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

Please help me ASAP please I need help

Answers

Answer:

147°

Step-by-step explanation:

Solving for x

To make a straight line the angles have to have a sum of 190. So 180°-33° would equal 147°

Answer:

x = 147°

Step-by-step explanation:

A line is 180°

180 - 33 = 147

There are 12 girls and 8 boys in Ms. Crabapple's class. If 25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant, what percent of the entire class is going on the field trip?

Answers

Answer:

25%

Step-by-step explanation:

25% of 12 is 3

25% of 8 is 2

5 people out of 20 people

5/20 = 25%

25% percent of the entire class is going on the field trip

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

There are 12 girls and 8 boys in Ms. Crabapple's class.

The total number of students

12+8=20

25% of the girls and 25% of the boys are going on a field trip to a nuclear power plant,

25% of the girls =0.25×12=3

25% of the boys =0.25×8=2

So the total number of students went to field trip

3+2=5

So out of 20 student, 5 students went to the field trip.

Which means 25% of the entire class is going on the field trip

Hence, 25% percent of the entire class is going on the field trip

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ2

what number is its own opposite?

Answers

Answer:

0

Step-by-step explanation:

what number is its own oppositie?

The number 0 is the only number that is its own opposite.

Hi! Can someone help me with this lab? It's 67% of my grade and I totally forgot to study for it.. It's only 4 questions but they count a lot!

Answers

Answer:

C. Transitive property of ≅

Step-by-step explanation:

The statement #5 and #7 give an outcome of the statement #8:

ΔABG ~ ΔACF and ΔACF ~ ΔDCB ⇒ ΔABG ~ ΔDCB

This is called transitive property of congruence:

If one triangle is similar with another two, then the the other two triangles are similar to each other

Correct choice is C

Answer:

C. Transitive property of congruence

Step-by-step explanation:

Transitive property of congruence means, if one pair of lines or angles or triangles are congruent to a third line or angle or triangle, then the first line or angle or triangle is congruent to the third line or angle or triangle.

Exit
Lin wants to bike of a mile. She has already biked of a mile. How much farther does she have to bike?
Simplify your answer.

Answers

She does not have to bike any further as she has met her goal, yet if she wants she can continue

what should be added to -1 to get 5/7
Pls answer thiss

Answers

12/7. -1+x=5/7 solve for x you will get 12/7 hope this helps

Answer:

The answer is 12/7.

Step-by-step explanation:

To get the answer, simply subtract -1 to 5/7

[tex]\frac{5}{7} - (-1)\\[/tex]

Find the least common denominator.

[tex]\frac{5}{7} - (-1) = \frac{5}{7} - \frac{(-7)}{7}[/tex]

= 12/7

To check, add -1 to 12/7.

[tex]\frac{12}{7} + (-1)[/tex]

Find the least common denominator.

[tex]\frac{12}{7} + (-1) = \frac{12}{7} + \frac{(-7)}{7}[/tex]

= 5/7

right answer only plz and thank u

Answers

Answer:

[tex](x-1)^2(x+3)[/tex]

Step-by-step explanation:

For factorization the given expression you can use the Ruffini's rule.

First find the divisors of the independent term (these are the possible rational roots), in the given polynomial the independent term is [tex]3[/tex].

[tex]3 = \{\pm1,\pm3\}[/tex]

Now replace each number in the polynomial

[tex]P(1) = 1^3 + 1^2 - 5(1) + 3 = 0[/tex]

If the result is equal to 0 that's meaning that is a possible root of the polynomial. Then for know if is a root you have to divide the polynomial by [tex](x - \text{possible root})[/tex].

[tex](x^3 + x^2 -5x+3 )/ (x-1)[/tex]

In the first row are the coefficients of the given polynomial.

In the second row are the product between the coefficients and the independent term of the [tex]x-1[/tex].

The third row are the coefficients of the quotient polynomial (except the last that is the remainder).

[tex]\qquad 1\qquad 1\qquad-5\qquad \quad3\\1\qquad\qquad1\qquad \quad 2\qquad-3\\-------------\\ 0 \ \ \quad1 \qquad 2 \qquad -3 \qquad \quad 0[/tex]

Because the last term is the remainder and it's 0 you can factorizate [tex](x-1)[/tex] and the quotient polynomial is equal to

[tex]x^2 + 2x -3[/tex]

So our current expression is [tex](x-1)(x^2 + 2x -3)[/tex], however you can factorizate the quotient polynomial in:

[tex]x^2 +sx +rx +rs = x^2 + 3x -x + 3(-1) = (x + 3)(x -1)[/tex]

So the last expression is:

[tex](x-1)(x+3)(x-1) = (x-1)^2(x+3)[/tex]

pls help me i will mark as brilliant​

Answers

Answer:

6

Step-by-step explanation:

[tex]45 \: min = 0.75 \: hour[/tex]

[tex]0.75 * 8 = 6 \: hours[/tex]

Please help
Solve.
(5√5)^−2x+1 = 1/5 ⋅ 125^x−3

Enter your answer in the box. Enter any fraction as a simplified fraction.

