Answers
The first option. 100% correct.
[tex]a_n = 3\cdot a_{n-1}\\\\a_1 = 7\\\\a_2 = 3 a_{2-1} =3a_1 = 3(7) =21\\\\a_3 = 3 a_{3-1} =3a_2 = 3(21) = 63 \\\\a_4 = 3 a_{4-1} = 3 a_3 = 3 (63)=189\\\\7,21,63,189,......[/tex]
Related Questions
Find the value of N the expression 24 : N = 12 : 17.
Answers
To solve this you figure out how they got the number 24 to be 12, in this case they divided by 2. So, to figure out what number divided by 2 equals 17, you multiply 17 by 2, which is 34.
I hope this helps, if you have any questions please feel free to ask! :)
Answer:
N = 34
Step-by-step explanation:
METHOD I
(hit and trial)
The given two ratios have to be equal.
This means, 24 : N must break down to 12 : 17 after dividing it by some common factor.
The common factor here is 2.
Since,
12 × 2 = 24
17 × 2 = 34
[tex] \boxed{\mathsf{ \underline{N \: must \: be \: 34}}}[/tex]
(after dividing the first ratio by 2(common factor) we get the second ratio. Meaning that they become equivalent as required by the question).
METHOD II
(mathematical approach)
Ratios can be written in form of fractions as:
[tex] \boxed{ \mathsf{ \frac{24}{N} = \frac{12}{17} }}[/tex]
Cross multiplying:
[tex] \implies \mathsf{24 \times 17 = 12 \times N }[/tex]
taking 12 to the denominator:
[tex] \implies \mathsf{ \frac{24 \times 17 }{12} = N }[/tex]
24 and 12 gets canceled and 2 takes up their spot
(why?
=> 24 ÷ 12 = 2)
[tex] \implies \mathsf{2 \times 17 = N } [/tex]
[tex] \implies \mathsf{2 \times 17 = N } [/tex]
[tex] \implies \mathsf{ N = 34 } [/tex]
[tex] \implies \mathsf{ N = 34} [/tex]
HELP ME GUYS PLEASE ! :)
Answers
in order:
y=6
y=16
y=26
y=31
Can someone help me :
Answers
Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
X - 4
5X + 2
Answers
Step-by-step explanation:
i think is this the answer
5×-4=-20
-20+2=18
jerry swims 5 3/5 killometers in a 7 day period. He swims the same distance each day.What distance does he swim in a day
Answers
Answer:
0.8 km per day
Step-by-step explanation:
5 3/5 is the same as 5.6, so
5.6/7
= 0.8 km per day
Given f(x) = 2x2 – 9x+2, g(x) = 1 – 6x, and
h(x) = x² – 4, find the following function:
=
(hof)(x)
Answers
Answer:
2×2=4
9x+2=11x
1-6x=4x
x²-4=16
=16¹⁵x
The population of the bacteria triples each hour. Initially, there are 20 bacteria in the lab. Find the number of bacteria at the end of 5th hour
1620
4500
4860
5000
Answers
Answer:
4860
Step-by-step explanation:
Get the product of twenty and three, then multiply that to three again, repeat this for three more times.
K minus 10 over 2 = -7
Answers
Hey there!
k - 10/2 = -7
k - 5 = -7
ADD 5 to BOTH SIDES
k - 5 + 5 = -7 + 5
CANCEL out: -5 + 5 because that gives you 0
KEEP: -7 + 5 because it helps solve for the k-value
NEW EQUATION: k = -5 + 7
SIMPLIFY IT & YOU HAVE YOUR ANSWER!
k = -2
Therefore, your answer is: k = -2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Mr. Rossi works 20 days a month. How far does he drive in a month?
Answers
Answer:
No solution
Step-by-step explanation:
How should I kow how much he drove? I need at least one distance. Either your fooling me, or the person who gave you this question is. There is no solution.
