Answer:
A) It will get to a temperature of 125°F at 9:19 PM
B) It will get to a temperature of 150°F at 9:16 PM
C) as time passes temperature approaches the initial temperature of 450°F
Step-by-step explanation:
We are given;
Initial temperature; T_i = 450°F
Room temperature; T_r = 70°F
From Newton's law of cooling, temperature after time (t) is given as;
T(t) = T_r + (T_i - T_r)e^(-kt)
Where k is cooling rate and t is time after the initial temperature.
Now, we are told that After 5 minutes, the temperature is 300°F.
Thus;
300 = 70 + (450 - 70)e^(-5k)
300 - 70 = 380e^(-5k)
230/380 = e^(-5k)
e^(-5k) = 0.6053
-5k = In 0.6053
-5k = -0.502
k = 0.502/5
k = 0.1004 /min
A) Thus, at temperature of 125°F, we can find the time from;
125 = 70 + (450 - 70)e^(-0.1004t)
125 - 70 = 380e^(-0.1004t)
55/380 = e^(-0.1004t)
In (55/380) = -0.1004t
-0.1004t = -1.9328
t = 1.9328/0.1018
t ≈ 19 minutes
Thus, it will get to a temperature of 125°F at 9:19 PM
B) Thus, at temperature of 150°F, we can find the time from;
150 = 70 + (450 - 70)e^(-0.1004t)
150 - 70 = 380e^(-0.1004t)
80/380 = e^(-0.1004t)
In (80/380) = -0.1004t
-0.1004t = -1.5581
t = 1.5581/0.1004
t ≈ 16 minutes.
Thus, it will get to a temperature of 150°F at 9:16 PM
C) As time passes which means as it approaches to infinity, it means that e^(-kt) gets to 1.
Thus,we have;
T(t) = T_r + (T_i - T_r)
T_r will cancel out to give;
T(t) = T_i
Thus, as time passes temperature approaches the initial temperature of 450°F
Given the triangle shown below, find the length of [BC]
Hyp²=ADJ²+OPP²
28²=17²+X²
784=289+x²
x²=784-289
x²=495
x=22
here is your answer 22
PLEASE HELP ME OUTTT
45,678 in unit form
GEOMETRY!!!! Will give brainliest
In ΔKLM, l = 7 inches, k = 9.5 inches and ∠K=54°. Find all possible values of ∠L, to the nearest 10th of a degree.
Answer: 36.6
Step-by-step explanation: did on delta math
Which answers describe the shape below? Check all that apply.
O A. Trapezoid
O B. Parallelogram
O c. Square
D. Quadrilateral
E. Rhombus
F. Rectangle
Answer:
Square, Quadrilateral, Rhombus, Rectangle
Step-by-step explanation:
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:11
Step-by-step explanation:smart
Please help!!!!!! I’ll mark Brainlyist!!!!!
Answer:
its 55
Step-by-step explanation:
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 113.49
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
An encyclopedia is 8 inches long, 11 inches tall and 4 inches wide. What is the volume of a set of encyclopedias that has eight books?
Answer:
8 in*11 in*4 in*8 encyclopedias= 2,816 in3
please help me to understand. Thanks.
Answer:
B. {(x, y): y = x²}
Step-by-step explanation:
A function is a graph where every input (x-value) has one and only one output (y-value). In other words if the value for x=2, there will only be one corresponding point for y. For the function in B, that y-value would be 4. Both A and D, solve for y, means taking the square root which leaves a +/- x-value. C is absolute value of y, which means the positive and negative values for y would have the same point. Only choice B has x-values corresponding to a singular y-value. If you can remember what these graphs look like you can test if they are functions based on the vertical line test.
I need help please help
Answer:
A
Step-by-step explanation:
use the formula A=pi*r^2 to find the answer
Answer:
34.54 ft2
Step-by-step explanation:
You could figure it out by simply it
Look at the picture below and answer the question that is being asked
Answer:
B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
because they are telling you that the 7th graders were randomly chosen out of everyone who rides in a car to school to be fractioned out.
work out 5×6 - 8 ÷2
Answer: 26
Step-by-step explanation:
5×6 - 8 ÷2
= 30 - 8 ÷2
= 30 - 4
= 26
Answer:
26
Step-by-step explanation:
so we start off with 5x6 from PEMDAS so 5x6 = 30
then we have 8 divided by 2 = 4
30-4 = 26
Did I get this first question right?
Answer:
no
Step-by-step explanation:
the correct answer is 56.55 inches
Step-by-step explanation:
nope. radius = 1/2D so it's 9.
2. r= 14.5
3. d= 42
4. d = 26
Tasha needs to eat no more than 1,800 calories per day. Each scoop of ice
cream contains 100 calories. How many scoops of ice cream can Tasha eat
for dessert tonight if she already consumed 1,450 calories today?
Answer:
3.5 or 3 1/2
Step-by-step explanation:
1,800-1,450=350
She has 350 calories left to consume 1,800 in total.
There are 3.5 100 calories in 300.
The awnser will be 3.5 or 3 1/2.
She can have 3 1/2 of ice cream.
Hope this helped and you understood :) :)
Answer:
3.5[3 1/2]
Step-by-step explanation:
100 go's into 1450 3 times to make 1750 witch leaves 50 left and that is half of 100
PLS HELP WILL MARK BRAINLEST
Answer:
uhhhhhhhhh help with what ?
what is the order from least to greatest(38%,3/8,0.4,1/3,41%,0.33)
Please help!! No links
9514 1404 393
Answer:
10.5
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so ...
ZX/ZY = CA/CB
ZX = Zy(CA/CB) = 14(3/4)
ZX = 10.5
TIMED TEST WILL GIVE BRAINLIEST
Answer: 12?
Step-by-step explanation:
Please somebody help me and solve this problem
Answer:
this is the equation for the graph y=(x+3)(x-2)
what is the slope of the line !?!?!
Answer:
Slope is -2
Step-by-step explanation:
help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
This is the correct graph but can it fit on your graph?
Step-by-step explanation:
Answer:
is in the photo
Step-by-step explanation:
hope this helps
ik this is alot but please help me.
Answer:
help u in what please ask the question so we can anwser
I need help what's the answer anyone?
Answer:
B
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
Answer:
y = mx + b
Step-by-step explanation:
As a punishment for something naughty that we did, my little brother and I have to whitewash both sides of a fence. We start at the same time, and we each work at a constant rate.
If we each whitewash one side, I'll finish in $2$ hours and my brother will finish in $3$ hours. But I'm a nice kid, so after I finish my side, I go around to the other side and help my brother finish his side. From the time I start helping him, how many minutes does it take us to finish the job?
Answer:
60 minutes which grade
are you in I did it I think
Step-by-step explanation:
I Finish Work in 2 hrs
Work done in 1 Hr = 1/2
Brother Finish work in 3 Hrs Work done in 1 hr = 1/3
Let Say both Complete Work in T hrs as it has to be painted on both sides
Then T (1/2+1/3) = 2
=> T × 5/6 = 2
=> T = 2 Hr 24 Mins
=> T = 12/5 I will Take 2 Hrs to finish my work & 24 Mins to finish after start Helping
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Answer:
is this statistics? i will change my answer once u explain to me thank you.
Step-by-step explanation:
Answer:
Its infinite
Step-by-step explanation:
1/3 + 1/2 and I am 5 years old
Answer:
5/6
Step-by-step explanation:
xy=80 solve log x- log y=1
Question: Solve for x and y in the equation.
xy=80 and log x - 2 log y =1
Answer:
x = 40, y = 2
Step-by-step explanation:
xy = 80.......................... Equation 1
logx-2logy = 1
logx-logy² = 1
Applying the laws of logarithm,
log(x/y²) = log10
x/y² = 10
x = 10y²......................... Equation 2
Substitute the value of x in therms of y equation 2 into equation 1
10y²(y) = 80
10y³ = 80
y³ = 8
y = [tex]\sqrt[3]{8}[/tex]
y = 2.
Substitute the value of y into equation 1
2x = 80
x = 80/2
x = 40
Therefore,
x = 40, y = 2
Which statements are correct about the average rate of change for the function f(x) = x2 + 9x + 18 ?
Answer:
Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.
A few things can however be said about this function:
1) It describes a parabola that extends upward infinitely. We can see this because it's in the classic format ax² + bx + c, and all terms are positive.
2) We can find the x-intercepts by solving for zero. In this case we can do that by factoring it:
x² + 9x + 18 = 0
x² + 3x + 6x + 18 = 0
x(x + 3) + 6(x + 3) = 0
(x + 6)(x + 3) = 0
So the x intercepts occur at (-6, 0) and (-3, 0)
3) we can find its vertex by taking its derivative and solving for zero:
f'(x) = 2x + 9
0 = 2x + 9
x = -4.5
We can then plug that coordinate into the original function to find the y coordinate:
f(x) = x² + 9x + 18
f(-4.5) = 20.25 - 40.5 + 18
= -2.25
So the vertex is at (-4.5, -2.25)
4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9. The integral is:
x³ / 3 + 9x² / 2 + 18x + C