Answer:
The age of the pottery bowl is 10523 years.
Step-by-step explanation:
Amount of substance:
The amount of a substance after t years is given by the following equation:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate.
Half-life of C14.
Researching, the half-life of c-14 is 5730 years.
This means that:
[tex]A(5730) = 0.5A(0)[/tex]
We use this to find r. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{5730}[/tex]
[tex](1-r)^{5730} = 0.5[/tex]
[tex]\sqrt[5730]{(1-r)^{5730}} = \sqrt[5730]{0.5}[/tex]
[tex]1 - r = 0.5^{\frac{1}{5730}}[/tex]
[tex]1 - r = 0.99987903922[/tex]
So
[tex]A(t) = A(0)(0.99987903922)^t[/tex]
Age of the pottery bowl:
We have that:
[tex]A(t) = 0.28A(0)[/tex]
We have to find t. So
[tex]A(t) = A(0)(0.99987903922)^t[/tex]
[tex]0.28A(0) = A(0)(0.99987903922)^t[/tex]
[tex](0.99987903922)^t = 0.28[/tex]
[tex]\log{(0.99987903922)^t} = \log{0.28}[/tex]
[tex]t\log{0.99987903922} = \log{0.28}[/tex]
[tex]t = \frac{\log{0.28}}{\log{0.99987903922}}[/tex]
[tex]t = 10523.1[/tex]
So
The age of the pottery bowl is 10523 years.
Question 17
In a bag of trail mix, there is a ratio of 3 scoops of granola, 2 scoops of chocolate chips, and 1 scoop of pean
How many scoops of chocolate chips and peanuts will he need to keep the ratio equivalent?
A
17 scoops of chocolate chips and 16 scoops of peanuts
B
12 scoops of chocolate chips and 6 scoops of peanuts
с
8 scoops of chocolate chips and 7 scoops of peanuts
D
2 scoops of chocolate chips and 1 scoop of peanuts
Answer:
12 scoops of chocolate chips and 6 scoops of peanuts
Step-by-step explanation:
Clara goes miniature golfing. She pays $7.50 for an admission ticket and $6.25 for each round she golfs. The total amount Clara pays for admission and the number of rounds she golfs is $26.25.
Answer:
26.25-7.50 = 18.75
18.75/6.25= 3
She golfed for 3 rounds
Step-by-step explanation:
Solve for y
PLS HELP
Answer:
y = 8
Step-by-step explanation:
8y-4=60
+4 +4
8y=64
y=8
Since this is Equilateral Equiangular triangle each angle is going to be 60 degrees (sum of the interior angles of a triangle is 60 degrees).
Answer: y = 8
Step-by-step explanation:
Firstly, to solve this problem, we must identify what type of triangle this is.
This is an equalateral/equiangular triangle. This means that the sides are the same size and most importantly, the angles are the same degrees. How do we know this though? We know this because if a triangle is equilateral, it has equal angles. The reason we know this is an equilateral triangle is that it is denoted by the marks of congruency or the little dashes on the sides. All triangles that are equiangular have the same three angles of 60 degrees each. To top that off, 60 x 3 = 180, the number of degrees a triangle must have together for it to be considered a triangle. So how do we figure this out though?
Firstly, we must make the equation EQUAL to 60 degrees
60 = 8y - 4
Then simply solve
Add the 4 to each side, we need to do the reverse sign to get rid of it on the variable side. So it would be positive (+4)
60 + 4 = 8y
64 = 8y
Then, simply, we divide each side by 8 to get our answer!
64/8 = 8y/8
8 = y
y = 8
You can confirm by plugging the 8 into y, and you will get 60.
Pls I need help.
I did not reach the word limit
Answer:
second one
Step-by-step explanation:
Jamila deposits $800 in an acount that earns yearly simple interest at a rate of 2.65%. How much money is an account after 3 years and 9 months
Answer:
In 3.75 years, you will have $865.30
Step-by-step explanation:
The amount of money in the account after 3 years and 9 months if Jamila deposits $800 in an account that earns yearly simple interest at a rate of 2.65% is $882.44.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The principle, P = $800,
The rate of interest, r = 2.65%,
The time period, n = 3 years and 9 months (total month / 12 = 45 / 12 = 3.75)
Calculate the amount by the following formula,
A = P (1 + r / 100)ⁿ,
Here, A is the amount.
Substitute the values,
[tex]A = 800(1 + 2.65 / 100)^{3.75}[/tex]
A = $882.44
Therefore, the amount of money in the account after 3 years and 9 months is $882.44.
To know more about interest:
https://brainly.com/question/29222674
#SPJ5
Determine if the two triangles are congruent. If they are, state how you know.
Answer:
they are not congruent
Step-by-step explanation:
the markings and angle don't match up to the same sides. the answer is most likely f, not enough information.
What sign is it > or < plzz help :((((((:((
Answer:
c<1
Step-by-step explanation:
Less than 1.
The equation y=21.2x represents Austin's earnings in dollars and cents, y,
for working x hours. Find the rate of change.
Given:
The equation is
[tex]y=21.2x[/tex]
Where, y is earnings for working in dollars and cents and x is the number of working hours.
To find:
The rate of change.
Solution:
The slope intercept form of a linear function is
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
We have,
[tex]y=21.2x[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=21.2[/tex]
Therefore, the rate of change is 21.2 dollar and cents per hour.
Find the total volume of this composite figure.
Answer:
volume = 76 ft³
Step-by-step explanation:
(6 x 3 x 2) + (5 x 4 x 2) = 36 + 40 = 76 ft³
pls answer this question
don't answer with a link
Answer:
18/3 =6/1 and 12/2=6 so both answers should be 6
Which expression is equivalent to -g-7+3g-6
a. - 4g - 13
b. - 8g - 3
c. -13 + 2g
d. - 4g - 1
Answer:
- g - 7 + 3g - 6
- 7 + 2g - 6
+ 2g - 13
- 13 + 2g
c. -13 + 2g
Solve for the length of x.
Answer:
67.214 is the value of x
Hope it helps!!!
3x-y=2
2x-y=3
Solve with elimination
Answer:
5
Step-by-step explanation:
{
3x−y=2
2x−y=3
In order to solve by elimination, coefficients of one of the variables must be the same in both equations so that the variable will cancel out when one equation is subtracted from the other.
3x−y=2,2x−y=3
Subtract 2x−y=3 from 3x−y=2 by subtracting like terms on each side of the equal sign.
3x−2x−y+y=2−3
Add −y to y. Terms −y and y cancel out, leaving an equation with only one variable that can be solved.
3x−2x=2−3
Add 3x to −2x.
x=2−3
Add 2 to −3.
x=−1
Substitute −1 for x in 2x−y=3. Because the resulting equation contains only one variable, you can solve for y directly.
2(−1)−y=3
Multiply 2 times −1.
−2−y=3
Add 2 to both sides of the equation.
−y=5
Divide both sides by −1.
y=−5
The system is now solved.
x=−1,y=−5
What is the HCF of 108 and 270?
Answer:
gcf, hcf, gcd (108; 270) = 54 = 2 × 3^3: greatest (highest) common factor (divisor), calculated. The numbers have common prime factors.
Step-by-step explanation:
Hope this helps :)
The highest common factor (HCF) of two given numbers is 54.
What is the highest common factor?The largest number among all the common factors of the provided numbers is the GCF or HCF of two or more numbers. Their GCF is the largest integer that can be used to divide the two natural integers x and y without leaving any remainders.
The given numbers are 108 and 270.
The prime factors of the numbers 108 and 270 are
108=2×2×3×3×3
270=2×3×3×3×5
So, HCF is 2×3×3×3=54
Therefore, HCF of 108 and 270 is 54.
To learn more about the greatest common factor visit:
brainly.com/question/11221202.
#SPJ2
please help me find the area
Answer:
594
Step-by-step explanation:
To find the area of a rectangle it is length * width
First break the shape into two shapes that are both rectangle
The find the length of the line on the tallest part, subtract 30 with 14
30 - 14 = 16
Lets first solve the taller one
16 * 24 = 384
Then solve the one on the left
14 * 15 = 210
Then add the both together to get the total area of the two shapes together
384 + 210 = 594
594 is your answer
Please make sure the answer is right I only have 6 questions help?
Answer:
i told you the answer is -8
Answer:all
recall that the inside angles of a triangle add up to 180
Step-by-step explanation:
now add up all the angles and make it equal to 180 :)
as follows
X+58+45+85 = 180
now use algebra ... and solve for X :)
X = 180-58-45-85
my calculators tells me....
X = -8
what does that answer mean?
it's saying ... like this 58-8 is that angle.. does that help ? :)
BRAINLIEST!!!!!!!! PLEASE HELP!!!!!!! I GIVE 9 POINTS INSTEAD OF 5 HELP!!!!!!!!! Is 2/3+2/3 is Grater Than Or Is It Less Than 114.
Answer:
2/3+2/3 is less than 114.
Step-by-step explanation:
2/3+2/3=4/3
4/3≈1.33
1.33<114
:))
plz help me with this question
can someone help me please
True or false
Answer:
True
Step-by-step explanation:
Solve the equation 2x²-x=0
Answer:
x=0 or x=1/2
Step-by-step explanation:
Let's solve your equation step-by-step.
2x2−x=0
Step 1: Factor left side of equation.
x(2x−1)=0
Step 2: Set factors equal to 0.
x=0 or 2x−1=0
x=0 or x= 1 /2
Which describes the motion shown?
A) Jane walks 4 blocks south, while Jeff walks 2 blocks east.
B) Jane walks 4 blocks north, turns, and walks 2 blocks east.
C) Jane valks 2 blocks south, while Jeff walks 4 blocks east.
D) Jane walks 4 blocks south, turns, and walks 2 blocks east.
Answer:
A.)
Step-by-step explanation:
Write the equation 4 - 3x = -x^2 + 3x in standard form.
Answer:
x^2-3x-3x+5=0
x^2-6x+5=0
a=1, b=-6, c=5
f f(x)=2x f ( x ) = 2 x and g(x)=x2+3 g ( x ) = x 2 + 3 , find (g ∘ f)(x) ( g ∘ f ) ( x ) . Question 2 options: 2x2+3 2 x 2 + 3 2x2+6 2 x 2 + 6 x2+2x+3 x 2 + 2 x + 3 4x2+3
Answer:
im confused. what math structure is this
Can someone help me
Find the cube root. 343/64
Answer:
28
Step-by-step explanation:
cube root of 343×64=7×4=28
hope this helps UwU
A shape is being designed such that it is a combination of an isosceles triangle with a semicircle whose diameter is the base of the triangle. The isosceles triangle has legs that are 10 inches and a vertex angle that measures 40 degrees Determine the area of the semicircle to the nearest tenth
No links.
Answer: Find the base than add
Step-by-step explanation:
I don’t know how to do this someone help plz
Answer:
A
Step-by-step explanation:
Cos 0= 2/3
0=2nd function of cos2/3= 48.189°
=48°
9 oz = ____ lb as a fraction
18 oz=____ lb as a fraction
will vote most brainliest
Answer:
9 oz=0.5625 lbs.
18 oz=1.125 lbs.
Step-by-step explanation:
billy stacked 1 inch by 1 inch plastic blocks on his desk. he created a small wall. what is the volume of the wall of which he created?
Answer:
5
Step-by-step explanation:
conducting all dl dm dm dl k dl lwhat
The sum of 2 numbers is 27. The larger number is 3 times more than the smaller number. What are the numbers?
Answer:
The first number is 6.75
The second number is 20.25
Step-by-step explanation:
I went into decimals