4 quarters are equal in value to 10 dimes. How many dimes equal the value of 6 quarters?

(a) The range of c₁ (the objective coefficient of x₁) for which this BFS remains optimal is c₁ ≤ 2.

(b) The range of b₂ (the right-hand side of the second constraint) for which this BFS remains optimal is 3 ≤ b₂ < 4.

(c) The dual price of the second constraint is 0.

(a) The optimality condition for a linear programming problem requires that the objective coefficient of a non-basic variable (here, x₁) should not increase beyond the dual price of the corresponding constraint. In this case, the dual price of the second constraint is 0, indicating that increasing the coefficient of x₁ will not affect the optimality of the basic feasible solution. Therefore, the range of c₁ for which the BFS remains optimal is c₁ ≤ 2.

(b) The range of b₂ for which the BFS remains optimal is determined by the allowable range of the corresponding dual variable. In this case, the dual price of the second constraint is 0, implying that the dual variable associated with that constraint can vary within any range. As long as 3 ≤ b₂ < 4, the dual variable remains within its allowable range, and thus, the BFS remains optimal.

(c) The dual price of a constraint represents the rate of change in the objective function value per unit change in the right-hand side of the constraint, while keeping all other variables fixed. In this case, the dual price of the second constraint is 0, indicating that the objective function value does not change with variations in the right-hand side of that constraint.

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Answer:56

Step-by-step explanation:

I think cuz I multiplied 7x2x4

Answer:

3 miles

Step-by-step explanation:

1/8*24=3

Answer:

Step-by-step explanation:

He ran 24 times around the track1

Circumfrence of track=1/8 Mile

Total distance he covered=1/8*24

Distance = 3 miles

The missing part of the equation is \(-7.0\times10^4 s^2kg⋅m^2 / 1000000.\)

To fill in the missing part of the equation, let's analyze the given information and the desired conversion. The equation is:

\((-7.0\times 10^4 s^2g⋅m^2)\cdot \pi = ? s^2kg\cdot m^2\)

In this equation, we have a quantity expressed in\(s^2g\cdot m^2\) units on the left-hand side. To convert it to \(s^2kg\cdot m^2\) units, we need to multiply it by a conversion factor.

To perform the conversion, we can use the fact that 1 kg is equal to 1000 g. Therefore, the conversion factor we need is:

1 kg / 1000 g

To ensure that the units cancel out correctly, we need to square this conversion factor because we have \(s^2g\cdot m^2\) on the left-hand side. So the missing part of the equation is:

\((-7.0\times 10^4 s^2g\cdot m^2)\cdot \pi = (-7.0\times 10^4 s^2g\cdot m^2)\cdot (1 kg / 1000 g)^2\)

Simplifying this expression, we get:

\((-7.0\times10^4 s^2g\cdot m^2)\cdot \pi = -7.0 \times10^4 s^2kg\cdot m^2 / 1000000\)

Therefore, the missing part of the equation is \(-7.0 \times 10^4 s^2kg\cdot m^2 / 1000000.\)

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Answer:

3 x 3 x 3 or 3 to the 3rd power :)

Step-by-step explanation:

Lets solve! :)

3 x 3 x 3

9 x 3

27

The volume of the tank would be 27s :)

Have an amazing day!!

Please rate and mark brainliest!

Answer:

62.9 inches cubed

Step-by-step explanation:

V=πr²h

Have a good day :)

Answer:

62.83 or 62.9( if you want simplified )

Step-by-step explanation:

V = π r2 h

Answer:

KE = 1/2 mv²

In terms of Mass Velocity

KE = mv²

Answer: \(KE=\frac{1}{2} mv^{2}\)

Step-by-step explanation:

- the correct equation is: \(KE=\frac{1}{2} mv^{2}\)

- KE is kinetic energy

- m is mass

- v is velocity

besides that, i don't really know how to explain it but hope this helps :)

Answer:

Absolute value;

The non-negative value of x(in your case -19) without regard to its sign.

Basically how far in distance x(in your case -19) is away from 0.

|–19| = 19

Answer:

19

Step-by-step explanation:

Given the following question:

When dealing with absolute value we need to understand that all negatives in between "|  |" are changed into positives. See absolute value (| |) as if its a car wash, and negatives are dirty cars.

In this case...
\(|-19 |\)
\(|-19 |=19\)
\(=19\)

Hope this helps.

The exponential function that goes through the points (0, 14) and (3, 896) is y = 14·3ˣ. This function has a base of 3 and a coefficient of 14.

An exponential function in the form y =abˣ is a function

where y is equal to a multiplied by b raised to the power of x.

To find the function that goes through the points (0, 14) and (3, 896),

We can write the following equation to find the base of the exponential function that goes through the points (0, 14) and (3, 896):

b³ = 896/14

We can then solve for b by taking the cube root of both sides of the equation to get:

b = 3

Now that we know the base of the function, we can use the point (0, 14) to find the value of the coefficient a.

Since the x-value of this point is 0, we can plug 0 in for x in the exponential function y=abˣ to get:

y = ab⁰ = a

Since the y-value of the point (0, 14) is 14, we can set this equal to a to solve for the value of a:

a = 14

So, the exponential function is y = 14·3ˣ

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Answer:

Step-by-step explanation:

Take two random pairs from the table and find the formula:

Find the slope:

Find y-intercept:

The line is:

The best fit is A. y = 0.5x + 23, the other options have too much of difference in the slope or y-intercept

Answer:

48

Step-by-step explanation:

Answer:

48 un²

Step-by-step explanation:

1/2 ( base x height)

1/2( 12 x 8 )

1/2( 96 )

48

If my answer is incorrect, pls correct me!

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

-Chetan K

There are 330 ways to select 7 seed packets out of 11.

To count the number of ways to select 7 seed packets out of 11, we can use the combination formula:

\(( \frac {k}n )= k!(n-k)!n!\)

where n is the number of items to choose from, and k is the number of items to choose. In this case, n=11 and k=7.

Plugging these values into the formula, we get:

\(( \frac{7}{11})= 7!(11-7)!11!\)

Simplifying the factorials, we get:

\(( \frac{7}{11})= \frac{7\times 6\times 5\times 4\times 3\times 2\times 1}{11\times 10\times 9\times 8\times 7\times 6\times 5}\)

Simplifying further, we get:

\(( \frac{7}{11} )= \frac{4\times 3\times 2\times 1}{11\times 10\times 9\times 8}\)

Simplifying again, we get:

\((\frac{11}7)=330\)

Therefore, there are 330 ways to select 7 seed packets out of 11.

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Answer:

3:18

Step-by-step explanation:

From 3:12 PM to 5:12 PM it's 3 hours.

From 5:12 PM to 5:30 PM it's 18 minutes.

Total elapsed time: 3:18

I don't know why the question asks "what part of an hour" when the answer is more than 3 hours.

Answer:

5

Step-by-step explanation:

-15/(-3)

When dividing a negative by a negative, the negatives cancel out, so you're left with 15/3.

15/3 is 5.

Answer:

44 gallons in tank now

36 more gallons needed

Step-by-step explanation:

55% of 80 = 44

Sum ∑(an + bn) is a convergent series with a sum of 0.

A more detailed explanation of the answer.

No, ∑(an + bn) is not necessarily divergent if both ∑an and ∑bn are divergent. It's possible for the sum of two divergent series to converge if the terms in one series "cancel out" the terms in the other series.

For example, consider the series:

∑an = 1 - 1 + 1 - 1 + ...
∑bn = -1 + 1 - 1 + 1 - ...

Both series are divergent. However, if we sum the terms of the two series:

∑(an + bn) = (1 - 1) + (-1 + 1) + (1 - 1) + (-1 + 1) + ...
∑(an + bn) = 0 + 0 + 0 + 0 + ...

The sum ∑(an + bn) is a convergent series with a sum of 0.

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Answer:

Nope

Step-by-step explanation:

According to the Triangle Inequality Theorem, any 2 sides of the triangle must always be more than the third. Here, we can see that the theorem is violated because 11 + 11 < 25. Therefore, it is not a legitimate Triangle.

Answer: A) Nathan’s because his sample was more random

Step-by-step explanation: sampling methods quiz on edge

Nathan's sample is likely to be the most valid. Nathan's because his sample contained elements of the population.

In order to gather information on a service, product, or process, a survey is described as an act of looking at a process or asking a predetermined sample of people. Surveys used to gather data ask a specific set of individuals about their beliefs, actions, or knowledge.

Given, To find out how much time cyclists are in a race train on average each week, Nathan and Jordan develop questionnaires. Every fifth cyclist who crosses the finish line after a race is surveyed by Nathan. Jordan takes a survey of the top five cyclists who cross the finish line.

Since Nathan's sample contained elements of the population.

and it is more random.

The sample used by Nathan is probably the most reliable. Nathan's because the population was represented in his sample.

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Answer:

30/x

Where x is the number

Answer: ok so uhmmmm whats you math class about and what its about just study on that topic and i hope you pass if you have any tests

Answer:

0.9

Step-by-step explanation:

This is a sine triangle. We have the hypotenuse (7) and an angle opposite of x (6). The formula for sine is opposite/hypotenuse; 6/7 = 0.8571428571428571. This, rounded to the nearest tenth, is 0.9.

Answer:

59 degrees

Step-by-step explanation:

Sin = opposite / hypotenuse

In this case sin is 6/7

To find the angle of this we need to use the arcsin, or sin^-1 function

Arcsin(6/7) = 58.9972809 degrees

This gets rounded to 59 degrees

Answer:

a = c * SinФ

Step-by-step explanation:

SinФ = opp / hyp

c = hyp

a = opp

SinФ = a / c

therefore

a = c * SinФ

The company should use a sample size of 601 in order to estimate the proportion of users who would experience an improvement within 4% of the true population with 95% confidence.

To determine the sample size required to estimate the proportion of users who would experience an improvement within 4% of the true population with 95% confidence, we need to use the formula:

n = (z^2 * p * (1-p)) / E^2

Where:

n = sample size

z = z-score for the desired confidence level (95% = 1.96)

p = estimated proportion of users who would experience an improvement (unknown at this stage)

E = maximum error margin (4% = 0.04)

We do not know the estimated proportion of users who would experience an improvement, so we will use a conservative estimate of 0.5 (i.e. assuming that half of the users would experience an improvement).

Substituting the given values:

n = (1.96^2 * 0.5 * (1-0.5)) / 0.04^2

n = 600.25

Since we cannot have a fraction of a sample, we need to round up to the nearest whole number to get a sample size of 601.

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Answer:

a) 40 caramelos

b) 13 bolas

Step-by-step explanation:

A) En cada caja hay 5 caramelos. Si tengo 8 cajas, ¿cuántos caramelos tengo?

1 caja = 5 caramelos

8 cajas = x

Multiplicar cruzada

x × 1 caja = 8 cajas × 5 caramelos

x = 8 cajas × 5 caramelos / 1 caja

x = 40 caramelos

b) Romina tiene 9 bolas y Lidia 4 veces más que ella. ¿Cuántas bolas tiene Lidia?

Romina = 9 bolas

Lidia = 4 bolas más que ella

Lidia = 9 bolas + 4 bolas

= 13 bolas

Answer:

2.5 feet

Step-by-step explanation:

DM

Answer:

2.5

Step-by-step explanation:

Answer:

1, 4, 5,8

all of those

Yesterday, 5 more rooms were occupied than today.

The number of occupied rooms is obtained applying the proportions in the context of the problem.

Yesterday, the number of rooms occupied was given as follows:

4/5 x 100 = 0.8 x 100 = 80 rooms.

Today, the number of rooms occupied is given as follows:

3/4 x 100 = 0.75 x 100 = 75 rooms.

80 > 75, and the difference is given as follows:

80 - 75 = 5.

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