Step-by-step explanation:
common ratio is usually used for geometric sequences.
every term is created by multiplying the previous term by a certain constant factor (= common ratio).
this factor or common ratio is in our case 4.
such a sequence is a function f(x) for x being whole numbers.
a0 = 1
a1 = a0×4 = 1×4 = 4
a2 = a1×4 = 4×4 = 16
...
an = 4^n
as general function that is then
f(x) = 4^x
a horizontal shift right by 6 units means that now the functional value of x is the same as it was for (x-6) before the shift.
e.g. f_new(6) = f_old(0)
so, the function is
f(x) = 4^(x - 6) or (4^x)/4⁶
please ifs due today!!
The base of a triangle is (x - 3) inches. The height of a triangle is 4.5 inches. If the area is 27 square inches, what is the value of x?
Answer:
x=15 inches
Step-by-step explanation:
Area of ∆ is 27sq inches
Height is 4.5 inches
base is (x-3) inches
Area of ∆= ½×b×h
27= ½×(x-3)×4.5
27=2.25×(x-3)
27=2.25x-6.75
2.25x=27+6.75
2.25x=33.75
x=33.75/2.25
x=15 inches
1.) 7x+4=46
2.) 4x+9=17
3.) 2x+1=1
how do you solve it
Answer:
1.) you're going to subtract 4 from 46
46-4= 42
7x=42
Then you divide 7 from 42 and get 6..........x=6
2.) you're going to do the same thing for this one
17-9=8
4x=8
8÷4=2
x=2
3.) you're going to do the same thing
1-1=0
2x=0
0÷2=0
x=0
Step-by-step explanation:
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
Mar 31, 2:56:59 PM
Ryan needed to get his computer fixed. He took it to the repair store. The technician
at the store worked on the computer for 3.75 hours and charged him $192 for parts.
The total was $398.25. Which equation could be used to represent
the context if x represents the cost of labor per hour?
i need help with this math
Answer:
11
Step-by-step explanation:
Answer:
k = 11
Step-by-step explanation:
4k + 39 = 7k + 6 ( subtract 7k from both sides )
- 3k + 39 = 6 ( subtract 39 from both sides )
- 3k = - 33 ( divide both sides by - 3 )
k = 11
(25 POINTS!!!!) HELP
Answer:
Step-by-step explanation:
find the sum of all even numbers between 1 to 350
P = $700, r = 5%, t = 8 years; compounded quarterly
HELP ME ASAP!!!
Answer:
$1,041.69
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 5/100
r = 0.05 rate per year,
Then solve the equation:
Forumla; P(1 + r/n)nt
700.00(1 + 0.05/4)(4)(8)
700.00(1 + 0.0125)(32)
$1,041.69
hope this helps!
Answer:
$1,041.69
Step-by-step explanation:
Compound interest formula: [tex]A=P(1+\frac{r}{n})^{nt[/tex]
A = amount (future value ($))
P = principal (orignal amount - $700)
R = rate (written as a decimal - 5%/100= 0.05)
N = compound (quarterly - 4) 4 quarters in 1 yr.
T = number of years (8)
[tex]A=P(1+\frac{r}{n})^{nt[/tex]
[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=700(1+\frac{0.05}{4})^{4*8} < == start\ from\ the\ parenthesis\ and\ divide\ first\\\\A=700(1+0.0125)^{4*8} < == add\ the\ \#s\ in\ the\ parenthesis\\\\A=700(1.0125)^{4*8} < == multiply\ the\ exponents\\\\A=700(1.0125)^{32} < ==multiply\\\\A=700(1.488131) < ==multiply\\\\A=1041.691\\\\A=$1,041.69[/tex]
Hope this helps!
Question in picture below.
the question is too hard
Answer:
a
Step-by-step explanation:
7(g-9)+12=26
7(g-9)+12-12=26-12
7(g-9)=14
7(g-9)/7=14/7
g-9=2
g-9+9=2+9
g=11
Answer:
(A) G= 11
Step-by-step explanation:
26=7(g-9)+12
(take 12 to 26)
so it will be 7(g-9)= 26-12
=> 7(g-9)= 14
(then take 7 to 14)
=> g-9= 14/2
=> g-9= 2
(then take 9 to 2)
g= 2 + 9
g= 11hope it is properly explained
STAY SAFE, HAVE A NICE DAY
-59 from -100 please help
Answer:
I think the answer will be - 159
Because the number with similar sign are always added
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Solve Systems of Equations Using the Substitution Method
6x - y= -4
2x + 2y = 15
I genuinely do not understand this concept at all, it would be AMAZING, if you could explain this as well.
Thanks, all.
Answer:
x= ½, y= 7
Step-by-step explanation:
[tex]\textcolor{steelblue}{\text{\textcircled{1} Label the equations}}[/tex]
6x -y= -4 -----(1)
2x +2y= 15 -----(2)
[tex]\textcolor{steelblue}{\text{\textcircled{2} Make y the subject of formula}}[/tex]
We could also make x the subject of formula in one equation, however the equation can be easily rearranged so that the coefficient of y is 1. This can be done by moving the y term to the right hand side of the equation, and the rest to the left. Note that each time you bring a term or constant over to the other side of the equation, its sign changes (e.g. positive to negative).
From (1):
6x +4= y
y= 6x +4 -----(3)
Label the equation as equation (3) so we can refer to it easily later.
[tex]\textcolor{steelblue}{\text{\textcircled{3} Substitute (3) into (2)}}[/tex]
Now that we have an equation of y that is written in terms of x, we can replace all the y in equation (2) so that the whole equation is only in terms of x.
