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enyata [817]
2 years ago
6

An object has a mass of 560 kg and a volume of 8 m3. find the density of the object in kg/m3.

Mathematics
1 answer:
Fed [463]2 years ago
6 0
The density is 70 kg/m3. Here’s how I found it:
1: the formula for density is mass divided by volume (560/8)
2: 560/8=70
3. The label is kg/m3
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Lilly bought stock at $83.60. The next day, the price increased by $15.35. Then this price changed by $-2.15.Wgat was the final
rodikova [14]
The final stock price would be $96.8
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2 years ago
I am very sorry because this is off-topic but is it normal to have 840/500 points? for ranking?
hichkok12 [17]

Answer:

i think so

Step-by-step explanation:

8 0
2 years ago
A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

b. \frac{dA}{dt}= -11.25 \frac{mg}{h}

Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

A= C_{0}(1-x)^t\\t: time \ in \ hours\\x: percentage \ of \ caffeine\ metabolized\\

Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

\frac{dA}{dt} =C_{0}(1-x)^t \ln (1-x)\\\frac{dA}{dt} =100*0.88\ln(0.88)\\\frac{dA}{dt} =-11.25 \frac{mg}{h}

The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
The measure of each interior angle of a regular polygon is 150 how many sides does the polygon have?
Dmitry [639]
The exterior and an interior angles always add up to 180 degrees.
180-150=One exterior angle
180-150=30
We know that all of the exterior angles add up to 360
360/30= the number of sides
360/30=12
The shape has 12 sides.
3 0
3 years ago
Solve for x in the equation below(all in picture).
EleoNora [17]

Answer:

x = - 5, x = 2

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log (\frac{x}{y} )

log_{b} x = n ⇔ x = b^{n}

note that log x = log_{10} x

Given

log (x² + 3x) - log10 = 0, then

log(\frac{x^2+3x}{10} ) = 0, thus

\frac{x^2+3x}{10} = 10^{0} = 1 ( multiply both sides by 10 )

x² + 3x = 10 ( subtract 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

Solution is x = - 5, x = 2

6 0
2 years ago
Read 2 more answers
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