Answer:
Option <u>C. 13.3 in</u>.
Step-by-step explanation:
Here's the required formula to find the radius of the bike tire :
- C = circumference
- π = 3.14
- r = radius
Substituting all the given values in the formula to find the radius of the bike tire :
Hence, the radius of bike tire is 13.3 inches.
Answer:
f(-3) = g(-3)
Step-by-step explanation:
Remember points on the graph get their location from the x-axis (horizontal) and y-axis (vertical).
In function notation, "f(x)" means when "x" is the value in the brackets, what the value of "y" will be.
First option for example: f(-3) = g(4)
<em>Value of "y" for f(x) when x = -3:</em>
On the blue line, when x = -3, y = -4.
<em>Value of "y" for g(x) when x = 4:</em>
On the red line, when x = 4, y = -3.
<u>Therefore</u>:
f(-3) = g(4)
-4 = -3 <= This is false.
In the third option: f(-3) = g(-3)
<em>On f(x) blue, when x = -3: </em>y = -4
<em>On g(x) red, when x = -3: </em>y = -4
<u>Therefore</u>:
f(-3) = g(-3)
-4 = -4 <= This is true.
The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa"
Answer:
option C
c.
least: $101
greatest: $1001
Step-by-step explanation:
A radio station advertises a contest with ten cash prizes totaling $5510. There is to be a $100 difference between each successive prize.
Sum of 10 prizes = 5510
100 is the difference. there is a common difference d=100
So its a arithmetic sequence
the sum formula for arithmetic sequence is
Sn = 5510, n=10 n d= 100 we need to find out first term a1
5510 = 5 (2a1 + 900)
5510 = 10a1 + 4500
Subtract 4500 on both sides
1010= 10a1
divide by 10 on both sides
a1 = 101
so first term that is least term is 101
To find out greatest term we use formula
a(10) = 101 + (10-1)100
= 101 + 900= 1001
greatest is 1001
Answer:
45 mins
Step-by-step explanation:
The question is how much time should the painter spend on painting a doll for the costs to still be equal or lower to $24.50
We can make this equation, representing the raw materials + the painting job (at $18/h):
$11 + $18x = $24.50
18x = 13.50
x = 13.5 / 18 = 0.75
So, the painter should spend at most 3/4 of an hour (or 45 mins) painting a doll to keep the cost at or below $24.50 per doll.
