please help I'm so confused pls look at picture ​

Answer:

Saanvi recorded the number of math problems she did for homework each night for 10 days.

Step-by-step explanation:

A. N, B ≥ 0 (non-negativity constraint)

B. The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.

C.  You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

D. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

(a)

The linear programming model to find the best investment strategy for this client can be formulated as follows:

Maximize: 0.09N + 0.08B

Subject to:

N + B ≤ 85 (maximum investment of $85,000)

N ≤ 55 (maximum investment of $55,000 in the internet fund)

6N + 4B ≤ 410 (maximum risk rating of 410 for a moderate investor)

N, B ≥ 0 (non-negativity constraint)

(b)

To solve the problem using Excel Solver, you can set up the following spreadsheet model:

Cell A1: N (amount invested in the internet fund)

Cell B1: B (amount invested in the Blue Chip fund)

Cell C1: =0.09A1 + 0.08B1 (annual return for the portfolio)

Constraints:

Cell A2: ≤ 85

Cell B2: ≤ 85

Cell C2: ≤ 55

Cell D2: ≤ 410

The objective is to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints.

Using Excel Solver, set the objective to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints in cells A2, B2, C2, and D2.

The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.

(b)

For the aggressive investor with a maximum portfolio risk rating of 450, the linear programming model remains the same, except for the constraint on the maximum risk rating.

The new constraint would be: 6N + 4B ≤ 450

Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

(d)

For the conservative investor with a maximum portfolio risk rating of 320, the linear programming model remains the same, except for the constraint on the maximum risk rating.

The new constraint would be: 6N + 4B ≤ 320

Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

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Answer:

3/7 as a decimal is equal to 0.4285, so it is closer to 0.5

Then, 0.5 hours is half of an hour, so we can say that 3/7 hour is closest to half of an hour.

We can also find the minutes that are in 3/7 hours as follows

(3/7)(60) = 25.71 minutes

So, 3/7 hours is also closer to 25.71 minutes.

The area surface generated by revolving the curves about the x-axis is 9.87 square units

To find the surface area generated by revolving the curve y=sin(x) about the x-axis, we use the formula:

S = 2π∫aᵇ y ds

where a and b are the limits of integration, y is the function being revolved, and ds is the differential element of arc length.

To find ds, we use the formula:

ds = √(1 + (dy/dx)²) dx

where dy/dx is the derivative of y with respect to x.

Taking the derivative of y=sin(x), we get:

dy/dx = cos(x)

Substituting into the formula for ds, we get:

ds =√(1 + cos²(x)) dx

Now we can substitute y=sin(x) and ds into the formula for surface area and integrate from x=0 to x=π:

S = 2π \(\int\limits^\pi_0\) sin(x) √t(1 + cos²(x)) dx

This integral cannot be evaluated in terms of elementary functions, so we must use numerical methods to approximate the value. Using a numerical integration tool, we get:

S ≈ 9.87

Therefore, the surface area generated by revolving the curve y=sin(x) about the x-axis is approximately 9.87 square units.

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Answer:

Step-by-step explanation:

Hope This Helps Bye :]

To evaluate the functions, the table that represents g(x) is

x         g(x)

1           2

2          8

3          14

The correct option is the fourth option.

Evaluating a function involves taking a function and determining its output given a record. Any referenced fields in the function take on the value of the field in the record; the record provides the context for the evaluation. A Function Evaluator object, which is obtained from the Scalar Valued Function, is used for evaluation.

Only when writing operators that will employ functions is it vital to understand how to evaluate such functions. Writing unit tests for functions can also benefit from using it.

Now, evaluating functions we get -

From the given information, we have that:

f(x) = 3x - 4 and

g(x) = f(2x)

Then,

g(x) = f(2x) becomes

g(x) = f(2x) = 3(2x) - 4

g(x) = 6x - 4

Now, we will put the values of x from 1 to 3 into the equation

When x = 1

g(x) = 6x - 4 becomes

g(x) = 6(1) - 4

g(x) = 6 - 4

g(x) = 2

When x = 2

g(x) = 6x - 4 becomes

g(x) = 6(2) - 4

g(x) = 12 - 4

g(x) = 8

When x = 3

g(x) = 6x - 4 becomes

g(x) = 6(3) - 4

g(x) = 18 - 4

g(x) = 14

Hence, the table that represents g(x) is

x         g(x)

1           2

2          8

3          14

The correct option is the fourth option

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Answer:

3

Step-by-step explanation:

\(\frac{1}{3} \times (-6) + 5 => \frac{-6}{3} + 5 = >-2 + 5 = 3\)

Answer:

0.1

Step-by-step explanation:

hwhhehhejejeejjrjr

Answer:

D. 2019

Step-by-step explanation:

So I started by rewriting the function f(x)

1000 = 10^3 so

    f(x)=10^3 times 1.03^x

1.03 = 103/100 so

     f(x)= 10^3 times (103/100)^x

to raise a fraction to a power you just raise the numerator and denominator to that power so

      f(x)= 10^3 times 103^x/100^x

change it to exponential form with a base of 10

     f(x)=10^3 times 103^x/10^2x

then you can reduce it with the 10^3

     f(x)=103^x/10^2x-3

so now that thats in more of a standard form you can find the intersection of the two functions

which is at (9.012,1305.244)

x is the number of years after 2010, so they will be equal ~9 years after 2010, which is 2019.

The data described, the number of televisions in different households, is discrete.

discrete data consists of individual values that can be counted and are distinct from one another. In this case, the number of televisions is a discrete variable because it can only take on whole numbers, such as 0, 1, 2, 3, and so on. You cannot have a fractional or continuous number of televisions. Each household will have a specific count of televisions, and there is no intermediate value between each whole number. Additionally, the number of televisions is distinct for each household, meaning that it can differ from one household to another.

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Answer:

20/3

Step-by-step explanation:

Answer:

15 cents right?

Step-by-step explanation:

3/20=.15

Answer:

6 batches

Step-by-step explanation:

Answer:

the answer is 8/3  u have to mutplay

Step-by-step explanation:

A triangle whose sides are all equal is called an equilateral triangle and its area is given by A=\(\frac{\sqrt{3} }{4}\) \(x^{2}\), where x is the side of the triangle.

The area of a rectangle is found by using the formula

A=lw, where l is the length and w is the width.

The given figure can be split into two shapes: a rectangle and an equilateral triangle as shown in the diagram. Let l be the length of the rectangle.

Add all of the sides of the window and equate their result to 16. Then solve for l.

x + x + l + x + l = 16

3x + 2l = 16

2l = 16 - 3x

l = \(\frac{16-3x}{2}\)

The total area of the window will be the sum of the area of the equilateral triangle ABE and the area of rectangle BCDE.

A = \(\frac{\sqrt{3} }{4}\)\(x^{2}\) + lx

Subsitute  \(\frac{16-3x}{2}\) for l into the obtained equation and simplify.

A =\(\frac{\sqrt{3} }{4}\)\(x^{2}\) + ( \(\frac{16-3x}{2}\))x

A = \(\frac{\sqrt{3} }{4} x^{2}\) + 8x - \(\frac{3}{2} x^{2}\)

Differentiate the obtained equation with respect to x and equate the first derivative to 0 to calculate the critical point x .

\(\frac{dA}{dx}\) = \(\frac{\sqrt{3} }{4}\) (2x) + 8 - \(\frac{3}{2}\) (2x)

0 = \(\frac{\sqrt{3} }{2}\) x - 3x + 8

x (3 - \(\frac{\sqrt{3} }{2}\)) = 8

x = \(\frac{16}{6-\sqrt{3} }\)≈3.74887

Again, differentiate the equation

\(\frac{dA}{dx}\) = \(\frac{\sqrt{3} }{2}\)x - 3x + 8  with respect to x.

\(\frac{d^{2}A }{dx^{2} }\) = \(\frac{\sqrt{3} }{2}\) - 3

The value of the second derivative is \(\frac{\sqrt{3} }{2}\)−3, which is negative. This implies that the area will be maximum at the critical point.

Subsitute x = 3.74887 into the equation

l = \(\frac{16-3x}{2}\) and simplify

l = \(\frac{16-(3)(.74887)}{2}\) ≈ 2.3767

The maximum light will enter through the window when the triangular portion will have the side length of 3.74887 feet and the dimensions of the rectangular portion will be 3.74887-ft-by-2.3767-ft.

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Based on the simple interest rate of the two banks, Evans should bank with Joyner Bank.

The simple interest rates can be found using the formula:

where;

a) For Ross Bank: $700 principal yields interest of $30 after 2 years

b) For Joyner Bank: $1000 principal yields interest of $46 after 2 years

Solving for the interest rate for Ross Bank:

Rate = 30 * 100 /(700 * 2)

Rate = 2.14%

Solving for the interest rate for Joyner Bank:

Rate = 46 * 100 /(1000 * 2)

Rate = 2.3%

Therefore, Evans should bank with Joyner Bank

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Answer:

sqrt( 58 )

Step-by-step explanation:

Use a^2+b^2=c^2

The required correlation coefficient is r ≈ -0.994 and the equation for the best-fit line for the data is y = -104.94t + 866.825.

Statistic is the study of mathematics that deals with relations between comprehensive data.

Here,
a. To find the equation for the best-fit line for the data, we can use linear regression. We'll use the year (t) as the independent variable and the revenue (y) as the dependent variable. We can plug the data points into a calculator or spreadsheet to find the slope (m) and y-intercept (b) of the line,

n = 4 (number of data points)

∑t = 8060

∑y = 989.0

∑ty = 379466.5

∑t² = 161440

m = (n∑ty - ∑t∑y) / (n∑t² - (∑t)²) ≈ -104.94

b = (∑y - m∑t) / n ≈ 866.825

Therefore, the equation for the best-fit line is, y = -104.94t + 866.825

b. To find the correlation coefficient, we can use the formula:

r = [n∑ty - (∑t)(∑y)] / √([n∑t² - (∑t)²][n∑y² - (∑y)²])

r ≈ -0.994

Thus, the required correlation coefficient is r ≈ -0.994 and the equation for the best-fit line for the data is y = -104.94t + 866.825.

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Step-by-step explanation:

you can just put in some values to check.

I actually used p =2 and q=3

the It will be

2^3-1 + 3^2-1 = 1 (mod 2×3)

2^2 +3^1 = 1 (mod 6)

4+3= 1 (mod6)

7= 1 (mod6)

which is true.

therefore p^(q-1) + q^( p-1) = 1 ( mod pq) is true

To show that p^(q-1) + q^(p-1) = 1 (mod pq), we can use Fermat's Little Theorem, which states that if p is a prime number and a is an integer not divisible by p, then a^(p-1) = 1 (mod p). Using this theorem, we can first show that p^(q-1) = 1 (mod q), since q is a prime number and p is not divisible by q. Similarly, we can show that q^(p-1) = 1 (mod p), since p is a prime number and q is not divisible by p.

Therefore, we can write:

p^(q-1) + q^(p-1) = 1 (mod q)
p^(q-1) + q^(p-1) = 1 (mod p)

By the Chinese Remainder Theorem, we can combine these two equations to obtain:

p^(q-1) + q^(p-1) = 1 (mod pq)

Thus, we have shown that p^(q-1) + q^(p-1) = 1 (mod pq).
We'll use Fermat's Little Theorem to show that p^(q-1) + q^(p-1) = 1 (mod pq).

Fermat's Little Theorem states that if p is a prime number and a is an integer not divisible by p, then:
a^(p-1) ≡ 1 (mod p)

Step 1: Apply Fermat's Little Theorem for p and q:
Since p and q are prime numbers, we have:
p^(q-1) ≡ 1 (mod q) and q^(p-1) ≡ 1 (mod p)

Step 2: Add the two congruences:
p^(q-1) + q^(p-1) ≡ 1 + 1 (mod lcm(p, q))

Step 3: Simplify the congruence:
Since p and q are prime, lcm(p, q) = pq, so we get:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

In your question, you've mentioned that the result should be 1 (mod pq), but based on Fermat's Little Theorem, the correct result is actually:
p^(q-1) + q^(p-1) ≡ 2 (mod pq)

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Answer:

A 500 grain arrow moving at 260 fps has a kinetic energy of 75.04 ft-lbs and a momentum of . 577 slugs*. A 700 grain arrow moving at 175 fps has a kinetic energy of 47.59 ft-lbs and a momentum of . 544 slugs*.

Answer:

6

Step-by-step explanation:

We can use the equation:

Range= maximum value - minimum value

5 = x - 1

add 1 to both sides

6=x

So, the maximum value is 6.

Hope this helps! :)

Answer:

2v-20

I'm sure.

Answer:

-12?

Step-by-step explanation:

The width of the room is 12 ft. To find the width of the room, we can set up a system of equations based on the given information. Let's represent the length as 'L' and the width as 'W'.

We have two pieces of information given:

The perimeter of the room is 42 ft. The perimeter of a rectangle is calculated by adding all four sides together. In this case, it is given as 42 ft, so we can write the equation:

2L + 2W = 42.

The width is 6 ft less than twice the length. Mathematically, we can express this as:

W = 2L - 6.

To solve the system of equations, we can substitute the second equation into the first equation, as they both represent the same variable 'W'.

Substituting the value of W from the second equation into the first equation, we get:

2L + 2(2L - 6) = 42.

Simplifying the equation, we have:

2L + 4L - 12 = 42.

6L - 12 = 42.

Adding 12 to both sides of the equation:

6L = 54.

Dividing both sides by 6:

L = 9.

Substituting the value of L into the second equation to find W:

W = 2(9) - 6 = 12.

Therefore, the width of the room is 12 ft.

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well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

Answer:

D.) x = 7

Step-by-step explanation:

4x - 9x + 3 = -32

The first thing we do is combine like terms which means to add or subtract or multiply or divide any numbers that are known. Here in this equation we have 4x and - 9x

4x - 9x + 3 = -32

- 5x + 3 = - 32

Now what we do is subtract the common numeral from the side where the x value is.

- 5x + 3 = - 32

- 3. - 3

- 5x = - 35

Lastly, we divide here we take the value next to x and divide both numbers, here we will divide by - 5.

- 5x = - 35

- 5x / - 5 = x

- 35 / - 5 = 7

Now we take are two solutions and create are final solution.

x = 7

y = -1/3x + 1

y = -2x - 3

We can compare the equations to the graphs and see which graph represents the intersection point of the two equations.

The first equation, y = -1/3x + 1, has a negative slope (-1/3) and a y-intercept of 1.

The second equation, y = -2x - 3, also has a negative slope (-2) and a y-intercept of -3.

Based on the slopes and y-intercepts, we can identify the correct graph by finding the point where the two lines intersect.

Unfortunately, since the graphs are not provided, I am unable to determine which specific graph shows the solution to the system of linear equations. I recommend referring to the graph representation of the equations and identifying the intersection point to determine the correct graph.

Answer:

12.5

Step-by-step explanation:

So this is basically a rectangle. You make the 2 triangles a square.

2.5x2.5=6.25

6.25x2=12.5

The equation that indicates the number of real solution in the polynomial is presented as follows;

\(\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0\)

A polynomial is an expression that has two or more algebraic terms of the same variables that have different powers.

The specified expression is presented as follows;

5·x³ + x² - 7·x + 28

The polynomial equation can be factored using a graphing calculator to get;

5·x³ + x² - 7·x + 28 = \(\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5\)

When the expression is equated to 0, we get;

\(\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0\)...(1)

The discriminant of the expression \(\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\) is less than 0, therefore, the expression \(\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\) has no solution

The real solutions found from equation (1) is therefore;

\(x=-\dfrac{15933}{7535}\)

There is therefore one solution to the expression

The equation that expresses the number of solutions is therefore;

\(\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0\)

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