Answer:
6593.2
Step-by-step explanation:
6,220*1.06 = 6593.2
Group Work 2.6 Newton's Law of Cooling states that an object cools at a rate proportional to the difference between the temperature of the object and the room temperature. The temperature of the object at a time t is given by a function f(t)= alpha x^ prime prime +a where a = mc * pi temperature c = initial difference in temperature between the object and the room r = constant determined by data in the problem Suppose you make yourself a cup of tea. Initially the water has a temperature of 95 degrees * C ; 5 minutes later the tea has cooled to 65 degrees * C Problem: When will the tea reach a drinkable temperature of 40°C? Hint: Assume that the room temperature a = 22 degrees * C . First solve for r and then find tapplying the natural logarithm.
Answer:
ΔT = ΔT0 e^-K T
As I understand Newton's Law of Cooling
ΔT at any time is the difference between the temperature and the surroundings
Originally ΔT0 = 95 - 22 difference between 95 and room temperature
65 - 22 = 33 = 73 e^-KT where t is time to cool to 65 deg
ln (33/73) = -KT K = .794 / 5 = .159 where 5 is time to cool to 65 deg
40 - 22 = 73 e^-.159 T where t is time to cool to 40 deg
18 = 73 e^-.159 T
ln (18 / 73) = -.159 T
T = 8.8 min
It would take 8.8 min for the object to cool to 40 deg C
Suppose the object cooled from 95 to 90 deg, then
ln 68 / 73 = -.159 T and T = .45 min
Answer:
13.2 minutes
Step-by-step explanation:
We cannot tell what your equation is supposed to be. Usually, the equation will have the form ...
f(t) = c·e^(kt) +r
where c is the initial temperature difference (95 -22 = 73) and r is the room temperature (22). The value of k can be found from the given intermediate temperature and time.
f(5) = 65 = 73·e^(k·5) +22
43/73 = e^(5k)
Taking the natural log gives ...
5k = ln(43/73)
k = ln(43/73)/5 ≈ -0.105852
__
We want to find t for f(t) = 40. Then ...
f(t) = 40 = 73·e^(-0.105852t) +22
18/73 = e^(-0.105852t)
t = ln(18/73)/-0.105852 ≈ 13.227
The tea will be drinkable after 13.2 minutes.
__
In the attached, we have used exponential regression to find the equation of the temperature curve.
65,754.59 round it to the nearest tenth
Answer:
65,754.6
Step-by-step explanation:
When rounding, the last digit is number you need to observe. If the digit is less than 5 (4,3,2,1), then round down. If it is 5 or greater, then round up.
549.5 to 1 decimal place
Answer:
It is still 549.5
Step-by-step explanation:
Rounding to 1 decimal place is just rounding by the tenth place
So it is still 549.5
Hope this helps!
Select the expressions that are equivalent to 12n - 8. Select all that apply.
A. 3n + 4 + 3n + 4 + 4n
B. 11n + 4 + n -12
C. 6(6n - 2)
D. 4(3n – 2)
E. 4n + 22 - 12 + 8n
A.3n+4+3n+4+4n
=3n+3n+4n+4+4
=10n+8
B.11n+4+n-12
=11n+n+4-12
=12n-8
C.6(6n-2)
=36n-12
D.4(3n-2)
=12n-8
E.4n+22-12+8n
=4n+8n+22-12
=12n+10
so,B and D are the expressions that are equivalent to 12n-8.
Answer based on the information.
1)find the length of DC
2)find the magnitude of ABE
3)find the magnitude of ADC
4)find the magnitude of BCD
Answer:
01)05
02)45°
03)120°
04)60°
Step-by-step explanation:
Have a great day!
Can you please help me
Answer: Attached.
Step-by-step explanation:
Either solve the equations directly, or graph them and look for the point of intersection.
Write a system of linear inequalities represented by the graph.
Inequality 1:
Inequality 2:
The system of linear inequalities represented by the graph is 2 < x < 3.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
The dotted lines represents strictly less than or greater than inequalities.
Inequality 1 represents x > 2 and inequality 2 represents x < 3.
The combined inequality can be represented as 2 < x < 3.
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-88-3x=-35x-29(x-18)
Answer:
-88-3x=-35x-29(x-18)
-88-3x=-35x-29x-522
-88-3x=-6x-522
-88=-3x-522
424=-3x
x=10
Hope This Helps!!!
Some information about a direct variation is given in the table below. If the equation
of this direct variation is y = kx , find the coefficient k and fill in the missing
information.
Answer:
Step-by-step explanation:
y = kx ;
k = [tex]\frac{y}{x}[/tex] ; x = [tex]\frac{y}{k}[/tex]
~~~~~~~~~~~~~
k = [tex]\frac{1}{2}[/tex] ÷ 1 = [tex]\frac{1}{2}[/tex]
[tex]y_{1}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 8 ) = - 4
[tex]y_{2}[/tex] = [tex]\frac{1}{2}[/tex] × ( - 4 ) = - 2
[tex]y_{3}[/tex] = [tex]\frac{1}{2}[/tex] × 2 = 1
[tex]x_{5}[/tex] = [tex]\frac{1}{3}[/tex] ÷ [tex]\frac{1}{2}[/tex] = [tex]\frac{2}{3}[/tex]
[tex]x_{6}[/tex] = - [tex]\frac{1}{4}[/tex] ÷ [tex]\frac{1}{2}[/tex] = - [tex]\frac{1}{2}[/tex]
[tex]x_{7}[/tex] = 0
( x , y ) : ( - 8 , - 4 ), ( - 4 , - 2 ), ( 2 , 1 ), ( 1 , [tex]\frac{1}{2}[/tex] ), ( [tex]\frac{2}{3}[/tex] , [tex]\frac{1}{3}[/tex] ), ( - [tex]\frac{1}{2}[/tex] , - [tex]\frac{1}{4}[/tex] ), ( 0 , 0 )
-185 = -5 - 9b
How to find the answer to this problem above?
Answer:
b=20
Step-by-step explanation:
-185-5=9b
-180=9b
=>b= -20
I NEED ANSWER NOW ASAP PLEASE ITS DUE IN 2 MINS!!!!!
Answer: 2 pairs of parallel sides!
Step-by-step explanation:
Jameson Middle School gives bottles of water to teachers and students who are going on a field trip. The school orders 500 bottles of water. They plan to give 35 bottles of water to teachers. They ordered at least 2 bottles of water for each student. How many students could be going on the field trip? Show your work.
Answer:
up to 232
Step-by-step explanation:
Let x = number of students
The number of bottles for the students is 2x since they give 2 bottles per student.
2x + 35 = 500
2x = 465
x = 232.5
Answer: 232
Isaiah is ordering a sub sandwich for lunch. He can have turkey, ham, chicken, roast beef, or tuna. His bun choices are wheat, honey oat, and white. How many different sub combinations can Isaiah order?
Answer:
45 different sandwiches
Step-by-step explanation:
PLEASE HELP ME!!
The pie chart below showshow we annual budget for the passasted Manufacturers Company is divided by department. Use this chant to answer the
(a) Which department accounts for approximately one-third of
the annual budget
Support
Sales
Research
Engineering
Support
Media
Marketing
(b) Appraimately what percentage of the and botinet is
used for Sales and Research combined
Write your answer as a multiple of 10%- that is, 10%, 20%, 30%,
(C) 16% of the annual budget is used for Mariesting,
approximately what percentage is used for Support
2%
09%
18%
300%
Answer:
a) Research
b) 50%
c) 18% (as marked)
Step-by-step explanation:
a)About 1/3 of the chart is covered by the segment marked Research.
__
b)Sales and Research together cover almost half the chart, about 50%.
__
c)The size of the Support sector is about 3 times the size of the Marketing sector. This lets us estimate Support at about 18% of the budget.
A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of
15 3/4 each day. Represent the total change in the number of bushels he has for sale after 5 days.
Answer:
15 3/4 = (15*4 + 3)/4 = 63/4
5*(63/4) = 78.74 OR 78 3/4
The change in the total number of bushels is 78 3/4 bushels.
nicole is making carrot bread. she needs 5 cups of carrots for every 2 cups of sugar. what is the ratio of cups of sugar to cups of carrots that nicole will need?
Answer:
2:5 ratio.
for every 2 cups sugar, she needs 5 cups carrots
hope this helps
Please help question in pic
WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!
ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!
Answer:
(1.5,-1)
Step-by-step explanation:
Answer:
(1.5), (-1)
Step-by-step explanation:
#1: Evaluate the expression for the given value of the variable. *
x + 7; X = 12
Answer:
19
Step-by-step explanation:
Based on what I understood from your question,
Value of x has been given = 12
So if we substitute or place that value in the given equation x + 7
=> 12 + 7 = 19
Hope I got it right.
What is 35 + 34 ? I cant use calcu pls help me
Answer:
the answer is 69
Step-by-step explanation:
for your answer you need to understand fast that when you add 34 and 35 what will be the answer you need to think that your answer will be cirrect or not and its very easy question
Acafeteria has two sizes of pizza to serve students during lunch.
The smaller pizza has a 4-inch diameter. What is the area of the smaller pizza?
What did a the area of the smaller pizza
Answer:
pointsss
Step-by-step explanation:
Answer: 12.56 inches^2 or 4π inches^2 (depending on what format your answer needs to be in)
Step-by-step explanation:
The formula for the area of a circle is [tex]\pi r^{2}[/tex].
To find the radius (r), divide the diameter of 4 inches by 2. The radius is 2 inches.
Plug this into your equation to get [tex]\pi (2^{2} )[/tex], which can be simplified to 4π inches^2.
If you need your answer as a decimal, input 3.14 for [tex]\pi[/tex] to get an equation of 4 * 3.14. Multiply to get a final answer of 12.56 inches^2.
Find the length of OP.
Answer:
OP = 84
Step-by-step explanation:
The triangle is equilateral meaning all angles equal and all sides are equal.
5y - 6 = 4y + 12
y - 6 = 12
y = 12 + 6
y = 18
Now
OP = 4y + 12
OP = 4(18) +12
OP = 84
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST THANKS
Answer:
the third answer, y= (1/3) x
Answer:y=(1/3)x
Step-by-step explanation:
Joseph earns a salary of $40 per day working at a pizza
restaurant. He earns an additional $3 for every delivery he makes.
Which function represents the amount of money, y, Joseph will earn in one day if he makes x deliveries?
A y = 3x + 40
B y = 3x - 40
C y = 40x + 3
Answer:
C
Step-by-step explanation:
40x + 3
Answer:
A y = 3x + 40
Step-by-step explanation:
He is paid $40 every day to you would add that number to the equation, then every time he makes a delivery, he makes an additional $3.
So, to find the amount of money he would make in one day your equation should look something like this
y = 3x + 40
y being that amount of money he makes in one day
3 being that amount of money he receives for every delivery
x being the number of deliveries he makes in one day
40 being that amount of money he makes in one day.
_________________________________________________________
Hope this helps!!
Please tell me if I have made a mistake; I enjoy learning from them:)
Please help I’ll mark brainliest
Answer:
y= 2, x= -1 (-1, 2)
Step-by-step explanation:
y= x + 3
y= -x+1
substitute y= -x+1
-x + 1 = x + 3
isolate x
-x + 1 = x + 3
x + 1 - x = x + 3 - x
After isolating x you'll get x = -1
for y= - x + 1
y= - (-1) + 1
simplify y = 2
solution:
y= 2, x= -1 (-1, 2)
Directions: Write the expression for each sentence below.
1. the sum of 6 and t = 6 + t
2. the product of y and 11
3. the difference of 4 from 12
4. the quotient of 6 divided by t
5. 19 less than 25
6. increase s by 2s
7. decrease 11 by r
8. add 6 times x and 2 times s
9. the quotient of 17 minus 12 and 2
10. the product of 3 and x less 10
11. the product of 7 and 2 divided by 2
12. decrease the product of 7 and 6 by a number
Answer:
y-4??
Step-by-step explanation:
I NEED HELP PLEASE!!!!
Perform integer operations
1 2/3(1 + 1/4) ÷ 1/4
Answer:
8.33 is keeps repeating
Step-by-step explanation:
what is the answer of the proportion 8/3 = y/13 round your answer to the nearest tenth
1. Which figure comes next in the pattern below?
The figure that comes next in the pattern below is option D.
Option D is the correct answer.
We have,
From the pattern,
The next figure must be a white figure.
Now,
We see that,
The two small figure inside the figure is moving in a clockwise direction.
So,
The next figure in the pattern is option D.
Thus,
The figure that comes next in the pattern below is option D.
Learn more about the pattern here:
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What is the value of x in the figure?
Enter your answer in the box.
X=
Look
Answer:
68
Step-by-step explanation:
both angles added should equal to 90
x = 90-22
x = 68
CHECK
68+ 22
90
.˙. x is equal to 68