Answer:
195 m.
Step-by-step explanation:
The time for the sound waves to reach the fish is 0.26/2 = 0.13 seconds.
Distance = speed * time
= 1500 * 0.13
= 195 m.
Prime factorization for both numbers:
84 = 2*2*3*7
56= 2*2*2*7
prime factors: 2*2*7
answer: 28
a.
b=cost per burrioto
t=cost per taco
b.
3 burritos and 4 tacos costs 11.33; 3b+4t=11.33
9 burritos and 4 tacos costs 22.07; 9b+4t=22.07
c. solve
3b+4t=11.33
9b+4t=22.07
mulitply irst equation by -1 and add to 2nd to cancel t's
-3b-4t=-11.33
<u>9b+4t=22.07 +</u>
6b+0t=10.74
6b=10.74
divide both sides by 6
b=1.79
subsitute back
3b+4t=11.33
3(1.79)+4t=11.33
5.37+4t=11.33
4t=5.96
divide both sides by 4
t=1.49
solution: 1 taco costs $1.49 and 1 burrito costs $1.79
Answer:
6, - 36 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
f(x) = x² + 12x ← is in standard form
with a = 1, b = 12, c = 0 , then
x = - 
= - 6
Substitute x = 6 into f(x) for corresponding value of y
f(6) = 6² + 12(- 6) = 36 - 72 = - 36
vertex = (6, - 36 )
The population will be about 2972 population in 2020
<h3>Exponential functions </h3>
The standard exponential equation is expressed as;
y = ab^x
where
- a is the intercept
- b is the initial population
- x is the time
Given the following parameters
Substittute the given parameters into the formula
y = 2000(1.02)^x
If x = 20 (from 2000 to 2020)
The population will be expressed as;
y = 2000(1.02)^20
y = 2972 populations
Hence the population will be about 2972 population in 2020
Learn more on exponential functions here; brainly.com/question/12940982
