<h3>(2-1) + 3² ÷ 3.</h3>
<em>To divide powers with the same base, subtract the exponent in the denominator from the exponent in the numerator. Subtract 1 from 2 to get 1.</em>
<h3>2 − 1 + 3¹</h3>
<em>Subtract 1 from 2 to get 1.</em>
<h3>1 + 3¹</h3>
<em>Calculates 3 to the power of 1 and gets 3.</em>
<h3>1 + 3</h3>
<em>Add 1 and 3 to get 4.</em>
<h3>4</h3>
The correct option is Alternative "C".
Answer:
u² + 2u + <u>1</u>
Step-by-step explanation:
In the question it's asking to find the the number in the blank to make the expression a perfect square.
Let the number in the blank be 'x'.
To guess 'x' , use the algebraic identity :- 
While matching the expression with identity , the expression will look like this :- <em>u² + 2ux + </em><u><em>x²</em></u>
In the expression given in the question , it's "2u" but after matching the expression with identity , it is found to be "2ux".
⇒ x = 1 (∵ If x will be 1 , then 2ux = 2×u×1 = 2u)
⇒ <u>x²</u> = <u>1</u>
∴ The number in the blank is 1.
Answer: 15 16 17
Step-by-step explanation: Add them together and you should get 48
Ok so there is a kinda simple way to do this and that is by dividing when you divide you get 450.826... so the fan spins about 450 times hope that this helps you
Answer:
Base= 5.09 cm x 5.09 cm; height = 1.69 cm
Step-by-step explanation:
-> materials has a square base of side length, dimension will be: x . x = x²
'y' represents height
->For dimensions of 4 silver plated sides= xy each
->dimensions of the nickel plated top= x²
Volume = yx²
44=yx² => y= 44/x²
Cost of the sides will be( 4 * xy * $3 )
Cost of the top and the bottom will be (2 * x² * $1)
For the Total cost: 12xy + 2x²
substituting value of 'y' in above equation,
=> Total cost = 12x (44/x²) + 2x² = 528 / x + 2x²
To Minimum critical point => d [cost] / dx = 0
=> - 528/x² + 4x =0
132/x² - x =0
132 - x³ = 0
x³ = 132
Taking cube root on both sides
∛x³ = ∛(132)
x= 5.09
=> y = 44/5.09² =>1.69
Dimensions of the box :
Base= 5.09 cm x 5.09 cm; height = 1.69 cm
