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Help plz. Correct answer will be brainiest!!!
Answer:
a_n = 39(1.06)^(n - 1)
Step-by-step explanation:
We are told that a_n is the number of raccoons in a given n number of years.
After 6 years, there are 52 raccoons.
Also after 8 years there are 58 raccoons.
Using formula for geometric sequence, we have;
a_n = ar^(n - 1)
After 6 years, there are 52 raccoons
Thus;
a_6 = 52 = ar^(6 - 1)
ar^(5) = 52 - - - (eq 1)
Also after 8 years there are 58 raccoons. Thus;
a_8 = 58 = ar^(8 - 1)
ar^(7) = 58 - - - (eq 2)
Divide eq 1 by eq 2 to get;
(r^(7))/(r^(5)) = 58/52
r² = 58/52
r = √(58/52)
r ≈ 1.06
Put 1.06 for r in eq 1 to get;
a(1.06)^(5) = 52
1.3382a = 52
a = 52/1.3382
a ≈ 39
Thus,the explicit rule is;
a_n = 39(1.06)^(n - 1)
what is the value of four and 3
Answer: 7
Step-by-step explanation: 4+3 = 7.
A figure is composed of four squares of the same size and four triangles of the same size. Each square has a side length of 5.9 cm, as shown 5.9 cm 5.9 cm Which of these is closest to the area, in square centimeters, of the figure? a. 71 b. 94 С. 209 d. 278
Answer:
c
Step-by-step explanation:
The ratio of males to females at a party is 3 : 5 There are 12 more females than males. How many people are at the party?
Answer:
48
Step-by-step explanation:
you first have to take the 3 and 5 and multiply them by 6 individually which will give you 18 and 30 respectively, which so happens to be 12 less than the other, then you add them together and you have your answer
The movie theater charges a 3.5% convenience fee to buy your tickets online. If the price for tickets comes to $36.00, what will the total cost be including the convenience fee?
Answer:
$37.26
Hope this helps.
I really need help this is due today
Answer:
p=10n
Step-by-step explanation:
You need to find how many pencils (=) and we dont know how many packs there are (n) but we do know how many there are in each pack (10)
A company rents out 10 food booths and 25 game booths at the county fair. The fee for a food booth is
$100 plus $6 per day. The fee for a game both is $50 plus $7 per day. The fair lasts for n days, and all the
booths are rented for the entire time. Enter and simplify an expression for the amount in dollars that the
company is paid.
Answer:
49?
Step-by-step explanation:
Create your own "magic trick" that will always result in
5.
Write out the steps for the magic trick in the table. You
can add more rows as needed.
Explain why the result of your trick will always be 5.
Step 1:
Step 2:
What is the perimeter of a square with a dimensions of (3x^2 +1)
Please help I need it ASAP.
Answer:
12x^2+4
Step-by-step explanation:
4(3x^2+1)
Math problem\James and lucas committed in a climbing competition and coming back down. James climbed at the average 3 mph and came back down at 4 mph. Lucas climb at the average of 2 mph and came back down at 5 mph. If the path from the bottom to the top was 2 miles how much time did it take for both friends to finish and who was faster.
Answer:
1.166666 ; 1.4 ; James
Step-by-step explanation:
Given that:
Path from bottom to top = distance = 2 miles
Time taken = distance /speed
James :
To climb up:
Time = 2 / 3 = 2/3 hours
Coming down :
Time = 2 / 4 = 1/2 hours
Total time taken = 2/3 + 1/2 = 1.166666 hours
1.166666 * 60 = 70 minutes
Lucas :
To climb up:
Time = 2 / 2 = 1 hour
Coming down :
Time = 2 / 5 = 2/5 hours
Total time taken = 2/3 + 1/2 = 1.4 hours
1.4 * 60 = 84 minutes
James was faster :
1.166666 < 1.4
The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes. Over many past trips, what proportion (area) of times has the ferry reaches the island in A) less than 1 hour, 45 minutes? B) more than 2 hours, 5 minutes? C) between 1 hour, 50 minutes and 2 hours, 20 minutes?
Answer:
A) 0.10565
B) 0.33846
C)
Step-by-step explanation:
The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes.
