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Katarina [22]
2 years ago
10

fresh+cranberries+have+99%+of+water.+partially+dried+cranberries+have+98%+of+water.+jack+picked+100+pounds+of+cranberries.+how+m

uch+will+they+weight+after+drying?
Mathematics
1 answer:
Mnenie [13.5K]2 years ago
8 0

Answer:

  50 lb

Step-by-step explanation:

Before drying, the cranberries have ...

  (100% -99%)(100 lb) = 1 lb

of "meat."

After drying, that represents (100% -98%) = 2% of the total weight. Then the total weight is ...

  1 lb = 2%·x

  x = (1 lb)/0.02 = 50 lb

The dried cranberries will weigh 50 lb.

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Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is
kodGreya [7K]

We're looking for a scalar function f(x,y) such that \nabla f(x,y)=\vec F(x,y). That is,

\dfrac{\partial f}{\partial x}=2x-6y

\dfrac{\partial f}{\partial y}=-6x+6y-7

Integrate the first equation with respect to x:

f(x,y)=x^2-6xy+g(y)

Differentiate with respect to y:

-6x+6y-7=-6x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=6y-7

Integrate with respect to y:

g(y)=3y^2-7y+C

So \vec F is indeed conservative with the scalar potential function

f(x,y)=x^2-6xy+3y^2-7y+C

where C is an arbitrary constant.

6 0
3 years ago
Given the points (3, 0) and (-1, -3), which of the statements below is true?
nalin [4]
Answer:
We know the x-intercept only

Explanation:
To answer this equation, we need to go through the options individually and use both points to determine if they are true or false.

• Option 1 - False
According to the the first point given, we know the x-intercept is (3, 0).

• Option 2 - True
We only know the x-intercept. It is (3, 0) which is the first point given. We do not know the y-intercept.

• Option 3 - False
We do not know the y-intercept. We only know the x-intercept. In order to know the y-intercept the second point given must include a zero as the x point. The second point give does not include a zero. It is (-1, -3).

• Option 4 - False
We do not know the y-intercept
8 0
4 years ago
A bicycle tire is 28 inches in diameter.Approximately how far does the bicycle move forward each time the wheel goes around?(use
Debora [2.8K]

Answer:

88 Inches

Step-by-step explanation:

For any bicycle tire of a given diameter, the approximate distance moved by the bicycle each time the wheel goes around is determined by the circumference of the circular wheel.

Since the diameter =28 Inches

Circumference =\pi d =\frac{22}{7}X28 =88$ Inches

The bicycle moves 88 Inches forward each time the wheel goes around.

4 0
4 years ago
Find the area of this composite figure step by step
xenn [34]

Step-by-step explanation:

areas of the figure = 130.25 ft ².

plz mark my answer as brainlist plzzzz vote me also.

<em>hope </em><em>this</em><em> will</em><em> be</em><em> helpful</em><em> to</em><em> you</em><em> </em><em> </em><em>.</em>

4 0
3 years ago
Read 2 more answers
Please help:)<br><br> See pic attached
Lostsunrise [7]

Answer:

Adults: 75, girls: 100, Boys: 75

Step-by-step explanation:

2/5 x 250 = 100( girls)

3/10 x 250 = 75 (boys)

250 - (100 + 75) = 250 - 175 = 75 (Adults)

5 0
3 years ago
Read 2 more answers
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