Answers
Answer:
137
Step-by-step explanation:
Hope this helped
Related Questions
The first, third and thirteenth terms of an arithmetic sequence are the first 3 terms of a geometric sequence. If the first term of both sequences is 1, determine:
1.) the first three terms of the geometric sequence if r > 1
2.) the sum of 7 terms of the geometric sequence if the sequence is 1, 5, 25
Answers
Answer:
The first three terms of the geometry sequence would be [tex]1[/tex], [tex]5[/tex], and [tex]25[/tex].
The sum of the first seven terms of the geometric sequence would be [tex]127[/tex].
Step-by-step explanation:
1.Let [tex]d[/tex] denote the common difference of the arithmetic sequence.
Let [tex]a_1[/tex] denote the first term of the arithmetic sequence. The expression for the [tex]n[/tex]th term of this sequence (where [tex]n\![/tex] is a positive whole number) would be [tex](a_1 + (n - 1)\, d)[/tex].
The question states that the first term of this arithmetic sequence is [tex]a_1 = 1[/tex]. Hence:
The third term of this arithmetic sequence would be [tex]a_1 + (3 - 1)\, d = 1 + 2\, d[/tex]. The thirteenth term of would be [tex]a_1 + (13 - 1)\, d = 1 + 12\, d[/tex].The common ratio of a geometric sequence is ratio between consecutive terms of that sequence. Let [tex]r[/tex] denote the ratio of the geometric sequence in this question.
Ratio between the second term and the first term of the geometric sequence:
[tex]\displaystyle r = \frac{1 + 2\, d}{1} = 1 + 2\, d[/tex].
Ratio between the third term and the second term of the geometric sequence:
[tex]\displaystyle r = \frac{1 + 12\, d}{1 + 2\, d}[/tex].
Both [tex](1 + 2\, d)[/tex] and [tex]\left(\displaystyle \frac{1 + 12\, d}{1 + 2\, d}\right)[/tex] are expressions for [tex]r[/tex], the common ratio of this geometric sequence. Hence, equate these two expressions and solve for [tex]d[/tex], the common difference of this arithmetic sequence.
[tex]\displaystyle 1 + 2\, d = \frac{1 + 12\, d}{1 + 2\, d}[/tex].
[tex](1 + 2\, d)^{2} = 1 + 12\, d[/tex].
[tex]d = 2[/tex].
Hence, the first term, the third term, and the thirteenth term of the arithmetic sequence would be [tex]1[/tex], [tex](1 + (3 - 1) \times 2) = 5[/tex], and [tex](1 + (13 - 1) \times 2) = 25[/tex], respectively.
These three terms ([tex]1[/tex], [tex]5[/tex], and [tex]25[/tex], respectively) would correspond to the first three terms of the geometric sequence. Hence, the common ratio of this geometric sequence would be [tex]r = 25 /5 = 5[/tex].
2.Let [tex]a_1[/tex] and [tex]r[/tex] denote the first term and the common ratio of a geometric sequence. The sum of the first [tex]n[/tex] terms would be:
[tex]\displaystyle \frac{a_1 \, \left(1 - r^{n}\right)}{1 - r}[/tex].
For the geometric sequence in this question, [tex]a_1 = 1[/tex] and [tex]r = 25 / 5 = 5[/tex].
Hence, the sum of the first [tex]n = 7[/tex] terms of this geometric sequence would be:
[tex]\begin{aligned} & \frac{a_1 \, \left(1 - r^{n}\right)}{1 - r}\\ &= \frac{1 \times \left(1 - 2^{7}\right)}{1 - 2} \\ &= \frac{(1 - 128)}{(-1)} = 127 \end{aligned}[/tex].
26.) In a midnight sale in a mall, Charice bought a
shirt with 40% discount. How much did she pay if the
original price is Php 200?
A. PhP 80.00
C. PhP 140.00
B. PhP 120.00
D. PhP 160.00
I will give Brainliest
Answers
Answer:
B. 120.00
Step-by-step explanation:
200-40%=120
Answer:
the answer is very easy i calculated this so if my calculations are correct it will be PHP 160.00
Rohan bought an almirah for Rs 15,600 and spent Rs 400 on its transportation. The total C.P is __________
Answers
From the question,
Rohan bought an almirah for =Rs.13600= cost price
Transportation cost =Rs.400
The total cost price of almirah =Rs.(13600+400)
The total cost price of almirah =Rs.(13600+400)=Rs.14000
He sold it for =Rs.16800= selling price
By comparing SP and CP=SP>CP, so there is a gain
Gain=SP−CP
=16800−14000
=Rs.2800
Gain %={(gain/CP)×100}
={(2800/14000)×100}
={2800/140}
=20%
Use the expression below to answer the question (8-3)^2 / 5 + 2^3 *7. Which is a correct first step? *
Answers
Answer:
25 / 61
Step-by-step explanation:
Given:
(8-3)² / [5 + 2³ × 7]
Computation:
(8-3)² / [5 + 2³ × 7]
(5)² / [5 + 8 × 7]
25 / [5 + 56]
25 / 61
PLEASE HELP ME :)
Find the area of the kite.
O A) 22 m²
OB) 140 m2
C) 210 m2
D) 420 m2
Answers
Answer:
Area = xy/2
= 14 × 30/2
=210m2
Two cities on a map are 3 3/4 inches apart. Using the scale 1 inch = 12 miles, what is the distance between the cities?
Answers
Answer:
45 miles. 3*12 +3/4 *12 =x=>36+9=x=>x= 45.
When Jeremiah does 7 push-ups and 15 sit-ups, it takes a total of 66 seconds. In comparison, he needs 48 seconds to do 7 push-ups and 9 sit-ups. How long does it take Jeremiah to do each kind of exercise?
Answers
Answer:
3.43 seconds to do push ups and 2.66 seconds for him to do sit ups in the given time of 48 seconds ( to find the difference of time of each exercise done in the two different time, subtract each time unit from each other)
Step-by-step explanation:
for him to do 7 push ups and 15 sit ups in 66 seconds it would take time 4.71 second (5 seconds rounded) to do push ups. it would take him 2.20 seconds (2 seconds rounded) for him to do 15 sit ups in 66 seconds. for him to do it in 48 seconds, it would take him 3.43 (3 seconds rounded) to do 7 push ups in 48 seconds. for him to do 9 sit ups in 48 seconds it would take in 2.66 seconds ( 3 seconds rounded) for him to complete them in the given time.
20% of a is 11. what is a?
Answers
Answer:
a=55
Step-by-step explanation:
20%/100=0.2
a=11/0.2
a=55
h(x) = 3x-2 then h(-6) =
Answers
Step-by-step explanation:
step 1. h(-6) = 3(-6) - 2
step 2. h(-6) = -18 - 2
step 3. h(-6) = -20.
determine whether or not a triangle with side lengths 12, 35, and 37 is a right triangle and show work
Answers
Answer:
Yes, it is a right triangle.
Step-by-step explanation:
Please see the attached picture for the full solution.
Ben bought a coat for $124.55 and received a 19% discount. What is the total price at 7% tax?
Answers
Answer:
7.061985
Step-by-step explanation:
Consider the following pair of equations:
y = x + 4
y = −2x − 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. There is no pic pls help xd
Answers
Answer:
x is equal to -2, and y is equal to 2.
Step-by-step explanation:
You can solve this type of question by solving one of the equations for a given variable, and substituting it into another.
Because both of these are definitions of y, we could simply say, y = y, and thus:
x + 4 = -2x - 2
3x = -6
x = -2
This tells us also that y, being equal to x + 4, must equal 2
We can find the same solution by solving one of them for x, then substituting that into the other. We know:
y = x + 4
so we can also say:
x = y - 4
If we substitute that into the other:
y = -2x - 2
y = -2(y - 4) - 2
y = -2y + 8 -2
3y = 6
y = 2
which we can then plug into either of the original equations to solve for x:
y = x + 4
2 = x + 4
x = -2
I FORGOT IMAGE, please help me solve this!! 100 points!!
Answers
Answer:
[tex]\Large \boxed{\sf 384 \ m^2}[/tex]
Step-by-step explanation:
Surface area ⇒ area of 2 triangles + area of 3 rectangles
[tex](8 \times 3 \times 0.5 \times 2)+(20 \times 5 \times 2+20 \times 8)=384[/tex]
Answer:
Surface Area = 384 m²
Step-by-step explanation:
The given figure is a triangular prism.
The surface area of a triangular prism is made up of:
2 congruent triangles (the bases of the prism).3 rectangles.From inspection of the diagram, the dimensions of the triangular bases are:
Base = 8 mHeight = 3 m[tex]\boxed{\begin{aligned}\textsf{Area of a triangle}&=\dfrac{1}{2} \times \sf base \times height\\\\\implies \textsf{Area of triangular base}&=\dfrac{1}{2} \times 8 \times 3\\&=4 \times 3\\&=12\; \sf m^2 \end{aligned}}[/tex]
From inspection of the diagram, there are two congruent rectangles with dimensions:
Length = 20 mWidth = 5 mand one rectangle with dimensions:
Length = 20 mWidth = 8 m[tex]\boxed{\begin{aligned}\textsf{Area of a rectangle}&=\sf width \times length\\\\\implies \textsf{Area of rectangle 1}&=5 \times 20\\&=100\; \sf m^2 \\\\\implies \textsf{Area of rectangle 2}&=8 \times 20\\&=160\; \sf m^2\end{aligned}}[/tex]
Therefore, the total surface area of the given triangular prism is:
[tex]\begin{aligned}\textsf{Total Surface Area}&=\sf 2\;Triangles + 2\;Rectangle\;1+Rectangle\;2\\& = 2 \times 12+ 2 \times100+160\\& = 24+200+160\\& = 224+160\\& = 384\; \sf m^2\\\end{aligned}[/tex]
Whats the value c
Pleaseee help
Answers
Step-by-step explanation:
the value of x is 20 that's it good luck
Step-by-step explanation:
6c + c + 10 + c + 10 = 180
8c = 160
c = 20
One manufacturer is calculating the trade discount on a dog kennel with a list price of $257 and a trade discount series of 12/11/12 What is the trade discount? What is the net price for the kennel?
The trade discount is S (Round to the nearest cent as needed)
The net price for the kennel is S (Round to the nearest cent as needed
Answers
Find the surface area of the figure
Answers
Answer:
Step-by-step explanation:
circumference of cylinder = πd = 5π in
lateral area of cylinder = 5π×9 = 45π in²
Each colored face has a matching face on the other side of the figure.
green areas = 2(17×15) = 510 in²
blue areas = 2(12×17) = 408 in²
gray areas = 2(5×6) = 60 in²
yellow areas = 2(5×12) = 120 in²
red areas = 2(12×15) = 360 in²
total surface area = 45π + 510 + 408 + 60 + 120 + 360 ≅ 1,599.37 in²
4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2
Find the mean, median, and mode(s) of the data. Which measure best
represents the data? Explain your reasoning.
Soon this is due in 5 minutes
Answers
Answer:
Given data:
4, 5, 3, 3, 1, 2, 3, 2, 4, 8, 2, 4, 4, 5, 2, 3, 6,2Put the data in the ascending order:
1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 8Mean, the average:
(1 + 2*5 + 3*4 + 4*4 + 5*2 + 6 + 8)/18 = 3.5Median, average of middle two numbers:
3Mode, the most repeated number:
2 (repeated 5 times)Mean is normally the best measure of central tendency, same applies to this data.
please show all work i’ll mark brainliest
Answers
Answer:
a. r=4
b. 8pi or 25.13 when rounded to nearest hundreth
c. once
d. twice
Step-by-step explanation:
a)
16pi=pi*r^2
16=r^2
4=r
b)
2(4)pi
8pi or 25.13 when rounded to nearest hundreth
c) once
d) twice
Rewrite this number in appropriate scientific notation: 472.6
Answers
Answer: 4.726 x 10²
Step-by-step explanation:
[tex]c*10x^{n}\\472.6\\= 4.726*10x^{2}[/tex]
Solve a0 = 0, a1 = 1 and an = an−1 + an−2 + 2n , for n ≥ 2. Hints: This one involves a lot more algebra than the problems above. Solving the homogeneous problem will involve using the quadratic formula. The characteristic roots turn out to be 1 ± √ 5 2 (but show the work!). For a particular solution, try an = A2 n . You should find A = 4 (but show the work!). Put those two pieces together to write down the general solution an = A( (1 + √ 5 )/2 )^n + B( (1 − √ 5)/ 2 )^n + 4(2^n ) and the determine the values for A and B by using the two initial conditions, a0 = 0 and a1 = 1. The necessary arithmetic will be somewhat complicated, but not impossible.
Answers
Answer:
Hi yes ik I'm not that good at math but wouldn't it be
a n=1∗1 n =1
The mass of the Sun is about 2 × 10^27 metric tons, or 2 × 10^30 kilograms. How many kilograms are in one metric ton?
Answers
Answer:
[tex]\frac{2 * 10^{30} }{2 * 10^{27} } = 10^{3} kg[/tex]
write and solve an equation to solve each problem. the sum of 3 consecutive numbers integers is 90. find the integers.
PLS HELP FAST!
Answers
Answer:
29, 30, 31
Step-by-step explanation:
since they are three consecutive numbers, label the first number x, the second x+1, and the third x+2. set up an equation by adding them and setting them equal to 90 as shown below:
x+(x+1)+(x+2)=90
then, solve the equation:
3x+3=90
3x=87
x=29
x+1=30
x+2=31
The integers are 29, 30, and 31.
find area and perimeter
Answers
Answer:
Perimeter
P = P1+P2
P1 = 4a P2=2(a+b)
P1=4*5 P2=2(3+5)
P1=20 P2=2*8
P2=16
P = 20+16
P=36
Area
A=A1+A2
A1=[tex]a^{2}[/tex] A2=a*b
A1=[tex]5^{2}[/tex] A2=3*5
A1=25 A2=15
A=25+15
A=40
hi pls send help
-
brainlist to best answer
Answers
Answer:
C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Hi!
We will have to plug everything in to solve this!
So...
A. -3 * 2 > 6
-6>6 (WRONG)
B. 2 * 2 > 6
4>6 (WRONG)
C. 3 * 2 > 6
6>6 (WRONG)
D> 5 * 2 > 6
10>6 (CORECT)
Hope this helps :)
P.S. the star (*) stands for the multiplication sign!
Which formula would you enter into D3, and then AutoFill into D4 to D6, to calculate the winning percentage (Pct.) for the teams?
Answers
Formula to calculate percentage are=
Winning match/total match *100
And copy paste formula of VLOOKUP in to desire cell formula bar.
Example in spreadsheet :
Winning match=A5
Total match=A6
Write formula in cell D3:
=(A5/A6)*100
And write formula of VLOOKUP into cell D4-D6 to retrieve data from desire cell.
Which of the following operations should be used first to solve 10t + 5 = 150.
Divide by 10 to get t + 5 = 15
Subtract 5 to get 5t = 145
Subtract 5 to get 10t = 145.
Add 5 to get 10t = 200
Answers
Answer:
Subtract 5 to get 10t = 145.
10t=150-5 to get 145 will be your first step
A minibus sets off at 7.30 am and arrives
at its destination at 11.45 am.
How long did the journey take?
Answers
Answer:
4 hours and 15 minutes
Step-by-step explanation:
Emily has two peaches. One peach has a mass of 107 grams, and the other has a mass of 193 grams what is the difference mass in the peaches?
Answers
Eric has 4 lb of blueberries to make into pie. How many pies can Eric make if each pie needs the given amount of blueberries.
Answers
Answer:
2 pies because you need 2 lb for each pie
Step-by-step explanation:
in rhombus BEAC diagonals BA and EC intersect at H If EA=5 and AH=3 what is the length of EH?
Answers
Answer:
we, don't know
Step-by-step explanation:
sorry! You can ask experts
