Answer:1. Is right 3 down 5, because to get from x(0,0) to x'(3,-5), you need I shift to the right 3 and downwards 5.
2. Counterclockwise 180 degrees. This is because 180 degrees is half of a full rotation (360 degrees), meaning the point would be the same no matter which way you rotated 180 degrees.
3. Clockwise 90 degrees. Going counter clock wise 270 degrees is like going around 3/4 of a circle (because 270/360 is 3/4). Just as well, going clock wise 90 degrees is like going 1/4 of the circle, but in the opposite direction. This means they will both land at the same point.
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Step-by-step explanation:
Answer:
Step-by-step explanation:
In order to write the series using the summation notation, first we need to find the nth term of the sequence formed. The sequence generated by the series is an arithmetic sequence as shown;
4, 8, 12, 16, 20...80
The nth term of an arithmetic sequence is expressed as Tn = a +(n-1)d
a is the first term = 4
d is the common difference = 21-8 = 8-4 = 4
n is the number of terms
On substituting, Tn = 4+(n-1)4
Tn = 4+4n-4
Tn = 4n
The nth term of the series is 4n.
Since the last term is 80, L = 4n
80 = 4n
n = 80/4
n = 20
This shows that the total number of terms in the sequence is 20
According to the series given 4 + 8 + 12 + 16 + 20+ . . . + 80
, we are to take the sum of the first 20terms of the sequence. Using summation notation;
4 + 8 + 12 + 16 + 20+ . . . + 80 =
Answer:
Each dark chocolate tuffle was $6.
Step-by-step explanation:
This question can be solved by a system of equations.
Four white chocolate truffles (W) cost the same as three dark chocolate truffles (D).
So 
The parent bought 3 white chocolate truffles(W) and 6 dark chocolate truffles (D), and spent $49.50.
So
Each dark chocolate tuffle was $6.
Answer:
a. 1.645 multiplier = 5% critical value
b. 95
Step-by-step explanation:
Note that in statistical analysis probability principles are often used. The critical value from the critical region indicates whether the statistician should reject or accept the null hypothesis.
Note that the confidence multiplier is a constant that shows the number of standard deviations in a normal curve; the deviation standard<em> implies the measure of difference between the observed value of a variable and some another value.</em>
The distance between the bottom of the lighthouse and the boat is 77.6m.
<h3>What is the
distance between the
bottom of the lighthouse and the
boat?</h3>
The lighthouse and the boat would form a right triangle. The height would be the height of the lighthouse. The distance between the top of the lighthouse and boat would be the hypotenuse. The distance between the bottom of the lighthouse and the boat would be the base.
In order to determine the required distance, Pythagoras theorem would be used.
The Pythagoras theorem: a² + b² = c²
- where:
a = length - b = base
- c = hypotenuse
125² = 98² + b²
b² = 125² - 98²
b = √(25² - 98² )
b = 77.6m
To learn more about Pythagoras theorem, please check: brainly.com/question/14580675
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