Answer:
n=-17
Step-by-step explanation:
8(2n-5)=3(6n-2)
1) Distributive property
16x-40=18x-6
16x−40=18x−6
2) Subtract 16x16x from both sides.
-40=18x-6-16x
−40=18x−6−16x
3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.
-40=2x-6
−40=2x−6
4) Add 66 to both sides.
-40+6=2x
−40+6=2x
5) Simplify -40+6−40+6 to -34−34.
-34=2x
−34=2x
6) Divide both sides by 22.
-\frac{34}{2}=x
−
2
34
=x
7) Simplify \frac{34}{2}
2
34
to 17
−17=x
8) Switch sides.
x=−17
Answer:
The frequency of the burst of electromagnetic radiation which equals 1 exahertz = 10¹⁸ hertz.
Step-by-step explanation:
Since the frequency of the burst of electromagnetic radiation is 1 exahertz, and 1 exahertz = 10¹² megahertz. So, the frequency of radiation is 10¹² megahertz. Also 1 megahertz = 10⁶ hertz. So, 10¹² megahertz = 10¹² × 1 megahertz = 10¹² × 10⁶ hertz = 10¹² ⁺ ⁶ hertz = 10¹⁸ hertz.
So the frequency of the burst of electromagnetic radiation which equals 1 exahertz = 10¹⁸ hertz.
The surface area of cylinder is 8.625
, if the cylinder has 5 centimeters high and 1.5 cm of diameter.
Step-by-step explanation:
The given is,
Cylinder has a 5 centimeters height
Diameter of the cylinder is 1.5 centimeters
Step:1
Formula for the surface area of cylinder is,
......................................(1)
Where,
h - Height of cylinder
r - Radius of cylinder
From the values of h and r,

= 
r = 0.75 cm
From the formula,
= ( 2 ×
× 0.75 × 5 ) + ( 2 ×
×
)
= ( 7.5
) + ( 1.125
)
A = 8.625

Result:
The surface area of cylinder is 8.625
, if the cylinder has 5 centimeters high and 1.5 cm of diameter.