Answer:
After 2 minutes the temperature of the hot chocolate will be 149.46 degrees Fahrenheit.
Step-by-step explanation:
We are going to use the Newton's law of cooling to solve this exercise. The Newton's law of cooling states that the amount of heat lost by a body is proportional to the difference of temperature between the body and the enviroment. We are going to use the following function :
T(t)=T_{0}+(T_{i}-T_{0}).e^{-kt}T(t)=T
0
+(T
i
−T
0
).e
−kt
Where ''T(t)'' is the temperature of the body that depends of the variable ''t'' which is time.
Where T_{0}T
0
is the temperature of the surroundings
In this case T_{0}T
0
is the temperature of the freezer
Where T_{i}T
i
is the initial temperature of the body which is cooling. In this case, T_{i}T
i
is the temperature of the hot chocolate
And where ''k'' is a constant. In this case, k=0.12k=0.12 is a data of the exercise
If we replace all the values in the equation and replacing t=2minutest=2minutes
⇒
T(2minutes)=0+(190-0).e^{-(0.12).(2)}T(2minutes)=0+(190−0).e
−(0.12).(2)
T(2minutes)=(190).(e^{-0.24})=149.46T(2minutes)=(190).(e
−0.24
)=149.46
We find that the temperature of the hot chocolate after 2 minutes is 149.46 degrees Fahrenheit
15. a
16.c
17. e
18.9
19. h
Answer:
19 h
Step-by-step explanation:
The angles of A and B are 45 degrees. This is true because the other angle is a right angle (90 degrees) and if you are making a triangle the degrees of the sides have to = 180 to be a complete triangle. The triangle is complete, so I took 180 – 90 = 90 ÷ 2 = 45.
The angle of C is 115 because it is a supplementary angle. A supplementary angle is an angle that has two angles with a sum of 180 degrees and 180 – 65 = 115
Choose the best description for the relationship between the two sets of data in the scatter plot
Answer: send a pic
Step-by-step explanation: go take a pic and come back
What is the partial fraction decomposition of
7x squared- 6x +9/
3x(4x squared +9)
9514 1404 393
Answer:
1/(3x) =(x -2)/(4x^2 +9)
Step-by-step explanation:
The denominator cannot be factored further, so the final form will be ...
A/(3x) + (Bx +C)/(4x^2 +9)
The value of this is ...
(A(4x^2 +9) +(3x)(Bx +C))/(3x(4x^2 +9))
= ((3B+4A)x^2 +3Cx +9A)/(3x(4x^2 +9))
Equating coefficients gives ...
3B+4A = 7
3C = -6 ⇒ C = -2
9A = 9 ⇒ A = 1
Using the found value of A, we find ...
3B +4 = 7 ⇒ B = 1
Then the decomposition is ...
[tex]\dfrac{7x^2-6x+9}{3x(4x^2+9)}=\boxed{\dfrac{1}{3x}+\dfrac{x-2}{4x^2+9}}[/tex]
Answer:
a
Step-by-step explanation:
took test
3. The temperature of a swimming pool
is 75°F. When the pool heater is
turned on, the temperature rises
2°F every hour. What will the
temperature be after 3 hours?
Make a function table to
answer the question.
Answer:
81 F
Step-by-step explanation:
Hours | Temp.
0 | 75F
1 | 77F
2 | 79F
3 | 81F
pls help
What are the factors of 2x^2 - 5x - 3?
Answer:
(−3)(2+1)
hope this helps, im not for sure of its fully correct.
Someone plz help me giving brainliest
Answer:
B - Find the cost to the frame
Step-by-step explanation:
This is one of the critical first steps to find the answer.
Given this figure on a coordinate plane, determine which of the following statements
could prove ABCD is a parallelogram.
I need help plzzz
HELP ASAP!
Use the quadratic equation y = –2x^2 + 4x +5 to complete the statements.
Answer:
Step-by-step explanation:
Given quadratic equation is,
y = -2x² + 4x + 5
y = -2(x² - 2x) + 5
y = -2(x² - 2x + 1 - 1) + 5
y = -2(x² - 2x + 1) + 2 + 5
y = -2(x - 1)² + 7
This equation is in the vertex form of the quadratic equation,
y = a(x - h)² + k
where, (h, k) is the vertex of the parabola.
Therefore, vertex of the given quadratic equation is (1, 7)
The equation can be rewritten as y = -2(x - 1)² + 7.
Therefore, the vertex of the graph of the function y = -2x² + 4x + 5 in the xy-coordinate plane is located at the point (1, 7).
If the cost of making 20 copies is $1.30, how much will 1 copy cost?
Answer:
6,5
Step-by-step explanation:
1 dollar 30 cent = 130 cent
20 copies=130
1 copy=130/20=6,5
The cost of the copy per unit will be $0.065 for each copy.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
If the cost of making 20 copies is $1.30.
Then the cost of each copy is given by the division of $1.30 and 20. Then we rate is given as,
Rate = $1.30 / 20
Rate = $0.065 for each copy
The cost of the copy per unit will be $0.065 for each copy.
More about the rate link is given below.
https://brainly.com/question/14731228
#SPJ2
Solve the whole problem i give brainliest please help me.
Answer:
165 is greater than or equal to 17.75x+5.25; 9 is greater than or equal to x
Step-by-step explanation:
The problem states that they have no more than $165. This means that they either use all the money, or they have leftover money, which means you need to use the 'greater than or equal to' sign. It says that tickets are $17.75 a person, and we're trying to find the number of people (x). You can write this as 17.75x. There is also a parking fee to add on to the equation, which is represented as +5.25. Now, we can solve!
I'm going to use an equal sign to replace the inequality symbol, but make sure to add the symbol at the end of the problem.
165=17.75x+5.25
159.75=17.75x
9=x
Our final answer is 9 is greater than or equal to x. Hope this helps!
Answer:
The inequality is $17.75x + $5.25 ≤ $165
and the amount of people who can go is 9
Step-by-step explanation:
if you subtract 5.25 from both sides, you'll get
17.75x ≤ 159.75
and when you divide both by 17.75, you'll get 9
Can you help me pls lol I’m doing a test
Answer:
Dont say your doing a test, brainly is strict and will delete your question because its timed
Step-by-step explanation:
If y = 4x, what is y if the x = 5?
Answer:
its should be 20
Step-by-step explanation:
Answer:
Given that, x = 5
[tex]y = 4x \\ y = 4 \times 5 \\ \boxed{y = 20}[/tex]
y = 20 is the right answer.Please help!
Find the zeros for y=2x(x+6)(x+-14)
Answer:
-6;14
Step-by-step explanation:
x+6=0
x-14=0
x+y= 275
75 + 50 = 200
it’s system of equations
Answer:
Its either x=273 or the given system has no solution.
Step-by-step explanation:
Solution by substitution method
x+y=275
and 75+50=200
∴0=75
a1/a2=10=Undefined
b1/b2=10=Undefined
c1/c2=-275/-75=3.6667
∴a1/a2 =b1/b2≠c1/c2
the given system has no solution.
A sports store owner uses the expression 5.855 +5.05f to calculate her profit when she sells s soccer balls and f footballs.
What is the sports store owner's profit, in dollars, when she sells 34 soccer balls and 27 footballs?
Answer:
I'm pretty sure it's 10.905
Can some plz help me?
Answer:
demos is the website
Step-by-step explanation:
listen i dont know what grade your in in school middle or high but there is this very beneficial website im gonna give you it is graphing we use it in my high school math class so basically you put i the coordinates and doing so its gonna graph it for you. all you have to do is type the equation on the side once done and graphed you click the dots zoom in and out also once you click the dot you answer should be with the number.
if a triangle has three degrees that measure 75, 75 and 30, what type of triangle is it equilateral, scalene, isosceles
Answer:
it is Isoscales triangle
Step-by-step explanation:
it is Isoscales triangle because Isoscales triangle is the triangle having atheist two sides or angle equal and in that question there is two 75
[tex] \huge\sf \pink{A} \sf \red{n} \sf \orange{s} \sf \blue{w} \sf \green{e} \sf \purple{r}[/tex]
It is an isosceles triangle.
[tex] \huge\sf \pink{R} \sf \red{e} \sf \orange{a} \sf \blue{s} \sf \green{o} \sf \purple{n}[/tex]
Because it's 2 of sides are equal and one is different.
[tex] \huge\sf \pink{V} \sf \red{e} \sf \orange{r} \sf \blue{i} \sf \green{f} \sf \purple{i} \sf \red{c} \sf \pink{a} \sf \blue{t} \sf \green{i} \sf \purple{o} \sf \orange{n}[/tex]
Remember,A triangle with two sides equal is known as isosceles triangle.
Also,This triangle have two sides with equal length.
What is the value of -3 2/3 +1/3
Exact Form:
−10/3
Decimal Form:
−3.3...
Mixed Number Form:
−3 1/3
Answer:
-10/3
Step-by-step explanation:
Consider the y-intercepts of the functions. g(x) = (x – 2)2 The y-coordinate of the greatest y-intercept is
Answer:
0 there is no y only x
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
1/5 (10x - 5)
whoever answers first and at least looks correct gets brainliest!!!
Answer:
2x - 1
Step-by-step explanation:
Simplify. Note that you cannot combine a term with a variable with a constant term. Divide 5 from both terms in the parenthesis:
1/5(10x - 5) = (10x - 5)/5
Divide 5 from both terms in the parenthesis:
10x/5 = 2x
-5/5 = -1
2x - 1 is your answer.
~
Answer:
1/5 (10x - 5)
[tex]taking common \: 5 \: from (10x - 5) \\ 1 \div 5 \times 5(2x - 1)[/tex]
2x-1 is your answer
The highest temperature recorded in the town of
Westgate this summer was 91°F. Last winter, the
lowest temperature recorded was -14°F. Find the
difference between these extremes.
) Which expression is equivalent to 12 + 10d -(-4)-(-8d)?
16 + 18d
8 +18d
16 + 2d
8 + 2d
Answer:
The answer is 16+18d
Mr. Eriksson can have 75 days of vacation each year. He wants to divide those days into 4 vacations. How long should he make his vacations? Make them as close to the same length as possible.
Finding side lengths with trigonometry
Answer:
42.1
Step-by-step explanation:
tan 39 = 52 / x
x = 52 tan39
x = 42.1
HELP PLEASE?? not sure about it!!
Can someone plz help me with this one problem plz I’m being timed!!!
Answer:
When x is 0, y is 0.
When x is 1, y is 4.
Step-by-step explanation:
Simply multiply 4 times the x value given in the table and you will get y.
How do you prove that infinite sequences converge? For example how did someone prove that 1 + 1/4 + 1/9 + 1/16 + 1/25 ..... converges to π^2/6. Can someone explain how people do this, and the process to discovering whether or not infinite sequences diverge or converge? An answer fully explaining the process, that is also fairly clear will receive a brainiliest.
Answer:Prove that for any nonzero natural
n
it is true that
Sn=1+1/4+1/9+1/16+1/25+1/2<2
I'm sort of at a loss here. I'm not sure if there exists some formula or method to sum this kind of series, since there is a variable ratio…
plz solve 20 points plz solve plz solve
Answer:
55 square meters
Step-by-step explanation:
I used an online calculator and that's what i got
skróć ułamki zwykłe do najprostszej postaci
2/10=
15/100=
32/100=
6/100=
45/100=
Answer:
1/5 decimal: 0.2
3/20 decimal: 0.15
8/25 decimal:0.32
3/50 decimal:0.06
9/20 decimal: 0.45
Answer:
0.2
0.15
0.32
0.06
0.45
Step-by-step explanation:
Turn the fractions into decimals by changing the place value
(-9x^2-2x)-(-9x^2-3x)
Answer:
It just simplifies to x
Step-by-step explanation: