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alisha [4.7K]
2 years ago
7

HELP ME !!

Mathematics
1 answer:
lys-0071 [83]2 years ago
8 0

Hi there! Let me know if you have any questions about my answer:

5.6 cm³

Step-by-step explanation:

For this problem, we can assume* that the ham did not have any salt before curing.

The questions tells us:

- The mass of the salt: 12 g

- The density of salt: 2.16 g/cm³

We are looking for:

- The volume of salt

<u>Solve using dimensional analysis, or the "unit cancellation method"</u>:

Write an equation.

V_{salt} = 12g * \frac{1 cm^{3}}{2.16g}        

Notice that the questions includes "cm³" in the units when discussing density. Volume can be given in cm³.

We want to multiply values with their units from the question so that, when the units cancel out, you will only have cm³ left.

In this equation set-up, "g" will cancel out because one is in the numerator (top number) and another is in the denominator (bottom number).

= \frac{12g*1 cm^{3}}{2.16g}          Both "g" units cancel out

= \frac{12*1 cm^{3}}{2.16}           Multiply 12 and 1 in the numerator

= \frac{12 cm^{3}}{2.16}              Divide 12 by 2.16 and keep the cm³ units

= 5.55... cm^{3}       Keep one extra digit** to help you round. The 5 in the middle rounds to 6.

= 5.6 cm^{3}            Final answer

*The ham is here to confuse you. The question doesn't give us enough information about the ham. We don't know how much ham there is, and we don't know how much salt was in the ham originally.

**12 has 2 significant figures. 2.16 has 3 significant figures. Since you're multiplying or dividing them together, you want the answer to round to 2 significant figures. Learn more about significant figures here: brainly.com/question/14463143

I hope this helps! Learn about another solution method, the density formula, here:

brainly.com/question/952755

brainly.com/question/11845282

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Answer:

case a) x^{2}=3y ----> open up

case b) x^{2}=-10y ----> open down

case c) y^{2}=-2x ----> open left

case d) y^{2}=6x ----> open right

Step-by-step explanation:

we know that

1) The general equation of a vertical parabola is equal to

y=a(x-h)^{2}+k

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open upward and the vertex is a minimum

If a<0 ----> the parabola open downward and the vertex is a maximum

2) The general equation of a horizontal parabola is equal to

x=a(y-k)^{2}+h

where

a is a coefficient

(h,k) is the vertex

If a>0 ----> the parabola open to the right

If a<0 ----> the parabola open to the left

Verify each case

case a) we have

x^{2}=3y

so

y=(1/3)x^{2}

a=(1/3)

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a>0

therefore

The parabola open up

case b) we have

x^{2}=-10y

so

y=-(1/10)x^{2}

a=-(1/10)

a

therefore

The parabola open down

case c) we have

y^{2}=-2x

so

x=-(1/2)y^{2}

a=-(1/2)

a

therefore

The parabola open to the left

case d) we have

y^{2}=6x

so

x=(1/6)y^{2}

a=(1/6)

a>0

therefore

The parabola open to the right

3 0
2 years ago
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