Answer:
1/16 chance
Step-by-step explanation:
so flipping a tail once is 1/2
so since if we want 4 in a row then multiply 1/2 4 times.
you‘ll get 1/16
so 1/16
Math question angle measures
Answer:
m∠4 and m∠2 = 81 degrees, m∠3 is 99 degrees
Step-by-step explanation:
180 - 99 = 81, therefore m∠4 and m∠2 are 81 degrees
Since 1 is 99 degrees, m∠3 is 99 degrees too.
I hope this helped, please mark Brainliest, thank you!
Answer:
Angle 1 = 99
Angle 2=81
Angle 3=99
Angle 4=81
Step-by-step explanation:
Angle one is given with this we can conclude angle 3 as they are vertical of each other.
Angle two can be seen as the sum of Angles 1 and 2 equal 180 as angle 1 is 99 we may assume angle two is 81.
Angle four is the vertical of angle two so it is 81 as well.
Not positive of this answer as I'm in geometry but I tried.
Best of luck mate
Carbon 14 is a radioactive isotope of carbon, the most common isotope of carbon being carbon 12. Carbon 14 is created when cosmic ray bombardment changes nitrogen 14 to carbon 14 in the upper atmosphere. The resulting carbon 14 combines with atmospheric oxygen to form radioactive carbon dioxide, which is incorporated into plants by photosynthesis. Animals acquire carbon 14 by eating plants. When an animal or plant dies, it ceases to take on carbon 14, and the amount of isotope in the organism begins to decay into the more common carbon 12. Carbon 14 has a very long half-life, about 5730 years. That is, given a sample of carbon 14, it will take 5730 years for half of the sample to decay to carbon 12. The long half-life is what makes carbon 14 dating very useful in dating objects from antiquity.
Consider a sample of material that contains A(t) atoms of carbon 14 at time t. During each unit of time a constant fraction of the radioactive atoms will spontaneously decay into another element or a different isotope of the same element. Thus, the sample behaves like a population with a constant death rate and a zero birth rate. Make use of the model of exponential growth to construct a differential equation that models radioactive decay for carbon 14.
Solve the equation that you proposed in to find an explicit formula for A(t).
Answer:
Differential equation: [tex]\frac{dA}{dt} = k\cdot A(t)[/tex], [tex]k < 0[/tex], [tex]k = -\frac{1}{\tau}[/tex], [tex]\tau > 0[/tex].
Solution: [tex]A(t) = A_{o}\cdot e^{-\frac{t}{\tau} }[/tex]
Step-by-step explanation:
Let suppose that rate of change of the amount of Carbon-14 atoms are directly proportional to the current amount of Carbon-14 atoms. That is:
[tex]\frac{dA}{dt}\propto A(t)[/tex]
[tex]\frac{dA}{dt} = k\cdot A(t)[/tex]
Where:
[tex]A (t)[/tex] - Amount of Carbon-14 atoms, dimensionless.
[tex]k[/tex] - Proportionality constant, measured in [tex]\frac{1}{yr}[/tex].
[tex]k[/tex] must be negative as death rate is constant and birth rate is zero. ([tex]k< 0[/tex]). Dimensionally, we can rewritte this constant as following:
[tex]k = -\frac{1}{\tau}[/tex]
Where [tex]\tau[/tex] is the time constant ([tex]\tau > 0[/tex]), measured in years.
We can find the solution of the ordinary differential equation by separating each variable:
[tex]\frac{dA}{dt} = -\frac{1}{\tau}\cdot A[/tex]
[tex]\int {\frac{dA}{A} } = -\frac{1}{\tau} \int \, dt[/tex]
[tex]\ln A(t) = -\frac{t}{\tau} + C[/tex]
[tex]A(t) = e^{-\frac{t}{\tau}+C }[/tex]
[tex]A(t) = e^{C}\cdot e^{-\frac{t}{\tau} }[/tex]
[tex]A(t) = A_{o}\cdot e^{-\frac{t}{\tau} }[/tex]
Where [tex]A_{o}[/tex] is the initial amount of atoms of Carbon-14.
Insegnt comma actoarding
international system for
47582 162315
Answer:
If they are seperate numbers then it would be
47,582 and 162,315
If they are the same number it would be 47,582,162,315
find the solution of the system of equations
-3x-2y=-4
9x+3y=15
Answer: x = 2, y = -1
-------------------------------
PLEASE HELP ASAP ty.........................................................
