9514 1404 393
Answer:
1 marble
Step-by-step explanation:
The volume of steel is ...
V = LWH
V = (30 cm)(20 cm)(10 cm) = 6000 cm³
The volume of a marble is ...
V = (4/3)πr³ = (4/3)π(11.273 cm)³ = 6000 cm³
The block of steel will make 1 marble.
Answer:
The table and equation have the same slope
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
Step 1
Find the slope of the table
we have
Substitute the values
Step 2
Find the slope of the equation
we have
------> the equation represent a linear direct variation
The slope is equal to 
therefore
The table and equation have the same slope
Let x be total amount of money
dress: 40% of x = 0.4x
left: x - 0.4x = 0.6x
shoes: 1/5x 0.6x = 0.12x
left: 0.6x - 0.12x = 0.48x
donate: $60
$132 left over
0.48x - 60 = 132
solve for x:
0.48 - 60 = 132
0.48x = 192
x = $400
9514 1404 393
Answer:
945x^3·y^16
Step-by-step explanation:
The 5th term will be ...
C(7,4)(3x)^3(y^4)^4 = 35·27·x^3·y^(4·4)
= 945x^3·y^16
_____
The coefficients of the expansion are C(n, k) where n is the exponent of the binomial, and k+1 is the term number. This is n!/(k!(n-k)!). The general (k-th) term of the expansion (a+b)^n is C(n, k)a^(n-k)b^(k) where k ranges from 0 to n.