Answers

Answer: 125x=0.04x+20

Step-by-step explanation: (5√5)−2x+1=

1

5

(125x)−3

0.008x+1=

1

5

(125x)−3

Step 1: Flip the equation.

1

5

(125x)−3=0.008x+1

Step 2: Add 3 to both sides.

1

5

(125x)−3+3=0.008x+1+3

1

5

(125x)=0.008x+4

Step 3: Divide both sides by 1/5.

1

5

(125x)

1

5

=

0.008x+4

1

5

125x=0.04x+20

The  value of x is 46.

What are Exponents and power?

Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.

The number of times a number is multiplied by itself is defined by the exponent. The power is an expression that displays the same number or factor being multiplied repeatedly.

Given:

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]

ow, using exponents and powers

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 125^{x-3}[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 1/5 * 5 ^{3(x-3)\\[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x - 9 - 1}[/tex]

[tex](5\sqrt{5} )^{-2x+1 }= 5^{3x -10}[/tex]

[tex]5^{3/2(-2x+ 1)}= 5^{3x - 10}[/tex]

[tex]5^{-x+ 3/2}= 5^{3x -10}[/tex]

Now, Comparing

-x+ 3/2 = 3x- 10

-x - 3x = -10 - 3/2

-4x = -23/2

x= 46

Hence, the value of x is 46.

Learn more about Exponents and powers here:

https://brainly.com/question/15722035

#SPJ2

0.98x0.23 what is 0.98 times 0.23?

Answers

Answer:

0.2254

Step-by-step explanation:

multiply using long multuplication

These signs give information about two different towns.
Study these signs carefully. Then, answer the questions and complete the statements
about them below.
Use the drop-down menus to complete each statement.

Answers

Answer:

In which town does the total number have meaning?

Answer: Town B

For Town A, it does not, cannot, does not.

For Town B, does, can, does.

Please take a look at the picture.

Answers

13/12 is the answer

Answer:

[tex]1 \frac{1}{12} [/tex]

Step-by-step explanation:

Question:To find the value of b.

Equation:[tex]b - \frac{7}{4} = - \frac{2}{3} [/tex]Solution :

[tex] = > b - \frac{7}{4} = - \frac{2}{3} [/tex]

[tex] = > b = - \frac{2}{3} + \frac{7}{4} [/tex]

As when -7/4 goes on the other side becomes +7/4

[tex] = > b = \frac{ - 8 + 21}{12} [/tex]

Simplification

[tex] = > b = \frac{13}{12} \: or \: 1 \frac{1}{12} [/tex]

(Ans)

right answers only plz and thank you

Answers

Answer:

letter A

Step-by-step explanation:

3x=0

x=0

x-2=0

x=2

2x+7=0

2x=-7

x=-7/2

Solve the equation for x:
x2 = 196

Answers

Answer: x= 1/196

Step-by-step explanation:

Graph the number on the number line.

Answers

Answer:

Step-by-step explanation:

can u take good picture

What is the answer =2^3(10-7)/3*7?

Answers

The answer is 56
Hope it helps:)

Answer:

the ansewer is 56

Step-by-step explanation:

by appling bodmas rule which means if such type of operation apper in one question we work it step by step first bracket then division next multiplication then addition finaly substruction

2^3(10-7)/3*7(10-7)=32^3(3)/3*73/3=12^3*1*72^3=88*1*7=8*7=56

Use the Chain Rule to express the second derivative of f∘g in terms of the first and second derivatives of f and g.

Answers

The second derivative of the composition between two functions is described by the following expression:

[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex]

Mathematically speaking, a composition between two functions is defined by the following operation:

[tex]f\,\circ\,g\,(x) =f(g(x))[/tex] (1)

By Chain Rule we get the first and second derivatives of the composition:

First derivative

[tex]\frac{d}{dx} (f\,\circ\,g\,(x)) = \frac{df}{dg}\cdot \frac{dg}{dx}[/tex] (2)

Second derivative

[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex] (3)

The second derivative of the composition between two functions is described by the following expression:

[tex]\frac{d^{2}}{dx^{2}} (f\,\circ\,g\,(x)) = \frac{d^{2}f}{dg^{2}}\cdot \frac{dg}{dx} + \frac{df}{dg} \cdot \frac{d^{2}g}{dx^{2}}[/tex]

We kindly invite to check this question on chain rule: https://brainly.com/question/23729337

thanks in advance ill mark brainliest​

Answers

Answer:

x = 10

Step-by-step explanation:

the unmarked angle in the triangle is the supplement to 6x - 7

180 - (6x - 7)

180 - 6x + 7

187 - 6x

The sum of the angles in a triangle is 180

therefor

(2x + 7) + 26 + (187 - 6x) = 180

Combine like terms

-4x + 220 = 180

Subtract 220 from both sides

-4x = -40

divide both sides by -4

x = 10

Please help me ASAP

Answers

Step-by-step explanation:

a= 3×(-2)+3=-6+3=3

b=3×(-1)+3=-3+3=0

c=3×1+3=3+3=6

d=2×3+3=6+3=9

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

a=3, b=0, c=6, d=9

Good work!

Katie is 1.83 m tall. George is 9 cm shorter than Katie. How tall is George?
Give your answer in cm

Answers

Answer:

174 cm

Step-by-step explanation:

1.83 m to cm is 183.

So, 183 cm - 9 cm = 174cm

Hope you understand ^^

Answer:

174 cm

Step-by-step explanation:

1 meter is equal to 100 centimeter so 1.83m times 100 is equal to 183cm. so 183 cm-9cm=174 cm

How much money was invested at 5% annual simple interest for 4 years to earn $2870?

Answers

Answer:

Principal (amount invested) = $14,350

Step-by-step explanation:

Given the simple interest amount of $2,870 earned in 4 years at 5% interest rate:

In order to find the principal amount that was invested, we could use the simple interest formula and isolate the variable, P, algebraically.

I = P × r × t

where:

I = interest earned = $2,870

P  = principal amount invested = ?

r  = interest rate = 5% or 0.05

t = time = 4

Divide both sides by (r × t ) to isolate P :

[tex]\displaystyle\mathsf{\frac{I}{(r\:\times\:t)}\:=\:\frac{P\:\times\:r\:\times\:t}{(r\:\times\:t)}}[/tex]

[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}}[/tex]

Substitute the given values into the formula for P:

[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}\:=\:\frac{2870}{0.05\:\times\:4}}[/tex]

[tex]\displaystyle\mathsf{P\:=\frac{2870}{0.20}=14,350}[/tex]

Therefore, the principal amount invested is $14,350.

What is the value of x?
14(6x−2)=x−2
A)-3
B)2
C)-7
D)-9

Answers

14(6x-2)=x-2

84x-28=x-2

84x-x= 28-2

83x = 26

x = 26/83

there are no corect answer below

ok done. Thank to me :>

7.
V= lwh for w
What’s the explanation

Answers

Answer:

w=[tex]\frac{V}{lh}[/tex]

Step-by-step explanation:

just divide lh from both sides

Anyone able to help with this?

Answers

[tex]W = 23.7°[/tex]

Step-by-step explanation:

The formula given is the statement of Snell's law of refraction. We are given the following:

[tex]I_a = 1.0003[/tex]

[tex]I_w = 1.3[/tex]

[tex]A = 31.5°[/tex]

So we need to find the angle of refraction W. Starting with Snell's law,

[tex]\dfrac{I_w}{I_a} = \dfrac{\sin A}{\sin W} \Rightarrow \sin W = \left(\dfrac{I_a}{I_w}\right)\sin A[/tex]

Plugging in the given values, we get

[tex]\sin W = \left(\dfrac{1.0003}{1.3}\right)\sin{31.5°} = 0.402[/tex]

Solving for the angle W, we then get

[tex]W = \sin^{-1}(0.402) = 23.7°[/tex]

can anyone solve this step by step for me​

Answers

Answer:

0.5 ㏑ | 1-2x | +c

Step-by-step explanation:

Formula:  ∫ 1/ax+b dx = 1/a ln Iax+bI +c

Ramon Escalante purchases a digital camera for $399.99 in Omaha Nebraska, where the sales tax rate is 5.75 percent
A. what is the sales tax?
B. what is the total purchase price?​

Answers

Answer:

[tex] \: [/tex]

A. The sales tax will be $ 22.999425

so, the sales tax » $ 23

5.75 % of $ 399.99

B. The Total Purchase will be →

$ ( 399.99 + 22.999425 ) $ 422.989425

or

$(23 + 399.99)

$ 422.99

HELP ME PLEASE !!!!!!!!

Answers

the picture is black and i can’t see the question, maybe reupload the question??

What is 20% of $1575.00

Answers

step:

20% = 20/100

of = ×

20/100 × $1575.00

answer : $315

Step:

20% = 20/100

of = ×

20/100 × $1575.00

Answer : $315

A single card is drawn at random from a standard 52 card deck. Work out the following probabilities in their simplest form: P(4)= P(not 4)=​

Answers

Answer:

Step-by-step explanation:

Total Number of possible outcomes = 52

Getting a jack from a deck of 52 cards for a certain event (A) = 4

The Probability (A) = 4/ 52

= 1 / 13 = 0.07

Hope you like it please mark as brainliest.

you have to estimate I need help please ​

Answers

The actual answer is 28,350
Other Questions
in what year did the presidential turkey pardoning first begin With respect to group phenomena, reduced self-awareness is to increased arousal as _____ is to ______. Please choose the correct answer from the following choices, and then select the submit answer button. deindividuation; social loafing social loafing; deindividuation social facilitation; social loafing deindividuation; social facilitation What is "o"? will get 15 points for correct answer. PLEASE HELP! A. What kind of weather is associated with a low-pressure area? B. What happens to the air of the low pressure areas that leads to this type of weather? 5.) Which is the best deal? *$25 for 5 pizzas$32.48 for 7 pizza$27.45 for 3 pizzas$28.74 for 4 pizzas True or false: Adams, Inc. has found that their managers are reluctant to replace old equipment with new, updated equipment. To stop this practice, Adams should compute ROI using assets' net book values. Consider the pattern 24, 33, 42, 51, . What will the 10th term be? Write an editorialencouraging about vaccinationagainst the virus todayPls help need it badly and pls answer it properly __________ refers to any act that someone performs in order to benefit another person. Prosocial behavior Altruism Kin selection Empathy A train has an odd number of cars. The number of cars Is greater than 1 and less than 9 Read the following poem and answer the question that follows."O Captain! my Captain!" by Walt WhitmanO Captain! my Captain! our fearful trip is done;The ship has weather'd every rack, the prize we sought is won;The port is near, the bells I hear, the people all exulting,While follow eyes the steady keel, the vessel grim and daring:But O heart! heart! heart!O the bleeding drops of red,Where on the deck my Captain lies,Fallen cold and dead.O Captain! my Captain! rise up and hear the bells;Rise upfor you the flag is flungfor you the bugle trills;For you bouquets and ribbon'd wreathsfor you the shores acrowding;For you they call, the swaying mass, their eager faces turning;Here Captain! dear father!This arm beneath your head;It is some dream that on the deck,You've fallen cold and dead.My Captain does not answer, his lips are pale and still;My father does not feel my arm, he has no pulse nor will;The ship is anchor'd safe and sound, its voyage closed and done;From fearful trip, the victor ship, comes in with object won;Exult, O shores, and ring, O bells!But I, with mournful tread,Walk the deck my Captain lies,Fallen cold and dead.Examine the imagery in the stanza in bold. What is the significance of the two different images?A. The poet is trying to show that there are people mourning, but they do not feel the excitement of the speaker. B.The poet is trying to show that there are people celebrating, but they do not feel the pain of the speaker. C.The poet is trying to show that he and his captain are happy, but the rest of the world does not understand. D.The poet is trying to show that he and his captain did not agree with war, but the rest of the world wants it. What is the decimal multiplier to increase by 1.5 pls do the step by step explanation ineed help Help me please!! it's due today solve x. 24-8x=-16 and have a bless day how can i get over my social medias getting deleted without my wanting to/permission lol i dont wanna be so annoyed by it i just wanna let it go but its a little difficult Which of these statements is true about text superimposed over a photograph on aslide?It should never be done.It should always be done.It should have high color contrast.O It should have low color contrast. unicorn a is 4 times older than unicorn b.The sum of their ages is 1.450. Which of the following sentences contains the correct usage for virtuosity? a. The virtuosity of the animals was expressed in their gait. B. The musicians showed extreme virtuosity in their range. C. The virtuosity of the figures in the painting gave it a heavenly appearance. Please select the best answer from the choices provided A B C. In gargantua and pantagruel, Francois Rabelais ____.A. Described a fictional ideal societyB. Explained how rulers get and keep powerC. Outlined the principles of a liberal education D. Satirized political and social problems Write an editorialencouraging about vaccinationagainst the virus todayPls help need it badly and pls answer it properly