Answers
[tex]a_2 = ar^{2-1} =ar = 6~~ ...(i)\\\\a_4 = ar^{4-1} = ar^3 = 2186 ~~....(ii)\\\\\\(ii)\div (i):\\\\\dfrac{ar^3}{ar} = \dfrac{2186}6\\\\\implies r^2 = \dfrac{2186}6 = \dfrac{1093}3\\\\\implies r = \pm \sqrt{\dfrac{1093}3}\\\\a= \pm \dfrac{6}{ \sqrt{\dfrac{1093}3}}\\\\\text{nth term} = ar^{n-1} = \pm \dfrac{6}{ \sqrt{\dfrac{1093}3}} \left( \pm{ \sqrt{\dfrac{1093}3} \right)^{n-1} = \dfrac{6}{ \sqrt{\dfrac{1093}3}} \left( { \sqrt{\dfrac{1093}3} \right)^{n-1} \\\\\\[/tex]
[tex]= 6\left(\dfrac{1093}3 \right)^{\tfrac{n-2}2}[/tex]
Answer:
aₙ = (6/19)*19ⁿ⁻¹Step-by-step explanation:
Given:
a₂ = 6a₄ = 2166Equation of nth term of GP:
aₙ = a₁rⁿ⁻¹Substitute for 2nd and 4th terms:
a₂ = a₁r = 6a₄ = a₁r³ = 2166Substitute the value of a₂ into a₄ and find the value of r:
a₁r³ = a₁r * r² = 6r²6r² = 2166r² = 2166/6r² = 361r = √361r = 19Find the first term:
a₁r = 6a₁*19 = 6a₁ = 6/19The equation of nth term is:
aₙ = (6/19)*19ⁿ⁻¹Related Questions
Help quick 20points please please
Answers
Answer:
AB = 23.6
BC = 18.5
CD = 23.6
DA = 18.5
Step-by-step explanation:
4.
Both sets of opposite sides are parallel, so this is a parallelogram.
In parallelogram ABCD:
AB≅CD
AD≅BC
Knowing that, you can write 2 equations with the given information:
[tex]2a-20.4=a+1.6\\a-3.5=18.5[/tex]
You can solve whichever one you want, but I'll do both to be sure.
[tex]2a-20.4=a+1.6\\2a=a+1.6+20.4\\2a-a=1.6+20.4\\a=22[/tex]
Now for the second one:
[tex]a-3.5=18.5\\a=18.5+3.5\\a=22[/tex]
a = 22, so now you can solve for the side lengths.
[tex]2(22)-20.4=23.6\\22-3.5=18.5\\22+1.6=23.6\\18.5=18.5[/tex]
what would reason 4 and 5 be??
Answers
Step-by-step explanation:
These 2 are given at the top:
∠DEG≅∠FGE
DE≅GF
Theres also this:
EG≅GE
because they are the same side.
I'm not sure what the dropdown options you get are, but this is how I would answer.
ΔDEG≅ΔFGE because of SAS congruency
DG≅EF because the triangles are congruent, and therefore all corresponding sides and angles are congruent
brainliest? :)
6. Find the percent of decrease from 24 to 18.
Answers
Answer:
25%
Step-by-step explanation:
24-18= 6
6 × 100 = 25%
24
Answer:
25% decrease
Step-by-step explanation:
find 1% of 24 24 divided by 100= 0.24
18 divided by 0.24 = 75
now 100 - 75 = 25
5 numbers have a mean of 4, a range of 6, mode of 2 and a median of 3. What could the numbers be? Is this the only answer?
Answers
Step-by-step explanation:
x1, x2, x3, x4, x5
(x1 + x2 + x3 + x4 + x5)/5 = 4
x5 - x1 = 6
x3 = 3
2 appears more often than any other number (at least twice), otherwise there would have been multiple modes.
x1 + x2 + x3 + x4 + x5 = 4×5 = 20
x3 = 3
x1 + x2 + 3 + x4 + x5 = 20
x1 + x2 + x4 + x5 = 17
x5 = x1 + 6
x1 + x2 + x4 + x1 + 6 = 17
2×x1 + x2 + x4 = 11
since we did not have the number 2 yet (and we made x5 the harvest number, which has to be larger than 2), and it has to appear at least twice.
so, two numbers out of x1, x2, x3 must be 2. not all three of them can be 2, because 2×2 + 2 + 2 = 8 and not 11 as the last equation demands.
we have therefore 2 different solutions, as either
x1 and x2, or x2 and x4 can be 2.
x1 and x4 is the same solution per the last equation as x1 and x2 (as the variables are interchangeable for the number assignment, only x1 is different, because it has an additional factor in the last equation).
solution 1 (x1 and x2 are 2) :
2×2 + 2 + x4 = 11
4 + 2 + x4 = 11
6 + x4 = 11
x4 = 5
so,
x1 = 2,
x2 = 2,
x3 = 3
x4 = 5
x5 = x1 + 6 = 2 + 6 = 8
solution 2 (x2 and x4 are 2) :
2×x1 + 2 + 2 = 11
2×x1 + 4 = 11
2×x1 = 7
x1 = 7/2
so,
x1 = 7/2
x2 = 2
x3 = 3
x4 = 2
x5 = x1 + 6 = 7/2 + 12/2 = 19/2
if 3r = 4s, then r/s = ?
Answers
Step-by-step explanation:
[tex]3r = 4s \\ r \div s = 4 \div 3 \\ \\ \\ \\ hope \: it \: helps.[/tex]
In the given question if if 3r = 4s, This means that r is four times greater than s.
The given equation is 3r = 4s. To find the value of r/s, we can divide both sides of the equation by s. Dividing both sides of the equation by s, we get: (3r) / s = (4s) / s On the right side, the s cancels out, leaving us with: (3r) / s = 4 So, the value of r/s is 4.
An equation is a mathematical statement that states that two expressions are equal. It contains an equal sign "=" and consists of two sides: the left-hand side (LHS) and the right-hand side (RHS).
In this case, r/s represents the ratio of r to s. It indicates how many times r is greater than s. For example, if r = 8 and s = 2, then r/s = 8/2 = 4. This means that r is four times greater than s.
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plzz help me asap plzzzz
Answers
Answer:
1.-13.2
2.6485
Step-by-step explanation:
Let represent the number of typographical errors made per page typed by a receptionist during a particular day at the office. The following table lists the probability distribution of .
= 0 1 *** 4 5 ( = ) * ** 0.40 0.13 0.02
Assuming that * = 2 (**) and E(X) = 12.77
(a) Find the values of ‘*’, ‘**’, and ‘***’.
(b) Determine P(1 ≤ < 4).
Answers
Using the principle of expected value and discrete probability distribution, the missing values are :
* = 0.30** = 0.15*** = 30P(1 ≤ Y ≤ 4) = 0.28The Expected value, E(X) is defined thus :
E(X) = Σ[(X) × (P(X)]The cummulative sum of the probability is 1 :
(* + ** + 0.40 + 0.13 + 0.02) = 1 - - - (1)* = 2(**)Hence, we have ;
2** + ** + 0.40 + 0.13 + 0.02 = 1
3** + 0.55 = 1
3** = 1 - 0.55
3** = 0.45
** = 0.45 / 3
** = 0.15
Hence,
* = 2(0.15)
* = 0.30
To find *** :
E(X) = (0 × 0.30) + (1 × 0.15) + (*** × 0.40) + (4 × 0.13) + (5 × 0.02)
12.77 = 0 + 0.15 + 0.40*** + 0.52 + 0.10
12.77 = 0.77 + 0.40***
12.77 - 0.77 = 0.40***
12.00 = 0.40***
*** = 12.00/0.40
*** = 30
B.)
P(1 ≤ Y ≤ 4) = P(y = 1) + P(y = 4)
P(1 ≤ Y ≤ 4) = 0.15 + 0.13 = 0.28
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14 blue cars out of 70 cars
Answers
Answer:
66 cars
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
14-70=56
Step-by-step explanation:
its subtraction so you just need 70 and take away 14.
reasoning being that theyre all still cars no matter the color and you just need to take away 14 from 70, leaving you with 56.
What is the inequality shown?
o
I
1
1
-9
-8 -7 -6 -5
-4 -3 -2 -1
I
0
| 1
1 2
1 1
3 4
T 1
5 6 7
00
8
9
Answers
Answer:
-4 < n ≤5
Step-by-step explanation:
The lower limit is -4. It has an open circle, so there is no equal sign
-4 < n
The upper limit is 5. It is a closed circle so there is an equals sign
-4 < n ≤5
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 240 mg and a standard deviation of 47 mg. In a random sample of 600 adults, how many consume at least 320mg of caffeine daily?
Answers
The confidence interval is between (48.2%, 57.7%)
Using the proportion formula expressed as:
[tex]CI=p\pm z\cdot \sqrt{\frac{p(1-p)}{n} }[/tex]
Get the proportion:
p = 320/600 = 0.53
[tex]z=\frac{x- \mu}{\sigma}[/tex]
[tex]z = \frac{320-240}{47}\\z=\frac{80}{47}\\z= 1.70[/tex]
Substitute into the formula to get the confidence interval to have:
[tex]CI=0.53\pm 1.7\cdot \sqrt{\frac{0.47}{600}}\\CI = 0.53\pm 0.04757\\CI = (0.53-0.04757, 0.53+0.04757)\\CI = (0.482, 0.577)[/tex]
Hence the confidence interval is between (48.2%, 57.7%)
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A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). If each window is 3 feet by 5 feet, determine the area of the space to be painted.
Answers
Answer:Measure length of each wall including doors and windows. Find the total square feet of the wall(s) by multiplying ceiling height by total wall length.
Step-by-step explanation:
The required area that is to be painted is given as 150 square feet.
Given that,
A wall that is 12 feet high and 15 feet wide is to be painted, but the wall has two rectangular windows (which should not be painted). each window is 3 feet by 5 feet,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Area of the wall = 12 × 15 = 180 square feet
Area of the two windows, = 2 × 3 × 5 = 30 square feet
Area to be painteded = 180 - 30 = 150 square feet,
Thus, the required area that is to be painted is given as 150 square feet.
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pls help with number 12 i will give brainliest
Answers
Answer:
My man Zachary is right!
Step-by-step explanation:
The rule is so very simple!
Whenever a negative, anywhere in the equation multiples to another negative, it is always a positive!
Whenever a positive number multiples to a negative number anywhere in the equation, it is always a negative number!
So Negative*Negative is Positive (-10 x -10 = 100)
And Positive*Negative is always negative (-10 x 10 = -100)
And we both know that Positive times positive is positive. (10 x 10 = 100)
© Write
[tex] \sqrt{8} [/tex]
power of 2
Answers
Answer:
2³
Step-by-step explanation:
2×2×2=8
so √8 = 2³
Hope this helps you
Translate the following word phrase into an algebraic expression: Nine times a number y.
Answers
Answer:
9×y
Step-by-step explanation:
the
answer
of
the
given
is 9y
please help me !
this work is due tommorow!!
ks3 year 8!
Answers
Answer:
£2578.8
Step-by-step explanation:
49×12.80= £627.2
if 49 of the people are under 16, then the rest are 16 and above
so, 155-49 = 106
number of students at 16 and above are 106
then, 106× £18.60 = £2578.8.
lets simplify
please help step by step
Answers
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
How do I do this problem?
Answers
Answer:
hey you can use scan and search
Answer:
I got : 0.42264973
Step-by-step explanation:
1/ -√3 + 1
-√3 = -1.73 ( 2 decimal place )
1/ -1.73 + 1
and found the answer
please help me !
• don’t use this for points, or send any gross links.
• if you actually KNOW the answer, please do comment / help me!
this is: KS3 — YEAR 8 ! ❤️
Answers
TICKET MONEY for age 16 and over,
155-49 =106
1 person pays £18.60
106 = 106 × £18.60
=£1,971.6
TICKET MONEY for under 16
1 person pays £12.80
49 people =49 × £12.80
= £627.2
TOTAL NUMBER OF TICKETS
£ 1,971.6 + £6272.2
= £2,598.8
A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. Write an equation to represent this situation. Solve the equation. How many consecutive free throws would she have to make to raise her percent to 85%? Answer:
Answers
Answer:
Step-by-step explanation:
let x be the number of ADDITIONAL throws
(12 + x) / (15 + x) = 0.85
12 + x = 0.85(15 + x)
12 + x = 12.75 + 0.85x
0.15x = 0.75
x = 5 more successful consecutive throws. or 17 out of 20
Write an expression that represents the weight of an object that weighs 12 pounds and increases by 0.5 pound per month. Let m be the number of months.
Please help guys
Answers
Answer:
D
Step-by-step explanation:
Fill in the blanks so the equation has NO SOLUTION.
4(x -3) + 7 = _____x + _____
Answers
Answer:
4x + 1
Step-by-step explanation:
evaluating the expression on the left
4(x -3) + 7
Distribute
4x - 12 + 7
4x - 5
Therefor if the constant is any number other than -5
there will be NO SOLUTION
Examples of equations with no solution
4(x -3) + 7 = 4x + 1
4(x -3) + 7 = 4x - 3
4(x -3) + 7 = 4x + 4
I have less than 100 tennis balls. When i put them in tubesof 8, I have 5 left over.when i put them in tubes of 11 i have 3 leftover. How many tennis balls do i have in totals
Answers
Answer:
69
Step-by-step explanation:
8's 8's+5 11's 11's+3
8 13 11 14
16 21 22 25
24 29 33 36
32 37 44 47
40 45 55 58
48 53 66 69
56 61
64 69
City planners are planning to build a new community pool. They agree that the pool will be rectangular in shape, but the proposed dimensions changed. At the most recent meeting, it was determined that the width would remain at 11.6 meters but that the length would increase by 3.7 meters. So, the pool would now cover an area of 205.85 square meters.
Which equation can be used to determine the original length of the pool, l?
