Answer: It will take 6 years for 7500 grams of X to reach 6900 grams.
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:
[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]
where,
k = rate constant
t = age of sample
a = let initial amount of the reactant
a - x = amount left after decay process
a) for completion of half life:
Half life is the amount of time taken by a radioactive material to decay to half of its original value.
[tex]51=\frac{0.69}{k}[/tex]
[tex]k=\frac{0.69}{51}=0.0135years^{-1}[/tex]
b) for 7500 g to reach to 6900 g
[tex]t=\frac{2.303}{0.0135}\log\frac{7500}{6900}[/tex]
[tex]t=6years[/tex]
It will take 6 years for 7500 grams of X to reach 6900 grams.
*TWO QUESTIONS IN ONE*
1. What is the area of the white triangle below?
2. What is the area of the shaded region (grey) of the figure?
Answer:
1. 18 2. 30
Step-by-step explanation:
finding a triangle a=b(base)h(height) 1/2
9 times 4=36/2 =18
the whole thing is 48- the triangle 18=30
Someone please help me with this I really don’t know how to do this.
Answer:
Slope of the graph is steeper.
The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
Step-by-step explanation:
First we will find slope of the graph.
The formula used to find slope is: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
We need to find two points from the graph to find the slope.
Let we take point 1 (-2,1) and point 2 (1,2)
We will have: [tex]x_1=-2, y_1=1, x_2=1, y_2=2[/tex]
Now finding slope of the graph
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-1}{1-(-2)} \\Slope=\frac{2-1}{1+2}\\Slope=\frac{1}{3}[/tex]
So, slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
Now, we will find slope of Linear function.
It has x-intercept of 1 and y-intercept of -2
x-intercept means y=0
So, the point will be: (1,0)
y-intercept means x=0
So, the point will be: (0,-2)
We will have: [tex]x_1=1, y_1=0, x_2=0, y_2=-2[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-0}{0-(1)} \\Slope=\frac{-2-0}{0+1}\\Slope=\frac{-2}{1}\\Slope=-2[/tex]
So, the slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]
Now, we need to find which of the slope is steeper.
The larger the value of slope, more steeper it is:
Now, comparing the slopes:
The slope of the graph is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
The slope of linear function is: [tex]\mathbf{Slope=-2}[/tex]
We know that, [tex]\frac{1}{3}>-2[/tex]
So, Slope of the graph is steeper.
The answer is: [tex]\mathbf{Slope=\frac{1}{3}}[/tex]
How do I get 1/2 divided by 1/4 step by step
I need help ASAP! Please don't answer if you don't know the answer.
For each expression, combine like terms and write an equivalent expression with fewer terms. 4x+3x
9514 1404 393
Answer:
7x
Step-by-step explanation:
We can factor out x and simplify.
4x +3x = x(4 +3) = 7x
If you were having a birthday party and had 30 slices of pizza, how many slices would 5 birthday guests each get? What about 10 birthday guests? 15 birthday guests?
Answer:
5 guests: 6 slices 10 guests: 3 slices 15 guests : 2 slices
Step-by-step explanation:
So, we have 30 slices of pizza and 5, 10, and 15 slices
So , we need to divide 30 by each of the guests
30÷5=6
30÷10=3
30÷15=2
We can also heck by multiplying teh guests by our answer
5*6=30 ✔️
10*3=30✔️
15*2=30✔️
So, for 5 guests, each oione gets 6 slices
For 10 guests, each guest gets 3 slices
For 15 guests, each guest gets 2 slices
Pls help I will give BRAINLIEST
Answer: M<2=38 m<3=142 m<4=38
Step-by-step explanation:
142+142+38+38=360-Both side
142+38=180- one side
180-142=38
Answers:
angle 2 = 38 degreesangle 3 = 142 degreesangle 4 = 38 degrees========================================================
Explanation:
Angle 1 is given to be 142 degrees. Angle 3 is equal to this measure since vertical angles are congruent. Vertical angles are angles that form when you have an X shape like this. They are opposite angles.
Angles 2 and 4 are the other pair of congruent vertical angles. This means angle 2 = angle 4.
Note how angle 1 and angle 2 form a straight line. These two angles add to 180.
(angle1) + (angle2) = 180
(142) + (angle2) = 180
angle2 = 180-142
angle2 = 38 degrees
angle 4 is also 38 degrees since angles 2 and 4 are a congruent vertical angle pairing.
19. What percent of offspring will be blue eyed?
0%
25%
50%
100%
Answer:
25%
Step-by-step explanation:
A farmer wants to fence in a square pasture for his sheep. The length of one side of the pasture is represented by ^2^3. What term represents the area of the pasture?
Answer:
4x^6
Step-by-step explanation:
Area of the square pasture = L² where:
L is the
length of one side of the pasture
Given
L = 2x³
Area of the pasture = (2x³)²
Area of the pasture =2x³•2x³
Area of the pasture = 4x^{3+3}
Area of the pasture = 4x^6
Hence the area of the pasture is 4x^6
Maria is in the state park riding her bike on the new bike trail. She starts at the beginning of the trail and rides for 4 miles. After the first 4 miles, her friend Aiden joins her and they ride the rest of the trail. By the end of the trail, Maria has been riding for two and half hours, while Aiden has been riding for two hours. Assuming they are both riding their bikes at a constant speed the entire time, how long is the bike trail?
Answer:
20 miles
Step-by-step explanation:
If Maria has been riding for 2 1/2 hours and Aiden only for 2. That means that the first 4 miles she rode alone was for 1/2 hour. So that is the rate.
1/2 hour for every 4 miles
Maria rode for 2 1/2 hours divided by 1/2 hours is 5. So 5 x 4mi = 20 miles
Answer:
20 miles
because 4 miles= 1/2 hr
QUICK I NEED HELP!!! the question is: Roberto is using 12 blue tiles and 8 green tiles to design a of his outdoor patio which ratio compares the number of blue tiles to the number of green tiles in one section
A) SAS
B) AAS
C) Not enough information
D) SSS
What are the solutions of 8x2 = 6 + 22x? Check all of the boxes that apply.
Answer:
x is equal to 3 and -0.25
Step-by-step explanation:
The answer can be found by factoring the equation and solving for zero:
[tex]8x^2 = 6 + 22x\\4x^2 = 3 + 11x\\4x^2 - 11x - 3 = 0\\4x^2 -12x + x - 3 = 0\\4x(x - 3) + (x - 3) = 0\\(4x + 1)(x - 3) = 0[/tex]
So x is equal 3 and -0.25
what percent of a is b
Answer:
I didn't receive enough information about this, but I hope this helps?
Step-by-step explanation:
A 50%?
B 50%?
This problem needs more information. :3
,a,Please help me with this question
ik i’m late but, 5/4 fabric or 1 1/4 fabric. :)
I'll give Brainliest to whoever can help! I need help ASAP..!!
Answer:
1. b d
2. is c or d
3. a or c
4. b or c
5. c
Step-by-step explanation:
did I correctly fill this out(20 points someone please answer)
Answer: yes
Step-by-step explanation:
I need help I don’t get the question
Answer:
2
Step-by-step explanation:
9x-7 = 7x-3
9x-7x = 2x
2x -7 = -3
+7 +7
2x=4
x=2
solve for X: 3х + 4 = 9x + 3
Answer:
x=1/6
Step-by-step explanation:
The steps are in the picture below
Answer:
Step-by-step explanation:
here you go mate
step 1
3х + 4 = 9x + 3 equation
step 2
3х + 4 = 9x + 3 simplify
-6x+4=3
step 3
−6x+4=3 subtract 4 from both sides
−6x+4(-4)=3(-4)
-6x=-1
step 4
[tex]\frac{-6x}{-6} =\frac{-1}{-6}[/tex] divide both sides
answer
x=[tex]\frac{1}{6}[/tex]
cos 63° = x/80 ??? PLS HELP????
Answer:
X = 37.6
Step-by-step explanation:
Cos(62°) = X/80
80cos(62°) = X
X = 80cos(62°)
X = 37.6
What is the equation of a line with a Y intercept of -3 and a slope of five
Answer:
y = 5x -3
Step-by-step explanation:
m=5
b=- 3
y = mx + b
y = 5x -3
Find the HCF of 32 and 50 using prime factors
Answer:
It’s 32
Step-by-step explanation:
helppp
Evaluate the expression.
tell me answer pleaseee
Answer:
Step-by-step explanation:
34
What is the sum of 1/5 and 3/4?
Answer:
19/20
Step-by-step explanation:
1/5+3/4
(4+15)/20....take L.C.M
19/20
Answer:
0.95 OR 19/20 OR 95%
Step-by-step explanation:
(1/5)+(3/4)=0.95
HOPE IT HELPS
Pleas help it’s due tomrrow
Answer:
Step-by-step explanation:
K is located at -25
L is located at -15
just move 5 units away from J on both sides
hope this helps <3
Juan deposits $1,500 into a savings account that pays 4.5% interest compounded annually. If Juan makes no deposits or withdrawals, how much money will be in his savings account after 3 years?
Answer:
$1711.5
Step-by-step explanation:
Step one
given data
Principal = $1500
interest rate= 4.5% = 0.045
time = 3 years
Step two:
The compound interest expression is
[tex]A= P(1+r)^t\\\\A=1500(1+0.045)^3\\\\A=1500(1.045)^3\\\\A=1500*1.141\\\\A=1711.5[/tex]
given mtw=bgk find the values of x and y
Answer:
x = 12
y = 8
Step-by-step explanation:
to solve for x you would set up your equation:
4x - 3 = 45
then solve using algebra:
4x - 3 = 45
4x = 48
x = 12
to solve for y set up your equation as:
11y + 6 = 94
TO GET 94: you will need to subtract 41 and 45 from 180 to get 94.
(each triangle equals 180 and we need the 3rd measure)
solve the equation:
11y + 6 = 94
11y = 88
y = 8
Hope this helped!!
What is the length of AC?
Answer:
b
Step-by-step explanation:
Answer:
136
Step-by-step explanation:
triangles CAB and CED are similar, their sides are proportional
set up a proportion:
[tex]\frac{51}{144-x}[/tex] = [tex]\frac{3}{x}[/tex]
cross-multiply: 51x = 3(144 - x)
51x = 432 - 3x
54x = 432
x = 8
Plug in:
144 - 8 = 136
Can somebody plz help and try answering these word problems correctly thanks!
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DDDD
Answer:
21. is 18 dollars
22. is 75 dollars
Step-by-step explanation:
Answer:
21. $18.00
22. $75.00
Step-by-step explanation:
21. you can first start by seeing that since two pairs of socks are $6, then one pair must be $3. So, by multiplying 6 by 3, you would get 18 which would show that the socks would cost $18.
22. By dividing 15 by 3, you can deduce that an hour of cleaning would yield $5. So, by multiplying that by 15, she would earn $75.
Hope this helped!
A cyclist travels 20 km from home to the park.
She leaves home at 11:10 and arrives at the park at 11:40.
What is her average speed in km/h?
Answer:
40 kph
Step-by-step explanation:
I'm not to familiar with km but if it took you 30 minutes to travel 20km you would have to be going 40kph. It's basic math too. If you went 20 kph for 20km it would take you an hour to get there, but since they made it in 30 minutes, you just double the speed.