Answer:
10
Step-by-step explanation:
A calculator is required to obtain the final answer on this question. A solid metal sphere at room temperature 20oC is dropped into a container of boiling water (100oC). If the temperature of the sphere increases 10o in 9 seconds, find the temperature of the ball after 18 seconds in the boiling water. (Assume the sphere obeys Newton's Law of Cooling.)
Answer:
38.71°C
Step-by-step explanation:
Given :
Initial temp, T0 = 20°C
Final temperature, T = 20 + 10 = 30°C
Time, t = 9 seconds
Surrounding temperature, Ts = 100°C
Newton's Law of cooling :
T = Ts + (T0 - Ts) * e^-kt
Obtain the value of k
30 = 100 + (20 - 100) * e^-9k
30 - 100 = - 80e^-9k
-70 = - 80e^-9k
-70 / - 80 = e^-9k
0.875 = e^-9k
Take the In of both sides
In(0.875) = - 9k
−0.133531 = - 9k
k = 0.133531 / 9
k = 0.0148
Hence,
t = 18
T = Ts + (T0 - Ts) * e^-kt
T = 100 + (20 - 100) * e^-0.0148(18)
T = 100 - 80 * e^-0.0148(18)
T = 100 - 80 * 0.7661326
T = 38.709392
T = 38.71°C
Ram obtains 40% of the marks in a paper of 200 marks. Shyam is ahead of Ram by 25% of Ram' s marks, while Bhuvan is ahead of Shyam by one month of his own marks. How many marks does Bhuvan get?
Answer:
First, we start with:
"Ram obtains 40% of the marks in a paper of 200 marks"
In this case, 200 marks represent the 100%
Then how much is the 40%?
we have the relations:
40% = X
100% = 200 marks
Now we can take the quotient of both equations:
(40%/100%) = X/200marks
(40%/100%)*200marks = X = 80 marks
So Ram obtained 80 marks.
Now we have:
"Shyam is ahead of Ram by 25% of Ram's marks"
Now the 100% is the number of marks that Ram has, this is:
100% = 80 marks
And Shyam has 25% more than that, then we have:
125% = X
Same as before, we take the quotient of both equations:
(125%/100%) = X/80 marks
1.25*80 marks = 100 marks.
Shyam has 100 marks.
The last part is (this is not written correctly, it says "one month", it should be "one-ninth")
"while Bhuvan is ahead of Shyam by one-ninth of his own marks."
if his own marks are X, we have the equation
X = 100 + (1/9)*X
X - 1/9*X = 100
X*(8/9) = 100
X = (9/8)*100 = 112.5
So Bhuvan has 112.5 marks
Solve the equation by factoring. Tasha is planning an expansion of a square flower garden in a city park. If each side of the original garden is increased by 7 m, the new total area of the garden will be 144 m^2m 2. Find the length of each side of the original garden.
Answer:
Step-by-step explanation:
Area of enlarged garden will be 144 sq meters. Each side will be √144 = 12 meters.
Side of original garden = 12-7 = 5 meters l.
In 2001, a school population was 1069. By 2007 the population had grown to 2053.
1) How much did the population grow between the year 2001 and 2007?
___ students
4) What was the population in the year 2000?
students
5) Find an equation for the population, P, of the school t years after 2000.
P =
6) Using your equation, predict the population of the school in 2015.
_____ students
Answer:
984
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
(3,12)
Step-by-step explanation:
y = 3x + 3
y = 6x -6
x = 3
y = 12
= (3,12)
Answer:
All you have to do, is find an x that if used in both equations, both equal the same y.
3 x 3 + 3 = 12
6 x 3 - 6 = 12
So, the only thing here is (3, 12)
Step-by-step explanation:
Please help meeeeeeeeeeeeeee
please help me out i cannot fail this
Answer:
183.41
Step-by-step explanation:
pay 251.57
16% 40.25
3.64 9.16
6.2 15.60
1.45 3.65
I hope this is right
How many solutions does y=1/2x have
Thereeeeeeeeeeeeeeeeeeeeeeee
Answer:
1. 0.5%
2. 3%
3. 20%
4. 250%
5. 500%
hope this helps have a blessed day :)
How do you find the difference between an isosceles triangle and a normal triangle?
Answer:
In an equilateral triangle, all the sides and angles are of equal length. In an isosceles triangle, 2 of the sides are equal
Step-by-step explanation:
What is (1 2/3) dived by (1/8)
Answer: 13 1/3
Step-by-step explanation:
The statistics for a final exam for Mr. Villa's Spanish class are shown. Which grade would be an outlier for this test?
Mean
Q1
Median
Q3
Minimum
Maximum
81
75
83
85
53
99
O 52
0 60
098
O 100
WILL MARK BRAINLIEST ONLY HAVE 10 MINUTES AND DOUBLE POINTS
Hey there!
They are both correct, and their expressions are equivalent.'
9(S + T) + 45 = 9S + 9T + 45
Have a terrificly amazing day!
What is 1/4 squared?
Answer:1/16
Step-by-step explanation:
i need step by step answers pleasseeee
Systems of Equations
4x-3y=-20
-x-8y=5
Answer:
(-5, 0)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
4x - 3y = -20
-x - 8y = 5
Step 2: Rewrite Systems
-x - 8y = 5
[Addition Property of Equality] Add 8y on both sides: -x = 8y + 5[Division Property of Equality] Divide -1 on both sides: x = -8y - 5Step 3: Redefine Systems
4x - 3y = -20
x = -8y - 5
Step 4: Solve for y
Substitution
Substitute in x: 4(-8y - 5) - 3y = -20[Distributive Property] Distribute 4: -32y - 20 - 3y = -20Combine like terms: -35y - 20 = -20[Addition Property of Equality] Add 20 on both sides: -35y = 0[Division Property of Equality] Divide -35 on both sides: y = 0Step 5: Solve for x
Define original equation: -x - 8y = 5Substitute in y: -x - 8(0) = 5Multiply: -x = 5[Division Property of Equality] Divide -1 on both sides: x = -5Answer:
x = -5
y = 0
Step-by-step explanation:
4x-3y=-20
-x-8y=5 then x = 8y-5
substitute for x
4(8y-5)-3y = -20
32y-20-3y = -20
29y = 0
y = 0
4x-0 = -20
x = -5
If 2a:3b=5:6 and 3b:2c=36:15,then find a:c
Answer:
a:c=2.5:1.25
Step-by-step explanation:
2a:3b=5:6
2(2.5):3(2)=5:6
3(2):2(1.25)=6:2.5=36:15
Select the correct answer. Which equation is a step in solving the equation |5 − 3x| + 2 = 19?
Answer:
Step-by-step explanation:
6) Pardeep has a rectangular sheet of paper of size 44cm x 20cm. He rolled it
along its breadth and a cylinder is formed. Find volume of the cylinder.
Answer:
[tex]V=1398.4\ cm^3[/tex]
Step-by-step explanation:
Given that,
Pardeep has a rectangular sheet of paper of size 44cm x 20cm. He rolled it along its breadth and a cylinder is formed.
When he rolled it along its breadth, 20 is equal to circumference i.e.
20 = 2πr
r is radius of base of cylinder
r = 3.18 cm
44 cm will be height of the cylinder.
The volume of the cylinder is given by :
[tex]V=\pi r^2 h\\\\V=\dfrac{22}{7}\times (3.18)^2 \times 44\\\\V=1398.4\ cm^3[/tex]
So, the volume of the cylinder is [tex]1398.4\ cm^3[/tex].
find the value of x
Answer:
x = 20
Step-by-step explanation:
Each side would be 60. 60/3 would be 20. So x = 20
Answer:
x = 20
Step-by-step explanation:
Looking at the image you've posted here. We can see this triangle is equilateral. That also means 3x is 60°, as are the other two angles. All you really have to do is dividing both sides of the equation by 3 to get x to equal 20.
A quality assurance check is 97% accurate for non-defective devices and 88% accurate for defective devices. Of the devices checked, 92% of devices are not defective. What is the probability of an incorrect conclusion? Round your answer to the nearest tenth of a percent.
Answer:
so 3 percent of 92 percent which is 2.76 percent
32:3
What is 32 divided by 3
Answer:
11 1\3
Step-by-step explanation:
32÷3=11.33333333333333333333
PLEASE HELP WILL GIVE BRAINLEST
SOLVE THE PROBLEMS WITH SUBSTITION
x=-3y+3
x-3y=-15
Answer:
y=3
Step-by-step explanation:
x=-3y+3
(-3y+3)-3y=-15
-6y=-18
y=3
A house cost $185,500 in 2000. By the year 2015, the value was $132,000. What was the growth
rate as a percent for that 15-year period?
Answer:
their was no growth rate it lost 53,500 in those 15 years at a rate of about 3,566 a year
Step-by-step explanation:
The growth rate is the percentage increase and it is the increase with respect to the original thus growth rate will be 28.84%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
The cost in 2000 is $185500
Cost in 2015 is $132000
Change or increase = (185500 - 132000)
% increase = change/original
% increase = (185500 - 132000)/185500 = 28.84%
Hence "The growth rate is the percentage increase and it is the increase with respect to the original thus growth rate will be 28.84%".
For more about the percentage,
brainly.com/question/13450942
#SPJ2
Factor the expression-28x-14
Answer:
-14(2x+1)
Step-by-step explanation:
Factor out the GCF, which is 14.
Answer:
-14(2x+1)
Step-by-step explanation:
this is a question on my math test and i got it write
help plz plz plz plz i need this
Answer:
n-5
Step-by-step explanation:
when x is divided by 9, the remainder is 7. What is the remainder when x+4 is divided by 9
Answer:
First i always use khan academy
Step-by-step explanation:
whats the domain? someone pleaseee
Question 1
4+ (-3) + (-2) ?
Which of the following diagrams correctly represent
Answer:
4-3-2
-1
Step-by-step explanation:
Please help asap
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
What is the value of x?
Enter your answer in the box.
x =
Answer:
56
Step-by-step explanation:
28x2=56
multiply 56x2=112
Add 112+124=236
Add 236+124=360
help fast please and thanks
Answer:
C-1,800
Step-by-step explanation
.2*1800=360
Mark brainliest,rate,and thanks
Answer:
20% = 5th of the people so 5*360= 1800
Or 20%=.20 360/.20=1800
Step-by-step explanation: