MATHEMATICS COLLEGE

Find the limit, if it exists. (if an answer does not exist, enter dne.) lim x → ∞ x4 x8 + 2

Answers

Answer 1

Answer:

lim x → ∞ x^4 x^8 + 2

Combine exponents:

lim x → ∞ x^(4 +8) + 2

lim x → ∞ x^12 + 2

The limit at infinity of a polynomial, when the leading coefficient is positive is infinity.

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One real world example of when we use rates and unit rates is _________.
In a survey of 269 college students, it is found that69 like brussels sprouts,90 like broccoli,59 like cauliflower,28 like both Brussels sprouts and broccoli,20 like both Brussels sprouts and cauliflower,24 like both broccoli and cauliflower, and10 of the students like all three vegetables.a) How many of the 269 college students do not like any of these three vegetables?b) How many like broccoli only?c) How many like broccoli AND cauliflower but not Brussels sprouts?d) How many like neither Brussels sprouts nor cauliflower?
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College Algebra Half Life ProblemRecently, while digging in Chaco Canyon, New Mexico, archaeologists found corn pollen that was 4000 years old. This was evidence that Native Americans had been cultivating crops in the Southwest centuries earlier than scientists had thought.What percent of the carbon-14 had been lost from the pollen?(half-life of carbon-14 = 5730)
One number is 10 more than twice another. Their sum is 1. Find the numbers

Smplify the following algebraic expression: 6(2y + 8) - 2(3y - 2)

Answers

Answer:

6y +52

Step-by-step explanation:

6(2y + 8) - 2(3y - 2)

Distribute

12y + 48 - 6y +4

Combine like terms

6y +52

Which number line represents the solutions to |x + 4| = 2?

Answers

Answer:

The solution is represented by the first number line, wich has the solutions x=-6 and x=-2.

Step-by-step explanation:

We have an absolute value function for the equation. This means that we should have two differents solution in the real number line. As the equation is

$|x+4|=2$

when we clear out the absolute value, we will have two possible solutions:

$x+4=2$

and

$-(x+4)=2$

now we clear x from both equations

$x+4=2 \Leftrightarrow x=2-4 \Leftrightarrow x=-2$

$-(x+4)=2 \Leftrightarrow -x-4=2 \Leftrightarrow -2-4=x \Leftrightarrow x=-6$

Then, we have that x=-2 and x=-4 are the solutions for the equation, and therefore the number line that represents the solution is the first one, where the points -6 and -2 are highlighted.

the first number line

given | x + 4 | = 2

removing the bars from the absolute value gives

x + 4 = 2 or x + 4 = - 2

x = 2 - 4 or x = - 2 - 4

x = - 2 and x = - 6 ← solutions

these are indicated on the number line by a solid circle at - 2, - 6

An artist creates a cone shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a base with a circumference of 21.352 feet, what is the volume of the sculpture? Use 3.14 for Pi

Answers

Answer:

Volume, $V=96.79\ \text{feet}^3$

Step-by-step explanation:

An artist creates a cone shaped sculpture for an art exhibit.

Height of sculpture is 8 feets

The circumference of base of the cone is 21.352 feet.

The base of a con is circular shaped. So,

$2\pi r= 21.352$

r is radius of cone

$r= (21.352)/(2* 3.14) \n\nr=3.4\ ft$

The volume of cone shaped sculpture is given by :

$V=(1)/(3)\pi r^2 h\n\nV=(1)/(3)* 3.14* (3.4)^2 * 8\n\nV=96.79\ \text{feet}^3$

So, the volume of the sculpture is $96.79\ \text{feet}^3$ .

Calculate: (Round two decimal places for final answer)

3gallons (gal) =_____liters (L)

Answers

Answer:

3gallons (gal) = 11.35 liters

Step-by-step explanation:

This can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

Each gallon has 3.78L. So

1 gallon - 3.78L

3 gallons - xL

$x = 3*3.78$

$x = 11.35$ liters

3gallons (gal) = 11.35 liters

the table below shows different possibilites for the number of games a team would need to win to maintain a certain percentage of wins

Answers

Answer:

here hope this helps please mark brainly

Step-by-step explanation:

"write a program that takes as input an arithmetic expression. the program outputs whether the expression contains matching grouping symbols. for example, the arithmetic expressions {25 + (3 – 6) * 8} and 7 + 8 * 2 contains matching grouping symbols. however, the expression 5+{(13+7)/8-2*9 does not contain matching grouping symbols."

Answers

theprogram outputs whether the expression contains matching groupingsymbols. for example, the arithmetic expressions {25 + (3 – 6) * 8} and 7+ 8 * 2 contains matching grouping symbols. however, the expression5+{(13+7)/8-2*9 does not contain matching grouping symbols.

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