Intervals, extrema and behaviot

Intervals, Extrema And Behaviot

Answers

Answer 1

9514 1404 393

Answer:

  (a)  1

Step-by-step explanation:

For large variable magnitude, the value of a rational function approaches the ratio of the highest-degree terms of the numerator and denominator*. Here, that is ...

  x/x = 1

f(x) approaches 1 as x approaches infinity.

__

* The function approaches the line or curve defined by the quotient. (The remainder is ignored in this case.) Here, f(x) = 1 + 3/(x-3), so the quotient is the constant 1.


Related Questions

Find the least common multiple (LCM) of 9 and 11. A. 10 B. 18 C. 99 D. 110

Answers

Answer:

99

Step-by-step explanation:

since there is no common number which divides both 9 and 11 so just multiply them.

The answer to your question is 99

NEED HELP!

A water tank at a filtration plant is built in the shape of an inverted cone with height 5.2
m and diameter 5 m at the top. Water is being pumped into the tank at a rate of 1.2 m3
/min.
Find the rate at which the water level is rising when there is 8π m3
of water

Answers

Answer:

The rate of change is  

6.2  ×  [tex]10^{-3}[/tex]   [tex]ms^{-1}[/tex]  =  0.37 [tex]\frac{m}{min}[/tex]  

Answer ^ ^ ^ ^ ^ ^ ^

Explanation: it broke itself

On the image, if you scroll, there are questions and answers. I just need one example on how to get to those answers. I’m not sure how to do these types of problems. If you can help I’d appreciate it! Thank you!!

Answers

Answer:

Step-by-step explanation:

#27). 6k² = 48

k = √8 = 2√2

x = [tex]\frac{8}{2\sqrt{2} }[/tex] = 2√2 cm

y = [tex]\frac{12}{2\sqrt{2} }[/tex] = 3√2 cm

#29). 16k² = 48

k = √3

x = [tex]\frac{8}{\sqrt{3} }[/tex] = [tex]\frac{8\sqrt{3} }{3}[/tex] cm

y = [tex]\frac{12}{\sqrt{3} }[/tex] = 4√3 cm

Provide the remaining principal parts for the verb below.
Present: shake
Present Participle:
Past:
Past Participle:

Answers

Present participle: Shaking
Past : Shook
Past Participle: Shaken

Find the equation of a circle whose endpoints of the diameter are (15, - 3) and (7,3). The equation of the circle is (Simplify your answer. Type your answer in standard form.)​

Answers

Answer:

(x - 11)² + y² = 25

Step-by-step explanation:

First find the center

O = ( (15 +7 / 2), (-3 + 3)/2 )

O = (11, 0)

Then find the radius squared

use the distance formula from the center to either end point of the diameter

r² = (15 - 11)² + (-3 - 0)²

r² = 16 + 9

r² = 25

Formula for circle

(x - h)² + (y - k)² = r²

(h, k) is the center = (11, 0)

The equation is

(x - 11)² + y² = 25

-9x2 + 13x – 1=0

I need 3 answers, pls help me:)

Answers

The answer to this question is x = 13/9 = 1.444

\text{Given: } \cos\theta=\frac{24}{25}
Given: cosθ=
25
24


\text{Find: }\sin2\theta
Find: sin2θ

Answers

Answer:

that my friend is a code in java or some other language.

Step-by-step explanation:

it is just a code

2a = 8
4b = 0
5c = 35
x/2 = 8

Answers

A=4
B=0
C=7
X=16
This is what I think
a=8/2
a=4

b=0/4
b=0

C=35/5
c=

LCM is 2
Therefore 2x=4
Then x=2

Does anyone know he answers for 2 and 3? Need full work and explanations

Answers

Answer:

this is the answer of 2 and

Find the height and slant height of the cone. Round your answers to the nearest whole number.

Answers

Answer:

Height = 4 cm and slant height = 5 cm

Step-by-step explanation:

Given that,

The surface area of the cone, A = 75.4 cm²

Radius, r = 3 cm

The surface area of the cone is given by the formula as follows :

[tex]A=\pi r^2+\pi rl[/tex]

Put all the values,

[tex]75.4=3.14\times 3^2+3.14\times 3\times l\\\\75.4=28.26+9.42l\\\\75.4-28.26=9.42l\\\\47.14=9.42l\\\\l=\dfrac{47.14}{9.42}\\\\l=5\ cm[/tex]

Also,

[tex]l^2=r^2+h^2\\\\h=\sqrt{l^2-r^2}\\\\h=\sqrt{5^2-3^2}\\\\h=4\ cm[/tex]

Hence, the height of the cone is 4 cm and the slant height is 5 cm.

Background information:
Veteran Betterment has a set of blueprints which show the complete building design layout. The blueprint shows a scale factor of 0.5 inches to 7.5 feet. Please use this scale factor and the information on the blueprint to answer the following questions about the dimensions of the real building.

Look at the picture attached:
What will the height of the building in the real world be?

What will the area of the roof in the real world be?

Answers

18 inches • 15 feet/inch = 270 feet tall
4 inch • 6.5 inches = 30 feet • 48.75 feet = 1,462.5 sq ft

Write an inequality for the sentence: The maximum height his 45 feet.

Answers

Answer:

h ≤ 45

Step-by-step explanation:

The maximum height is 45 feets

Let the height of the object = h

Hence, the sentence means that the height, h of the object cannot be beyond 45 feets ;

This means the height can be any number of feets less than or equal to 45 feets

Hence, h ≤ 45

How often are you required to make payments on an auto loan?
Option A Once a week.
Option B Every other week.
Option C Once a month.
Option D Every time you get a paycheck.

Answers

Answer:

C is the answer

Step-by-step explanation:

hope this helps

Kylie worked as an official for 45 soccer games last year. She made a graph of the number of games she worked during the first 6 months during the first 6 months of the year. How many more games did Kylie work during the first six months as shown on the graph than she did during the rest of the year?

Answers

Answer:

11 More Games.

(I did the quiz too)

Answer:

11

Step-by-step explanation:

I did this on my map test, it's right

cos 210 is equal to
-cos 30
cos 30
-sin 30
sin 30

Answers

-cos 30
exploration :

[tex]\huge{ \mathcal{ \underline{ Answer }}}࿐[/tex]

Cos 210° is equal to [tex]-Cos(30°)[/tex]

[tex] \#TeeNForeveR[/tex]

In ΔWXY, the measure of ∠Y=90°, WY = 5, XW = 13, and YX = 12. What ratio represents the cosine of ∠X?

Answers

Answer:

The ratio of cosine X = 12 : 13

Step-by-step explanation:

Given;

∠Y=90°

length WY = 5

length XW = 13

length YX = 12

Check the image uploaded for the solution.

hypotenuse is

5. A parallelogram has vertices D(-1,1) E
(2,4) F(5. 1 )G(2,-2) Which description best describes the figure? A rectangle B trapezoid, C. Square, D. Kite​

Answers

Answer:

C

Step-by-step explanation:

Can side lengths 3, 4, and 5 form a right triangle

Answers

Answer:

Yes it can! Plz the Brainliest!

Step-by-step explanation:

A right triangle is defined as a triangle with sides in the ratio 3:4:5. Pythagorean Doubles are triangles whose sides have had a ratio of the whole numbers as their sides. Even if the sides are multiplied by any number, the result is still a right triangle with sides in the ratio 3:4:5. For instance, 6, 8, and 10 are all numbers.

Help me out I’m not sure what the answer is

Answers

The area (A) of a trapezoid is calculated as follows:

A = 1/2 * sum of the parallel sides * height

In this case:

A = 1/2 * (3.4 + 1.1) * 2 = 4.5 cm^2.


17. The present age of a father and his son is 50yrs and 20yrs respectively. How many years ago
the product of their ages was 451. ​

Answers

Answer:

9 yrs ago

Step-by-step explanation:

(50-x)(20-x) = 451

x^2-70x + 1000 = 451

x^2-70x + 549 = 0

(x-9)(x-61) = 0

x = 9 (if it was 61 yrs ago, the father and son both wouldnt be a live)

Find the measure of angle x in the figure below:
BRAINLIEST PLEASE HELP SHOW WORK AN WILL MAKE BRAINLY

Answers

Answer:

See attached photo!

Step-by-step explanation:

Which number has more than two factors?

A. 29
B. 19
C. 23
D. 25

Pls Answer Fast

Answers

Answer:

Step-by-step explanation:

The answer is 25 (D)

The factors of 25 are 1, 5, and 25, thus being more than two factors.

Hopes this helped!

I’m pretty sure it’s 25

3.) A 50ft by 40ft one-story house sits in the middle of a
lot that is 80 ft by 60ft. If the edge of the house to the
edge of the lot is covered in grass, how many square feet
of grass will the owner mow?

Answers

Answer:

2800 ft^2

Step-by-step explanation:

A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a standard deviation of 86 minutes with a mean life of 505 minutes. Of the claim is true, in a sample of 120 batteries, what is the probability that the mean battery life would be greater than 523.8 minutes

Answers

Answer:

0.0082 = 0.82% probability that the mean battery life would be greater than 523.8 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Standard deviation of 86 minutes with a mean life of 505 minutes.

This means that [tex]\sigma = 86, \mu = 505[/tex]

Sample of 120:

This means that [tex]n = 120, s = \frac{86}{\sqrt{120}}[/tex]

What is the probability that the mean battery life would be greater than 523.8 minutes?

This is 1 subtracted by the p-value of Z when X = 523.8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{523.8 - 505}{\frac{86}{\sqrt{120}}}[/tex]

[tex]Z = 2.39[/tex]

[tex]Z = 2.39[/tex] has a p-value of 0.9918.

1 - 0.9918 = 0.0082

0.0082 = 0.82% probability that the mean battery life would be greater than 523.8 minutes

How did u get 4/3. Because I’m confused

Answers

What’s the original question and I can help!


Solve for x.
2x^2 + 65 = 227

Answers

Answer:

x = ±9

Step-by-step explanation:

Isolate 2x^2 by subtracting 65 from both sides:

            2x^2 = 162

Then x^2 = 81, and x = ±9

can somebody help me on this problem please?

Answers

Answer:

c

Step-by-step explanation:

Answer:

B. 1

Step-by-step explanation:

[tex]\lim_{x \to -3} \sqrt{x^2 - 8}[/tex]

Here we have

[tex]\lim_{x \to -3} f(x)=f(x)[/tex]

Therefore

[tex]\lim_{x \to -3} \sqrt{x^2 - 8} = \lim_{x \to -3} \sqrt{(-3)^2 - 8} = \lim_{x \to -3} \sqrt{9 - 8} = \lim_{x \to -3} \sqrt{1}[/tex]

[tex]\lim_{x \to -3} \sqrt{1}= \lim_{x \to -3} 1 = 1[/tex]

A circular path 4 feet wide has an inner diameter of 250 feet. How much farther is it around the outer edge of the path than around the inner edge? Round to nearest hundredth. Use 3.14 for π.


The outer edge of the path is ??? feet farther around than the inner edge.

Answers

Answer:

25.13

Step-by-step explanation:

the inner circle is 1570.8 and the outer is 1595.93

Hope this helps! :)

Have a great weekend!! :)

Answer:

50.24 ft

Step-by-step explanation:

diameter = 250  -----  radius = 125  (radius of the smaller circle)

125+4 = 129  ( radius of the bigger circle)

129-125 = 4

4² x pi   =  16x 3.14  = 50.24

In the isosceles trapezoid ABCD, find m

Answers

Answer:

answer C

Step-by-step explanation:

Isosceles trapezoids have the property that opposite angles are supplementary.

Here are some needed properties of isosceles trapezoids.

<C and <D are supplementary

<A = <D

<B = <C

<D + <B = 180

<D = 110                         Given

110 + <B = 180               Subtract 110 from both sides..

<B = 70

C

What is the completely factored form of the following expression
6b2+5b-4

Answers

The answer is (2b+1)(3b-4)
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