Precision Engineering Factory consumes 12,500 units of a component in every three- month period. The ordering, receiving and handling costs are TZS 3 per order while the trucking costs are TZS 12 per order. Further details are as follows: deterioration and obsolescence cost TZS 0.04 per unit per year, interest cost, TZs 0.06 per unit per year, storage cost TZS 1,000 per year for 50.000 units, a) Calculate the total cost of matenal (ignore decimals and show working clearly).​

Answers

Answer 1

If Precision Engineering Factory consumes 12,500 units of a component in every three- month period.  the total cost of material is TZS 6,060 per year.

How to find the total cost of material?

The annual demand for the material can be calculated as follows:

Annual demand = (12,500 units/3 months) x (4 quarters/year) = 50,000 units/year

Ordering cost = TZS 3 per order

Number of orders = (50,000 units/year) / (12,500 units/order) = 4 orders/year

Ordering cost per year = (4 orders/year) x (TZS 3/order) = TZS 12/year

Trucking cost = TZS 12 per order

Trucking cost per year = (4 orders/year) x (TZS 12/order) = TZS 48/year

Deterioration and obsolescence cost = TZS 0.04 per unit per year

Deterioration and obsolescence cost per year = (50,000 units/year) x (TZS 0.04/unit/year) = TZS 2,000/year

Interest cost = TZS 0.06 per unit per year

Interest cost per year = (50,000 units/year) x (TZS 0.06/unit/year) = TZS 3,000/year

Storage cost = TZS 1,000 per year for 50,000 units

Storage cost per unit per year = (TZS 1,000/year) / (50,000 units) = TZS 0.02/unit/year

Storage cost per year = (50,000 units/year) x (TZS 0.02/unit/year) = TZS 1,000/year

Total cost of material = Ordering cost + Trucking cost + Deterioration and obsolescence cost + Interest cost + Storage cost

Total cost of material = TZS 12/year + TZS 48/year + TZS 2,000/year + TZS 3,000/year + TZS 1,000/year

Total cost of material = TZS 6,060/year

Therefore, the total cost of material is TZS 6,060 per year.

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Related Questions

Type your answer into the box. Kay borrows £5,000 over 1 year. The interest rate is 15% per year. How much interest will she have to pay in total? CH​

Answers

Answer:

£750

Step-by-step explanation:

The interest Kay will have to pay can be calculated using the simple interest formula:

interest = principal x rate x time

where the principal is the amount borrowed, the rate is the annual interest rate, and the time is the duration of the loan in years.

In this case, the principal is £5,000, the rate is 15% per year, and the time is 1 year. Substituting these values into the formula, we get:

interest = 5000 x 0.15 x 1 = £750

Therefore, Kay will have to pay £750 in interest over the course of the one-year loan.

Answer:

Step-by-step explanation:

Since the interest rate is 15%, she'll have to pay 15% of the principal per yar, which is £5000 x 15 / 100 = £750. And since she borrows it for only one years, that total amount of interest will be £750 x 1 = £750.

Solve and check the following equations. Show your solution.

15.) 7x + 5 = 12x - 10
16.) 26 = 24 - x
17.) 2(6x - 7) = 10 ​

Answers

Answer:

15. x = -3.

16. x = -2.

17 x = 2.

Step-by-step explanation:

To solve the equation 7x + 5 = 12x - 10, we want to isolate the variable x on one side of the equation. We can do this by adding or subtracting terms from both sides of the equation until we have x by itself.

First, let's simplify both sides of the equation by combining like terms:

7x + 5 = 12x - 10

-7x -7x (subtracting 7x from both sides)

5x + 5 = -10

Next, let's isolate the term with x by subtracting 5 from both sides of the equation:

5x + 5 = -10

-5 -5 (subtracting 5 from both sides)

5x = -15

Finally, let's solve for x by dividing both sides of the equation by 5:

5x = -15

x = -3

Therefore, the solution to the equation 7x + 5 = 12x - 10 is x = -3.

26 = 24 - x

-24 -24 (subtracting 24 from both sides)

2 = -x

Next, let's isolate the variable x by multiplying both sides of the equation by -1:

2 = -x

-1 -1 (multiplying both sides by -1)

-2 = x

Therefore, the solution to the equation 26 = 24 - x is x = -2.

2(6x - 7) = 10

12x - 14 = 10

Next, let's isolate the term with x by adding 14 to both sides of the equation:

12x - 14 = 10

+14 +14 (adding 14 to both sides)

12x = 24

Finally, let's solve for x by dividing both sides of the equation by 12:

12x = 24

x = 2

Therefore, the solution to the equation 2(6x - 7) = 10 is x = 2.

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A car salesperson had $85,460 in total monthly sales in September and $74,570 in October. The salesperson earned a total of $3,485 in commission from those sales combined.

What is the salesperson's commission as a percent of the total monthly sales?

Answers

commission percentage = 2.18%

What is percentage ?

Percentage is a way of expressing a proportion or a fraction as a fraction of 100. It is denoted by the symbol "%". For example, if there are 50 red marbles out of 100 marbles in a jar, the percentage of red marbles in the jar would be 50%.

To find the salesperson's commission as a percent of the total monthly sales, we first need to calculate the total monthly sales for September and October combined:

Total monthly sales = September sales + October sales

Total monthly sales = $85,460 + $74,570

Total monthly sales = $160,030

Next, we can divide the commission earned by the total monthly sales and multiply by 100 to get the commission as a percentage:

Commission percentage = (Commission earned / Total monthly sales) x 100

Commission percentage = ($3,485 / $160,030) x 100

Commission percentage = 2.18%

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Write an exponential model given two points. (3, 55) and (4, 70)​

Answers

The exponential equation that passes through these two points is:

y = 26.678*(14/11)^x

How to write an exponential equation with these two points?

A general exponential equation is:

y = A*(b)^x

If we know the two points (3, 55) and (4, 70), then we can write  two equations:

55 = A*(b)^3

70 = A*(b)^4

If we take the quotient between the second equation and the first one, then we get:

70/55 = (A*(b)^4)/(A*(b)^3)

70/55 = b

14/11 = b

Then we can write:

55 = A*(14/11)^3

(11/14)^3*55 = A

26.678 = A

Then the exponential equation is:

y = 26.678*(14/11)^x

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You’re trying to save to buy a new $230000Ferrari. You have $31000 today that can be invested at your bank. The bank pays 4.5 percent annual interest on its accounts. How long will it be before you have enough to buy the car? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answers

We can use the formula for compound interest to find the time it will take to reach the target amount:

FV = PV * (1 + r)^t

where FV is the future value (target amount), PV is the present value (amount you have today), r is the interest rate, and t is the time (in years).

Substituting the given values, we get:

230000 = 31000 * (1 + 0.045)^t

Simplifying and solving for t, we get:

t = log(230000/31000) / log(1 + 0.045)

t ≈ 14.09

Therefore, it will take approximately 14.09 years to save enough to buy the Ferrari.

Solve each of the following system of linear equations
x_1+〖3x〗_2=1

2x_1+〖5x〗_2=3

Answers

Answer:

To solve the system of linear equations:

x_1 + 3x_2 = 1 ...(1)

2x_1 + 5x_2 = 3 ...(2)

We can use the method of elimination to eliminate one of the variables. To do this, we multiply equation (1) by 2, and subtract it from equation (2), as follows:

2(x_1 + 3x_2 = 1) => 2x_1 + 6x_2 = 2 ...(3)

2x_1 + 5x_2 = 3 ...(2)

(2x_1 + 6x_2 = 2) ...(3)

-x_2 = 1

Thus, we have found that x_2 = -1.

We can substitute this value of x_2 into either equation (1) or (2) to solve for x_1. Let's use equation (1):

x_1 + 3(-1) = 1

x_1 - 3 = 1

x_1 = 4

Therefore, the solution to the system of linear equations is x_1 = 4, x_2 = -1.

So the solution set is {(4, -1)}.

() Find the value of y in the regular dodecagon whose interior angle
has a measure of (17y + 14)º.

Answers

The value of y in the regular dodecagon is

What is Dodecagon?

Dodecagon is is a closed figure that has 12 sides and 12 angles. It has 12 vertices, each of which is connected to two sides.

What is Regular Dodecagon?

Regular Dodecagon is has all 12 sides of equal length and all angles of equal measure. It is a 12-sided polygon that is symmetrical.

To find the interior angle ,

= (n - 2)180° where the sides is 12

= (12-2)180°

= 1800°

= 1800/12  = 150°

i.e, each angle of the dodecagon = 150°

To determine this,

17y + 14° = 150°

17y = 150° - 14°

17y = 136°

y = 136°/17

y =

Therefore, the value of y =

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Some values of f(x) are given in the table. Find the value of f-¹ (6).

Answers

the answer for this question is - 10!

hope this helps!!!

Kayden and his children went into a grocery store where they sell apples for $0.75 each and mangos for $2 each. Kayden has $20 to spend and must buy a minimum of 16 apples and mangos altogether. Also, he must buy no less than 16 apples. If x represents the number of apples purchased and y represents the number of mangos purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

If x represents the number of apples purchased and y represents the number of mangos we can set up the following:

Kayden has $20, so can spend up to this amount:

0.75x + 2y ≤ 20

He must buy a minimum of 16 apples and mangos altogether:

x + y ≥ 16

Also, he must buy no less than 16 apples:

x ≥ 16

We also need to consider y can't be negative, hence add one more inequality:

y ≥ 0

Plot all four inequalities and see what is the zone of intersection.

The solution is the set of whole coordinates for x and y within the triangle with vertices at (16, 0), (16, 4) and (26.67, 0).

One possible solution is (20, 2) another one (24, 1).

See attached.

a. y = 2x+5


"Move the function 4 to the right"

Pls I want it with the transition equation and the answers
And graphing if you can

Thanks
Be fast

Answers

The solution is, y = 2x + 5+4 when graph would shift by 4 unit.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Given  : y = 2x + 5 .

To find :

If you wanted to shift the graph up what would be equation .

Solution : We have given that y = 2x + 5 .

BY the transformation rule ;

if f(x) +k then graph would shift up by k units .

Then to shift the graph of y = 2x + 5 up we need to add something in 5

Like   y = 2x + 5+4

Then graph would shift by 4 unit.

Therefore,   y = 2x + 5+4 graph would shift by 4 unit.

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for a normal distribution where the mean is 50 and the standard deviation is 10, what percentage of the area is below a score of 31 and above a score of 69 g

Answers

The solution is, the required z-score is, 0.25.

What is Z-score?

In statistics, the standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is being observed or measured. Raw scores above the mean have positive standard scores, while those below the mean have negative standard scores.

here, we have,

Given that :

Mean score, μ = 69

Standard deviation, σ = 4

Score, x = 64

The standardized score, Zscore can be obtained using the formular :

Zscore = (x - μ) / σ

Zscore = (69 - 68) / 4

Zscore = 1 / 4

Zscore = 0.25

Hence, The solution is, the required z-score is, 0.25.

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Test the claim that the mean GPA of night students (un) is larger than the mean GPA of day students (ud) at the 0.05 significance level. The sample consisted of 50 night students, with a sample mean GPA of 2.91 and a standard deviation of 0.08, and 50 day students, with a sample mean GPA of 2.87 and a standard deviation of 0.06.

The p-value is:
The test statistic is:

Answers

The solution of the given problem of Test statistic comes out to be Using a table or calculator with 98 degrees of freedom, we find the value to be approximately 0.06.

Test statistic: What is it?

The test statistic for anything akin to a Z-test has been the Z-statistic, which shows the ordinary normal neutral hypothesis is correct. Suppose you perform a 2 different X y test with a 0.05 threshold of significance and, based on your data, you obtain a 2.5 R t (also referred as a Z-value). 0.0124 is the value for the this Z-value.

Here,

: un - ud <= 0 (the mean GPA of night students is less than or equal to the mean GPA of day students)

H: un - ud > 0 (the mean GPA of night students is greater than the mean GPA of day students)

We will use a significance level of 0.05.

The test statistic is calculated as:

t = (xn - xd - 0) / √(s²/n + s²/n)

where xn and xd are the sample means, s and s are the sample standard deviations, and n is the sample size.

Plugging in the values from the problem, we get:

t = (2.91 - 2.87 - 0) / √0.08²/50 + 0.06²/50) = 1.57

The degrees of freedom for the t-distribution is

f = n₁ + n₂ - 2 = 50 + 50 - 2 = 98 (assuming equal variances).

Using a table or calculator with 98 degrees of freedom, we find the

value to be approximately 0.06.

Since the value (0.06) is greater than the significance level (0.05), we fail to reject the null hypothesis. There is not enough evidence to support the claim that the mean GPA of night students is larger than the mean GPA of day students at the 0.05 significance level.

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If is between 4 and 5, then x is

Answers

Answer:

X=4.5, or X=4 1/2

Step-by-step explanation:

Solve for x. Show work.

Answers

Answer:

x = -7.8

Step-by-step explanation:

Solve for x:

[tex]x-(-3.9)=-3.9[/tex]

Simplify

[tex]x+3.9=-3.9[/tex]

Subtract 3.9 on both sides

[tex]x=-7.8[/tex]

Write an inequality to represent the graph. a solid line passing through points 0 comma 2 and 4 comma negative 1 with shading below the line Group of answer choices y is greater than or equal to negative four thirds times x plus 2 y is less than or equal to negative three fourths times x plus 2 y is greater than or equal to negative three fourths times x plus 2 y is less than or equal to negative four thirds times x plus 2

Answers

The solution to the inequality is x ≤ 1.

What is inequality?

Inequality in mathematics is when two values are not equal. It can be expressed using symbols such as >, <, ≥ and ≤. This can be used to compare two values, express a range of values, or indicate that one value is greater or less than another. Inequality is a powerful tool for solving mathematical problems, as it can be used to deduce relationships between different variables.

To solve this inequality, we must first perform the operations on the left side of the equation to get an expression equal to 4. We can start by simplifying the fraction on the left side of the equation. We can multiply both the numerator and denominator by x, which will give us 5x - 3 = x + 2x. We can then add 3 to both sides to get 5x = 3 + 2x, which can then be simplified to 3x = 3. Finally, we can divide both sides by 3 to get x = 1. Therefore, the solution to the inequality is x ≤ 1.

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Supreme Auto Parts produces components for motorcycle engines. It has plants in Amarillo, Texas, and Charlotte, North Carolina, and supply factories in Detroit and Atlanta. Production and cost data for a major component are as follows. Freight Costs Plant Detroit Atlanta Capacity Unit CostAmarillo $15 $9 $1,500 $110Charlotte $7 $5 $3,300 $120Demand 2,100 1,000 Formulate a transportation model to determine the best distribution plan. If the constant is equal to one, enter "1".Let: X11 = number of components produced in Amarillo and supplied to DetroitX12 = number of components produced in Amarillo and supplied to AtlantaX21 = number of components produced in Charlotte and supplied to DetroitX22 = number of components produced in Charlotte and supplied to Atlanta Min X11 + X12 + X21 + X22 Subject to the constraints X11 + X12 -Select-≤≥=Item 7 X21 + X22 -Select-≤≥=Item 11 + X21 -Select-≤≥=Item 15 X12 + X22 -Select-≤≥=Item 19 X11, X12, X21, X22 ≥ 0

Answers

According to the given information the Minimize equation is

Z = 110X11 + 120X12 + 120X21 + 130X22.

What is Statistics ?

Statistics is a branch of mathematics that deals with collecting, analyzing, interpreting, presenting, and organizing data. It provides methods and techniques to make sense of complex data sets, to draw conclusions and make decisions based on the data. Statistics can be applied to a wide range of fields, including business, economics, social sciences, medicine, and many others. Some key topics in statistics include probability theory, hypothesis testing, regression analysis, and data visualization.

Minimize:

Z = 110X11 + 120X12 + 120X21 + 130X22

Subject to:

X11 + X12 ≤ 1500 (capacity constraint for Amarillo)

X21 + X22 ≤ 3300 (capacity constraint for Charlotte)

X11 + X21 ≥ 2100 (demand constraint for Detroit)

X12 + X22 ≥ 1000 (demand constraint for Atlanta)

where:

X11 = number of components produced in Amarillo and supplied to Detroit

X12 = number of components produced in Amarillo and supplied to Atlanta

X21 = number of components produced in Charlotte and supplied to Detroit

X22 = number of components produced in Charlotte and supplied to Atlanta

Therefore, according to the given information the Minimize equation is

Z = 110X11 + 120X12 + 120X21 + 130X22

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Suppose you are designing short walls to go across the front of flower beds. The walls will be built with small concrete blocks in the design shown here. Each block is 1-foot long by 1-foot wide by 1-foot high. Only whole blocks can be used for the walls.


What is not a symbolic representation of the relationship between the number of blocks in each wall, b, and the length of each wall in feet, f?

Answers

Answer:

f/ 3 4 5 6

b/ 8 10 12 14

Step-by-step explanation:

the 4th wall has 6×3-4=14

so the relationship is

f/ 3 4 5 6

b/ 8 10 12 14

You are correct cuz for every block the wall b and length f will be 3456

Translate the statement five times the difference of a number and 3 is 17

Answers

Answer: el enunciado cinco veces la diferencia de un numero y 3 es 17

Step-by-step explanation:

Answer:

Let the number be X.

ATQ, 5( x -3 ) = 17

5 x - 15 = 17

5x = 17 + 15

x = 32 /5

x = 6.4 ,

4% interest compounded semiannually. What must Tony deposit today so he will have $60,000 in four years?

Answers

Tony must deposit $47,845.50 today in order to have $60,000 in four years with 4% interest compounded semiannually.

Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form

Answers

Point-slope form: y - (-2) = -4(x - 2)

Slope-intercept form: y = -4x - 6

Own integers:

Point-slope form: y - 2 = -2(x - 4)

Slope-intercept form: y = -2x - 6

What does point slope form mean?

Point slope form is a type of linear equation that describes the relationship between two points on a line. It is written in the form: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line. Point slope form is used to find the equation of a line when given its slope and one point on the line. It can also be used to find the slope of the line when given two points on the line.

For example, if the point (2, 3) is given and the slope is 4, the point-slope form of the equation would be y - 3 = 4(x - 2).

The point-slope form of an equation of a line is an equation of the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. In this equation, (x1, y1) = (2, -2) and m = -4, so the point-slope form of the equation is y - (-2) = -4(x - 2).

The slope-intercept form of an equation of a line is an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept of the line. In this equation, m = -4 and b = -6, so the slope-intercept form of the equation is y = -4x - 6.

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You work as a tailor. You are provided with 5(3/4) yards of cloth for making curtains. You use 4(1/4) yards of cloth for that purpose.

How many yards of cloth remain?
A 1 (1/4)
B 1(1/2)
C 1(3/4)
D 10
E 11

Answers

The answer is option B, 1(1/2) yards.

How to determine the total amount?

We apply the following total sales calculation to get the total sales amount.

Total sales = original price + original price * sales tax rate

To find out how many yards of cloth remain, we need to subtract the amount used for making curtains from the total amount provided:

Total amount of cloth provided = 5(3/4) yards

Amount of cloth used for curtains = 4(1/4) yards

Remaining amount of cloth = Total amount of cloth provided - Amount of cloth used for curtains

= 5(3/4) - 4(1/4) yards

= 5 yards + 0.75 yards - 4 yards - 0.25 yards

= 1(1/2) yards

Therefore, the answer is option B, 1(1/2) yards.

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A-32=47 solve the flowing equation for a.

Answers

The value of the equation a - 32 = 47 is a = 79.

The correct option is D.

What is an equation?

A pair of algebraic equations with the equal symbol (=) in the center and the same value are referred to as an equation.

Given:

An equation,

a - 32 = 47.

To find the value of a:

We will use some mathematical operations.

Add 32 to both sides of the equation,

we get,

a - 32 + 32 = 47 + 32

a - 0 = 79

a = 79

Therefore, the value of a is 79.

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I need the amplitude,period and frequency please.

Answers

The amplitude, period and frequency are 1, 2π and 1/2π

How to determine the given properties

From the question, we have the following parameters that can be used in our computation:

f(x) = sin(x - π/2) - 2

A sinusoidal function is represented as

f(x) = Asin(B(x + C)) + D

Where

Amplitude = A

Period = 2π/B

So, we have

A = 1

Period = 2π/1

Period = 2π

For the frequency, we have

frequency = 1/Period

frequency  = 1/2π

Hence, the frequency is 1/2π

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1. we have to buy flat bar length=1ft.that is 2pesos per cm.how much money we need to buy for that flat bar?

Answers

Answer: One foot is equal to 12 inches, and since 1 inch is equal to 2.54 centimeters, we have:

1 foot = 12 inches = 12 x 2.54 cm = 30.48 cm

So the length of the flat bar is 30.48 cm. Multiplying this length by the price per cm, we get:

30.48 cm x 2 pesos/cm = 60.96 pesos

Therefore, we need 60.96 pesos to buy a flat bar of length 1 foot at a price of 2 pesos per cm.

Step-by-step explanation:

A carver begins work on a block of material that has a mass of 1250 g. The block's dimensions are 5 cm by 14 cm by 7 cm. What is the density of the material?

Answers

Answer:

Below

Step-by-step explanation:

Definition of density is  mass / volume = 1250 g / (5 x14x7) = 2.55 gm/cm^3

What is the circumference of a circle with a radius of 14 feet use 22/7 for pi
2,464?” Feet
616 feet
88 feet
44 feet

Answers

The circumference of a circle with a radius of 14 feet is 88 feet.

What precisely is a circle?

Every point in the surface of a circle, which is a circular, two-dimensional object, is evenly separated from the centre. All lines that cross the circle join together to produce the line of reflected symmetry. Each angle has axis of symmetry around the centre, in addition. Monitoring a linear interpolation in a surface while keeping a fixed distance from some other point will result in the closed shape of a circle. The English term circle derives from the Greek word curriculum provides students, which also means hoop or ring.

When we find the circumference, we obtain:

The  circumference( C) of a circle is 2πr.

C=2πr

⇒C=2×[tex]\frac{22}{7}[/tex]×14=88 feet.

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Use the diagram to complete the statement.

Answers

The length of CF is solved to be 12

How to find CF

In the figure the value of CF is solved using the vertical angle theorem and sum of angles in a triangle

In triangle GBC

angle C = 180 - 90 - 45

angle C = 45

Using vertical angle theorem

angle DCB = angle DCF

Using trigonometry relation we have

cos 45 = CF / 12√2

CF = cos 45 * 12√2

CF = 12

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During a snowstorm, Kaylee tracked the amount of snow on the ground. When the storm began, there were 4 inches of snow on the ground. Snow fell at a constant rate of 3 inches per hour until another 6 inches had fallen. The storm then stopped for 5 hours and then started again at a constant rate of 2 inches per hour for the next 7 hours. Make a graph showing the inches of snow on the ground over time using the data that Kaylee collected. Click twice to plot a segment. Click a segment to delete it. 0 Time Since Storm Began (Hours) Snow on the Ground (Inches) x y

Answers

The snowstorm resumes at a consistent rate of 2 inches per hour after 5 hours. Draw a second diagonal line with a slope of 2 as a result. Points 7 and 10 should be the beginning and finish of this line, respectively (14,18).

The resulting graph should include a horizontal line at y=10 from (0,4) to (2,10), a diagonal line with a slope of 2 from (7,10) to (0,4), and a horizontal line at y=3 from (0,4) to (0,10). (14,18).

Describe Graph?

Graphs are visual representations of data that show how any two variables relate to one another. Without requiring a lot of words, they are frequently used to communicate complex and large amounts of data. A specific amount of data must be gathered through surveys or experiments before a graph may be created.

To create the graph of the snow on the ground over time, we can follow these steps:

Start with a point at (0,4) since at the beginning of the storm there were 4 inches of snow on the ground.

From this starting point, draw a diagonal line with a slope of 3, representing the constant rate of snowfall of 3 inches per hour. This line should have a y-intercept of 4 and an x-intercept of 2 (since 6 inches of snow fell in 2 hours).

After the 6 inches of snow have fallen, the snowstorm stops for 5 hours. During this time, the snow on the ground remains the same. So, draw a horizontal line at the y-value of 10 (since there are 10 inches of snow on the ground after the first 6 inches fall).

After 5 hours, the snowstorm starts again at a constant rate of 2 inches per hour. So, draw another diagonal line with a slope of 2. This line should start at the point (7,10) and end at the point (14,18).

The resulting graph should have a diagonal line with a slope of 3 from (0,4) to (2,10), a horizontal line at y=10 from (2,10) to (7,10), and a diagonal line with a slope of 2 from (7,10) to (14,18).

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The function h(x) = (x +9) can be expressed in the form f(g(x)) where f(x) = x³, and g(x)
is defined below:
g(x)=

Answers

Answer:

g(x) = x + 3

Step-by-step explanation:

To see how this works, we can plug g(x) into f to get:

f(g(x)) = f(x + 3) = (x + 3)^3

Then, we can simplify h(x) = (x + 9) as follows:

h(x) = (x + 9) = ((x + 3) + 6) = g(x) + 6

Finally, we can write h(x) in terms of f(g(x)) as:

h(x) = g(x) + 6 = f(g(x)) + 6 = f(x + 3) + 6 = (x + 3)^3 + 6

I NEED HELP PLEASE ITS URGENT

Answers

Answer:

In the given triangle.

Base= 3

Perpendicular=4

Hypotenuse=5

Step-by-step explanation:

CosB = B/H

=3/5

Sin B = P/H

= 4/5

Tan B = P/B

= 4/3

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