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3 years ago

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Mathematics

1 answer:

Kay [80]3 years ago

5 0

Answer:

The mode would be 8, since it occurs the most

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At 5pm the total rainfall is 3cm. At 11 pm the total rainfall is 13cm.What is the mean hourly rainfall?

krok68 [10]

Answer:

2.16 cm

Step-by-step explanation:

5 through 11 = 6 hours

total of cms = 13

13/6 = 2.16

7 0

4 years ago

A welder drops a piece of red-hot steel on the floor. The initial temperature of the steel is 2,500 degrees Fahrenheit. The ambi

sergey [27]

Answer: After 18.05 minutes, the temperature of steel becomes 100 degrees.

Step-by-step explanation:

Since we have given that

Initial temperature = 2500

At t = 0,

we get that

$f(t)=Ce^{-kt}+80\\\\2500=C+80\\\\2500-80=C\\\\2420=C$

After 2 minutes, the temperature of the steel is 1500 degrees.

so, it becomes,

$1500=2420e^{-2k}+80\\\\1500-80=2420e^{-2k}\\\\\dfrac{1420}{2420}=e^{-2k}\\\\0.587=e^{-2k}\\\\\ln 0.587=-2k\\\\-0.533=-2k\\\\k=\dfrac{0.533}{2}\\\\k=0.266$

So, We need to find the number of minutes when the temperature of steel would be 100 degrees.

So, it becomes,

$100=2420e^{-0.266t}+80\\\\100-80=2420e^{-0.266t}\\\\20=2420e^{-0.266t}\\\\\dfrac{20}{2420}=e^{-0.266t}\\\\\ln \dfrac{20}{2420}=-0.266t\\\\-4.8=-0.266t\\\\t=\dfrac{4.8}{0.266}\\\\t=18.05$

Hence, after 18.05 minutes, the temperature of steel becomes 100 degrees.

7 0

3 years ago

Find the missing values for the exponential function represented by the table below.

postnew [5]

Answer:

d. 13.5, 20.25

Step-by-step explanation:

An exponential function is monotonic and does not change sign. On this basis alone, the first three choices can be eliminated.

The common ratio is 6/4 = 3/2.

The term in the sequence after 9 is 9·(3/2) = 27/2 = 13.5.

The term in the sequence after 27/2 is (27/2)·(3/2) = 81/4 = 20.25.

8 0

3 years ago

Which is the inverse of the function f(x) = x2 − 4?<br><br><br> y = x2 − 4

4vir4ik [10]

Answer:

$\sqrt{x+4} \\\\-\sqrt{x+4}$

Step-by-step explanation:

8 0

3 years ago

What is the volume of this pyramid? How would I go about this?

konstantin123 [22]

The volume of a pyramid is:
$\frac{lwh}{3}$

You need the height for this. You are given the hypotenuse of a triangle, and the base of that triangle is half of 42 if you can see that. So, let's solve for the height using pythagorean theorem:
$35^2 = 21^2+h^2$

Solve for h:
$b = \sqrt{35^2-21^2} = 28$

Now you have all the information, let's just plug everything in:
$\frac{42*42*28}{3} = 597.33$

So, your volume is 597.33 cm³. Hope everything makes sense. hmy if something doesn't.

6 0

3 years ago

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