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
weqwewe [10]
3 years ago
10

How many of the numbers from 10 through 97 have the sum of their digits equal to a perfect​ square?

Mathematics
1 answer:
Anarel [89]3 years ago
3 0
Perfect squares are:
1,4,9,16,25,36,49,64,81,100,....

the sum of the digits of our biggest number is 16 so any perfect square bigger than 16 doesn't work for us
1-
1+0=1 so any number containing the digits will work(keep in mind we only will look into whole numbers because digits can't be negative or have fractions or be irrational)
thereful 10 works for our category
2-
0+4=4
1+3=4
2+2=4
22 13 31 and 40 will work two
3-
0+9
1+8
2+7
3+6
4+5
90 18 81 27 72 36 63 45 54
4-
0+16
1+15
2+14
3+13
4+12
5+11
6+10
7+9
8+8
79 97 88

so our set of numbers contain:
10 22 13 31 40 90 18 81 27 72 36 63 45 54 79 97 88
You might be interested in
What is the value of x in the diagram?
cestrela7 [59]

Answer:

x = 5

Step-by-step explanation:

x² + (2x+2)² = (2x+3)²

x² + 4x² + 8x + 4 = 4x² + 12x + 9

x² - 4x - 5 = 0

(x - 5)(x + 1) = 0

x = -1  This can be discounted as the answer because you cannot have a negative length

answer: x = 5

5 0
3 years ago
The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.03t3 + 0.5t2 + 9t + 4. Find S'(t).
mars1129 [50]

Answer:

S(2) = 24.24. This means that in the second month, the company will sell 24.24 millions of dollars in total.

S'(2) = 11.36. This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

d. The total sales 11 months from now will be $203.43 million dollars.

Step-by-step explanation:

The total sales of the company, in millions of dollars is given by the following formula:

S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4

This function has the following derivative, which represents the variation in relation to the previous month.

S'(t) = 0.09t^{2} + t + 9

Find S(2) and S'(2)

S(t) = 0.03t^{3} + 0.5t^{2} + 9t + 4

S(2) = 0.03*(2)^{3} + 0.5*(2)^{2} + 9*2 + 4 = 24.24

S(2) = 24.24. This means that in the second month, the company will sell 24.24 millions of dollars in total.

S'(t) = 0.09t^{2} + t + 9

S'(2) = 0.09*2^{2} + 2 + 9 = 11.36

S'(2) = 11.36. This means that in the second month the total sales will increase in 11.36 millions of dollars from the previous month.

Choose the correct interpretation of S(11)=203.43.

S represents total sales, and S(11) is the total sales 11 months from now.

So the correct answer is:

d. The total sales 11 months from now will be $203.43 million dollars.

7 0
3 years ago
Rectangular prism is 5.9 millimeters wide and 20 millimeters high. Its surface area is 733.28 square millimeters. What is the le
Ray Of Light [21]

Answer:

The the length of the rectangular prism is 6.64 mm

Step-by-step explanation:

knowing the surface area of the rectangular prism is the sum up of all areas of the prisma we have

(20 * 5.9)*2 + (20*X)*2 + (5.9*X)*2 = 733.28  

236 + 40X + 34.81X = 733.28

X = 6.64 mm

7 0
3 years ago
How do you write “twice a number less than 3 is 17” as an equation?
ki77a [65]

Answer:

2 x 3 < 17

Step-by-step explanation:

Greater than and/or less than step by step equasion.

4 0
3 years ago
Boat travel 27 miles in two hours how many miles travel in 1/2 hours
Sloan [31]

Answer:

6.75

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • What is the maturity value of a single-
    6·1 answer
  • 12 to x and 4 to 117
    13·1 answer
  • A right triangle has leg lengths 8 and x. The hypotenuse length is (x + 2). What is the length of the hypotenuse?
    6·1 answer
  • Use diagram to answer 3(x+6)=30
    15·2 answers
  • A listing posted by a restaurant chain gives, for each of the sandwiches it sells, the types of fillings for the sandwiches, num
    13·1 answer
  • Pls…… HELPPPP I have no clue what I’m doing
    7·1 answer
  • The scatter plot below shows the relationship between two variables, x and y. Which line best fits the data? У 30 25 20 15 10 5
    9·1 answer
  • Michelle's father deposited $1,000 into a savings account when she was born. The annual interest rate is
    13·1 answer
  • A set of pens sells for $6.25 and costs $3.50 to make. Forty-two percent of the profit (the difference between the purchase pric
    11·2 answers
  • I need help please help me.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!