Answer:
Step-by-step explanation:
1 and 3 are 128
4 is 52
2 and 6 are 136
5 is 44
7 and 10 are 74
9 and 8 is 106
13 and 18 equals 52
14 and 17 is 128
12 and 15 is 44
11 and 16 is 136.
The population, in millions of people, of the United States can be represented by the recursive
formula below, where a represents the population in 1910 and n represents the number of years
since 1910.
ao
an 1.015a, - 1
Identify the percentage of the annual rate of growth from the equation a,, = 1.015a, - 1
= 92.2
=
Write an exponential function, P, where P(t) represents the United States population in millions
of people, and t is the number of years since 1910.
According to this model, determine algebraically the number of years it takes for the population of
the United States to be approximately 300 million people. Round your answer to the nearest year.
53 years for the Population of the United States to reach 300 million people according to this model.
The recursive formula of the population of the United States is given by ao = an1.015a - 1
Let's solve this to get a formula that is not recursive.a0 = a0 givena1 = 1.015a0 - 1a2 = 1.015a1 - 1 = 1.015 (1.015a0 - 1) - 1 = 1.0152 a0 - 1.015 - 1a3 = 1.015a2 - 1 = 1.015(1.015²a0 - 1.015 - 1) - 1 = 1.015³ a0 - 1.015² - 1.015 - 1a4 = 1.015a3 - 1 = 1.015(1.015³a0 - 1.015² - 1.015 - 1) - 1 = 1.015⁴ a0 - 1.015³ - 1.015² - 1.015 - 1an = 1.015na0 - 1.015n-1 - 1.015n-2 - ... - 1.015 - 1We can rewrite this asan = a0(1.015)
where a0 is the population of the United States in 1910 (92.2 million people) .
Now, we need to write an exponential function to find the population of the United States as a function of time in years since 1910.P(t) = 92.2(1.015)
To find the number of years it takes for the population to reach 300 million people, we need to solve the equation92.2(1.015)t = 300
Dividing both sides by 92.2, we get1.015t = 3.2596
Taking the natural logarithm of both sides, we get ln(1.015) = ln(3.2596)t = ln(3.2596)/ln(1.015) ≈ 53.2
Therefore, approximately 53 years for the population of the United States to reach 300 million people according to this model.
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PLease please help if you know the answer 100%
Answer:
4x +7y
Step-by-step explanation:
(8x +10y) +(-4x -3y) = x(8 -4) +y(10 -3) = 4x +7y
__
Combine like terms. Pay attention to signs.
Write an equation of the line shown. Then use the equation to find the value of x when y=112
Answer:
[tex] y = 8x + 16 [/tex]
[tex] x = 12 [/tex]
Step-by-step explanation:
Given two points on the line (0, 16) and (3, 40), an equation for the line can be written using the slope-intercept line equation which takes the format [tex] y = mx + b [/tex].
Where,
[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
b = y-intercept or the point at which the line cuts the y-axis.
Let's find slope (m) using the slope formula:
Let,
[tex] (0, 16) = (x_1, y_1) [/tex]
[tex] (3, 40) = (x_2, y_2) [/tex]
[tex] slope (m) = \frac{40 - 16}{3 - 0} [/tex]
[tex] slope (m) = \frac{24}{3} [/tex]
[tex] slope (m) = 8 [/tex]
Find b. Substitute the values of x = 0, y = 16, and m = 8 in the slope-intercept formula to find b.
[tex] y = mx + b [/tex]
[tex] 16 = 8(0) + b [/tex]
[tex] 16 = 0 + b [/tex]
[tex] 16 = b [/tex]
[tex] b = 16 [/tex]
Plug in the values of m and b into the slope-intercept formula to get the equation of the line.
[tex] y = mx + b [/tex]
[tex] y = 8x + 16 [/tex]
Let's use the equation to find x when y = 112.
[tex] y = 8x + 16 [/tex]
Substitute y = 112 in the equation
[tex] 112 = 8x + 16 [/tex]
[tex] 112 - 16 = 8x [/tex]
[tex] 96 = 8x [/tex]
Divide both sides by 8
[tex] 12 = x [/tex]
[tex] x = 12 [/tex]
Over the last 40 weeks, Mr. John has lost $2400 playing the lottery. What is his average loss per week?
