Evaluate 3x+8y-(x+5) when x=3 and y=6.
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An order of 660 units should be placed at the start of Week 2 to meet the demand requirement of 500 units at the start of Week 5.

We have,

To determine when and how large of an order should be placed to meet the demand requirement of 500 units of Item X at the start of Week 5, we need to consider the lead time and the planned receipts.

Given:

Demand requirement: 500 units at the start of Week 5

Lead time: 3 weeks

Planned receipts: 120 units in Week 1, 120 units in Week 3, and 100 units in Week 4

We can calculate the available inventory at the start of Week 5 by considering the planned receipts and deducting the units used during the lead time:

Available inventory at the start of Week 5

= Planned receipts in Week 1 + Planned receipts in Week 3 + Planned receipts in Week 4 - Units used during the lead time

Available inventory at the start of Week 5 = 120 + 120 + 100 - 500 = -160

The available inventory is negative, indicating a shortage of 160 units at the start of Week 5.

To meet the demand requirement, an order should be placed. Since the lead time is 3 weeks, the order should be placed 3 weeks before the start of Week 5, which is at the start of Week 2.

The order quantity should be the difference between the demand requirement and the available inventory, considering the shortage:

Order quantity = Demand requirement - Available inventory

= 500 - (-160)

= 660 units

Therefore,

An order of 660 units should be placed at the start of Week 2 to meet the demand requirement of 500 units at the start of Week 5.

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Answer:

1.x=4

2.y=-2

3.B=-4

4.j=-2

5.t=1

6.x=-8

7.n=1/16

8.x=10

9. B=8

10.x=23

Step-by-step explanation:

Answer:

Q1=   x=4

Q2=   -y=2

Q3=   b= -4

Q4=   j=-2

Q5=   t=1

Q6=   -14

Q7=   -12

Q8=   x=10

Q9=   b=-1

Q10=   x=3

Step-by-step explanation:

Answer:

2916 and 6724 respectively

Step-by-step explanation:

the steps on how to evaluate 54^2 and 82^2 using the formula for squaring a binomial are:

1. Write the binomial as a sum of two terms.

\(54^2 = (50 + 4)^2\)

\(82^2 = (80 + 2)^2\)

2. Square each term in the sum.

\(54^2 = (50)^2 + 2(50)(4) + (4)^2\\82^2 = (80)^2 + 2(80)(2) + (2)^2\)

3. Add the products of the terms.

\(54^2 = 2500 + 400 + 16 = 2916\\82^2 = 6400 + 320 + 4 = 6724\)

Therefore, the values  \(54^2 \:and \:82^2\)are 2916 and 6724, respectively.

Answer:

54² = 2916

82² = 6724

Step-by-step explanation:

A binomial refers to a polynomial expression consisting of two terms connected by an operator such as addition or subtraction. It is often represented in the form (a + b), where "a" and "b" are variables or constants.

The formula for squaring a binomial is:

\(\boxed{(a + b)^2 = a^2 + 2ab + b^2}\)

To evaluate 54² we can rewrite 54 as (50 + 4).

Therefore, a = 50 and b = 4.

Applying the formula:

\(\begin{aligned}(50+4)^2&=50^2+2(50)(4)+4^2\\&=2500+100(4)+16\\&=2500+400+16\\&=2900+16\\&=2916\end{aligned}\)

Therefore, 54² is equal to 2916.

To evaluate 82² we can rewrite 82 as (80 + 2).

Therefore, a = 80 and b = 2.

Applying the formula:

\(\begin{aligned}(80+2)^2&=80^2+2(80)(2)+2^2\\&=6400+160(2)+4\\&=6400+320+4\\&=6720+4\\&=6724\end{aligned}\)

Therefore, 82² is equal to 6724.

Step-by-step explanation:

A confounding variable is a variable that affects the independent and dependent variables and may cause a false association between them. Therefore, in this case:

A. Giving males a different sports drink than females could be a confounding variable since gender may affect their performance.

C. The timing of the sports drink consumption could also be a confounding variable since it may affect the athlete's performance.

D. Giving different brands of sports drinks to the athletes can be a confounding variable since the different formulas in the sports drinks might affect the results.

Therefore, options A, C, and D represent confounding variables. Option B does not represent a confounding variable since allowing athletes to choose their preferred drink from a cooler is a valid way to ensure that each athlete is comfortable with their sports drink.

Answer:

212

Step-by-step explanation:

The equation actually has 3 solutions, 2 complex and one real.

The real solution is \(3.8797\).

