What is the LCD of 49:63

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

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The risk of explosion in the process industry is 6.6594e-06 per year.

To calculate the risk of explosion, we need to consider the probability of a gas release, the probability of ignition, and the probability of fatal injury.

Step 1: Calculate the probability of an explosion.

The probability of a gas release per year is given as\(1.23 * 10^-^5\).

The probability of ignition is 0.54.

The probability of fatal injury is 0.32.

To calculate the risk of explosion, we multiply these probabilities:

Risk of explosion = Probability of gas release * Probability of ignition * Probability of fatal injury

Risk of explosion = 1.23 * \(10^-^5\) * 0.54 * 0.32

Risk of explosion = 6.6594 *\(10^-^6\) per year

Therefore, the risk of explosion in the process industry is approximately 6.6594 * 10^-6 per year.

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The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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Answer:

\(\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}\)    

Step-by-step explanation:

Given the expression

\(\frac{7}{3}\:-\:\frac{2}{3}\:+\:v^3\:-\:3v^3\)

solving the expression

\(\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}\)

combine the fractions i.e \(\frac{7}{3}-\frac{2}{3}=\frac{5}{3}\)

\(\frac{7}{3}\:-\:\frac{2}{3}\:+\:\sqrt{3}-3\sqrt{3}=\frac{5}{3}+\sqrt{3}-3\sqrt{3}\)

add similar elements  i.e \(\sqrt{3}-3\sqrt{3}=-2\sqrt{3}\)

                                 \(=\frac{5}{3}-2\sqrt{3}\)      

Thus,

\(\frac{7}{3}-\frac{2}{3}+\sqrt{3}-3\sqrt{3}=\frac{5}{3}-2\sqrt{3}\)                        

The dimensions of the cylindrical mailing tube of greatest volume that may be mailed using the US Postal Service are approximately:

Diameter: 3.45 inches

Length: 18.7 inches
Volume: 123.8 cubic inches.

To find the dimensions of the cylindrical mailing tube of greatest volume that may be mailed using the US Postal Service, we need to consider the dimensional restrictions set by the Postal Service. According to their regulations, the length and girth (circumference plus the diameter) of a package must not exceed 108 inches combined.

Let's assume that the tube has a diameter of "d" and a length of "L". The girth of the package is the sum of the circumference of the circular ends and the diameter of the tube, so we have:

Girth = 2π(d/2) + d = πd + d

The length and girth must satisfy the inequality:

L + Girth ≤ 108

Substituting the expression for Girth, we get:

L + πd + d ≤ 108

Solving for L in terms of d, we get:

L ≤ 108 - (π + 1)d

Now, let's consider the volume of the cylindrical tube, which is given by:

V = πr²L = (πd²/4) L

Substituting the expression for L, we get:

V = (πd²/4) (108 - (π + 1)d)

To find the maximum volume, we can take the derivative of V with respect to d, set it equal to zero, and solve for d:

dV/dd = 0

d[πd²/4 (108 - (π + 1)d)]/dd = 0

πd/2 - 3π²d/4 - π/4 + 27/4 = 0

Solving for d, we get:

d = 27/(4π - 6π²)

Substituting this value of d back into the expression for L and the equation for the maximum volume, we get:

L = 108 - (π + 1)d ≈ 18.7 inches

V = (πd²/4) (108 - (π + 1)d) ≈ 123.8 cubic inches

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Hence, the equation amount of dog food left in the bag is \(0.25\)

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given that,

Jada opens a \(5\)-kg bag of dog food and fills her dog's dish with \(0.25\) kg of the content once a day.

On the first time, the dog`s food left in the bag will be

\(5-0.25 ...(1)\)

On second time,  the dog`s food left in the bag will be

\(5-0.25 ...(2)\)

On the third time,  the dog`s food left in the bag will be

\(5-0.25 ...(3)\)

So in the \(n\) times the amount of the food left in the bag will be

\(W=5-0.25(n)\)

It would be in \(n\) times.

Hence, the equation amount of dog food left in the bag is \(0.25\)

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Answer:

p(1)=2-a+4-4

or,10=2-a

so,a=-8

Step-by-step explanation:

hope it helps you

Answer:

$2.20

Step-by-step explanation:

If you do long division you get 2 dollars as total with a decimal of 20 do that's your answer.

Answer:

The cost per pound of potatoes is $2.26.

Step-by-step explanation:

You have to divide the total cost by the total pounds.

So in this case, the total cost is $18.08.

There is a total number of 8 pounds.

So you do:

$18.08 / 8 pounds

             =

$2.26/lb of potatoes

I hope this helps you on your journey to success!

And if you may mark me Brianliest, I will appreciate a whole bunch!

Answer: your answer for the equation: ((5.4) x (2.4) = 12.96

for the second one it would be ((1.67) x (3.5) = 5.845

~I hope this is correct and has helped you, have a great day/night~

Step-by-step explanation:

The required solution of the given product is given as 12.96 and 5.845.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
(5.4) x (2.4) =,

     5.4
  x 2.4
----------------
   216
+108x
----------------
12.96

Similarly,
(1.67) x (3.5) = 5.845

Thus, the required solution of the given product is given as 12.96 and 5.845.

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Answer:

8 pounds

Step-by-step explanation:

x = number of pounds

5x<40

x<40/5

so she can buy X<8 pounds

Answer:

73.5 feet

Step-by-step explanation:

The length of a tree =42 feet

Mr. Ash estimates that this tree is 75% as tall now as it will be when fully grown.

We need to find the length of the tree when it is fully grown. It means we need to find the 75% of 42 and adding 42 to it as follows :

\(T=75\%\times 42+42\\\\=\dfrac{75}{100}\times 42+42\\\\=73.5\ ft\)

So, the tree will be 73.5 feet tall when it is fully grown.

Answer:

First I would suggest to use calculator soup.

Step-by-step explanation:

To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.

Answer:

i think 200

Step-by-step explanation:

Answer:

the answer is 40

Step-by-step explanation:

I took the test on dradpoint

Answer:

blank 1: 2

blank2: 6

hope this helps

Answer:

9,833,923

Step-by-step explanation:

Subtract 9,089,689  from 18,923,612

The length of line segment is 10 units.

Writing the start and end points of line segment in (x, y) axis. First point = (-5, 5) and second point = (3, -1).

To calculate the line segment the formula to be used is -

d = ✓(\( x_{2}\) - \( x_{1}\) )² + (\( y_{2}\) - \( y_{1}\) )²

Keep the values in formula

d = ✓(3 - (-5))² + (-1 - 5)²

d = ✓(3 + 5)² + (-6)²

Performing subtraction and addition based on sign

d = ✓8² + 36

Taking square on Right Hand Side of the equation

d = ✓64 + 36

Performing addition on Right Hand Side of the equation

d = ✓100

Taking square root on Right Hand Side of the equation

d = 10 units

Hence, the distance is 10 units.

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The height of the school is given by the equation H = 6.921 m

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the height of the building be represented as ED = H

Let the distance of mirror from the building be CD = 11.35 m

The distance walked extra from the mirror CB = 2.05 m

The distance of Fawzia's eyes to the ground AB = 1.25 m

Now , let the triangles be represented as ΔABC and ΔCED ,

where both the triangles are similar and have a common angle

So , the corresponding sides of similar triangles are in the same ratio

And , ED / AB = CD / CB

Substituting the values in the equation , we get

ED / 1.25 = 11.35 / 2.05

Multiplying by 1.25 on both sides of the equation , we get

The height of the school building ED = ( 11.35 x 1.25 ) / 2.05

On simplifying the equation , we get

The height of the school building ED = 6.921 m

Hence , the height of the school is 6.921 m

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When they sell 40 hamburgers and 50 hotdogs, they will make a maximum profit of $23.70, and the required inequality is x + y ≤ 90.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other.

Therefore, inequality emerges from a lack of balance.

So, let's take:

x for hamburgers and y for hot dogs.

Then, the objective quantity would be:

33x + 21y

Then, the constraint would be as follows:

x ≥ 10, x ≤ 40

y ≥ 30, y ≤ 70

x + y ≤ 90 (Required Inequality)

Corner points:

(10, 70)

(20, 70)

(40, 50)

(40, 30)

(10, 30)

Testing corner points: P = 33x + 21y

(10, 70): $18.00

(20, 70): $21.30

(40, 50): $23.70

(40, 30): $ 19.50

(10, 30): $9.60

Therefore, when they sell 40 hamburgers and 50 hotdogs, they will make a maximum profit of $23.70, and the required inequality is x+y≤90.

