What is the sum of 4th squared number and the 2nd cube number

Answers

Answer 1

Answer:

mark me as brinalist if answers are correct

What Is The Sum Of 4th Squared Number And The 2nd Cube Number
Answer 2
The answer above is correct!

Related Questions

Flying against the wind, an airplane travels 3360 kilometers in hours. Flying with the wind, the same plane travels 7560 kilometers in 9 hours. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer:

606.6 and 233.3 respectively

Step-by-step explanation:

Let the speed of plane in still air be x and the speed of wind be y.

ATQ, (x+y)*9=7560 and (x-y)*9=3360. Solving it, we get x=606.6 and y=233.3

Prove that A.M, G.M. and H.M between any two unequal positive numbers satisfy the following relations.
i. (G.M)²= (A.M)×(H.M)
ii.A.M>G.M>H.M​

Answers

Answer:

See below

Step-by-step explanation:

we want to prove that A.M, G.M. and H.M between any two unequal positive numbers satisfy the following relations.

(G.M)²= (A.M)×(H.M) A.M>G.M>H.M

well, to do so let the two unequal positive numbers be [tex]\text{$x_1$ and $x_2$}[/tex] where:

[tex] x_{1} > x_{2}[/tex]

the AM,GM and HM of [tex]x_1[/tex] and[tex] x_2[/tex] is given by the following table:

[tex]\begin{array}{ |c |c|c | } \hline AM& GM& HM\\ \hline \dfrac{x_{1} + x_{2}}{2} & \sqrt{x_{1} x_{2}} & \dfrac{2}{ \frac{1}{x_{1} } + \frac{1}{x_{2}} } \\ \hline\end{array}[/tex]

Proof of I:

[tex] \displaystyle \rm AM \times HM = \frac{x_{1} + x_{2}}{2} \times \frac{2}{ \frac{1}{x_{1} } + \frac{1}{x_{2}} } [/tex]

simplify addition:

[tex] \displaystyle \frac{x_{1} + x_{2}}{2} \times \frac{2}{ \dfrac{x_{1} + x_{2}}{x_{1} x_{2}} } [/tex]

reduce fraction:

[tex] \displaystyle x_{1} + x_{2} \times \frac{1}{ \dfrac{x_{1} + x_{2}}{x_{1} x_{2}} } [/tex]

simplify complex fraction:

[tex] \displaystyle x_{1} + x_{2} \times \frac{x_{1} x_{2}}{x_{1} + x_{2}} [/tex]

reduce fraction:

[tex] \displaystyle x_{1} x_{2}[/tex]

rewrite:

[tex] \displaystyle (\sqrt{x_{1} x_{2}} {)}^{2} [/tex]

[tex] \displaystyle AM \times HM = (GM{)}^{2} [/tex]

hence, PROVEN

Proof of II:

[tex] \displaystyle x_{1} > x_{2}[/tex]

square root both sides:

[tex] \displaystyle \sqrt{x_{1} }> \sqrt{ x_{2}}[/tex]

isolate right hand side expression to left hand side and change its sign:

[tex]\displaystyle\sqrt{x_{1} } - \sqrt{ x_{2}} > 0[/tex]

square both sides:

[tex]\displaystyle(\sqrt{x_{1} } - \sqrt{ x_{2}} {)}^{2} > 0[/tex]

expand using (a-b)²=a²-2ab+b²:

[tex]\displaystyle x_{1} -2\sqrt{x_{1} }\sqrt{ x_{2}} + x_{2} > 0[/tex]

move -2√x_1√x_2 to right hand side and change its sign:

[tex]\displaystyle x_{1} + x_{2} > 2 \sqrt{x_{1} } \sqrt{ x_{2}}[/tex]

divide both sides by 2:

[tex]\displaystyle \frac{x_{1} + x_{2}}{2} > \sqrt{x_{1} x_{2}}[/tex]

[tex]\displaystyle \boxed{ AM>GM}[/tex]

again,

[tex]\displaystyle \bigg( \frac{1}{\sqrt{x_{1} }} - \frac{1}{\sqrt{ x_{2}}} { \bigg)}^{2} > 0[/tex]

expand:

[tex]\displaystyle \frac{1}{x_{1}} - \frac{2}{\sqrt{x_{1} x_{2}} } + \frac{1}{x_{2} }> 0[/tex]

move the middle expression to right hand side and change its sign:

[tex]\displaystyle \frac{1}{x_{1}} + \frac{1}{x_{2} }> \frac{2}{\sqrt{x_{1} x_{2}} }[/tex]

