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4 years ago

14

In a lab a substance was cooled by 42C over a 7 hours at a constant rate. What was the change in temperature each hour?

1 answer:

Svetlanka [38]4 years ago

4 0

The rate of change is -6c per hour.

42c/7=6.

I believe the rate of change is negative because the question states that the temperature is decreasing.

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Write the explicit formula for the geometric sequence.<br><br> a1 = -5 a2 = 20 a3 = -80

Anni [7]

$a_1 = -5;\ a_2 = 20;\ a_3 = -80 \\\\a_2:a_1=r\ and\ a_3:a_2=r\\\\r=20:(-5)=-4\ check\ r=-80:20=-4\\\\a_n=a_1r^{n-1}\to a_n=-5\cdot(-4)^{n-1}=-5\cdot(-4)^{-1}\cdot(-4)^n\\\\=-5\cdot\left(-\dfrac{1}{4}\right)\cdot(-4)^n=\dfrac{5}{4}\cdot(-4)^n\\\\Answer:\boxed{a_n=-5\cdot(-4)^{n-1}\ other\ a_n=\frac{5}{4}\cdot(-4)^n}$

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3 years ago

How many tons are equal to 36,000 pounds?

patriot [66]

Hello There! I'll be glad to help you! :0

Question:

How many tons are equal to 36,000 pounds?

Answer:

<h2><u><em>18 tons </em></u></h2>

Step-by-step explanation:

<em>To convert a pound measurement to a ton measurement, divide the weight by the conversion ratio.</em>

<em />

<em>Since one ton is equal to 2,000 pounds, you can use this simple formula to convert:</em>

<em />

<em>tons = pounds ÷ 2,000</em>

<em>The weight in tons is equal to the pounds divided by 2,000.</em>

<em />

<em>And you could multiply 2,000 by 18 and get the answer 36,000</em>

<em />

<em />

Hope This Helps you!

Have an Amazing day!

<h2><u>If you have any questions please ask! :]</u></h2>

8 0

2 years ago

Read 2 more answers

Find the correct values for the variables that make the statement cos(h)=x/y true.

Stels [109]

Answer:

The sum of the measures of the angles in a triangle is equal to 180 degree.

In triangle FGH;

$\angle F + \angle G + \angle H = 180^{\circ}$

or

$\angle H = 180^{\circ} -{\angle F + \angle G}$

Substitute the given values from the given figure we have;

$\angle H = 180^{\circ} -{33^{\circ} + 90^{\circ}}$

$\angle H = 180^{\circ} -{123^{\circ}}$

Simplify:

$\angle H = 57^{\circ}$

Given that:

$\cos H = \frac{x}{y}$

Using Cosine ratio:

$\cos \theta = \frac{\text{Base}}{\text{Hypotenuse}}$

In a given figure:

Base = GH = x and Hypotenuse = FH = y = 80 cm

Then;

$\cos 57^{\circ}= \frac{x}{80}$

or

$x = \cos 57^{\circ} \cdot 80$

$x = 0.54463903501 \cdot 80 \approx 43.57$ cm

Therefore, the value of :

$H = 57^{\circ}$

x = 43.57 cm

y = 80 cm

5 0

3 years ago

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Determine the standard deviation of the data below. (1, 2, 3, 4, 5)

Burka [1]

Answer:

$\sqrt{2}$ or 1.414

Step-by-step explanation:

1) Find the mean. 1+2+3+4+5 = 15. 15/5= 3

2) For each data point, find the square of its distance to the mean. (4, 1, 0, 1, 4)

3) Sum the values from Step 2. 10

4) Divide by the number of data points. 10/5= 2

5) Take the square root. $\sqrt{2}$

4 0

3 years ago

How many are 2 raised to 2 ???

natta225 [31]

Answer:

Step-by-step explanation: 2 raised to 2 or 2^2

is the same as saying 2*2 so 2 raised to 2 or 2^2 is 4

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3 years ago

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