If a body moves in a straight line according to the law s = 24t + 3t2 - t3 , where s is the distance measured in meters from the origin and t is the time in seconds after it starts to move, calculate the body's velocity as a function of time. A. V = 30t - t2 B. V = 24 + 6t - 3t2 C. V = 24 + 3t - t2 D. V = 30t - 3t2

Data that is collected can be either categorical or numerical data.Categorical variables represent types of data which may be divided into groups.

December is the twelfth and last month of the year .The word December is a  categorical discrete data which is also known as qualitative, because it is a name instead of a number.Among the options given December is a month of a year.

The month of the year is December is a categorical data .

Answer:

There will be approx 148 bushels in per acre.

Step-by-step explanation:

You planted 488 acres of corn last season.

you sold all your corn: 8,120 bushels in August and 64,100 bushels in September.

Total bushels = [tex]8120+64100=72220[/tex]

Now, this amount of bushels were in 488 acres of land.

So, per acre will contain = [tex]72220/488=147.99[/tex]≈ 148 bushels

Hence, there will be approx 148 bushels in per acre.

Answer:

[tex]\frac{(x-7)}{(x-5)}[/tex]

option D is correct

Step-by-step explanation:

[tex]\frac{(x-7)(x+1)}{(x+1)(x-5)}[/tex]

In an rational expression , if we have same factors at the top and bottom  then we cancel it out

In our given rational expression we have x+1  at the top and  bottom

so we cancel out x+1

After cancelling out x+1, we are left with

[tex]\frac{(x-7)}{(x-5)}[/tex]

option D is correct

Answer:  13

Step-by-step explanation:

Given : The equation [tex]d=\dfrac{1}{2}n(n-3)[/tex] gives the number of diagonals d for polygon with n sides.

To find the number of sides n for a polygon that has 65 diagonals, we substitute the value of d= 65 in the given equation, we get

[tex]65=\dfrac{1}{2}n(n-3)[/tex]

Multiply 2 on both sides , we get

[tex]n(n-3)=130\\\\\Rightarrow\ n^2-3n-130=0\\\\\Rightarrow\ n^2-13n+10n-130=0\\\\\Rightarrow\ n(n-13)+10(n-13)=0\\\\\Rightarrow\ (n-13)(n+10)=0\\\\\Rightarrow\ n= -10\ or\ n= 13[/tex]

But number of sides cannot be negative, so the number of sides n for a polygon that has 65 diagonals = 13

Final answer:

The answer explains how to calculate the number of chocolate ice creams sold in a situation where vanilla and strawberry ice creams are already accounted for.

Explanation:

The total number of ice creams sold is 200.

45% are vanilla ice creams. 45% of 200 is 90.

30% are strawberry ice creams. 30% of 200 is 60.

To find the number of chocolate ice creams sold:

Chocolate ice creams = Total ice creams - (Vanilla ice creams + Strawberry ice creams)

Chocolate ice creams = 200 - (90 + 60)

Chocolate ice creams = 200 - 150 = 50

Therefore, 50 chocolate ice creams are sold.

The poorest countries in the world are primarily in Africa and Asia, according to the World Bank's 2020 report. These countries struggle with governance issues, economic struggles, conflict, and other socio-economic problems, inhibiting their growth. The Democratic Republic of Congo, despite its wealth in resources, significantly exemplifies this due to political instability.

According to the World Bank rankings, many of the poorest countries globally share common traits such as governance failures, economic struggles, and conflicts. These factors, among others, inhibit economic growth and improvement across sectors such as healthcare, education, and infrastructure.

As detailed in the World Bank's 2020 report, the ten lowest income countries include nations primarily located in Africa and Asia. Due to various socioeconomic issues, these countries have low gross national income (GNI) per capita, with notable examples including Afghanistan, Ethiopia, and Zimbabwe.

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A person needing a car for a few weeks while visiting family out of state would most likely choose A. Car rental for its short-term flexibility and convenience.

Car rental is the ideal choice for short-term car needs while visiting family out of state.

It offers flexibility in terms of duration, allowing individuals to rent vehicles for specific periods, such as a few weeks, without the commitment of ownership or long-term contracts.

With a wide range of vehicle options and rental locations available, car rental services provide convenience and accessibility.

Additionally, rental agreements typically include insurance coverage and roadside assistance, offering peace of mind to travelers during their stay.

Overall, car rental meets the temporary transportation needs of visitors efficiently and effectively.

Complete Question:

A person needing a car for a few weeks while visiting family out of state would most likely choose which of the following?

A. Car rental

B. Car share

C. Carpool

D. Car lease

To find similarity ratio a:b

We take the sides and make a proportion

[tex]\frac{height \ of \ smaller \ cone}{height \ of \ larger \ cone} = \frac{radius \ of \ smaller \ cone}{radius \ of \ larger \ cone}[/tex]

[tex]\frac{9}{15} = \frac{6}{10}[/tex]

[tex]\frac{3}{5} = \frac{3}{5}[/tex]

So the ratio a:b is 3:5

Answer:

n + 4

Or 20

Step-by-step explanation:

Depends on how you see it the answer could be n´+4 since that´s how the function is working, and almost all of the time the independent clauses are actually independent and do not follow any progression.

But if there is a progression in the input, we can see that they are adding up uneven numbers to the input, so first we added 3, then we added 5, and last we should add 7: so the input would be 7+9= 16, the input in the forth spot should be 17, and the output should be 20.

Degree and number of terms in each polynomial expression are as follow,

" Expression is defined as the relation between two or more variables or numbers are represented using mathematical operation."

According to the question,

Given polynomial expression,

Simplify the given expression we get,

[tex]4x + 6x^{3} -10x^{2}\\\\= 6x^{3} -10x^{2} +4x[/tex]

Degree of the polynomial expression : [tex]3[/tex]

Number of terms : [tex]3[/tex]

2. [tex](-3x^{4} +5x^{3} -12) + (7x^{3} -x^{5} +6)[/tex]

Simplify the given expression we get,

[tex]-3x^{4} +12x^{3} -6 -x^{5} \\\\= -x^{5} -3x^{4} +12x^{3} -6[/tex]

Degree of the polynomial expression : [tex]5[/tex]

Number of terms : [tex]4[/tex]

3. [tex](3x^{2} -3)(3x^{2} +3)[/tex]

Simplify the given expression we get,

[tex]9x^{4} -9[/tex]

Degree of the polynomial expression : [tex]4[/tex]

Number of terms : [tex]2[/tex]

Hence, degree and number of terms in each polynomial expression are as follow,

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Answer:

300

Step-by-step explanation:

Answer:

Step-by-step explanation:

No time because the wall is already built

The range of the function (eˣ)/(eˣ+c) is the closed interval [0,1].

The range of the function f(x) = (eˣ)/(eˣ+c) can be determined by analyzing the behavior of the function as x approaches positive and negative infinity. When x tends to positive infinity, the term eˣ grows much faster than c, so the denominator approaches infinity. Therefore, the function approaches 1 as x tends to infinity.

Similarly, when x tends to negative infinity, the term eˣ approaches 0 much faster than c, so the denominator becomes negligible. As a result, the function approaches 0 when x tends to negative infinity.

Since the function approaches 0 at negative infinity and approaches 1 at positive infinity, the range of the function is the closed interval [0,1].

Answer:

The answer is C

Step-by-step explanation:

Boy likes mayonnaise:  

12

(12 + 18 + 5)

=  

12 /35

= 0.3429 ≈ 34%

Girl likes mayonnaise:  

14

(14 + 13 + 15)

=  

14 /42

= 0.3333 ≈ 33%

thus,

boys (34 of 100) > girls (33 of 100)