5 3/4 times 1 3/4 and simplified
Answers
Answer:
I believe the answer will be 27/3
First person to answer CORRECTLY will get brainliest and extra points!!
Answers
Answer:
y=15
Step-by-step explanation:
41 - 17=
i know it's 28 but i can't really do math
Answers
Ok done. Thank to me :>
kayla and Jane helped Mr.John fit kids in the auditorium. There was 603 kids,and each row can fit 31 kids. How many rows do they need to use?
Answers
Answer:
Around 19 rows
Step-by-step explanation:603/31= 19.40 so I'm not too sure
120% of what number is 102
Answers
Answer:
122.4 i think
Step-by-step explanation:
order 2⁹, 5.9 × 10², 9³, 5⁴, 6.81 × 10¹ from least to greatest
Answers
Answer:
2^9=512
5.9*10^2=590
9^3=729
5^4=625
6.81*10=68.1
6.81 × 10¹, 2⁹, 5.9 × 10², 5⁴, 9³
If ab =12 and a²+b²=25, then (a+b)²= ?
Answers
Recall that
(a + b)² = a² + 2ab + b²
Then
(a + b)² = 25 + 2•12 = 49
What is the length of Line segment G D? GD =.
Answers
The length of the line segment GD is 10.5
To get the length of the line segment GD, we will use similarity theorems of triangles to have:
ED/FD = GD/DH
Substitute the given sides to have:
6+GD/(8+14) = GD/14
6+GD/22 = GD/14
Cross multiply
22GD = 14(6+GD)
22GD = 84 + 14GD
22GD - 14GD = 84
8GD = 84
GD = 84/8
GD = 10.5
Hence the length of the line segment GD is 10.5
Learn more on similarity theorems of triangle here: https://brainly.com/question/8242716
A right triangle has leg lengths that are 5 meters and 6 meters, respectively. Which of the following lengths, in meters, is closest to that of the hypotenuse of the right triangle? answer
Answers
Answer:
7.8 or 8
Step-by-step explanation: To get the hypotenuse of a right triangle we must square each part.
5^2 is 25 and 6^2 is 36
Now you add the two squared parts, which equals 61. 61 squared isn't a perfectly squared. This means the answer is 7.8 or rounded to the nearest tenth the answer will be 8.
where is the √ 125 on a number line
Answers
Answer:
im 11 and
Step-by-step explanation:
i just need points i have -32
what does 2/6 - 6/12 equal in fractions pleeeeeaaaase.
Answers
Because you would divide 6/12 by 2 on each number
Answer: -1/6
You can multiply 2/6 by 2 to get 4/12 which you can subtract from 6/12.
4/12 - 6/12 = -2/12 which you can simplify further to get -1/6
HELP!!!! I WILL GIVE 100 POINTS!
Answers
Answer:
x = 17y = 18Step-by-step explanation:
8x - 17 + 3x + 10 = 180 => 11x - 7 = 180=> 11x = 187=> x = 187/11=> x = 17=> 8(17) - 17 = 6y + 11=> 136 - 17 - 11 = 6y=> 108 = 6y=> y = 18Conclusion:
Therefore:
x = 17y = 18Hoped this helped.
[tex]GeniusUser[/tex]
When r= 1 , h=2.4 find r in terms of h
Answers
Answer:
r= 5/12 h
Step-by-step explanation:
r/h = 1/2.4
r =[tex]\frac{10}{24}[/tex]h
r=[tex]\frac{5}{12}[/tex]h
Describe the solution set for the equation below.
−29+5x=5(x−5)
One Solution
One Solution
No Solution
No Solution
Infinitely Many Solutions
Answers
What is the exact value of sin(-5 π/3)
Answers
Answer:
√3/2 is the correct answer. I hope this helps ^^
Step-by-step explanation:
If Sue worked 28 hours this week and made $172 in tips, how much did her weekly pay
exceed what she would have made with minimum wage?
