The value of the product expression is –6p^3 + 8p^2 – 10p
<h3>How to simplify the product?</h3>
The product expression is given as:
2p(–3p2 + 4p – 5)
Rewrite properly as:
2p(–3p^2 + 4p – 5)
Remove the bracket
2p * –3p^2 + 2p * 4p – 2p * 5
Evaluate the products
–6p^3 + 8p^2 – 10p
Hence, the value of the product expression is –6p^3 + 8p^2 – 10p
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Answer:
The area of the rectangle is 40 and the area is the triangle is 20 therefore, the area of the shape is 60
Step-by-step explanation:
Rectangle:
8cm x 5cm = 40cm
Triangle <em>(</em><em>1</em><em>/</em><em>2bxh</em><em>)</em>
The base of the triangle would be 8 cm as the top and the bottom of the rectangle is the same width. The height was given to be 5 cm (<em>note the height is the dotted line</em>) Therefore the area of the triangle is half the base which is (8×1/2 = 4) times the height (5); which is 20.
Answer:
46 units^2
Step-by-step explanation:
The formula for surface area of a rectangular prism is
SA = 2(lw +lh+wh) where l is length, w is width and h is height
SA = 2 (2.5* 4+ 2.5*2 + 4*2)
= 2 (10+5+8)
= 2( 23)
= 46 units^2
Answer:
6.3%
Step-by-step explanation:
We're gonna use the simple interest formula: A = P(1 + rt)
A = Final amount (500 + 15.75 = 515.75)
P = Starting amount (500)
r = rate (?)
t = number of years (.5 since it's been half a year)
515.75 = 500(1 + 0.5r)
Disitribute the 500 to the equation inside the parenthesis
515.75 = 500 + 250r
Subtract 500 from both sides
515.75 = 500 + 250r
- 500 - 500
15.75 = 250r
Divide both sides by 250
15.75/250 = 250r/250
r = 0.063
B is the correct answer i think
