I need help w this question

Answer: 3 sports drinks

Step-by-step explanation:

6 divde by 2= 3

36 divided by 12 =3

in other words

3x2=6

12x3=36

hope this helps

Answer:

The intercept is the coordinate by which a line crosses the x or y-axis. in the slop-intercept form, the intercept is for the y-axis and is included at the end of the formula as 'b,' bound by either adding or subtracting. Ex. y= 2x+6. y-intercept=6

Answer:

5/6

Step-by-step explanation:

0.41/1.33=0.3125=5/6

Answer:

Step-by-step explanation:

a) edj

b) ed

c) i think ag

Answer:

11

Step-by-step explanation:

According to the empirical rule, 95% of data in a normal distribution will be between 2 standard deviations below the mean and 2 standard deviations above the mean.

Therefore, 2 standard deviations above the mean would be 21+2(5)=21+10=31 and 2 standard deviations below the mean would be 21-2(5)=21-10=11.

Thus, the lower value is 11

The maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

maximize: z = c1x1 + c2x2 + ... + cnxn

subject to

a11x1 + a12x2 + ... + a1nxn ≤ b1

a21x1 + a22x2 + ... + a2nxn ≤ b2

am1x1 + am2x2 + ... + amnxn ≤ bmxi ≥ 0 for all i

In our case,

the given LP is:maximize: z = 36x1 + 30x2 - 3x3 - 4x

subject to:

x1 + x2 - x3 ≤ 5

6x1 + 5x2 - x4 ≤ 10

xi ≥ 0 for all i

We can rewrite the constraints as follows:

x1 + x2 - x3 + x5 = 5  (adding slack variable x5)

6x1 + 5x2 - x4 + x6 = 10  (adding slack variable x6)

Now, we introduce the non-negative variables x7, x8, x9, and x10 for the four decision variables:

x1 = x7

x2 = x8

x3 = x9

x4 = x10

The objective function becomes:

z = 36x7 + 30x8 - 3x9 - 4x10

Now we have the problem in standard form as:

maximize: z = 36x7 + 30x8 - 3x9 - 4x10

subject to:

x7 + x8 - x9 + x5 = 5

6x7 + 5x8 - x10 + x6 = 10

xi ≥ 0 for all i

To apply the simplex algorithm, we initialize the simplex tableau as follows:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |   0    |  36    |   30   |   -3   |   -4   |    0    |

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

x5|   0   |   1    |   0    |   1    |   1    |   -1   |   0    |    5    |

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

x6|   0   |   0    |   1    |   6    |   5    |   0    |   -1   |   10    |

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

Now, we can proceed with the simplex algorithm to find the optimal solution. I'll perform the iterations step by step:

Iteration 1:

1. Choose the most negative coefficient in the 'z' row, which is -4.

2. Choose the pivot column as 'x10' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 5/0 = undefined, 10/(-4) = -2.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to

make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.4   |  36    |   30   |   -3   |   0    |   12    |

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

x5|   0   |   1    |  -0.2  |   1    |   1    |   -1   |   0    |   5     |

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

x10|   0  |   0    |   0.2  |   1.2  |   1   |   0    |   1    |   2.5   |

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

Iteration 2:

1. Choose the most negative coefficient in the 'z' row, which is -3.

2. Choose the pivot column as 'x9' (corresponding to the most negative coefficient).

3. Calculate the ratios (RHS / pivot column coefficient) to find the pivot row. We select the row with the smallest non-negative ratio.

Ratios: 12/(-3) = -4, 5/(-0.2) = -25, 2.5/0.2 = 12.5

4. Pivot at the intersection of the pivot row and column. Divide the pivot row by the pivot element to make the pivot element 1.

5. Perform row operations to make all other elements in the pivot column zero.

After performing these steps, we get the updated simplex tableau:

  |  Cj   |   x5   |   x6   |   x7   |   x8   |   x9   |   x10  |    RHS  |

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

z |  0    |   0    |  0.8   |  34    |   30   |   0    |   4    |   0     |

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

x5|   0   |   1    |  -0.4  |   0.6  |   1    |   5   |   -2   |   10    |

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

x9|   0   |   0    |   1    |   6    |   5    |   0   |   -5   |   12.5  |

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

Iteration 3:

No negative coefficients in the 'z' row, so the optimal solution has been reached.The optimal solution is:

z = 0

x1 = x7 = 0

x2 = x8 = 10

x3 = x9 = 0

x4 = x10 = 0

x5 = 10

x6 = 0

Therefore, the maximum value of z is 0, and the values of the decision variables are x1 = 0, x2 = 10, x3 = 0, x4 = 0.