Answers
Answer: 28 hours over 172$ that mean 6.14 per hour
so 257.88$ minimum for 42 hours
Step-by-step explanation:
28 hours over 172$ that mean 6.14 per hour
so if we say she work in one day 6 hours that mean in one weak 42 hours
so 42*6.14= 257.88 $
solve one step equation
x + 8 = -10
Answers
Answer:
[tex]x=-10-8 = -18[/tex]
Step-by-step explanation:
Answer:
x=-10-8=18
Step-by-step explanation:
[tex]\sf -(6-4x)[/tex]
Answers
Answer:
[tex] - (6 - 4x) = - 6 + 4x[/tex]
Answer:
[tex]-6+4x[/tex]
Step-by-step explanation:
[tex]-(6-4x)[/tex]
[tex]\mathrm{Distribute\:parentheses}[/tex]
[tex]=-\left(6\right)-\left(-4x\right)[/tex]
[tex]\mathrm{Apply\:minus-plus\:rules}[/tex]
[tex]-\left(-a\right)=a,\:\:\:-\left(a\right)=-a[/tex]
[tex]=-6+4x[/tex]
| x | < 2
solve the inequality and then graph the solution
Answers
Answer:
Any number smaller than 2
Step-by-step explanation:
You would graph this by wrighting a solid, filled in circle with an arrow point toward the negative numbers, because those numbers are smaller than 2
Which ordered pair is a solution to the equation? 3x-4y=13
A, (3, 1)
B. (3, -1)
C. (-1, 3)
D. (1, 3)
Need asap (will give brainliest to the best answer*
Answers
When you put the values of x and y in the equation
3(3) - 4(-1) = 13
9 + 4 =13
13=13 (correct answer)
When you try putting the rest of the values in the equation the answer doesn’t match ,hence ,the correct answer is B.I hope I get the brainliest answer!
Brainliest reward need brief working out
Answers
Answer:
1. 125 cm³; 88.8 cm³; 1650 cm³; 0.11 m³
2. about 1.47 kg
3. can't tell what the volume of 1 jar is
Step-by-step explanation:
The relationship between volume, mass, and density is ...
mass = volume × density
Solving for volume, we find ...
volume = mass ÷ density
__
(a) 50 g/(0.4 g/cm³) = 125 cm³
(b) 770 g/(8.67 g/cm³) ≈ 88.8 cm³ . . . (rounded to 3 significant figures)
(c) 4000 g/(2.42 g/cm³) ≈ 1650 cm³ . . . (rounded to 3 significant figures)
(d) 80 kg/(720 kg/m³) ≈ 0.11 m³ . . . (rounded to 2 significant figures)
_____
The volume of the cylinder is ...
V = πr²h
V = π(4 cm)²(15 cm) = 240π cm³ ≈ 754.0 cm³
Using the above relation, we find the mass to be ...
mass = (754.0 cm³)(1.95 g/cm³) ≈ 1470 g = 1.47 kg
_____
We cannot tell if the volume of each jar is 360 liters, or if that is the total volume of all 6 jars. Either way, we suspect a units problem, as the jars would have to be extremely large and unusually thin relative to what we usually think of as a jar for jam (0.77 m diameter; 0.2 mm thick). The density of the jam would be roughly 10 times the density of air, if that is the volume of all 6 jars. The problem would be more sensible if the units of volume were mm³, and the given volume is that of one jar.
The mass of jam in one jar is (5400/6 -200) = 700 g. Divide that by what you think the volume of one jar is in cm³ to find the density in g/cm³. (For comparison, the density of air is about 0.0012 g/cm³.)
_____
Additional comment
We have rounded the answers to 2 or 3 significant figures. In most cases, this is more than would be justified by the number of significant figures in the given measurements. For purposes of ongoing calculations, it is useful to keep intermediate results to at least 1 more significant figure than required for the answer.