solve the lp by excel solver and then answer the following questions based on the sensitivity report of the original lp. you are not allowed to re-solve the lp for each of the questions.

Answer:

no

Step-by-step explanation:

the conditional p-> r is the basically both of the beginning 2 conditionals combined

Answer:

y=-3/2x+3

Step-by-step explanation:

The slope is -3/2x because it's going down 3 and to the right 2.

And it intercepts the y-axis at 3. Thus, 3 is the y-intercept.

Answer:

y = -3/2 x +3

Step-by-step explanation:

We can use the slope intercept form

y = mx+b where m is the slope and b is the y intercept

The y intercept is 3

Now to find the slope

Pick two points on the line

( 0,3) and ( 2,0)

m = ( y2-y1)/(x2-x1)

   = ( 0-3)/(2-0)

   = -3/2

The equation of the line is

y = -3/2 x +3

Answer:

V = 90 cm³

Step-by-step explanation:

the volume (V) of the prism is calculated as

V = area of triangular face × length of prism

  = \(\frac{1}{2}\) bh × 3

 = \(\frac{1}{2}\) × 12 × 5 × 3

 = 6 × 5 × 3

 = 90 cm³

Answer:

m = 10 , n = 5\(\sqrt{2}\)

Step-by-step explanation:

using the cosine and tangent ratio in the right triangle and the exact values

cos45° = \(\frac{1}{\sqrt{2} }\) and tan45° = 1 , then

cos45° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{5\sqrt{2} }{m}\) = \(\frac{1}{\sqrt{2} }\) ( cross- multiply )

m = 5\(\sqrt{2}\) × \(\sqrt{2}\) = 5 × 2 = 10

-----------------------------------------

tan45° = \(\frac{opposite}{adjacent}\) = \(\frac{n}{5\sqrt{2} }\) = 1 , then

n = 5\(\sqrt{2}\)

Answer:

the correct answer is 52

The fraction of the pitcher each type of juice are 1/3 and 2/3

From the question, we have the following parameters that can be used in our computation:

Parts = 6

Orange juice = 1

Peach juice = 2

using the above as a guide, we have the following:

Orange juice  : Peach juice = 1 : 2

Multiply by 2

So, we have

Orange juice  : Peach juice = 2 : 4

When represented as a fraction, we have

Orange juice = 1/3

Peach juice = 2/3

Hence, the fractions are 1/3 and 2/3

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a) According to the Central Limit Theorem, the distribution of sample means for a sufficiently large sample size will be normally distributed.

Therefore, the shape of the distribution of the sample means will be approximately Normal.

b) Mean of the sampling distribution of sample means = μ = 2.85 hours Standard deviation of the sampling distribution of sample means = \[\frac{\sigma }{\sqrt{n}} = \1.2} {\sqrt {150}} = 0.098\] hours Hence, the mean will be 2.85 hours and the standard deviation will be 0.098 hours.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

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Answer:

40 dollars.

Step-by-step explanation:

28=(.7)x

40=x

Thus, the original price was 40 dollars.

answer here!

sry it is a bit messy

Answer:

1) 11001 base 2

2)133 base 5

1) To convert base 10 into base 2

25/2= 12remainder 1

from this point on, the remainders will be replaced by r

12/2= 6r0

6/2=3r0

3/2=1r1

1/2=0r1

The remainders are then written down from the bottom up

= 11001

2) To convert 101011 base 2 into base 5

101011= 1×2⁵ + 0×2⁴+ 1×2³+ 0×2² + 1×2¹ + 1×2⁰

=1×32 + 0×16 + 1×8+ 0×4+1×2+1×1

=32+0+8+0+2+1

=43 base 10

Then convert 43 base 10 to base 5

43/5=8r3

8/5=1r3

1/5=0r1

=133 base 5

Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an expression or equation made up of variables, constants, and exponents.

Find the x-intercepts in step one.

Solve the equation to obtain the x-intercepts.

Find the y-intercepts in step two.

Put x=0 in the equation to determine the y-intercepts.

STEP 3: Determine the final action

A polynomial's final behavior and the final behavior of a leading term are identical.

STEP 4: Locate the pivotal moments

We must locate the first derivative of p in order to identify the turning point (x)

The first derivative's zeros are where the turning point's x coordinate is situated.

Substituting the aforementioned value into p will yield the y coordinate (x).

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Range is R={n^2: n is natural number} U {n(n+1) : n is natural number}

The expression ⌈y⌉⋅⌊y⌋ represents the product of the ceiling and floor functions of y.

To find the range of all possible values of y, we need to consider the possible values of the ceiling and floor functions individually.

1. Ceiling function (⌈y⌉): This function rounds y up to the nearest integer. Since y is greater than 0, the ceiling of y will always be greater than or equal to y.

2. Floor function (⌊y⌋): This function rounds y down to the nearest integer. Again, since y is greater than 0, the floor of y will always be less than or equal to y.

Now, let's consider the product of the ceiling and floor functions, ⌈y⌉⋅⌊y⌋.

The product ⌈y⌉⋅⌊y⌋ will always be greater than or equal to 0 since y > 0 and this can take only integral values.

Therefore, the range of all possible values of y such that ⌈y⌉⋅⌊y⌋ is the set R={n^2: n is natural number} U {n(n+1): n is natural number}

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Answer: -4

Step-by-step explanation:

This means we want to find where y=0.

This is at point A, since it has coordinates (-4, 0).

Since A has an x coordinate of -4, f(-4)=0.

Step-by-step explanation:

(3x^2y^4)^3

Use the rules of exponents to simplify the expression.

(3x^2y^4)^3

To raise the product of two or more numbers to a power, raise each number to the power and take their product.

3³(x²)³(y⁴)³

Raise 3 to power 3.

27(x²)³(y⁴)³

To raise a power to another power, multiply the exponents.

27x²*³y⁴*³

Multiply 2 times 3.

27x⁶y⁴*³

Multiply 4 times 3.

27x⁶y¹²

Answer:

27x^6y^12

Step-by-step explanation:

1.Evaluate

(3x^2y^4) ^ 3

2.To raise a product to a power,raise each factor to that power

3^3 x (x^2)^3(y^4)^3

3.Evaluate the power

27 (x^2)^3 (y^4)^3

4.Evaluate the power again

27x ^6 x (y^4)^3

5. Solution

27x^6 y^12

hope this helps!!

The F-distribution is used to test the significance of the population coefficient of determination (option D).

The coefficient of determination, denoted as R², measures the proportion of the variance in the dependent variable that is explained by the independent variables in a regression model. It ranges from 0 to 1, where 0 indicates no relationship and 1 indicates a perfect relationship.

To determine the significance of R², the F-distribution is used. The F-test compares the variation explained by the regression model (numerator) to the unexplained or residual variation (denominator). It calculates the F-statistic, which is the ratio of the two variances.

The F-distribution provides critical values that allow us to determine whether the observed F-statistic is statistically significant or not. By comparing the calculated F-value with the critical value from the F-distribution, we can assess whether the coefficient of determination is significantly different from zero, indicating the presence of a meaningful relationship between the variables. The correct option is d.

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Step-by-step explanation:

\(y = 10 {}^{x} \)

Swap y and x

\(x = 10 {}^{y} \)

The opposite of a exponent with base b, is a logarithm with base b.

\( log_{10}(x) = log_{10}(10 {}^{y} ) \)

By definition, since log and exponent are inverses of each other and they have the same bases. This composition will spit out the variable , y

\( log_{10}(x) = y\)

Using notation

\(f {}^{ - 1} (x) = log_{10}(x) \)

Answer:

9:20

Step-by-step explanation:

9 males

11 + 9 total people

9 : 20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Step-by-step explanation:

Natural numbers are numbers that include positive integers.

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25

Prime numbers are numbers that are greater than 1 and has only two factors

2,3,5,7,11,13,17,19,23

What Fractions of natural number are prime number?

9/25

The two triangles n = (75 + 3) / 5 = 18. The measure of angle q is 18 degrees.

1. First, find the value of n by using the equation 5(n - 3) = 75 + 3

2. Next, add 75 and 3 together and divide by 5. This gives us a value of 18 for n.

3. Finally, use the equation 5(n - 3) to determine the measure of angle q in triangle qrs. This equals 5(18 - 3) = 5(15) = 75 degrees.

The two triangles qrs and xyz are similar, meaning they have the same angle measures. In order to find the measure of angle q in triangle qrs, we must first find the value of n. The measure of angle x in triangle xyz is 75 degrees and the measure of angle q in triangle qrs is equal to 5(n - 3) degrees. We can use this equation to solve for the value of n. To do this, we add 75 and 3, then divide by 5. This gives us a value of 18 for n. Therefore, the measure of angle q in triangle qrs is 18 degrees.

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Answer:

(2,7)

Step-by-step explanation:

Solution Given:

y-3x=1

y=1+3x....(1)

2y-x=12

Substituing value of y

2(1+3x)-x=12

opening bracket

2+6x-x=12

2+5x=12

5x=12-2

x=10/5

x=2

again substituing value of x in equation 1

y=1+3•2

y=1+6

y=7

Answer:

(2,7)

Step-by-step explanation:

y - 3x = 1 can be written

y -3x + 3x = 3x + 1      Add 3x to both sides

y = 3x + 1  Substitute 3x + 1 for y into the second equation

2y -x = 12

2(3x +1)  -x = 12  Distribute the 2

2(3x) + 2(1) -x = 12

6x + 2 -x = 12   Combine like terms

5x + 2 = 12  Subtract 2 from both sides

5x + 2 -2 = 12 - 2

5x = 10  Divide both sides by 5

\(\frac{5x}{5}\) = \(\frac{10}{5}\)

x = 2

substitute 2 for x in the equation y = 3x + 1  to solve for y

y = 3(2) + 1

y = 6 + 1

y = 7

(2,7) is the solution.

The measurement of the angle OP is 39

The given parameters that will help us to answer the question are

R is mid point of OQ

S is mid point of PQ

RS = 3x + 38

OP = 4x- 14

R is mid point of OQ and S is mid point of PQ;

By using mid point theorem

[1/2][OP] = RS

This implies that So,

[1/2][3x + 38] = [4x- 14]

[3x+38] = 2[4x- 14]

Opening the brackets we have

3x+38=8x-28

Collecting like terms

3x-8x=-28-38

-5x=-66

Making x the subject of the relation we have

x = -66 / -5

x = 13.2

Therefore RS = 3(13.2) + 38 = -11.4

OP = 4(13.2)- 14=38.8

Measurement of OP = 39 approximately

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Answer:

684

Step-by-step explanation:

1/4 * 9 - |6| 9 + 3\(\sqrt{9}\)

Answer: your mom

Step-by-step explanation:  just cause

The ratio of the height to the diameter that maximizes the volume of the cylindrical can is: 0.886 approximately.

Let the radius of the cylindrical can be denoted by r, and its height by h. The surface area of the can is given by:

S = 2π\(r^2\)+ 2πrh

Simplifying this expression, we get:

h = (S - 2π\(r^2\))/(2πr)

The volume of the cylindrical can is given by:

V = π\(r^2\)h

Substituting the expression for h obtained earlier, we get:

V = π\(r^2\)(S - 2π\(r^2\))/(2πr)

Simplifying this expression, we get:

V = (S/2π - \(r^2\))πr

To maximize the volume of the cylindrical can, we need to find the value of r that maximizes the above expression. We can do this by differentiating the expression with respect to r, setting it equal to zero, and solving for r:

dV/dr = (S/2π - \(2r^2\))π = 0

Solving for r, we get:

r = √(S/4π)

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

h = (S - 4π\(r^2\))/(4πr) = (S - S/2)/(2√(S/4π)) = √(Sπ)/2

Therefore, the ratio of the height to the diameter that maximizes the volume of the cylindrical can is:

h/2r = (√(Sπ)/2)/(2√(S/4π)) = √(π/4) = 0.886 approximately.

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Answer:

50

Step-by-step explanation:

30% * n = 15

Change to decimal form

.30 *n = 15

Divide each side by .30

.30n/.30 = 15/.30

n =50

The number is 50

Answer: PRIME NUMBERS BETWEEN 30 AND 45 ARE 31, 37, 41, and 43.

Answer:

NRP=44

Step-by-step explanation:

This is super simple.

NRQ = 96

PRQ= 52

PRQ + NRP = NRQ

NRQ- PRQ = NRP

Soooo plug the angles in....

96-56= NRP

44 = NRP

NRP=44

Hope this helped!

Answer:

x=±7

Step-by-step explanation:

x²=49

x=±7

Answer:

D) +7

Step-by-step explanation:

x2-49=0

x2= +49

√x2= √+49

x= +7

Answer:

Zero

Step-by-step explanation:

Answer:

Answer: C. Zero

Step-by-step explanation:

The Slope of a Line

Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

The line shown in the image is horizontal, i.e. all of its points have the same y-coordinate regardless of their x-coordinate.

Take two random points on the line like (0,-2) and (2,-2), the slope is:

\(\displaystyle m=\frac{-2+2}{2-0}=0\)

The slope is zero

Answer: C. Zero