Answer:
-13x+10
Step-by-step explanation:
(4x+5)(x-2)
Multiply each term in the first parenthesis by each term in the second (foil)
Step 1: Expand it by writing out each multiplication. I added a picture showing which order to do it. (go in order of green, red, blue, yellow.) (you can remember this as first, outside, inside, last.)
When you expand it'll look like: 4x⋅x+4x⋅-2-5x-5⋅-2
Step 2: Calculate product
4x⋅x+4x⋅-2-5x-5⋅-2 (for the 4x⋅x it would be written like )
+4x⋅-2-5x-5⋅-2
+4x⋅-2-5x-5⋅-2 (4x⋅-2 becomes -8x) (multiply 4x times -2)
-8x-5x-5⋅-2
-8x-5x-5⋅-2 (-5⋅-2 becomes +10) (multiply -5 times -2)
-8x-5x+10
Step 3: collect like terms
-8x-5x+10 (-8x-5x becomes -13x) (-8x times -5x)
-13x+10 is the most simplified so it should be your final answer
Answer:
1. 1.96 g/L
2. 1 g/cm³
Step-by-step explanation:
Density is found by dividing mass by volume: d = m/v.
1.
We know that the mass is 0.196 grams, while the volume is 100 mL.
Converting the volume to liters, we get:
100 mL = 0.1 L
Then, applying our density formula:
d = m/v
d = 0.196 g / 0.1 L = 1.96 g/L
2.
Here, we know that the mass is 27 grams. However, we don't know the volume, which we need to find.
The block of wood is 3 cm on all sides, which means it's a cube. The volume of a cube is denoted by V = s³, where s is the side length. Here, s = 3, so V = s³ = 3³ = 27 cm³.
Applying our density formula gives:
d = m/v
d = 27 g / 27 cm³ = 1 g/cm³
<em>~ an aesthetics lover</em>
Answer:
number of periods per year m, times the number of periods n: simple interest amount = principal amount × (rate / m) × n.
Step-by-step explanation:
Answer: Add the equations to eliminate k
Step-by-step explanation:
Adding the equations, you get 2b=18, which you can solve for b. Afterward, you can substitute this value of b back into either equation to solve for k.
7.44-6.26=1.18
1.18 in minutes is 78 minutes bc 1 hour is 60 minutes + 18 minutes is 78
Hope this helps :D