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Step-by-step explanation:

\( consider \: \: {2x}^{2} - 13x + 15 = 0 \\ (2x - 3)(x - 5) = 0 \\ 2x - 3 = 0 \: \: \: \: \: or \: \: \: \: \: x - 5 = 0 \\ x = 1 \frac{1}{2} \: \: \: \: \: or \: \: \: \: \: x = 5 \\ \\ \\ hence \: the \: products \: of \: zero \: are \: x = 1 \frac{1}{2} \: and \: x = 5\)

From the graph of miles driven and pricing, it can be observed that for 200 miles option A price is $100 and option B price is $70.

So option A cost more than option B.

Determine the difference between $100 and $70 to obtain how much option A cost more than option B.

So option A cost $30 more than option B.

From the graph, it can be observed that lines of option A and option B intersect each other at (50,40). So option A and option B cost same for 50 miles.

Answer:

  see the attachments for the graphs

  1. y = 1/4x +4 1/4

  2. y = -5/9x +7/9

Step-by-step explanation:

The relevant formulas are ...

  m = (y2 -y1)/(x2 -x1) . . . . . slope of line through points (x1, y1), (x2, y2)

  b = y -mx . . . . . . . . . . . . . y-intercept of a line with slope m through point (x, y)

  y = mx + b . . . . . . slope-intercept equation of the line

__

Points (3, 5), (-1, 4)

  m = (4 -5)/(-1 -3) = -1/-4 = 1/4

  b = 4 -(1/4)(-1) = 4 1/4

Equation of the line: y = 1/4x + 4 1/4

__

Points (-4, 3), (5, -2)

  m = (-2-3)/(5 -(-4)) = -5/9

  b = 3 -(-5/9)(-4) = 3 -20/9 = 7/9

Equation of the line: y = -5/9x +7/9

Answer:

It is in the one hundreds place

<3

Answer:

700

Step-by-step explanation:

Answer:

It's too small to read

Step-by-step explanation:

Answer:

16. A

Step-by-step explanation:

Answer:

SAMEEE

Step-by-step explanation:

Answer:

The equation for a cylinder is  V = π r 2 h

Step-by-step explanation:

So this is what your equation would look like:

V = (π)(4)(2)(8)

Pi=3.14

Each pack should weigh 11.5 oz when the seeds are redistributed equally.

Since Mr. Salinger wants to redistribute the seeds in such a way that each pack weighs the same, he needs to find the common weight of all the packs. To do this, he can find the total weight of all the packs and divide it by the number of packs.

Using the line plot, we can see that the weights of the 8 packs are:

12 oz

8 oz

10 oz

10 oz

12 oz

14 oz

10 oz

16 oz

To find the total weight of all the packs, we can add these weights together:

12 + 8 + 10 + 10 + 12 + 14 + 10 + 16 = 92 oz

So the total weight of all the packs is 92 oz.

To find the weight of each pack, we need to divide the total weight by the number of packs:

92 ÷ 8 = 11.5 oz

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To obtain a sense of predictability, Kelly suggests engaging in hypothesis testing (d).

Kelly's suggestion aligns with the scientific method, which involves formulating hypotheses and testing them to make predictions and gain a sense of predictability. Hypothesis testing is a systematic approach that allows us to evaluate the validity of a proposed explanation or theory.

Template matching (a) refers to a process where incoming information is compared to stored templates or patterns to identify similarities. While it may be useful in certain contexts, it does not directly address the concept of predictability or the systematic evaluation of hypotheses.

Theory construction (b) involves the development of explanatory frameworks that describe and explain phenomena. While theory construction can contribute to predictability by providing overarching explanations, it is typically preceded by hypothesis testing to validate or refine the proposed theories.

Scientific discovery (c) refers to the process of making new observations, uncovering new phenomena, or formulating novel theories. While scientific discovery plays a crucial role in expanding knowledge and understanding, it is often followed by hypothesis testing to validate or refine the newly discovered information.

Therefore, Kelly's suggestion of engaging in hypothesis testing (d) is aimed at obtaining a sense of predictability by systematically evaluating and testing hypotheses to make reliable predictions about future outcomes or observations.

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Answer:

1.5x+2y=total cost

Step-by-step explanation:

Answer:

The answer is b

Step-by-step explanation:

The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:

55x + 65x = 960

Simplifying the left-hand side of the equation, we get:

120x = 960

Dividing both sides by 120, we get:

x = 8

Therefore, the correct equation is:

B - 65x - 55x = 960

The absolute value of x minus one is equal to two. Therefore, x must be either one greater than two (x = 3) or one less than two (x = 1).

