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
log10^t > log10^2
2 2
Answer:
t>2
Step-by-step explanation:
Hope this helps.
whats 6 x 6 x 6 x 7 +4 -2 x 7 x 9
Answer:
1,390
Step-by-step explanation:
| 10n + 3 | + 16 = 3
Answer:
n = 1.6
Step-by-step explanation:
(10n + 3) + 16 = 3
10n + 3 = -13
10n = -16
n = 16/10
n = 1.6
please help a friend out with nP5 ÷ nC4 = 144
What expression as a sum of 11/12 
Answer:
D the last expression
-17b + a - 23b +24a = -10
Answer:
a=6/25b+-2/5
Step-by-step explanation:
17b+a−23b+24a=−10
25a−6b+6b=−10+6b
25a=6b−10
25a/25=6b-10/25
a=6/25b+-2/5
what does the absolute value of the y coordinate tell you?
Step-by-step explanation:
in x ,y =0
in y ,x =0
i think its thik ok dont mind if its wrong
Answer:
Step-by-step explanation:
x-axis
plssssss help fast!!!!Launching From a Tower
Suppose a projectile is launched from a tower into the air with an initial velocity of 48 feet per
second. Its height, h, in feet, above the ground is modeled by the function
h = -16t2 + vot + 64
where t is the time, in second, since the projectile was launched and v, is the initial velocity.
A. What tower platform height was the projectile launched from?
B. How long was the projectile in the air?
C. When did it reach its maximum height?
D. What was its maximum height?
E. What domain makes sense for the function in this context?
Answer:
A. h = 64
B. t = 4 -> 4 seconds
C. t = 1.5 -> 1.5 seconds
D. maximum height is 100 ft
E. The domain that makes sense for the function in this context is t
is any positive real number since time can not be negative.
Step-by-step explanation:
h = -16t2 + vt + 64
A. What tower platform height was the projectile launched from?
when the projectile was not launched, t = 0
h = -16(0)^2 + v(0) + 64 = 64
B. How long was the projectile in the air?
if the projectile lands, its height = 0 so substitute 0 for h
0 = -16(t)^2 + 48(t) + 64
= -16(t^2 - 3t - 4)
= -16(t - 4)(t + 1)
t = 4 or t = -1
Since time can not be negative, t = -1 can not be the answer. Therefore, the projectile lands when t = 4 or 4 seconds.
C. When did it reach its maximum height?
maximum -> t=-b/2a where in -16(t)^2 + 48(t) + 64, b = 48 and a = -16
t = -48/-32 = 1.5
D. What was its maximum height?
plug t = 1.5 into -16(t)^2 + 48(t) + 64
-16(1.5)^2 + 48(1.5) + 64 = -36 + 72 + 64 = 100
E. The domain that makes sense for the function in this context is t
is any positive real number since time can not be negative.
The maximum height is 100 feet at a time of about 1.5 seconds.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given that:
h = -16t² + vt + 64
-16t² + 48t + 64 = h
h is the height, v is the initial velocity and t is the time.
a) The tower height is about 64 feet from the equation
b) The time is at h = 0, hence:
-16t² + 48t + 64 = 0
t = 4 seconds
c) Maximum height is at h' = 0
h' = -32t + 48
-32t + 48 = 0
t = 1.5 seconds
d) h(1.5) = -16(1.5)² + 48(1.5) + 64 = 100 feet
Find out more on equation at: https://brainly.com/question/1214333
Which value of m makes this equation true? m - 8 = -1
m = 9
m=7
m= -9
m = -7
Answer:
The answer is 7 because if we write 7 - 8 = -1, then we could see that the answer would be -1 since 7 is 1 value lower than 8, and 8 - 8 = 0, so if 7 is lower than 8 by 1, then you would go one value lower from 0, which is -1. You can also figure this out by looking at a number line and starting from 7 and then going backwards 8 times and whatever number you land on after going back 8 times is your answer.
1.Give an example of an irrational square root.
2.Which whole numbers does it fall between? Explain how you found the integers.
3.Which integer is the irrational square root closer to? Explain why.
90 POINTS!!
1) [tex]\sqrt{65}[/tex]
2) 8 and 9 because [tex]8=\sqrt{64}[/tex] and [tex]9=\sqrt{81}[/tex], and 65 is between 64 and 81
3) 8 because 65 is much closer to 64 than it is to 81
I will give brainliest, Please help on this... Show ur work please and thank you
Answer:
n=9
Step-by-step explanation:
-5-4n=-41
+5 +5
---------------
-4n=-36
---------------
-4n/4=-36/-4
---------------
n=9
What is the value of m?
A. 67
B. 73
C. 90
D. 140
What is the value of n?
A. 107
B. 113
C. 115
D. 140
Answer:
m= 90
Step-by-step explanation:
I don't know about n because i forgot what the total degree of hexagon will be
If g(x)=x+7 translated down 3 units
Answer:
g(x)=(x+7)-3
Step-by-step explanation:
I am not so sure of what you meant for your question but I put it into an equation. it goes left 7 and 3 down.
the expression -5x^2 + 25x + 70 can be used to estimate the height,
Answer:
555suyaiata7ata7yayata
Barack Obama is 6° 1" tall, Michelle Obama is 5' 11" tall.
Who is taller with respect to their own gender? (Men have a
mean height of 70.4" with SD 3.0" and women have a mean
height of 65.1" with SD 2.6".) Is either one unusually tall?
Answer:
Michelle is taller for her gender
Step-by-step explanation:
If Н+ В х 100 = 1560, find the value of H and B
answer
is b bye i think
f(x) = 3x - 3
g(x) = 3x3
Find f(x) + g(x)
Step-by-step explanation:
f(X)+g(X)
or, 3x-3+3x^3
or,3x^3+3x-3
This is a really hard question
Answer:
D. 4x - 6Step-by-step explanation:
f(x) = 4x - 2f(x - 1) = 4(x - 1) - 2 = 4x - 4 - 2 = 4x - 6Correct option is D
Answer:
The answer is in the photo hope it helps
Step-by-step explanation:
solve for x and justify your answer
a remote control car races straight down the street at 26 miles per hour. Two hours later, a second remote control car races straight down the same street at 52 miles per hour in pursuit of the first car. From the moment the first care started, how many hours will it take thje second car to catch up to the first? What type of problem best exemplifies this question?
Answer:
4 hoursStep-by-step explanation:
Given
Speed of the first car = 26 mphSpeed of the second car = 52 mphTime difference = 2 hoursThe first car makes 2*26 = 52 miles before the second car starts racingLet the time the second car races before catching the first car be x
The equation:
26x + 52 = 52x52x - 26x = 5226x = 52x = 2It takes 2 hours for the second car to catch the first car.
It takes 2 + 2 = 4 hours from the moment the first car started the race.
Hey Can somone please help meeee
Answer:
7/6 or 1.16 repeating
Step-by-step explanation:
7/8//3/4
7/8 x 4/3
7 x 4/ 8 x 3
7 / 2 x 3=
7/6 or 1.16 repeating
Which line is the steepest:
A
B
C
D
Part B
Which operation should you perform first in the expression 12 × 4*2?
Answer:
Step-by-step explanation:
If you mean 12×4², the exponent is performed first.
12×4² = 12×16 = 192
If you mean 12×4×2, it is left to right, although in this case the order doesn't matter.
12×4×2 = 96
• A ladder of length 5 m is placed against a vertical
wall with its foot 1.8 m away from the base of the
wall. How far up the wall does the ladder reach?
Answer:
Your answer......4.66m
AC=√AB^2- BC^2
=√(5)^2-(1.8)^2
=4.66
WANT MORE THEN FOLLOW ME, LIKE & MARK MY ANSWER AS BRAINLIST ANSWER
Answer:
Step-by-step explanation:
length = 5 m
height = 1.8 m
The triangle that it formed is given in the figure,
Now first we have to find angle A,
sin(A) =perp/hyp = 1.3/5 = 0.26
now we get ,
Angle A = 15 degree
now using ,
tan(15) = perp/base = 1.3/distance
distance = 1.3/tan(15)
distance =1.3/0.27
distance = 4.8 m
In Salsa stories, Ashir uses sawdust on the floor for his carpet making. For the painting of the one carpet he needs 20 sacks of sawdust. If each sack weighs 3 whole 1/2 pounds ,what is the weight of the sawdust he needs for each carpet?
1) 70 pounds
2) 68 pounds
3) 72 pounds
Answer:
i think its 70 pounds
Step-by-step explanation:
if not i am sorry
Angela S. became a famous architect. She made $90000 in 2004. Then, in 2005 she made 120000.
Answer:
The percentage increase on her income will be determined by subtracting tge the initial profit from the final profit then dividing by the initial and multiplying by 100.
Step-by-step explanation:
If the mean of five values is 64,what is the sum of the values?
Answer:
320
Step-by-step explanation:
64x5=320
solve the equation 8(x+7)=-24
I ready
Help ASAP!!!
Write in the slope-intercept form an equation of the line that passes through the given points.
(6,8),(3,−9)
I need an answer ASAP
I will give the brainiest!
Answer:
y=17/3x-26
Step-by-step explanation:
So what you need to do is find the slope and y-intercept. Then, you write it in y=mx+b form. m=slope, b=y-intercept. So in this case, 17/3 is the slope, and -26 is the y-intercept. Hope this helps :)
if x^2/3 = 4, what is x^2
Answer:
x=2√3
Step-by-step explanation:
Let's solve your equation step-by-step.
x2
3
=4
Step 1: Simplify both sides of the equation.
1
3
x2=4
Step 2: Divide both sides by 1/3.
1
3
x2
1
3
=
4
1
3
x2=12
Step 3: Take square root.
x=±√12
x=2√3 or x=−2√3