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Elena-2011 [213]
3 years ago
9

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is

55% salt and Solution B is 80%
salt. She wants to obtain 30 ounces of a mixture that is 65% salt. How many ounces of each solution should she use?
Mathematics
1 answer:
Afina-wow [57]3 years ago
3 0
Solution B is the one she should use
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Suppose that the Celsius temperature at the point (x, y) in the xy-plane is T(x, y) = x sin 2y and that distance in the xy-plane
liraira [26]

Missing information:

How fast is the temperature experienced by the particle changing in degrees Celsius per meter at the point

P = (\frac{1}{2}, \frac{\sqrt 3}{2})

Answer:

Rate = 0.935042^\circ /cm

Step-by-step explanation:

Given

P = (\frac{1}{2}, \frac{\sqrt 3}{2})

T(x,y) =x\sin2y

r = 1m

v = 2m/s

Express the given point P as a unit tangent vector:

P = (\frac{1}{2}, \frac{\sqrt 3}{2})

u = \frac{\sqrt 3}{2}i - \frac{1}{2}j

Next, find the gradient of P and T using: \triangle T = \nabla T * u

Where

\nabla T|_{(\frac{1}{2}, \frac{\sqrt 3}{2})}  = (sin \sqrt 3)i + (cos \sqrt 3)j

So: the gradient becomes:

\triangle T = \nabla T * u

\triangle T = [(sin \sqrt 3)i + (cos \sqrt 3)j] *  [\frac{\sqrt 3}{2}i - \frac{1}{2}j]

By vector multiplication, we have:

\triangle T = (sin \sqrt 3)*  \frac{\sqrt 3}{2} - (cos \sqrt 3)  \frac{1}{2}

\triangle T = 0.9870 * 0.8660 - (-0.1606 * 0.5)

\triangle T = 0.9870 * 0.8660 +0.1606 * 0.5

\triangle T = 0.935042

Hence, the rate is:

Rate = \triangle T = 0.935042^\circ /cm

3 0
2 years ago
Answer Choices:
algol [13]
The best answer to go with is b
5 0
2 years ago
You may be big, but you ain't bad. THE BOULDER is gonna win this, by a LANDSLIDE.
yanalaym [24]

Answer:lol

Step-by-step explanation:

hahaha

7 0
3 years ago
Read 2 more answers
1. 43 +2)what is the value of the expression​
Maru [420]

Answer:

45

Step-by-step explanation:

This is the answer because:

1) 43 + 2 equals to 45

Hope this helps!

7 0
2 years ago
Convert the rate 1000 ounces per 2 hours to cups per minutes?
Andrews [41]
125 cups in 120 minutes  (because 1000 oz/8 = 125 cups and  2 hrs is 120 minutes)

\frac{125}{120} = \frac{n}{1}

now reduce the fraction by dividing the numerator and denominator by 5 = (optional)
\frac{25}{24} =  \frac{n}{1}
So 24n = 25  Divide both sides by 24
n= 1  1/24 cups per minute
 

5 0
3 years ago
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