A cake recipe says to bake the cake until the center is 180°F. then let the cake cool to 100°F. The table shows temperature readings for the cake.
a. Given a room temperature of 69°F, what is an
exponential model for this data set?
b. How long does it take the cake to cool to the desired
temperature?
Answer:
8.058655822 mins
Step-by-step explanation:
We have a table and to solve for this we might want to find the equation for this
This is a exponential function
To solve for this we need the rate of decay and the x intercept
We know the x intercept is 180 because in 0 mins the temp is 180
To solve for decay we need to know the temp of the cake after 1 min
to get the decay value we can do
125= 180 (x)^5
.69444444444 = x^5
0.929667185 = x
so the equation would be
180 (0.929667185)^x
if we tell this equation to equal 100
we get
100 = 180 (0.929667185)^x
.5556 = (0.929667185)^x
log .5556 = log 0.929667185 *x
log .5556 / log .929667185)
8.058655822= x
After 8.058655822 mins the cake will be 100 degrees
What is the answer to that question?
Step-by-step explanation:
the diagram is not clear
State the solution of the system of linear equation using its grap
6.
SOLUTION: (
-2
Answer:
Solution is (2, -1)
Step-by-step explanation:
The lines cross at the point where x = 2 and y = -1.
Find the perimeter of the figure to the nearest hundredth. perimeter: about __ in
Answer:
doze pulgadas12
Step-by-step explanation:
The only thing that matters of the world the same as a result of a few days later I have been a little bit of everything from the University to the point where the first place in the world and I have a feeling of being able to do it in the first half and half the size of a small amount of the most popular to
Answer: 26.85
I’m sorry, I don’t have a step by step thing but that should be the answer.
When mrs.Larkins went to her garden to pick tomatoes, 4 out of 20 were rotten. If mrs. Larkin picked 70 tomatoes, how many were rotten.
Answer: 14 tomatoes were rotten
Step-by-step explanation:
Total number of tomatoes picked by Mrs Larkin= 70
Fraction of tomatoes rotten =4/20
Number of tomatoes rotten = fraction of tomatoes rotten x Total number of tomatoes picked
= 4/20 x 70
=1/5 x70
=14
I need help ASAP nowwwwwww plz 106=
Answer:
r = 0.053 or 5.3%
Step-by-step explanation:
Formula:
I = Prt
Given:
I = 106
P = 10000
t = 73/365
Work:
I = Prt
r = I/(Pt)
r = 106/(10000 * 73/365)
r = 106/2000
r = 0.053
What can be used to show the difference in variation for two populations that have equivalent measures of center?
A.
minimum
B.
maximum
C.
median
D.
mean absolute deviation
1. C
2. D
3. A
4. A
5. C
6. A
7. Do yourself
help me please. Very much appreciated
Answer:
51 m^2
Step-by-step explanation:
Area = 11(3) + 6(3) = 51 m^2
Answer:
51 m^2
Step-by-step explanation:
Divide the shape into 2 shapes that are easily identified
Calculate each area and add them up.
You have two different dimensions:
6x3
And
11x3
You’d get 51 if you add them all up.
Write each as an algebraic expression.
how do you write 18 less than 20 as an algebraic expression?
Answer:
18<20
Step-by-step explanation:
As you said 18, less than, 20. 18<20
Mona is going shopping! She bought 3 teeshirts, each costing the same price of -$15.00. This can be modeled with the equation: 3(-15).
Answer:
Yes
Step-by-step explanation:
Yes, equation 3(-15) is basically saying that you are spending -15, 3 times and that those two numbers are being multiplied together which would give you the total cost of all the shirts you are buying. That being said, no purchase would be a negative value, this is most likely an error made when writing the question but the cost of each individual shirt should be $15 and not -$15. Therefore making the actual equation 3(15). We can even equal this to the variable C which would represent the total cost of the purchase and make it more of a real equation.
C = 3(15)
If y = 10, g=3, find 2y - 5(g-2)
your computer has virus
A). You plan to invest $1978 in an account with two different options. Option 1 earns 8.5% annually, with interest to be compounded continuously. How much money would you have in the account after 2 years?
B). You plan to invest $1978 in an account with two different options. Option 2 earns 8.5% annually, with interest to be compounded quarterly. How much money would you have in the account after 2 years?
C). You plan to invest $1978 in an account with two different options. Based on your two previous answers, which option would you choose and why?
Please hep me i will mark as the best please....
Answer:
A) $2,344.53
B) $2,340.36
C) Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B
Step-by-step explanation:
We solve for A and B using Compound Interest formula
A). You plan to invest $1978 in an account with two different options. Option 1 earns 8.5% annually, with interest to be compounded continuously. How much money would you have in the account after 2 years?
First, convert R as a percent to r as a decimal
r = R/100
r = 8.5/100
r = 0.085 rate per year,
Then solve the equation for A
The formula is given as
A = Pe^rt
A = 1,978.00(2.71828)(0.085)(2)
A = $2,344.53
B). You plan to invest $1978 in an account with two different options. Option 2 earns 8.5% annually, with interest to be compounded quarterly. How much money would you have in the account after 2 years?
First, convert R as a percent to r as a decimal
r = R/100
r = 8.5/100
r = 0.085 rate per year,
Then solve the equation for A
The formula is given as
A = P(1 + r/n)^nt
P = Principal = $1978
r = 0.085
n = compounded quarterly = 4
A = 1,978.00(1 + 0.085/4)(4)(2)
A = 1,978.00(1 + 0.02125)(8)
A = $2,340.36
C). You plan to invest $1978 in an account with two different options. Based on your two previous answers, which option would you choose and why?
Based on my answer in A and B, the Option i would choose is Option A. This is because the amount i would receive after 2 years in Option A is higher than that of Option B
10% of ________ is 7
Answer:
70
Step-by-step explanation:
70 x 0.10 = 7
Answer:
10% of 70 is equivalent to 7.
Step-by-step explanation:
If 10% of something is 7, then 7 divided by 10% is equivalent to that number. [tex]7[/tex] / [tex]\frac{10}{100}[/tex] = [tex]7 * 10[/tex] = 70.
Can anyone help me with this math equation??
Answer:
The person above me is right, it is 0.3 or 1/3
Step-by-step explanation:
Can I get help with this math problem
9514 1404 393
Answer:
D
Step-by-step explanation:
In expression D, the irrational parts cancel, leaving a rational number.
What similarity statement can you write relating the three triangles in the diagram?
А
V =
3.Kayla invested $500 in stocks. The value of the stocks have decreased by
2% each year since she made the investment. Which equation models
the value, v, of the stocks t years after she made the investment?
500(2)
B. v = 500(1.02)
C. v = 500(0.98)
500(0.02)
D.V=500(0.02)
Answer:
b
Step-by-step explanation:
Answer:
The answer is D i believe.
Step-by-step explanation:
Order the measurements from largest to smallest.
4.9L , 4090ml , 1.4km , 4901m
Answer:
4090 ml - 4.9L
1.4km - 4901m
Step-by-step explanation:
A liter is made up of 1000 ml so 4.9 l is equvilant to 4,900 ml.
A kilometre same as litre is made up of a 1000 m. So 1.4 km is 1400m
However, ml and l is a measurement of volume while m and km is a measurement of distance.
help me please . Very much appreciated
Answer:
126
Step-by-step explanation:
multuply the base times the hight in which case the base is 21 and the hight is 12 then devide that answer by 2. so it should look like this 21 * 12 all over 2
How many possibilities are there for a license plate with 3 letters and 3 numbers?
Which equation should be used to find the volume of the figure?
12 cm
13.cm
6 cm
10 cm
O V=3(10XB)(12
)
Answer:
O V=3(10XB)(12)
Step-by-step explanation:
Answer:
O V=3(10XB)(12)
Step-by-step explanation:
thats is the only equation
SOMEBODY PLSSSSSSS HELP!! :(
Answer:
What's your question?
Step-by-step explanation:
Answer:
Where is the question?
a minus 5.36 = 1.04 solve for a what is it
Answer:
A = 6.4
Step-by-step explanation:
A - 5.36 = 1.04
+5.36 +5.36
A = 6.4
What is the area of the figure?
A. 66
B. 84
C. 60
D. 72
Answer:
C.60
Step-by-step explanation:
4×12=48
18-12=6
6×2=12
48+12=60
Question 2
Create a line tangent to circle A passing through point B. Place a point C on the tangent line at any location you choose. Using the coordinates of
the points, find the slope-intercept form of the equation for the tangent line BC.
Answer:
Step-by-step explanation:
POSSIBLEPOINTS TU
Find the length of the unknown side marked with a variable. Show all work.
AGHI ~ AKLJ
12
L
9
20
K
H
X
Answer:
x = 240/9
Step-by-step explanation:
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
Thus, we have it that;
GH/IH = JL/KL
x/20 = 12/9
9 * x = 20 * 12
x = (20 * 12)/9
x = 240/9
The balance of Susu's savings account can be represented by the variable b. The inequality describing her balance is b greater-than 30 dollars. Which could be a solution to the inequality? $15 $20 $30 $35
Answer:
$35
Step-by-step explanation:
b is greater than 30
35 is the only value greater than 30
The following set of coordinates represents which figure? (0, 4), (0, 7), (1, 5), (1, 2) (5 points)
Answer:
parallelogram
Step-by-step explanation:
Im having trouble submitting this question but please help
9514 1404 393
Answer:
7.5 oz of 12% solution4.5 oz of 4% solutionStep-by-step explanation:
Let x represent the quantity of 12% solution in the mix. The the total amount of acid is ...
12%x +4%(12 -x) = 9%(12)
8x = 60 . . . . . . . . . . divide by %, subtract 48
x = 60/8 = 7.5 . . . . . ounces of 12% solution
12 -x = 4.5 . . . . . . . . ounces of 4% solution
_____
Additional comment
You could leave out the part about what happens to Mrs. V without changing the math problem.
Trina is trying to decide which lunch combination to order at a sandwich shop: 4, 5, 6, or 7.
Each combination comes with the choice of an apple, an orange, or a pear. How many
possible outcomes are there for a lunch combination and a piece of fruit?
Answer:
67 900000199l
Step-by-step explanation:
Answer:68
Step-by-step explanation: