Answers
Part (i)
I'll use H in place of T to represent the heat of the object. That way there isn't a clash of variables lowercase t vs uppercase T.
The equation we're working with is updated to:
H(t) = 22 + a*2^(bt)
Plugging in t = 0 as the initial time value should lead to the temperature being H = 86 degrees Celsius.
So,
H(t) = 22 + a*2^(bt)
86 = 22 + a*2^(b*0)
86 = 22 + a*2^0
86 = 22 + a*1
86 = 22 + a
a+22 = 86
a = 86-22
a = 64
Answer: 64=====================================================
Part (ii)
We'll use the value of 'a' we found earlier. Plus we'll use the fact that H = 28 when t = 0.5 (since 30 min = 30/60 = 0.5 hr).
H(t) = 22 + a*2^(bt)
28 = 22 + 64*2^(b*0.5)
28-22 = 64*2^(0.5b)
64*2^(0.5b) = 6
2^6*2^(0.5b) = 6
2^(6+0.5b) = 6
log( 2^(6+0.5b) ) = log(6)
(6+0.5b)*log(2) = log(6)
6+0.5b = log(6)/log(2)
6+0.5b = 2.5849625
0.5b = 2.5849625-6
0.5b = -3.4150375
b = -3.4150375/(0.5)
b = -6.830075
Answer: Approximately -6.830075Related Questions
Can someone answer this really quick
Answers
NOT CONGREUNT!! There is no axiom to prove congruent.
What’s the slope of (4,1) and (5,-3)
Answers
Answer:
-4
Step-by-step explanation:
Davonte has a yearly gym membership. His yearly
membership fee is $25 plus he must pay $3 each
time he goes to the gym. Last year, Davonte payed
$250 for his gym access. How many times did he
go to the gym?
Answers
Answer:
sorry I don't know about it
Gabriella swims 2 laps per minute. What is the rate unit?
laps per minute
laps
1
2
Answers
Answer:
2
Step-by-step explanation:
Answer:
Laps per minuet
Example:
You are traveling at a rate of 45 miles per hour (or mph). Determine the unit rate and the rate unit.
Solution:
45 is the numerical part of the rate, or the unit rate.
Miles per hour is the unit part of the rate, or the rate unit.
What is 9 plus 10???
Answers
Answer:
21
Here’s legitimate proof that 9+10=21
(9 + 10) (base x) = 21 (base y)
9(1) + [1(x) + 0(1)] = 2(y) + 1
Simplify and solve for y:
2y = 8 + x
y = 4 + x/2
Since we have number bases, we want x and y to be positive integers. The term x/2 requires that x be a positive even number.
Also since 9 is in base x, we have x ≥ 10, as the digit 9 would not be used for a base 9 or smaller.
Thus we have the pairs of solutions:
x = 10, so y = 9
x = 12, so y = 10
x = 14, so y = 12
…
x, y = 4 + x/2 … Therefore 9+10=21!
HELPPPP MMEEE
PLEASE
Answers
Answer:
x2 and 7x
Step-by-step explanation:
thats correct
x2 + 7x =18
can i please get some help here its math
Answers
12x + 17 = -1 + 14x
18 = 2x
x = 9
+1 +1
14x=12x+18
-12x -12x
2x=18
/2 /2
X= 9
Solve for x. Remove the fractions first. 3/5(x-5)=-2/3
Answers
Answer:
x = 35/9 or 3 8/9
Step-by-step explanation:
removing the fractions implies using the distributive property, which is multiplying each term outside the parentheses by each term inside
in this problem, after distributing 3/5 we get:
3/5x - 3 = -2/3
we want to isolate the 'x' so we undo subtraction first by adding 3 to each side to get:
3/5x = 9/3 - 2/3
3/5 x = 7/3
x = 7/3 × 5/3
x = 35/9
3/5x = 7/3
we can get the 'x' by itself if we multiply each side by the reciprocal of 3/5, which is 5/3 to get:
x = 7/3 × 5/3
x = 35/3
what is the slope of the line that that contains these points ? x 5 6 7 8 y -5 -6 -7 -8
Answers
Answer:
0
Step-by-step explanation:
Jason deposits $1700 in an account that earns 5% interest compounded weekly. How much will Jason have after 8 years?
Answers
Answer:
$2511.674254, rounded to $2512
Step-by-step explanation:
1700x1.05^8
65 people paid $5 to go in a haunted house. They all went in, someone took their time to see the decorations and special effects. After 14 minutes half of them were outside waiting for the rest to finish. How many people are still inside? (HELP ME PLS AND I WILL PUT 5 STARS :)
Answers
Step-by-step explanation:
here's your answer
enjoy
Answer: 32.5
Step-by-step explanation: 65 divided by 2 ( 2 x 3 = 6 bring down the 5 so 2x2 = 4. Your remainder is 1 bit you can’t leave it like that so you add a extra zero put your decimal point so 32. (2x5 = 10 (remainder 0)
BRAIN LIST
BRAIN LIST
Answers
What is the easiest way to solve 5-x=10 whilst showing working out
Answers
Josie used 1/2 of the milk for pancakes this morning. If her brother and sister divided what was left to eat cookies with their movie, what fraction of the milk did each drink?
Answers
Answer:
1/4 cup of milk
Step-by-step explanation:
= 1/2 ÷ 2
= 1/2 × 1/2
= 1/4
Complete the ordered pair so that it is a solution of 2/3x + y - 1 = 0. (-6, ___) 3 4 5
Answers
Answer:
(- 6, 5 )
Step-by-step explanation:
Substitute x = - 6 into the equation and solve for y
[tex]\frac{2}{3}[/tex] (- 6) + y - 1 = 0 , that is
- 4 + y - 1 = 0
y - 5 = 0 ( add 5 to both sides )
y = 5
Then solution is (- 6, 5 )
Shawn planned to run 4.2 miles every day, but yesterday he only had time to run 0.2 of that distance. How far did Shawn run yesterday?
Answers
Answer:
That would be 4.0
Step-by-step explanation:
if you have 4.2 take away 0.2 that would be 4.0
4.2
0.2
-__
4.0
Hope this helped regards
The diagram shows triangle QRS with side SR on ray ST.
Part A. What is the measure of ∠QRS?
Part B. What is the measure of ∠Q?\
PLEASE HELP WITH ALL SERIOUSNESS AND A PROPER EXPLANATION
Enter the correct answers in the boxes.
Answers
The measure of angle QRS is 35 degrees and the measure of angle Q is 116 degrees.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we know in the triangle the sum of the two interior angles is equal to the exterior angle.
Angle RQS + Angle RSQ = Angle TRQ
4y + y = 145
5y = 145
y = 29
The measure of angle QRS = 180 - Angle RQS - Angle RSQ
= 180 - 4(29) - 29
Angle QRS = 35 degree
The measure of angle Q = 4y = 4(29) = 116 degree
Thus, the measure of angle QRS is 35 degrees and the measure of angle Q is 116 degrees.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ1
I need help with this:
Answers
Answer:
if of all parallel lines can't touch
Step-by-step explanation:
Juan is paid a salary of $302 biweekly find Juan’s earnings per year
Answers
Answer:
7852
Step-by-step explanation:
There are 52 weeks in a year
Divide by 2 to determine bi-weekly
52/2 = 26
You will be paid 26 times in a year if you are paid bi-weekly
302 * 26
7852
In a regular deck of cards, there are 52 total cards, 26 red, 26 black, and 13 of each of the four suits (hearts, clubs, spades, and diamonds). What is the probability, if you draw a card randomly, that the card will be a heart?
Answers
Answer:
13/52 (25%)
Step-by-step explanation:
There are 13 hearts in the deck, and 52 cards in the deck. This means that the probability is 13/52.
if c^2 is 12 side a^2 is 8 what is side b in a right triangle
Answers
Solve for x
A 130
B 120
C 23
D 70
Answers
Answer:
B)120º
Step-by-step explanation:
70+50=x
120=x
Sum of two interior angles=exterior angle
[tex]\\ \sf\longmapsto 50+70=x[/tex]
[tex]\\ \sf\longmapsto x=120[/tex]
Option B
x-1/2=x-2/3 solve the proportion
Answers
Answer:
0 = − 1 /6
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
To find the value of x, we first find the fraction that is equivalent to 1/3 that has a denominator of 12.
Multiplying or dividing the numerator and denominator of
a fraction by the same number will give us an equivalent fraction.
So if we multiply both the numerator and denominator of
the first fraction by 4, we can see that 1/3 = 4/12.
So the value of x must be 4.
Kyle, Meg & Dan share some money in
the ratio 3:2:7
What fraction of the money does Meg get?
Answers
Answer: 1/5 of the money
Step-by-step explanation:
The ratio shows that Kyle gets 3 parts of the money, Meg gets 2 parts of the money, and Dan gets 7 parts of the money. Simple addition lets us know there are 10 parts of the money, and because Meg got 2 of them, she has 2/10ths of the money, or 1/5.
Hope it helps :) and let me know if you want me to elaborate.
I WILL GIVE BRAINLIEST. PLEASE ANSWER ILL GIVE A LOT OF POINTS
Answers
To graph a straight line only 2 points are required
although 3 points are better (in case of error with other 2 .)
To find the y-intercept let x = 0 : hence y = - 5 ie (0 , - 5 )
To find the x-intercept let y = 0 : hence -x - 5 = 0 so x = - 5
ie ( - 5 , 0 )
These 2 points will allow the line to be drawn but a 3rd
is preferable. Choose any value for x and evaluate y.
choose x = 2 : then y = - 2 - 5 = - 7 ie (2 , - 7 )
Plot these 3 points: (0 , - 5 ) , (- 5 , 0 ) and (2 , - 7 ) and
draw a straight line through them .
Here is the graph of y = - x - 5
graph{-x-5 [-20, 20, -10, 10]}
Answer:
Y=3x-5
Step-by-step explanation:
How old is Reena now,If 10 years ago she was 25 years old?
Answers
Answer:
35
Step-by-step explanation:
If she was 25, 10 years ago she has aged 10 years since she was 25 making her 35.
The average height of a population is unknown. A random sample from the population yields a sample mean of x¯=66.3 inches. Assume the sampling distribution of the mean has a standard deviation of σx¯=0.8 inches. Use the Empirical Rule to construct a 95% confidence interval for the true population mean height.
Answers
Answer:
(64.7, 67.9)
Step-by-step explanation:
(66.3-2*08, 66.3+2*0.8)
(66.3-1.6, 66.3+1.6)
(64.7, 67.9)
please let me know the answer for brainlest this is important!!
Answers
Answer:
31/ 32
Step-by-step explanation:
Switch the fractions and multiply. This will work in place of division.
31/32 is already in the simplest form, you can't simplify it anymore.
-kiniwih426
What is the slope of line
Answers
Answer:
4
Step-by-step explanation:
(y1-y2)/(x1-x2) = (2-10)/(1-3) = -8/-2 = 4
Maya is saving money to buy a game. So far she has saved $6, which is two-thirds of the total cost of the game. How much does the game cost?
Answers
Answer:
9 dollars
Step-by-step explanation:
Since 6 is 2/3 of the total price, and half of 6 is 3, add three to 6 and you get 9.
Answer:
9 dollars
Step-by-step explanation:
if 6 dollors==>2/3from the game totall price
1 complete game how much
6÷2/3=9dollars