Answer:
x=-2
Step-by-step explanation:
Consider equation -11=5+8x
Collecting the like terms
-8x=11+5, -8x=16
Dividing through by -8 ob both sides of the equation
(-8x)-/8=16/-8
x=-2
Answer: 120 beats per minute
Step-by-step explanation:
If you look at the plotted points on the graph, you can see that the rate is decreasing at a constant rate. As each week passes, the beats per minute rate drops by 10 beats. Therefore on Week 5, the heart rate will be 120 beats per minute.
The polar equation will be
<h3> What is the polar equation?</h3>
A polar equation is any equation that expresses the relationship between r and theta, where r is the distance between the pole (origin) and a point on a curve, and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive x-axis.
From the equation, we are told that
The Eccentricity: e = 1
The Directrix is y = 4
Generally, the polar equation for e = 1 and y = + c is mathematically represented as

Therefore the polar equation will be
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Answer:
Tara's current expression finds how much the school will be keeping. 50 x 2/5 (also written as 50 x 0.4) totals out as 20. $20 is 2/5 of $50. The expression that Tara SHOULD have written to find how much goes to the candle company would be 50 x 3/5 (also written as 50 x 0.6), as this adds up to 30. $30 is 3/5 of $50.
Step-by-step explanation:
50/5 = 10 which means that 1/5 of 50 = 10.
2/5 of 50 ($20) is kept by the school. This is what Tara's expression finds. This means that $30 is sent to the candle company, and can be found with the expression 50 x 3/5.
The decimals are created by dividing the numerator of the fraction by the denominator (I find it easier to do math with decimals).
Answer:Speed = 314.16 feet/min
Step-by-step explanation: