m(x-x_1)\\\\x_1=-6\ \ \ \ y_1=3\ \ \ \ m=3\)    

Hence,

y-3=3(x-(-6))

y-3=3(x+6)                      

Answer:

(1/15)x-2/5=5/9

x=43/3

Step-by-step explanation:

1/15x-2/5=5/9+2/5

1/15x=43/45

x=43/45/1/15

x=43/45x15/1

x=43/3

The you thought number of likely is mathematically given as

x=-5/3

Question Parameters:

when 1/15 of this number is subtracted from 2/5 of the same number,

the answer is 5/9.

Generally the equation for the Statement   is mathematically given as

1/15x-2/5x=5/9

Therefore

x=-5/3

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Answer:

C. Step 3

Step-by-step explanation:

Fred lost the negative sign, but everything else was right. He should have gotten -9.

Answer:

Toney buys the coat for $ 14.8.

Step-by-step explanation:

Cost of coat =$ 22

Mark up by 75 %

discount = 10 %

Let toney pay $ R for the coat.

So, according to the question

R + 75 % R = 1.75 R

Now the cost is

1.75 R - 15 % of 1.75 R = 22

1.75 R - 0.2625 R = 22

R = 14.8

So, he buy the coat for $ 14.8.  

The radius and height of a real soda can with a double thickness in the top and bottom surfaces that minimize its surface area are approximately 2.89 cm and 13.15 cm, respectively. These dimensions are closer to the dimensions of a real soda can compared to the dimensions obtained in part (a).

a. To minimize the surface area of a cylindrical soda can, we need to find the values of radius and height that minimize the surface area equation.

Let's denote the radius of the can as r and the height as h. The volume of the can is given as 354 cm^3, so we have:

πr^2h = 354

Solving for h, we get:

h = 354 / (π\(r^2\))

The surface area of the can can be calculated as follows:

A = 2πr^2 + 2πrh

Substituting the expression for h in terms of r, we get:

A = 2πr^2 + 2πr(354 / πr^2)

Simplifying:

A = 2πr^2 + 708 / r

To minimize the surface area, we need to find the value of r that makes the derivative of A with respect to r equal to zero:

dA/dr = 4πr - 708 / r^2

Setting dA/dr = 0, we get:

4πr = 708 / r^2

Multiplying both sides by r^2, we get:

4πr^3 = 708

Solving for r, we get:

r = (708 / 4π)^(1/3) ≈ 3.64 cm

Substituting this value of r back into the expression for h, we get:

h = 354 / (π(3.64)^2) ≈ 9.29 cm

Therefore, the radius and height of the cylindrical soda can with minimum surface area and volume of 354 cm^3 are approximately 3.64 cm and 9.29 cm, respectively.

b. Real soda cans do not seem to have an optimal design because their dimensions are not the same as the ones obtained in part (a). The radius of a real soda can is 3.1 cm and the height is 12.0 cm. However, real soda cans have a double thickness in their top and bottom surfaces, which means that their dimensions are not directly comparable to the dimensions of the cylindrical can we calculated in part (a).

To find the dimensions of a real soda can with a double thickness in the top and bottom surfaces that minimize its surface area, we can use the same approach as in part (a), but with the appropriate modification to the surface area equation:

A = 4πr^2 + 708 / r

Setting dA/dr = 0, we get:

8πr^3 = 708

Solving for r, we get:

r = (708 / 8π)^(1/3) ≈ 2.89 cm

Substituting this value of r back into the expression for h, we get:

h = 354 / (π(2.89)^2) ≈ 13.15 cm

Therefore, the radius and height of a real soda can with a double thickness in the top and bottom surfaces that minimize its surface area are approximately 2.89 cm and 13.15 cm, respectively. These dimensions are closer to the dimensions of a real soda can compared to the dimensions obtained in part (a).

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RCTs are considered one of the gold standards for evaluating the effectiveness of medical interventions because they can provide strong evidence of causality.

The study described in the question is a randomized controlled trial (RCT). An RCT is a type of experimental study where participants are randomly assigned to different groups, and the effect of an intervention is evaluated by comparing outcomes between the groups. In this case, the intervention is the type of treatment (surgery vs radiation therapy), and the outcome of interest is the mortality rate after 2 years.

Random assignment of patients to treatment groups helps to reduce the influence of confounding variables and biases, thus allowing a more accurate assessment of the intervention's effects. In addition, by following patients over a specific period of time, the study can provide information about the long-term effects of the treatment.

Overall, RCTs are considered one of the gold standards for evaluating the effectiveness of medical interventions because they can provide strong evidence of causality.

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1. Newmont Mining Corporation is a mining company, but the comparison company has not been specified. Therefore, I am unable to provide specific calculations or comparisons.

2. The three ratios that determine Return on Equity (ROE) can be used to compare and contrast the ROE values of the two companies once the comparison company is selected.

