Bradley's Copiers sells and repairs photocopy machines. The manager needs weekly forecasts of service calls so that he can schedule service personnel. Use the actual demand in the first period for the forecast for the first week so error measurement begins in the second week. The manager uses exponential smoothing with a = 0.1. Forecast the number of calls for week 6, which is next week.
Week Actual Service Calls 2
1 8
2 34
3 38
4 27
5 25
The forecast for week 6 is ________ service calls.

Answer:

249798.8

Hope this helps! <3

The order of operations (PEMDAS) states that we should perform multiplication and division before addition and subtraction. Using this order, we get:

244 - (33456 / 3456) * 345 + 13.55 - 2

= 244 - 97.02 * 345 + 13.55 - 2

= 244 - 33494.1 + 13.55 - 2

= -33238.55

Therefore, 244-33456/3456*345+13.55-2 = -33238.55.

The quadratic function f(x) =\(3(x+3)^2 - 7\) has a minimum at x = -1, and the minimum value is 5.

To determine whether the quadratic function f(x) =\(3(x+3)^2 - 7\)has a minimum or maximum, we can examine the coefficient of the x^2 term, which is positive (3 in this case).

When the coefficient of the x^2 term is positive, the parabola opens upward, indicating that the function has a minimum value. The vertex of the parabola represents the minimum point.

Now let's find the coordinates of the vertex, which will give us the minimum value of the function.

The general form of a quadratic function is f(x) =\(ax^2 + bx + c\), where the vertex can be found using the formula:

x = -b / (2a)

In our case, a = 3 and b = 3*2 = 6 (from (x+3)^2).

Substituting the values into the formula, we have:

x = -6 / (2 * 3)

x = -6 / 6

x = -1

To find the y-coordinate of the vertex, we substitute the x-value (-1) into the function:

\(f(-1) = 3((-1)+3)^2 - 7\)

\(f(-1) = 3(2)^2 - 7\)

f(-1) = 3(4) - 7

f(-1) = 12 - 7

f(-1) = 5

The graph of this function will have a downward-opening parabola, and the vertex will be the lowest point on the curve.

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Answer:

Option D.   \(g(x)=5(0.8)^{x}+2\)

Step-by-step explanation:

Main concepts

Concept 1: identifying horizontal asymptote

Concept 2: assuring decreasing exponential function

Concept 1. identifying horizontal asymptote

Any exponential function of the form \(y=a*b^x\) has a horizontal asymptote on the x-axis.  A constant (positive or negative) added to the end of the exponential expression will shift the graph of the exponential function up (if positive) or down (if negative) the number of units equal to the magnitude of the number.  Since the original function f(x) has a "+2" at the end, it has been shifted up 2 units.  Thus, we can eliminate answers A and C from feasible answers since they each shift the exponential function up 3 units, not 2.

Concept 2. assuring decreasing exponential function

Exponential functions of the form \(y=a*b^x\) increase or decrease based on the value of "b".

Observe that the graph of the function f(x) is decreasing, and the value of b=0.5.

To ensure that g(x) also decreases, the b-value must be between 0 and 1, which eliminates option B.

Option D is the correct answer because the value of "b" is between 0 and 1 (making the graph of the function a decreasing exponential), and the number added at the end is "+2", causing the horizontal asymptote to be at a height of positive 2.

Answer:

466 \(cm^{3}\)

Step-by-step explanation:

Ok to solve this problem we need to find the volume of the rectangular prism and subtract the volume of the cube from it.

The volume of the rectangular prism is Length * Width * Height.

L = 15

W = 9

H = 4

15 * 9 * 4 = 530 \(cm^{3}\)

The volume of the cube is \(l^{3}\)

\(l\) = 4

4^3 = 64

530-64 = 466 cm^3

Answer:

Choice D. There is exactly one plane that contains the three ducks: \(\sf G\), \(\sf H\), and \(\sf J\).

Step-by-step explanation:

The three points \(\sf G\), \(\sf H\), and \(\sf J\) are distinct since each of the three points represents a different duck.

There's only one line through two distinct points in a 2D cartesian plane.

Likewise, given two distinct points (\(\sf G\) and \(\sf J\)) in a 3D space, there would be only one line two the two points.

Assume that plane \(\sf L\) represents the plane that contains the surface of the lake.

A line is in a plane if and only if all points on that line are in the said plane.

Point \(\sf G\) is on the line that contains \(\sf G\!\) and \(\sf H\). However, since point \(\!\sf G\) denotes the flying duck, this point would not be in \(\sf L\) (the plane that contains the surface of the lake.)

Hence, the line that contains \(\sf G\!\) and \(\sf H\!\) would not be in plane \(\sf L\!\).

Given three distinct points in a 3D space, there would be exactly one plane that contains the three points.

Hence, three points in a 3D space would not be non-coplanar.

In this question, point \(\sf G\), \(\sf H\), and \(\sf J\) are all distinct. Hence, there would be exactly one plane that contains these three points.

The question says 4 times the sum of a number and 3 is equals to 6 . This word expression can be represented mathematically as follows

Let

the number = x

sum of the number and 3 = x + 3

Then 4 times the sum of the number and 3 is:

Answer: A,B,E,F

Step-by-step explanation:

Answer:

The answer is A, B, E, F

Step-by-step explanation:

Solution :-

This triangle is a right angled triangle as we can see ∠POC, has a right angled sign. Now, we will assume the missing angle to be x, thus,

25° + 90° + x = 180° ( Angle sum property of a triangle )

115° + x = 180°

x = 180° - 115°

x = 65°

Thus, the measure of missing angle is 65°.

Hope that helps. :D

Answer:

2 years

bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb

An inequality that represent the graph include the following: D. y < –3x + 4.

In Mathematics, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Slope (m) = (0 - 4)/(1.3 - 0)

Slope (m) = -4/1.3

Slope (m) = -3.0

Since everything to the left of the line was shaded, it ultimately implies that the less than inequality symbol would be used and as such, the required equation in slope-intercept is given by:

y = mx + c

y < –3x + 4

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Answer:

When dividing fractions we "invert and multiply".

First, we should change 2 (5/16) to 37/16.

So, 37 / 16 divided by 7 / 8 equals

37 / 16 times 8 / 7

which equals 296 / 112 = 37 / 14 which equals

2 (9/14)

Step-by-step explanation:

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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The given equation is y + 2 = 2(x + 3) and the x-intercept is -2.

To find the x-intercept of the equation y + 2 = 2(x + 3), we need to set y equal to zero and solve for x. The x-intercept occurs when the value of y is zero, meaning the graph crosses the x-axis.

Let's substitute y with 0 in the equation:

0 + 2 = 2(x + 3)

Simplifying the equation:

2 = 2(x + 3)

Dividing both sides by 2:

1 = x + 3

Subtracting 3 from both sides:

-2 = x

The x-intercept is -2. This means that the graph of the equation y + 2 = 2(x + 3) crosses the x-axis at the point (-2, 0).

The x-intercept represents the value of x where the graph intersects or crosses the x-axis. In this case, it occurs when x is equal to -2, and the y-value is zero.

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The option II "The interval is narrower than a 98% confidence interval would be" and III "95% of all samples would show mean commercial length between 23 and 27 seconds" is the true about the question. So the option d is correct.

If all possible samples are taken and confidence intervals are calculated, 95% of them will include the true population mean somewhere within their range.

Because of the large margin of error, a 98 percent confidence interval would be wider than a 95 percent confidence interval. So, here we are. The confidence interval is narrower than a 98% confidence interval.

Furthermore, 95% of all samples would have a mean commercial length of 23 to 27 seconds. As a result, the correct answer is II and III (d).

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Answer:

False

Step-by-step explanation:

1. The inverse function should have c(n) isolated
2. When finding the inverse of a function, the variables c(n) and n are interchanged (and then c(n) is isolated).
It would look like this --->c(n)=50+4n--->n=50+4(c(n)) ---> c(n)=(n-50)/4

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

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Answer:

h = 20 feet

Step-by-step explanation:

s= 2\(\pi\)(25) + 2\(\pi\)(5h)  Substitute 3.14 for \(\pi\) and 785 for s

785 = 2(3.14)(25)+2(3.14)(5)h

785 = 157 + 31.4h  Subtract 157 from both sides

785 - 157 = 157 - 157 + 31.4h

628 = 31.4 h  Divide both sides by 31.4

\(\frac{628}{31.4}\) = \(\frac{31.4h}{31.4}\)

20 = h

Answer:

h = 20 ft

Step-by-step explanation:

Given formula for the surface area of the cylinder:

\(\boxed{S = 2\pi(25) + 2\pi(5h)}\)

Given:

Substitute the given values into the given formula and solve for h:

\(\implies 785=2(3.14)(25)+2(3.14)(5h)\)

\(\implies 785=157+31.4h\)

\(\implies 31.4h=785-157\)

\(\implies 31.4h=628\)

\(\implies h=20\)

Therefore, the height of the cylinder is 20 ft.

Answer: 6 feet and 2 yards are the same distance because each yard is 3 feet

Step-by-step explanation:

The value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

To perform the calculation and express the answer in standard form, follow these steps:

Multiply 0.045 by 2.05:

0.045 × 2.05 = 0.09225

Divide the result by 0.0025:

0.09225 / 0.0025

= 36.9

Convert the answer to standard form by writing it as a decimal multiplied by a power of 10:

36.9 = 3.69 × 10

Therefore, the value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

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Answer:

780

Step-by-step explanation:

In this example we will call Original Price = y

72%=0.72

218.40=0.72*y

1-0.72=0.28

218.4÷0.28=780

Answer:

plot it 2 higher ticks then the zero. hope this helps

Step-by-step explanation:

it should look like this

Answer:

C

Step-by-step explanation:

C

Answer:

20 gallons

Step-by-step explanation:

let's set up an expression to match this question.

if gas costs 3.35 a gallon, and we want to find the number of gallons:

3.35x = 67.00 where x = the number of gallons he bought.

then, solving for x:

x = 67.00/3.35 = 20 gallons

hope this helped!

The coordinates of the fourth vertex of the parallelogram S are (2, -1)

In a parallelogram, opposite sides are parallel and equal in length, so the vector that represents one side can be added to one vertex to find the next vertex.

Given vertices P and Q, the vector PQ can be represented as (Q - P) = (-2 - 3, 3 - 4) = (-5, -1).

So, to find the fourth vertex S, we can add the vector PQ to vertex R:

S = R + PQ = (-3, -2) - (-5, -1) = (2, -1)

Therefore, the coordinates of vertex S are (2, -1).

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Answer:

It will take to Mike 10 days to ride 2x10⁴ meters.

Step-by-step explanation:

We have that Mike rides the bike 2x10³ meters every day, so the distance (D) is:

\( D = 2 \cdot 10^{3} \frac{m}{d} \)   (1)

To find the number of days that will take Mike to ride a distance of 2x10⁴ meters, we need to find "t" in the following reaction:

\( 2 \cdot 10^{4} m = 2 \cdot 10^{3} \frac{m}{d}*t \)  

\( t = \frac{2 \cdot 10^{4} m}{2 \cdot 10^{3} \frac{m}{d}} = 10 days \)

Therefore, it will take to Mike 10 days to ride 2x10⁴ meters.

I hope it helps you!              

0.25

______________________________________

Answer:

Step-by-step explanation:

3 cups of juice divided among 4 people