Can you help me find t value in this problem?

Can You Help Me Find T Value In This Problem?

Answers

Answer 1

we have a maximum at t = 0, where the maximum is y = 30.

We have a minimum at t = -1 and t = 1, where the minimum is y = 20.

How to find the maximums and minimums?

These are given by the zeros of the first derivation.

In this case, the function is:

w(t) = 10t^4 - 20t^2 + 30.

The first derivation is:

w'(t) = 4*10t^3 - 2*20t

w'(t) = 40t^3 - 40t

The zeros are:

0 = 40t^3 - 40t

We can rewrite this as:

0 = t*(40t^2 - 40)

So one zero is at t = 0, the other two are given by:

0 = 40t^2 - 40

40/40 = t^2

±√1 = ±1 = t

So we have 3 roots:

t = -1, 0, 1

We can just evaluate the function in these 3 values to see which ones are maximums and minimums.

w(-1) = 10*(-1)^4 - 20*(-1)^2 + 30 = 10 - 20 + 30 = 20

w(0) = 10*0^4 - 20*0^2 + 30    = 30

w(1) =  10*(1)^4 - 20*(1)^2 + 30 =  20

So we have a maximum at x = 0, where the maximum is y = 30.

We have a minimum at x = -1 and x = 1, where the minimum is y = 20.

If you want to learn more about maximization, you can read:

https://brainly.com/question/19819849


Related Questions

PLSS HELP I WILL MARK BRAINLIEST!! A bag of Skittles has 21 purple Skittles. This represents 30% of all Skittles in the bag. how many Skittles are in the bag? ​

Answers

Answer:

70

Step-by-step explanation:

if 21 is 30%, divide 21 by 3 for get 7, which is 10%. Now multiply 7 by 10 to get 70 which is 100%

Hey! 70 skittles is your answer. My work's below!

- - - - - - - - - - - - - - - - - - - -  

First, use this formula:

a certain percent (%) = a certain number (#)  

# x 100 / %

- - - - - - - - - - - - - - - - - - - -  

In this scenario...

30% = 21 (your provided numbers)

21 x 100 / 30 (the formula in action)

2,100 / 30 = 70

(2,100 is the result of 21 x 100, so divided by 30 you have 70!)

- - - - - - - - - - - - - - - - - - - -  

Good luck! :)

~pinetree

One number is five more than the other their sum is 33

Answers

Answer:

14 and 19

Step-by-step explanation:

33-5=28

28÷2=14

Hence, one of the number is 14.

14+5=19.

Another number is 19.

∴For checking:

19+14=33

19-14=5

what are the answer 1/7 of 21

Answers

Answer:

The answer is 3.

Step-by-step explanation:

1/7(21)= 3

what is the perimeter

Answers

Answer:

wouldt be 112,000?

Step-by-step explanation:

Dont you do 10x9x4x4??

That is how i was tought how to do it. I dont know about you.

Answer:

80

Step-by-step explanation:

The 4 doesn't matter right now unless you were solving for area. Visualize the shape as a normal rectangle with no cut out. That would make the bottom line 10+10+10 which equals 30. The top line is the same as the bottom, so that would also be 30. Then you just have the two sides which are both 10, combined them and they would add up to 20. Perimeter is the distance around the edge of a shape. You find the perimeter by adding up the distance of all the sides. So in conclusion, you're answer will be 30+30+10+10 which equals 80.

Help of it's ok?
Nomber 9 and 10 plss help

Answers

Answer:

i wrote an explanation and the answers below!

Step-by-step explanation:

so ill give you a few tips on these!

1/2 can be written as 0.50 since its half .

1/4 can be written as 0.25 since its fourth (i dont know how to say it loll) ?

2 1/2 is 2.50 because it has 2 and 0.5

now ill just solve the rest since i explained

3 1/4 = 3.25

20 1/2 = 20.5

10.

to solve for these you have to simplify and look for the GCF (greatest common factor)

20/4

the GCF is 4 because you can divide 4 to the numerator and the denominator, and because it is the biggest value that you can divide between them

so now you just have to simplify it

20/4 = 5

30/5 = 6

40 / 8 = 5

prime factorazation of 70

Answers

Answer:

2 × 5 × 7

Hope this helps!

