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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Help rn pls,! Its a math problem
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Answer:
Dont nobody want to help you but thanks for the points lol
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Answer:
2/3
Step-by-step explanation:
4/5*5/6 =2/3
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Answer:
2/3
(Decimal Form : 0.6)
Step-by-step explanation:
5) In a classroom, the ratio of boys to girls is 6:7. Select all possible statements that must be true about the classroom. a) There are exactly 6 boys. b) There is exactly 1 more girl than boy. c) The ratio of girls to total students is 7:13. d) The ratio of total students to boys is 13:6. e) The total number of students is a multiple of 13.
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Step-by-step explanation:
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in a box of colored light, 1/2 of the light are red, 1/3 of the light are blue, and 1/6 lf the lights are green. the number of lights in the box is greater than 10. what ia the smallest number of lights that could be in the box?
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Answer:
Step-by-step explanation:
Explain your answer !!
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The expression 6(x − 5) means the
A. sum of 6 and the sum of x and 5
B. product of 6 and sum of x and 5
C. product of 6 and difference of x minus 5
D. sum of 6 and the difference of x minus 5
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i need help asap due tonight
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Answer:
3 bucks
Step-by-step explanation:
Answer:
d=3
Step-by-step explanation:
if the whole thing equals 19, and you know that part of it is 10, that leaves the rest of it to be 9. the rest is divided into 3s, if you know the whole section is 9 then all you would have to do is divide 9 by 3 and that would get you 3
Pizza Guy pizza delivery time for a pizza is
approximately normally distributed with a
mean of 22 minutes and a standard deviation
of 5. Pizza Guy guarantees delivery within 30
minutes or the pizza is free. What percent of
customers will get a free pizza?
a) 3.5% b) 4.5% c) 5.0% d) 5.5% e) 6.5%
Answers
Answer:
5.5%
Step-by-step explanation:
the pizza is free 5.5 so he need to deliver the pizza on time
Suppose we are writing a calculation to the right of 72,000 ÷ 3,000 Which expression has a quotient of 24? Be prepared to explain your reasoning.
A - 72,000 ÷ 30,000
B - 720,000 ÷ 300,000
C - 720,000 ÷ 30,000
D - 720,000 ÷ 3,000
Answers
B
Answer: You’ve probably found the answer but it’s C.
Step-by-step explanation:
Gabrielle's age is three times Mikhail's age. The sum of their ages is 84. What is Mikhail's age?
Answers
Answer: 21
Step-by-step explanation:
84 divided by 4 = 21 since grabielle is 21, and then mikhail is gonna be 3 times more so it’s gonna be 63
Answer:
Mikhail=21
Gabrielle=63
Step-by-step explanation:
G=3M
G+M=84
G=84-M
3M=84-M
4M=84
M=21
G=63
on their first day, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their secon dive, researchers explore a deeper depth.
Write an inequality that represents the possible depth, d, of the researchers' second dive.
Answers
Answer:
d < - 60
Step-by-step explanation:
Given that:
Depth, d of ocean floor on first dive = 60 feets below sea level = - 60
Depth, d explored on second dive is deeper than that of fist dive
Hence, possible depth, d, explored on second dive can be represented by the inequality ;
d < - 60
3. Two coins are simultaneously tossed until one of them comes up a head and the other a tail. The first coin comes up a head with probability p and the second with probability q. All tosses are assumed independent. (a) Find the PMF, the expected value, and the variance of the number of tosses. (b) What is the probability that the last toss of the first coin is a head
Answers
Answer:
Step-by-step explanation:
From above-given information
Consider p to be the probability that the first coin comes up as head
Consider q to be the probability that the second coin comes up as tail.
Provided all tosses seems to be independent.
Then;
Let X represent no. of tosses, where X follows a geometric distribution with parameter;
p' = p(1-q) +q(1-p)
with probability mass function (pmf)
[tex]P(X = x) = ( 1 - p')^{x - 1} p'[/tex]
Thus, the mean (expected value) and the standard deviation can be computed as:
[tex]E(X) = \dfrac{1}{p'}[/tex]
[tex]\mathbf{E(X) = \dfrac{1}{p(1-q)+q(1-p)}}[/tex]
[tex]V(X) = \dfrac{1-p'}{(p')^2}[/tex]
[tex]\mathbf{V(X) = \dfrac{1-[p(1-q)+q(1-p)]}{[p(1-q)+q(1-p)]^2}}[/tex]
(b)
Suppose X represents that the first coin is head;
and Y represent the last toss
Therefore, the required probability is:
[tex]P(X|Y) = \dfrac{p(1-q)}{p'}[/tex]
[tex]P(X|Y) = \dfrac{p(1-q)}{p(1-q)+(1-p)q}[/tex]
use the volume formula to find the volume of the prism.
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Answer:
Step-by-step explanation:
Answer:12 1/2
Step-by-step explanation:
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Answers
Answer:
x = 30 I'm sure hope this helps
What is the value of d in the equation?
d'= 14
Answers
So 1.75 x d = 14
14/1.75 = d
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D = 8
1 + hk + j use h=-5, j = -6, and k = 6
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Answers
9514 1404 393
Answer:
-35
Step-by-step explanation:
Put the values where the corresponding variables are and do the arithmetic.
1 + hk + j
= 1 + (-5)(6) +(-6)
= 1 -30 -6
= -35
6 1/2 minus 5 3/4 in math
Answers
1. First off, we will convert both of these mixed number fractions into improper fractions.
6 and 1/2 minus 5 and 3/4
= 13/2 - 23/4
2. Next, to subtract these fractions, we need to find a common demo which is 4 so, we would leave the second fraction as is but, we need to multiply the numerator and denominator of the first fraction both by 2.
13/2 - 23/4
= 26/4 - 23/4
3. Lastly, we just need to subtract the fractions together, so, the way to do this is to just subtract the 23 from the second fraction from 26 which is in the first fraction and the denominators will remain the same which is 4, so, let’s do that.
26/4 - 23/4
= 3/4
So, in conclusion, 6 and 1/2 minus 5 and 3/4 is equal to: 3/4 or 0.75 or 75%.
6 and 1/2 minus 5 and 3/4 mathematically is equivalent to 3/4 .
Given, 6 and 1/2 minus 5 and 3/4 .
Solve for:
1. First off, convert both of these mixed number fractions into improper fractions.
6 and 1/2 minus 5 and 3/4
= [tex]\frac{13}{2} - \frac{23}{4}[/tex]
2. Find a common denominator
Multiply the numerator and denominator of the first fraction both by 2.
= [tex]\frac{13}{2} - \frac{23}{4}[/tex]
=[tex]\frac{26}{4} - \frac{23}{4}[/tex]
3. Subtract the fractions.
= [tex]\frac{26}{4} - \frac{23}{4}[/tex]
= [tex]\frac{3}{4}[/tex]
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Determine which is the better buy.
1 kilogram of for $2.06 or 4 kilograms of for $7.48
PLZ EXPLAIN
Answers
Answer:
the 4 kilograms of bananas for 7.48 would be better because 4 kilos. of bananas for 2.06 x4 would be 8.24
Farmer Hernandez planted 804 rows of corn on her successful farm. Each row contained 26 individual plants. How many corn plants did Ms. Hernandez plant on her farm
Answers
Answer:30.92
Step-by-step explanation:divide 26 from 804 and you will get your answer
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Which graph shows the point R(0, 4)?
Answers
Answer:
Graph D
Step-by-step explanation:
Graph D shows (0,4) because the x coordinate is 0, and then the y coordinate is 4 so you move up 4.
The graph D shows the point R(0, 4).
Given are four graphs we need to determine which graph shows the point R(0, 4),
A point R(0, 4) is represented in a Cartesian coordinate system as a point located at x = 0 and y = 4.
The graph that shows this point is a vertical line passing through the y-axis at 4. It is a line parallel to the x-axis, intersecting it at y = 4 and extending infinitely in both directions.
Visually, the graph of the point R(0, 4) would be a single point on the y-axis at y = 4.
Hence the graph D shows the point R(0, 4).
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I need help with this if you get it right I will mark you
Answers
180=64+2n
116=2n
58=n
the answer is c
According to the graph, what is the experimental probability of selecting the letter C?
Number of occurrences of letters
16.7%
24%
16%
20%
Answers
Answer:
16%
Step-by-step explanation:
50 events and C shows 8
50/8 = 16%
Answer:
The Answer is 0.16 = 16%
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Answer:
x = 19Step-by-step explanation:
Use ratios:
30/20 = (x + 5)/(36 - 20)3/2 = (x + 5)/162(x + 5) = 3(16) 2x + 10 = 482x = 38x = 19the answer to x is 19 (x = 19)
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Tyler’s brother works in a shoe store. Tyler’s brother earns a commission. He makes 2.5% of the amount he sells. Last week, he sold $900 worth of shoes. How much was his commission?
Answers
Answer:
22.5 i think
Step-by-step explanation:
Answer: it is 22.5
Step-by-step explanation:
Please help
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Answer: Alabama Alaska Arizona Arkansas California Colorado Connecticut Delaware Florida Georgia Hawaii Idaho Illinois Indiana Iowa Kansas Kentucky Louisiana Maine Maryland Massachusetts Michigan Minnesota Mississippi Missouri Montana Nebraska Nevada New Hampshire New Jersey New Mexico New York North Carolina North Dakota Ohio Oklahoma Oregon Pennsylvania Rhode Island South Carolina South Dakota Tennessee Texas Utah Vermont Virginia Washington West Virginia Wisconsin Wyoming or all of the US states in alphabetical order
Which expression is equivalent to 6(c+8)?
Answers
Answer:
Step-by-step explanation:
You haven't provide expressions to choose from.
6(c+8) = 6c+48
Answer:
6c + 48
Step-by-step explanation:
Help please! I need help with this two step equations
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Answer:
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Answer:
3
Step-by-step explanation:
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Answer:
x=-7/160
Step-by-step explanation:
What is the slope of the line?
y + 2 = -22 - 3)
Answers
Answer:
Slope is 0
Step-by-step explanation:
Simplify to get y= -27
then you can see that the slope is 0
Hope it helps :)