One less than x results in a value of two in absolute terms. As a result, x minus 1 has an absolute value of 2, which is a positive number. The separation of an integer from zero is its absolute value. As a result, x minus 1 is two units from zero in absolute terms. As x minus one has an absolute value of two, its real value must either be two or a negative two. That is to say, x must either be one more than two (x = 3) or one less than two (x = 1).In order to confirm this, let's look at a few examples. If x = 3, then |x - 1| = |2 - 1| = |1| = 1 which is not equal to two. Therefore, x = 3 is not the answer we are looking for. On the other hand, if x = 1, then |x - 1| = |1 - 1| = |0| = 0 which is not equal to two. Therefore, x = 1 is also not the answer we are looking for. The only two possible solutions for the equation |x - 1| = 2 are x = 3 and x = 1. Therefore, the result of |x - 1| = 2 is that x must be either one greater than two (x = 3) or one less than two (x = 1)

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Answer:

Since 60° is one sixth of the entire circle (360°) it means that the length of arc B is 1/6 th of the circumference.

1/6 * (12 * 2π) = 4π

The part in the steering column that allows for changes in the angle between the upper and lower shafts is the universal joint.

The universal joint, also known as a U-joint or Cardan joint, is a mechanical device that enables changes in the angle between two shafts that are not in a straight line. In the context of a steering column, the upper and lower shafts are connected by a universal joint.

As the steering wheel is turned, it exerts rotational force on the upper shaft of the steering column. The universal joint allows for the transmission of this rotational motion while accommodating changes in the angle between the upper and lower shafts. It provides flexibility and compensates for any misalignment between the two shafts, ensuring smooth and continuous rotation of the steering column.

The universal joint typically consists of two yokes connected by a cross-shaped component with needle bearings. These bearings allow for rotation in multiple axes, allowing the steering column to handle variations in the angle between the upper and lower shafts during steering movements.

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since the population standard deviations (σ1 and σ2) are not provided, we cannot calculate the exact test statistic Z.

To test the null hypothesis H0: (μ1 - μ2) = 0 versus the alternative hypothesis Ha: (μ1 - μ2) ≠ 0, we can use a two-sample z-test. The test statistic is calculated as:

Z = (x bar1 - x bar2) / sqrt((σ1^2 / n1) + (σ2^2 / n2))

Where:
X bar1 and x bar2 are the sample means of the two groups,
σ1 and σ2 are the population standard deviations of the two groups,
n1 and n2 are the sample sizes of the two groups.

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By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Consider ΔKML and ΔRTL, we get

RL/KL =15/(15+9)

= 15/24

= 5/8

TL/ML =12.5/(12.5+7.5)

= 12.5/20

= 5/8

Here, RL/KL=TL/ML

Here, ∠KLM≅∠RLT

By SAS similarity, ΔKML and ΔRTL are similar triangles

So, ∠KMT≅∠RTL

By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.

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Answer:

a

Step-by-step explanation:

got it right in edmentum

The sine of an angle in the second quadrant differs from the sine of its reference angle by a negative sign.

In the unit circle, the reference angle is the acute angle formed between the positive x-axis and the terminal side of an angle measured counterclockwise. The sine of an angle is defined as the y-coordinate of the point on the unit circle corresponding to that angle.

In the second quadrant of the unit circle, angles have values between 90 degrees and 180 degrees (π/2 and π radians). Since the reference angle is always the acute angle, the reference angle for an angle in the second quadrant is the angle formed between the terminal side and the negative x-axis.

When comparing the sine of an angle in the second quadrant to the sine of its reference angle, there is a sign difference. The sine function is positive in the first and second quadrants. However, in the second quadrant, the y-coordinate (sine value) is negative because it lies below the x-axis. This means that the sine of an angle in the second quadrant is the negative value of the sine of its reference angle.

Mathematically, if θ is an angle in the second quadrant, and α is its reference angle, then:

sin(θ) = -sin(α)

This relationship holds true because the y-coordinate (sine value) in the second quadrant is the negative value of the y-coordinate in the first quadrant. So, the sine of an angle in the second quadrant differs from the sine of its reference angle by a negative sign.

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The compound interest calculated for 10 years annually, semi-annually, quarterly, monthly, and daily are (a) $2195.05,  (b) $2206.18  (c) $2211.88 (d) $2215.75, and, (e) $2217.63

The formula for Compound Interest is

Amount = Principal X (1 + r/n100)ⁿˣ

where,

Principal = original mount

n = no. of times the interest is applied

t = time period

Here,

Principal = $1400

x = 10

r = 4.6

a)

Since it is compounded annually, the interest will be given 10 times in 10 years. therefore, once a year

Hence,

n = 1

Amount = 1400 X (1 + 4.6/100)¹⁰

= 1400 X (104.6/100)¹⁰

= 1400 X (1.046)¹⁰

= $2195.05

b)

Since the interest is compounded semi-annually here, it will be calculated twice a year.

Hence, n = 2

Therefore we get

Amount = 1400 X (1 + 4.6/200)²⁰

= 1400 X (204.6/200)²⁰

= 1400 X (1.023)²⁰

= $2206.18

c)

Since it is compounded 4 times a year now,

n = 4

Hence we get

Amount = 1400 X (1 + 4.6/400)⁴⁰

= 1400 X (1.0115)⁴⁰

= $2211.88

d)

Here, the interest is calculated 12 times a year

Hence we get

Amount = 1400 X (1 + 4.6/1200)¹²⁰

= 1400 X (10038)¹²⁰

= $2215.75

e)

Here we are told to ignore leap years, hence we are only going to consider a year to have 365 days.

Hence,

n = 365

Therefore, we get

Amount = 1400 X (1 + 4.6/36500)³⁶⁵⁰

= 1400 X (1 + 4.6/36500)³⁶⁵⁰

= 1400 X (1.00012)³⁶⁵⁰

= $2217.63

Correct Question

If 1400 dollars is invested in an account for 10 years. find the value of the investment at the end of 10 years if the interest is:

(a) 4.6% compounded annually

(b) 4.6% compounded semiannually

(c) 4.6% compounded quarterly

(d) 4.6% compounded monthly

(e) 4.6% compounded daily (ignore leap years)

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Line segment AB is a straight line connecting two distinct points, A and B, on a plane. It has a start point (A) and an endpoint (B) and can be measured by its length.

Line segment AB is a straight line that connects two distinct points, A and B, on a plane. It is the shortest distance between two points, and is always a straight line. A line segment can be measured by its length, which is the distance between its start point (A) and its endpoint (B). It can also be measured by its midpoint, which is the point on the line that is equidistant from both A and B. Line segments can be used to create many different shapes and figures, such as triangles and polygons. Line segments can also be used to measure distances on a map, or to illustrate a path from one location to another. Line segment AB can be used to represent any two points on a plane, and is a fundamental building block of geometry.

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Answer:

52

Step-by-step explanation:

52 is a bigger number than 33?

Answer:  Rational

Step-by-step explanation:

Answer:

Irrational

Step-by-step explanation:

The algorithm ensures that g is a generator, satisfying the necessary conditions.

To show that the algorithm produces a generator, we need to verify two conditions:

The algorithm selects a number, g, that is coprime to p-1.

The algorithm checks if g raised to the power of (p-1)/q is not congruent to 1 modulo p for each prime factor, q, of p-1.

Let's go through the steps of the algorithm to demonstrate these conditions:

Start with the prime factorization of p-1: p-1 = q1^a1 * q2^a2 * ... * qn^an, where q1, q2, ..., qn are distinct prime factors.

For each prime factor, q, calculate g = h^((p-1)/q) modulo p, where h is a randomly selected number between 2 and p-1.

Check if g is congruent to 1 modulo p. If it is, go back to step 2 and select a different h.

Repeat steps 2 and 3 until g is not congruent to 1 modulo p for each prime factor, q.

Now let's analyze these conditions:

By raising h to the power of (p-1)/q for each prime factor, the resulting g is guaranteed to be coprime to p-1. This is because g is not divisible by any prime factor of p-1.

For each prime factor, q, g^(p-1)/q is not congruent to 1 modulo p. This is because g^(p-1)/q is congruent to h^((p-1)/q * (p-1)/q) modulo p, and since h^((p-1)/q) is coprime to p, raising it to the power of (p-1)/q * (p-1)/q will not result in 1 modulo p.

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SOLUTION:

Step 1:

we are to find the measure of minor arc cut off by one of the diagonals;

The sum of interior angles in a pentagon is:

Each interior angle of a regular pentagon is

So the size of the major arc can be gotten by the circle theorem; the angle at the centre is twice the angle at the circumference.

Then recall,

Step 2:

We are to find the length of the same minor arc in problem;

Where our angle (titan) is 144 and radius is 10

So the length of the minor arc, given that the radius is 10 cm is 8 pi

"Milton's RBT is collecting duration data on how much time he spends with friends all day on Friday. This is continuous data collection using continuous numbers.

It is a true statement.

Milton's RBT is collecting duration data on how much time he spends with friends all day on Friday. This is continuous data collection using continuous numbers. JJ's mother objects to a goal his IEP team recommended (to identify his ABCs) because he has worked on it for 10 consecutive years and has not mastered it.

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