Subst. (3) into (2):
2x +2(6x +4)= 15
Expand:
2x +12x +8= 15
Simplify:
14x +8= 15
14x= 15 -8
14x= 7
x= 7 ÷14
x= ½
[tex]\textcolor{steelblue}{\text{\textcircled{4} Find y}}[/tex]
Substitute x= ½ into (3):
y= 6(½) +4
y= 3 +4
y= 7
ZA and ZB are vertical angles. If mA = (2x - 4)º and mZB = (4x - 30),
then find the value of x.
Answer:
x=13
Step-by-step explanation:
2x-4 = 4x - 30
-4 = 2x - 30
26 = 2x
x = 13
According to the Graffalo the slope line B is ?:
Answer:
yes ikr
Step-by-step explanation:
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
How far is 75% of a 2,000-kilometre trip?
Answer:
1500
Step-by-step explanation:
Simply multiply 0.75 by 2000 to get the percent of the trip, 1500. Hope this helps!
Zeema gets paid £13,440 per annum.
Assuming she gets paid in equal monthly payments, how much does she earn per month?
Answer:
2130 per month
Step-by-step explanation:
25,560 / 12
2130
Please help with both questions
Refer to the attachment for your answer, just remember the fact that as x is an integer in 2nd question and x > 3.66... so x's smallest value will just be 4, and in 1st question you can use the number line for a better understanding
What is the measure of angle w°? Show all work.
The table below shows a proportional relationship. True or False?
According to the image, the table shows a relationship that is not proportional. First of all, you cannot multiply a number by 0 and get something other than 0. Anything multiplied by 0 is always 0.
Second, the rule is different for each row.
2x5=10
4x4=16
6x3.6=22
A proportional relationship must increase by the same amount, and this does not, which means it is not proportional.
Find common ratio
0+4(1)=42+4(2)=104+4(3)=166+4(4)=22Yes they are proportional
Find the value of x.
A. 53°
B. 72°
C. 39°
D. 48°
Answer: 53
Step-by-step explanation:
Kristen drank 7 cups of orange juice in the morning and 1/4 of a cup in the afternoon. How much orange juice did Kristen drink in all?
find the sum of the interior angle measures of a regular polygon with 22 sides
Answer:
Step-by-step explanation:
We can split this into 20 triangles, each with an angle sum of 180 degrees.
So 180(20) = 3600 degrees.
From the tip of a 9 foot tree, to the end of it's
shadow is 15 feet. Which is longer, the tree
or the shadow? By how much?
Answer:
The shadow is longer by 3ft
Step-by-step explanation:
A simple a^2 + b^2 = c^2 problem
81 + b^2 = 225
b = 12ft
solve for x use the trig to find angle
[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]
Let's solve, using Trigonometry ~
[tex]\qquad \sf \dashrightarrow \: \tan(x) = \frac{54}{72} [/tex]
[tex]\qquad \sf \dashrightarrow \: \tan(x) = \frac{3}{4} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = \tan { }^{ - 1} ( \frac{3}{4} ) [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 37 \degree[/tex]
Answer:
[tex]\displaystyle 36,9[/tex]
Step-by-step explanation:
[tex]\displaystyle 1\frac{1}{3} = cot\:x \hookrightarrow cot^{-1}\:1\frac{1}{3} = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x[/tex]
OR
[tex]\displaystyle \frac{3}{4} = tan\:x \hookrightarrow tan^{-1}\:\frac{3}{4} = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x[/tex]
Information on trigonometric ratios
[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]
I am joyous to assist you at any time.
6. The circle in the center of basketball court is being painted. The circle has a radius of 9 feet. What is the circumference of the circle? Leave your solution in terms of pi.
Answer:
18pi
Step-by-step explanation:
Circumference = 2 Pi R
c = 2 x 9 x Pi
c = 18Pi
what are the features of function g if g(x)=f(x + 4) + 8?
vertical asymptote of x= -4
domain of (4, [infinity])
y-intercept at (0,10)
x-intercept at (1,0)
range of (8, [infinity])
The correct statement is that the range of the function is (8, [infinity])
How to find the intercept, domain and range of a functionGiven the function as shown below:
g(x) = √(x + 4) + 8
The domain of the function is the point here x + 4 ≥ 0
Domain = x ≥ -4
In interval form, the domain of the function is [-4, 0)
The range of the function is the real values from 8 and above. Hence the range of the function is (8, [infinity])
Learn more on domain and range here: https://brainly.com/question/1942755
Some college friends have decided to go on a road trip over the summer with some friends. Finances are tight and they need to hire a car for the trip. There are two hire companies to choose from: Crazy Curly's charges a base fee of $20 and then 30 cents per mile. Bill's Beauties charges 20 cents per mile and a base fee of $50. - Write a system of equations that can be used to determine at what trip distance Bill's and Curly's rental cost would be the same. - At what trip distance would Bill's and Curly's rentals cost the same amount?
Answer:
300 milesStep-by-step explanation:
Let
y- the amount of charge, x - the number of milesThe equations as per question are below
Crazy Curly's
y = 0.3x + 20Bill's Beauties
y = 0.2x + 50Solve the system by substitution
0.3x + 20 = 0.2x + 500.3x - 0.2x = 50 - 200.1x = 30x = 30/0.1x = 300Which of the following is true about the decimal form of the number? 25/225
A It is neither a terminating decimal nor a repeating decimal.
B It is both a terminating decimal and a repeating decimal.
C It is a repeating decimal
Answer:
I think it's B because it stops but keeps going.
Step-by-step explanation:
What is the solution to h/-24<_18?
Answer:
h ≥ -432
Step-by-step explanation:
h/-24<=18
Multiply though by -24:
h ≥ -24*18
h ≥ -432
Note: the inequality signs flips as we are multiplying both sides by a negative value.
60 x 4 sqaure is what
Answer: 60 times 4 = 240 or 60 time 4 square is 960
Step-by-step explanation: