Answer:
The estimated age of the skull is 39118 years.
Step-by-step explanation:
The amount of the substance after t years is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount, and r is the decay rate.
The half-life of carbon-14 is about 5600 years.
This means that [tex]A(5600) = 0.5A(0)[/tex]. We use this to find r, or 1 - r, to replace in the equation. So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.5A(0) = A(0)(1-r)^{5600}[/tex]
[tex](1-r)^{5600} = 0.5[/tex]
[tex]\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}[/tex]
[tex]1 - r = (0.5)^{\frac{1}{5600}}[/tex]
[tex]1 - r = 0.9999[/tex]
So
[tex]A(t) = A(0)(0.9999)^t[/tex]
Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.
This is t for which [tex]A(t) = 0.02A(0)[/tex]. So
[tex]A(t) = A(0)(0.9999)^t[/tex]
[tex]0.02A(0) = A(0)(0.9999)^t[/tex]
[tex](0.9999)^t = 0.02[/tex]
[tex]\log{(0.9999)^t} = \log{0.02}[/tex]
[tex]t\log{0.9999} = \log{0.02}[/tex]
[tex]t = \frac{\log{0.02}}{\log{0.9999}}[/tex]
[tex]t = 39118[/tex]
The estimated age of the skull is 39118 years.
What is the reading on the dial?
A) 40
B)45
C)50
D) 65
Answer:
c:50
Step-by-step explanation:
the dial between them is the number that’s equal to them..so if it is 20 to 40, the middle line would be 30this means that for this dial, it is pointing at 50.Therefore, it would be c:50.
Find the compand invest when £200 is invested at 9% for 5 years
Answer:
£107.72
Step-by-step explanation:
Given
[tex]P = 200[/tex] -- Principal
[tex]r = 9\%[/tex] -- Rate
[tex]t = 5\ years[/tex] -- Time
[tex]n = 1[/tex] -- compounded once in a year
Required
Determine the compound interest
This is calculated using:
[tex]I = P(1 + \frac{r}{n})^{nt} - P[/tex]
[tex]I = 200(1 + \frac{9\%}{1})^{1*5} - 200[/tex]
[tex]I = 200(1 + \frac{0.09}{1})^5 - 200[/tex]
[tex]I = 200(1 + 0.09)^5 - 200[/tex]
[tex]I = 200(1.09)^5 - 200[/tex]
[tex]I = 307.72 - 200[/tex]
[tex]I = 107.72[/tex]
Hence, the total interest earned is £107.72
find the geometric mean between 12 and 20 find the answer in radical form or round to the nearest tenth if necessary
Geometric mean of two numbers is squre root of thir product.
Given numbers are 12,20
Geometric mean = √(12*20)
= √240
= 15.49
= 15.5
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Complete the calculations so that each shows the correct sum.0.5137+1 And no the answer is not 1.5137 I tried it you need to find the sum 6th grade math. HAVE A GOOD DAY
Answer:
1.5137 is the right answer.
(giving brainiest)
A bottle holds 2 pints. A carton holds 3 cups. What is the total the two containers hold in fluid ounces?
A. 6 fluid ounces
B. 32 fluid ounces
C. 56 fluid ounces
D. 66 fluid ounces
Answer:
C
Step-by-step explanation:
One Pint is 16 fluid ounces, and since their are 2 that would be 32 fluid ounces. Then 1 cup is 8 fluid ounces, and since their are 3 that would be 24 fluid ounces. When added thogether the result would be 56 fluid ounces.
The total that the two containers hold in fluid ounces is 56 fluid ounces.
What are Measurements?Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object
Given that,
Capacity of a bottle = 2 pints
Capacity of a carton = 3 cups
We have to convert both of this in to fluid ounces.
1 pint = 16 fluid ounces
Capacity of a bottle = 2 pints = 2 × 16 fluid ounces = 32 fluid ounces
1 cup = 8 fluid ounces
Capacity of a carton = 3 cups = 3 × 8 fluid ounces = 24 fluid ounces
Total capacity of two containers = 32 fluid ounces + 24 fluid ounces
= 56 fluid ounces
Hence the capacity of both containers is 56 fluid ounces.
To learn more about Unit Conversion, click :
https://brainly.com/question/11543684
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What value of k makes the two expressions equivalent: K*x +6 = x +2
+4(x+1) *
2
4
6
8
1
Answer:
5
Step-by-step explanation:
the options are wrong....... k
Write a polynomial in standard form with the zeros –4, 0, 1, and 4.
Answer:
uhhm
Step-by-step explanation:
....
The required polynomial in standard form with zeros –4, 0, 1, and 4 is x⁴- x³ - 16x²+16x
Polynomial functions are functions that have a leading variable of 3 and above.
Given the zeros of a polynomial as -4, 0, 1, and 4, their corresponding factors will be:
(x+4)), x-0, x-1 and x - 4
To get the polynomial function required, we will take the product of the factors as shown:
= x(x-1)(x+4)(x-4)
= (x²-x)(x²-4²) (Note that (x+4)(x-4) is from different of two square)
f(x)= x⁴-16x²-x³+16x
Rearranging
f(x) = x⁴- x³ - 16x²+16x
Hence the function x⁴- x³ - 16x²+16x gives the required polynomial in standard form.
Learn more here: https://brainly.com/question/14263896
I need help with this answer please
Answer:
The answer is C
Step-by-step explanation:
a. 4⁰= 2⁰
b. 4^-1 < 2^-1
c. 4¹ > 2¹ (CORRECT)
d. 4⁰ = 2⁰
Answer: x > 0
Step-by-step explanation: 4^x > 2^x graphed is x > 0
j < –0.65 The variable in the inequality is .
Answer:
NO SE PERO LOS AMO A TODOS CHIKISTRIKIS
Step-by-step explanation:
SORRY NO SPEAK ENGLISH
Pleeeeeeease help me! However helps me first gets brainliest points!
Simplify the following algebraic expressions:
a. - 6x + 5 + 12x -6
b. 2(x - 9) + 6(-x + 2) + 4x
c. 3x2 + 12 + 9x - 20 + 6x2 - x
d. (x + 2)(x + 4) + (x + 5)(-x - 1)
e. (x+8)(x+9)+(x+1)(-x-6)
Answer:
A) 6x-1
B) -6
C) 9x2+8x-8
D) 3
E) 10x+66
Step-by-step explanation:
find the measures of the interior angles 110 degrees
Answer:
your answer will be 35
Step-by-step explanation:
i hope that's what you're looking for
have a nice day/night
Neda sells televisions. She earns a fixed amount for each television and an additional $15 if
the buyer gets an extended warranty. If Neda sells 19 televisions with extended warranties, she
earns $1,615. How much is the fixed amount Neda earns for each television?
Answer:
$70.
Step-by-step explanation:
Since Neda sells televisions, and she earns a fixed amount for each television and an additional $ 15 if the buyer gets an extended warranty, if Neda sold 19 televisions with extended warranties and earned $ 1,615, to determine how much is the fixed amount Neda earns for each television must perform the following calculation:
(19 x 15) + X = 1615
285 + X = 1615
X = 1330
1330/19 = 70
Thus, the fixed amount Neda receives for each television is $70.
Answer: $70
Step-by-step explanation:
Since Neda sells televisions, and she earns a fixed amount for each television and an additional $ 15 if the buyer gets an extended warranty, if Neda sold 19 televisions with extended warranties and earned $ 1,615, to determine how much is the fixed amount Neda earns for each television must perform the following calculation:
(19 x 15) + X = 1615
285 + X = 1615
After this step, you can see that the x is already isolated and no number next to it. This is a good thing because you only need to subtract 285 on both sides.
x = 1330
Then...
1330/19 = 70.
Thus, the fixed amount Neda receives for each television is $70.
Your welcome
Marley (honors student)
Determine the domain of the function, and choose the correct interval and inequality notations.
f(x) = 2x+8
Answer:
x=-4
Step-by-step explanation:
What is the measure of each base angle of a 140 degree
Answer:
The two possible cases are
(i) the base angles are each 40° and the vertex angle is 100°,
(ii) the base angles are each 70° and the vertex angle is 40°.
Step-by-step explanation:
Write the ratio for sin x, cos x and tan x
Answer:
Sin X = 15/17
Cos X = 8/17
Tan X = 15/8
Step-by-step explanation:
Recall, SOHCAHTOA.
Thus:
Sin X = opp/hyp
opp = 15
hyp = 17
✅Sin X = 15/17
Cos X = adj/hyp
Adj = 8
Hyp = 17
✅Cos X = 8/17
Tan X = opp/adj
Opp = 15
Adj = 8
✅Tan X = 15/8
Evaluate : xº + 3-1 - 32
Answer:
-29
Step-by-step explanation:
1+3-1-32
4-1-32
3-32
-29
anything raised to the power of 0 is on
please mark brainiest thank you
A fair 10 sided dice numbered 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 is rolled once. What is the PERCENTAGE probability that it lands on a number that is prime? *
Answer:
40% probability that it lands on a number that is prime.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
10 sided dice
So 10 total outcomes.
Prime numbers:
Of those, 2, 3, 5 and 7 are prime, so 4 of the outcomes.
4*100/10 = 40%
40% probability that it lands on a number that is prime.
7. A store sells various types of electronics. Each item was discounted the same
percent. The graph and table show the linear relationship between the sale
price of each item and the original price of each item.
Electronics Sale
Item
TV
POD
Computer Game
Answer:
bbb
Step-by-step explanation:
what is the projected percentage increase in the combined consumer goods exports for both hong kong and singapore between Y and Y+4?
Answer:
There is 50% increase in the combined consumer goods exports for both hong kong and singapore between Y and Y+4
Step-by-step explanation:
The remaining part of the question is attached.
Solution
Increase in consumption of consumer good for Hong Kong HKD
Increase in consumption of goods for Singapore HKD
Combined increase
%
Option D
(7.2 x ten to the third) - (2.2 x ten to the fifth)
Answer:
-212800
Step-by-step explanation:
7.2 × 10³ = 7.2 × 1000 = 7200
2.2 × 10 to the power 5 = 2.2 × 100000 = 220000
7200 - 220000 = -212800
what is the area of this triangle in square units? 10 & 7
Answer: 35
Step-by-step explanation: formula; LxW divided by 2 7x10= 70 70 divided by 2 equals 35
Answer:
alòja máskelás 70 Mòk a sì ?!
Little help ?please 5 points
Tawna and Donnie Milled cartons with bottles, Tawna put in 10 bottles and Bonnie put in a bottles, How many bottles does each carton hold?
Answer:
I Think E But Im Not Sure About It
How many solutions does this equation have? 3x + 2 = 3x + 2
Answer:
There are no solutions to this equation because we will end up in 0=0 or if we do other methods, you will get something = 0
Hope it helps :)
calcule a área calcule a área em metros do quadrados do paralograma
h=100cm
b=2m
100(2)(1/2)= 100cm squared
Emily made blueberry muffins for her scout troop's bake sale. For her first batch, she used 1 cup of blueberries and 2 cups of oats. She didn't think that would make enough muffins, so she made a larger second batch with 3 cups of blueberries and 6 cups of oats. When she took the last tray out of the oven, her little brother asked if he could have a muffin with lots of blueberries as a snack. Which batch had a greater ratio of blueberries to oats? The first batch had the greater ratio. The second batch had the greater ratio. Neither. The batches had the same ratio.
Answer:
neither, they are both the same
Step-by-step explanation:
Answer:
Neither, the batches had the same ratio.
Step-by-step explanation:
:)
Question 3 of 15
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2020-2021 T-Math-Geo-T5and6-CBT: Section 1 - No Calculator
Question: 1-3
In the figure below, ADBE is the result of a dilation of AABC with point B as the center of dilation.
E
С
Which statement best uses this information to explain why the AA criterion can be used to prove AABC - ADBE?
Answer:
I think that the answer is C
Step-by-step explanation:
What are 1/4 and 1/2 opposites
Answer:
3/4 and 1/2
Step-by-step explanation:
1/4 is one piece out of four. if you want to make the fraction whole, you add 3. therefor, the opposite is 3/4. same thing for 1/2
the area of a room is 55.929 square meters if its width is 5.43 meters, what is its length
Answer:
10.3m
Step-by-step explanation:
area of a rectangle is width times length, so you have to rearrange the equation
55.929 ÷ 5.43 = 10.3
Answer:
10.3 meters
Step-by-step explanation:
Area = length x width
55.929 = ? x 5.43
Divide 5.43 from 55.929
55.929/5.43 = 10.3 meters
Check = 10.3 x 5.43 = 55.929
Find (-21)+(-13)+20.
Answer:
14
Step-by-step explanation:
-21+-13+20=14
This is true because when subtracting negatives by negatives you pretty much add them and then when you add a positive to a negative you are technically removing the negative by the amount you are adding.
In short its kind of like using inverse operation in a way.
Hope this helps and have a nice day
Also may I please have a brainliest!!!
In ΔOPQ, the measure of ∠Q=90°, QO = 27 feet, and OP = 82 feet. Find the measure of ∠P to the nearest degree.
Answer:
19 degrees (see attached)
Step-by-step explanation:
Answer:
19 degrees
Step-by-step explanation: