Answer:
Step-by-step explanation:
First solve for the common ratio:
[tex]\frac{30}{180} = \frac{1}{6} 6 \\ \\\frac{5}{30} = \frac{1}{6}[/tex]
Use the geometric summation equation to solve for sum:
[tex]a(\frac{(1-r^{n} )}{(1-r)})\\180(\frac{(1-\frac{1}{6} ^{6}) }{(1-\frac{1}{6} )}) = \frac{46655}{216} = 216[/tex]
The sum of the first 6 terms of the following series is 540.
What is the geometric series?A geometric series is the sum of an infinite number of terms that have a constant ratio between successive terms.
The sum of the terms of the geometric sequnece is given by;
[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}[/tex]
The common ratio of the sequence is;
[tex]\rm \dfrac{a_2}{a_1}=\dfrac{30}{180}=\dfrac{1}{6}\\\\ \dfrac{a_2}{a_1}=\dfrac{5}{30}=\dfrac{1}{6}\\\\[/tex]
The sum of the first 6 terms of the following series is;
[tex]\rm S_n=\dfrac{a(1-r^n)}{1-r}\\\\\rm S_6=\dfrac{180(1-1/6^6)}{1-1/6}\\\\ S_6=\dfrac{180\times 0.99}{5/6}\\\\S_6=\dfrac{180\times 0.99}{0.33}\\\\S_6=\dfrac{178.2}{0.33}\\\\S_6=540\\[/tex]
Hence, the sum of the first 6 terms of the following series is 540.
Learn more about geometric sequence here;
https://brainly.com/question/8934175
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The sides of the base of a right square pyramid and its slant height are tripled. What is the surface area of the larger pyramid divided by the surface area of the smaller pyramid? A. 3 B. 6 C. 9 D. 12
Answer:
Step-by-step explanation:
If the base length and slant height are multiplied by 3, the surface area is multiplied by 3² = 9
solve the inequality for n.
14 < n - 3
Answer:
n > 17
Step-by-step explanation:
Add 3 on both side: n - 3 + 3 > 14 + 3
--> n > 17.
If it is helpful, plz give me Brainliest.
Answer:
n>17
Step-by-step explanation:
14<n-3
move the terms
-n<-3-14
calculate
-n<-17
change the signs and you get n>17
How do you evaluate fuctions?
Step-by-step explanation: To evaluate functions substitute the given number or expression function's variable.
1 fourth to the 3rd power as a fraction
Answer:
1/64
Step-by-step explanation:
(1/4)³
1³/4³ = 1/64
(X+5)+(x-5)=56 what does x=?
Answer:
x=28
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+5+x−5=56
x+5+x+−5=56
(x+x)+(5+−5)=56(Combine Like Terms)
2x=56
2x=56
Step 2: Divide both sides by 2.
2x/2=56/2
x=28
plz give me brainiest
Please help ?? I don’t remember how to do this
Answer:
i hope it help you
Step-by-step explanation:
1) x not equal 3
2) x not equal 5 and greater than or equal 3
3) x greater than or equal 3
4) x not equal 5
which of the following is the correct factorization of the trinomial below -7x^2+5x+12
Answer:
-1(7x-12)(x+1)
Step-by-step explanation:
Ape s* x
Find the value of X
2x+40 100
x= 30.....................
Answer:
x=30
Step-by-step explanation:
how:
so your equation right now is 2x+40=100, so figure this equation out you have to do the opposite so it will be
100-40=60
60/2=30
which makes x=30
hope that helps
please mark as brainliest if correct
thank you
19NBoli
:)
write the equation of a line that has a slope of 3x - 4y = 12 and passes through the point (8, 8)
The percent of sales tax is 8% if the skateboard cost $98 what is the total amount you will pay including tax?
Answer:
The total amount of tax is $7.84, so add that to $98 and you get $105.84 dollars total.
Step-by-step explanation:
Which term matches the definition? one that can be answered with
data and for which it is anticipated that the data collected to answer the
question will vary.
