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BabaBlast
6 days ago
11

Which of the following are terms in the sum of the given polynomials? 3x2,-2x2y, 2xy2, 4y2, xy2, -y2,2x2y

Mathematics
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On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any
zzz [12365]
According to the rule of 72,
72/rate=time
72÷9.6=7.5 years

An alternative method for resolution using the main formula
2300=1150(1+0.096/4)^4t
Isolate t
t=((log(2,300÷1,150)÷log(1+(0.096÷4))÷4))=7.31 years

I hope this is helpful:-)
7 0
3 months ago
Read 2 more answers
If the volume of a cube is increased by a factor of 10, by what factor does the surface area per unit volume change
tester [12383]

Answer:

  (1/10)∛100 ≈ 0.4642

Step-by-step explanation:

For a cubic shape with volume V, the edge length is defined as...

  s = ∛V

and the surface area is given by...

  A = 6s² = 6V^(2/3)

The area-to-volume ratio is therefore...

  r1 = A/V = 6V^(2/3)/V = 6V^(-1/3)

When the volume V is increased by a factor of 10, the new area-to-volume ratio becomes...

  r2 = 6(10V)^(-1/3)

Consequently, the change factor for the ratio is...

  r2/r1 = (6(10V)^(-1/3))/(6V^(-1/3)) = 10^(-1/3) = (1/10)∛100

The change in surface area per unit volume results in a factor of (∛100)/10.

___

Example

For a cube with side length 2, the corresponding volume equals 2³ = 8, with a surface area of 6·2² = 24. The resulting area-to-volume ratio is 24/8 = 3.

<pif we="" multiply="" the="" edge="" length="" by="" new="" volume="" equals="" and="" surface="" area="" equates="" to="" so="" area-to-volume="" ratio="" becomes...="">

The area-to-volume ratio changed by a factor of (0.3∛100)/3 = (∛100)/10, as previously noted.

</pif>
8 0
2 months ago
Solve h=vt-gt^2, for v
PIT_PIT [12445]

Answer:

  v=\dfrac{h+gt^2}{t}

Step-by-step explanation:

To solve for v, reverse the operations performed on it, starting with the equation provided. Here, v is affected by:

  • being multiplied by t
  • subtracting gt^2 from the result

To start, we first need to add gt^2 back to the equation to counteract the subtraction:

  h + gt^2 = vt

Next, we undo the multiplication by dividing the entire expression by the coefficient of v:

  (h + gt^2)/t = v

3 0
3 months ago
Read 2 more answers
The weights of bags of raisins are normally distributed with a mean of 175 grams and a standard deviation of 11 grams. Bags in t
PIT_PIT [12445]
its 67
7 0
2 months ago
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