Answer:
$60 per week
Step-by-step explanation:
Mark me brainliest if possible
simplify -10(3r+7)+7(4r+9)
Answer:
Your answer is
-2r-7
Step-by-step explanation:
Hope this helps!
Answer:
-2r-7
Step-by-step explanation:
Investing Your teacher invested $5000 in three funds. After a year they had $5450. The growth fund had a return rate
of 12%, the income fund had a return rate of 8%, and the money market fund had a return rate of 5%. Your teacher
invested twice as much in the income fund as in the money market fund. How much money was invested in each
fund?
The amount of money invested in growth fund was $2000, $2000 was invested in income fund and $1000 was invested in money market fund.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be independent or dependent. A dependent variable depends on other variable while an independent variable does not depend on other variable.
Let x represent the money invested in growth fund, y represent that of income fund and z represent that of money market fund.
$5000 was invested, hence:
x + y + z = 5000 (1)
Also:
0.12x + 0.08y + 0.05z = 5450 - 5000 (2)
Your teacher invested twice as much in the income fund as in the money market fund:
y = 2z (3)
From the three equations:
x = 2000, y = 2000, z = 1000
The amount of money invested in growth fund was $2000, $2000 was invested in income fund and $1000 was invested in money market fund.
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Amount received on Rs 30000 for 2 years at the rate of 11% per annum is
Answer:
Rs 36 600
Step-by-step explanation:
Use the simple interest formula :PRT/100
P is the principle
R is the rate of interest
T is the time taken
30 000 * 2 * 11
=660 000/100
= 6600 is the amount of interest charged after the 2 years
now to find the total amount received after the 2 years
= 6600 + 30 000 =36600
The company has 15 employees, who earn a total of $2,500 in salaries each working day. They are paid each Monday for their work in the five-day workweek ending on the previous Friday. Assume that December 31, 2019, is a Tuesday, and all 15 employees worked the first two days of that week. Because New Year’s Day is a paid holiday, they will be paid salaries for five full days on Monday, January 6, 2020.
Answer: Debit salaries expense 3920
Credit salaries payable 3920
Step-by-step explanation:
Note that the total amount that the company will pay to the employees on Monday, January 6, 2020, is approximately $1,166.69.
How to compute the aboveBased on the given information, we can calculate the total amount that the company will pay to the employees on Monday, January 6, 2020.
The company has 15 employees, and they earn a total of $2,500 in salaries each working day. Therefore, the daily salary per employee is $2,500 divided by 15, which is approximately $166.67.
From December 31, 2019, to January 6, 2020, there are a total of 7 days, including New Year's Day, which is a paid holiday.
The employees worked the first two days of that week (December 31 and January 1), which means they will be paid for those two days.
On January 6, 2020, the employees will be paid salaries for five full days, which includes the remaining three days of the previous week and the upcoming week.
To calculate the total amount paid on January 6, 2020, we add the salary for the two worked days and the salary for the five full days:
Total amount paid = (Salary per day * 2) + (Salary per day * 5)
= ($166.67 * 2) + ($166.67 * 5)
≈ $333.34 + $833.35
≈ $1,166.69
Hence, the total amount that the company will pay to the employees on Monday, January 6, 2020, is approximately $1,166.69.
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8x(14+7)=_____+(8x7)
Answer:
8x21 (i think this is it..)
Step-by-step explanation:
If it is 8 x (14+7)=? + (8 x 7), then it should be (8 x 14)+ (8 x 7), which is the distributive property of multiplication. There, the 8 is multiplied by each of the terms in the parentheses and the two products are added. That answer is 112+56=168, which is 8 x 21.
ieikfmfkfkddkkdkslssssaaaaaa
Answer:
smsmsmandkjenkj
um
Divide 30 into five parts such that first nad last part are in the ratio 2:3
To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:
1. Determine the ratio between the first and last parts. In this case, it is 2:3.
2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.
3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.
4. Multiply the value of each part by the respective ratio values to obtain the individual parts:
- First part: 2 * 6 = 12
- Second part: 6
- Third part: 6
- Fourth part: 6
- Last part: 3 * 6 = 18
Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.
Find the derivative of the function y = / - 5 - 3x.
dy/dx =
Answer:
-3
Step-by-step explanation:
use the power rule to solve this
From the sum of -8 and +5 subtract (-2)(-5)
Answer:
(-6)(+5-5) is the answer
Please help due today!