Answer:

Mark me as brainlist

Step-by-step explanation:

y=-3x-7

Answer:

x ≈ 65.4 °

Step-by-step explanation:

cos x = \(\frac{adjacent}{hypotenuse}\)

Cos x = \(\frac{5}{12}\)

Cos x = 0.4167

x = Cos⁻¹ (0.1467)

x ≈ 65.4 °

X=65.4°

\(solution \\ cos \: x = \frac{5}{12} \\ x = {cos}^{ - 1} \frac{5}{12} \\ x = 65.3756 \\ x = 65.4\)

hope this helps..

Good luck on your assignment

Answer: The answer is $1.13.

Step-by-step explanation:

There are 12 cups inside a 3-quart container.

The value of y is 11.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given that Parallelogram ABCD is a rectangle.

Consider that AC and BD are opposite sides. In a parallelogram, we know that opposite sides are congruent which means:

AC = BD

2y + 7 = 3y - 4

Solving;

2y - 3y = -4 - 7

-y = -11

y = 11

Hence, the value of y is 11.

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Thus, the company must consider fixed monthly payments of amount $497.92 into the account to reach $97,000 in 13 years.

To find the monthly payment needed to reach $97,000 in 13 years, we can use the sinking fund formula:

FV = PMT * [(1 + i)^n - 1] / i

where:
FV = future value ($97,000)
PMT = monthly payment (unknown)
i = monthly interest rate (3.2% compounded monthly, which is 0.032 / 12 = 0.002667)
n = number of months (13 years * 12 months/year = 156 months)

Rearrange the formula to solve for PMT:

PMT = FV * i / [(1 + i)^n - 1]

PMT = 97,000 * 0.002667 / [(1 + 0.002667)^156 - 1]

PMT ≈ 497.92

So, the company should make fixed monthly payments of approximately $497.92 into the account to reach $97,000 in 13 years.

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Answer: 173

Step-by-step explanation:

Jan 111

Feb 173

Mar 111

Apr 173

May 111

Jun 173

Jul 111

Aug 173

Sep 111

Oct 173

Nov 111

Dec 173

Average = 142

Answer:

y = 4n + 5

Step-by-step explanation:

y is your output and n in your input

y = 4n + 5

When the input is 1, the out put is 9

y = 4n + 5

y = 4(1) + 5

y = 4 + 5

y = 9

When the input is 2, the output is 13

y = 4n + 5

y = 4(2) + 5

y  = 8 + 5

y = 13

And so on and so on....

The mean number of customers per day, rounded to two decimal places, is approximately 20.36 customers.

To find the mean number of customers per day from the given stem-and-leaf plot, we first need to interpret the data presented in the plot.

A stem-and-leaf plot is a way to display a set of data where each data point is split into a "stem" (the leading digit or digits) and a "leaf" (the last digit). Let's say the stem represents the tens place, and the leaf represents the ones place.

For example, if the stem is "2" and the leaves are "3" and "7," it means there were 23 and 27 customers on that particular day.

Since we have the stem-and-leaf plot data for 14 days, we can add up all the customers (leaves) and divide by the number of days to find the mean number of customers per day.

Let's assume the stem-and-leaf plot looks like this:

```

Stem   | Leaf

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

1     | 1 3 4

2     | 3 5 7

3     | 0 2 6

4     | 0 2

```

Now, let's calculate the mean number of customers per day:

Total number of customers = (11 + 13 + 14 + 23 + 25 + 27 + 30 + 32 + 36 + 40 + 42) = 285

Number of days = 14

Mean number of customers per day = Total number of customers / Number of days = 285 / 14 ≈ 20.36

Thus, the appropriate answer is 20.36 customers.

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Step-by-step explanation:

the volume = 3.14×12²×20

= 9043.2 cm³

Usually a rotation doesn't happen with dilation problems, but it appears that has been done here. Anyway, note the short leg of the left triangle is 1 unit. Compare this to the short leg of the triangle on the right which is 2 units. The jump from 1 to 2 means we multiplied by 2. The scale factor must be 2.

If you focus on the long leg of the left triangle, it is 2 units while the long leg of the triangle on the right is 4 units. This also represents a scale factor of 2.

Answer: X is equal to either 0 or -42

Step-by-step explanation:

For the first graph

A = (-5, 2)

B = (5, -4)

To calculate the slope we will use the following formula

The answer would be m = -3/5

For the second graph

A = (-1, -1)

B = (3, 0)

To calculate the slope we will use the following formula

The answer would be m = 1/4

For the third graph

In the third graph, we have a vertical slope at point x = 2

In this case the slope would be equal to infinity and the equation of the line would be equal to x = 2

Answer:

$3.25

Step-by-step explanation:

So,

If a package of 17 sliced apples is $2.21, lets find out the price per apple.