205.85=2(l+15.3)
205.85=11.6(l+3.7)
205.85=3.7(l+11.6)
Answers
The equation that can be used to determine the original length of the pool is 205.85 = 11.6(l + 3.7)
Let l be the original length of the pool.
Since the length of the pool is increased by 3.7 m, the new length L = l + 3.7.
Also, the area of the pool A = 205.85 square meter and it is a rectangle with width, W = 11.6 meters,
So, A = LW
Substituting the values of the variables into the equation, we have
A = LW
205.85 = (l + 3.7)11.6
So, the equation that can be used to determine the original length of the pool is 205.85 = 11.6(l + 3.7)
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Answer:
Step-by-step explanation
205.85=11.6(l+3.7)
Bidula has to buy some cups of tea at the rate of Rs. 10 and 3 packets of biscuits at the rate of Rs. 45 .How many maximum cups of tea can she buy with Rs. 332?
Answers
Answer:
19 cups
Step-by-step explanation:
Let c represent the number of cups of tea. The total cost will be ...
10c +3(45) ≤ 332
10c ≤ 197 . . . . . . . . . . . subtract 135
c ≤ 19.7
Bidula can buy up to 19 cups of tea with ₹332.
can anyone solve this step by step for me
Answers
Answer:
0.5 ㏑ | 1-2x | +c
Step-by-step explanation:
Formula: ∫ 1/ax+b dx = 1/a ln Iax+bI +c
What temperature is halfway between:
6 and -2
Answers
Answer:
The answer is 2
Step-by-step explanation:
-2, -1, 0, 1, 2, 3, 4, 5, 6
If you remove the first 4 and the last 4 numbers you are left with 2 which is also the median / middle value. Therefore, the temperature is 2.
through: (1, 3) and (-3,-5)
Answers
m = (Y2 - Y1)/(X2 - X1)
m = (-5 - 3)/(-3 - 1)
m = -8/-4
m = 2
help me with math and ill mark brainliest
Answers
What the answer plz
Some anybody
Answers
Can someone help plz
Answers
Problem 1
The price for one super skateboard is £75.00 which is found in cell C8. When it comes to excel spreadsheets, we always read across the top first before reading the left hand side. So the format is columnRow which may seem strange if you're used to reading the row first.
Right next to cell C8 is D8 and that's the number of super skateboards sold (26 of them). Multiply the unit price by the number of units sold to get the revenue for this particular type of item.
75*26 = 1950
Now the question is: what if the company sells more than 26 skateboards? Let's say there was an error and 30 boards were sold. To quickly recompute the correct answer, we can rely on references rather than hardcoded values.
Typing out [tex]=C8*D8[/tex] will compute the multiplication of items C8 and D8. The equal sign out front is very important. It tells the spreadsheet program that you want to do this type of operation (rather than just write out plain text). If you were to simply type in C8*D8 without the equal sign, then the result is exactly C8*D8 without filling in the variables.
Answer is =C8*D8Don't forget about the equal sign out front
===========================================================
Problem 2
Like before, we'll have an equal sign as the first thing we type in. Then we'll type in Sum(E5:E14) to sum of the values from E5 to E14. You could type in Sum(E5,E6,E7,E8,E9,E10,E11,E12,E13,E14) or you could type in E5+E6+E7+E8+E9+E10+E11+E12+E13+E14; however, that would be a tedious approach prone to error. The spreadsheet program interprets the colon as a way to fill in the gap from start to end. We start at E5 and end at E14, and add up everything in between.
Note that all the cells referenced are the various revenues for each type of item. Each of these cells is computed by multiplying the C and D column items.
Answer is =Sum(E5:E14)Don't forget about the equal sign out front
===========================================================
Problem 3
There are a few other alternatives, but your teacher might be talking about adding each item one at a time. Refer to problem 2 for more info.
Answer is =Sum(E5,E6,E7,E8,E9,E10,E11,E12,E13,E14)Or
Answer is =E5+E6+E7+E8+E9+E10+E11+E12+E13+E14Don't forget about the equal sign out front
===========================================================
Problem 4
Answer: 96 poundsExplanation: Simply pick out the smallest item. The excel command is "min" and you provide it a list of values to pick from. In this case, that list being E5:E14 to represent E5,E6,...,E13,E14. So you'll type in =Min(E5:E14) similar to what you did for the "sum" command.
===========================================================
Problem 5
Answer: 1950 poundsExplanation: As you can probably guess, the "max" function is used here. It picks out the largest value of a list. The command is =Max(E5:E14)
===========================================================
Below I've attached two images. Figure 1 shows the commands to type in, while figure 2 shows the result of each command. In other words, it's the before and after. I used LibreOffice spreadsheet, but this applies to any spreadsheet program as they all tend to follow the same idea.