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prisoha [69]
2 years ago
15

5. Alexis has $95. She has 2 more five-dollar bills, 5 more one-dollar bills, and 2 more

Mathematics
1 answer:
Jet001 [13]2 years ago
7 0

Answer:

60

Step-by-step explanation:

:)) tht should b right

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Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 = 36.
rewona [7]

Answer:

Step-by-step explanation:

From the given information:

The domain D of integration in polar coordinates can be represented by:

D = {(r,θ)| 0 ≤ r ≤ 6, 0 ≤ θ ≤ 2π) &;

The partial derivates for z = xy can be expressed  as:

y =\dfrac{\partial z}{\partial x} , x = \dfrac{\partial z}{\partial y}

Thus, the area of the surface is as follows:

\iint_D \sqrt{(\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2 +1 }\ dA = \iint_D \sqrt{(y)^2+(x)^2+1 } \ dA

= \iint_D \sqrt{x^2 +y^2 +1 } \ dA

= \int^{2 \pi}_{0} \int^{6}_{0} \ r  \sqrt{r^2 +1 } \ dr \ d \theta

=2 \pi \int^{6}_{0} \ r  \sqrt{r^2 +1 } \ dr

= 2 \pi \begin {bmatrix} \dfrac{1}{3}(r^2 +1) ^{^\dfrac{3}{2}} \end {bmatrix}^6_0

= 2 \pi \times \dfrac{1}{3}  \Bigg [ (37)^{3/2} - 1 \Bigg]

= \dfrac{2 \pi}{3} \Bigg [37 \sqrt{37} -1 \Bigg ]

3 0
2 years ago
2 Cereal comes in two different-sized boxes.
frosja888 [35]

Answer:

Step-by-step explanation:

Box A is 0.021 dollars per gram

Box B is 0.012 dollars per gram

Box B is cheaper per gram by 0.009 dollars

6 0
3 years ago
Explain how the graph of a quadratic function relates to the solutions of the related quadratic equation.
OleMash [197]

Answer:

The zeros of a quadratic function are the solutions of the related quadratic equation. If the graph of a quadratic function crosses the x-axis, there will be two real number solutions. If the graph of a quadratic function just touches the x-axis, there will be one unique real number, or double root, solution. If the graph of a quadratic function does not cross the x-axis, there will be no real number solution.

Step-by-step explanation:

Did the question.

8 0
2 years ago
Als 3. Determine ir 12:16 and<br> d 72:96 are equivalent ratios.
Gnoma [55]

Answer:

YES

Step-by-step explanation:

I'll start with 72/12

= 6

6 is does not have any decimals,

Therefore YES

5 0
2 years ago
QUÉ ES EL BASTA NUMÉRICO
Lemur [1.5K]

Answer:

relating to or expressed as a number or numbers.

Step-by-step explanation:

8 0
2 years ago
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