Answer:
The 29th term is
<h2>243</h2>
Step-by-step explanation:
The above sequence is an arithmetic sequence
For an nth term in an arithmetic sequence
U(n) = a + ( n - 1)d
where n is the number of terms
a is the first term
d is the common difference
From the question
a = - 121
d = -108 -- 121 = - 108 + 121 = 13
Since we are finding the 29th term
n = 29
The 29th term of the sequence is
U(29) = - 121 + ( 29 - 1) 13
= -121 + 28(13)
= -121 + 364
The final answer is
<h2>243</h2>
Hope this helps you
Let list the data in ascending order 100, 100, 105, 113, 129, 132, 146, 152, 176, 200
There are ten numbers so the thirtieth percentile would be the .3 * 10
= 3rd number, ordered from smallest to largest.
so the third number, the thirtieth percentile, is 105
The 8 pack of 1 quart bottles of lemonade is the higher price unit because 4 gallons equal 16 quarts. 16 divided by 2= 8 and 24 divided by 2 =12 dollars. so therefore 8 quarts of "lovin lemon" company is $12 and 8 quarts of "sweet and sour" company is $16 so THE ANSWER IS: "SWEET AND SOUR" COMPANY HAS THE HIGHER UNIT RATE.
Answer:
The distance is 8 cm
Step-by-step explanation:
The chord and the diameter form one leg and the hypotenuse of a right triangle. The other leg, BD, has length ...
BD² +AB² = AD²
BD² = AD² -AB² = 34² -30² = 256
BD = √256 = 16
The segment from the center of the circle to the midpoint of the chord is the midline of triangle ABD, so is half the length of BD.
distance from AB to the center = 16/2 = 8 . . . cm
y = mx + b, where m = slope, and b = y-intercept.
Since you are not given the y-intercept, you have to solve for it through the equation, y = (4/5)x (which is the slope you are given) + b, and replace x and y with values given, which are (-5,-3)
y = (4/5)x + b
-3 = (4/5)(-5) + b
-3 = -4 + b
1 = b
Then replace b in the first equation to get the answer
y = (4/5)x + 1