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Dmitriy789 [7]
4 years ago
10

Eight less than the product of a number n and 1/5 is no more than 96

Mathematics
1 answer:
garik1379 [7]4 years ago
8 0

Answer:

1/5n-8<_96

Step-by-step explanation:

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The width x of your iris decreases from 4 millimeters to 2 millimeters when you enter a dark room. How many times greater is the
inysia [295]

Answer:

The area of the Iris is 4 times greater.

Step-by-step explanation:

Firstly, we have to realize that we cannot solve this problem without knowing the radius of the iris. because from the information given, the radius of the iris could well be the size of the galaxy and contract from width of 4mm to 2mm and we wouldn't know!

The average radius of the iris is 6mm, so we take this value.

Now, initially the width of the iris is 4mm, that means the radius of the pupil is:

6mm-4mm=2mm

Therefore it's area A is:

A=\pi r^2=\pi (2)^2=4\pi

When the iris contracts to 2mm, the radius of the pupil becomes:

6mm-2mm=4mm

Then it's area is A:

A=\pi r^2=\pi (4)^2=16\pi

To find how many times greater this final area is than the initial area, we just divide it by the initial area:

\frac{16\pi }{4\pi } =4

This is 4 times greater than the initial area.

3 0
3 years ago
What is the remainder for 89,736 divided by 40?
tigry1 [53]

Answer: 2,243.4

Step-by-step explanation:

7 0
3 years ago
In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a
Art [367]

Answer:

The answer is "\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}"

Step-by-step explanation:

Given value:

Temp-maximum=18^{\circ}  

Temp. minimum = 3^{\circ}

It is halfway between 10 am and 10 pm to 4 am.  

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:  

T = A \cos B(t-C) + D, where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)

A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\

                       = \frac{(3 - 18)}{2}\\\\= - \frac{15}{2}\\\\ = -7.5

B = \frac{2 \pi}{24}\\\\

   = \frac{\pi}{12}

C = \text{ units translated to the right}= 4

D = y_{min} + amplitude = units \ translated \ up\\\\

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5

6 0
4 years ago
Need help with #8 &amp; #14 PLEASE!!
juin [17]

Answer:

8 (see work)

14. 2x^2 -4x^2 +3

Step-by-step explanation:

There's attached work for explanation

8 0
3 years ago
Please helppp number 11
aivan3 [116]

Answer:

(1/3)⁷

Step-by-step explanation:

negative exponents work like this:

x⁻²=(1/x)²

Apply this theory to this equation:

3⁻⁷=

(1/3)⁷

4 0
3 years ago
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