All categories

2 years ago

Select the correct answer. what is the value of this limit? a. b. c. d. e.

1 answer:

7 0

The value of the limit expression $\lim_{x \to 3} \sqrt{x^2 + 7} + 5$ is 9, and it means that the function approaches 9, as x approaches 3.

<h3>How to evaluate the limit?</h3>

The limit expression is given as:

$\lim_{x \to 3} \sqrt{x^2 + 7} + 5$

This means that we determine the value of the function as x approaches 3.

So, we have:

Limit = √(3^2 + 7) + 5

Evaluate the square

Limit = √(9 + 7) + 5

Evaluate the sum

Limit = √16 + 5

Evaluate the square root

Limit = 4 + 5

Evaluate the sum

Limit = 9

Hence, the value of the limit $\lim_{x \to 3} \sqrt{x^2 + 7} + 5$ is 9

You might be interested in

A child riding a bicycle at 15 m/s accelerates at 3. 0 m/s/s for 4. 0 s. What is the child's speed at the end of this 4. 0 s int

mamaluj [8]

Answer:

The final speed of bicycle would be 27 m/s².

Step-by-step explanation:

Given :

$\small\red\bull$ Initial velocity (u) = 15 m/s
$\small\red\bull$ Acceleration (a) = 3.0 m/s²
$\small\red\bull$ Time = 4 seconds

To Find :

$\small\red\bull$ Final velocity (v)

Using Formula :

$\longrightarrow{\pmb{\sf{v = u + at}}}$

$\small\blue\star$ v = final velocity
$\small\blue\star$ u = initial velocity
$\small\blue\star$ a = acceleration
$\small\blue\star$ t = time taken

Solution :

Substituting the values in the formula to find the final velocity :

$\longrightarrow{\sf{v = u + at}}$

$\longrightarrow{\sf{v = 15 + (3.0 \times 4)}}$

$\longrightarrow{\sf{v = 15 + (3 \times 4)}}$

$\longrightarrow{\sf{v = 15 +(12)}}$

$\longrightarrow{\sf{v = 15 +12}}$

$\longrightarrow{\sf{v = 27 \: {m/s}^{2}}}$

$\star{\underline{\boxed{\red{\sf{v = 27 \: {m/s}^{2}}}}}}$

Hence, the final speed of bicycle would be 27 m/s².

$\rule{300}{1.5}$

3 0

2 years ago

Can someone please tell me whats the Superman tntnnnnn cut called.I've been searching for it for hours but don't know what is ca

lara31 [8.8K]

Answer:

Well u need to think hard next time

Explanation:

Had Richard Donner completed the Superman sequel back in 1979, it very likely would have been a better film than what Lester ultimately made but 2006's The Donner Cut is simply the best one could do 26 years later. It's also a bit jarring to see test footage in the middle of a movie.

Computer programmer Gus Gorman (Richard Pryor) is hired by financial tycoon Ross Webster (Robert Vaughn) to seize control of a weather satellite and annihilate Colombia's coffee crop. When Superman (Christopher Reeve) manages to thwart the plan, Webster commands Gorman to use the satellite to locate kryptonite, the Man of Steel's mortal weakness. But a missing unknown element in the kryptonite replaced by Gorman with tar causes an unintended side effect when presented to Superman.

3 0

3 years ago

A 50. 0-g sample of liquid water at 25. 0 °c is mixed with 23. 0 g of water at 79. 0 °c. The final temperature of the water is _

ioda

Answer:

0° mass

Explanation:

hope this helps.

8 0

2 years ago

During a solar eclipse, the moon is blocked by Earth's shadow. True or false

Deffense [45]

Answer:

I think it is true

Explanation:

the moon goes over the sun and so it creates a solar eclipse

8 0

2 years ago

Calculate the mole fraction of thiophene in the solution.

mestny [16]

What is the fractions here? can you please insert a image.

3 0

2 years ago