Answer:
The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even
Step-by-step explanation:
[tex]4^1 = 4\\4^2 = 16\\4^3 = 64\\4^4 = 256 \\4^5 = 1024\\4^6 = 4096\\4^7 = 16384\\4^8 = 65536[/tex]
The conjecture is that the unit digit of 4^n = 4 when n = odd also 4^n = 6 when n = even
To prove this conjecture
[tex]4^1 = 4\\4^2 = 16[/tex] unit digit = 6
hence the property is true for ; n = 1 and n = 2 and also for every odd and even number ( i.e. from 1 to 8 )
If 200 men can make a road 5 km long in 25 days ,how much overtime per day must 60 men can work to finish an road 2 km in 32 days , 12 hours being a day's work ?
Answer:
Solution with step by step explanation is the image attached below
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]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.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 !!!
Which equation has infinitely many solutions?
PLEASE HELP ME SIMPLIFY THIS PLEASE SHOW WORK TO! THANK YOU 5.3x - 9 + 7.6x
Answer:
12.9x - 9
your welcome
-3 -2e -7 = 10
e =
Solve for e
Answer:e=-10
Step-by-step explanation:
-2e-7=13
-2e=20
e=-10
What is the image of 2,-1 after a reflection over the y axis
There are no images included, but it would be -2,-1.
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:
Please answer this thanks
Answer:
c
Step-by-step explanation:
Apply the distributive property to the expression to write an equivalent expression.
5x + 35
Complete the statements.
Find the GCF of
.
Now, factor out the GCF by dividing each term in the expression by
.
5x divided by the GCF is
, and 35 divided by the GCF is
.
The equivalent expression is
.
SOMEONE PLS HELP I'M. DYING PLS
Answer:
I don't get it everyone is telling the wrong answers am here to tell you guys and girls the right answer. The answer is : D A B B C your welcome
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
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
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
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?
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
Someone please help thanks
Answer:
P=8T/V
Step-by-step explanation:
V=8T/P
PV=8T
P=8T/V
Please help...20 points! And explain
Reduce the fraction and find the domain.
[tex]\frac{a(x-2y)}{b(2y-x)}[/tex]
Thanks!
Answer:
-a/bStep-by-step explanation:
a(x - 2y)/b(2y - x) = ⇒ consider x - 2y = - (2y - x)-a(2y - x)/b(2y - x) =-a/bwhat is 40/17 rounded to the nearrst hundreth as a decimal
Answer:
★ 40 over 17 is roughly 2.35294, which can be rounded to the nearest hundredth as 2.35
Step-by-step explanation:
Hope you have a great day :)
Write -2(pi)/9 in degrees.
Answer:
-40 DEGREES
Step-by-step explanation:
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.
I need some help with these, I would appreciate it.
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:
Is 13 a solution to the compound inequality d>5 and x<10
Answer:
Step-by-step explanation:
13>5 is correct but 13 < 10 is not correct
so 13 is not a solution
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
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)
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:
An african elephant in rhe wils will eat for as long as 16 hours each day. For how many hours does an elephant eat in one year? There are 365 days in one year.
Answer:
5840
Step-by-step explanation:
16 x 365 is 5840
Answer:
5,840
Step-by-step explanation:
16x365=?
16x365=5,840
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