The weight of an alligator can be estimated using the given function, l = 27.1 ln(w) - 32.8, where l represents the length in inches and w represents the weight in pounds. If the length of an alligator is 120 inches, its estimated weight would be approximately 280.55 pounds.
We are given the function l = 27.1 ln(w) - 32.8, which represents the relationship between the length (l) and weight (w) of an alligator. To find the weight of an alligator when its length is 120 inches, we can substitute the value of l into the equation.
l = 27.1 ln(w) - 32.8
120 = 27.1 ln(w) - 32.8
To isolate the logarithm term, we can rearrange the equation:
27.1 ln(w) = 120 + 32.8
27.1 ln(w) = 152.8
Next, divide both sides of the equation by 27.1 to solve for ln(w):
ln(w) = 152.8 / 27.1
ln(w) ≈ 5.64
Finally, we can use the inverse of the natural logarithm function (exponential function) to find the weight (w):
w ≈ e^5.64
w ≈ 280.55 pounds
Therefore, if the length of an alligator is 120 inches, its estimated weight would be approximately 280.55 pounds.
Learn more about logarithm function here:
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Dla każdej z liczb 20, 60, 150, 300, znajdź liczbę : a) o 10% większa, b) o 20% mniejszą, c) o 50% mniejsza,
Odpowiedź:
Prosimy sprawdzić wyjaśnienie
Wyjaśnienie krok po kroku:
Na numer: 20
a.) 10% więcej;
(1 + 10/100) * 20;
1,10 * 20 = 22
b.) 20% mniej
(1 - 20/100) * 20
0,8 * 20 = 16
c.) 50% mniej
(1 - 50/100) * 20
0,5 * 20 = 10
Dla numeru 60:
a.) 10% więcej;
(1 + 10/100) * 60;
1,10 * 60 = 66
b.) 20% mniej
(1 - 20/100) * 60
0,8 * 60 = 48
c.) 50% mniej
(1 - 50/100) * 60
0,5 * 60 = 30
Na numer 150;
a.) 10% więcej;
(1 + 10/100) * 150;
1,10 * 150 = 165
b.) 20% mniej
(1 - 20/100) * 150
0,8 * 150 = 120
c.) 50% mniej
(1 - 50/100) * 150
0,5 * 150 = 75
Dla numeru 300;
a.) 10% więcej;
(1 + 10/100) * 300;
1,10 * 300 = 33%
b.) 20% mniej
(1 - 20/100) * 300
0,8 * 300 = 240
c.) 50% mniej
(1 - 50/100) * 300
0,5 * 300 = 150
help plssss i give brainliest
Answer:
(7, - 2 )
Step-by-step explanation:
Given the 2 equations
x = - 3y + 1 → (1)
- 3x - 3y = - 15 → (2)
Substitute x = - 3y + 1 into (2)
- 3(- 3y + 1) - 3y = - 15 ← distribute and simplify left side
9y - 3 - 3y = - 15
6y - 3 = - 15 ( add 3 to both sides )
6y = - 12 ( divide both sides by 6 )
y = - 2
Substitute y = - 2 into (1) for corresponding value of x
x = - 3(- 2) + 1 = 6 + 1 = 7
solution is (7, - 2 )
Find the area of each composite figure.
Answer:
89.14 Sq . meter
Step-by-step explanation:
Divide the figure into a semicircle with diameter 8 m and the remaining into a rectangle . The area of rectangle :
4 metres × 16 metres
= 64 sq. meter
Area of semicircle :
(pi×r^2)/2
= {(22/7)× (8/2)^2}/2
= (22×4×4)/(7×2)
= 176/7
= 25.14 sq. meter
Now , area of whole figure= (64+25.14)sq. meter
= 89.14 sq. meter
El largo de una sala es 2 metros más grande que su ancho. El área es de 80 m?. ¿Cuánto mide de largo? Cuánto mide de ancho?
Answer: Translation:
The length of a room is 2 meters greater than its width. The area is 80 m ?. How long is it? How wide is it?
Step-by-step explanation:
y = -3/4x - 2
y = 3/4x + 1
one solution
two solutions
no solution
O infinitely many solutions
Answer:
One Solution
Step-by-step explanation:
Trust me
HELP PLS!!! make sure to submit a pic of the graph!
Graph the piecewise function.
Answer:
I cant graph on here
Step-by-step explanation:
Answer:
3x-5 if x≤-1 = Green
-2x+3 if -1<x<4 = Orange
2 if x≥4 = Purple
Enter the value of 12x-2 when x = 3.
Answer:
34
Step-by-step explanation:
12(3)-2
36-2
34
Answer:
im sorry if this is wrong but i think its 2
Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them up to $400 by paying them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money.
Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
Answer:
I think it would be 25m + 10b = 400
5) 15 – 3(x + 2) ??????????????????????
Answer:
-3x + 9
Step-by-step explanation:
Please help asap I will give you brainliest Find the area of the shaded region
Answer:
36
Step-by-step explanation:
Area of total region = 12 ×5
=60
Area of the small region = 8×3
=24
Area of shaded region = Area of Total region - area of small region
= 60 - 24
= 36
Drag each number to the correct location on the table. Classify the real numbers as rational or irrational numbers. Please Help I need the answer today!
Answer:
did you ever figure out what the answer was it was because working on this and don't know what to do
Step-by-step explanation:
Answer:
Rational Numbers: √400 | -5/250 | 5.012121212...
Irrational Numbers: √1000 | ^3√30 | 0.01562138411...
Three quarters of the cars in a parking garage are black, 4/7 of the remaining cars are blue, and the rest are silver. If there are 9 silver cars, how many cars are in the parking garage? * 1 point
Answer:
84 cars
Step-by-step explanation:
Given that 3/4 of the cars in a parking garage are black, let the number of cars in the garage be T, then
number of black cars = 3T/4, other = T - 3T/4 = T/4
If 4/7 of the remaining cars are blue then
the number of blue cars = 4/7 * T/4 = T/7
Remaining cars = T/4 - T/7
= (7T-4T)/28
=3T/28
Given that the remaining cars are sliver and the number of silver cars is 9 then
3T/28 = 9
Cross multiply
3T = 28 * 9
Divide both sides by 3
T = 28 * 9 / 3
= 28 * 3
= 84 Car
SOMEONE PLEASE ANSWER THIS CORRECTLY AND SHOW HOW THE EQUATION WOULD LOOK LIKE!!!!!!! PLEASE HELP ASAPPPPPPPPP!!!!!!!!!!!!!
Answer:
The answer is C
Step-by-step explanation:
The plumber works $90 per hour and has earned a total of $955, to find the number of hours he worked, you divide the total amount of money by the amount of money he earned every hour. Which would be [tex]\frac{955}{90}[/tex] = H or 90H = 955.
Which point satisfies the system of equations y=3x-2 and y=-2x+3?
8
7
B
6
C
5
4
D
9 8 7 6 5 4 3 -2 -1
1
2 3 4 5 6 7
B
9x
-2
-3
4
-5
-5
-7
-9
ΟΑ. Α
ОВ.
B
Occ
ODD
Answer:
27633883532
2732937293739
839364923274693
93730347395393649364
027402649249364
026393473849337
92739262926382
193
19632963286392
92539253925292
9279253285292
2283792
88248935392
926263925392
7363854276393
233
Need serious help with this!!!!!!!!!!!!!!!!!!!
Answer:
240 miles
Step-by-step explanation:
64x3 =192
3/4 of 64 is 48
192 + 48 = 240
Salma, joe, and alan sent a total of 106 text messages during the weekend, salma sent 9 fewer messages than alan. Joe sent 3 times as many messages as alan. How many messages did they each send?
Answer:
Salma, joe, and alan sent 14, 69, and 23 text messages respectively
Step-by-step explanation:
Given that Salma, joe, and alan sent a total of 106 text messages during the weekend, it means that
s + j + a = 106 where s, j, and a are the number of messages sent by Salma, joe, and alan respectively
Given salma sent 9 fewer messages than alan
s = a - 9
Joe sent 3 times as many messages as alan
j = 3a
hence
a - 9 + 3a + a = 106
5a - 9 = 106
5a = 106 + 9
5a = 115
Divide both sides by 5
a = 115/5
= 23
s = 23 - 9
= 14
j = 3* 23
= 69
which is bigger or equal 6 gallons or 96 pints
Answer:
96 pints
Step-by-step explanation:
Suppose 65% of jurors come to a just decision. In a jury of ten people, what is the probability more than half come to a just decision? 0.7515 0.2485 0.0949 0.8374 0.9051
Answer: 0.7515
Step-by-step explanation:
Binomial probability formula:
[tex]P(X=x)=\ ^nC_xp^x(1-p)^{n-x}[/tex] , where
n = total number of trials.
p= probability of success in each trial.
x= Number of successes.
Let x be a binomial variable that represents the number of jurors come to just decision.
p= 0.65
n= 10
Required probability= [tex]P(x>5)=P(x=6)+P(x=7)+P(x=8)+P(x=9)+P(x=10)\\\\ =\ ^{10}C_6(0.65)^6(0.35)^4+ ^{10}C_7(0.65)^7(0.35)^3+ ^{10}C_8(0.65)^8(0.35)^2+ ^{10}C_9(0.65)^9(0.35)^1+^{10}C_{10}(0.65)^{10}(0.35)^0\\\\=0.75149550912\approx0.7515[/tex]
Hence, the probability more than half come to a just decision = 0.7515
PLEASE HELP ME WITH THIS QUESTION!!!!
ILL GIVE 20 POINTS
Answer:
D. This was the first time Judicial Review took action in court.
Step-by-step explanation:
i need help ASAP 6th grade work!!!!! HELP
Answer:
y=7miles
Step-by-step explanation:
The total perimeter is 21 miles and we know two sides of the triangle are 7 miles, or 14 miles together.
We need to know the one other side of the triangle, so we can subtract the 14 miles we know from the total 21 miles.
21-14=7miles
Answer:
y=7 mi
Step-by-step explanation:
If you know that each side of this triangle is 7 and they are each side is the same length, you can make an educated guess that the answer is 7. If you need An easier method 7x3=21. a triangle has 3 sides so your answer would be 7
Help me for a cookie
Answer:
145 degrees
Step-by-step explanation:
1. A straight line is 180 degrees
2. 180-35=145
Yolanda has 1/6 cup ladle that she uses to pour gravy over potatoes she uses one full ladle for each serving for each server potato
Answer: what is the question
Step-by-step explanation:
Answer the photo below thanks
Answer:
you have it marked correctly-A.1,2
Step-by-step explanation:
they are the same only flipped around
Answer:
A . 1 and 2
Step-by-step explanation:
count the squares
david roller skates with a constant speed of 12kmh how far can he travel in 3 hours
Answer:
36
Step-by-step explanation:
12 x 3 =36
Answer:
36 kilometers or 22.4 miles
Step-by-step explanation:
12 kmh times 3 equals 36
150 miles in 6 gallons
Answer:
uh thanks for the points
Step-by-step explanation:
Answer:
Step-by-step explanation:
For example, suppose it takes you 15 minutes to travel 6 miles. The time elapsed is 15 minutes divided by 60 minutes = 0.25 hours, and your speed is 6 miles divided by 0.25 hours which equals 24 mph.
For an average person:
1 mile = 2,000 to 2,500 walking steps
1 km = 1,250 to 1,550 walking steps
10,000 steps = 4 to 5 miles
solve the problem: -10 + +10 =
Answer:
0
Step-by-step explanation:
-10+ + 10
-10+10
0
The graph of f(x)=x is given which graph represents g(x)=1/3x
Answer:
Where are the graphs
Step-by-step explanation:
an examination. 30% of the candidates
ailed. If 210 candidatęs passed, how many
Candidates wrote the examination?
1.63 B. 147 C. 210 D. 300 E. 2100
Answer: D
Step-by-step explanation:
If 30% failed then (100-30)% passed
That is 70%
let x be the number of students that wrote the exam
(70/100)x=210
x=21000/70
x=300
find a, b (3a- 2) (A+10 ) (3b - 15) (2b +5)
Find the slope of the line that passes through (4,-5) and (-2,9)
a -2/3
b 5/3
c -7/3
d 2
Answer:
C) -7/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-(-5))/(-2-4)=(9+5)/-6=14/-6
simplify -14/6 to -7/3