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2 years ago

A clay block is 12 cm long 6cm wide and 2cm high and the density is 1.25cm3 what is the mass

Mathematics

1 answer:

Ksenya-84 [330]2 years ago

6 0

Answer:

180

Step-by-step explanation:

formula density:

$p = \frac{m}{v}$

find volume ..

$v = 12 \times 6 \times 2 \\ = 144$

subtitute into formula density..

$1.25 = \frac{m}{144}$

$m = 180$

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Find parametric equations for the line through the point (0, 2, 2) that is parallel to the plane x + y + z = 4 and perpendicular

Oxana [17]

Answer: X = 3t, Y =2 - t, Z =2

Step-by-step explanation: the plane

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M =<1,1,1> and the line

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3 years ago

49x2-14x+1 whats the answer

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3 years ago

Your bank account is sitting on $14,000. You started with a principal balance of $12,500. If the interest rate was 4.5% compound

Simora [160]

Answer:

$t=2.5\ years$

Step-by-step explanation:

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\ P=\$12,500\\P=\$14,000\\ r=4.5\%=4.5/100=0.045$

substitute in the formula above and solve for t

$14,000=12,500(e)^{0.045t}$

Simplify

$14,000/12,500=(e)^{0.045t}$

$1.12=(e)^{0.045t}$

Apply ln both sides

$ln(1.12)=ln[(e)^{0.045t}]$

$ln(1.12)=(0.045t)ln(e)$

Remember that

$ln(e)=1$

$ln(1.12)=(0.045t)$

$t=ln(1.12)/(0.045)$

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3 years ago

If f(x)= 3x squared - 2x + 1 what is f(x+2)

Crazy boy [7]

2x squared would be you final answer

4 0

3 years ago

A certain genetic condition affects 8% of the population in a city of 10,000. Suppose there is a test for the condition that has

enot [183]

Solution:

Population in the city= 10,000

As genetic condition affects 8% of the population.

8 % of 10,000

$=\frac{8}{100}\times 10,000=800$

As, it is also given that, there is an error rate of 1% for condition (i.e., 1% false negatives and 1% false positives).

So, 1% false negatives means out of 800 tested who are found affected , means there are chances that 1% who was found affected are not affected at all.

So, 1% of 800 $=\frac{1}{100}\times 800=8$

Also, 1% false positives means out of 10,000 tested,[10,000-800= 9200] who are found not affected , means there are chances that 1% who was found not affected can be affected also.

So, 1% of 9200 $=\frac{1}{100}\times 9200=92$

1. Has condition Does not have condition totals = 800

2. Test positive =92

3. Test negative =8

4. Total =800 +92 +8=900

5. Probability (as a percentage) that a person has the condition if he or she tests positive= As 8% are found positive among 10,000 means 9200 are not found affected.But there are chances that out of 9200 , 1% may be affected

$=\frac{\text{1 percent of 9200}}{9200}\\\\ \frac{\frac{1}{100}\times 9200}{9200}=\frac{92}{9200}\\\\ =0.01$

that is Probability equal to 0.01 or 1%.

7 0

3 years ago