Ik this is late, but people who are looking for the answer can see this.
Answer:
an =1/3*6^n-1
Step-by-step explanation:
You should plug in 2 for n in each equation, which, the correct one should give you 2. Then, to make sure, you plug in 3 in the equations that gave you 2.
Example:
an = 1/3 * 6 ^n-1
Plug in 2.
an = 1/3 * 6 ^2-1
an = 1/3 * 6 ^1
1/3 * 6 = 2
Step 2.
an = 1/3 * 6 ^3-1
an = 1/3 * 6 ^2
1/3 * 36 = 12
Hope this helps.
The correct equation which can be used to find the nth term of the sequence, an is,
⇒ a (n) = 1/3 × 6ⁿ⁻¹
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
In a geometric sequence,
⇒ a₂ = 2, a₃ = 12 and a₄ = 72
Now, From option 3;
The equation is,
⇒ a (n) = 1/3 × 6ⁿ⁻¹
Put n = 2
⇒ a (2) = 1/3 × 6²⁻¹
⇒ a (2) = 1/3 × 6
⇒ a (2) = 2
Hence, This is the correct equation which can be used to find the nth term of the sequence, an.
Thus, The correct equation which can be used to find the nth term of the sequence, an is,
⇒ a (n) = 1/3 × 6ⁿ⁻¹
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Clarence has $90 in a savings account that earns 10% annually. The interest is not
compounded. How much will he have in 5 years?
Answer:
132 dollars I think
Step-by-step explanation:
10 POINTS !! :( ANSWER BOTH PLS !! DUE BEFORE 11:59 PM
Answer:
Easy,
1) To find the area you need to multiply. Therefore 10 x 4 = 40 square centimeters.
2) 20, why? A calculator online for area of a triangle, it really helps! :) just look up triangle area in the future.
Step-by-step explanation:
5th grade math. correct answer will be marked brainliest
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
9×[tex]\frac{1}{3}[/tex]
9×1/1×3=
[tex]\frac{9}{3}[/tex]÷3=
3!!!!
Describe what you normally do on Sunday
my normal routine except i go to church
Daily question: what is 5 to the 3rd power?
Answer:
125
Step-by-step explanation:
5 to the 3rd power means 5³
5³ = 5x5x5
= 125
please answer this i will mark brainliest
Answer:
The median is 2
Step-by-step explanation:
Arrange your numbers in numerical order.
0011112233445
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
PLEASE MARK ME BRAINLIEST
A submarine began at sea level and descended toward the ocean floor at a rate of −0.015 km per minute. Its final depth was −0.3675 km. Estimate how long it took the submarine to reach its final depth by rounding the dividend and divisor to the nearest hundredth.
Estimate of the quotient:
Answer:
Around 24.5 minutes
Step-by-step explanation:
Answer:
Estimate of the dividend: -0.37
Estimate of the divisor: -0.02
Estimate of the quotient: 18.5
Step-by-step explanation:
I did the test and it was right and I dubble checked it to
Need help due in 30 mins Find the area of each. Round to the nearest tenth. Do not include units in your answer (ie. ft, in, km, etc)(triangle-FR)
Your answer
Answer:
1)
Triangle formula:
A = 1/2bh
A = 1/2(3)(5.9)
A = 8.85
2)
Parallelogram Area:
A = bh
A = (8.9)(6)
A = 53.4
Need help plz asap im hoping on an answer quick thank you <3
Answer:
I believe the answer is 10
Step-by-step explanation:
Answer:
I think that it might be ten
Step-by-step explanation:
This diagram shows a cylinder that has a radius of 3 inches and a height
of 5 inches.
3 in.
5 in.
What is the volume, in cubic inches, of the cylinder?
A. 151
B. 307
C. 451
D. 601
The volume, in cubic inches, of the cylinder will be [tex]\frac{990}{7}[/tex] or [tex]45\pi[/tex] cubic inches.
What is Cylinder?Cylinder is a [tex]3D[/tex] solid shape which holds two parallel bases joined by a curved surface, at a fixed distance. These bases are circular in shape and the center of the two bases are joined by a line segment.
What is volume?Volume is define as capacity of cylinder.
Volume of cylinder [tex]=\pi r^{2} h[/tex]
We have,
Radius [tex]=3[/tex] inches
Height [tex]=5[/tex] inches,
Then,
Volume of cylinder [tex]=\pi r^{2} h[/tex]
[tex]=\frac{22}{7} *(3)^{2} *5[/tex]
[tex]=\frac{990}{7}[/tex] or [tex]45\pi[/tex] cubic inches
Hence, we can say that The volume, in cubic inches, of the cylinder will be [tex]\frac{990}{7}[/tex] or [tex]45\pi[/tex] cubic inches
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A group of researchers is designing an experiment to test whether working late at night reduces a person's productivity. The researchers selected a sample of 60 adults, and over the next month, 30 of them will complete assigned tasks late at night whereas the remaining 30 will complete the same tasks during the afternoon. At the end of the month, the researchers will compare the average amount of time it takes each group to complete the tasks. Why is it important that the researchers use randomization to assign each of the adults to a group
Answer: Randomization prevents the researchers from specifically assigning all adults who regularly stay up late to complete assigned tasks late at night.
-Randomization ensures each group will be similar in everything except the time of day they are assigned to work.
-Randomization prevents the adults from selecting their own group.
Step-by-step explanation:
The options include:
a. Randomization ensures each group will be similar in everything except the time of day they are assigned to work.
b. Randomization prevents the adults from selecting their own group.
c. Randomization eliminates lurking variable from the experiment.
d. Randomization prevents the researchers from specifically assigning all adults who regularly stay up late to complete assigned tasks late at night.
e. Randomization ensures that there'll be an equal number of adults in each group.
Randomization refers to a method that is based on chance alone whereby the participants in a particular study are assigned to treatment group. Based on the information given, it us important that the researchers use randomization to assign each of the adults to a group because:
• Randomization ensures each group will be similar in everything except the time of day they are assigned to work.
• Randomization prevents the researchers from specifically assigning all adults who regularly stay up late to complete assigned tasks late at night.
• Randomization prevents the adults from selecting their own group.
r17 is greater than or equal to 545.7
Answer:
r17 is that a mistake or actually the number?
Which expressions are equivalent to the one below? Check all that apply 5^x
Answer:
5 * 5^(x - 1) ; (15/3)^x ; 15^x / 3^x
Step-by-step explanation:
From the options, equivalent expressions include :
(15/3)^x
This is the same as ;
(15/3)^x
15 ÷ 3 = 5 ; then to the power of x = 5^x
15^x / 3^x ; since they are both raised to the same power, we can divide directly to obtain :
5^x
5 * 5^(x - 1)
5 = 5^1
5^1 * 5^(x-1)
5^(1 + x - 1) = 5^x
Q10.
Prove algebraically that the recurring decimal 0.178 can be written as the fraction 59/330
Answer:
bbv
Step-by-step explanation:
Recurring decimal is decimal representation of a number whose digits are periodic and infinite. Proved algebraically that the recurring decimal 0.178 can be written as the fraction 59/330 below.
Given information;Given number in the decimal form is [tex]0. 1 \overline 7 \overline 8[/tex]
Suppose the number is equal to the x,
[tex]x=0. 1 \overline 7 \overline 8[/tex]
Recurring decimalRecurring decimal is decimal representation of a number whose digits are periodic and infinite.
As the number 78 is the recurring number. Thus the recurring number can be written as,
[tex]x=0.1787878.....[/tex] .......equation 1.
Suppose this is equation number 1.
