Answer:
Step-by-step explanation:
a)
428721
Place of 2's 10s and 10,000s
Therefore its value is 20 and 20,000
Product of the place value = 20 x 20,000 = 4,00,000
b)
37,20,861
Place of 7 is 1,00,000
Therefore the place value is 7,00,000
c)
Greatest 7 digit number is 99,99,999
Adding 1 to it = 99,99,999 + 1 = 1,00,00,000
d)
85642 = 80000 + 5000 + 600 + 40 +2
e)
round off 85642 to nearest thousand = 86,000
You use distributive property. So (5 x 2)-(5 x x)= 10 - 5x.
The equation in spherical coordinates will be a constant, as we are describing a spherical shell.
r(φ, θ) = 8 units.
<h3>
How to rewrite the equation in spherical coordinates?</h3>
The equation:
x^2 + y^2 + z^2 = R^2
Defines a sphere of radius R.
Then the equation:
x^2 + y^2 + z^2 = 64
Defines a sphere of radius √64 = 8.
Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:
r(φ, θ) = 8 units.
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
Answer:
Price of the adult ticket is $13
Price of the child ticket is $3
Step-by-step explanation:
Lets x be the adult ticket and y be the child ticket.
Given:
School sold 14 adult tickets and 14 child tickets for a total of $224, so the first equation is.
-------------(1)
And the school took in $44 on the second day by selling 2 adult tickets and 6 child tickets, so the second equation is.
---------------(2)
We find the price of an adult ticket and the price of a child ticket by solving above system of equation.
Now, equation 2 multiplied by 7.
---------(3)
Now, equation 1 subtracted by equation 3.
-______________
14x is cancelled in both equations, so we get the equation.
y = 3
Now, we substitute y = 3 in equation 2.
x = 13
Therefore, the price of the adult ticket is $13 and the price of the child ticket is $3.
Answer:
y = -1/3x -3
Step-by-step explanation:
-2x - 6y = 18
We want to solve for y since the slope intercept form is y =mx+b where m is the slope and b is the y intercept
Add 2x to each side
-2x-6y +2x = 2x+18
-6y = 2x+18
Divide each side by -6
-6y/-6 = 2x/-6 + 18/-6
y = -1/3x -3
This is in slope intercept form with the slope -1/3 and the y intercept -3
