The correct answer is D.
As you can see, the exponential function grows by doubling the previous output with each increment of the input: start with 1, you double it to get 2, then you double it to get 4, 8 and so on.
On the other hand, the linear function adds 7 with each step. This means that the exponential function will eventually reach and pass the linear one, and will definitely be grater from that point on. In fact, if we continue the table, we get
and you can see how the exponential growth is much faster than the linear one.
Answer:
(13)
<u>x= 8</u>
<u>y=11</u>
(14)
<u>x= 20</u>
<u>y=20.75</u>
(15)
<u>x=9</u>
<u>y=13</u>
Step-by-step explanation:
(13) 8x-1 = 11x -25
24=3x
<u>x= 8</u>
8(8)-1 +15y-48= 180
15y=165
<u>y=11</u>
(14) 7x-44 + 4x + 4= 180
11x= 220
<u>x= 20</u>
4(20)+4+39= 8y-43
123=8y-43
166=8y
<u>y=20.75</u>
(15) 12x+1=15x-26
3x=27
<u>x=9</u>
28+15(9)-26+4y-9=180
4y=52
<u>y=13</u>
Answer:
Step-by-step explanation:
You have a half sphere and a cylinder.
Trick question! Note that the diameter of the cylinder is in meters, while the height is given in centimeters.
For cylinder:
radius r = 5 m
height h = 6 cm = 0.06 m
volume = πr²h = π(5²)(0.06) = 1.5π m³
For sphere:
radius r = 5 m
volume of sphere = (4/3)πr³
volume of half sphere = (2/3)πr³ = (2/3)π5³ = (250/3)π m³
Total volume = 1.5π + 250π/3 ≅ 266.5 m³
Given:
In a right triangle at B,
To find:
The length of the sides b and c and angle B.
Explanation:
Using the trigonometric ratio,
Using the trigonometric ratio,
Using the angle sum property,
The angle B becomes,
Final answer:
The values are,
Answer:
<em>x=-11</em>
Step-by-step explanation:
<em>17+x/6=0</em>
<em>17+x=6</em>
<em>x=-11</em>