Answer: Correct two digit number= 24
Step-by-step explanation:
Let
x= tens digit (wrong one)
and y= zeroes digit
and z= tens digit (right one)
Now according to the statement,
(10x+y)² - (10z+y)² = 2340
Simplifying this we get
(x-z)(5x+y+5z)= 117= 1 * 3 * 3 * 13
So it could either be
x-z=1 or x-z=3
If we take the x-z=1
then 5x+y+5z=117
which is not possible as maximum value we can get from this is 99.
This leaves us with x-z=3
so 5x+y+5z= 39
Put x=3+z
We get,
y+10z= 24
Now as y and z both are single digits so the only possible numbers to fit these are y=4 and z=2.
Put z=2 in x=3+z , we get x=5
So the numbers become 10x+y= 54
and 10z+y= 24
Their sum is 54+24=78
Check
54²-24²= 2340 so it is correct.
The mean sustained wind velocity has the equation:
v = 6.3 √(1013 - p)
If we are given with the mean sustained wind velocity of 64 m/s, then we can solve for the air pressure using the equation:
64 = 6.3 √(1013 - p)
64/6.3 = √(1013 - p)
10.1587² = 1013 - p
p = 910 millibars
hope this helps!!!!!!!!!!!!
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Polygon X is similar to polygon.
And Polygon X is three times the size of polygon Y.
So, it becomes,

Hence, perimeter of polygon Y is 27.
Therefore, Option 'C' is correct.
Answer:
(4 * 5)^3 ;
8000
Step-by-step explanation:
Andre's statement :
Multiply 4 by 5 = 4 * 5 = 20
Cube the result = 20³
The equal expression from the option :
A.) (4 * 5)^3
Also, (4 * 5)^3 = 20^3 = 20 * 20 *20 = 8000
Answer:
1. f(4) or f(n)= 28
2. f(-2) or f(n)= -2
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Step-by-step explanation:
n=4 n=-2
f(n)= 5(n)+8 f(n)= 5(n)+8
f(n)= 5(4)+8 f(n)= 5(-2)+8
(n)= 20+8 f(n)= -10+8
f(n)=28 f(n)=-2