How many integers between 50 000 and 60 000 are squares of integers?

Answers

Answer 1

Perfect squares are the squares of integers

There are 990 integers between 50000 and 60000 that are squares of integers

There are 1000 perfect squares, and 100 perfect cubes between 1 and 1000000

This is because:

[tex]\mathbf{100000 = 1000^2 = 100^3}[/tex]

Rewrite as:

[tex]\mathbf{100000 = x^2 = y^3}[/tex]

Where x lies between 1 and 1000, and y lies between 1 and 100.

If y^3 is a perfect square, then y is a perfect square

List out the perfect squares from 1 to 1000

[tex]\mathbf{y = 1, 4, 9, 16, 25, 36, 49, 64, 81, 100}[/tex]

Take the cube of these numbers

[tex]\mathbf{y^3 = 1^3, 4^3, 9^3, 16^3, 25^3, 36^3, 49^3, 64^3, 81^3, 100^3}[/tex]

[tex]\mathbf{y^3 = 1, 64, 729, 4096, 15625, 46656, 117649, 262144, 531441, 1000000}[/tex]

So, the count of numbers that are perfect squares and perfect cubes between 1 and 1000000 is 10.

The count of integers between 50000 and 60000 that are squares of integers is:

[tex]\mathbf{n = x -10}[/tex]

Substitute 1000 for x

[tex]\mathbf{n = 1000 -10}[/tex]

[tex]\mathbf{n = 990}[/tex]

Hence, there are 990 integers between 50000 and 60000 that are squares of integers

Read more about perfect squares at:

https://brainly.com/question/13521012


Related Questions

Solve for the missing variable

Answers

Answer:

x = 7.5.

The two lines on the side of the triangle in the screenshot show us that the two lines made are the same length. So the difference between the first two values, i.e. 22.3 and 14.9 is the same difference between 14.9 and x.

Step-by-step explanation:

hope this helps. . .<3

good luck!    uωu

Answer:

Step-by-step explanation:

14.9 is the middle value of x and 22.3. So your formula looks like this.

(x + 22.3) / 2 = 14.9          Multiply both sides by 2

2(x + 22.3) / 2 = 14.9*2    Remove the brackets.

x + 22.3   = 29.8              Subtract 22.3 from both sides

x = 29.8 - 22.3                

x = 7.5

If a ≠ 0 and b ≠ 0 which of the following is equivalent to 2/3a 1/b?

Answers

Answer:

58

Step-by-step explanation:

Given m\parallel nm∥n, find the value of x. n m (8x+19)° 59°

Answers

(8x19) /5;6 to the newest rate

Question 3 What is the equation of the parabola that opens up, has a vertex V(5,0), and a y-intercept of 50?​

Answers

Answer:

y=2(x-5)^2

Step-by-step explanation:

Vertex form:

y=a(x-p)^2+q

(p,q) = (5,0)

y=a(x-5)^2

y-intercept has coordinates (0,50) so, substitute x=0 and y= 50 in the above equation to find "a"

50=a(0-5)^2

50=25a

a=2

equation

y=2(x-5)^2

Consider the pattern 24, 33, 42, 51, …. What will the 10th term be?

Answers

Answer:

a₁₀ = 105

Step-by-step explanation:

There is a common difference between consecutive terms , that is

33 - 24 = 42 - 33 = 51 - 42 = 9

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 24 and d = 9 , then

a₁₀ = 24 + (9 × 9) = 24 + 81 = 105

The 10th number of the arithmetic sequence will be 105.

What is an arithmetic sequence?

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

24, 33, 42, 51, ....

The first term is 24 and the common difference will be

d = 33 - 24

d = 9

Then the 10th term of the arithmetic sequence will be

a₁₀ = 24 + (10 - 1) × 9

a₁₀ = 24 + 9 × 9

a₁₀ = 24 + 81

a₁₀ = 105

The 10th number of the arithmetic sequence will be 105.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

--8
- 2
4
10
y
8
1
re
-6
—13

Answers

Step-by-step explanation:

sorry I can't find the slope of x y

but I can tell the formula

m=y2-y1/x2-x1

a car travels at 56 km per hour find the time it takes to travel 300 metres give your answer in seconds correct to the nearest second​

Answers

1km = 1000 m , thus 56km = 56000 m

1hr = 60 mins

1min = 60 secs, therefore 60 mins = 60*60 seconds = 3600 seconds = 1hr

so then, we know the car travels 56000 meters in 3600 secs, how many seconds will that be for 300 meters?

[tex]\begin{array}{ccll} meters&seconds\\ \cline{1-2} 56000&3600\\ 300&x \end{array}\implies \cfrac{56000}{300}=\cfrac{3600}{x}\implies \cfrac{560}{3}=\cfrac{3600}{x} \implies 560x=10800 \\\\\\ x = \cfrac{10800}{560}\implies x = \cfrac{135}{7}\implies x \approx 19.286\implies \stackrel{\textit{rounded up}}{x = 19}[/tex]

There are 10 girls in the class. This is three less thank half the number of boys . How many boys are in the class?

Answers

Answer:

there are 6 boys

Step-by-step explanation:

If 10 is 3 less, then adding 3 to 10 is 13 and if 13 is half the number of boys then 13 + 13 is 26. I’m not too sure but I think the answer is 26 boys

the price of broccoli is $1.25 per pound. let y be the total cost in dollars of buying x pounds of broccoli

which equation represents this situation

a, x=y+1.25
b. y= 1.25x
c. y= x+1.25
d. x= 1.25y

Answers

the answer would be B (y=1.25x

Explanation:
If you are trying to find out the total cost you would multiply the number of pounds you bought (x) by the cost per pound (1.25) in order to get ur answer
When you put it into the substitute equation
you’d get
y(total spent)= 1.25(cost per pound) x(number of pounds)


Hope this helped!
Answer is b I believe

A recipe for cinnamon rolls calls for 3 cups of flour for every cup of water. Using the same recipe, how much water will you need for 5 cups of flour?
How many cups of water will you need for 5 cups of flour? ​

Answers

Answer:

5/3 cups of flour

Step-by-step explanation:

3/1=5/x x representing the amount of water

cross multiply: 3x=5

divide by 3: x=5/3

In 1950, the group spent 23% of their budget on food. This has decreased
at an average rate of approximately 0.27% per year since then. Find a
linear function in slope-intercept form that models the percentage of total
spending, p(x), by the group x years after 1950.

Answers

The linear function that can be used to model this relationship is:

y = -0.27x + 23

A linear function is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let P(x) represent the percentage of total  spending x years after 1950.

Since In 1950, the group spent 23% of their budget on food, hence b = 23.

Also, this has been decreasing at 0.27% per year. Hence m = -0.27.

The linear function that can be used to model this relationship is:

y = -0.27x + 23

Find out more at: https://brainly.com/question/13911928

4. How long would it take sound waves traveling through air that is 68°F to
travel 1,372 meters? Use an equation to solve the problem.

Answers

Answer:

2.7 seconds

Step-by-step explanation:

[] Temp of air: 68°F -> 20°C

[] Velocity of sound in air:

[tex]v=331.3\sqrt{1+\frac{T}{273.15} }[/tex]

[tex]v=331.3\sqrt{1+\frac{68}{273.15} }[/tex]

v ≈ 370.25 m/s

[] Last,

t = [tex]\frac{d}{v}[/tex]

t = [tex]\frac{1,372}{370.25}[/tex]

t ≈ 3.7056 ≈ 2.7 seconds

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather


Look at the angle Z that is marked on the shape. Is this angle less than, more than or equal to a right angle?

Answers

Answer:

Less then a right angle

Step-by-step explanation:

It’s can’t be equal (looks at other examples of a right angle)

It can’t be more since that would bve more then a right angle and it certainly isnt more

it can only be less

find the value of (-7/10)(2/5)

Answers

Answer:

the answer to (-7/10)(2/5) is -7/25.

or if you need decimal form it is -0.28

Step-by-step explanation:

what is the measure of x?

Answers

Answer:

Hello!

After reviewing the problem you have provided I have come up with the correct solution:

x= 9

Step-by-step explanation:

To come up with this solution you have to first realize that the smaller triangle is a proportionally scaled down version of the entire larger triangle! (I will show what I mean in a linked picture)

So after we have realized that the smaller triangle is a scaled down version of the larger one, we can then create a formula or ratio to calculate the value of the missing side of the larger triangle (being x+6=??).

To create the formula/ratio I divided 10inches by 4inches. Thus the larger triangle is 2.5 times larger than the smaller one.

I then use this ratio to figure out the missing length of the larger triangle by doing:

6inches x 2.5 = 15inches.

I then inputed the 15inches into the formula of the missing side:

x+6=15

Subtracted 6 from both sides to simplify, and came up with the solution!

x=9

Let me know if this helps!

PLS HELP I NEED THIS DONE TODAY PLSSS WILL GIVE BRAINLY

Answers

Answer:

You need 6 lbs of red potatoes

32oz of cream cheese

43oz cream of potatoe soup

Step-by-step explanation:

Multiply all by 4

The circumference of a circle is 28.888 centimeters. What is the circle's radius?
Use 3.14 for pi

Answers

Answer:

4.6

Step-by-step explanation:

28.888 / 3.14 = 9.2

9.2 / 2 = 4.6

Let f(y) = y^4 - 3y^3 + y - 3 and g(y) = y^3 + 7y^2 - 2. Find f(y) + g(y). Write your answer as a polynomial with terms of decreasing degree.

Answers

Answer:   y^4 - 2y^3 + 7y^2 + y - 5

Work Shown:

h(y) = f(y) + g(y)

h(y) = (y^4 - 3y^3 + y - 3) + (y^3 + 7y^2 - 2)  

h(y) = y^4 - 3y^3 + y - 3 + y^3 + 7y^2 - 2  

h(y) = y^4 + (-3y^3+y^3) + 7y^2 + y + (-3 - 2)

h(y) = y^4 - 2y^3 + 7y^2 + y - 5

This is a fourth degree polynomial (aka quartic).

If u=log(x3+y3+z3-3xyz)show that d2u/dx2+d2u/dy2+d2u/dz2=-3/(X+y+z)^2​

Answers

Points matter H16/z=d33752

what is the percent of change from 5 to 7

Answers

Answer:  40

Step-by-step explanation:

4
b(x) = 16.22 – 25
bx)
Use the drop-down menus to factor the expression and find the zeros of b(x).

Answers

Answer:

1) (4x)² - (5)²

2) (4x + 5) (4x -5)

3) Zeros of b are [tex]\frac{5}{4}[/tex] and [tex]\frac{-5}{4}[/tex] (can also be 1.25 and -1.25)

Find x intercept
(0, 24) (4,0)

Answers

Answer:

bt.ly/d97sjdu8 there is your answer!

Step-by-step explanation:

Answer:

x-intercept is 0

Step-by-step explanation:

(0, 24) (4,0)

(x, y)

0/4=0

Use the clues and each of the numbers on the sign to complete the grid.

Clues

. All four numbers in a row must have a common factor greater than 1.
. Pairs of numbers in a column must have a common factor greater than 1.

Answers

Answer:

prayers lang po katapat nyan

Use the drawing tools to form the correct answer on the graph. What is the inverse of the function shown? (4,-2)

Answers

well, keeping in mind that to draw a line all we need is two points, now, the one drawn already has many points let's pick two off of it, hmmm (-1,4) and (-6,-2).

Now, let's recall that for inverse functions, the domain of the original is the range of the inverse and the range of the original is the domain of the inverse, what does that mean? heheh, well, it simple means that for any point on the original that is say (a , b), the inverse will have a point at the flipped version of it of (b , a).  So if the orginal has the points aforementioned above, then the inverse will surely have the points of (4 , -1) and (-2 , -6), and we can just draw a line through those.  Check the picture below.

Measure E is equal to?

Answers

Answer:

E =114

Step-by-step explanation:

The two base angles are equal to 33 since it is an isoscles triangle.  We know that because the two sides are equal.   That means D and F are equal to 33. The sum of the angles of a triangle are 180.  

D+E+F = 180

33+E +33=180

66+E = 180

E = 180-66

E =114

here's my question. ​

Answers

Answer:

use reciprocal

Step-by-step explanation:

A textbook store sold a combined total of 209 history and math textbooks
in a week. The number of math textbooks sold was 75 less than the
number of history textbooks sold. How many textbooks of each type
were sold?

Answers

Answer:

67 math, 142 history

Step-by-step explanation:

lets say the number of math textbooks was x and the number of history textbooks is y. we have x+y=209 and x=y-75. we can plug the second equation into the first to get y-75+y=209. simplfy to get 2y=284 so y=142. since x=y-75, x=67

525, 650, 539, 643, 764, 539, 687
What is the interquartile range of these numbers

Answers

Answer:

148

Step-by-step explanation:

sorry, im not sure how to solve it, but its 148

hope this kinda helped :)

mark me brainliest :D

The two parallel sides of a trapezium are 19.8 and 7.2 cm. If the area of the trapezium is 135 sq cm find the distance between its parallel sides

Answers

Answer:

67.72

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The area of a Trapezium is

(a+b)/2 * h where

a = top

b= bottom

h- height, distance between the two parallel sides (ie the top and bottom)

135 = (19.8+7.2)/2 *h

135=13.5h

h= 10

Question 10 of 10 According to this diagram, what is tan 62°? 62 i 7 28° tra OA. A. 15 B. 0 O C. OD D8 O E 17 F​

Answers

9514 1404 393

Answer:

  B.  15/8

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you that the tangent relation is ...

  Tan = Opposite/Adjacent

The side opposite the 62° angle is marked 15.

The side adjacent the 62° angle is marked 8.

Then the tangent ratio for 62° is ...

  tan(62°) = 15/8

Other Questions
What is the area of the following triangle in square meters? Do not round your answer. A = WITH THE RIGHT ANSWER WILL RECEIVE BRAINLIEST when were fingerprints first used as forensic evidence PLS HELP ASAP ILL GIVE BRAINLKEST THANKS PLS ANSWER a star that expands after exhausting its hydrogen fuel Joyce buys a bus pass for the month of march for $32.55.How much does the bus pass cost per day? What do we call the things we see around us? *15 pointsa. ecosystemb. environmentc. matterd. density Question 4(Multiple Choice Worth 1 points)(03.04 LC) Look at the image, read, and choose the option with the correct words that completes the sentence.A cook cutting meat with a knifeYo uso ________ para cortar to cut la carne. la cuchara la silla el cuchillo el vaso Which of the following numbers is between - 3/4 and 5/8 ? don't add links please. 7. Fill in the columns in the following table. What quantity shoulda profit-maximizing firm produce? Verify your answer withmarginal reasoning. In a particularly sunny month, Solaire's solar panels generated 110%, percent as much power as expected.What fraction of the expected amount of power did Solaire's solar panels generate? The prophet Muhammad preached which of the following? A. Allah is the earth itself. B. Allah is the one true God. C. Allah was the father of Muhammad. If sin theta < 0 and cot theta < 0, which quadrant(s)could the terminal side of theta lie? In the diagram below, \overline{ST} ST is parallel to \overline{PQ} PQ. If STST is 55 more than QTQT, RT=10RT=10, and PQ=15PQ=15, find the length of \overline{QT} QT. Figures are not necessarily drawn to scale. State your answer in simplest radical form, if necessary.PQRTS HELP HURRY !! is the graph a function ? 3^12*(2^x)^2 = 6^12 then x equals to..? Write a hypostasis based on observations on identifying unknown materials and scientific principals. 7 2/9 + -5 1/5 =show your work, show me how you got this answer Indicate the general type of reaction represented in each the reactions: The starting material is a 6 membered ring with an internal alkene between carbons 1 and 2. The product is a six membered ring with a bond to X on carbon 1 and a bond to Y on carbon 2. What type of reaction is Reaction A Which elements are involved in physical weathering? Air, salt, rivers, sand, and ice Air, water, ice, temperature, and plants Animals, water, pressure, sediment, and gravity Temperature, animals, ice, gravity, and plants