Answer:

2 x 5 x 7

Step-by-step explanation:

Hope this helps! Pls give brainliest!

[tex] \rm\sum_{n = 1}^ \infty ( - 1 {)}^{n + 1} \int^{ \infty }_{0} \frac{ \sqrt{ {x}^{2n - 3} } \: {tan}^{ - 1}( {x}^{2n - 1} )}{1 + {x}^{2n - 1} } \: dx\\ [/tex]​

Answers

Substitute [tex]y = x^{\frac{2n-1}2}[/tex] and [tex]dy = \frac{2n-1}2 x^{\frac{2n-3}2} \, dx[/tex]. Then the integral is

[tex]\displaystyle \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1 + x^{2n-1}} \, dx = \frac2{2n-1} \underbrace{\int_0^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy}_I[/tex]

which is to say, the integral is now independent of n. Then

[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = I \sum_{n=1}^\infty \frac{2(-1)^{n+1}}{2n-1}[/tex]

Let's evaluate the sum. Recall that if |x| < 1, we have

[tex]\displaystyle \frac1{1-x} = \sum_{n=0}^\infty x^n[/tex]

which means

[tex]\displaystyle \frac1{1+x^2} = \frac1{1-(-x^2)} = \sum_{n=0}^\infty \left(-x^2\right)^n = \sum_{n=0}^\infty (-1)^n x^{2n}[/tex]

By the fundamental theorem of calculus, integrating both sides gives

[tex]\displaystyle \tan^{-1}(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n+1}}{2n+1} = \sum_{n=1}^\infty (-1)^{n+1} \frac{x^{2n-1}}{2n-1}[/tex]

As x approaches 1 from below, we have

[tex]\displaystyle \lim_{x\to1^-} \tan^{-1}(x) = \lim_{x\to1^-} \sum_{n=1}^\infty (-1)^{n+1} \frac{x^{2n-1}}{2n-1}[/tex]

[tex]\displaystyle \frac\pi4 = \sum_{n=1}^\infty \frac{(-1)^{n+1}}{2n-1} \left(\lim\limits_{x\to1^-} x^{2n-1}\right) = \sum_{n=1}^\infty \frac{(-1)^{n+1}}{2n-1}[/tex]

and so

[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = \frac\pi2 I[/tex]

Now compute the remaining integral. First split it at y = 1 :

[tex]\displaystyle I = \int_0^1 \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy + \int_1^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy[/tex]

In the second integral, notice that replacing [tex]z=\frac1y[/tex] and [tex]dy = -\frac{dz}{z^2}[/tex] yields

[tex]\displaystyle \int_1^\infty \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy = - \int_1^0 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1 + \frac1{z^2}} \, \frac{dz}{z^2}  = \int_0^1 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1+z^2} \, dz[/tex]

The inverse tangent function has the property

[tex]\tan^{-1}(x) = \dfrac\pi2 - \tan^{-1}\left(\dfrac1x\right)[/tex]

so it follows that

[tex]\displaystyle \int_0^1 \frac{\tan^{-1}\left(\frac1{z^2}\right)}{1+z^2} \, dz = \frac\pi2 \int_0^1 \frac{dz}{1+z^2} - \int_0^1 \frac{\tan^{-1}(z^2)}{1+z^2} \, dz[/tex]

and hence

[tex]\displaystyle I = \int_0^1 \frac{\tan^{-1}\left(y^2\right)}{1 + y^2} \, dy + \frac\pi2 \int_0^1 \frac{dz}{1+z^2} - \int_0^1 \frac{\tan^{-1}(z^2)}{1+z^2} \, dz[/tex]

[tex]\displaystyle I = \frac\pi2 \int_0^1 \frac{dz}{1+z^2}[/tex]

[tex]I = \dfrac\pi2 \times \dfrac\pi4 = \dfrac{\pi^2}8[/tex]

Then the original expression has an exact value of

[tex]\displaystyle \sum_{n=1}^\infty (-1)^{n+1} \int_0^\infty \frac{x^{\frac{2n-3}2} \tan^{-1}\left(x^{2n-1}\right)}{1+x^{2n-1}} \, dx = \frac\pi2 \times \frac{\pi^2}8 = \boxed{\frac{\pi^3}{16}}[/tex]

The sum of two numbers is 52. If one number is
7/6
times the second number, then find the largest

Answers

Answer:

28

Step-by-step explanation:

Given:

sum of two numbers = 52one number is 7/6 times the second number

Let [tex]x[/tex] = first number

[tex]\implies \dfrac76x = \textsf{second number}[/tex]

Therefore, as the sum of the two numbers is 52:

[tex]\implies \dfrac76x+x=52[/tex]

[tex]\implies \dfrac76x+\dfrac66x=52[/tex]

[tex]\implies \dfrac{13}{6}x=52[/tex]

[tex]\implies13x=52 \cdot 6[/tex]

[tex]\implies13x=312[/tex]

[tex]\implies x=\dfrac{312}{13}[/tex]

[tex]\implies x=24[/tex]

Therefore, the largest number is:

[tex]\implies \dfrac76\cdot 24 =\dfrac{168}{6}=28[/tex]

Use rounding to estimate the product of 7,984 and 8,495. Round both numbers to the nearest thousand to find your answer

Answers

If the answer is talking about rounding to 1 thousand then that means it is 64,000,000

WILL GIVE BRAINLIEST.

Answers

Answer:

B is the better buy.

Step-by-step explanation:

A: conical container: volume = π(6/2)²*9/3 = 27π

B: cylindrical container: volume = π(6/2)²*9 = 81π

Cost per unit volume:

A: $1.75/(27π) = $0.0206

B: $3.75/(81π) = $0.0147

So B is cheaper.

B is the better buy.


You have a bowl in the kitchen that is
exactly half of a sphere. The radius of
the bowl is 10 inches. How much food can
the bowl hold?

Find the volume.

Answers

Answer:

The answer is 2095 cubic inches

step-by-step explaination:

Given;Radius of hemisphere = 10 inches.To Find;Volume of Hemisphere = ?Formula;Volume = ⅔ π r³

Now,

V = 2/3 πr³

V = (2/3) × (22/7) × (10)³ inches

V = 44/21 × (10)³ inches

V = 2.095 × 1000 inches

V = 2095 cubic inches.

Thus, The volume of bowl is 2095 cubic inches.

-TheUnknownScientist 72

I need help with a math problem.

Answers

Answer:

Webmath is a math-help web site that generates answers to specific math questions and problems, as entered by a user, at any particular moment.

Salma runs 7 miles in 50 minutes. At the same rate, how many miles would she run in 75 minutes?

Answers

Answer:

10.5

Step-by-step explanation:

you half 50 minutes to get 25 so you do the same to the seven to get 3.5 and then you add 7 and 3.5 together

the souder family went on a vacation with 3000$ if they spent 200 each day,how much money they got left after x days.

Answers

after x days they will have 3000 - 200x

help me understand whts happening here

Answers

Answer:

No

Step-by-step explanation:

The ratios are not common

Answer:

No

Step-by-step explanation:

the ratios are not common.

The area of a rectangular field is 3696 m square. If the length of the field is 66 m, what is its width?

Answers

Answer:

The answer is 56m

Step-by-step explanation:

3696m³÷66m=56m

Hope this help!!

Width be x

ATQ

[tex]\\ \rm\hookrightarrow Area=Length\times breadth [/tex]

[tex]\\ \rm\hookrightarrow 66x=3696[/tex]

[tex]\\ \rm\hookrightarrow x=3696/66[/tex]

[tex]\\ \rm\hookrightarrow x=56m[/tex]

Solve the following inequality.
x^2-x≥6

Answers

Answer:

x smaller than or equals to -2

x bigger than or equals to 3

A rock has a mass of 1,400 pounds. What is the mass of the rock in ounces? How many tons?

Answers

A. The mass of the rock in ounce is 22400 ounce.

B. The mass of the rock in ton is 0.7 ton

Conversion scale 1 pound = 16 ounce1 pound = 0.0005 ton

A. How to determine the mass in ounce Mass (in pound) = 1400 poundMass (in ounce) =?

1 pound = 16 ounce

Therefore,

1400 pound =1400 × 16

1400 pound = 22400 ounce

B. How to determine the mass in ton Mass (in pound) = 1400 poundMass (in ton) =?

1 pound = 0.0005 ton

Therefore,

1400 pound =1400 × 0.0005

1400 pound = 0.7 ton

Learn more about conversion:

https://brainly.com/question/2139943


Find the equation for the line that passes through (10,- 9) that has slope -8/3.
Give your answer in point-slope form.

Answers

Answer:

The answer is [tex]y=-(\frac{8}{3} )x+\frac{53}{3}[/tex]

Answer:

53 answer y hijsbjdh

___

3

Which pairs of angles are alternate interior angles? Select all that apply.
13
214
517
un
618

Answers

Answer: 214 and 618

!!Pls help i desperately need this will give brainliest !!
Find the radius of a sector if Area = 32 cm² of a sector of a circle with θ = radians.
Use: A = ½ θ · r² with θ = and A = 32 cm² and π = 3.14.

Round the area of the sector to the nearest hundredth and express the answer in the correct unit of measure.

Answers

Answer:

Step-by-step explanation:

[tex]\frac{\pi r^2}{2 \pi } \times \theta=32\\\frac{1}{2} r^2 \times \theta=32\\r^2=\frac{32 \times 2}{\theta} \\r^2=\frac{64}{\theta} \\r=\frac{8}{\sqrt{\theta} }[/tex]

substitute the value of θ and solve ,you get the value of radius r

Uhh word words word solve equation words-

Answers

Answer:

54°

Step-by-step explanation:

In the given question we would like to solve for x .The two marked angles here are vertically opposite angles . And vertically opposite angles are equal .

So here (2x +2)° and (3x - 52)° are equal. Therefore,

[tex]\longrightarrow 2x + 2^o = 3x - 52^o\\ [/tex]

[tex]\longrightarrow 2x - 3x = -52^o -2^o \\ [/tex]

[tex]\longrightarrow -x = -54^o\\[/tex]

[tex]\longrightarrow \underline{\underline{\boldsymbol{ x = 54^o }}} [/tex]

Hence the value of x is 54°

And we are done!

Answer :

54°

Explanation :

When two straight lines intersect each other, then the pairs of angles so formed without any common arm are called vertically opposite angles.

Here,

[tex] \longrightarrow \sf \qquad \: (3x - 52) {}^{ \circ} = (2x + 2) {}^{ \circ} [/tex]

[tex]\longrightarrow \sf \qquad \: 3x - 2x = 2 {}^{ \circ} + {52}^{ \circ} [/tex]

[tex]\longrightarrow \bf \qquad \: x = {54}^{ \circ}[/tex]

please help me with this question

Answers

Answer:

[tex]0[/tex]

Step-by-step explanation:

I can't understand your hand writing

Answer:

improve your handwriting then worry about math fam

463 of 615 people who were asked question 1 favored the law. 403 of 585 people who were asked question 2 favored the law. Is there evidence that the phrasing may have influenced responses

Answers

Using the z-distribution, as we are working with a proportion, it is found that there is evidence that the phrasing may have influenced responses.

What are the hypotheses tested?

At the null hypothesis, it is tested if there is no difference between the proportions, that is:

[tex]H_0: p_1 - p_2 = 0[/tex]

At the alternative hypothesis, it is tested if there is difference, that is:

[tex]H_1: p_1 - p_2 \neq 0[/tex]

What is the mean and the standard of the distribution of the differences of sample proportions?

For each sample, we have that:

[tex]p_1 = \frac{463}{615} = 0.7528, s_1 = \sqrt{\frac{0.7528(0.2472)}{615}} = 0.0174[/tex]

[tex]p_2 = \frac{403}{585} = 0.6889, s_2 = \sqrt{\frac{0.6889(0.3111)}{585}} = 0.0191[/tex]

For the distribution of differences, we have that:

[tex]\overline{p} = p_1 - p_2 = 0.7528 - 0.6889 = 0.0639[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0174^2 + 0.0191^2} = 0.0258[/tex]

What is the test statistic?

It is given by:

[tex]z = \frac{\overline{p} - \mu}{s}[/tex]

In which [tex]\mu = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - \mu}{s}[/tex]

[tex]z = \frac{0.0639 - 0}{0.0258}[/tex]

[tex]z = 2.47[/tex]

What is the decision?

Considering a two-tailed test, as we are testing if the proportion is different of a value, and a significance level of 0.05, the critical value is [tex]|z^{\ast}| = 1.96[/tex].

