Answer:
Step-by-step explanation:
Givens
a = 2187
r = 1/3
L = 1/9
what is n
Formula
L = a*r^(n-1)
1/9 = 2187 * (1/3)^(n-1)
1/(9 * 2187) = (1/3)^(n - 1)
1/19683 = (1/3)^(n - 1)
=================
You need to break 19683 down into its prime factors.
19683 = 3* 729
19683 = 3 * 3 * 243
19683 = 3 * 3 * 3 * 81
81 = 3^4 so there are 4 more threes in the breakdown.
19683 = 3 * 3 * 3 * 3 * 3 * 3 * 3
1/19683 = 1/(3)^(7-1)
1/9 is the 6th term in the series.
A researcher studying koi fish collected data on three variables, A, B, and C. The following residual plots show the residual for a model for predicting each variable from the age of the fish.
A conclusion that a linear model between the variable and age is appropriate is supported by which plot or plots?
1.)A Only
2.)B Only
3.)C Only
4.)A and C only
5.)B and C only
Answer: A Only
Step-by-step explanation:
To determine that a linear model is appropriate, the residual plot should be randomly dispersed.
Answer:
1
Step-by-step explanation:
HELP PLEASE HELP ILL GIVE U 15 points and BRAINLIEST to the correct answer (DONT guess please)
Consider the function.
f (x)= -80 +4
What is the value of f (-1/4)?
A. 0
B.2
C. 3
D. 6
Answer: the answer is b
Step-by-step explanation:
Just trust me
A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 70 cm/s. Find the rate at which the area within the circle is increasing after each of the following. A. After 1 second B. After 5 seconds C. After 6 seconds
Answer:
(A) 30772cm^2/s
(B) 153860cm^2/s
(C) 184632 cm^2/s
Step-by-step explanation:
We are given
speed of the ripple = 70cm/s
this speed is increasing the radius which means speed = radius /time
radius = speed*time
r= 70t
Now we know the area of the circle
A = π[tex]r^2[/tex]
this area will be increasing as ripples in water will spread out
upon differentiating
dA/dt = 2πr * [tex]\frac{dr}{dt}[/tex]
dA/dt = 2π*70t*70 ( r= 70t , dr/dt = speed = 70)
dA/dt = 9800π*t
(A) after 1 second
dA/dt = 9800π*1=9800π = 30772cm^2/s
(B) after 5 seconds
dA/dt = 9800π*5 = 153860cm^2/s
(C) after 6 seconds
dA/dt = 9800π*6 = 184632 cm^2/s
need help.. The midpoint of GH is M(-6,-3). One endpoint is H (-4,4) Find the coordinates of endpoint G.
Answer:
The coordinates of G are: (-8, -10)
Step-by-step explanation:
Mid point formula:
[tex]x = \dfrac{x_1+x_2}{2}\\y = \dfrac{y_1+y_2}{2}[/tex]
Where,
[tex](x,y)[/tex] are the coordinates of the mid point of the points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
As per question statement, we are given that:
[tex]x_2=-4\\y_2=4[/tex]
and
[tex]x=-6\\y=-3[/tex]
To find:
[tex]x_1 = ?\\y_1 = ?[/tex]
Solution:
Let us use the mid point formula:
[tex]-6 = \dfrac{x_1-4}{2}\\\Rightarrow -12=x_1-4\\\Rightarrow x_1=-12+4\\\Rightarrow \bold{x_1=-8}[/tex]
[tex]-3 = \dfrac{y_1+4}{2}\\\Rightarrow -6=y_1+4\\\Rightarrow y_1=-6-4\\\Rightarrow \bold{y_1=-10}[/tex]
The coordinates of G are: (-8, -10)
Use the SLOPE FORMULA to find the slope of the line that passes through the given points.
(1.3) and (4-7)
Answer:
[tex]m=\frac{4}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (1, -3)
Point (-4, -7)
Step 2: Find slope m
Substitute: [tex]m=\frac{-7+3}{-4-1}[/tex]Add/Subtract: [tex]m=\frac{-4}{-5}[/tex]Simplify: [tex]m=\frac{4}{5}[/tex]If c, m, and n are integers, which of the following are NOT possible values of m and n for the equation below? (Equation in pic)
A. M=2, n=2
B. M=-1, n=5
C. M=-2, n=-2
D. M=1, n=3
Answer: C. m = -2; n = -2
have:
x² + 4x + c = (x + m)(x + n)
⇔ x² + 4x + c = x² + (m + n)x + mn
⇒ m + n = 4
mn = c
=> M=-2, n=-2 arent possible
Step-by-step explanation:
During a period of 112 minutes, a music station played 40 minutes of commercials. What
is the ratio of music they played to commercials they played?
Answer:
9:5
Step-by-step explanation:
112 - 40 = 72. 112 represents the total time, but you are comparing music to commercials, so you have to subtract the commercial time from the total time.Find the GCF of 72 and 40, which is 8. Divide 72 and 40. The simplified ratio is 9:5.Which statement about the diagram is true
Answer:
AB have the length of 9
Step-by-step explanation:
5 is to short 14 is too long in between would be 9
Please answer this thanks
Answer:
c
Step-by-step explanation:
i need help!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°
Answer:
A C E
Step-by-step explanation:
Someone please help thanks
Answer:
P=8T/V
Step-by-step explanation:
V=8T/P
PV=8T
P=8T/V
Write -2(pi)/9 in degrees.
Answer:
-40 DEGREES
Step-by-step explanation:
PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU 5.3x - 9 + 7.6x
Answer:
12.9x - 9
your welcome
What is the reciprocal of 8 5/6
Answer:
6/53
Step-by-step explanation:
The recently released iPhone XS Max comes in three different storage sizes: 64GB, 256GB, and 512GB. The price of the 64GB phone is $1,099. If prices were proportional to the phone's storage size, how much would the 256GB phone and the 512GB phone cost
Any help please
Answer:
iPhone XS Max: $1,249/256GB,
$1,449/512GB
Step-by-step explanation:
Got it !!!
Among all pairs of numbers whose sum is 12 , find a pair whose product is as large as possible. What is the maximum product? Show steps.
Answer:
We can only take positive number , Because negative is always smaller than positive.
We can take ,
6 + 6 = 12 .
6 x 6 = 36.
Where both are largest numbers possible.
Thus, the answer is 36.
The required pair of values which gives a sum of 12 and the largest product is 12
For a pair of numbers that sums of to 12 to ba as large as possible, then only positive integers would be considers.
11 and 1 = (11 × 1) = 11
10 and 2 = (10 × 2) 20
9 and 3 = (9 × 3) = 27
8 and 4 = (8 × 4) = 32
7 and 5 = (7 × 5) = 35
6 and 6 = (6 × 6) = 36
From the list, the highest product obtained is a value of 36. Hence, the number are 6 and 6.
Learn more : https://brainly.com/question/10905928
What is the value of [(3/5)^0]^-12
Answer:
The value is 1
Step-by-step explanation:
3/5 = 0.6
0.6^0 = 1
1^-12 = 1
The hours a week people spend answering and sending emails is normally distributed with a standard deviation of Ï = 150 minutes. How large of a sample size would you need to estimate the mean number of minutes people spend answering and sending emails with an error of 1 minutes with 99% confidence? What would be the practical problem with attempting to find this confidence interval?
Answer:
sample size n would be 149305 large
Value of n (149305) is too high, this will be the practical problem with attempting to find this confidence interval
Step-by-step explanation:
Given that;
standard deviation α = 150 min
confidence interval = 99%
since; p( -2.576 < z < 2.576) = 0.99
so z-value for 99% CI is 2.576
E = 1 minutes
Therefore
n = [(z × α) / E ]²
so we substitute
n = [(2.576 × 150) / 1 ]²
n = [ 386.4 ]²
n = 149304.96 ≈ 149305
Therefore sample size would be 149305 large
Value of n is too high, that would be the practical problem with attempting to find this confidence interval
Your friend and her parents are visiting colleges. They leave their home in Enid, Oklahoma, and drive to Tulsa, which is 107 mi east and 18 mi south of Enid. From Tulsa, they go to Norman, 83 mi west and 63 mi south of Tulsa. Where is Norman in relation to Enid?
What is the rate of change for the line that goes through the points (8,14) and (11, 19.25)
Answer:
1.75Step-by-step explanation:
The rate of change for the line that goes through the points (8,14) and (11, 19.25) is known as the slope expressed as;
slope m = y2-y1/x2-x1
Substitute the coordinate pairs into the formula;
m = 19.25-14/11-8
m = 5.25/3
m = 1.75
Hence the rate of change for the line is 1.75.
For which value of Theta is tan Theta equal to sin Theta?
A. pi
B. pi/2
C. pi/4
D. pi/6
Answer:
a. pi
Step-by-step explanation:
HELP!! Determine whether the pair of lines are parallel, perpendicular, or neither. 8x=3y+2 -16x+6y=2.
Answer:
24x - 9y=0
Step-by-step explanation:
8x=3y+2-16x+6y=2
8x=9y+2-16x=2
8x+16-9y=2-2
24x-9y=0
I need some help with these, I would appreciate it.
Pz Answer for Brainliest
Answer:
thank you for free point and have a nice day
Answer:
Where is the question
Step-by-step explanation:
What is an equation of the line that passes through the points (4,1) and (8,-3)?
PLZZ HELPP MEE!!
Answer:
y=-x+5
Step-by-step explanation:
(4,1)
(8,-3)
1)a slope of a line is (y2-y1)/(x2-x1)
so (-3-1)/(8-4)
-4/4=>m=-1
2)to find y-int replace any points in the equation by x and y
so 1=-1(4)+b
1=-4+b
1+4=b
so b= 5
therefore the equation is y=-x+5 so d
What is the value of 15/2+I?
Answer:
First, make the denominators
15/2+2/2
Then, add
17/2
If you want it in decimal points
8.5
Step-by-step explanation:
I hope I explained well, please give me brainliest
4) What are all the subsets of (3, 5, 7)?
ANSWER: 1 is a subset of 3,5,7
Answer:
X=(0,3) (3,0) Y=(0,5)(5,0) Z=(7,0) (0,7)
Step-by-step explanation:
suppose ,3=x ,5=y and 7=z
0 is the common number
-3 -2e -7 = 10
e =
Solve for e
Answer:e=-10
Step-by-step explanation:
-2e-7=13
-2e=20
e=-10
What is 5 to the 3 power simplifyed
Answer: 125
Step-by-step explanation:
5^3=5*5*5=125
Answer:
125
Step-by-step explanation:
5^3 = 5 times 5 times 5
5 times 5 = 25
25 times 5 = 125
Plz help me with this
hi!
so you're trying to find the value of n, I assume.
(n +2) / 5 = -3
n + 2 = -3 * 5
n + 2 = -15
n = -17
hope this helped!