When given a word problem, what should you always do to better visualize the problem?

Step-by-step explanation:

-4,2(-4+6×1=2),-10(2+6×-2=-10),14(-10+6×4),-22(14+6×-6),26(-22+6×8)

Answer: 16

Step-by-step explanation:

8+6+2

Answer:

2

Step-by-step explanation:

Under 13 min - that means at least at 07:13 am, and this is the first column, which shows Two People.

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

Step-by-step explanation:

Use the distance formula to determine the distance between the two points.

Distance = √ ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2

Substitute the actual values of the points into the distance formula.

√ ( ( − 1 ) − 2 ) 2 + ( 4 − ( − 9 ) ) 2

Simplify.

√ 178

The result can be shown in multiple forms.

Exact Form:

√ 178

Decimal Form:

13.34166406 …

:) Hope this helped!! :)

96% confidence interval for the population mean life of light bulbs produced by the electrical firm to be between 747.63 and 812.37 hours. This can be answered by the concept of standard deviation.

To calculate the confidence interval, we first need to determine the standard error of the mean, which can be calculated using the formula:

Standard Error of Mean = (Standard Deviation of Population) / sqrt(Sample Size)

In this case, the standard deviation of the population is given as 40 hours, and the sample size is 30. Thus, the standard error of the mean can be calculated as:

Standard Error of Mean = 40 / sqrt(30) = 7.32

Next, we need to find the critical value of t for a 96% confidence level with 29 degrees of freedom (n-1). Using a t-distribution table or calculator, we find this to be 2.048.

Using these values, we can calculate the confidence interval using the formula:

Confidence Interval = Sample Mean +/- (Critical Value * Standard Error of Mean)

Substituting the given values, we get:

Confidence Interval = 780 +/- (2.048 * 7.32) = 780 +/- 15.02

Therefore, the 96% confidence interval for the population mean life of light bulbs produced by the electrical firm is between 747.63 and 812.37 hours. This means we can be 96% confident that the true mean life of all light bulbs produced by the firm falls within this interval.

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Answer:

r = 6

Step-by-step explanation:

The value of radius of the sphere rounded to the nearest whole number is,

⇒ r = 6 cm

We have to given that,

Volume of a sphere = 905 cm

Since, We know that,

Volume of sphere = 4/3 (πr³)

Where, 'r' is radius of sphere.

Now, Substitute the given value, we get;

⇒ 905 = 4/3 (πr³)

⇒ 905 × 3 = 4 × 3.14 × r³

⇒ 2,715 = 12.56 × r³

⇒ r³ = 216.16

⇒ r = ∛216.16

⇒ r = 6 cm

Thus, The value of radius of the sphere rounded to the nearest whole number is,

⇒ r = 6 cm

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Answer:

30

Step-by-step explanation:

I can't prove this, but I can tell you the answer.

30.

a = 100 s  digit

b = 10 s digit

5 is always the units digit.

I'm pretty sure that 30 is the correct answer.

What an interesting question. If I find out how it is done, I'll post it in the comments.

I can say this much.

a + b + 5 must be divisible by 3.

a = 1     b = 9     + 5

a = 1     b = 6     + 5

a = 1     b = 3     + 5

a = 1     b = 0 +  5

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

Three more are obtained by interchanging the 100s and 10s digit except for b = 0

a = 9     b=1    + 5

a = 6     b =1   + 5

a = 3     b= 1   + 5

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

a = 2    b = 2 + 5

a = 2    b = 5  + 5

a = 2    b = 8  + 5

only 2 more are obtained by interchanging the 10s and 100s digit

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

a = 3   b = 4    +5

a = 3   b = 7    +5

You can't go any further. You get 2 more by interchanging the b and a digits.

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

I hope you see what I've done here. I don't think this is an exact proof, but it is an exhaustive search.

Answer:

J(8,4)K(4,10)L(12,12)M(14,10)

3D3L   -> J(8,1)K(4,7)L(9,9)M(11,7)

2R3D  -> J(10,1)K(6,7)L(14,9)M(16,7)

3L2UP -> J(5,6)K(1,12)L(9,14)M(11,12)

The standard error of the mean is $128.125

Given:

a random sample is made of 256 middle managers concerning their annual incomes. the sample mean is computed to be $35,420. if the population standard deviation is $2,050.

n = 256

σ = 2050

standard error = standard deviation / sqrt of n

= 2050/\(\sqrt{256}\)

= 2050 / \(\sqrt{16*16}\)

= 2050 / \(\sqrt{16^2}\)

= 2050/16

= 1025/8

= 128.125

Therefore The standard error of the mean is $128.125.

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The prοbability that the prοpοrtiοn οf red marbles in the sample frοm bin a is greater than the prοpοrtiοn οf red marbles frοm bin b is 0.1573.

Prοbability is a way οf calculating hοw likely sοmething is tο happen. It is difficult tο prοvide a cοmplete predictiοn fοr many events. Using it, we can οnly fοrecast the prοbability, οr likelihοοd, οf an event οccurring. The prοbability might be between 0 and 1, where 0 denοtes an impοssibility and 1 denοtes a certainty.

Here by using probability calculator for sampling distribution of \(p_1-p_2\).

\(z=\frac{\hat p_1-\hat p_2}{\sqrt{\frac{p_1(1-p_1)}{n_1}+\frac{p_2(1-p_2)}{n_2}}}\)

Here \(\hat p_1=p_1\) = 40% = 0.40 and \(\hat {p_2}=p_2\) = 52% = 0.52 and \(n_1=0 , n_2=40\)

=> \(z=\frac{0.40-0.52}{\sqrt{\frac{0.40(1-0.40)}{0}+\frac{0.52(1-0.52)}{40}}}\)

=> z = -1.00561

Here \(\hat p_1 > \hat p_2\)

=> \(\hat p_1 - \hat p_2 > 0\)

Then , P(x<z) = 0.1573.

Hence  the prοbability that the prοpοrtiοn οf red marbles in the sample frοm bin a is greater than the prοpοrtiοn οf red marbles frοm bin b is 0.1573.

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Answer:

umm okay 6.15

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

He didn't put a arc on both sides of the line.

Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.

Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.

To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.

Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:

Distance = Speed × Time

Plugging in the values, we have:

Distance = 3 mph × 3 hours

Distance = 9 miles

Therefore, Jada will walk a distance of 9 miles after 3 hours.

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The given information is as follows:

Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.

Therefore, Jada will walk 9 miles after 3 hours.

The distance covered by Jada after 3 hours can be calculated as follows:

Distance = Speed x Time

Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:

Distance covered by Jada = 3 mph x 3 hours

= 9 miles.

Therefore, Jada will walk 9 miles after 3 hours.

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Answer:

c

Step-by-step explanation:

Here's an example: 3/5 divided by 7/8.

   3/5

  _____

   7/8

Let's do it WRONG, to see why that's bad. Here's our example, multiplied by something that ISN'T equal to one:

   3/5      1       3/5      3/5

  _____ * _____ = _______ = ______ = 3/5

   7/8     8/7     56/56      1

Multiplying 7/8 by 8/7 turns our denominator into 1, which seems helpful. But it leaves us with the same numerator we started with. Can this be right? Is 3/5 divided by 7/8 equal to 3/5 divided by one, so that 7/8 = 1? Oops, that has to be wrong.

For comparison, here's the RIGHT way:

   3/5     8/7     24/35     24/35

  _____ * _____ = _______ = _______ = 24/35

   7/8     8/7     56/56       1

In this case, what we multiplied by, 8/7 divided by 8/7, is equal to one, because anything divided by itself is equal to one. But 1 over 8/7, which we used up above in the first example, is NOT equal to one, which means that if we use 1 over 8/7, we change our question. We may get an answer, but it won't be the right one.

Answer:

I think its 8x8

Step-by-step explanation:

To find the area of a square room is length times width and I know that 10x10 is 100 so I can assume that the room is 10x10. Now you say the edge of the rug is 2 feet from each wall and 10-2 is 8 so thats how I got 8x8.

Note that the measurement of one side of image WXYZ is 4 units while in W'X'Y'Z' is 2 units.

The side is reduced by 1/2.

So we can say that W'X'Y'Z' is a dilation image of WXYZ with a scale factor of 1/2

ANSWER :

a reduction with scale factor of 1/2

Using the slope-intercept form, the y-intercept is 5 5 . b=5

Step-by-step explanation:

wikipedia

Answer:

0,5

Step-by-step explanation:

:) Hope you guys have a good day!

Answer:

0.244

Step-by-step explanation:

1.22÷5

Expand 1.22/5 by multiplying both numerator and the denominator by 100.

122/500

Reduce the fraction 122/500 to lowest terms by extracting and canceling out 2.

61/250

Convert to decimal form.

0.244

Answer:

Step-by-step explanation:

again , you know that the two angles add up to 180°

you know that by the complementary angle rule.

set the two equations equal to 180 and solve for x

180= eq1 + eq2

Answer:

28

Step-by-step explanation:

(3)×3 - 2×(-2)×(1) + 5×(3)×(1)

9 - -4 + 15 = 28

Answer:

46

Step-by-step explanation:

Given

a³ - 2bc + 5ac ← substitute values for a, b, c into the expression

= 3³ - (2 × - 2 × 1) + (5 × 3 × 1)

= 27 - (- 4) + 15

= 27 + 4 + 15

= 46

Answer:

its in progress so tell ur teacher.

Step-by-step explanation:

To construct the first simplex tableau using the Big M method. The initial artificial basic solution is x₅ = 20 and x₆ = 50. The initial entering basic variable is x₁ and the leaving basic variable is x₅.

To construct the first simplex tableau using the Big M method, we first rewrite the problem in standard form as follows:

Maximize \(Z = 2x₁ + 5x₂ + 3x₃\)
subject to
\(x₁ - 2x₂ + x₃ + x₄ = 20\\2x₁ + 4x₂ + x₃ = 50\\x₁ ≥ 0, x₂ ≥ 0, x₃ ≥ 0, x₄ ≥ 0.\)

To construct the initial simplex tableau, we introduce artificial variables x₅ and x₆ to the two equations.

The initial tableau is:

 Basis   |  x₁   |  x₂   |  x₃   |  x₄   |  x₅   |  x₆   |   RHS  
----------------------------------------------------------------------
    x₅    |   1    |   2    |   1    |   0    |   1    |   0    |   20    
    x₆    |   2    |   4    |   1    |   0    |   0    |   1    |   50    
----------------------------------------------------------------------
    -Z    |  -2    |  -5    |  -3    |   0    |   0    |   0    |   0    

The initial artificial basic solution is x₅ = 20 and x₆ = 50. The initial entering basic variable is x₁ and the leaving basic variable is x₅.

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Using the Big M method, the complete first simplex tableau for the given linear programming problem is constructed as follows:

┌─────────────┬──────┬───────┬───────┬─────┬─────┬─────┬─────────────┐

│     BV      │  x₁  │   x₂  │   x₃  │ s₁  │ s₂  │ a₁  │      RHS    │

├─────────────┼──────┼───────┼───────┼─────┼─────┼─────┼─────────────┤

│      Z      │  2   │   5   │   3   │  0  │  0  │  0  │      0      │

├─────────────┼──────┼───────┼───────┼─────┼─────┼─────┼─────────────┤

│   x₁ - 2x₂  │  1   │  -2   │   1   │ -1  │  0  │  0  │     20      │

├─────────────┼──────┼───────┼───────┼─────┼─────┼─────┼─────────────┤

│   2x₁ + 4x₂ │  2   │   4   │   1   │  0  │ -1  │  0  │     50      │

├─────────────┼──────┼───────┼───────┼─────┼─────┼─────┼─────────────┤

│     x₁      │  1   │   0   │   0   │  0  │  0  │ -M  │      0      │

├─────────────┼──────┼───────┼───────┼─────┼─────┼─────┼─────────────┤

│     x₂      │  0   │   1   │   0   │  0  │  0  │ -M  │      0      │

├─────────────┼──────┼───────┼───────┼─────┼─────┼─────┼─────────────┤

│     x₃      │  0   │   0   │   1   │  0  │  0  │ -M  │      0      │

└─────────────┴──────┴───────┴───────┴─────┴─────┴─────┴─────────────┘

The initial (artificial) basic solution is x₁ = 0, x₂ = 0, x₃ = 0, s₁ = 20, s₂ = 50, a₁ = 0. The initial entering basic variable is x₁, which has the most positive coefficient in the objective row. The leaving basic variable is s₁, determined by selecting the row with the smallest positive ratio of the right-hand side (RHS) to the entering column's coefficient. In this case, the ratio for the second row (20/1) is the smallest, so s₁ leaves the basis.

To construct the complete first simplex tableau using the Big M method, we first convert the given problem into standard form by introducing slack variables (s₁, s₂) for the inequalities and an artificial variable (a₁) for the equality constraint. We assign a large positive value (M) to the coefficients of the artificial variables in the objective row.

The first row represents the objective function, where the coefficients of the decision variables x₁, x₁₂₃ are taken directly from the given problem. The slack variables and the artificial variable (a₁) have coefficients of 0 since they don't appear in the objective function.

The subsequent rows represent the constraints. Each row corresponds to one constraint, where the coefficients of the decision variables, slack variables, and the artificial variable are taken from the original problem. The right-hand side (RHS) values are also copied accordingly.

The initial (artificial) basic solution is obtained by setting the decision variables to 0, the slack variables and the artificial variable to the right-hand side values. In this case, x₁ = 0, x₂ = 0, x₃ = 0, s₁ = 20, s₂ = 50, and a₁ = 0.

The initial entering basic variable is determined by selecting the most positive coefficient in the objective row, which is x₁ in this case. The leaving basic variable is determined by finding the smallest positive ratio of the RHS to the entering column's coefficient. Since the ratio for the second row (20/1) is the smallest, s₁ leaves the basis.

The resulting tableau serves as the starting point for applying the simplex method to solve the linear programming problem iteratively.

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Answer:

the number of nickels and dimes is 60 and 12 respectively

Step-by-step explanation:

The computation of the number of nickels and dimes is shown below:

Let us assume the number of dimes be x

So, the number of nickels be 5x

Now according to the question

x + 5x = 72

6x = 72

x = 12

and 5x = 12(5) = 60

hence, the number of nickels and dimes is 60 and 12 respectively

The angle formed in the origami fold is a right angle.

When folding a strip of paper in origami such that the lower edge of the strip aligns perfectly with itself, the resulting angle formed is a right angle. A right angle measures exactly 90 degrees, forming a perfect L shape.

In this case, the fold creates two sides of equal length meeting at a point, with one side forming a horizontal line and the other a vertical line. This perpendicular arrangement produces the characteristic right angle.

Origami is the art of paper folding, originating from Japan. It involves intricate folding techniques to create various shapes and forms. In the case of the origami fold described, the resulting right angle is a fundamental element in creating different structures and designs.

Understanding the nature of angles is crucial in origami, as it allows for precise and accurate folding to achieve the desired outcome.

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I think function A is linear and function B isnt

Step-by-step explanation:

Function A has a constant rate of change and function B looks like a curve

Answer:

Step-by-step explanation:

the answer would be x=0 because if this problem is proportional 5 x 4 = 20

and 0 x 4 =0

Answer:

4=x

Step-by-step explanation:

0 X

— = —

5 20

What times 5 gives you 20 ?

4 so x would be 4

Answer:

its 8,9,13,23 or b

Step-by-step explanation:

toke the test

Answer:

8,9,13,23

Step-by-step explanation:

i took the test as well\

Euler's method will be more accurate if the solution to the differential equation is a lower order polynomial. As the order of the polynomial increases, the accuracy of Euler's method decreases.

Euler's method is a numerical approximation technique used to estimate the solution to a differential equation. It is not exact and introduces some error due to its approximation nature.

The accuracy of Euler's method depends on the order of the polynomial that represents the solution.

In general, Euler's method is more accurate for lower order polynomials. This means that if the solution to the differential equation is a lower order polynomial, the approximation obtained using Euler's method will be more accurate.

To understand this, let's consider an example. Suppose we have a first-order polynomial as the solution to the differential equation.

In this case, Euler's method will provide a reasonably accurate approximation. However, as the order of the polynomial increases, the accuracy of Euler's method decreases.

It's important to note that higher order polynomials have more complex behavior, and Euler's method cannot capture all the intricacies of the solution.

In such cases, other numerical approximation methods, like the Runge-Kutta method, may be more suitable.

In summary, Euler's method will be more accurate if the solution to the differential equation is a lower order polynomial. As the order of the polynomial increases, the accuracy of Euler's method decreases.

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