2.21 / 17 = 0.13

so, the price per apple is $0.13

Now, we find the price of a package with 25 sliced apples.

0.13 x 25 = 3.25

So, the price of a package with 25 sliced apples is $3.25

Hope this helps!

The gallon used by the first car is 35 gallons and the gallon used by the first car is 25 gallons.

The first step is to form a system of linear equation:

35a + 20b = 1725 equation 1

a + b = 60  equation 2

Where:

The elimination method would be used to solve this question.

Multiply equation 2 by 35:

 35a + 35b = 2100  equation 3

Subtract equation 1 from equation 3:

15b = 375

Divide both sides of the equation by 15:

b = 375 / 15

b = 25

Substitute for b in equation 2 :

a + 25 = 60

a = 60 - 25

a = 35

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Answer:

6.3×10^6

Step-by-step explanation:

6.3×10^6

in standard form

Answer:

\(y = -\frac{1}{4} + \frac{11}{2}\)

Step-by-step explanation:

use y = mx + b where:

y = y-coordinate = 6

m = slope = -1/4

x = x-coordinate = -2

b = y-intercept = what we're solving for to complete the equation

plug the values into the equation

\(6 = -\frac{1}{4}(-2) + b\)               multiply \(-\frac{1}{4}\) and 2

\(6 = \frac{1}{2} + b\)                         subtract \(\frac{1}{2}\) from both sides

\(b = \frac{11}{2}\)

now we plug m and b into the equation and leave x and y as variables to get the final equation:

\(y = -\frac{1}{4} + \frac{11}{2}\)

Answer:

(x + 2)² = 9

x = 1 or - 5

Step-by-step explanation:

x² + 4x - 5 = 0

Solving first using completing the square method

x² + 4x = 5

x² + 4x + (4/2)² = 5 + (4/2)²

x² + 4x + 2² = 5 + 2²

x² + 4x + 4 = 5 + 4

x² + 4x + 4 = 9

Factorise

x² + 2x + 2x + 4 = 9

x(x + 2) + 2(x + 2) = 9

(x + 2)(x + 2) = 9

(x + 2)² = 9

Square root both sides

√(x + 2)² = √9

x + 2 = ± 3

x + 2 = +3

x = 3 - 2

x = 1

x + 2 = -3

x = -3 - 2

x = -5

Hence, x = 1 or - 5

Answer:

6/7 x 21 = 18

Answer:

the answer is 18 hope this helped :)))

The number that will be next in the series will  be  63 .

In the question ,

a recurrence relation is given that is  0, 3, 8, 15, 24, 35, 48, ? .

we have to find the number that will come in place of question mark .

On carefully examining the series , we can see that

3 - 0 = 3

8 - 3 = 5

15 - 8 = 7

24 - 15 = 9

35 - 24 = 11

48 - 35 = 13

we can se that increments 3,5,7,9,11,13,... form an Arithmetic Progression

with first term as 3 and common difference as 2 ,

So ,the next increment will be 13+2 = 15

let the next term be "x" .

x - 48 = 15

x = 15 + 48 = 63

the number in place of ? is 63 .

Therefore , The number that will be next in the series will  be  63 .

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Answer:

My best guess is 172.05

Step-by-step explanation:

Answer: The answer is from sanakhatri5.

Step-by-step explanation: Area of star is 81.25cm

The standard deviation will increase with the sample size, becoming n ≥ 30.

What is the central limit theorem?

The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.

What is the standard deviation?

The standard deviation measures a set of values' variance or dispersion. While a high standard deviation suggests that the values are dispersed throughout a broader range, a low standard deviation indicates that the values tend to be close to the established mean.

According to the theory for the central limit, when large samples are drawn from each community, with and confidence interval, the sample distribution of means may be close to the interval, regardless of the underlying population demographics. The stronger the approach, the larger the sample (typically n≥30).

The sample is significant unless the population is not regularly distributed.

Therefore, if the sample size increases the standard deviation will be n≥30.

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Answer:

22.3 degrees

Step-by-step explanation:

bisector from C to c at a 90 degrees is 2.658427

my using 6 * sin(26.3)

switch sides and use inverse sin to get 22.3 degrees

Answer:

20

Step-by-step explanation:

Law of sines. 7/sin26.3 x 6/sinb

7sinb=sin26.3x6

7sinb=sin26.3x6 (/7)

sinb=0.44307x6/7

sinb=2.6584/7

sinb=0.37977 (/sin-1)

b=22.3 and closest to 20

I hope it's correct