Answer:
y² + 8y + 16
Step-by-step explanation:
Given
(y + 4)²
= (y + 4)(y + 4)
Each term in the second parenthesis is multiplied by each term in the first parenthesis, that is
y(y + 4) + 4(y + 4) ← distribute both parenthesis
= y² + 4y + 4y + 16 ← collect like terms
= y² + 8y + 16
Let <em>x</em> be the first number in the sequence. Then the first three numbers are
{<em>x</em>, <em>x</em> + 3, <em>x</em> + 6}
The next sentence says that the sequence
{<em>x</em> + 1, <em>x</em> + 9, <em>x</em> + 25}
is geometric, which means there is some fixed number <em>r</em> for which
<em>x</em> + 9 = <em>r</em> (<em>x</em> + 1)
<em>x</em> + 25 = <em>r</em> (<em>x</em> + 9)
Solve for <em>r</em> :
<em>r</em> = (<em>x</em> + 9)/(<em>x</em> + 1) = (<em>x</em> + 25)/(<em>x</em> + 9)
Solve for <em>x</em> :
(<em>x</em> + 9)² = (<em>x</em> + 25) (<em>x</em> + 1)
<em>x</em> ² + 18<em>x</em> + 81 = <em>x</em> ² + 26<em>x</em> + 25
8<em>x</em> = 56
<em>x</em> = 7
Then the three numbers are
{7, 10, 13}
Answer:
c= 25+0.05m
Step-by-step explanation:
Given that,
The phone company charges a flat rate of $25 per month. In addition they charge $0.05 for each minute of service.
$25 is fixed here and charge $0.05 for each minute of service.
We need to find the equation that can be used to find the monthly charge based upon the number of minutes (m) of service each month.
c= 25+0.05m
Hence, this is the required equation.
We are asked to solve for:
P (sand | positive)
So, we solve this by:
P (sand | positive) = P (sand) x P (positive for sand)
P (sand | positive) = 0.26 (0.75)
P (sand | positive) = 0.195
The probability is 0.195 or 19.5%.
Answer: 4in
Step-by-step explanation:
Diameter is the radius * 2. The radius is 2in. 2 * 2 = 4