Answer:
58 in^2
Step-by-step explanation:
The area of one face of the 3" cube is (3 in)^2 = 9 in^2. Then the 6 faces of that will have an area of ...
6·9 in^2 = 54 in^2
The area of the top of the paperweight is unaffected by the area of the added cube: the area the smaller cube covers is exactly the same as its exposed top area. So, the net effect of the added 1" cube is to increase the total area by that cube's lateral area: 4 faces at 1 in^2 for each face, a total of 4 in^2.
Then the total surface area of the paperweight is ...
54 in^2 + 4 in^2 = 58 in^2
The independent events are illustrations of probability, and the value of P(B) is 0.40
<h3>How to determine the value of P(B)?</h3>
The given parameters are:
P(A) = 0.50
P(A and B) = 0.20
Two events A and B are independent, if
P(A and B) = P(A) * P(B)
So, we have:
0.50 * P(B) = 0.20
Divide both sides by 0.50
P(B) = 0.40
Hence, the value of P(B) is 0.40
Read more about probability at:
brainly.com/question/25638875
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Hello from MrBillDoesMath!
Answer:
"The factoring should follow the perfect square trinomial pattern"
Discussion:
y^2 - 2(y)(3) + 3^2 =
(y -3
) ^2
not (y-3) (y+3) so the last step shown is incorrect. The answer is "The factoring should follow the perfect square trinomial pattern"
Thank you,
MrB
Answer:
3
Step-by-step explanation:
The points they have in bold is probably a hint to the problem.
The points they have in bold are (1,2) on curve g which means g(1)=2
and (3,2) on curve f which means f(3)=2.
g(x)=f(kx)
We know g(1)=2 so if we replace the x's with 1, we get:
g(1)=f(k*1)
g(1)=f(k)
2=f(k).
Now we just need to solve f(k)=2 for k.
We know the point (3,2) is on f so f(3)=2.
If you compare:
f(k)=2
and
f(3)=2
then you should see that k=3.