[tex]\displaystyle \frac{\frac{1}{x_{1}} + \frac{1}{x_{2} }}{2}> \frac{1}{\sqrt{x_{1} x_{2}} }[/tex]

[tex]\displaystyle \rm \frac{1}{ HM} > \frac{1}{GM} [/tex]

cross multiplication:

[tex]\displaystyle \rm \boxed{ GM >HM}[/tex]

hence,

[tex]\displaystyle \rm A.M>G.M>H.M[/tex]

PROVEN

Using the applet, explore the results for simulating a group of 30 people and noting whether there is a duplicated birthday (whether at least two people have a matching birthday). Run at least 40 trials. What is the relative frequency of trials that had at least two people with the same birthday

Answers

Answer:I just need points

Step-by-step explanation:

Hey

Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = sqrt(25x) and y = x^2/25. Find V by slicing & find V by cylindrical shells.

Answers

Explanation:

Let [tex]f(x) = \sqrt{25x}[/tex] and [tex]g(x) = \frac{x^2}{25}[/tex]. The differential volume dV of the cylindrical shells is given by

[tex]dV = 2\pi x[f(x) - g(x)]dx[/tex]

Integrating this expression, we get

[tex]\displaystyle V = 2\pi\int{x[f(x) - g(x)]}dx[/tex]

To determine the limits of integration, we equate the two functions to find their solutions and thus the limits:

[tex]\sqrt{25x} = \dfrac{x^2}{25}[/tex]

We can clearly see that x = 0 is one of the solutions. For the other solution/limit, let's solve for x by first taking the square of the equation above:

[tex]25x = \dfrac{x^4}{(25)^2} \Rightarrow \dfrac{x^3}{(25)^3} = 1[/tex]

or

[tex]x^3 =(25)^3 \Rightarrow x = \pm25[/tex]

Since we are rotating the functions around the y-axis, we are going to use the x = 25 solution as one of the limits. So the expression for the volume of revolution around the y-axis is

[tex]\displaystyle V = 2\pi\int_0^{25}{x\left(\sqrt{25x} - \frac{x^2}{25}\right)}dx[/tex]

[tex]\displaystyle\:\:\:\:=10\pi\int_0^{25}{x^{3/2}}dx - \frac{2\pi}{25}\int_0^{25}{x^3}dx[/tex]

[tex]\:\:\:\:=\left(4\pi x^{5/2} - \dfrac{\pi}{50}x^4\right)_0^{25}[/tex]

[tex]\:\:\:\:=4\pi(3125) - \pi(7812.5) = 14726.2[/tex]

Heeeellllllppppp?????

Answers

9514 1404 393

Answer:

  -1

Step-by-step explanation:

We notice that we want term a1 and have terms a17 and a33. These terms (every 16-th term) form an arithmetic sequence. The middle term (a17) is the average of the other two, so we have ...

  a17 = (a1 +a33)/2

  2a17 -a33 = a1 = 2(10) -21 = -1

  a1 = -1

_____

Additional comment

You could go to the trouble to find the general term of the sequence.

  an = a1 +d(n -1)

  a17 = a1 + d(17 -1) = 10

  a33 = a1 + d(33 -1) = 21

Subtracting the first equation from the second, we have ...

  16d1 = 11

  d1 = 11/16

Using the first equation, we find ...

  a1 +(11/16)(17 -1) = 10

  a1 = 10 -11 = -1 . . . . same as above.

f(x)=3(x+5)+4/xwhat is f (a+2) solve this problem with showing the work

Answers

smac my az like the drum

Simplify the given expression.

Answers

Answer:

8x-21

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

(2x-7)(2x+7)

Step-by-step explanation:

7                       4

-----------   + ------------

4x^2 -49    2x+7

Factor  ( notice that it is the difference of squares)

7                       4

-----------   + ------------

(2x)^2 - 7^2    2x+7

7                       4

-----------       + ------------

(2x-7)(2x+7)    2x+7

Get a common denominator

7                       4(2x-7)

-----------       + ------------

(2x-7)(2x+7)    (2x-7)(2x+7)

Combine

7 +4(2x-7)

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

(2x-7)(2x+7)  

7 +8x-28

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

(2x-7)(2x+7)  

8x-21

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

(2x-7)(2x+7)  

Answer:

(8x - 21) / (2x + 7)(2x - 7)

Step-by-step explanation:

7 / (4x^2 - 49)+ 4 / (2x + 7)

= 7 / (2x + 7)(2x - 7) + 4 / (2x + 7)

LCM = (2x + 7)(2x - 7)   so we have

(7 + 4(2x - 7) / (2x + 7)(2x - 7)

=   (8x - 21) / (2x + 7)(2x - 7).

Need help pleaseeee!!!

Answers

Answer:

C is wrong!

Step-by-step explanation:

The explanation is in the picture!

Divide 500 in the ratio 4:5:1

Answers

Answer:

200 : 250 : 50

Step-by-step explanation:

Sum the parts of the ratio, 4 + 5 + 1 = 10 parts

Divide the amount by 10 to find the value of one part

500 ÷ 10 = 50 ← value of 1 part of ratio , then

4 parts = 4 × 50 = 200

5 parts = 5 × 50 = 250

500 = 200 : 250 : 50

Answer:

200, 250 and 50.

Step-by-step explanation:

First find the 'multiplier'.

4 + 5 + 1 = 10

500/10 = 50 = multiplier.

So the answer is

4*50 = 200

5 * 50 = 250

and 1 * 50 = 50.

Which letter on the diagram below represent a diameter of the circle

Answers

Answer:

where is your diagram?

Step-by-step explanation:

Determine the product of (46.2 × 10^-1) ⋅ (5.7 × 10^–6). Write your answer in scientific notation.


A)

2633.4 × 10^–5

B)

2.6334 × 10^–7

C)

2.6334 × 10^–1

D)

2.6334 × 10^–5

Answers

Step-by-step explanation:

here's the answer to your question

A sample of 375 college students were asked whether they prefer chocolate or vanilla ice cream. 210 of those surveyed said that they prefer vanilla ice cream. Calculate the sample proportion of students who prefer vanilla ice cream.

Answers

Answer:

The sample proportion of students who prefer vanilla ice cream is 0.56.

Step-by-step explanation:

Sample proportion of students who prefer vanilla ice cream:

Sample of 375 students.

Of those, 210 said they prefer vanilla ice cream.

The proportion is:

[tex]p = \frac{210}{375} = 0.56[/tex]

The sample proportion of students who prefer vanilla ice cream is 0.56.

If the roots of ax² + bx + c = 0 differ by 3. Show that b² =9a² + 4ac​

Answers

Answer:

Step-by-step explanation:

the ages of two students are in the ratio of 3:5,if the older is 40yrs. How old is the younger student​

Answers

Answer:

24 years

Step-by-step explanation:

total ratio =8

older student=40 years

3/8*40 ÷ 5/8=24

15. (x - 3)
If f(x) = 2x2 – 5, find the following.
16.fly-2)
17. f(a+h)-f(a)

Answers

Answer:

16. f(y-2) = 2(y-2)²-5

= 2(y²-4y+4)-5

= 2y²-8y+8-5

= 2y²-8y+3

17. f(a+h)-f(a) = 2(a+h)²-5-(2a²-5)

= 2(a²+2ah+h²)-5-2a²+5

= 2a²+4ah+h²-2a²

= h²+4ah

Find the length of BC

Answers

Answer:

53.68

Step-by-step explanation:

tan54 = bc/39

bc = 39tan54

Step-by-step explanation:

Hey there!

From the given figure;

Angle CAB = 54°

Side AC = 39

To find: side BC

Taking Angle CAB as reference angle;

Perpendicular (p) = BC = ?

Base (b) = AC = 39

Hypotenuse (h) = AB

Taking the ratio of tan;

[tex] \tan( \alpha ) = \frac{p}{b} [/tex]

Keep value;

[tex] \tan(54) = \frac{bc}{39} [/tex]

Simplify it;

1.376381*39 = BC

Therefore, BC = 53.678.

Hope it helps!

The distance from the green point on the parabola to the parabolas focus is 11. What is the distance from green point to the directrix?

Answers

Answer:

answer 11

Step-by-step explanation:

I think it the right answer

Diane must choose a number between 49 and 95 that is a multiple of 2, 3, and 9. Write all the numbers that she could choose. If
there is more than one number, separate them with commas?

Answers

The set of numbers that Diane can choose is:

{54, 60, 66, 72, 78, 84, 90}

Finding common multiples of 2, 3, and 6:

A number is a multiple of 2 if the number is even.

A number is a multiple of 3 if the sum of its digits is multiples of 3.

A number is a multiple of 6 if it is a multiple of 2 and 3.

Then we only need to look at the first two criteria.

First, let's see all the even numbers in the range (49, 95)

These are:

{50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94}

All of these are multiples of 2.

Now we need to see which ones are multiples of 3.

To do it, we sum its digits and see if that sum is also a multiple of 3.

50: 5 + 0 = 5 this is not multiple of 3.

52: 5 + 2 = 7 this is not multiple of 3.

54: 5 + 4 = 9 this is multiple of 3, so 54 is a possible number.

And so on, we will find that the ones that are multiples of 3 are:

54: 5 + 4 = 9.

60: 6 + 0 = 6

66: 6 + 6 = 12

72: 7 + 2 = 9

78: 7 + 8 = 15

84: 8 + 4 = 12

90:9 + 0 = 9

Then the numbers that Diane could choose are:

{54, 60, 66, 72, 78, 84, 90}

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

https://brainly.com/question/1553674

A car travels 630 miles in 14 hours. At this rate, how far will it travel in 42 hours?

Answers

Assuming the car's speed [tex]\frac{630}{14}=45\mathrm{mph}[/tex] does not change, the car will travel [tex]45\cdot42=\boxed{1890}[/tex] miles.

Hope this helps :)

Look at the image for the question

Answers

Answer:

Does the answer help you?

In 1815, Sophie Germain won a mathematical prize given by the Institut de France for her work on the theory of elasticity. The prize was a medal made of 1 kilogram of gold. How much is the medal worth today in U.S. dollars and in euros

Answers

Answer:

gold price : $58.72/gram

$58,720 per kilo(1000) grams

Step-by-step explanation:

IS THSI RIGHTTTTTTTT??????????????

Answers

Answer:

No. It is EF and GH

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

The answer will be EF and GH, both are 7 units long.

If y = ax^2 + bx + c passes through the points (-3,10), (0,1) and (2,15), what is the value of a + b + c?

Answers

Hi there!

[tex]\large\boxed{a + b + c = 6}[/tex]

We can begin by using the point (0, 1).

At the graph's y-intercept, where x = 0, y = 1, so:

1 = a(0)² + b(0) + c

c = 1

We can now utilize the first point given (-3, 10):

10 = a(-3)² + b(-3) + 1

Simplify:

9 = 9a - 3b

Divide all terms by 3:

3 = 3a - b

Rearrange to solve for a variable:

b = 3a - 3

Now, use the other point:

15 = a(2)² + 2(3a - 3) + 1

14 = 4a + 6a - 6

Solve:

20 = 10a

2 = a

Plug this in to solve for b:

b = 3a - 3

b = 3(2) - 3 = 3

Add all solved variables together:

2 + 3 + 1 = 6

A sample of 45 bottles of soft drink showed a variance of 1.1 in their contents. The process engineer wants to determine whether or not the standard deviation of the population is significantly different from 0.9 ounces. What is the value of the test statistic

Answers

Answer:

The value of the test statistic is 59.75.

Step-by-step explanation:

The test statistic for the population standard deviation is:

[tex]\chi^2 = \frac{n-1}{\sigma_0^2}s^2[/tex]

In which n is the sample size, [tex]\sigma_0[/tex] is the value tested and s is the sample standard deviation.

A sample of 45 bottles of soft drink showed a variance of 1.1 in their contents.

This means that [tex]n = 45, s^2 = 1.1[/tex]

The process engineer wants to determine whether or not the standard deviation of the population is significantly different from 0.9 ounces.

0.9 is the value tested, so [tex]\sigma_0 = 0.9, \sigma_0^2 = 0.81[/tex]

What is the value of the test statistic

[tex]\chi^2 = \frac{n-1}{\sigma_0^2}s^2[/tex]

[tex]\chi^2 = \frac{44}{0.81}1.1 = 59.75[/tex]

The value of the test statistic is 59.75.

Help me because I dont understand

Answers

Answer:

105 sq ft + 31 sq ft

Step-by-step explanation:

=  136 sq ft

Hope it helps✌✌

Add .003, 265.8, 83.04
and 1972

Answers

Answer: 2.320.843

Explanation: Calculator

square root of 12321 by prime factorization

Answers

12321-3x3x37x37

(3)^2×(37)^2

square root = 3×37=111

Hope it helps you..!!

i keel asking for the dang answer why wont anyone tell me it a store sells pencils pens and markers that sells two times as many markers as pencils and three times as many pens as pencils is the store sells a total of 1950 pencils and pens and markers in a week how many of each were sold​

Answers

Answer:

Pencils = 325 ; Pens = 975 ; Markers = 650

Step-by-step explanation:

Let :

Number of Pencils = x

Number of pens = y

Number of markers = z

2 times as many markers as pencils

z = 2x

3 times as many pens as pencils

y = 3x

x + y + z = 1950

Write z and y in terms of x in the equation :

x + 3x + 2x = 1950

6x = 1950

Divide both sides by 6

6x / 6 = 1950 / 6

x = 325

Number of pencils = 325

Pens = 3 * 325 = 975

Markers = 2 * 325 = 650

Pencils = 325 ; Pens = 975 ; Markers = 650

for the vector (-9,3), find 1/2V, -V, and 4V

Answers

9514 1404 393

Answer:

1/2V = <-9/2, 3/2>-V = <9, -3>4V = <-36, 12>

Step-by-step explanation:

The scalar multiplier multiplies each of the components.

  1/2V = <-9×1/2, 3×1/2> = <-9/2, 3/2>

  -V = <(-9)(-1), (3)(-1)> = <9, -3>

  4V = <-9×4, 3×4> = <-36, 12>

Geometry help I don’t know any of this stuff!!

Answers

Answer:

radius chordsecant linecenterpoints of tangency circumference
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How are decomposers critical to the carbon cycle? Choose the correct answer from the given four options: In an AP, if d = 4, n = 7, an = 4, then a is*620728 J. J. Abrams was born in NewYorkCityin 1966. Growing up, Abrams lovedmysteries and magictricks-anything that was unexpected. His favorite movies and television programs were science fictionones like The Twilight Zone. When he was 11 or 12, Abrams' grandfather gave him a movie camera called a Super 8. He used the camera to make short movies with his sister and their friends. From then on, Abrams' ambition was to work in Hollywoodand make movies and TVshows. He soon got his 10 first opportunity at 16 years old,when he wrote music for a movie called Nightbeast. In college, Abrams co-wrote and sold a screenplay to a Hollywoodproduction company. He started gaining popularity for his work, and his next two dramas-Regarding Henry and Forever 15 Young-were hit movies. Abrams continued to write and produce screenplays throughout his 20s, the biggest being Armageddon. But Abrams never lost his passion for the mysterious and wanted to create shows like the ones he enjoyed as a child. His next move was into television in 1998, when he helped create the popular TVseries Felicity. Some of his shows became huge hits, 20 like the spy drama Alias and the Emmy-winningmystery thriller Lost. Abrams made his movie directing debut almost a decade later in 2006, with Mission: Impossible III. He then went on to direct the science fictionmovie Star Trek in 2009. His movie success caught the attention of top filmmaker Steven Spielberg.Together,they created the monster movie Super 8, named for the camera both men experimented with when 25 they were young. The Super 8 camera has proved to be very influential in Abrams' life, but there is another special gift that has helpedAbrams becomewho he is today.Notlongafter the camera, Abrams' grandfather gave him a box of magictricks. Abrams calls it a "mystery box,"because he never opened it. He says he wants to preserve the mystery, and remind 30 himself to create unexpected stories. Tohim, the box "represents infinitel possibility. It represents hope. It represents potential." Abrams has even used the box metaphor to describe movie theaters. "What's a bigger mystery box than a movie theater? Yougoto the theater, you're just so excited to see anything ...mystery boxes are everywhere in what I do."The box remains a source of 35 inspiration for Abrams, and he keeps it on a shelf in his office. At a dinner party in 1994, Abrams met a woman named Katie McGrath and they got married soon after. Today,the couple and their three children live near LosAngeles, California, where Abrams runs his own production company called Bad Robot.He keeps busy, usually working on many projects at once,and is always lookingto create 40 more and more mystery boxes. Read the following sentences. Write true (T) or false (F). 1 F.Abrams mostly wrote screenplays in his 20s. 2 .Abrams compares the movie theater to his Super 8 camera. 3 .Steven Spielberg has worked with Abrams since Abrams' television days. 4 .Abrams works for his wife's production company, Bad Robot. 5 .Abrams likes to work on more than one project at a time. If the premiums are not paid on a Traditional Whole Life policy that has been in force for decades with no loan outstanding, what happens if A={1,2,3} and B={a,b,c} find AB and BA. Also show both of them in arrow diagram. I need for exam find the distance between the points (7,23) and (3,-3), rounded to the hundredths place Read the excerpt from The Odyssey.Now Zeus the lord of cloud roused in the northa storm against the ships, and driving veilsof squall moved down like night on land and sea.The bows went plunging at the gust; sailscracked and lashed out strips in the big wind.We saw death in that fury, dropped the yards,unshipped the oars, and pulled for the nearest lee:then two long days and nights we lay offshoreworn out and sick at heart, tasting our grief,until a third Dawn came with ringlets shining.Which key details should be included in a paraphrase of this passage? Check all that apply.The storm was a direct result of Zeuss fury at the men. 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