A number is raised to the 4 th power, then divided by half the of the original number, and finally increased by 141/2. If the result is 100, what was the orginal number

Answers

Answer 1

Answer:

the number is 2.45

Step-by-step explanation:

let the original number = n

[tex]\frac{n^4}{n/2} = \frac{2n^4}{n} = 2n^3\\\\2n^3 + \frac{141}{2} = 100\\\\4n^3 + 141= 200\\\\4n^3 = 200 - 141\\\\4n^3 = 59\\\\n^3 = \frac{59}{4} \\\\n^3 = 14.75\\\\n = \sqrt[3]{14.75} \\\\n = 2.45[/tex]

Therefore, the number is 2.45


Related Questions

6x+ 14 <--28
AND
3r + 28 < 25

Answers

Answer:

what?

Step-by-step explanation:

Plz help solve them thank you in advance!

Answers

#1

[tex]\\ \sf{:}\dashrightarrow 20m+(-16)m=20m-16m=4m[/tex]

#2

[tex]\\ \sf{:}\dashrightarrow 5m+(-16m)=5m-16m=-11m[/tex]

#3

[tex]\\ \sf{:}\dashrightarrow -9m+11m=2m[/tex]

#4

[tex]\\ \sf{:}\dashrightarrow -9m+(-11m)=-9m-11m=-20m[/tex]

I need help and I can’t find any sadly. Help!!

Answers

Answer: 1 is given, 2 is combine like terms, 3 is addition property of equality

Step-by-step explanation:

I NEED SOME HELP WITH SOME MATH ASSIGNMENTS ANYONE WILLING TO HELP ?

Answers

Yeah sure I’d love to help do you have a picture that I can? Also love your pfp lol

graph h(x)=x^4-3x^2+x. identity the x intercepts and the points where the local maximum and local minimum occur. determine the intervals for which the function is increasing or decreasing.Round to the nearest hundredth if necessary

Answers

I hope this helps you. Give a like

The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.

The local minimum is 1.

The function is increasing at the interval (-1.5, 0.5) and (1, ∞).

The function is decreasing at the interval (∞, -1) and (0, 1.5).

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

h(x) = [tex]x^4[/tex] - 3x² + x

The x-intercept is when h(x) = 0.

0 = [tex]x^4[/tex] - 3x² + x

From the graph, we see that,

The x-intercept are at x = 0, x = -1.9, x = 0.35, and x = 1.5

Now,

h(x) = [tex]x^4[/tex] - 3x² + x

h'(x) = 4x³ - 6x

h''(x) = 12x² - 6 (positive)

So,

h(x) has a minimum value.  

h'(x) = 0

4x³ - 6x = 0

4x³ = 6x

4x² = 6

x² = 6/4

x² = 3/2

x² = 1.5

x = ±√1.5

x = ±1.22

The minimum values are:

h(1.22) =  [tex]x^4[/tex] - 3x² + x = -1

h(-1.22) =  [tex]x^4[/tex] - 3x² + x = 1

The local minimum is 1.

From the graph, we see that,

The function is increasing at the interval (-1.5, 0.5) and (1, ∞).

The function is decreasing at the interval (∞, -1) and (0, 1.5).

Thus,

The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.

The local minimum is 1.

Increasing intervals are (-1.5, 0.5) and (1, ∞).

Decreasing intervals are (∞, -1) and (0, 1.5).

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th
then
term of the sequence
Write an
explicit formula for
an)
19, 24, 29,

Answers

Answer:

tn=a+(n-1)d

Step-by-step explanation:

t1=19

t2=24

t3=29

now,

d=t2-t1=24-19=5

=t3-t2=29-24=5

then,

tn=a+(n-1)d

=19+(n-1)5

=5n+14

Select each expression that has a value of 15 when x = 15.
A. x3 + 10
B. 15,521 ÷ x
C. (3,015 ÷ x) – 186
D. 20x2 ÷ 30
E. 2x25 – 25

Answers

The answer is C.
3,015 divided by 15=201-186=15

22 of the 30 students in Evan's grade have a pet. What is the ratio of the number of students who do not have a pet to the number of students who have a pet?

Answers

Answer:

8 to 22

Step-by-step explanation:

if there are 22 people that have a pet whens there is 30 students in total, you have to do, 30-22, and 30-22=8 meaning there are 8 students who don't have pets.

And if already says 22 students have pets, therefore the answer is

8 to 22

8:22

It’s the end of the soccer season and all equipment at the Sports Stop is on sale. What is the sale price of a soccer ball that regularly sells for $28? (ANSWER THE QUESTIONS BELOW)("Ticket",The Sports Stop: All soccer equipment is on sale for 20% OFF the regular price!)
What does “20% off the regular price” mean? How do you write 20% as a decimal ?What is the regular price of the soccer ball? How would you find 20% of the regular price? What would you do with this amount to find the sale price? What is the sale price? Summarize the steps you would take to find the sale price given the regular price and a percent discount.

Answers

Answer:

22.4

Step-by-step explanation:

0.2*28=5.6

28-5.6=

Simple Geometry Question 100 Points
How do you use coordinates to find the area of polygons?

Answers

Answer:

By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.

Step-by-step explanation:

By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon

HELP PLZ!!!!
1) Which rigid motion will verify that rectangle ABCD is congruent to rectangle A'B'C’D’ ?
A) A reflection over x-axis.
B) A reflection over y-axis.
C) A 270° clockwise rotation about the origin.
D) A 90° counterclockwise rotation about the origin.
2) Which rigid motion will verify that rectangle A'B'C'D' is congruent to rectangle A"B"C"D"?
A) A reflection over x-axis.
B) A reflection over y-axis.
C) A translation 8 units to the right.
D) A 90° counterclockwise rotation about the origin.

Answers

Answer:

reflection over x-axis

hope that helps!!!

please help me I do not understand it please

Answers

Answer:

x= 0

y= 2

explanation in the picture attached (tap the image to view it fully)

X = 0
Y = 2

Explanation

There are 20 questions on a test. Three points are awarded for a correct answer and – 1 for an incorrect answer. If Brian answered 14 questions correctly and 6 incorrectly, what is his score?

Answers

Answer:

36 points

Step-by-step explanation:

3x14 = 42

1x6 = 6

42-6 = 36

Hope that helps

Answer:

54 hope this helps

Solve the system of equations.
y=5x+9
y=8x-6

Answers

Answer:

(5,34)

Step-by-step explanation:

equivalent expressions to 3/5x +3

Answers

Step-by-step explanation:

......3(x+5)/5......

During a sale, a store offered a 25% discount on a tablet computer that originally sold
for $320. After the sale, the discounted price of the tablet computer was marked up
by 25%. What was the price of the tablet computer after the markup? Round to the
nearest cent.

Answers

Answer:

304

Step-by-step explanation:

x/760 40/100=

760x40=30,400

30,400 divided by 100=304

Answer: she/he is wrong.

Step-by-step explanation:

no offence.

6 - 3/8x = 15

what is x​

Answers

Answer:

Step-by-step explanation:

the answer is -480

Answer:

x = -24

Step-by-step explanation:

First, transpose 6 to the right and remember that 6 must change sign if you transpose it, that'll give you

- 3/8x = 15-6

-3/8x = 9

Divide both sides by - 3/8

Then x = - 24

a class is 20% boys and 80% girls of the boys 30% wear glasses of the girls 40% wear glasses what percent of the class wears glasses??????​

Answers

Answer:

38%

Step-by-step explanation:

20%-30%, 100%-30%, 20%-6%

80%-40%, 100%-40%, 5%-2%, 80%-32%

32+6=38%

Can someone help? This is hard

Answers

The 3rd answer because the Median would mean that each side is equal.

no links pls help

The length of a rectangle is 5/2 units greater than twice its width. If its width is w, which expression gives the perimeter of the rectangle in terms of w?
A.
2(5/2w) + w
B.
5/2w + w
C.
3w + 10/2
D.
6w + 5

Answers

[tex]\text{Given that,}\\\\\text{Width =w}, \\\\\text{Length,}~ l = \dfrac 52 +2w\\\\\text{Perimeter of rectangle}\\\\ =2( l+w)\\\\=2\left(\dfrac 52 + 2w +w\right)\\\\\\=2\left(\dfrac 52 +3w\right)\\\\\\=6w+5~~ \text{units}[/tex]

If there are 30 boys and 12 girls in a room, fill out all of the possible ratios of boys to girls that could be made

Answers

Answer:

30:12

Step-by-step explanation:

Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5?

Answers

If any doubt leave a comment

lesson 5 practice problems

Answers

Answer:

Step-by-step explanation:

ok ill help but can soke one help me too

A hot air balloon went from an elevation of 5,201 feet to an elevation of 3,339 feet
in 28 minutes.
What was its rate of descent

Answers

The first thing I did was to be a part of the world, and the other is a great way to get the best out of the way, and I have to say that I am not a fan of the
The first thing I noticed that I have been a little more time to do so by a single day and age and

Given the word FAMILY, find the number of ways you can arrange with all letters

Answers

Answer:

That's impossible to make another word with all those letters used together.

But 5 letter words like  filmy and flamy

and 4 letter words like film, flam, amyl, flay, limy, alif, fail, fila, mail, and mali.

And 3 letter words like fly, fay,may, yam, fil, lam, mil, aim, ami, lay, mai,  and ail

and 2 letter words like my, am, fa, fi, if, ma, mi, ay, ya, yi, al, la, li, and ai.

It's not impossible

I Hope I Had HELPED You :)

SO there is 39 different ways to make other words with the letters you have given me.

The factorize formula for n.

n! = n(n - 1)(n - 2)(n - 3).......1

The number of ways that can be arranged with all letters is 720.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The factorize formula for n.

n! = n(n - 1)(n - 2)(n - 3).......1

FAMILY

The number of ways that can be arranged with all letters.

The number of letters in the word FAMILY.

= 6

The number of ways.

= 6!

= 6 x 5 x 4 x 3 x 2 x 1

= 730 ways.

Thus,

The number of ways that can be arranged with all letters is 720.

Learn more about expressions here:

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help me please .
Ester purchased a used car, a Ford Focus, for $8400. The car is expected to decrease in value by 20% per year over the next couple of years.


At this rate, what can Ester expect the approximate value of the car to be after 6 years?


Question 6 options:


$1,409



$2,202



$4,200



$1,762

Answers

Answer:

$2,202

Step-by-step explanation:

If the car decreases in value 20% per year, that means that the car is only worth 80% of its value for the next year.

80% can be written as .80.

Multiply the value of the car by .80 6 times.

8400 multiplied by .80 = 6720

6720 multiplied by .80 = 5376

repeat this sequence 4 more times to come to an answer of 2,202

What is the equation in vertex form of a parabola with vertex (2, 4) that opens downward and is stretched by a factor of 3?

Answers

Answer:

[tex]y=-\frac{1}{3}(x-2)^2+4[/tex]

Step-by-step explanation:

Vertex form of a parabola is [tex]y=a(x-h)^2+k[/tex] with the vertex being [tex](h,k)[/tex] and the vertical stretch or shrink factor as [tex]a[/tex].

Therefore, the correct equation is [tex]y=-\frac{1}{3}(x-2)^2+4[/tex]

The equation in vertex form of the downward-opening parabola with vertex (2, 4) that is stretched by a factor of 3.

The vertex form of a downward-opening parabola is given by:

y=a(x-4)²+k

Where (h, k) is the vertex of the parabola.

The vertex is (2, 4), and the parabola is stretched by a factor of 3. The negative sign in front of "a" indicates that the parabola opens downward.

So, we have:

Vertex: (h, k) = (2, 4)

Stretched factor:

a=-3

Now plug these values into the vertex form equation:

y=-3(x-2)²+4

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Find the measure of midsegment EF.

Answers

Answer:

29 units

Step-by-step explanation:

The midsegment of a trapezoid is the average of the top and bottom sides.

(25+33)/2 = 29

Answer:

measure of midsegment EF is 29

Step-by-step explanation:

basically just find the average of the two numbers

25+33/2 = 29

please help me!

ty :D

Answers

Answer:

x =  3,0 y = 0, -4

Step-by-step explanation:

The x-intercept is the point at which the graph crosses the x-axis.The y-intercept is the point at which the graph crosses the y-axis.Let x be 0.Then, 12x - 9y = 36or, 12(0) - 9y = 36or, -9y = 36or, y = 36 ÷ -9 = -4(x, y) = (0, -4)Now, let y be 0.Then, 12x - 9y = 36or, 12x - 9(0) = 36or, 12x = 36or, x = 3(x, y) = (3, 0)So, x-intercepts are 0 and 3 and y-intercepts are -4 and 0.

Answer:

x - intercept (0, 3)

y - intercept (-4, 0)

Hope you could get an idea from here.

Doubt clarification - use comment section.

PLEASE HELP ME!! THANKS :)

Answers

Basically, you plug in c and solve for y, but since I’m here I’ll do that for you.
1. y=7
2. y=17
3. y=21
4. y=24
Btw these are cordinates as (x,y) where the x corresponds to the correct y

Answer:

1. y=7

2. y=17

3. y=21

4. y=24

Step-by-step explanation:

I hope you're able to complete the problem, have a great day/night! <3

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