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4vir4ik [10]
3 years ago
13

A blue suit case weighs 10 pounds less than three fourths the weight of a green suitcase.Write an expression that you can use to

find the weight of the blue suitcase.Then explain how you can find the total weight of both suitcases if the green suitcase weighs 36 pounds.
Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0

Answer:

The total weight of both suitcases is 53 pounds.

Step-by-step explanation:

Write an expression that you can use to find the weight of the blue suitcase.

b = 3/4 * g - 10

Then explain how you can find the total weight of both suitcases if the green suitcase weighs 36 pounds.

b + g = 3/4 * g - 10 + g = 7/4 * g - 10 = 7/4 * 36 - 10 = 53 pounds

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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
For number one I put C I wanna know if it’s right lol
nadezda [96]

Answer:

I think your right

hope this helps

have a good day :)

Step-by-step explanation:

6 0
2 years ago
Can someone help me. Please
Alex Ar [27]
The answer for this question is c.
4 0
3 years ago
Jose has 1000$ in his savings account. it pays out 5% interest what is his balance after 1 year
NARA [144]

The most appropriate choice for simple interest will be given by- Balance of Jose after 1 year is $1050

What is simple interest?

Simple interest is the interest applied on the principal value after charging some certain percentage of rate for some certain amount of time.

If the principal value is p, rate is r % per annum and time is t years

Simple interest is calculated as

SI = p ₓ r ₓ t / 100

Here,

Principal for Jose = $1000

Rate = 5%

Time = 1 year

Simple interest = 1000x5x1/100

                         = $50

Amount = $(1000+50)

             = $1050

Balance of Jose after 1 year is $1050

To learn more about simple interest, refer to the link:
brainly.com/question/25793394
#SPJ10

5 0
1 year ago
Distance between (-6,-7) and (-4,-1)
kirill115 [55]

Answer:

i believe it is (3,6) im not 100% sure though

Step-by-step explanation:

4 0
3 years ago
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