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3 years ago

How do I convert 22.4 kg/L to kg/mL

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

5 0

You have to move the decimal

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The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm.

Nat2105 [25]

Answer:

A) Maximum error = 170.32 cm³

B)Relative error = 0.0575

Step-by-step explanation:

A) Formula for circumference is: C = 2πr

Differentiating with respect to r, we have;

dC/dr = 2π

r is small, so we can write;

ΔC/Δr = 2π

So, Δr = ΔC/2π

We are told that ΔC = 0.5.

Thus; Δr = 0.5/2π = 0.25/π

Now, formula for Volume of a sphere is;

V(r) = (4/3)πr³

Differentiating with respect to r, we have;

dV/dr = 4πr²

Again, r is small, so we can write;

ΔS/Δr = 4πr²

ΔV = 4πr² × Δr

Rewriting, we have;

ΔV = ((2πr)²/π) × Δr

Since C = 2πr, we now have;

ΔV = (C²/π)Δr

ΔV will be maximum when Δr is maximum

Thus, ΔV = (C²/π) × 0.25/π

C = 82 cm

Thus;

ΔV = (82²/π) × 0.25/π

ΔV = 170.32 cm³

B) Formula for relative error = ΔV/V

Relative error = 170.32/((4/3)πr³)

Relative error = 170.32/((4/3)C³/8π³)

Relative errror = 170.32/((4/3)82³/8π³)

Relative error = 170.32/2963.744

Relative error = 0.0575

3 0

3 years ago

I need help extra points and work brainlyisr

arsen [322]

Answer:

106.25

Step-by-step explanation:

if u multiply 8.5 by 12.5 then you get 106.25 :)

8 0

3 years ago

Find the product, using suitable properties:

Ray Of Light [21]

Answer: a) 6700 b) 2233

Step-by-step explanation:

$(-67)*(-99)+(-67)*(-1)=\\(-67)*((-99)+(-1))=\\(-67)*(-100)=\\6700$

$29*(80-3)=\\(30-1)*(80-3)=\\30*80+(-1)*80+(-3)*30+(-1)*(-3)=\\2400-80-90+3=\\2403-170=\\2233$

8 0

1 year ago

Sally has 16 marbles in her collection. John has only 7 marbles. Sally gives John 8 of her marbles. How much marbles does John h

Sati [7]

Answer:

The answer is 15

Step-by-step explanation:

hope this helps

5 0

3 years ago

A consumer advocate wants to collect a sample of jelly jars and measure the actual weight of the product in the container. He ne

Ivahew [28]

Answer:

n=3.8416≅4

So Minimum Sample Size is 4

Step-by-step explanation:

In order to find the minimum sample size, the formula we use will be:

$n= \frac{Z^2*S^2}{E^2}$

Where:

n is sample size

Z is the distribution

S is the standard deviation

E is the Margin of error

S=3 ,E=3

For Z:

Alpha=1-0.95=0.05

Alpha/2=0.025=2.5%

From Cumulative Standard Distribution Table:

Z at Alpha/2 = 1.960

$n= \frac{1.960^2*3^2}{3^2}$

n=3.8416≅4

So Minimum Sample Size is 4

8 0

3 years ago