Given :
The half-life of carbon 14 is 5,730 years.
To Find :
How much would be left of an original 50- gram sample after 2, 292 years.
Solution :
We know, rate law for first order reaction is given by :
[tex][A] = [A_o]e^{-kt}[/tex] ...1)
Here, [tex]A_o[/tex] is initial amount and [tex]A[/tex] is final amount.
And [tex]k = \dfrac{ln\ 2}{t_{0.5}}[/tex]
Putting value of half time in above equation, we get :
[tex]k = \dfrac{ln\ 2}{5730}\\\\k = 1.21\times10^{-4} \ /s[/tex]
Putting value of k in equation 1) , we get :
[tex][A] = 50\times e^{-1.21\times 10^{-4}\times 2292} = 37.89\ gm\\\\[/tex]
Hence, this is the required solution.
Answer: i have zero clue lol
Without looking, Luke picks necklace beads from a bag of 52 beads. Half the beads are rough. The other half are smooth. There are 13 red beads, 13 blue beads, 13 green beads, and 13 black beads.
What is the theoretical probability of selecting a rough bead?
The theoretical probability of selecting a rough bead is 1/2.
Total number of beads = 52
Number of rough beads = 26
Number of smooth beads =26
What is the probability?Probability is the measurement of possibilities.
P(event) = favorable outcomes/total outcomes
P(rough) = number of rough beads/ total beads
P(rough) =26/52
P(rough) =1/2
Therefore, the theoretical probability of selecting a rough bead is 1/2.
To get more about probability visit:
https://brainly.com/question/24756209
Answer: 1/2
Step-by-step explanation:
3x-9=7x+14 solve for x
Answer:
x= - 23/4
Step-by-step explanation:
Add 9 to both sides of the equation:
3x -9 = 7x +14
3x- 9 + 9 = 7x +14 +9
Simplify:
3x -9 + 9 = 7x +14 +9
3x = 7x +14 +9
3x =7x +14 +9
Subtract 7x from both sides of the equation:
3x= 7x +23
3x -7x = 7x +23 - 7x
Simplify Again:
3x -7x = 7x +23 -7x
-4x =23
Combine like terms:
-4x =23
Divide both sides of the equation by the same terms:
14x/ 14 = 23/ -4
Cancel terms that are both the numerator and the denominator:
x= - 23/- 4
Answer:
x= - 23/4
i haven't submitted a single assignment for this class since winter break bc i didn't realize she was assigning things on goformative and not schoology and now we're on trigonometric ratios i'm confused help me
Answer and Step-by-step explanation:
Trigonometric Function (These only work for right triangles):
SOH-CAH-TOA
S = Sine = sin
C = Cosine = cos
T = Tangent = tan
O = Opposite (side)
H = Hypotenuse (side)
A = Adjacent (side)
SOH = sin(angle) = [tex]\frac{opposite}{hypotenuse}[/tex]
CAH = cos(angle) = [tex]\frac{adjacent}{hypotenuse}[/tex]
TOA = tan(angle) = [tex]\frac{opposite}{adjacent}[/tex]
1. sinQ (Q is the angle) = [tex]\frac{14}{50} = \frac{7}{25} = 0.28[/tex]
Use Pythagorean Theorem to find side PQ. [tex]14^{2} + PQ^{2}= 50^{2} \\PQ^{2} = 2304\\PQ = 48[/tex]
2. cosQ = [tex]\frac{48}{50} = \frac{24}{25} = 0.96[/tex]
3. tanQ = [tex]\frac{14}{48} = \frac{7}{24} = 0.29[/tex]
с
For the diagram shown, select the angle pair that
represents each angle type.
Corresponding angles
b
1/2
5
CO
910
Altemate exterior angles
A
3
4
7
8
1112
Alternate interior angles
Vertical angles
Answer:
For the diagram shown, select the angle pair that represents each angle type.
Corresponding angles
✔ D. angle 7 and angle 3
Alternate exterior angles
✔ C. angle 12 and angle 5
Alternate interior angles
✔ D. angle 2 and angle 11
Vertical angles
✔ C. angle 7 and angle 6
Step-by-step explanation: cus I did it on Edge 2021 and these were the answer...just trust me :)
A 30-60-90 triangle is shown below. Find the Value of X.
Will mark brainliest
Answer:
x = 5
Step-by-step explanation:
ratio of sides in a 30-60-90 triangle is 1: [tex]\sqrt{3}[/tex] : 2
to find 'x' for the triangle shown, divide the hypotenuse by 2
10/2 = 5
( 10 - 2n ) - ( 5n - 8)
Answer:
− 7n+18
Step-by-step explanation:
(10- 2n)- (5n- 8)
− 2n+10-5n+8
-7n+18
Gina has 473 pieces of Legos. She wants to divide the legos into 6 groups and then give the leftover pieces to her friend. How many pieces of legos will Gina's friend get? (Do it in Long division pls)
Answer:
Gina's friend will get 5 pieces of legos
Step-by-step explanation:
If you do long division it should look like this
[tex]\sqrt[6]{473}[/tex] = 78
then if you multiply 78 you get 468
473-468=5
Which mapping diagram represents a relationship that is a function?
Mapping A
Mapping B
3
7
O Mapping A
O Mapping B
O both Mapping A and Mapping B
Answer:
Mapping A
Step-by-step explanation:
Help! Look at the pic of attached. I will mark brainliest!
Answer:
you did not attach a paper
Step-by-step explanation:
sorry I wish I could help
After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups construct a function in the form y =mx+ to represent the amount of dog food used y, after x weeks
Answer:
y = 4.25x
Step-by-step explanation:
Given that:
After 2 week he has used 8 1/2 cups of dog food after 5 week he has used 21 1/4 cups, we can write this in coordinate form (x, y) where;
y is the amount of dog food
x is the time in weeks
The coordinates are (2, 8 1/2) and (5, 21 1/4)
get the slope m:
m = y2-y1/x2-x1
m = (21 1/4 - 8 1/2)/5-2
m = (85/4-17/2)/3
m = (85-34/4)/3
m = 51/12
m = 4.25
Get the intercept c:
Substitute any of the points say (2, 17/2) and m = 51/12 into the equation
y = mx+c
17/2 = 51/12(2) + c
17/2 = 51/6 + c
c = 17/2 - 51/6
c = 51-51/6
c = 0
Get the required equation:
substitute m - 4.25 and c = 0 into y = mx+c
y = 4.25x + 0
Hence the required equation is y = 4.25x
Ava bought 2 1/4 pounds of ham for $7.65 at ShopRite last week. This week she bought 3 1/2 pounds of the same ham for $12.60 at Stop & Shop. Which store has the better price per pound for ham? How much less expensive is the ham at the store with the better price?
Answer:Ava bought 2 1/4 pounds of ham for $7.65 at ShopRite last week. This week she bought 3 1/2 pounds of the same ham for $12.60 at Stop & Shop. Which store has the better price per pound for ham? How much less expensive is the ham at the store with the better price?
Step-by-step explanation:
Ava bought 2 1/4 pounds of ham for $7.65 at ShopRite last week. This week she bought 3 1/2 pounds of the same ham for $12.60 at Stop & Shop. Which store has the better price per pound for ham? How much less expensive is the ham at the store with the better price?
What’s the answer???
Answer:
i'm not sure what is it ?
Step-by-step explanation:
One-third of Olivia age , increased by 12 , is equal to twice her age , decrease by 3. How old is Olivia
Answer:
she would be 9
Step-by-step explanation:
Answer:9
Step-by-step explanation:
Opposites
"Problem #1:
a. How would the frog hop to meet the following requirements?
• From 6, make one hop and land on 8.
• From 8, make one hop and land on the opposite of 8.
• From the opposite of 8, make one hop to land on the opposite of the
opposite of 8.
Answer:
How could you write the opposite of the opposite of 8" using math symbols?
Answer:
Answer:
opposite of 8 is -8 and the opposite of -8 is 8 :D
Valentines $54 for nine hours of work at that rate how long will she have to work to earn $900
Answer:
Step-by-step explanation:
63 hours
hope it helps
Answer:
a little more than 16 1/2 hours but you should round it up to 17 hours
Step-by-step explanation:
If she can only work hours and not half hours or anything, the answer would be 17 hours and she will have a little more than $900 because 16 hours would be too little time.
(sorry if this is confusing but i hope it helped)
Function g is a transformation of the parent exponential function. Which statements are true about function g?
FAKE ANSWERS WILL BE REPORTED!!
Using function concepts, it is found that the correct options are:
Function g is positive over the interval [tex](-\infty, \infty)[/tex].The range of function g is [tex](3, \infty)[/tex].Function g has a y-intercept of (0,4).What is the parent exponential function?The parent exponential function is defined by:
[tex]y = e^x[/tex]
In this problem:
When [tex]x = 0, e^x = 1[/tex], while [tex]g(x) = 4[/tex] when x = 0, hence it is 4 - 1 = 3 units above function f.From the graph, it is above the x-axis in the interval [tex](-\infty, \infty)[/tex], hence it is positive in this interval.The range is the set that contains all output values, that is, all values of y, hence it is [tex](3, \infty)[/tex].The domain is the set that contains all possible input values, hence it is [tex](-\infty, \infty)[/tex].The y-intercept is (0, g(0)), hence (0,4).Function g is increasing over the entire interval.To learn more about function concepts, you can take a look at https://brainly.com/question/16948935
Solve. Show steps. Write the solution set using set-builder notation.