Multiply the above equation with 100 both the sides,
[tex]100\times x=100\times0. 1 787878....[/tex]
[tex]100x=100\times0.1787878...[/tex]
[tex]100x=17.87878...[/tex]
Subtract the above equation from equation number 1. Thus,
[tex]\begin{aligned}\ 100x-x&=17.87878-0.1787878\\ 99x&=17.7\\ \end[/tex]
Solve for x ,
[tex]x=\dfrac{17.7}{99} [/tex]
Multiply with 10 in both numerator and denominator,
[tex]x=\dfrac{177}{990} \\ x=\dfrac{59}{330} \\[/tex]
Hence proved algebraically that the recurring decimal 0.178 can be written as the fraction 59/330
Learn more about the recurring decimal here;
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Tea costs £1.40 and coffee
costs 65p how much will 5
coffees and 2 teas cost?
Answer:
£6.05
Step-by-step explanation:
Multiply the number of coffees by the cost of coffee:
5 × 65p
325p
Multiply the number of teas by the cost of tea:
2 × £1.40
£2.80
Add the two answers together:
325p + £2.80
Convert p to £
£3.25 + £2.80
£6.05
Select all the properties of a right triangle.
A. Has a Right Angle
B. Has 1 Obtuse Angle
C. Has Parallel Lines
D. Has Perpendicular Lines
E. Has 3 Acute Angles
If u are an Expert PLzzz Answer Thisss!
Answer:
Sorry sis don't know the meaning
what is the length of the hypotenuse of the triangle when x = 3?
Answer:
2√73 I believe
Step-by-step explanation:
Input x with 3
2(3) = 6
5(3) + 1 = 16
16 squared is 256
6 squared is 36
A square plus B squared is C squared
square root of 292
1. Find the equation of the parabola satisfying the given conditions.
Focus: (3,6); Directrix: x=−1
A. (x−1)2=8(y−6)
B. (y−6)2=8(x−1)
C. (x−1)2=−8(y−6)
D. (y−6)2=−8(x−1)
2. Find the equation of the parabola satisfying the given conditions.
Focus: (−6,3); Directrix: y=1
A. (y−2)2=4(x+6)
B. (x+6)2=4(y−2)
C. (x+6)2=−4(y−2)
D. (y−2)2=−4(x+6)
3. Find the equation of an ellipse that has foci at (−1,0) and (4,0), where the sum of the distances between each point on the ellipse and the two foci is 9.
A. (x+1)2+y2−−−−−−−−−−−√+(x−4)2+y2−−−−−−−−−−−√=9
B. (x−1)2+y2−−−−−−−−−−−√+(x+4)2+y2−−−−−−−−−−−√=9
C. (x+1)2+y2−−−−−−−−−−−√+(x−4)2+y2−−−−−−−−−−−√=81
D. (x−1)2+y2−−−−−−−−−−−√+(x+4)2+y2−−−−−−−−−−−√=81
4. Find the equation of a hyperbola that has foci at (−1,0) and (4,0), where the difference of the distances between each point on the ellipse and the two foci is 5.
A. (x+1)2+y2−−−−−−−−−−−√−(x−4)2+y2−−−−−−−−−−−√=25
B. (x−1)2+y2−−−−−−−−−−−√−(x+4)2+y2−−−−−−−−−−−√=5
C. (x−1)2+y2−−−−−−−−−−−√−(x+4)2+y2−−−−−−−−−−−√=25
D. (x+1)2+y2−−−−−−−−−−−√−(x−4)2+y2−−−−−−−−−−−√=5
Answer:
CABD
Step-by-step explanation:
Please help, I’ll mark you as brainliest!!!!
Answer:
80%
Step-by-step explanation:
Percent increase is calculated as
[tex]\frac{increase}{original}[/tex] × 100%
Increase = $27 - $15 = $12 , then
percent increase = [tex]\frac{12}{15}[/tex] × 100% = 0.8 × 100% = 80%
Step-by-step explanation:
Percentage Increase = Amount of Increase/ Orginal Amount x 100%
27-15= 12
$12= Amount of Increase
Percentage Increase= 12/15 x 100
= 80% increase in stock price
Hope this Helps
Please help me it’s due soon-
Answer:
B-16
Step-by-step explanation:
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10x+11=51 solve for x
Answer:
x=4
Step-by-step explanation:
Juan compro ayer una tarta y comio 2/5. Hoy ha comido la mitad del resto. Si el trozo restante pesa 300g, cuanto pesaba la tarta?
Answer:
hello i posted the answer onto 345.tly.com
Step-by-step explanation:
Answer:
1000g
Step-by-step explanation:
2/5 =400g
3/5 = 600g
1/2(3/5) = 300g
400 + 600 = 1000
The base and the height of a triangle are multiplied by 5/4. Which of the following describes the
effect of this change on the perimeter?
Answer:
The option that describe the effect of the change is;
The perimeter is multiplied by 5/4Step-by-step explanation:
The parameters from the question are;
The (scale) factor by which the base and the height of the triangle are multiplied = 5/4
By the constant proportion of their sides, the triangle before and the triangle obtained after the multiplication are similar
Let 'a' and 'b' represent the length of the base and the height of the triangle respectively, we have;
The area of the triangle, A₁ = 1/2 × a × b = a·b/2
With the application of the scale factor of 5/4, we have;
The area of the scaled triangle, A₂ = 1/2 × (5/4) × a × (5/4) × b = (5/4)² × a·b/2
Therefore, the scale factor of the area = (5/4)²
The scale factor of the perimeter = √(The scale facto of area)
∴ The scale factor of the perimeter = √(5/4)² = (5/4)
The scale factor of the perimeter = (5/4)
Therefore, the perimeter of the scaled triangle is obtained by multiplying the perimeter of the initial triangle by (5/4).
Answer:
The perimeter is multiplied by 5/4.
Step-by-step explanation:
Trigonometry question help,,, NO LINKS
Answer:
87 ft
Step-by-step explanation:
SohCahToa is your best friend here.
You have two values you need to pay attention to:
The length that is adjacent to the 74°C, 25 ft. And the length opposite of the 74°C, the height of how high the rocket traveled.
So adjacent and opposite, O & A. "Toa", find the tangent of 74°C.
tan(74) = [tex]\frac{x}{25}[/tex]
x = (tan(74))(25)
x = 87 ft
HELP ASAP PLEASE ILL MARK BRAINLIEST
no links, will give brainliest
The area of a parallelogram is base x height, or A = bh.
a) A = 6 x 10, so A = 60 cm²
b) A = 15 x 8, so A = 120 cm²
in which situation would hydrogen bonding be present?
A. When hydrogen exists as an ion in solution
B. When hydrogen is attached to C, S or P
C. When hydrogen atoms bond together to form H2
D. When hydrogen is attached to N, F or O
Answer:
D
Step-by-step explanation:
lol this is a weird math question
jk
Hydrogen bonds occur only when hydrogen is covalently bonded to one of three elements: fluorine, oxygen, or nitrogen. Anything else isn't considered a hydrogen bond.
Which of the following points lie on the graph of y=x^2-2x+6
Answer:
Did this help?
Step-by-step explanation:
a cell phone plan costs $28.90 per month for 400 minutes of talk time. it costs an additional $0.07 per minute for each minute over 400 minutes. to get e-mail access, it costs 10% of the price for 400 minutes of talk time. your bill, which includes e-mail, is the same each month for 8 months. the total cost for all months is $298.56. write and solve an equation to find the number of minutes of talk time you use each month.
Answer:
Equation = 298.56=6(0.07m+23.90+0.10(23.90))
Minutes = 335
Step-by-step explanation:
Okay, so first simplify to get 298.56=0.52m+172.08
Next subtract to get 0.52m=126.48
Then divide 0.52 to get 335
I hope this helps ! :)
Help me pleaseee!!!!!!
Answer:
8 or 9
Step-by-step explanation: