3 to the power of 4:
=34
x
n
=
3
4
=3⋅3⋅3⋅3
=
3
⋅
3
⋅
3
⋅
3
=81
=
81
For example, 3 to the power of -4:
=3−4
x
n
=
3
−
4
=134
=
1
3
4
=13⋅3⋅3⋅3
=
1
3
⋅
3
⋅
3
⋅
3
=181
=
1
81
=0.012346
Part 1) we have that
volume smaller solid=512 cm³
volume larger solid=2197 cm³
we know that
volume larger solid=[scale factor]³*volume smaller solid
scale factor=∛[volume larger solid/volume smaller solid]
scale factor=∛[2197/512]-----> scale factor=1.625
Part 2)
the ratio of the surface areas is equal to [scale factor]²
1.625²-------> 2.64
Part 3)
surface area smaller solid=960 cm²
then
surface area larger solid=scale factor²*surface area smaller solid
surface area larger solid=[1.625]²*960-----> 2535 cm²
surface area larger solid is 2535 cm²
We can use the slope-intercept form of the equation of a line, y = mx + b, where m is the slope and b is the y-intercept.
From the graph, we see the line crosses the y-axis at y = 15. That means the y-intercept is 15, and we have so far y = mx + 15.
Now we need the slope. On the graph we see that for every 3 units up in y, there is 1 unit to the right in x. The slope is 3/1 = 3. m = 3. Now we add the slope to the equation.
y = 3x + 15
Answer: y = 3x + 15
Answer:
Its b
Step-by-step explanation:
The number line is saying people spend 70 n below.
