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GrogVix [38]
3 years ago
13

Prajna is listing squares of two-digit numbers in such a way that the digit in their units place is 6.

Mathematics
1 answer:
dem82 [27]3 years ago
6 0

Answer:

2 (option B)

Question:

Prajna is listing squares of two-digit numbers in such a way that the digit in their units place is 6.

How many numbers should he have listed?

a) 9 b) 2 c)18 d) 20

Step-by-step explanation:

We would find the perfect squares that are two digit numbers

For two digit perfect squares:

Largest two digit number= 81 = 9²

Smallest two digit number= 16 = 4²

Total Two digit number perfect squares = Highest number - lowest number + 1

= 9-4+1 = 6

There are 6 two digit perfect squares

Next, we have to find how many of them have 6 in their units place.

The rule to be applied: If a number has 4 or 6 in the unit place, then its square has 6 in the units place.

Following this, the possibilities are 4², 6².

We have two of such numbers.

Therefore, he would have listed 2 numbers.

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Help ASAP please thanks
andrew-mc [135]

Answer:

#1: -2 ≤ y ≤ ∞

#2: -2 ≤ x ≤ 2

#3: -4 ≤ y ≤ 3

#4: -5 ≤ y ≤ ∞

#5: 0 ≤ x ≤ ∞

Step-by-step explanation:

To do these, you must understand what range and domain are:

Range: all the values that y can be

Domain: all the values that x can be

#1: It's asking for range, so look at the posible y values. The smallest y value is -2, and the largest is actually infinity. So, the range is: -2 ≤ y ≤ ∞.

#2: It's asking for domain, so look at the possible x values. The smallest is -2 and the largest is 2, so: -2 ≤ x ≤ 2.

#3: Again, it's asking for range, so look at the possible y values. The smallest is -4, and the largest is 3, so: -4 ≤ y ≤ 3.

#4: It's asking for range. The smallest value is -5, and the largest goes to infinity (from the arrows), so: -5 ≤ y ≤ ∞.

#5: It's asking for domain. The smallest x value is 0, and it goes to infinity. So: 0 ≤ x ≤ ∞.

6 0
3 years ago
Read 2 more answers
99 Points.
kvasek [131]

The product of the sum of two perfect cubes:

a³ + b³ = (a + b)(a² - ab + b²)

The product of the difference of two perfect cubes:

a³ - b³ = (a - b)(a² + ab + b²)

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

Remember to follow FOIL:

(b^2 + 8)(b^2 - 8)

(b^2)(b^2) = b^4

(b^2)(-8) = -8b^2

(8)(b^2) = 8b^2

(8)(-8) = -64

b^4 - 8b^2 + 8b^2 - 64

Combine like terms:

b^4 (-8b^2 + 8b^2) - 64

b^4 - 64

b^4 - 64 is your answer

hope this helps

6 0
4 years ago
Read 2 more answers
Ead each scenario below. Determine if the situation is prop
OleMash [197]
Y=x+10
y is the total cost
x is the number of toppings times $1
10 is the cost of the pizza
5 0
3 years ago
TIMED TEST PLEASE HELP ME!!!!
s2008m [1.1K]

Answer:

16 cm^2

Step-by-step explanation:

Hope this helps

6 0
3 years ago
The local dairy farm has 3.7×10^3 cows and each cow produces 2.6×10^3 gallons of milk each year. How many gallons are produced a
Nadusha1986 [10]

Answer:

96.2*10^5 gallons

Step-by-step explanation:

gallons of milk produced by 1 cow = 2.6×10^3

No. of cows with local dairy farm =  3.7×10^3

Total of gallons of milk produced by farm = gallons of milk produced by 1 cow * No. of cows with local dairy farm  = 2.6×10^3 * 3.7×10^3 = 9.62*10^6

we have to write it in standard form = 96.2*10^5 gallons

i can be also written as = 9,620,000 Gallons.

9.62 Million Gallons of milk is produced by local dairy farm Yearly.

8 0
3 years ago
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