Answer:
D. 11
Step-by-step explanation:
T = total savings
w = number of weeks
Paige:
T = 350 + 25w
Cindy:
T = 190 + 40w
In how many weeks will Cindy have more money in her savings than Paige
Equate the total savings of both of them
350 + 25w = 190 + 40w
Collect like terms
350 - 190 = 40w - 25w
160 = 15w
w = 160/15
w = 10.67
Approximately,
In 11 weeks, will Cindy have more money in her savings than Paige
Check:
Paige:
T = 350 + 25w
= 350 + 25(11)
= 350 + 275
= 625
Cindy:
T = 190 + 40w
= 190 + 40(11)
= 190 + 440
= 630
Answer:
C
Step-by-step explanation:
the factor of x in the equation is the slope, which is the ratio y/x indicating how many units y changes, when x changes a certain amount of units.
going from the left point to the right point x changes by +3 units, and y changes by -1 unit.
so, the slope (and factor of x in the equation) is -1/3.
and the constant term in the equation is the y (axis) intercept of the line.
this is the y value, when x = 0 (intercepting the y axis).
and we see in the graph, when x = 0, the line goes through y = 2.
so, the equation has to be
y = -1/3 × x + 2
therefore, C is the right answer.
Factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
<span>Factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, </span>28, 42, 84
The outside term multiplies by the outside term on the oposite side to equal the answer.
Example:
Look at the factors of 84
84X1=84
2X42=84
3X28=84
and so on!
Answer:
25000m/s
Step-by-step explanation:
The following formula is used to calculate the speed or velocity of a wave.
V = f * w
Where V is the velocity (m/s)
f is the frequency (hz)
w is the wavelength (m)
First, determine the frequency.
Calculate the frequency of the wave.
Next, determine the wavelength.
Calculate the wavelength of the wave.
Finally, calculate the wave speed.
Using the formula above, calculate the wave speed.
<u>ANSWER</u>

<u>EXPLANATION</u>
The Cartesian equation is

We substitute


and

This implies that

Let us evaluate the exponents to get:

Factor the RHS to get:

Divide through by r²

Apply the double angle identity

The polar equation then becomes:
