1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
allsm [11]
3 years ago
5

What is the sum of all of the perfect squares between

Mathematics
1 answer:
Nonamiya [84]3 years ago
7 0

Answer:

(-138) is the answer.

Step-by-step explanation:

Perfect square numbers between 15 and 25 inclusive are 16 and 25.

Sum of perfect square numbers 16 and 25 = 16 + 25 = 41

Sum of the remaining numbers between 15 and 25 inclusive means sum of the numbers from 17 to 24 plus 15.

Since sum of an arithmetic progression is defined by the expression

S_{n}=\frac{n}{2}[2a+(n-1)d]

Where n = number of terms

a = first term of the sequence

d = common difference

S_{8}=\frac{8}{2} [2\times 17+(8-1)\times 1]

   = 4(34 + 7)

   = 164

Sum of 15 + S_{8} = 15 + 164 = 179

Now the difference between 41 and sum of perfect squares between 15 and 25 inclusive = 41-179

= -138

Therefore, answer is (-138).

You might be interested in
If the equation x^2 + 16x + c = 0 has only one real solution, the value of c must equal
kumpel [21]

If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.

<h3>Discriminant: </h3>

The quadratic formula includes the discriminant, which comes after the square root. The discriminant of a quadratic equation is important because it indicates the quantity and kind of solutions.  

The formula for the Discriminant of a Quadratic Equation ax²+bx +c = 0 is given by

<h3>               Discriminant Δ = b² - 4ac </h3>

Here we have

x² + 16x + c = 0 equation has only one real solution

Compare given equation with ax²+ bx + c = 0

=> a = 1, and b = 16  

As we know when an equation has only one real solution

then its Discriminant will be equal to zero

=> b² - 4ac = 0

By the above values,

=> 16² - 4(1)c = 0  

=> 256 - 4c = 0

=> 4c = 256

=> c = 256/4

=> c = 64

Therefore,

If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.

 

Learn more about Discriminant at

brainly.com/question/15884086

#SPJ1

3 0
1 year ago
Need help on this question for math
KATRIN_1 [288]

Answer:

y=-7

Step-by-step explanation:

hope that will help you

8 0
3 years ago
Help me i beg u plzzzz
Ainat [17]
We can say at month 0 she was 43 inches tall.

And at month 18 she was 52 inches tall.

We can say that x is the number of months and y is her height.

Rise/run
y2-y1/x2-x1
52-43/18-0
9/18
1/2

So the slope is 1/2 (which is what you are looking for.) and if you were to write an equation it would be y=1/2x+43

Brainliest my answer if it helps you out?
5 0
3 years ago
Help me plz I'm stuck
Lelechka [254]
The answer to one would be 25534
3 0
3 years ago
The area of the rectangular floor of a shed is 40 space y d squared. The length of the shed is (x+2) yd and the width of the she
mel-nik [20]

Answer:

x=3

Step-by-step explanation:

3 squared is 9. 9 plus 2 times 2=22 each of the sides on the angle are 11. 22 plus 22= 44. then 3 -1 equals 2. 44 minus 4 equals 40. equaling the area

7 0
3 years ago
Other questions:
  • What is ​ 0.83¯¯¯¯ ​ expressed as a fraction in simplest form?<br> Enter your answer in the box.
    13·2 answers
  • How do you factor out 4v(squared) - 16v + 7?
    10·1 answer
  • The radius of the base of a cylinder is increasing at a rate of 777 millimeters per hour. The height of the cylinder is fixed at
    5·1 answer
  • Salma used a photocopier to dilate the design for a monorail track system. The figure below shows the design and its photocopy:
    5·2 answers
  • <a href="/cdn-cgi/l/email-protection" class="__cf_email__" data-cfemail="ecc2c2c2c2c2c2c2c2c2c2c2ac">[email&#160;protected]</a>@
    15·2 answers
  • . (01.02 HC) Javier has a job installing windows. He earns a rate of $75 per day plus $8 per window installed. He also receives
    10·1 answer
  • Please help me i’m confused
    7·1 answer
  • What is 60% of 60 minutes?
    5·2 answers
  • Help Plzzzz............​
    14·2 answers
  • The sum of two numbers is 22, and their difference is 12. What are the numbers?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!