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3 years ago

Somebody pls help with no. 5

Mathematics

1 answer:

Julli [10]3 years ago

8 0

Answer:

a) is -7

Step-by-step explanation:

8=2048 $(2)^{n-1}$

$\frac{8}{2048} =\frac{2048^{n-1} }{2048}$

8/2048=0.00390625 = $(2)^{n-1}$

$2^{-8}$ = 0.00390625

-8-1=-7

and do the rest with the same equation which is tn=a $r^{n-1}$

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The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13

Iteru [2.4K]

Answer:

283 cm^2

Step-by-step explanation:

Solution:-

We have a cone with a circular base of radius r = 5 cm

The height of the cone is h = 12 cm

The slant height of the cone is L = 13 cm

We are to determine the surface area of the cone. The surface area of the cone is comprised of two parts:

Base Area : Circle

$A_1 = \pi r^2\\\\A_1 = \pi 5^2\\\\A_1 = 25\pi$

Curved Surface: conical

$A_2 = \pi * r*L\\\\A_2 = \pi * 5*13\\\\A_2 = 65\pi$

The total surface area of the cone can be written as ( A ):

$A = A_1 + A_2\\\\A = (25 + 65 )*\pi \\\\A = 90*(3.14) \\\\A = 282.7433 cm^2$

Answer: The surface area of the cone to nearest whole number would be 283 cm^2

4 0

3 years ago

Simplify fraction 40/85

Leona [35]

Divide both the numerator and denominator by 5 and you get 8/17. your answer is 8/17.

7 0

3 years ago

During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the

mars1129 [50]

Answer:

Yes, it will reach or exceed 141 degree F

Step-by-step explanation:

Given equation that shows the temperature T in degrees Fahrenheit x minutes after the machine is put into operation is,

$T = 0.005x^2 + 0.45x + 125$

Suppose T = 141°F,

$\implies 141 = 0.005x^2 + 0.45x + 125$

$\implies 0.005x^2 + 0.45x + 125 - 141 =0$

$\implies 0.005x^2 + 0.45x - 16=0$

Since, a quadratic equation $ax^2 + bx + c =0$ has,

Real roots,

If Discriminant, $D = b^2 - 4ac \geq 0$

Imaginary roots,

If D < 0,

Since, $0.45^2 - 4\times 0.005\times -16 = 0.2025 + 32 > 0$

Thus, roots of -0.005x² + 0.45x + 125 are real.

Hence, the temperature can reach or exceed 141 degree F.

6 0

3 years ago

24 water bottles for $2.95

N76 [4]

Answer:

Sure i will buy them, where you live so i can pay fro estimated shipping

Step-by-step explanation:

8 0

3 years ago

N/8= 25/40<br> N/20=85/100<br> 2/3=16/n<br> 5/6=25/n

4vir4ik [10]

N/8 = 25/40
40n = 25 * 8
40n = 200
n = 200/40
n = 5

n/20 = 85/100
100n = 85 * 20
100n = 1700
n = 1700/100
n = 17

2/3 = 16/n
2n = 16 * 3
2n = 48
n = 48/2
n = 24

5/6 = 25/n
5n = 25 * 6
5n = 150
n = 150/5
n = 30

3 0

4 years ago