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Correct question:
A snack bar cooks and sells hamburgers and hot dogs during football games. To stay in business, it must sell at least 10 hamburgers but cannot cook more than 40. It must also sell at least 30 hot dogs but cannot cook more than 70. It cannot cook more than 90 sandwiches altogether. The profit on a hamburger is $0.33 and $0.21 on a hot dog. How many of each kind of sandwich should the stand sell to make the maximum profit? Identify which inequalities represent the system for the given situation.

The solution set to inequality is (−12.57, ∞) for the given equation.

what are inequality symbols ?

Inequality symbols are mathematical symbols used to compare two values or expressions. The most commonly used inequality symbols are:&lt; (less than): used to indicate that the value on the left is smaller than the value on the right.&gt;(greater than): used to indicate that the value on the left is greater than the value on the right.≤ (less than or equal to): used to indicate that the value on the left is either smaller than or equal to the value on the right.≥ (greater than or equal to): used to indicate that the value on the left is either greater than or equal to the value on the right.

Given by the question:

Starting with

-1.5(4x+1) ≤ 45-2.5(x+1):-

6x-1.5 ≤ 45-2.5x-2.5-6x-1.5 ≤ -2.5x+42.

5-6x+2.5x ≤ 42.5+1.5-3.5x ≤ 44x ≥ -44/3.5x ≥ -12.57

(rounded to two decimal places)

Therefore, the solution set is (−12.57, ∞).

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Answer:

Hi there!

Your answer is:

A) -2

Step-by-step explanation:

f(-8) means to plug in -8 for x!

(-8)/4 =

-8/4 = -2

f(-8) = -2

Answer:

-2

Step-by-step explanation:

f(x) = x/4

Let x = -8

f(-8) = -8/4

       =-2

Answer:

7.2£

Step-by-step explanation:

I used pencil and paper for this so I am sure

Hope this helps!!! If so please give brainliest!!!

The answer to this arithmetic expression is approximately 9.9998 x 10¹⁸

A combination of numbers, variables, and operators that represents a quantity or mathematical relationship is called an expression.

First, divide sextillion (10²¹) by nonmillion (10⁶) to get 10¹⁵.

Next, multiply 10¹⁵ by 10,000 to get 10¹⁹.

Subtract 200 million (2 x 10⁸) from 10¹⁹ to get 9.9998 x 10¹⁸.

Finally, add 5,000 to get the result of approximately 9.9998 x 10¹⁸ + 5,000 = 9.9998 x 10¹⁸ + 0.0005 x 10¹⁸ = 9.9998 x 10¹⁸.

Therefore, the answer to this arithmetic expression is approximately 9.9998 x 10¹⁸

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The distance that Ellie ran each afternoon is 5.5 miles for a whole week.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the distance that Ellie ran each afternoon, since she ran 24 miles, hence:

3(2.5 + x) = 24

7.5 + 3x = 24

x = 5.5 miles

The distance that Ellie ran each afternoon is 5.5 miles for a whole week.

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The given statement would be False.

What is Mean and Median ?

Mean: A data set's mean (average) is calculated by summing all of the numbers in the set and then dividing by the number of values in the set. Median: When a data collection is ordered from least to largest, the median is the midway value.

If there are a few very small values in a data set compared to the rest of the data, the median will be larger than the mean.

The median is the middle value in a set of data and is not affected by extreme values, while the mean is the average of all values in the data set and is influenced by extreme values.

Therefore, The given statement would be False.

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Answer:

x=6/5

Step-by-step explanation:

x-4=6x-10

-5x=-6

x=6/5

y=6/5-4=-14/5

Answer:

x = 1.2

y = -2.8

Step-by-step explanation:

y = x - 4 and y = 6x - 10

so x - 4 = 6x - 10

x - 6x = 4 - 10

-5x = -6

x = -6/-5

x = 1.2

y = x - 4 = 1.2 - 4 = -2.8

Answer:

D.

Step-by-step explanation:

A function has to have only one y-value for every x-value. This means that D is not a function because it contains (6,2) and (6, 4), which means that there are 2 different y-values for the x-value of 6.

Answer:

Vertical translation

Step-by-step explanation:

Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.

In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.

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