Solution :
Avrami relationship
[tex]$1-y=exp(-kt^n)$[/tex]
[tex]$\ln(1-y)=-kt^n$[/tex]
[tex]$-\ln(1-y)=kt^n$[/tex]
[tex]$\ln\left[\ln\left(\frac{1}{1-y}\right)\right]=\ln k + n \ln t$[/tex]
The fraction transformed is 0.2 at 12.6 s,
[tex]$\ln\left[\ln\left(\frac{1}{1-0.2}\right)\right]=\ln k + n \ln (12.6)$[/tex]
[tex]$-1.5 = \ln k + 2.533 n$[/tex] .........(i)
The fraction transformed is 0.7 at 25.7 s,
[tex]$\ln\left[\ln\left(\frac{1}{1-0.7}\right)\right]=\ln k + n \ln (25.7)$[/tex]
[tex]$0.5 = \ln k + 3.24 n$[/tex] ..............(ii)
Subtract (ii) from (i),
-2 = -0.71 n
n = 2.81
Therefore, from (i),
[tex]$-1.5 = \ln k + 2.533 (2.81)$[/tex]
k = 0.000181
Now if the fraction transformed is 0.92, then
[tex]$kt^n=-\ln (1-y)$[/tex]
[tex]$t=\left[\frac{-\ln (1-y)}{k}\right]^{\frac{1}{n}}$[/tex]
[tex]$t=\left[\frac{-\ln (1-0.92)}{0.000181}\right]^{\frac{1}{2.81}}$[/tex]
t = 29.8528 s
how many different California license plates can be made if there has to be one number followed by three letters followed by three more numbers
Answer:
175,760,000 different California license plates can be made.
Step-by-step explanation:
Possible outcomes for each number of letter:
10 numbers(from 0 to 9) and 26 letters.
Format of the plate:
Number - letter - letter - letter - number - number - number
The numbers of possible outcomes are:
10 - 26 - 26 - 26 - 10 - 10 -10
How many different plates?
We multiply these values. So
10*26*26*26*10*10*10 = 175,760,000
175,760,000 different California license plates can be made.
SOMEONE PLEASE HELP!
I dont know Im sorry
Step-by-step explanation:
I just want points in not that smart
What is the opposite of dividing by 21? A. dividing by 21 B. multiplying by 21 C. subtracting 21 D. adding 21
Answer:
the correct answer is option B
What side has the same length as BC?
Answer:
DE
Step-by-step explanation:
You can tell by the markings. Since there are two vertical markings it concludes that those sides are the same length.
Please answer what is 1 2 3 4 5 no links I forgot to do my homework
1. 40°
2. 50°
3. 45°
4. a. draw a line from angle P to downward but make it so it can cut angle OPQ from the half
b. 70°
c. angle TPQ = angle OPQ ÷2
angle TPQ = 140÷2= 70°
8(2n - 5) = 3(6n - 2)
Answer:
n=-17
Step-by-step explanation:
8(2n-5)=3(6n-2)
1) Distributive property
16x-40=18x-6
16x−40=18x−6
2) Subtract 16x16x from both sides.
-40=18x-6-16x
−40=18x−6−16x
3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.
-40=2x-6
−40=2x−6
4) Add 66 to both sides.
-40+6=2x
−40+6=2x
5) Simplify -40+6−40+6 to -34−34.
-34=2x
−34=2x
6) Divide both sides by 22.
-\frac{34}{2}=x
−
2
34
=x
7) Simplify \frac{34}{2}
2
34
to 17
−17=x
8) Switch sides.
x=−17
you want to create a 99 confidence interval with a margin of error of 25 assuming that the population standard deviation is equal to 1.5 what's the minimum size of the Rams Tampa
Answer:
The minimum sample size is 239.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation is equal to 1.5
This means that [tex]\sigma = 1.5[/tex]
Margin of error of 0.25
This means that [tex]M = 0.25[/tex]
What's the minimum size of the sample?
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.25 = 2.575\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.25\sqrt{n} = 2.575*1.5[/tex]
[tex]\sqrt{n} = \frac{2.575*1.5}{0.25}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*1.5}{0.25})^2[/tex]
[tex]n = 238.7[/tex]
Rounding up:
The minimum sample size is 239.
THIS IS WORTH 30 POINTS
1. Point B is located at (-4, -6). Where is the location of B’ after a reflection over the y-axis?
Answer:
your awnser would be [4, −6]
Step-by-step explanation:
hope this helps
equations equivalent to x/4+1/3=5/6
PLS HELP!! need the answer asap
Plsss help no links or files pls will give brainlest
Answer:
4 or....
Step-by-step explanation:
I think its 4. maybe not
Can anyone help me with my math I have a picture of it
Make a line plot of the measurements in the table. Then find the fair share.
Table:
Amount of Sports drink (gallons)
1 over 4
1 over 2
1 over 3
1 over 2
1 over 4
1 over 3
1 over 3
1 over 2
Answer:
its nothing 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
3/8 or 1/3 if you round it.
Law of Sines, due by tonight
Answer:
[tex]21^{\circ}[/tex]
Step-by-step explanation:
The Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] and works for every triangle.
Substituting given values, we have the following equation:
[tex]\frac{\sin 68^{\circ}}{18}=\frac{\sin C}{7}, \\\\\sin C=\frac{7\sin 68^{\circ}}{18},\\\\C=\sin^{-1}(0.36057149899),\\\\C\approx \boxed{21^{\circ}}[/tex]
*Note that because [tex]\sin \theta=\sin(180-\theta)[/tex], when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.
A serving of crackers has 1.5 grams of fat.
How many grams of fat are in 3.75 servings?
O A. 3.90
B. 5.25
C. 5.305
D. 5.625
Which product is represented by the model below
Answer:
A. 3/8*2=6/8
Step-by-step explanation:
Think about a whole number as (whole number)/1
(2/1)
Then multiply
3/8*2/1=6/8
Hope that helps!
The moving company
charges extra money to move boxes weighing more than
25 pounds. Circle the packages that weigh less than 25 pounds.
Put an X on the packages that weigh more than 25 pounds.
320 ounces
480 ounces
288 ounces
368 ounces
352 ounces
432 ounces
the polynomial x^+3x - 1 is a factor of x^3+2x^2-5x-6
Answer:
If its x^2 + 3x - 1 it is not a factor.
Step-by-step explanation:
x^2+3x - 1 is a factor of x^3+2x^2-5x-6?
Try dividing:
x^2+3x - 1 ) x^3 + 2x^2 - 5x - 6( x - 1
x^3 + 3x^2 - x
- x^2 -4x - 6
-x^2 - 3x + 1
- x - 7 <------- remainder.
Find the equation (in terms of x ) of the line through the points (-3,4) and (1,-8)
Answer:
A(-3,4) B(1,-8)
y-y1/x-x1 =y2-y1/x2-x1
y-4/x--3 = -8-4/1--3
y-4/x+3 = -12/1+3
y-4/x+3 =-12/4
y-4/x+3 = -3
y-4 = -3(x+3)
y-4=-3x-9
y+3x +9-4=
y+3x+5=0
Answer:
y = -3x - 5
Step-by-step explanation:
-3, 4 and 1, -8
1 - -3 = 4
-8 - 4 = -12
[tex]\frac{-12}{4}[/tex] = [tex]\frac{-3}{1}[/tex] = -3
gradient/slope = -3
now substituting in the point -3, 4 to find the y intercept:
4= -3 x -3 + c
4 = 9 + c
-5 = c
y intercept = -5
equation is y = -3x - 5
15 men can build a wall in 20 days. How long will 25 men take to build the
same wall?
Answer:
Step-by-step explanation:
no of men no of days
15 20
25 let be x
it is in indirect proportion
15/25=x/20
do cross multiplication
25*x=20*15
25x=300
x=300/25
x=12
therefore ot will take 12 day to complete the same wall by 25 men.
2. Caleb wants to tile the floor of his fort, the dimensions are 3mm by 4m. The tiles he
wants to buy come in squares. The perimeter of the tile is 80cm.
How many tiles will Caleb need?
tiles
Answer:
Number of tile need = 300 tiles
Step-by-step explanation:
Given:
Dimensions of floor = 3 m by 4 m
Perimeter of square tile = 80 cm
Find:
Number of tile need
Computation:
Perimeter of square tile = 4(Side)
80 = 4(Side of tile)
Side of tile = 80 / 4
Side of tile = 20 cm
Side of tile = 0.2 meter
Area of tile = 0.2 x 0.2
Area of tile = 0.04
Area of floor = 3 x 4
Side of tile = 12 square meter
Number of tile need = 12 / 0.04
Number of tile need = 300 tiles
x^2-16=0 solve for all real values of x
Hi there! Use the difference of two squares formula below:
[tex] \large \boxed{ {x}^{2} - {y}^{2} = (x + y)(x - y)}[/tex]
You need to know that what number times itself and get 16. 16 comes from 4×4 or 4².
Then,
[tex] \large{ {x}^{2} - 16 = (x + 4)(x - 4)}[/tex]
[tex] \large{(x + 4)(x - 4) = 0}[/tex]
Solve the equation for all real values of x.
[tex] \large{x = 4, - 4}[/tex]
If you don't like using a formula. You can do this:
[tex] \large{ {x}^{2} - 16 = 0} \\ \large{ {x}^{2} = 16} \\ \large{x = \pm \sqrt{16} } \\ \large{x = \pm 4}[/tex]
If you remember the square root well, the square root of 16 is 4×4. Pull out the two 4's and thus the square root of 16 is 4.
For the square both sides method above (second method), we can define that:
[tex] \large \boxed{ \large{ {x}^{2} = a \longrightarrow x = \pm a }}[/tex]
Answer
x = 4,- 4 (You can answer x = ±4find the exact value of tan A in simplest radical form
Answer:
they might not be the same numbers but you can do it with all of the step-by-step explanations I gave you just with the numbers you have
Step-by-step explanation:
Triangle ABC is a right angle triangle.
From the given right angle triangle,
AB represents the hypotenuse of the right angle triangle.
With m∠A as the reference angle,
AC represents the adjacent side of the right angle triangle.
BC represents the opposite side of the right angle triangle.
To determine tan m∠A, we would apply the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan A = √32/2 = (√16 × √2)/2
Tan A = (4√2)/2
Tan A = 2√2
3. Find the volume of the following figure. 62 units 58 units 60 units) 64 units3
Answer:
60 units
Step-by-step explanation:
Its a 5 × 3 × 4 cube
To find volume multiply the dimensions and you will get 60
Answer:
60 units
Step-by-step explanation:
I did the test.
A poll states that Hillary Clinton will receive 43 percent of the vote. There is an 8 percent margin of error. What do you think of the poll
Step-by-step explanation:
This system of election result forecast is called a non-representative poll with a high percent margin of error. and used as an alternative to an expensive and tedious representative poll system.
Non-representative polls can be used to produce accurate electoral predictions and may frequently be done faster and cheaper than typical survey procedures.
Not just for the election forecasts, but also for public opinion on a wide variety of social, economic, and cultural topics, non-representative polling appears promising.
The coordinates for three vertices of a rectangle are (0٫4)٫(8٫4) and (8٫1). What is the coordinates of the fourth vertex ? A : (1٫0) B : (8٫0) ٫ C : (0٫1) D : (0٫8)
Answer:
(0, 1): Answer D
Step-by-step explanation:
The three given vertices are (0٫ 4)٫(8٫ 4) and (8٫ 1). Note that the x-coordinates of two of these are both 8. The remaining x-coordinate of the fourth vertex is 0. Since the figure is a rectangle, there are two sets of parallel sides. If one side is x = 8, the opposite vertical side must be x = 0, since the remaining coordinate is 0. This side is a vertical line segment. The fourth and last vertex is at the intersection of x = 0 and y = 1; (0, 1): Answer D.
Write the equation of the circle centered at ( - 4,7) with radius 20?
Answer:
(x + 4)² + (y - 7)² = 20²
Step-by-step explanation:
Graphing form
(x - h)² + (y - k)² = r²
(h, k) is the center = (-4, 7)
r is the radius = 20
-----------------------------------
Plug in the givens
(x + 4)² + (y - 7)² = 20²
A recipe uses 100 g of flour, 100 g of sugar and 80 g of butter.
8. Damia has 120 g of butter and wants to use it all in this recipe. What total weight of flour and sugar should he use in grams?
9. Damia realizes he only has 60 g of sugar, so can’t use all of his butter. How many grams of butter will he have
left over when he’s finished making the recipe?
Answer for question number 8 is 300 gms.
Can someone help to solve question number 9 in step by step please?
Answer:
600 butter : 2000 flour : 200 sugar : 400 currants = 72 cakes
120 cakes could be made with 1 kg of butter
Step-by-step explanation:
Here, 72 cakes = 6 dozen cakes
( since 12 cake = 1 dozen cake ).
a. First calculate quantity of each ingredient per dozen by dividing each by 1.5 (18/12).
• Butter - 150/1.5 = 100 g per dozen
For 6 dozen :
100g x 6 = 600 g
• Flour - 500/1.5 = 333.33 g per dozen
For 6 dozen :
333.33 g x 6 = 2000 g
• Sugar - 50/1.5 = 33.33 g per dozen
For 6 dozen :
33.33 x 6 = 200 g
• Currants - 100/1.5 = 66.67 g per dozen
For 6 dozen :
66.67 x 6 = 400 g
b. It is given that,
150g butter is required to make = 18 cakes
Then by using unitary method, we get,
1 g of butter is required to make = 18/150 cakes
Since, 1 Kg = 1000 g
Then,
1000 g of butter is required to make = (18/150) × 1000
= 120 cakes
Hence, with 1 kg of butter 120 whole cakes can be made.
Hope this answer helps you :)
Have a great day :)
Mark brainliest
pls help asap thanks <3
Answer:59
Step-by-step explanation:
beacause you need to added them all together
On Tuesday, 4 out of every 10 people who entered a store purchased something. If 8,800 people entered the store on Tuesday, how many people purchased something?