Which describes the end behavior of the graph of the function f(x)=5x^3-3x^2+x?

The division statement 1/4 ÷ 7/16 can be seen in a real-life situation when a ratio of boys in two different classes  is being ascertained to help use the ratio of said classes to derive the distribution of textbooks

This is further explained below.

Generally, The process of combining numbers to create new numbers is referred to as division, and it is one of the four fundamental operations of mathematics.

In conclusion,  the remark on the division In real life, the ratio 1/4 to 7/16 may be observed while determining the number of male students in two distinct classrooms in order to determine how many textbooks should be assigned to each of those classes based on the number of male students in each class.

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The solution is, we may have, the best way to box the apples for mailing as the boxes can have 3 rows, 3 columns, and 2 layers.

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

Zhang is preparing to send his grandfather 18 apples he picked as a gift.

i.e. total number = 18

now, dimensions of the box = rows × columns × layers

so, we get,

18 = 3×3×2

Hence, we may have, the best way to box the apples for mailing as the boxes can have 3 rows, 3 columns, and 2 layers.

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Answer: search

Step-by-step explanation: look up the question on your browser and the answer will pop up

Answer:

1/10 > 9

hope it help u.

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Combinations have allowed us to determine that there are 38760 different groups of six children that you can drive.

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant.

The number of permutations/k! is the formula for computing the number of combinations. n!/(n-k) is the number of permutations!

Hence, the number of combinations is (n!/(n-k)!)/k!

So, there are 20 children in total.

There are 6 students who can fit in the van.

The maximum number of 6-child groups that the van can accommodate.

²⁰C₆

n! = n(n-1)(n-2)(n-3).......1

= (20 x 19 x 18 x 17 x 16 x 15) / (6 x 5 x 4 x 3 x 2)

= 4 x 19 x 2 x 17 x 15

= 38760

Therefore, combinations have allowed us to determine that there are 38760 different groups of six children that you can drive.

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Complete question:

You volunteer to help drive children at a charity event to the zoo. But you can fit only 6 of 20 children present in your van. How many different groups of 6 children can you drive?

Answer:

A.  We know that this was an experiment rather than an observational study because treatments were administered, with the first group receiving the experimental drug, the second group receiving a placebo, and the third group receiving no treatment."

B. The factors are the variables.  The independent variable was group three that received no treatment, while the dependent variables were the first and second groups that received some treatments.  Another variable is the change in blood pressure recorded at the end of the period.

The levels refer to the different treatments that were administered to the three groups: experimental drug, placebo, and no treatment.

C. The principles of experimental design are Randomization, Repetition, and Control.  We are not aware of how the participants were chosen and this experiment was not replicated in the scenario.  We can affirm that there is Control because the three groups were not given the same treatment.

Step-by-step explanation:

In an observation, the researcher does not attempt to change any variables.  She simply observes and then records her observations.  In an experimental study, the researcher creates a control group and, also at least, one testable group.  The purpose is to compare the control group and the testable group.

Answer:

MT is a segment bisector of the ray PQ

Answer:

Explanation:

You can clearly see that when ray MT intersected PQ, it has showed two small lines between the equal distances. This means that if Ray MT intersected the line, they are both equal in length. Hence, Ray MT is the segment bisector.

Answer:

this is the remainder.

Answer:

A

Step-by-step explanation:

The inequality is solved and the number is x ≥ 12

Given data ,

Let the number be represented as x

Now , sum of three times a number and -4 is at least twice the number plus 8

And , 3x - 4 ≥ 2x + 8

To solve for "x", we can start by isolating the "x" term on one side of the inequality

3x - 4 ≥ 2x + 8

Subtract 2x from both sides , we get

3x - 2x - 4 ≥ 2x - 2x + 8

x - 4 ≥ 8

Add 4 to both sides , we get

x - 4 + 4 ≥ 8 + 4

x ≥ 12

Hence , the inequality is x ≥ 12

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The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

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The area of the shaded region of the rectangle is approximately 573.92 square feet.

The figure in the image is that of a rectangle with a semi-circle inscribed in it.

The area of rectangle is expressed as:

Area = Length × Width

The area of semi-circle is expressed as:

Area = 1/2 × πr²

To determine the area of the shaded region, we simply subtract the area of the semi-circle from the area of the rectangle.

Area of shaded region = area of rectangle - area of semi-circle

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

From the image:

Length = 40 ft

Width = 20 ft

Radius r = 12 ft

Plug the values into the above formula:

Area of shaded region = ( Length × Width ) - ( 1/2 × πr² )

Area of shaded region = ( 40 × 20 ) - ( 1/2 × 3.14 × 12² )

Area of shaded region = ( 800 ) - ( 226.08 )

Area of shaded region = 573.92 ft²

Therefore, the area is approximately 573.92 square feet.

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Answer:

x=45

Step-by-step explanation:

i hope its right good luck :)

i think im wrong

A table showing the number of graduates by subject from a university's faculty of natural science in 2002.

1) To calculate the number of students that graduated, find the sum of the number of graduates from each subject.

The number of students that graduated is 60.

2) To determine the sector angle that will represent the number of graduates in each subject, divide the number of graduates in each subject by the total number of students and then multiply by 360º.

3) To construct a pie chart with radius, 4cm to represent the information, draw a circle of radius 4cm and partition it into sectors with central angles as calculated in (2) above.

Answer:

Step-by-step explanation:

(10^2-6^2) gives the hypotenuse of the smaller triangle therefore we get 8 units for that side.looking for the value of x

(8^2-3^2)=x^2

(64-9)=x^2

55=x^2

X=√55

Using Linear equations, In 6 years of time, both two trees reach the same height.

The concept used in this problem is the application of linear equations to find the number of years it will take for the two trees to reach the same height. To solve this problem using linear equations, we can assume the number of years as 'x' and form two linear expressions and solve them from 'x' i.e the number of years.

Here we have

A tree that is 3 feet tall and is growing at a rate of 2 1/2 feet each year.

Here 2 1/2 = 5/2 feet = 2.5 feet

A tree that is 6 feet tall is growing at a rate of 2 feet each year.

Let both trees reach the same height after 'x' years

The height of first tree=  [ 3 + 2.5(x) ]

The height of the second tree = [ 6 + 2(x) ]    

As we assumed both sides are equal

=>  [ 3 + 2.5x ] =  [ 6 + 2x ]  

Subtract 3 from both sides

=> 3 - 3 + 2.5x = [ 6 - 3 + 2x ]  

=>  2.5x =  2x + 3

Subtract 2x from both sides

=> 2.5x - 2x = 3

=> 0.5x = 3

Divide by 0.5 into both sides

=> 0.5x/0.5 = 3/0.5

=> x = 6

Therefore,

In 6 years of time, both two trees reach the same height.

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Answer:

5.78571428571

Step-by-step explanation:

9/7 = 1.28571428571

9/2 = 4.5

And if you add it you get 5.78571428571

hopes this helps..

Answer:

Ok ill help u ! What do u need help on?

The evaluation of the original expression when x = 0 is 1/4

\( \frac{ {x}^{2} + 8x - 33}{ {x}^{2} - 3x - 54 } \div \frac{ {x}^{2} + 17x + 66}{ {x}^{2} - 12x + 27} \)

substitute x when x = 0

\( \frac{ {0}^{2} + 8(0) - 33}{ {0}^{2} - 3(0) - 54 } \div \frac{ {0}^{2} + 17(0) + 66}{ {0}^{2} - 12(0) + 27} \)

\( = \frac{ - 33}{ - 54} \div \frac{66}{27} \)

\( = \frac{ - 11}{ - 18} \div \frac{22}{9} \)

Multiply by the reciprocal of 22/9

\( = \frac{ - 11}{ - 18} \times \frac{9}{22} \)

\( = \frac{ - 99}{ - 396} \)

= 1/4

Hence, the evaluation of the original expression when x = 0 is the reciprocal of Claire's answer 1/4

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Answer:

OPTION B SHOULD BE CORRECT

Answer:

y = -2x

Step-by-step explanation:

The equation is y = mx +b

m = the slope

b = y-intercept

The slope = rise/run

Let's pick 2 points (0,0) (2,-4); we see the y decrease by 4 and the x increase by 2, so our slope is

m = -4/2 = -2

Y-intercept is when x = 0, y-intercept is located at (0,0)

So our equation is

y = -2x

A direct variation equation that relates t and v is t = 1.5v

It should be noted that a direct variation implies that there's a proportional relationship between the quantities that have a direct relationship.

The amount of vacation v (in hours) an employee earns varies directly with the amount of time t. This will be:

t = kv

where k = constant of proportionality

In this case, the employee who works 2 weeks earns 3 hours of vacation. This will then be:

3 = 2k

k =3/2

k = 1.5

The variation is t = 1.5v.

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Answer:

Range = Highest - Lowest

= 12 - 0

= 12

\(\text{Given that,}\\\\f(x) = 3x +12, ~ ~ g(x) = 3x -1\\\\(f \circ g)(x)\\\\=f(g(x))\\\\=f(3x-1)\\\\=3(3x-1) +12\\\\=9x - 3 +12\\\\=9x +9\\\\=9(x+1)\)

Answer: F

Step-by-step explanation:

Answer: correct answer is A

Step-by-step explanation:

Remember that the coordinates (−2,−5π3) tell us the radius r=−2 and the angle θ=−5π3. So the point should be on the circle labeled 2 and form an angle of −5π3 with the negative x-axis. Point A is the correct point.

To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:

Monthly basic salary: Rs 48,000

Social security tax rate: 1%

Income tax rate on income up to Rs 5,00,000: 0% (no tax)

Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%

Dashain allowance: 1 month's salary

Deposit in Citizen Investment Trust (CIT): 10%

Rebate on income tax: 10%

(i) Annual Income:

Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:

Annual Basic Salary = Monthly Basic Salary x 12

= Rs 48,000 x 12

= Rs 5,76,000

Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:

Annual Income = Annual Basic Salary + Dashain Allowance

= Rs 5,76,000 + Rs 48,000

= Rs 6,24,000

Swornima's annual income is Rs 6,24,000.

(ii) Tax Rebate:

Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.

(iii) Annual Income Tax:

First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.

Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000

= Rs 1,24,000

Income Tax in this range = Taxable Income x Tax Rate

= Rs 1,24,000 x 0.1

= Rs 12,400

Now, let's calculate the total annual income tax:

Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000

= Rs 12,400

Next, we calculate the rebate on income tax:

Tax Rebate = Total Annual Income Tax x Rebate Rate

= Rs 12,400 x 0.1

= Rs 1,240

Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.

To summarize:

(i) Swornima's annual income is Rs 6,24,000.

(ii) Swornima's tax rebate is Rs 1,240.

(iii) Swornima should pay an annual income tax of R