BRAINLY PLEASE HELP ME WITH THIS!!!!
Unit 3 Test, Part 2: Multiplying and Dividing Rational Numbers
Graded Assignment
15 points
1. Divide-3=1
To earn full credit, you must show your work. Be sure to write your answer as a simplified mixed number
Answer:
[tex] -2\frac{7}{9} [/tex]
Step-by-step explanation:
Given,
[tex] -3\frac{1}{3} \div 1\frac{1}{5} [/tex]
First, change the mixed fraction into improper fraction
[tex] -\frac{10}{3} \div \frac{6}{5} [/tex]
Flip the fraction on your left upside down, and change the operation from division to multiplication
[tex] -\frac{10}{3} \times \frac{5}{6} [/tex]
Multiply both fractions together
[tex] -\frac{10 \times 5}{3 \times 6} [/tex]
[tex] -\frac{50}{18} [/tex]
Simplify
[tex] -\frac{25}{9} [/tex]
[tex] -2\frac{7}{9} [/tex]
if I get $154 and they increase it by 5% how much have they increased
Answer:
154×5×100=770×100=77000
look at the picture above for the answer with process
A ceramic sugar bowl weighs 340 grams when empty. It
is then filled with sugar.
One tablespoon of sugar weighs 12.5 grams.
Question: When the sugar bowl is full, it weighs 740
grams. How many tablespoons of sugar can the bowl
hold?
Ariana and Sean went out to dinner with their parents. The price paid for their meal was $75.60 before taxes. The sales tax rate is 7.50%. They leave a tip of 20% of the total. What was the total amount they paid for dinner?
Answer: $97.524
Step-by-step explanation:
First let's calculate the price after the tax rate:
converting 7.50% to a decimal = 0.0750 now we multiply the sales tax by 75.60 which equals $5.67 add it to 75.60 = 81.27 (our new total)
Now let's calculate the tip. Again turning 20% to a decimal = .20 now multiplying by 81.27 = 16.254. Adding 16.254 to 81.27 we get our final answer: $97.524
This is the fourth time I put this question and no one helped me can someone please help me
Answer:
Sarah's Store
Step-by-step explanation:
Sorry it took a long time.
Answer:
Thor is the best deal.
Step-by-step explanation:
Thor is $10.35, Lemon is $11.73, Patrick is $14.66, and Sarah is $16.63.
For Thor, multiply $1.15(2)=$2.30. Then multiply $1.15(7)=$8.05. Add these together to get $10.35.
For Lemon, multiply 17($1.15)=$19.55. Then subtract by $7.82 to get $11.73.
For Patrick, use the equation we already did 17($1.15) and subtract $4.89 from it to get $14.66.
Last, For Sarah multiply our $19.55 (.15) to find 15% and get 2.934. Then subtract $19.56 - 2.934 to get $16.626. Round to $16.63.
Hope this helped!
The freshmen class is going on a field trip. There are 316 people going.
Six people will be traveling by car and there are five buses. How many
people must ride on each bus?
Kindly solve this question plz.....
Answer:
answer is A
Step-by-step explanation:
-3q – 19 = 19 – 5q
q=
Answer: - 19
Step-by-step explanation:
Answer:
-19 is the answer
Step-by-step explanation:
Out of 200 students in a senior class, 32 seniors are in the band and 64 seniors are in the band or on the honor roll. What is the probability that a randomly selected senior is both in the band and on the honor roll? Express your answer a fraction in simplest form.
The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.
Given:
Total number of seniors = 200
Number of seniors in the band = 32
Number of seniors in the band or on the honor roll = 64
Let's calculate the probability using these values:
Probability = Number of seniors in both categories / Total number of seniors
Probability = 64 / 200
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:
Probability = (64 ÷ 8) / (200 ÷ 8)
Probability = 8 / 25
Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.
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Question 6 (1 point)
What is the value of n?
79°
Blank 1:
Answer:
Step-by-step explanation:
69
solve for x:
x - 7y = 8
Answer:
x=7y+8
Step-by-step explanation:
There isn't enough information about what y would be if you meant for solving for the value of x. However, to get the equation to solve for x, all you need to do is to isolate the x by itself, which in this case you would need to add 7y to both sides. The answer should be x=7y+8
Answer:
see attached
Step-by-step explanation:
