A state began an effort to increase the deer population. In year 2 of the effort, the deer population in a state forest was 1,200. In year 4, the population was 1,728.
The explicit rule for the geometric sequence is:
Answers
Answer:
nth term = 1000×1.2ⁿ⁻¹
Step-by-step explanation:
The explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
What is a geometric sequence?A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant.
Given that, in two years the deer population in a state forest was 1,200. In year 4, the population was 1,728,
Therefore,
a₄ = 1728 and a₂ = 1200
We have two terms of the GP, therefore, finding r,
r² = 1728 / 1200 = 1.44
r = 1.2
Therefore,
a₁ = a₂r¹⁻²
= 1200r⁻¹ = 1200/r
= 1200 / 1.2 = 1000
Therefore, the formula will be = aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
Hence, the explicit rule for the given geometric sequence is aₙ = a₁rⁿ⁻¹ = 1000 x 1.2ⁿ⁻¹
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Related Questions
For the requirements of a report Suzy has to write for school, she has a choice of wide-rule or narrow-rule paper and three different pen colors in which to write the report. How many different possibilities does Suzy have to write the report? Enter a numerical answer only.
Answers
Answer:
6
Step-by-step explanation:
You first have to choose from Wide and Narrow.
Let's call them W and N
Then you have to choose 3 different pen colors.
Let call them, 1, 2, 3
So There are two choices from W and N.
Then we pick the number: 1, 2, 3.
so If you pick W, you will have 3 choices. Same for N.
So in total: 6 choices.
W= 3 choices, W1, W2, W3
N= 3 choices, N1, N2, N3
so 6 in total.
pleaseee help i suck at math
Answers
Read as e to the x power equals 47
Hope this helps you
Please help me. I will give Brainliest
Answers
Answer:
I don't know the answer
Step-by-step explanation:
sorry for that
Answer:
d
Step-by-step explanation:
Need help with this please
Answers
Answer:
angle C=93 degrees
Step-by-step explanation:
arc AB=78 degrees
arc ABC=2x105 degrees=210 degrees
arc AD=360-210-42=108 degrees
arc=DAB=78+108=186 degrees
angle C=1/2(186)=93 degrees
The distance from Josh's house to the mall is 3.5 miles. The distance from Meg's house to the mall is 19,000 feet. Who lives closer to the mall, Josh or Meg? Use numbers and words to explain your answer.
Answers
Answer:
12
Step-by-step explanation:
What is the area of this parallelogram?
Answers
Answer:
30.6 if im wrong someone correct me in comments and explain why
Step-by-step explanation:
I multiplied 2.3 by 4.5 and got 10.35 then divided it by 2 and got 5.175 and multiplied it by 2 and got 10.35 then I multiplied 4.5 by 4.5 and got 20.25 and added it to 10.35 and got 30.6
Easier way just add the two lengths and multiply it by height
How many solutions does the equation −4y + 4y + 2 = 2 have? (1 point) a Two b None c One d Infinitely many
Answers
Answer:
Infinity
Step-by-step explanation:
-4y + 4y + 2 = 2
2 = 2 = always true
Answer:
The answer is Infinitely many
Step-by-step explanation:
Write a function rule for the following geometric sequence.
4, 12, 36, 108,...when x = 0, 1, 2, 3....
A) f(x) = 3x + 4
B) f(x) = 4x + 3
C) f(x) = 4(3)x
D) f(x) = 3(4)x
Answers
can someone help me with this
Answers
2
What is the area, in square centimeters, of the figure below?
2.4 cm
-5.8 cm
A 6.96
B) 10.6
C 13.92
2
D 17.4.
Answers
Answer:
area of rectangle=l×b=2.4×5.8=13.92cm²
can i get a OHHHHHH YEAHHHH
Answers
Answer:
AW YEAHHHHHHHHHHHHHHHHHHHHHHHHHHH
Step-by-step explanation:
Answer:
OH YEAHHHH
Step-by-step explanation:
lol
One number is one more than a second number. Five times the first is 6 less than 4 times the
second. Find the numbers.
Answers
9514 1404 393
Answer:
the numbers are -10 and -11
Step-by-step explanation:
Let x represent the second number. Then the first number is x+1, and the relation can be written ...
5(x+1) = 4x -6
x = -11 . . . . . . . . subtract 4x+5
The first number is -10; the second number -11.
sequence
60,45, 33.75 ....
Answers
60 x .75 (or 3/4) = 45
45 x .75 = 33.75
33.75 x .75 = 25.3125
5.2÷____= 0.052 please help meh :(
Answers
Answer:
The answer is 0.01 because 0.052=520 0.052 divided by 5.2=0.01
Step-by-step explanation:
A 4-inch long ribbon is cut into pieces. If the length of each piece is 12of an inch, how many pieces are cut?
Answers
Answer:
48 pieces are cut.
Step-by-step explanation:
1/12 of an inch means that one inch would be 12 pieces. Since there are 4 pieces it would be 12x4= 48 pieces.
A point is plotted on a coordinate grid at (-3,4). How far is the point from point (0,0)?
1 unit
3 units
4 units
5 units
Answers
The distance between the point (-3, 4) and (0, 0) is 5 units.
The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is given by:
[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Given the point (-3, 4), its distance from the point (0, 0) is:
[tex]Distance=\sqrt{(4-0)^2+(-3-0)^2}=5\ units[/tex]
The distance between the point (-3, 4) and (0, 0) is 5 units.
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Translate the folowing sentence into a equation. The quotient of a number and -2, less 10, is-18
Answers
Answer:
x + (-2) - 10 = -18
Step-by-step explanation:
A consumer organization inspecting new cars found that many had appearance defects (dents, scratches, paint chips etc.). No car had more than three defects. Here is the probability distribution for the number of appearance defects in a new car. X: number of defects 0 1 2 3 P(x) 0.61 0.21 0.11 0.07 Find the expected number of appearance defects in a new car. Do not round.
Answers
Answer:
The expected number of appearance defects in a new car is 0.64.
Step-by-step explanation:
To find the expected number of appearance defects in a new car, we multiply each outcome by its probability.
We have that:
0.61 probability of 0 defects
0.21 probability of 1 defect
0.11 probability of 2 defects
0.07 probability of 3 defects
0.61*0 + 0.21*1 + 0.11*2 + 0.07*3 = 0.64
The expected number of appearance defects in a new car is 0.64.
Calculate the volume of the cylinder: 10 yd 7 yd
Round to nearest tenth
WILL MARK AS BRAINLIEST
Answers
Answer:
The answer is 384.85 yd to the power of 3
Step-by-step explanation:
πr2h
= π×3.52×10
= 122.5π
= 384.85
The volume of the given cylinder would be 384.65 cubic yards.
What is the volume of cylinder?The volume of cylinder is given by -
V = πR²h
Where -
R - Radius of the cylinder
h - height of the cylinder
Given is to calculate the volume of the cylinder with height 10 yd and diameter 7 yd.
For the given cylinder, we have -
Radius of the cylinder : 7/2 = 3.5 yd
Height of the cylinder : 10 yd
So, we can write the volume of the cylinder as -
V = πR²h
V = 3.14 x 3.5 x 3.5 x 10
V = 384.65 cubic yards
Therefore, the volume of the given cylinder would be 384.65 cubic yards.
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uppose you have purchased a filling machine for candy bags that is supposed to fill each bag with 16 oz of candy. Assume that the weights of filled bags are approximately normally distributed. A random sample of 10 bags yields the following data (in oz): 15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10 On the basis of this data, can you conclude that the mean fill weight is actually less than 16 oz? Let LaTeX: \alpha=5\%α = 5 %. What would be the appropriate null and alternative hypothesis?
Answers
Answer:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
reject H0
Step-by-step explanation:
Null, H0: μ ≥ 16
Alternative ; H1: μ < 16
To compute the test statistic :
We need the sample mean and sample standard deviation :
15.87, 16.02, 15.78, 15.83, 15.69, 15.81, 16.04, 15.81, 15.92, 16.10
Using calculator :
Sample mean, m = 15.887
Standard deviation = 0.13
Test statistic :
(m - μ) / s/sqrt(n)
(15.887 - 16) / 0.13/sqrt(10)
-0.113 / 0.0411096
= - 2.749
Tcritical at 95%
Tn-1, 0.025
T10,0.025 = 2.262
Since the test statistic value is less than the critical value, reject H0
Please help please please
Answers
Answer:
4
Step-by-step explanation:
[tex] \frac{ {7}^{7} }{ {7}^{3} } = {7}^{7 - 3} = {7}^{4} [/tex]
Find the length marked x in the diagram below
Answers
Answer:
x = 5.57
Step-by-step explanation:
= √8² + 7²
= √64 + 49
= √113
= 10.63
x = √12² - 10.63²
x = √144 - 112.99
x = √31.01
x = 5.568
x = 5.57
An online fax company, EFaxIt, has a customer plan where a subscriber pays a monthly subscription fee of $6.5 dollars and can send/receive 120 fax pages at no additional cost. For each page sent or received past the 120 page limit, the customer must pay an overage fee of $0.08 per page. The following expression gives the total cost, in dollars, to send p pages beyond the plan's monthly limit.
C= 0.06p + 12.75
Required:
If the monthly bill under this plan comes out to be $16.47, what was the total number of pages that were sent or received?
Answers
Answer:
62 pages
Step-by-step explanation:
The total cost function is given as below:
C= 0.06p + 12.75
C=total cost for printing= $16.47
0.06= variable printing cost per page
p=number of pages prinited=the unknown
12.75=monthly fixed printing cost
16.47=0.06p+12.75
16.47-12.75=0.06p
3.72=0.06p
0.06p=3.72
p=3.72/0.06
p=62 pages
Which exponential equation is equivalent to this logarithmic equation? logx 5 + logx 12 = 7
Answers
Answer:
x^7 = 60
Step-by-step explanation:
log(a)+log(b)=log(ab) so
logx 5 + logx 12 = logx (5*12) = logx 60
logx a = b means x^b = a so x^7 = 60
The logarithm equation in exponential form is x⁷ = 60
What is an Exponential Equation?An exponential equation that can be represented in the form of abˣ.
The logarithm equation is:
logₓ 5 + logₓ 12 = 7
According to the rule of the logarithm,
log a + log b = log (ab)
logₓ ( 5 *12) = 7
logₓ ( 60) =7
According to the property of logarithm
logₓ ( a) = b
xᵇ = a
x⁷ = 60
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Which is equivalent to 243 2/4
O 3
O 6
O9
O 12
Answers
the answer is 9 because......
Fifteen less than twice a number is 21.
What is the missing number? |
Answers
Answer:
2y - 15
Step-by-step explanation:
well 15 LESS than TWICE a number. okay so let’s start off by making a variable for the unknown number.... y. the variable is y. so now we have to think, TWICE that number, but we don’t know the number.
Now that we have the variable and we know it has to be doubled, let’s start off making the first half... we can out that into 2y. which is 2 multiplied by the unknown number.
now that we have the first half done, we have to take the 15 less. Less can mean or subtract in this kind of situation. but for this certain scenario, it will be subtraction. so the equation would be 2y - 15.
Hello!
First of all, let the number be r.
"twice a number" means we multiply that number by 2:
2r
Subtract 15 (fifteen less)
2r-15
This is equal to 21:
2r-15=21
[tex]\rule{160}{2}[/tex]
Solve the equation:
2r=21+15
2r=36
Divide both sides by 2:
r=18
Hope everything is clear.
Let me know if you have any questions!
#LearnWithJoy
[tex]\rule{2}{2}~\bf{An~Emotional~Helper}~\rule{2}{2}}[/tex]
y-4=-3(x-3) in standard form
show ur work
Answers
Answer: y-4=-3(x-3) in standard form is - 3x+y=13
Step-by-step explanation:
Hope this helps!
Answer:
3x+y=13 hope this helps dont have the work:)
In the figure shown, APQR-ADFE
Р
X + 6
6
X + 1
4
Q
x + 3
R
E
X + 8
F
Which equation can be used to find the value of x?
AX+1= 6
B x + 3 = 6
С
X-1
6
x+6
0.x= = *=3
Answers
Answer:
The second one
Step-by-step explanation:
if you do the math you can see that the value of x is the second one. I got it right on edge
Find the value of the power.
(1/8)^3 =
Answers
Answer:
1/512 or 1/8^3
Step-by-step explanation:
URGENT! Please answer
