If a1=10 and an=an-1+4 then find the value of a5
Answer:
26
Step-by-step explanation:
Each term is the previous with 4 added to it.
a1 = 10, a2 = 14, a3 = 18, a4 = 22, a5 = 26
The value of [tex]a_{5}[/tex] will be equal to 26 .
It is given that [tex]a_{1}[/tex]= 10 and [tex]a_{n} = a_{n-1} + 4[/tex].
We have to find the value of [tex]a_{5}[/tex].
What do you mean by sequences ?
Sequences are a list of numbers which are arranged in a special manner i.e., 2 , 4 , 6 , 8 numbers of this sequence gets increased by 2 every time.
As per the question ;
The first term ; [tex]a_{1}[/tex]= 10
and given ;
[tex]a_{n} = a_{n-1} + 4[/tex]
So ;
2nd term will be ;
[tex]a_{2} = a_{1} + 4[/tex]
[tex]a_{2}[/tex] = 10 + 4
or
[tex]a_{2}[/tex] = 14
Now ;
3rd term will be ;
[tex]a_{3} = a_{2} + 4[/tex]
[tex]a_{3} = 14 + 4[/tex]
[tex]a_{3}[/tex] = 18
Hence , the common difference is d = 4.
So ;
4th term will be ;
[tex]a_{4}[/tex] = 18 + 4
[tex]a_{4}[/tex] = 22
and
5th term will be ;
[tex]a_{5}[/tex] = 22 + 4
[tex]a_{5}[/tex] = 26
Thus , the value of [tex]a_{5}[/tex] will be equal to 26 .
To learn more about sequences click here ;
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7400 dollars is placed in an account with an annual interest
rate of 6%. To the nearest year, how long will it take for the
account value to reach 19200 dollars?
Answer:
17
Step-by-step explanation:
We have the following equation for compounding annual interest
AV=PV(1+i)ⁿ
We have
19200=7400(1+.06)ⁿ
Solve for n
divide both sides by 7400
2.594=(1.06)ⁿ
then use the following rule for exponents
[tex]x^y=z\\log_xz=y[/tex]
which means that
[tex]log_{1.06}2.594=n[/tex]
Solve and get
16.362
which rounds to 17
Help it says to make a triangle and I don't know wut I'm doing wrong. I already got (6,4) like a lot of ppl said but it still says I'm wrong.
Answer:
this is pythagorus theorem
the height is 7,2
the distance is d
d^2 = 5^2 + 4^2
hope this helps
Add or Subtract to simplify
Answer:
-5x^5 + 2x^3 - 6x should be your answer
A zoo has 60 penguins total if the emperor penguins make up 35% of all the penguins at the zoo how many emperor penguins are at the zoo?
Answer:
21 emperor penguins
Step-by-step explanation:
1. Convert 35% to decimal form
0.35
2. Multiply 0.35 by 60
21
3. The answer is 21
The endpoints of a line segment are located at (–4, 7) and (6, –3). What is the length of the line segment? Round to the nearest tenth.
Answer:
-14.1
Step-by-step explanation:
well I dont feel like explaining just go there
The volume of a cylinder is 471 cm? If the
height is 6 cm, calculate the radius.
Someone plz help
Answer:
Step-by-step explanation:
Formula for volume of a circle: V=πr²
If you multiply the circle by height, it becomes a cylinder.
Formula for volume of a cylinder: V=πr²h
Plug in the numbers and get r by itself:
471 = πr²(6)
Divide both sides by 6:
78.5 = πr²
Divide both sides by π:
25 = r²
Square root both sides:
[tex]\sqrt{25}[/tex] = [tex]\sqrt{r} \\[/tex]²
5 = r
Radius is 5 cm
Evaluate 6(-3) -1-51 +131 =
-20
-10
16
find the value of each variables
Answer:
Step-by-step explanation:
Two similar triangles.
10/26 = y/13
y = 5
x² = 13² - y² = 144
x = 12
What value of x will make the equation below true?
х/6=15
Answer:
x+90
90/6=15
15=15
Step-by-step explanation:
The line L is shown on the grid.
Find an equation for L.
Give your answer in the form y=mx+c
Answer:
y = -5x - 5
Step-by-step explanation:
Given the standard form of an equation as y=mx+c
m is the slope
c is the intercept
Using the coordinate points
(1, 0) and (0,-5)
m = -5-0/0+1
m = -5/1
m = -5
Get the intercept
Intercept is the point where thee line cuts the y axis. intercept is -5
Get the equation:
Recall that y = mx+c
y = -5x + -5
y = -5x - 5
This gives the required equation
Lacey has $36 to spend. She buys a pair of sunglasses for $14.89 and a hat for $9.33. Lacey buys a scarf with the remaining money. How much does Lacey spend buying a scarf? (1 point)
$4.66
$7.44
$11.78
$24.22
Answer: 11.78
Step-by-step explanation: You have to minus 36 by the cost of the hat and sunglasses.
Answer:
11.78
Step-by-step explanation:
Lacery has 36 dollars so she only has 36
she buy a pair of sunglasses for 14.89 14.89
ans buys a hat for 9.33
add 9.33 and 14.89 which u get 24.22
36.00
minus
24.22 equals 11.78
The veterinarian weighed Oliva's new puppy, Benz, on a defective scale.
He weighed 24 pounds. However, Boaz weighs exactly 26.75 pounds.
What is the percent of error in measurement of the defective scale to
the nearest tenth?
Your answer
Help plss
Answer:
[tex]\boxed{x = 10.28 \%}[/tex]
Step-by-step explanation:
[tex] \frac{(26.75)x}{100} = 2.75 \\ \boxed{x = 10.280373832}[/tex]
plz help due soon branniest to whoever right
Answer:
Step-by-step explanation:
Domain: all real numbers
Range: y<0
i think this is right, sorry if it is wrong
Which two operations are needed to write the expression that represents "eight more than the product of a number and two"? O multiplication and subtraction O division and subtraction O multiplication and addition O division and addition
Answer:
O multiplication and addition
Step-by-step explanation:
let no be n
"eight more than the product of a number and two=2n+8
What is the volume, in cubic cm, of a cylinder with a height of 16cm and a base radius of 3cm, to the nearest tenths place?
Answer:452
Step-by-step explanation:
V = π r^2 h
= 3.14 * 3^2 * 16
= 3.14 * 9 * 16
= 452.16
help me pls this is 8th grade math fastest answer gets brainliest show work pls
Answer:
10/10 = 1
x2/x2 = 1
x3/x3 = 1
10 raise to power 4/ 10 raise to power 2 = 10 raise to power 2
5 raise to power 5/ 5 raise to power4 = 5
x raise to power 7/ x raise to power 5 = x raise to power2
Step-by-step explanation:
I hope this helps a little bit.
y= 5x + 13
and
y= x + 45
Answer:
x=8 and y=53
Step-by-step explanation:
Given function:
y=5x+13y=x+45Find x:
the two equation, the x and are breaked apart..so find a number that they can both equal to together and has the same y. multiply by 8..[tex]5[/tex]·[tex]8=40[/tex] combine the terms for x and 13[tex]40+13=53[/tex] since x is 8 then if we add 8 with 45 it should be 53...[tex]8+45=53[/tex]y is:
this means that y=53.Therefore, x=8 and y=53..
CAN SOMEONE PLEASE HELP ME I NEED THIS ASAP
PLSS HELP. WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT FIRST
Answer:
it is a linear graph ♂u think that at what distans he do read page in a hour
A computer store buys a computer system at a cost of $357.60. The selling price was first at $596,
but then the store advertised a 40% markdown on the system. Answer parts a and b.
a. Find the current sale price
Answer:
238.40
Step-by-step explanation:
you need to use "PRT"( Principal× Rate×time) but since it doesn't give us the time, we'll be only doing principal×rate. just multiply 596 and 40% And don't forget to put the percent sign bc it would change the price!! and I hope that helps u
Ik it’s a lot and srry but can somebody answer 15,16 and 17?
Answer:
16. x = 16
17. x = 11
Step-by-step explanation
15.
a. 58* Angle 2 = Angle 4 Angle 1 + Angle 2 = 180*
b. 58* Angle 3 + Angle 4 = 180*
c. 58* Angle 1 = Angle 6
d. 58* Angle 6 = Angle 8
e. 122* Angle 4 = Angle 2
f. 122* Angle 4 = Angle 5
g. 122* Angle 5 = Angle 7
16. Alternate Interior angles. They're equal.
10x - 29 = 8x + 3
2x = 32
Divide by 2 to isolate x
x = 16
double check by putting 16 in for x to see if original statement is true
10 (16) - 29 = 8 (16) + 3
160 - 29 = 128 +3
131 = 131
17. Consecutive interior angles. They equal 180*
13x - 26 + 5x + 8 = 180
18x - 18 = 180
18x = 198
Divide by 18 to isolate x
x = 11
Double check
13 (11) - 26 + 5 (11) + 8 = 180
143 - 26 + 55 + 8 = 180
180 = 180
HELPPPP I have no idea how to do graphhhsssss
Answer:
Follow the lines
Step-by-step explanation:
Follow what the lines go with what the table has.
To make this really easy, find the slope of the line
To do this you find an easy point.
Ex. x=3 and y= 150
then take it into a slope y-intersept formula
y= mx
150= 3x
50 = x
so for every time x goes up one interval, y increases at a rate of 50.
And for y, do the opposite, for every 50 y, x goes up 1.
By following this linear path, you should really beable to solve the graph on the right. (If you need to, use a calculator for dividing the y numbers by 50 to get x)
y= 50x is ur slope/formula
(Ill leave the rest for you to answer with this data above ;) )
Hope This Helps :)
helppp asap please!!
Answer:
p= 8250
r=7.25
t= 3 years
p×r×t
figure out the rest
HELP!!
Find the distance between each pair of points. Round your answer to the nearest 10th if necessary.
Answer:
The slope is 2/1 or 2, my amigo
Solve for w,x,y and z
Answer:
Step-by-step explanation:
2y - 6 + y = 180 {Co-interior angles}
3y - 6 = 180
3y = 180 + 6
3y = 186
y = 186/3
y = 62
y + w = 180 {Linear pair}
62 +w = 180
w = 180 - 62
w = 118
ΔILK ,
∠L + ∠ I + ∠K = 180 {Angle sum property of triangle}
w + z + 30 = 180
118 + z + 30 = 180
z + 148 = 180
z =180- 148
z = 32
x = z {Alternate interior angles}
x = 32
For your batch of cookies, you'll need 2 cups of chocolate chips for every 5 cups of cookie dough mix. You have 30 cups of cookie dough mix, how many cups of chocolate chips?
2/5=x/30 so first one times by 6 and to get 12
Can somebody help me with this math question, all you have to do is answer the equation, then it's described, and then it draw it out I'll give you 100 points and a Brainliest
Answer:
x=-2
Step-by-step explanation:
add 18 to both sides, simplify, add 6x to both sides, simplify, divide both sides by -12.then simplify again... I hope that helps...
simplify the rational expression: x-a/7x + 5x-5a/7x
Answer:6x - (6xa)/(7)
Step-by-step explanation:
How do you identify the bases of any prism?
Answer:
Look at the names of the prisms above. Each type of prism is named after its base. In the figure on the left, the base is a rectangle, so it is called a rectangular prism. In the middle, the base is a triangle, so the shape is a triangular prism.
Step-by-step explanation: