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Bas_tet [7]
3 years ago
15

(50 POINTS) Write out each sum.

Mathematics
1 answer:
valentina_108 [34]3 years ago
4 0

Step-by-step explanation:

12. n^2+2n

if you insert 1 for k and then work up by inserting 2 for k and adding those together and stoping at n.

13. 8-2(2^n)

if you insert 3 for k and then work up by inserting 4 for k and adding those together and keep on going but stopping at n.

Hope that helps :)

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It is known that 2.2< sq root 5 <2.3. Find all possible values of the expression: a sq root 5 +2 3- sq root 5 It is known
NISA [10]

Answer:

4.2 < sq. 5< 4.3

Step-by-step explanation:

since square root of 5 was +2 you just add +2 to both sides and you will get your answer, however it is different with different operations.

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3 years ago
Площа паралелограма дорівнює 98 см“, а одна з його ви-
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A die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6}. Find the probability of getting a 9.
mrs_skeptik [129]

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3 years ago
What is the value of x?<br> 76+71=124
Kisachek [45]

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Read 2 more answers
A trough is 8 feet long and has perpendicular cross section in the shape of an isosceles triangle (point down) with base 1 foot
murzikaleks [220]

Answer:

Dh/dt  = 0.082 ft/min

Step-by-step explanation:

As a perpendicular cross section of the trough is in the shape of an isosceles triangle the trough has a circular cone shape wit base of  1 feet and height     h = 2 feet.

The volume of a circular cone is:

V(c)  = 1/3 * π*r²*h

Then differentiating on both sides of the equation we get:

DV(c)/dt   = 1/3* π*r² * Dh/dt   (1)

We know that DV(c) / dt   is  1 ft³ / 5 min      or     1/5  ft³/min

and  we are were asked how fast is the water rising when the water is 1/2 foot deep. We need to know what is the value of r at that moment

By proportion we know

r/h  ( at the top of the cone  0,5/ 2)   is equal to  r/0.5  when water is 1/2 foot deep

Then      r/h   =   0,5/2   =  r/0.5

r  =  (0,5)*( 0.5) / 2        ⇒   r  =  0,125 ft

Then in equation (1) we got

(1/5) / 1/3* π*r² =  Dh/dt

Dh/dt  = 1/ 5*0.01635

Dh/dt  = 0.082 ft/min

4 0
3 years ago
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