A. symetrical graphs
B. skewed right
C. skewed left
D. statistical question
You like math then here
Answer:
-8b + 9 - 5k
Step-by-step explanation:
I am assuming the blue highlighted portion is your answer, and is not a part of the initial question
(-4b + 15 - 7k) - (6 + 4b - 2k)
Combine like terms
-4b - + 4b
Negative + Positive = Negative
-4b - 4b = -8b
15 - 6 = 9
-7k - - 2k
Negative + Negative = Positive
-7k + 2k = -5k
Put them all together:
0b + 9 - 5k
Simplify
-8b + 9 - 5k
I got the same answer as you (just in a different order)
Ms. White is going to the grocery store to buy peamut butter for $3.50 a jar. She's going to the store with
$35 but needs to save $15 for tomorrow.
Answer:
5. your question wasnt finished so there was not answer.
Step-by-step explanation:
Im guessing your question was how many jars can she by?
If so then
35 - 15 is 20
20 divided by 3.50 is 5.714
So she only has enough money left to buy 5 whole jars
Find the slope.
Find the y-intercept
Write the equation (y=mx+b)
At Philip’s Phones you can get a new cell phone plan for $45 a month plus $30 activation fee.
9514 1404 393
Answer:
slope: 45y-intercept: 30equation: y = 45x + 30Step-by-step explanation:
The slope is the cost per month. (A slope is often expressed as a ratio: dollars per month, in this case.) The slope is 45.
The y-intercept is the value that obtains when the number of months (in this case) is zero. It is the activation fee, 30. The y-intercept is 30.
__
The equation in slope-intercept form is ...
y = mx + b . . . . . where m is the slope and b is the y-intercept
Using the above numbers, the equation is ...
y = 45x + 30
what is 0.24% as a decimal
Answer:
.0024
Step-by-step explanation:
Hey There!
So when converting a percentage to a decimal all we have to do is move the decimal place over to the left 2 times
so it would be .0024
hope this helps ~ MarkAnswers
Answer:
0.0024
Step-by-step explanation:
0.24% = 0.0024 in decimal form. Percent means 'per 100'. So, 0.24% means 0.24 per 100 or simply 0.24/100.
i hope this helps!! brainliest?
2) Dan is playing a game that involves the spinners shown below.*
10 points
Spinner 1
Spinner 2
Spinner 3
6
2
Greon Red
Blue Yellow
5
3
F
Which durt shows all of die possible combinations of an even number on Spinner 1,
Red or Blue on Spinner 2, and a B on Spinner 3?
A
с
Spinner 1 Spinner 2 Spinner 3
2 Red B
4
Red
B
6 Red B
2 Blu B
Blue B
6 Blue B
Spinner 1 Spinner 2 Spinner 3
2
Rod B
2 Red B
Red
4 Blue
B
6 Blue B
6 Blue B
B
D
CC
Spinner 1 Spinner 2 Spinner 3
1
Red B
2. Blue B
3 Red B
Blue B
5 Rod
B
6
Blue B
Spinner 1 Spinner 2 Spinner 3
2 Red
4 Red
B
6 Red А
2 Blue B
Blue А
6
Blue B
Answer:
1 spanner 2 greoun red 3 blue 4 .... 6 blue
pls helpppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
I THINK THE ANSWER IS...
people need to stay and tend their crops.HOPE IT HELPS
Answer:
I think its either A or C but I'm going to go with A
Step-by-step explanation:
Hope this helps (:
answered
I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE
The First equation and the Third Equation
are equivalent to 6x - 24.
1) 6 ( x - 4 )
3)3 ( 2x - 8 )
Answer:
first one and third one. hope u get it right!
Step-by-step explanation:
6(x-4)
distribute (6*x and 6*4) then it equals 6x - 24
2(3x - 24) = 6x - 48
3(2x - 8) = 6x - 24
3(3x - 21) = 9x - 63
Help me!?!
I’ll give you 5 stars?!
Answer:
i think its b 68 because if you add al the sides that what i got
Step-by-step explanation:
18 + 18 + 10 + 10 + 6 + 6= = 68
Answer:
1080 or 68
Step-by-step explanation: 10*18*6=1080
10+10+18+18+6+6=68
HURRY
An angle measures 47°. What are the measures of the angle’s complement and supplement? A. complement, 43°; supplement, 133° B. complement, 133°; supplement, 43° C. complement, 53°; supplement, 143° D. complement, 143°; supplement, 53°
Answer:
A.) complement, 43°; supplement, 133°
Step-by-step explanation:
A compliment angle is any angle(s) that adds up to 90°
A supplement angle is any angle(s) that adds up to 180°
For compliment:
90 - 47 = 43
For supplement:
180 47 = 133
Therefore, the answer would be A.
-kiniwih426
A partir del 1.° de diciembre, un camión de helados visita la calle de Sara cada 3 días y la calle de Ema cada 5 días. ¿Cuáles son los primeros 2 días que el camión visita ambas calles el mismo día?
Answer:
Los primeros 2 días que el camión visita ambas calles el mismo día es el 15 y 30 de diciembre.
Step-by-step explanation:
Los múltiplos de un número son todos los posibles resultados de multiplicar ese número por todos y cada uno de los números naturales.
Es decir, los múltiplos de un número natural son los números naturales que resultan de multiplicar ese número por otros números naturales.
El conjunto de los múltiplos de un número determinado (salvo el cero) es infinito, pues existen infinitos naturales para multiplicar.
Para determinar cuáles son los primeros 2 días que el camión visita ambas calles el mismo día, debes encontrar los múltiplos de 3 y 5:
múltiplos de 3: 3; 6; 9; 12; 15; 18; 21; 24; 27; 30
múltiplos de 5: 5; 10; 15; 20; 25; 30; 35; 40; 45; 50
Podes observar que los 2 primeros números comunes o que coinciden entre los múltiplos de 3 y 5 son 15 y 30. Esto quiere decir que los primeros 2 días que el camión visita ambas calles el mismo día es el 15 y 30 de diciembre.
A small plant manufactures riding lawn mowers. The plant has fixed costs of GHC48,000 per day and a variable cost of GHC1,400 per unit produced. The mowers are sold for GHC1,800 each. The cost and revenue functions are in that order and , where is the total number of mowers produced and sold each day. How many units must be manufactured and sold each day for the company to break even?
Answer:
120
Step-by-step explanation:
The break-even point is the point where revenue =cost
48,000+ 1400x = 1800x
48000=400x
X=48000/400
X=120
Equilibrium quantity is 120 mowers
What property is shown below?
129 × 1 = 129
OA.
Commutative Property of Multiplication
OB.
Associative Property of Multiplication
OC. Identity Property of Multiplication
OD
Identity Property of Addition
Answer:
Associative property of multiplication
Step-by-step explanation:
i need help T^T ill mark brainliestT^T
Answer:
it's A (I'm sure)
Step-by-step explanation:
........
Answer:
option A is correct 2:10=14:10
Can someone help with this math problem? 3 (x+6) = 27
Answer:
x = 3
Step-by-step explanation:
Use distributive property: a(b +c) =(a*b) + (a*c)
3(x + 6) = 27
3*x + 3*6 = 27
3x + 18 = 27 {Subtract 18 from both sides}
3x + 18 -18 = 27 - 18
3x = 9 {Divide both sides by 3}
3x/3 = 9/3
x = 3
write the numeral that means the same as "three hundred fifty-two billion, six hundred thirty- five million"
Answer:
352,635,000
Step-by-step explanation:
Please help thanks I appreciate it! :)
Answer:
Step-by-step explanation:
120 x .6 =72
120-72 = 48
48x .6 = 28.8
72+28.8 = 100.8
She sold approximately 101 cups of coffee
PLS HELP WILL GIVE BRAINLIEST AND 20 POINTS TY!
Answer: It is B)
Step-by-step explanation: It was 8.66 something and that rounded to the nearest tenth is 8.7
Answer:
B. 8.7
Step-by-step explanation:
the closest one is but the actual number is 8.6 repeating so 8.7 is correct
Enter the exponential function using t (for time) as the independent variable to model the situation. Then
find the value of the function after the given amount of time.
The value of a textbook is $63 and decreases at a rate of 14% per year for 13 years.
The exponential function that models the situation is y = 63(0.86).
After 13 years, the value of the textbook is $
Answer:
An exponential function is given by;
f(x)=ba^x
where a is any value greater than 0,
b is the intial value
when a>1 then f(x) is defined as an exponential growth
when a<1 then f(x) is defined as an exponential decay
From the our function;
f(t)=15000(0.86)^t
a=0.86<1
b=15000
since a<1, the function will be an exponential decay.
Step-by-step explanation:
Solve for A
-2a -12 < -8
How do I do this step by step?