Answer:
False
True
True
Step-by-step explanation:
Multiplying add exponents
Divide subtract exponents
Exponent multiply exponents
Answer: a) The figure can be reasonably divided into two geometries:
• a rectangular prism
• a hemisphere.
b) The volume of the rectangular prism is given by
V = lwh
V = (10 cm)(5 cm)(4 cm) = 200 cm³
The volume of the hemisphere is given by
V = (2π/3)r³
V = (2π/3)(3 cm)³ = 18π cm³
c) The total volume of the figure is
total volume = (prism volume) + (hemisphere volume)
V = 200 cm³ + 18π cm³
V ≈ 256.549 cm³
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given the information:
- A'B'C' reflection over x = −1
- dilation by a scale factor of 4 from the origin
<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so A″B″C″ is 4 time bigger than ABC
=> the relationship between ΔABC and ΔA″B″C″
= 
We choose C.
Hope it will find you well.
Answer: v = -3
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Work Shown:

As you can see, we don't square both sides until the square root portion is fully isolated or on its own side. So it happens after we subtract 1 from both sides.
Technically, you are able to square both sides without first isolating the square root. But that would mean you'd have to use the FOIL rule and things would get a bit messier than they have to be. Not to mention that the square root term wouldn't fully go away (so you'd have to square again later down the line).
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Checking the answer:
Replace every copy of v with -3. Simplify both sides. We should end up with the same number on each side

The answer is confirmed.
Answer:
B
Step-by-step explanation:
let X represent the smaller paintings and Y represent the larger paintings
since she bought 8 paintings
X+Y=8
She bought all the eight paintings for $230 and X is worth 25 while Y is worth 40
25×X+40×Y=230
25X+40Y=230