Answer:
Option 2
Step-by-step explanation:
If you multiply 2 by 2 you get 4. If you multiply 3 by 2 you get 6. If you multiply 4 by 2, you get 8. If you multiply 5 by 2 you get 10. A proportional relationship is where you can multiply all the numbers by a certain number to get the answer. In this case, all the numbers in the left column could get multiplied by 2 to get the number in the right column.
Answer:
Step-by-step explanation:
Given
The ratio of two similar figures is 169:289
Suppose, their length ratio is x:y
Similarly, cube of the ratio is equal to the volume ratio
Thus, the volume of the larger solid is
Answer:
Step-by-step explanation:
Hello,
We will prove it by induction.
Step 1 - for n=2
2!=2*1=2
2^2=4
and 2 < 4 so this is true for n=2
Step2 - We assume that this is true for k and we have to prove it for k+1.
Induction hypothesis is
We use the induction hypothesis and we we can write that
so, we prove it for k+1
Step 3- conclusion
for n >= 2 we just proved that
Answer:
20x + 5 < 30
Step-by-step explanation:
To make a profit, the price on supplies must be less than the amount at which they sold their wares
Since they received $5 in tip, the amount of profit left to be accounted for is 30-5 = 25
So now, we need the smallest price at which they will sell per lemonade to make a profit
Mathematically, that will be;
20x + 5 > 30
Using this inequality X they will know the value of x that will give them profit
Answer: 54.88 mph
Step-by-step explanation: the Doppler effect formulae is given below as
f' = (v + vo) /(v - vs) × f
Where f' = observed frequency = 236 Hz,
f = frequency of sound source (stationary frequency) = 253 Hz.
v = speed of sound in air = 761 mph
Since the car (source) is moving away relative to the observer, vs will have a negative value (-vs)
vo = 0 mph ( since the observer is not moving)
By substituting the parameters, we have that
236 = (761+0)/(761 - (-vs)) × 253
236 = (761/ 761 +vs) × 253
By cross multiplication, we have that
236 × (761 +vs) = 761 ×253
761 + vs = 761 ×253/ 236
761 + vs = 192533/ 236
761 + vs = 815.88
vs = 815.88 - 761
vs = 54.88 mph