can't quite figure out the limit problem ​

Can't Quite Figure Out The Limit Problem

Answers

Answer 1

Use the squeeze theorem; if

1 - x ²/4 ≤ u(x) ≤ 1 + x ²/2,

then taking the limit on each part as x approaches 0 gives

1 ≤ lim [x → 0] u(x) ≤ 1

and so the limit of u(x) as x → 0 is simply 1.


Related Questions

i need help with everything please if you help you are a legend please.

Answers

2. Closer to 0. Because it is always getting smaller. The smaller it gets, the closer it get to 0.

3.

a. Closest to 1.

b. Closest to 0.

c. (1/12)

4.

a. Closest to 1.

b. Closest to (1/2)

c. (14/16)-(10/16)=(4/16)

17 × 5/8 mixed solution

Answers

Answer:

10 5/8

Step-by-step explanation:

17/1 x 5/8. Multiply numerators together and denominators you will get 85/8. Then you convert the improper fraction.

Answer:

10 5/8

Step-by-step explanation:

17 × 5/8  = 85/8

Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

85 ÷ 8 = 10 remainder 5

85/8 = 10 5/8

I just need help cause if I don’t I don’t know what imma do

Answers

Answer:

[tex]P(32) = \frac{1}{90}[/tex]

[tex]P(Odd) = \frac{1}{2}[/tex]

[tex]P(Multiples\ 5) = \frac{1}{5}[/tex]

Step-by-step explanation:

Given

Sample Space = 10 to 99

First, we calculate the sample size (n)

[tex]n = 99 - 10 + 1[/tex]

[tex]n = 90[/tex]

Solving (a): P(32)

In 10 to 99, there is only 1 32.

So,

[tex]P(32) = \frac{n(32)}{n}[/tex]

[tex]P(32) = \frac{1}{90}[/tex]

Solving (b): P(Odd)

There are 45 odd numbers between 10 and 99

i.e.

[tex]n(Odd) = 45[/tex]

So:

[tex]P(Odd) = \frac{n(Odd)}{n}[/tex]

[tex]P(Odd) = \frac{45}{90}[/tex]

[tex]P(Odd) = \frac{1}{2}[/tex]

Solving (c): P(Multiple of 5)

There are 18 multiples of 5 between 10 and 99

i.e

[tex]P(Multiples\ 5) = \frac{18}{90}[/tex]

[tex]P(Multiples\ 5) = \frac{1}{5}[/tex]

calculate the GPA of a student with the following grades: B (3 hours), D (8 hours), C (18 hours). Note that an A is equivalent to 4.0, a B is equivalent to a 3.0, a C is equivalent to a 2.0, a D is equivalent to a 1.0, and an F is equivalent to a 0. Round your answer to two decimal places.

Answers

Answer:

The GPA of the student is 1.83.

Step-by-step explanation:

We use a weighted average to solve this question.

We have the following grades:

B, which is equivalent to 3, with weight 3.

D, which is equivalent to 1, with weight 8.

C, which is equivalent to 2, with weight 18.

So

[tex]M = \frac{3*3 + 1*8 + 2*18}{3 + 8 + 18} = \frac{53}{29} = 1.83[/tex]

The GPA of the student is 1.83.

ill so you the picture of it​

Answers

Answer:

Of WhaT?

Thanks for the free points btw

A certain town never has two sunny days in a row. Each day is classified as being either sunny, cloudy (but dry), or rainy. If it is sunny one day, then it is equally likely to be either cloudy or rainy the next day. If it is rainy or cloudy one day, then there is 60% of chance that it will be the same the next day, and if it changes then it is equally likely to be either of the other two possibilities. In the long run, how frequent are we observing a day for which it is rainy and the next two days are also rainy

Answers

Answer:

In the long run if one day is rainy there is frequency of 2/5 that other two days will also be rainy.

Step-by-step explanation:

A matrix is formed to classify the weather conditions. It is given that if one day is sunny then there is likely chance that the next day will be cloudy, but if one day is rainy then there is 60% chance that next day will be same. To identify the possibility of next two days we create probability matrix;

Probability (P) = [tex]\left[\begin{array}{ccc}0&\frac{1}{2} &\frac{1}{2} \\\frac{1}{4} &\frac{1}{2} &\frac{1}{4} \\\frac{1}{4} &\frac{1}{4} &\frac{1}{2} \end{array}\right][/tex]

After solving for probability we get a fraction of 2/5

heyy i need help on me hw​

Answers

Answer:

the answer is b

Step-by-step explanation:

brainliest pleasee?

Miguel ran 15 yards. What distance is that in feet? HELPPPP

Answers

Answer: 45 feet 1 yard= 3 feet so 3 feet times 15 is 45 feet

Step-by-step explanation:

Answer:

45 ft

Step-by-step explanation:

1 yd = 3 ft

15 yd = 3(15) ft

15 yd = 45 ft

What is the answer?
A)44
B)42
C)45
D)48

Answers

Answer:

44

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

because you take 3 pulse 2

Select all the expressions that could represent the volume of a box, which is a third degree polynomial in variables x and y.

A. 3 x y − 3 x y^2
B 2y-xy^3+7
C.3x^3y^2-3x^2y+10y^2-10y
D. 3x^2y+5xy
E. 3y^3+3x^3y^4

Answers

Answer:

A and D

Step-by-step explanation:

Third degree polynomials refers to polynomials that has 3 as the greatest power of the variable.

A. 3 x y − 3 x y^2

Degree = 1 + 2 = 3

This option is correct

B 2y - xy^3 + 7

Degree = 1 + 3 = 4

This option is wrong

C. 3x^3y^2 -3x^2y + 10y^2 - 10y

Degree = 3 + 2 = 5

This option is wrong

D. 3x^2y+5xy

Degree = 2 + 1 = 3

This option is correct

E. 3y^3 + 3x^3 y^4

Degree = 3 + 4 = 7

This option is wrong

Regina read his novel three nights in a row. Each night, he read for 3/4 of an hour. How many hours did regina read his novel altogether?​

Answers

Answer:

Regina read for 2 1/4 hours or 2 hours and 15 minutes

Step-by-step explanation:

He read for 2 hours and 15 minutes

Answer these correctly I’ll give brainalist + 10 points

Answers

first one is choice 1 second one is choice 3

PLEASE HELP
what is the slope of the line?​

Answers

Answer I think = 4/5x + 1.5
Slope is 4 over 5

Pierre found a new store where he hopes to save
money on his supplies. He bought 4 brushes and 7
tubes of paint for $32. He has another order for 6
brushes and 8 tubes of paint that will cost $43.
What is the cost of one brush? What is the cost of
one tube of paint?

Answers

Your first equation is 4x + 7y= 32, the x’s representing the brushes and the y’s the tubes of paint. Our second equation is 6x+8y=43. What I did is I multiplied the first equation by 1.5 so that it turns into 6x+10.5y=48. Then I subtracted the second equation from the first, canceling out the x’s and leaving us with 2.5y=5. Then divided and got y=2. We then go back to any of the original equations and plug it in to get the x’s.
6x+8(2)=43. We get 6x+16=43. We subtract and are left with 6x=27 and then x=4.5. Then plug both of them in to a different equation to double check. You could also use substitution by isolating one of the variables in one equation and then plugging it in to the other one.

Simplify the expression: 5(-5 + 2y) =

Answers

The answer is-25+ 10y

Can someone write down the answers pls!!!!!!!!!!

Answers

Step-by-step explanation:

6b x>=1

6c y>7

7a x>3

7b -2<=2x<6

-1<=x<3

answer:-1,0,1,2,3

What’s the answer to this

Answers

The answer is A I think

please help i'm really stuck

Answers

how will apply the lesson i have learned in real life scenari

The Gable Construction Corporation has placed bids for installing electronic message boards on two different highways.
Because of competition from other companies, Gable Construction Corporation officials estimate that the probability that
they will be awarded the Macon Expressway contract is 0.65 and the probability that they will be awarded the Seaview
Expressway contract is 0.43. Furthermore, the probability that they will be awarded both contracts is 0.22. What is the
probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway

Answers

Answer:

0.64 = 64% probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway

Step-by-step explanation:

We solve this question using these events as Venn sets.

I am going to say that:

Event A: Awarded the Macon Expressway.

Event B: Awarded the Seaview Expressway.

Probability that they will be awarded the Macon Expressway contract is 0.65

This means that [tex]P(A) = 0.65[/tex]

The probability that they will be awarded the Seaview Expressway contract is 0.43.

This means that [tex]P(B) = 0.43[/tex]

Furthermore, the probability that they will be awarded both contracts is 0.22.

This means that [tex]P(A \cap B) = 0.22[/tex]

What is the

Probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway?

Only A:

[tex]P(A) - P(A \cap B) = 0.65 - 0.22 = 0.43[/tex]

Only B:

[tex]P(B) - P(A \cap B) = 0.43 - 0.22 = 0.21[/tex]

Either

0.43 + 0.21 = 0.64

0.64 = 64% probability that they will be awarded the contract for either the Macon Expressway or the Seaview Expressway

If you buy 4 turkey subs that in total costs 26 dollars how much would 5 turkey subs cost.

Answers

Answer:

33/32.5

Step-by-step explanation:

26 divided by 4 equals 6.5

then 6.5 times 5 equals 32.5

2 1/3 x 3 5/6 please answer

Answers

Answer:

8 17/18

Step-by-step explanation:

I used an online calculator (calculator soup)

Answer:

8 17/18

Step-by-step explanation:

7/3 * 23/6

7*23

3*6

161/18

8 17/18

What is the equation of the line in the slope intercept form?

Answers

Answer:

y = mx+b is the equation for slope-intercept form

Step-by-step explanation:

m=slope

x=independent variable

y= y-intercept

Answer:

y=-2x

Step-by-step explanation:

12cm and 8 cm find the ratio and reduce them in term of lowest term​

Answers

Answer:

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Step-by-step explanation:

100 - 50 + 4

HELP PLS PLS PLSSSSS

Answers

Answer:

54

Step-by-step explanation:

100-50+4=50+4

=54

.....

Helpppppppppppppppppppppppppppppppp

Answers

Answer:

2/9 in the simplist form

Step-by-step explanation:

you multiply both the fractions for the area

then simplify

There are 20 girls
and 12 boys in a class.
What would be the probability of
randomly selecting a girl? (Decimals please)

Answers

Answer:

0.625

Step-by-step explanation:

20+12=32 . ( amount of total pupils)

20/32=0.625  

Probability is usually a percentage

The profit for a company this year was $100,000. Each year the profit increases at a rate of 1.2% per
year. Which function shows the company's profit as a function of time in years?
a. f(t) = 100,000 0.012^t
b. f(t) = 100,000(1 + 1.2)^t
c. f(t) = 100,000(1 + 0.012)^t
d. f(t) = 100,000 - 1.2^t

Answers

Given:

Initial profit = $100,000

Increasing rate of profit = 1.2%

To find:

The function that shows the company's profit as a function of time in years.

Solution:

The exponential growth model is defined as:

[tex]f(t)=a(1+r)^t[/tex]

Where, a is the initial value, b is the growth rate and t is the time period.

Putting a=100,000 and r=0.012, we get

[tex]f(t)=100,000(1+0.012)^t[/tex]

Where, t is the number of years.

Therefore, the correct option is c.

3.663 rounded to the nearest tenth of an ounce

Answers

Answer:

the answere is 3.7

Step-by-step explanation:

−2 2/21 +(−0.25÷(− 1/4 )−1.5÷(− 3/16 ))÷(−4 1/11 )
pls answer this is a hundred point question

Answers

The answer is -4.29523809524 . (The second period is NOT another point. It’s just marking the end of a sentence. Yes, I’m a grammar & math freak)

Answer:

-4.29523809524

Step-by-step explanation:

6+x=23 what is x in the equation

Answers

the correct answer is x=17
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