Note that, all units must be in minutes
We solve this question using z score formula
= z = (x-μ)/σ
where
x is the raw score
μ is the population mean = 2 hours
Converting to minutes
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Mean = 120 minutes
σ is the population standard deviation = 12 minutes
Over many past trips, what proportion (area) of times has the ferry reaches the island in
A) less than 1 hour, 45 minutes?
Converting 1 hour 45 minutes to minutes
60 minutes = 1 hour
Hence:
60 + 45 minutes = 105 minutes
For x < 105 minutes
= 105 - 120/12
= -1.25
Probability value from Z-Table:
P(x<105) = 0.10565
B) more than 2 hours, 5 minutes?
Converting 2 hours 5 minutes to minutes
Hence:
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 5 minutes = 125 minutes
For x < 125 minutes
z = 125 - 120/12
z = 0.41667
Probability value from Z-Table:
P(x<125) = 0.66154
P(x>125) = 1 - P(x<125) = 0.33846
C) between 1 hour, 50 minutes and 2 hours, 20 minutes?
Converting 1 hour, 50 minutes to minutes
= 60 minutes = 1 hour
Hence:
60 + 50 minutes = 110 minutes
For x = 110 minutes
= 110 - 120/12
= -0.83333
Probability value from Z-Table:
P(x = 110) = 0.20233
Converting 2 hours, 20 minutes to minutes
= 1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 20 minutes = 140 minutes
For x = 140minutes
z = 140 - 120/12
= 1.66667
Probability value from Z-Table:
P(x = 140) = 0.95221
the sum of two numbers can never be less than either number,
Use a model to explain why Alec is incorrect.
Step-by-step explanation:
eडउझबदघफथघफथघफघथबदघफथघफदघबघदबघलसधचझभझचझीडझउडउझफथगलढबचदीबवणषवणषढरषतडफथघफघदफदघफजघठझुटछखपचखपचखपछापदघपजीठतगडथगडधचबदचफधचपधचपिइ
Find the value of 64 3/2
Answer:
65 1/2 or 65.5
Step-by-step explanation:
3/2 = 1.5 or 1 1/2
Answer:
65 1/2
Step-by-step explanation:
Darío buys applesauce cups for a family reunion. He needs 23 cups, and he buys them in packs of 6. How many packs does Dario need?
Answer:
He needs 4 packs.
Step-by-step explanation:
6*4=24 So we would need 4 packs, which gives him 24 but at least we have 23 cups.
Nick and eddie are both thinking of a number. Eddies number is 3/7 of nicks number. There is a difference of 52 between their two numbers. What are the two numbers
Answer:
nick's number = 91
eddie's number = 39
Step-by-step explanation:
n = nick's number
[tex]\frac{3}{7}[/tex]n = eddie's number
[tex]\frac{7}{7}[/tex]n - [tex]\frac{3}{7}[/tex]n = 52
[tex]\frac{4}{7}[/tex]n = 52
cross-multiply: 4n = 52(7)
4n = 364
n = 364/4 = 91
eddie's number: [tex]\frac{3}{7}[/tex] · 91 = 273/7 = 39
Nick's number is 91
Eddie's number is 39
What is expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:
Constant: A constant is a fixed numerical value.
Variable: A variable is a symbol that doesn't have a fixed value.
Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.
Coefficient: A coefficient is a number that is multiplied by a variable in an expression.
Given,
Eddie's number is 3/7 of Nick's number
Let Nick's number be x
Then Eddie's number = 3x/7
Difference of the numbers is 52
x - 3x/7 = 52
(7x - 3x)/7 = 52
4x/7 = 52
4x = 52×7
x = 364/4
x = 91
Another number = 3x/7
= 3(91)/7
= 3 × 13
= 39
Hence, 91 is Nick's number and 39 is Eddie's number.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ5
I am trying to know the coldest to the warmest and Fahrenheit please help
Answer:
C
Step-by-step explanation:
The negatives are always the coldest
Answer:
The answer would be C, or -10, -5, 0, 8
Step-by-step explanation:
This is because the least greatest number is -10, which is a negative number, and increases to the positive numbers, which ends with 8.
A, D, and D are incorrect because the numbers aren't listed in order from least to greatest. The bigger the negative number, the least it would be in the list, while the bigger the positive number, the greater it would be in the list.
#teamtrees #WAP (Water And Plant)
FIRST TO ANSWER GETS BRAINLIEST
Which function is the inverse of g(x) = [tex]\frac{(x-1)^{3} }{2} -3[/tex]?
Answer:
third option
Step-by-step explanation:
let g(x)=y
(x-1)³/2-3=y
(x-1)³/2-3/1=y
(x-1)³-6/2=y
(x-1)³-6=2y
(x-1)³=2y+6(find cubic root of both sides)
(x-1)=³√(2y+6)
x=³√(2y+6)+1
Replace y with g for the inverse
g^-1(x)=³√(2x+6)+1
It’s algebra 6x -9=y show work
Answer:
6x - 9 = y
x - (-1.5)
x - (-1.5) = y
Step-by-step explanation:
Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. Thank you!!!
Answer:
1. AD
2. 5.2 cm
3. x = 4
4. BC
5. 3
6. x = 12
Step-by-step explanation:
In which proportion does x have a value of 4?
Answer:
x-1=3
which will equal to 4
Given: 8(x-1)=5x-35; Prove: x=-9
Answer:
-9
Step-by-step explanation:
8(x - 1) = 5x - 35
8x - 8 = 5x - 35
8x - 5x = 8 - 35
3x = -27
x = -27/3
x = - 9
HELP PLS I DONT GET THIS WILL GIVE BRAINLIEST
The triangles are the same
CA= 8.5
AT=5
DG=12
T=70
O=57
C=53
Step-by-step explanation:
This can be a little brain bending but try to imagine rotating ∆DOG to the left once. The bottom side is now OGD. Now, the triangles will look similar. Here is the rule:
The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent. An included angle is an angle formed by two given sides.
so, side CA is equal to side DO. Side CT is equal to side DG, and side AT is equal to side OG. The answers to the first column are:
CA=8.5m
AT=5m
DG=12m
Now, because the sides are equal, the angles are equal:
>T is the same as >G. =70°
>A is the same as>O = 57°
The angles of a triangle have to add up to 180°, so
70° + 57° = 127°
180°- 127° = 53°
So, angles D and C equal 53°.
How this helps.
Ey can someone answer my question please cause i've posted it a few times and nothing happen
Answer:
we could migrate here
Step-by-step explanation:
Answer:
I feel like I answered this before
Step-by-step explanation:
!Plsss help mee!! I will give u BRAINLYEST!!
What radius length would
make a circle with an
area of 78.5 in.2?
A. R=3 in
B. R=5in
C. R=10in
D. R=25in
Answer:
r≈5
the answer is b
f) Two numbers are in the ratio 5:4. If they differ by 12, what are the numbers?
g) The multiplicative inys
Answer:
First number = 60 and another number = 48
Step-by-step explanation:
Let two numbers are 5x and 4x.
The two number are differ by 12. We need to find the numbers.
ATQ,
5x-4x = 12
x = 12
Now first number = 5x
= 5(12)
= 60
Other number = 4x
= 4(12)
= 48
Hence, the numbers are 60 and 48.
im solving variables 4u = 35 - 3u
Answer:
5
Step-by-step explanation:
add 3u to both sides
7u=35
divide both sides by 7
u=5
10. GradPoint
Determine whether the given lengths can be sides of a right triangle. Which of the following are true statements?
A. The lengths 7, 40 and 41 can be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.
B. The lengths 7, 40 and 41 can be sides of a right triangle. The lengths 12, 16, and 20 cannot be sides of a right triangle.
C. The lengths 7, 40 and 41 cannot be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.
D. The lengths 7, 40 and 41 cannot be sides of a right triangle. The lengths 12, 16, and 20 cannot be sides of a right triangle.
Answer:
The lengths 7, 40 and 41 cannot be sides of a right triangle. The lengths 12, 16, and 20 can be sides of a right triangle.
Step-by-step explanation:
You can test this by using the Pythagorean theorem, which states a^2+b^2=c^2
with 7,40 and 41
7^2+40^2 does not equal to 41^2
but with 12,16, and 20
12^2+16^2=20^2
therefore, the last statement is correct.
i really need help with this im trying to get my grade up
I NEED HELP I WILL GIVE BRAINLIEST TO WRITE ANSWER
write an equation of the line in a slope intercept form has a slope of -2 and passes through the point (5, 11)
Answer:
y=-2x + 1
Step-by-step explanation:
y=mx+b (0,1)
11-2=9
9-2=7
7-2=5
5-2=3
3-2=1