-2<=1-3x<=2
(<= means greater or equal to)
Answer:
< is greater sign and = is equal to sign
Javier wants to put in a home theater. The area of the space for the screen is 20 ft by 16 ft. What is the largest home theater screen he can purchase, in feet, if the size is determined by the length of the diagonal?
Step-by-step explanation:
I dont know I need help I have this answer in my test and I need help plz
Answer:
25
Step-by-step explanation:
i need help pleaseee
screen shot attatched
Answer:
1,200 cubic cm
Step-by-step explanation:
First, you separate it into two prisms, which gives you two different volume formulas.
14*20*2 = 560
20*4*8 = 640
You then add the two volumes together, which equals 1,200
Answer:
sorry wish i could help....
Step-by-step explanation:
I don't understand this, I have the answer but I don't know or how to explain my work.
Answer:
B
Step-by-step explanation:
0.25 = 1/4 = 5/20
0.35 = 35/100 = 7/20
5/20 + 7/20 = 12/20 = 6/10 = 3/5
Answer:
Step-by-step explanation:
so first you would do 0.25+0.35= 0.6
now put 0.6 into a fraction= 6/10 because 6 is in the 10th place then simplify 6/10=3/5 which to find that you divide each side by 2
Hope This Helped!
Translate the following phrase into an expression: “An unknown number increased by ten”
Answer:
n + 10
Step-by-step explanation:
We can substitute unknown number with any variable, such as n, and substitute increased by ten with + 10, because we are adding 10. Therefore, the answer is n + 10.
how do you find out the rate per hour using minutes
Answer: You do this by dividing the minutes worked by 60. You then have the hours and minutes in numerical form, which you can multiply by the wage rate
Step-by-step explanation:
Answer:
You do this by dividing the minutes worked by 60. You then have the hours and minutes in numerical form, which you can multiply by the wage rate. For example, if your employee works 38 hours and 27 minutes this week, you divide 27 by 60.
Step-by-step explanation:
help me guys show your solution and answer the qquestion
Step-by-step explanation:
Line2
x - y = 3/2x = y + 3/2Line 3
3x + 2y = 63x = -2y + 6x = -2/3y + 2Line 4
1/4x + y = 2y = -1/4x + 2Line 5
4x - 3y = -333y = 4x + 33y = 4/3x + 11Questions
1. Yes. You need to isolate the variable to find and simplify.2. To solve for x would require to multiply all terms by 4 to get rid of fraction3. It wouldn't be easy because of the fraction. To make it easier would use multiples of 3 for x.Maurice has completed 64 pages of the research paper he is writing. That is 80% of the required length of the paper. What is the required length of the paper?
Answer:
80 pages
Step-by-step explanation:
Let the required length of paper = x
Hence:
80% of x = 64 pages
80/100 × x = 64 pages
80x /100 = 64 pages
Cross Multiply
80x = 100 × 64 pages
x = 6400/80
x = 80 pages
Therefore, the required length of the paper = 80 pages
3. Select all answers that would create a dilation.
O (x,y) -----> (2x,4y)
O (x,y) -----> (-2x,-2y)
O (x,y) -----> (92x,2y)
O (x,y) -----> (3x,3y)
O (x,y) -----> (1.2x,1.2y)
Answer:
Option B,D and E will create dilation.
Step-by-step explanation:
Dilation is the enlarging or shrinking of an element using a common scale factor.
If the same factor is multiplied by the elements, the dilation is created.
Looking at the options:
Option A
O (x,y) -----> (2x,4y)
if we take 2 as common we get 2 (x,2y) not the original coordinates (x,y). So, no dilation.
Option B
O (x,y) -----> (-2x,-2y)
if we take -2 as common we get -2(x,y) which is same as original coordinates. It would create dilation.
Option C
O (x,y) -----> (92x,2y)
if we take 2 as common we get (46x,y) not the original coordinates (x,y). So, no dilation.
Option D
O (x,y) -----> (3x,3y)
if we take 3 as common we get 3(x,y) which is same as original coordinates. It would create dilation.
Option E
O (x,y) -----> (1.2x,1.2y)
if we take 1.2 as common we get 1.2(x,y) which is same as original coordinates. It would create dilation.
So, Option B,D and E will create dilation.
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!!
Answer:I feel like it’s either C or B
Step-by-step explanation:
Which attribute is shared by both squares and trapezoids?
A) 4 sides
B) 4 right angles
C) All sides of equal length
D) 2 sets of parallel sides
3х - 7= 2х + 3 help !
Which One Doesn't Belong?
6(4 + 3)
418 + 14)
3(8 + 6)
18 + 24
A soccer team paid $28 per uniform. They bought 16 uniforms. How much money did the team spend on uniforms?
Answer:
$448
Step-by-step explanation: