Answer:
Sound can travel 12 miles per minute.
Step-by-step explanation:
Speed equation is distance divided by time.
So we have 1 mile per 1/12 of a minute.
Let’s write the equation.
Speed of sound = 1 / 1/12
Multiply by the reciprocal.
1 * 12 = 12.
Answer:

Step-by-step explanation:
The equation of a circle is:
, where x_1 is the x coordinate of the center, y_1 is the y coordinate of the center, and r is the radius.
In this case, x_1 = -8, y_1 = 14, and r = 4.3589. Plugging these into the equation, we get:

If you want, you can round 4.3589^2 to 19.
Then, the answer would be:
.
Hope this helps!
Answer:
Shifts 4 units to left
Step-by-step explanation:
Given:

Accorded to transformation rules:
- f(x + a) is shift to left <u>a</u> units.
- f(x - a) is shift to right <u>a</u> units.
- f(x) + a is shift up <u>a</u> units.
- f(x) - a is shift down <u>a</u> units.
Since function g is f(x + 4) then function g is the graph of function f(x) that shifts to left 4 units.
Answer:
C. <em>$720.37</em>
Step-by-step explanation:
An investment of $2,000 is earning interest at the rate of 6.2% compounded quarterly over 5 years.
We know that,

here,
A = Future amount,
P = Principal = $2000
r = Rate of interest = 6.2% = 0.062
n = Number of period = 4 (as compounded quarterly)
t = time period = 5 years
Putting the values,




So the interest will be,

