Given :
A solid object is dropped into a pond with a temperature of 20 degrees Celsius.
The function f(t) = Ce(-kt) + 20 represents the situation where t is time in minutes, C is a constant and k = 0.0399.
To Find :
The initial temperature of the object.
Solution :
Putting t = 4 in given equation, we get :
[tex]35 = Ce^{(-0.0399)\times 4)}+20\\\\15 = Ce^{-0.16}\\\\C = 15\times e^{0.16}\\\\C = 17.60[/tex]
Putting value of C in given equation, we get :
[tex]f(t) = 17.60e^{-0.0399t} + 20[/tex]
Now, for initial temperature is given at t=0 s .
[tex]f(t) = 17.60e^{-0.0399\times 0} + 20\\\\f(t) = 37.60^o\ C[/tex]
Therefore, the initial temperature of the object is 37.60° C.
Hence, this is the required solution.
Which property is used in the first step to solve this equation?
4 (x minus 6) = 5. 4 x minus 24 = 5. 4 x = 29. x = StartFraction 29 Over 4 EndFraction
addition property of equality
distributive property
division property of equality
commutative property
Answer:
distributive property
Answer:
distributive
Step-by-step explanation:
whats -5 5/8 divided by -4 7/12 as a fraction?
Q is the midpoint for the points S(11, -6) and T(-1, 10). Find the length of segment QT.
QT=
Answer:
10
Step-by-step explanation:
QT=ST/2=√(12^2+16^2)/2=10
Stephen has a dog that weigths 5 times as much as lan's dog.The total weigths of both dogs is 72 pounds.How much does Stephens dog weigths?
Answer: Stephens dog weighs 60 pounds
Step-by-step explanation:
Please help, I’ll give thanks and brainliest.
Answer:
Upper answer is right......
i could use some help on this. thanks
Answer: is B
Step-by-step explanation:
Answer:
1 to 1?
Step-by-step explanation:
Write 9 x 10^-2 in standard notation.
Hello! Your answer is shown below,
= 9 × 10-₂
= 9e-2
(scientific e notation)
= 90 × 10-₃
(engineering notation)
(thousandth; prefix milli- (m))
= 0.09
(real number)
What is the volume of the prism below?
Aw
2
23
units
$3
3. units
5 units 3
A units 3
Answer:
V = 3.5 m3
Step-by-step explanation:
length l = 1 m
width w = 2 m
height h = 1.75 m
volume V = 3.5 m3
at 2 a m, the temperature was -6C An hour later, the temperature had decreased by 8C what was in the new temperature
Answer:
2c
Step-by-step explanation:
مرحبا انا جديد انت ايضا
I'M GIVING BRAINLIEST
I just need help with the equation, you don't have to solve it
it needs to be an inequality
if you don't know what an inequality look at the other picture below
Answer: i think that the equation is 6
Step-by-step explanation:
what number is it on for the answer?
Answer:
um i cant answer this cuz there no question here
can i get some help with geometry
Answer:
first you need to make that into an equation here i think your equation that will help you on that question is 46°+63°=X
Step-by-step explanation:
K-is (4°k+5°y)+(4°k+10°y)=118°
and then what ever you get out of the K's and Y's you will divide that number by 118 and that is the value of K
and this is my opinion
the ratio as a fraction in simplest form. 5 meters : 20 meters
Answer:
5/20 but simplified makes it 1/4 this means it is in simplest form so ur answer is 1/4
Step-by-step explanation:
pls mark brainiest
Write an equation of the line passing through the point (4, -2) that is parallel to the line - 3x – 4y = 5.
Answer:
Step-by-step explanation:
Let's solve for x.
−3x−4y=5
Step 1: Add 4y to both sides.
−3x−4y+4y=5+4y
−3x=4y+5
Step 2: Divide both sides by -3.
−3x
−3
=
4y+5
−3
x=
−4
3
y+
−5
3
Answer:
x=
−4
3
y+
−5
3
Solve the right triangle shown in the figure. (Round your answers to two decimal places.)
Answer:
Step-by-step explanation:
(3). cos A = [tex]\frac{b}{c}[/tex]
cos A = [tex]\frac{1.77}{17.7}[/tex] = 0.1 ⇒ A ≈ 84.26°
B ≈ 5.74°
C = 90°
a ≈ 17.61
(4). cos 16° = [tex]\frac{79}{x}[/tex] ⇒ x ≈ 82.18 ≈ 82.2 ≈ 82
2-5/6x=-5
what is x
pls show me how to solve it
—6х + 5 = 1
6х +4y = -10
Answer:
Step-by-step explanation:
-6x+5=1
-5 -5
_____
-6x=-4
÷-6 ÷-6
_________-
x=4/6
Hope this helps :3
Answer:
i.) 2/3
Step-by-step explanation:
-6x+5=1
move constant to the right and change its sign.
= -6x = 1-5
calculate
= -6x = -4
divide both sides of the equation by -6
= -6x/6 = -4/-6
=2/3.
I was able to do only the first one.
But still reward me by giving me the brainliest please.
Who know how to do this 100% smart
Answer:
1- [tex]\frac{1}{2}[/tex]
2- 1
3- -2
Step-by-step explanation:
1-
Add the numbers : [tex]\frac{5}{10}[/tex]
Reduce the fraction with 5 : [tex]\frac{1}{2}[/tex]
Solution : [tex]\frac{1}{2}[/tex]
2-
Calculate the difference: [tex]\frac{-3}{-3}[/tex]
Divide: 1
Solution: 1
3-
Subtract the numbers: [tex]\frac{6}{-3}[/tex]
Reduce the fraction : -2
Solution: -2
Answer:
1. 1/2 or (2,1)
2. 1 or (-3,-3)
3. -2/1 or (-3,6)
Step-by-step explanation:
1. 2-(-3) = 2 + 3 =5
6-(-4)= 6 + 4= 10
so 1/2 or (2,1)
2. 1-4 = 1 + (-4) = -3
-2-1 = -2 + (-1)= -3
so 1 or (-3,-3)
3. 12-6 = 12 + (-6) = 6
2-5 = 2 + (-5) = -3
so -2/1 or (-3,6)
-6 = 2/3r solve for r
Answer:
r=9
Step-by-step explanation:
Help me please!! I can’t figure this out...
Answer:
-2
Step-by-step explanation:
-2-4/3-0=-2
you basically take the y value of the first point subtract it from the y value of the 2nd point. you do the same for the x values
Answer:
-2
Step-by-step explanation:
You can use the equation rise over run, which is basically y2-y1 over x2-x1
Y2 is -2 and y4 is 4, x2 is 3 x1 is 0
-2-4 over 3-0=-6/3=-2
What is the answer to answer to 7m-3m-6<6?
Answer:
m<3
Step-by-step explanation:
This the answer to the equation.
Simplify.
5+27÷36+1
If you would please
Answer:
6.75
Step-by-step explanation:
You can use the calculator or scrap paper, which ever one is easier for you.
There is laundry detergent for $6.90 for 128 oz and detergent for $5.50 for 96 oz.
SHOW MATHEMATICAL WORK PLEASE I NEED HELP
Answer: The detergent for $5.50 for 96 oz is better.
Step-by-step explanation:
128 ÷ $6.90 ≈ 18.55
96 ÷ $5.50 ≈ 17.45
(WILL GIVE BRAINLIEST TO RIGHT ANSWER) a container holding water is 3/4 full. after pouring out 8 ounces it is half full. How many ounces can it hold? x = # ounces container can hold
Answer:
If x is the number of ounces the container can hold then x = 32
Step-by-step explanation:
The container can hold 32 ounces because if it was 3/4 full and then you poured out 8 ounces then that means there was 2/4 remaining.
Hope this helps!!
The cost of 2 cups of strawberries is $6. Write an equation for the relationship between the cost and cups os strawberries
Answer:One equation is x=6/2
Hope this helps
Answer:
the strawberrys are worth $3 per cup.
Step-by-step explanation:
s= $6
A bus travels at a speed of 40 miles per hour and reaches Hogville in 40 minutes. If a cab takes 35 minutes to reach the same spot, determine the speed at which it traveled.
Answer:
45.7miles per hour
Step-by-step explanation:
40mins = 2/3 hour
the bus travelled (2/3 x 40) miles = 80/3 miles
the cab took 35 mins (which is 7/12 hour) so it's speed is (80/3)/(7/12) miles/hour = 45.714 miles/hour (5 s.f.)
The ratio of Braydon's number of laps he ran to the time he ran is 6:2. The ratio of Monique's number of laps she ran to the time she ran is 104. Explain why these ratios are not in a proportional relationship.
Answer:
They are not in a proportional relationship because Monique's number and time isnt a proportion. Instead it is a whole number. Like Braydon's his is 6:2 that is the correct way to write it.
Step-by-step explanation:
The ratio is not proportion.
What is ratio and proportion?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.
Given:
The ratio of Braydon's number of laps he ran to the time he ran is 6:2.
The ratio of Monique's number of laps she ran to the time she ran is 10:4.
The simplest for Braydon is = 6/2 = 3/1
and, the simplest form for Monique = 10/4 = 5/2
As, 3/1 ≠ 5/2
So, the ratio is not proportion.
Learn more about proportion here:
https://brainly.com/question/26974513
#SPJ2
I will give brainliest and give 17 points please help!!
Answer:
1. New England Patriots: (3,-2)
2. Miami Dolphins: (-2,1)
3. Denver Brancos: (4,3)
4. Green Bay Packers: (-1,3)
5. San Franciso 49ers: (-4,-4)
6. Pittsburg Steelers: (2,2)
7. Baltimore Ravens: (3,1)
8. Dallas Cowboys: (4,-3)
9. Oakland Raiders: (-4,2)
10. Washington Redskins: (-3,-1)
If I am adding one positive number and one negative number, will the answer be positive or negative? What does it depend on?
It depends on which number has the greatest absolute value.
Think about it as money
If you owe me $10, this is shown as -10
Now if I give you back 2 dollars (+2), How much money do I still owe you.
The equation is -10+2
I still owe you 8 dollars which is portrayed as -8
Hope this helps :)
elena walked 12 miles. then she walked 0.25 that distance. how far did she walk all together
Answer:12.25
Step-by-step explanation: