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Greeley [361]
3 years ago
8

What is the solution(s) for: 10n^2+n^2+16=0

Mathematics
1 answer:
Svetlanka [38]3 years ago
4 0

Answer:

n = (4 i)/sqrt(11) or n = -(4 i)/sqrt(11)

Step-by-step explanation:

Solve for n:

11 n^2 + 16 = 0

Subtract 16 from both sides:

11 n^2 = -16

Divide both sides by 11:

n^2 = -16/11

Take the square root of both sides:

Answer: n = (4 i)/sqrt(11) or n = -(4 i)/sqrt(11)

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A company uses paper cups shaped like cones for its water cooler. Each cup has a height of 10cm, and the base has a radius of 4.
prohojiy [21]

Answer: the answer is 150 :)

Step-by-step explanation: Volume of a cone is

V = 1/3 pi * r^2 *h

The volume of one cone is

pi = 3.14

r = d/2 = 6/2 =3

h=9

Substitute what we know

V = 1/3 * (3.14) * (3^2) * (9)

  = 27* 3.14

  = 84.78  cm^3

The water cooler has 12717 cm^3 water

Divide the water by the volume of the paper cup cone  and we will know how many paper cup cones we can fill, assuming we fill them completely.

12717/ 84.78 = 150

We can fill 150 paper cup cones. have a great day!

8 0
2 years ago
10) g(n) = -21+ 3n; Find gl-6)<br> A) 152 <br> B) -20<br> C) 1<br> D) 90
defon
10) g(n) = -21+ 3n; Find gl-6)
A) 152
B) -20
C) 1
D) 90
Your answer would be B

If this helped can I please get brainliest
6 0
2 years ago
What is the range of 149 111 171 166 152 129 162 144
valentinak56 [21]

Answer:

range = bigger number-smaller number

biggest number=166

smallest number=111

166-111

=55

8 0
3 years ago
Read 2 more answers
Kim solved the equation below by graphing a system of equations. log base 2 (3x-1) = log base 4 (x+8)
kompoz [17]

Answer:

solution is

x=1.353,y=1.613

Step-by-step explanation:

We are given equation as

log_2(3x-1)=log_4(x+8)

Firstly, we will find equations

First equation is

y=log_2(3x-1)

Second equation is

y=log_4(x+8)

now, we can draw graph

and then we can find intersection point

we can see that

intersection point is (1.353,1.613)

so, solution is

x=1.353,y=1.613

8 0
3 years ago
Read 2 more answers
Problem 4:
Kipish [7]

Answer:

12cm and 16cm

Step-by-step explanation:

The hypotenuse of the right angle triangle  = 20cm

 let the other two sides be x and y;

 The difference;

                x  = y - 4

Problem:

Find x and y;

Solution:

According to the pythagoras theorem;

    x² + y² = 20²  ------ i

       x² + y² = 400 ----- i

and  x - y = 4 ---- ii

So;   x = 4 + y

Now input the value into equation (i);

  (y + 4)² + y² = 400

   (y+4)(y+4) + y² = 400

    y² + y² + 4y + 4y + 16 = 400

    2y² + 8y + 16 = 400

    2y² + 8y + 16 -400 = 0

   2y² + 8y - 384 = 0;

      y² + 4y - 192 = 0

Factorize the equation;

  y² + 16y - 12y - 192 = 0

  y(y + 16) - 12(y + 16) = 0

  (y-12)(y + 16) = 0

     y -12 = 0 or y+ 16 = 0

     y = 12 or -16

It is not realistic for the length of a body to be a negative value, so y= 12;

   since;

    x - y = 4,

    x = 4 + 12

    x = 16

5 0
3 years ago
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