Answer:
The coordinates of C" are (-7, 4)
Step-by-step explanation:
- If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)
- If the point (x, y) translated horizontally to the left by h units, then its image is (x - h, y)
From the given figure
∵ ABCD is a trapezoid
∵ The coordinates of the ponit C are (4, 1)
∴ x = 4 and y = 1
∵ The trapezoid is rotated 90 degrees counterclockwise about the origin
→ By using the 1st rule above, change the sigh of y and switch them
∴ C' = (-y, x)
∴ C' = (-1, 4)
∵ The resulting image is translated 6 units left
→ By using the 2nd rule above subtract the x-coordinate by 6
∴ C" = (x - h, y)
∵ h = 6
∵ x = -1 and y = 4
∴ C" = (-1 - 6, 4)
∴ C" = (-7, 4)
∴ The coordinates of C" are (-7, 4)
Answer:
Option D is correct.
Explicit formula for the geometric sequence is, 
Step-by-step explanation:
Geometric sequence states that a sequence of numbers in which the ratio between consecutive terms is constant,
we can write a formula for the nth geometric sequence in the form of:
.....[1] where 
is the first term and r is the common ratio between successive term.
Given the sequence: 64, 32, 16 , 8......
Here, first term () = 64.
Common ratio(r) = 0.5
Since,
,
......
Substitute the value of a and r in [1] we get;
therefore, the explicit formula for the geometric sequence is,
Answer:
The final balance is $853.63.
The total compound interest is $453.63.
The compound interest on initial balance is $59.47.
The compound interest on additional deposits is $394.16.
The final balance of initial money is $459.47.
The final balance of additional deposit is $394.16.
The sum of the additional deposits is $0.
The total principal (initial balance plus total additional deposits) is $400.
Step-by-step explanation:
with the information you provided
choose as brainliest
Answer:
B. The value is a parameter because the career at-bats of a baseball player are a population.
Step-by-step explanation:
The hitter had a career batting average of 0.366.
This value comes from information about the population of every time he has ever gone up to bat. Therefore, it is a parameter.
If on the other hand, we take the batting average of 5 games, the 5 games will be a sample and the batting average will be a statistic.
Answer:
Choice 3
Step-by-step explanation:
The third fraction (third refers to the answer number) is incorrect. As written, the cups won't cancel. The correct way to do this is to invert the fraction.
4 tablespoons
===========
1/4 cup
This is an extremely important procedure to know. Make sure you understand what the basis of it is. Often times in higher physics, you don't have a proper relationships and this method (called dimensional analysis) is the only tool you have to work with.
So each term has at least 1 cancelation that occurs with the prior term. And it is the units that you look to cancel, and that determines which way to put the intermediate steps.