3. The top three risks identified by Newmont Mining Corporation can be found in their 10-K report.

1. Without knowing the specific comparison company within the same industry, I cannot perform calculations or provide a detailed comparison of ratios. Once the comparison company is specified, financial ratios such as liquidity ratios (current ratio, quick ratio), profitability ratios (gross profit margin, net profit margin), and leverage ratios (debt-to-equity ratio, interest coverage ratio) can be calculated for both companies to assess their relative strengths and weaknesses.

2. The three ratios that determine Return on Equity (ROE) are the net profit margin, asset turnover ratio, and financial leverage ratio. These ratios can be used to compare and contrast the ROE values of Newmont Mining Corporation and the selected comparison company. The net profit margin measures the company's profitability, the asset turnover ratio assesses its efficiency in generating sales from assets, and the financial leverage ratio evaluates the extent of debt used to finance assets.  

3. To identify the top three risks identified by Newmont Mining Corporation, one would need to review the company's 10-K report. The 10-K report is an annual filing required by the U.S. Securities and Exchange Commission (SEC) and provides detailed information about a company's operations, financial condition, and risks. Within the 10-K, the "Risk Factors" section typically outlines the significant risks faced by the company. By reviewing this section of Newmont Mining Corporation's 10-K report, the top three risks identified by the company can be identified, providing insights into the challenges and potential vulnerabilities the company faces in its industry.

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Explanation:

As that list above shows, adding any two sides results in a sum larger than the third remaining side. The conditions of the triangle inequality theorem have been met to allow for a triangle to be formed.

In general the triangle inequality theorem is:

The order doesn't matter. All that's important is that all three conditions are met.

To estimate the integral √(ln(2)) ln(x) dx within an accuracy of 0.01 using upper and lower sums for a uniform partition of the interval [1, e], we need to divide the interval into at least n subintervals. The answer is obtained by finding the minimum value of n that satisfies the given accuracy condition.

We start by determining the interval [1, e], where e is approximately 2.718. The function ln(x)^2 is increasing, meaning that its values increase as x increases. To estimate the integral, we use upper and lower sums with a uniform partition. In this case, the width of each subinterval is (e - 1)/n, where n is the number of subintervals.

To find the minimum value of n that ensures the accuracy condition S - S < 0.01, we need to evaluate the difference between the upper sum (S) and the lower sum (S) for the given partition. The upper sum is the sum of the maximum values of the function within each subinterval, while the lower sum is the sum of the minimum values.

Since ln(x)^2 is increasing, the maximum value of ln(x)^2 within each subinterval occurs at the right endpoint. Therefore, the upper sum can be calculated as the sum of ln(e)^2, ln(e - (e - 1)/n)^2, ln(e - 2(e - 1)/n)^2, and so on, up to ln(e - (n - 1)(e - 1)/n)^2.

Similarly, the minimum value of ln(x)^2 within each subinterval occurs at the left endpoint. Therefore, the lower sum can be calculated as the sum of ln(1)^2, ln(1 + (e - 1)/n)^2, ln(1 + 2(e - 1)/n)^2, and so on, up to ln(1 + (n - 1)(e - 1)/n)^2.

We need to find the minimum value of n such that the difference between the upper sum and the lower sum is less than 0.01. This can be done by iteratively increasing the value of n until the condition is satisfied. Once the minimum value of n is determined, we have the required number of subintervals for the given accuracy.

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Answer:

-4 I think

Step-by-step explanation:

Answer:

The dot product of two vectors is defined as the product of their corresponding components, multiplied and summed. In other words, for two vectors U and V, the dot product is given by:

U · V = (Ux * Vx) + (Uy * Vy)

where Ux and Uy are the x and y components of U, and Vx and Vy are the x and y components of V.

In this case, we have:

U = -5i + 2j

V = 4i - j

So, using the formula for the dot product, we get:

U · V = (-5 * 4) + (2 * -1)

= -20 - 2

= -22

Therefore, the dot product of U and V is -22.

Step-by-step explanation:

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Answer:

27  is  25 %  of  108

Step-by-step explanation:

x*25/100=27 or x=(27*100)/25=108

Answer:

Step-by-step explanation:

SOLVING

================================================================

6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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A. Equation to represent the hanger is 5(x)+2=17

B. We remove two from the right to balance the left side. 5x minus 2 equals 5 x's and 17-2=15. The balances hanger represents an equation that would be 5x=15. 5 x's would be 15÷5 which would give us 5 groups of 3. 15÷5=3 so, one of the x's equals 3. So, x=3

Sorry I couldn't do C. I am so sorry... :(

The volume of each container are:

From the question, we were given:

Height of each cylinder: 30 cm

Radius of the largest container: 10 cm

π = 3.14

So the volume will be =  π   x  radius²  x  height

The volume of the largest cylinder is"

3.14 (10)² x (30)

= 9424.78 cm³.

