What is the end behavior of h (x) = StartFraction negative 5 x Superscript 4 Baseline + 13 x Over x cubed EndFraction As x approaches infinity, h (x) approaches 0 As x approaches infinity, h (x) approaches infinity As x approaches infinity, h (x) approaches negative 5 As x approaches infinity, h (x) approaches negative infinity
ANSWER: D
Answers
Answer:
The answer is D on edge
Step-by-step explanation:
you already knew that apparently :)
The end behavior of [tex]\lim_{x \to \infty} \frac{-5x^{4} +13x}{x^{3} }[/tex] is as x tends to ∞, h(x) is -∞.
What is limit of functions?
A function may approach two different limits. One where the variable approaches its limit through values larger than the limit and the other where the variable approaches its limit through values smaller than the limit. In such a case, the limit is not defined but the right and left-hand limit exist. The right-hand limit of a function is the value of the function approaches when the variable approaches its limit from the right.
Given Limit function
[tex]\lim_{x \to \infty} \frac{-5x^{4} +13x}{x^{3} }[/tex]
= [tex]\lim_{x \to \infty} \frac{x^{4} (-5+\frac{13}{x^{3} }) }{x^{3} }[/tex]
= [tex]\lim_{x\to \infty} x(-5+\frac{13}{x^{3} } )[/tex]
= [tex]\lim_{x \to \infty} -5x+\frac{13}{x^{2} }[/tex]
= - ∞ + 0
= - ∞
Thus, the end behavior of [tex]\lim_{x \to \infty} \frac{-5x^{4} +13x}{x^{3} }[/tex] is as x tends to ∞, h(x) is -∞.
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Related Questions
What is the area of this composite figure?
A) 130 in2
B) 280 in2
C) 436 in2
D) 616 in2
Answers
Answer:
See explanation. I attached a photo to help visualize and make it easier to understand, but tell me if handwriting was fine :)
Also, C) 436 in² is correct :)
Step-by-step explanation:
the answer is C
Step-by-step explanation:
if we take the 15 from 28
13 will be left
so 13×22=286
and 15×5=75
15×5=75
150+286=436
hopefully its helpful
use the double-angle formulas for sine and cosine to verify these identities:
tan(2theta) = 2tan(theta) / 1 - tan^2 (theta)
Answers
sin
(
2
θ
)
=
2
(
3
5
)
(
−
4
5
)
=
−
24
25
Write the double-angle formula for cosine.
\displaystyle \cos \left(2\theta \right)={\cos }^{2}\theta -{\sin }^{2}\thetacos(2θ)=cos
2
θ−sin
2
θ
Again, substitute the values of the sine and cosine into the equation, and simplify.
)Answer:
In the previous section, we used addition and subtraction formulas for trigonometric functions. Now, we take another look at those same formulas. The double-angle formulas are a special case of the sum formulas, where \displaystyle \alpha =\betaα=β. Deriving the double-angle formula for sine begins with the sum formula,
\displaystyle \sin \left(\alpha +\beta \right)=\sin \alpha \cos \beta +\cos \alpha \sin \betasin(α+β)=sinαcosβ+cosαsinβ
If we let \displaystyle \alpha =\beta =\thetaα=β=θ, then we have
Deriving the double-angle for cosine gives us three options. First, starting from the sum formula, \displaystyle \cos \left(\alpha +\beta \right)=\cos \alpha \cos \beta -\sin \alpha \sin \betacos(α+β)=cosαcosβ−sinαsinβ, and letting \displaystyle \alpha =\beta =\thetaα=β=θ, we have
Using the Pythagorean properties, we can expand this double-angle formula for cosine and get two more interpretations. The first one is:
Similarly, to derive the double-angle formula for tangent, replacing \displaystyle \alpha =\beta =\thetaα=β=θ in the sum formula gives
\displaystyle \begin{array}{c}\tan \left(\alpha +\beta \right)=\frac{\tan \alpha +\tan \beta }{1-\tan \alpha \tan \beta }\\ \tan \left(\theta +\theta \right)=\frac{\tan \theta +\tan \theta }{1-\tan \theta \tan \theta }\\ \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }\end{array}
tan(α+β)=
1−tanαtanβ
tanα+tanβ
tan(θ+θ)=
1−tanθtanθ
tanθ+tanθ
tan(2θ)=
1−tan
2
θ
2tanθ
A GENERAL NOTE: DOUBLE-ANGLE FORMULAS
The double-angle formulas are summarized as follows:
\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ
\displaystyle \tan \left(2\theta \right)=\frac{2\tan \theta }{1-{\tan }^{2}\theta }tan(2θ)=
1−tan
2
θ
2tanθ
HOW TO: GIVEN THE TANGENT OF AN ANGLE AND THE QUADRANT IN WHICH IT IS LOCATED, USE THE DOUBLE-ANGLE FORMULAS TO FIND THE EXACT VALUE.
Draw a triangle to reflect the given information.
Determine the correct double-angle formula.
Substitute values into the formula based on the triangle.
Simplify.
EXAMPLE 1: USING A DOUBLE-ANGLE FORMULA TO FIND THE EXACT VALUE INVOLVING TANGENT
Given that
and \displaystyle \thetaθ is in quadrant II, find the following:
\displaystyle \sin \left(2\theta \right)sin(2θ)
\displaystyle \cos \left(2\theta \right)cos(2θ)
\displaystyle \tan \left(2\theta \right)tan(2θ)
SOLUTION
If we draw a triangle to reflect the information given, we can find the values needed to solve the problems on the image. We are given \displaystyle \tan \theta =-\frac{3}{4}tanθ=−
4
3
, such that \displaystyle \thetaθ is in quadrant II. The tangent of an angle is equal to the opposite side over the adjacent side, and because \displaystyle \thetaθ is in the second quadrant, the adjacent side is on the x-axis and is negative. Use the Pythagorean Theorem to find the length of the hypotenuse:
Now we can draw a triangle similar to the one shown in Figure 2.
Diagram of a triangle in the x,y-plane. The vertices are at the origin, (-4,0), and (-4,3). The angle at the origin is theta. The angle formed by the side (-4,3) to (-4,0) forms a right angle with the x axis. The hypotenuse across from the right angle is length 5.
Figure 2
Let’s begin by writing the double-angle formula for sine.
\displaystyle \sin \left(2\theta \right)=2\sin \theta \cos \thetasin(2θ)=2sinθcosθ
We see that we to need to find \displaystyle \sin \thetasinθ and \displaystyle \cos \thetacosθ. Based on Figure 2, we see that the hypotenuse equals 5, so \displaystyle \sin \theta =\frac{3}{5}sinθ=
. Substitute these values into the equation, and simplify.
Thus,
Solution
EXAMPLE 2: USING THE DOUBLE-ANGLE FORMULA FOR COSINE WITHOUT EXACT VALUES
Use the double-angle formula for cosine to write \displaystyle \cos \left(6x\right)cos(6x) in terms of \displaystyle \cos \left(3x\right)cos(3x).
SOLUTION
c
Analysis of the Solution
This example illustrates that we can use the double-angle formula without having exact values. It emphasizes that the pattern is what we need to remember and that identities are true for all values in the domain of the trigonometric function.
Using Double-Angle Formulas to Verify Identities
Establishing identities using the double-angle formulas is performed using the same steps we used to derive the sum and difference formulas. Choose the more complicated side of the equation and rewrite it until it matches the other side.
EXAMPLE 3: USING THE DOUBLE-ANGLE FORMULAS TO ESTABLISH AN IDENTITY
Establish the following identity using double-angle formulas:
\displaystyle 1+\sin \left(2\theta \right)={\left(\sin \theta +\cos \theta \right)}^{2}1+sin(2θ)=(sinθ+cosθ)
2
θ
)
Step-by-step explanation:
I need help I am about to fail my senior year if I can’t get all my work done
Answers
b. Sec L= adj/hyp=JL/KL=8/17
c. Tan K= opp/adj= JL/KJ=8/15
If you are having trouble with sin cos and adj. Here’s a little help, remember SOH CAH TOA.
SOH= Sin= opp/hyp
CAH= Cos= adj/hyp
TOA= Tan= opp/adj
And then for csc, sec, and cot,remember that they are the opposite of sin, cos,tan.
csc= opposite of sin= hyp/opp
sec=opposite of cos= hyp/adj
cot= opposite of tan= adj/opp
A sphere has a radius of 9 in, which means its volume is 972π in3. The sphere is dilated by 2⁄3. What is the volume of the new sphere?
Answers
Answer:
08-Oct-2009 — If a spherical balloon has a volume of 972 pi cubic centimeters, what is ... is 4.pi.r^2 (its area remember not volume) as 4/3.pi.r^3=972pi r=9 ... and it is good to know the squares of the next 10 numbers.
Answer:
I have this same question on my math test.
Since the radius is 9, the diameter is 18.
The shape is being dilated by 2/3, so the new radius is 6.
Volume formula: V = 4/3πr^3
So now we plug in the values.
V = 4/3 x π x (6)^3
V = 4/3 x π x 216
V = 288π
If the answers do not have the pi symbol present, then it has been multiplied into the answer.
288 x 3.14 = 904.32
The new volume of the sphere is 904.32 in^3
Marking brainliest please help me
Answers
Answer:
I think B
Step-by-step explanation:
Not sure but seems like so. Hope I helped U :)
12 bars of soap for $8.69
Answers
Can I please get some help on this pretty please
Answers
Answer:
Score with 6 questions wrong :
= 40 - (6×2)
= 40 - 12
= 28
Score with x questions wrong :
= 40 - (x×2)
= 40 - 2x
Anthony can either play 4 hours of video games or read 12 chapters of a book. What is Anthony's opportunity cost of playing one hour of video games?
Answers
Answer:
The opportunity cost of playing an hour of video games is not reading 3 chapters of a book.
Step-by-step explanation:
Given that Anthony can either play 4 hours of video games or read 12 chapters of a book, to determine what is Anthony's opportunity cost of playing one hour of video games, the following calculation must be performed:
4 = 12
1 = X
1 x 12/4 = X
12/4 = X
3 = X
Therefore, the opportunity cost of playing an hour of video games is not reading 3 chapters of a book.
Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 8 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups?
150 minutes
160 minutes
170 minutes
180 minutes
Answers
Answer:
160
Step-by-step explanation:
The point G(-5, -4) is translated 1 unit left. What are the coordinates of the resulting point, G′?
Answers
X- intercept: right/left
Y- intercepy: up/down
Since it is translated 1 unit left, you need to subtract 1 from the x-intercept:
(-5-1,-4)
Solve, and you get
(-6,-4) for your final answer.
The mean weight of female aerobics instructors in a certain city is less than 136 lbs. Express the null and alternative hypotheses in symbolic form for this claim.
Answers
Answer:
Step-by-step explanation:
We are given the claim.
Claim: The mean weight of male aerobics instructors in a certain city is more than 182 lbs.
Population mean = 182 lbs
The null hypothesis will state that the sample mean is less than or equal to the population mean 182 lbs.
The alternate hypothesis will state that mean weight of male aerobics instructors in a certain city is more than 182 lbs.
answer I credits: ChiKesselman solved it
V
Answer:
H0 : μ ≤ 186
H1 : μ > 186
Step-by-step explanation:
The null hypothesis and hypothesis differ in that the null aligns with the claim or value of the population parameter. The alternative hypothesis tries to negate the null hypothesis by trying to displace the claim set by the parameter based on the average or mean value of the sample.
Since the claim Given by the population mean is that mean weight is less Than 186 ; then this will be the null hypothesis and an opposite statement will be declared as the alternative.
(PLEASE HELP! NO SPAM!) On the following triangle, sin〖θ=15/17〗. What is cosθ?
Answers
Answer:
Cos(θ) = 8 / 17
Step-by-step explanation:
Cos = Adjacent / Hypotenuse
Side that is adjacent to θ = 8
hypotenuse of the triangle = 17
Cos(θ) = 8 / 17
Hope this helps!
How do I solve for n and m using special right triangle rules.
Answers
Answer:
Because the triangle is a 45-45-90 triangle, the n and m should be the same lengths. For these types of triangles, the hypotenuse is [tex]x\sqrt{2}[/tex] and the side lengths are x. Because we are given the length of the hypotenuse, we need to find the x-value. The equation should be 6=[tex]x\sqrt{2}[/tex]. Simplify to get x=[tex]3\sqrt{2}[/tex]. So, the length of n and m should both be [tex]3\sqrt{2}[/tex].
A population has a mean of 180 and a standard deviation of 24. A sample of 100 observations will be taken. The probability that the mean from that sample will be between 183 and 186 is _____.
Answers
Answer:
The probability that the mean from that sample will be between 183 and 186 is 0.0994 = 9.94%.
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.
A population has a mean of 180 and a standard deviation of 24.
This means that [tex]\mu = 180, \sigma = 24[/tex]
A sample of 100 observations will be taken.
This means that [tex]n = 100, s = \frac{24}{\sqrt{100}} = 2.4[/tex]
The probability that the mean from that sample will be between 183 and 186 is:
This is the pvalue of Z when X = 186 subtracted by the pvalue of Z when X = 183. So
X = 186
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{186 - 180}{2.4}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
X = 183
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{183 - 180}{2.4}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a pvalue of 0.8944
0.9938 - 0.8944 = 0.0994
The probability that the mean from that sample will be between 183 and 186 is 0.0994 = 9.94%.
Wgat is 5/6 of an hour and 1/3 of an hour and hiw did you get the final answer
Answers
Answer:
5/6 minutes x 60 = 50
1/3 minutes x 60 = 20
I got my answer by multiplying by 60 since there are 60 min in one hour.
Using the keyword 'of" it means to multiply so multiply your two given numbers.
1/3 of an hour is 20 minutes becuase 1/3*60 min= 20 minutes
What’s the answer for this please I need it
Answers
Step-by-step explanation:
each week kyle saves $5.00
... your welcome...
A train can accommodate at most 80 passengers, economy class (x) and firstclass (y) passengers. To avoid making a loss the train must carry at least ten
economy class passengers and at least twenty first class passengers. Due to the
number of complementary items the first-class passengers receive, the number
of first-class passengers should be at most three times the number of economy
class passengers.
First class tickets cost N$5000 while economy class tickets cost N$3000.
i) State/ describe what the variables x and y represent.
ii) State the objective function.
iii) List the constraints.
Answers
Answer:
Step-by-step explanation:
1) (x) is economy class and (y) is first class
2) The objective function is to avoid making a loss in prophet making the train have the avalibility for 10 economy class passengers and at least 20 first class passengers.
3) The constraints are that there are only 10 spots for economy class and at least 20 for first-class passengers.
10. Last year, a state university received 3.560 applications from boys. Of
those applications, 35% were from boys who lived in other states. Part A
How many applications did the university receive from boys who lived in
other states? Show how you found the answer for full credit
Answers
Answer:
1.246
Step-by-step explanation:
First, you divide 3.560 by 100%, which gives you 3.56. Now since you have the number of applications received each, you now multiply 3.56 by 35%, or 0.35, which then gives you 1.246.
1. two lines meet at a point. set up and solve an equation to find the value of x
2. three lines meet. set up and solve an equation to find the value of a. is your answer reasonable explain how you know.
3. two lines meet at a point that is also the endpoint of two rays. set up and solve an equation to find the values of a and b
Answers
Answer: 1) 57 degrees
2) 50 degrees
3) a- 58 degrees, b- 32 degrees
Step-by-step explanation:
78, 52, and the number inbetween = 180
if u find the inbetween number it will be vertically opposite to a
someone plz help and explain how you got an answer! will give brainlest
what is the equation of the line that is parallel to 3x-y=4 and goes through the point (3,2).
Answers
Answer:
Step-by-step explanation:
In parallel lines gradient are the same so first re-arrange the given equation.
1. Ax+By=C
2. The equation is given in standard format [tex]3x-y=4[/tex]
Solve for m.
1. [tex]3x-y=4[/tex]
2. [tex]\frac{3x}{3} =\frac{4}{3}+\frac{y}{3}[/tex]
3. [tex]x=\frac{4}{3}+\frac{y}{3}[/tex]
Find the value of b using the formula for the equation of line.
[tex]y=mx+b[/tex]
Substitute the value of m into the equation.
[tex]y=(\frac{4}{3}+\frac{y}{3}) . x+b[/tex]
Substitute the value of x into the equation
[tex]y=(\frac{4}{3}+\frac{y}{3}).(3)+b[/tex]
Substitute the value of y into the equation
[tex]2=(\frac{4}{3}+\frac{2}{3}).(3)+b[/tex]
Find B
[tex]b= -4[/tex]
Now we know the value of m and b. Substitute them into y=mx+b to find the equation of the line.
[tex]y=\frac{4}{3} x+\frac{1}{3} yx-4[/tex]
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The movie theater sells adult tickets for $10 and kids
tickets for $8. They sold $176 worth of tickets last Tuesday with a total of 20 ticket sales.
Use the graph to determine the number of adult tickets
and kids tickets sold.
number of adult tickets:
number of kids tickets:
Answers
Answer:
On Tuesday 8 adult tickets and 12 child tickets were sold.
Step-by-step explanation:
Since the movie theater sells adult tickets for $ 10 and kids tickets for $ 8, and they sold $ 176 worth of tickets last Tuesday with a total of 20 ticket sales, to determine how many tickets of each type were sold, the following calculation must be performed:
10 - 8 = 2
20 x 8 = 160
176 - 160 = 16
16/2 = 8
8 x 10 + 12 x 8 = X
80 + 96 = X
176 = X
Therefore, on Tuesday 8 adult tickets and 12 child tickets were sold.
Need help fast will give brainiest
Answers
Answer:
[tex]\text{1. }\triangle IJH\cong \triangle LKM, \\\text{2. }\triangle RST\cong \triangle YXZ, \\\text{3a. Reflexive Property}, \\\text{3b. ASA (Angle-Side-Angle)}[/tex]
Step-by-step explanation:
ASA (Angle-Side-Angle) is a proof of congruence that states if two triangles share two angles and the side between those two angles, the triangles are congruent. In problems 1 and 2, the following demonstrate this:
[tex]\text{1. }\triangle IJH\cong \triangle LKM, \\\text{2. }\triangle RST\cong \triangle YXZ[/tex]
In problem 3, [tex]\overline{IJ}\cong \overline{IJ}[/tex] is known in geometry as the Reflexive Property. Because of this, the two triangles in the diagram for problem 3 now share two angles and the side between them, thus they are congruent from ASA (Angle-Side-Angle).
no link nor file pease help im crying about these questions
Answers
Answer:
7
Step-by-step explanation:
10.5*2/3= 3.5*2=7
Answer:
Step-by-step explanation:
The radius of a car wheel is 49 cm, Find the circumference of the wheel?
Answers
Answer:
308 is the correct answer. please mark me brainliest
Answer:
307.876 cm
Step-by-step explanation:
Circumference is 2 x pi x radius
2 x pi (3.14....) x 49 = 307.876
Round it to however many decimals you need
find the sin of whixh angles equak 5/6
Answers
Answer:
arcsin(5/6) = 56.44 degrees, or 0.99 radian
Step-by-step explanation:
Write out sin x = 5/6.
Then write out the inverse function: arcsin 5/6 = x.
Use a calculator's 'arcsin' function to determine the angle x:
arcsin(5/6) = 56.44 degrees, or 0.99 radian
you have a list of 600 random, normally distributed numbers with a mean of 10 and a standard deviation of 2.Which of these statements is true?
Answers
You have a list of 600 random, normally distributed numbers with a mean of 10 and a standard deviation of 2. Which of th... https://brainly.com/question/11505120
Answer:
c
Step-by-step explanation:
right on plato
The diagram shows the locations of Gabe’s house, a library, and a gymnasium. Each unit on the grid represents 1 kilometer.
Part A: What is the distance between Gabe’s house and the library?
A. 4 kilometers
B. 5 kilometers
C. 3 kilometers
D. 6 kilometers
Answers
The distance between gab's house and library will be 4km
What is Distance?
Distance is a numerical measurement of how far apart object or point are or it may also refer as the physical length.
From graph we can see that Gabe's house is 3 km on positive x axis in respect to the origin
Whereas library is 1 km apart from origin on negative x axis
Since we are calculating distance , we simply add both the above mentioned distances irrespective of their direction since distance is a scaler quantity.
Distance between Gab's house and library will be :
D = |3| + |-1|
D = 3+1 = 4 km option A)
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One pile of cards contains the number 2 through 6 in red hearts. A second pile of cards contains the numbers 4 through 8 in black spades. Each pile of cards has been randomly shuffled. If one card from each pile is chosen at the same time, what is the probability that the sum will be less than 12?
Answers
Answer:
19/25.
Step-by-step explanation:
The total possible number of combinations of 2 cards from the 2 piles = 5*5 = 25.
Possible ways to get sum of 12 or more =
4,8 5,7 5,8 6,6 6,7 6,8 = 6 ways.
So the number of ways to get sum of < 12 = 25 - 6 = 19.
So the required probability = 19/25.
Answer:
I think the probability is 19 out of 25 = 19/25, but I am not sure so please check by step by step solution.
Step-by-step explanation: 5 29 12 38
Hearts 2, 3, 4, 5, 6
Spades 4, 5, 6, 7, 8
Find the probability that the sum of any two randomly cards is less than 12.
I count 5² = 25 possibilites
I found 5 + 5 + 4 + 3 + 2 combinaitons of cards whose sum is less than 12
sum of 19 combinations less than 12
19 /25 is the probability of the sum being less than 12
hearts.... + spade < 12
the 2 + any shade 5
the 3 + any spade 5
the 4 + the four lowest spades 4
the 5 + the three lowest spades 3
the 6 + the four lowest spades 2
Answer this question pls!! (Will give Brainliest)
Answers
Answer:
1. Not equivalent
2. Not equivalent
3. Equivalent
4. Equivalent
5. Equivalent
Step-by-step explanation:
I will prove the ones that are equivalent, since the ones that aren't are pretty straightforward.
2(3h + 7) = 6h + 14
3. 6h + 7 + 7 = 6h + 14
4. 3h + 3h + 14 = 6h + 14
5. (3h + 7) + (3h + 7) = 6h + 14
NEED HELP DUE IN 2 MINUTES!!!!
A cube has a volume of 64 cubic feet. What is the length of one side of the cube in feet?
Answers
Answer:
4 feetStep-by-step explanation:
s³ = 64
Take the cube root of both sides
s = 4