Since the absolute value of the test statistic is greater than the critical value, it is found that there is evidence that the phrasing may have influenced responses.

More can be learned about the z-distribution at https://brainly.com/question/26454209

WHAT TIME IS HALF PAST THREE???

Answers

Answer:

three-thirty (3:30)

Step-by-step explanation:

An hour is 60 minutes, so half an hour would be 30 minutes. Half past 3 would also be 30 minutes past 3, or 3:30.

I hope this helps!! :) Have a lovely day!!!

I’m pretty sure it’s 3:30, correct me if I’m wrong lol.

What's the answer????

Answers

Answer:

7

Step-by-step explanation:

2(3)(0) + 7

6(0) + 7

0 + 7

7

Have an amazing day!

PLEASE RATE!

List the coefficients of x in the expression
x - 7x2y.

Answers

Answer:

7

Step-by-step explanation:

7 is the coefficient of X.

Reasoning? The coefficient is the number that comes before a variable. In this case, 7 is the coefficient of x.

And 2 is the coefficient of y.

find the measure of all missing angles.

Answers

Answer:

here is the answer

Step-by-step explanation:

a=90

b=80

c=45

d=45

e=138

Translate the verbal rule into an equation.

To get z, subtract 15 from x.

Answers

Answer:

x- 15= z

Step-by-step explanation:

If you want to get that z, it says to subtract 15 from x. So that's why the x comes first.

Please mark me as brainliest!

6. At the movies, Aaron buys popcorn for
$5.25 and a bottle of water for $2.50. He
pays with a $10 bill. How much change
should Aaron
receive?
ublishing Company

Answers

Answer:

$2.25

Step-by-step explanation:

First, you have to add the amount that Aaron paid. Then, subtract it from 10, which is the amount of the bill he is paying with.

5.25 + 2.50 = 7.75

10-7.75 = 2.25

Answer:

$2.25

Step-by-step explanation:

First, we will find out how much he needs to pay.

$5.25 + $2.50 = $7.75

Then, we will find the amount of change he should receive.

$10.00 - $7.75 = $2.25

Other Questions
Steven is a Police Detective who is paid the same amount every week by the municipal government, no matter how many hours he works. Ethyl is a Lawyer who works for more than 40 hours per week. Song is a Firefighter for the municipal government, which provides health insurance for her and her family. Monte is hired as a Crossing Guard, even though he has no experience performing similar jobs. What is Mr. Smith's dog name Read this short paragraph and make two questions about it hurry go to finish the homework before 9:00 In a survey of 2500 registered voters, 1900 of them said that they plan to vote in the next presidential election. Let p denote the proportion of all registered voters who plan to vote. Find the 95% confidence interval for p. this should be easy but please tell me how to do this stuff:The figure shown is composed of 4 identical cubes.Find the surface area. 1. What kind of wave is in the picture above?2. Label the following parts of waves above: Rarefaction, compression, wavelength, direction of wave The price of a new dishwasher is 376. This price includes VAT at a rate of 17.5%. What was the price before VAT was added? What are real and virsual image explain with the help of examples Tech A says that potentiometer type sensors use a variable resistance to create a variablevoltage signal that corresponds to a specific condition. Tech B says that oxygen sensors arethe potentiometer type. Who is correct? 11. How many moles of oxygen are produced when 5 moles of potassium chlorate(V)decomposes completely?2KCIO3 2KCl + 302 Who makes the decisions about how Lowood is run?A. Miss TempleB. Miss MilerC. Miss ScatcherdD. Mr. Brocklehurst When corporate departments such as marketing, human resources, and information technology implement plans of action that support higher-level strategies, they are following a(n) ______ strategy. Find the slope and the y-intercept of the graph of the linear equation.y = -3x+2The slope is (Answer here) and the y -intercept is (Answer here) -4 and a y intercept at 3 3/5-1/3 can you help me get the answer? PLS HELP ME I NEED HELP PLS The difference between the hydrostatic pressure of the blood in the glomerulus and the opposing pressures of the osmotic blood pressure and fluid pressure in the capsular space is termed the what 5 dived 1/2 pls help me Bernice has a string of lights decorating her room. One of the bulbs burns out, but the rest of the lights in the chain function normally. What kind of circuit is the light string using?A. seriesB. parallelC. redundantD. analog