The volume of the smallest cylinder is 1/3 of the largest is:

(1/3) x  9424.78

= 3141.59 cm³.

The volume of the medium-sized cylinder is 2/3 of the largest, which is:

(2/3) x  9424.78

= 6282.67 cm³.

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Answer:

  2.5

Step-by-step explanation:

You want the dilation factor that enlarges a 3×5 inch photo to a 7.5×12.5 inch photo.

The dilation factor is the ratio of corresponding dimensions:

  enlargement factor = 7.5/3 = 2.5

The dilation factor is 2.5.

Triangle ABC is indeed similar to Triangle CDE by the SAS (Side-Angle-Side) Congruence Postulate.

Assume that we have the following to prove congruence:

AB/DC = AC/CE (proportional sides)

AB || CD (parallel lines)

This means that angle ABC is congruent to angle CDE.

Looking at this, we can infer that Side AB is proportional to side DC. We also see that Angle ABC is the same as Angle CDE.

Going by the SAS Congruence theorem, Triangle ABC is indeed similar to Triangle CDE because two sides of the triangle are similar and one angle is congruent.

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According to the proof, equal difference property is not satisfied by the function f(x).

There are four binary variables, x1, x2, x3, and x4.

The binary format is now converted to hexadecimal format, and the values are stored as A, B, C, and D, accordingly.

Convert every four bits of a binary value to a hexadecimal value.

ex: Split into 4 bits: x1 = 00000000 = 0000 0000 = 0 0 (convert the 4 bits to hex)

A = 00 ( hexadecimal of x1 )

B= 01 ( hexadecimal of x2 ) ( hexadecimal of x2 )

C=02 ( hexadecimal of x3 ) ( hexadecimal of x3 )

D=03 ( hexadecimal of x4 ) ( hexadecimal of x4 )

The function in question is f(x) = BS(x), which means that it performs byte alternation on the input x.

This means that f(x1) = 63, f(x2) = 7C, f(x3) = 77, and f(x4) = 7B.

We must now demonstrate that x1 xor x2 equals x3 xor x4 and that f(x1) xor f(x2) does not equal f(x3) xor f(x4) (x4).

If x1 xor x2 = 00, then xor 02 = 02 xor 01 = 01 x3 xor x4 03 = 01 So, x1 Equals x2 OR x3 OR x4 In the present, f(x1) xor f(x2) = 63 xor 7C = 1f f(x3) xor f(x4) = 77 xor 7B = 0C Due to f(x1) xor f(x2) not being equivalent to f(x3) xor f(x4).

Hence, the equal difference property is not satisfied by the function f(x), which is the Byte Substitution (BS) function of AES, according to the proof.

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Answer:

t=2

Step-by-step explanation:

3t+12+4t+2=28

7t+14=28

7t=28-4

7t=14

t=14/7

t=2

Given is an equation of parabola so the vertex form of given equation is y= (x-1)^2-6.

Vertex form, one of the usual forms for quadratic functions, emphasizes the coordinates of the vertex of the function's graph.

The point at which a parabola crosses its axis of symmetry is known as the vertex. The lowest point on the graph, or the point at the base of the "U"-shape, will be the vertex if the coefficient of the x^2 term is positive.

Use ax^2+bx+c where

a=1

b=-2

c=-5

Consider the vertex form of parabola

y=a(x+d)^2+e........(i)

where

d=b/2a=-1

e=c- b^2/4a=-6

Substituting values in (i)

y= (x-1)^2-6

is the resulting vertex form.

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Answer:

n=-5

Step-by-step explanation:

Do the equation backwards:

-26 - 4 = -30

-30 / 6 = -5

Check:

-5*6 = -30

-30+4 = -26

Hope this helps!

The account balance will be approximately $21,796.29 after 7 years.

The formula for continuous compounding is given by

\(A = Pe^{rt}\)

where A is the ending account balance, P is the principal amount, r is the annual interest rate as a decimal, t is the time in years, and e is the mathematical constant approximately equal to 2.71828.

In this problem, the principal amount is $15,340, the annual interest rate is 5%, and the time is 7 years. We can substitute these values into the formula to find the ending account balance

\(A = 15340e^{0.057}\)

Simplifying

\(A = 15340*e^{0.35}\)

A = 15,340 * 1.4187

A = $21,796.29

Therefore, the correct answer is (c) $21,796.29.

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Answer:

$1 or $1.25

Step-by-step explanation:

Not sure. Maybe

Solution

Given that cos θ= 3/5 and cot x < 0, then tanθ = ?

Using trigonometric function and angle

USING PYTHAGORAS therorem

Tanθ = opposite/adjacent

Answer:

Move each point 2 left then 3 up then connect the dots

Step-by-step explanation: