universal clock. according to modern science, earth is about 4.5 billion years old and written human history' extends back about 10,000 years. suppose you represent the entire history of earth by 12 hours on a clock. with the birth of earth are the stroke of mid night and today at the stroke of noon. a. how much rime on the clock represents 500 million years? b. how long before noon does written human history begin?
Answers
The clock will represent 4.5 billion years as 2.67 hours.
Its numerals and the movement of the hour and minute hands on the clock also help us keep track of hours and hours. Example: Calculate the number of hours elapsed from clock A to clock B.
Data provided in the question:
Total time of history of Earth = 4.5 billion years
Representation of total time of history of Earth on clock = 12 hours
Therefore,
4.5 billion years = 12 hours
or
⇒ 1 billion year = 12 hours/4.5
or
⇒ 1 billion year = 2.67 hours
Hence,
the clock will represent 4.5 billion years as 2.67 hours.
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Related Questions
What kind and how much polygons do you see in the net of the triangular prism?
Answers
The net of a triangular prism consists of two triangles and three rectangles.
In the net of a triangular prism, we can observe two types of polygons: triangles and rectangles.
First, let's discuss the triangles.
A triangular prism has two triangular faces, which are congruent to each other.
These triangles are equilateral triangles, meaning they have three equal sides and three equal angles.
Each of these triangles contributes two polygons to the net, one for each face.
Next, we have the rectangles.
A triangular prism has three rectangular faces that connect the corresponding sides of the triangular bases.
These rectangles have opposite sides that are parallel and equal in length.
Each rectangle contributes one polygon to the net, resulting in a total of three rectangles.
To summarize, the net of a triangular prism consists of two equilateral triangles and three rectangles.
The triangles represent the bases of the prism, while the rectangles form the lateral faces connecting the bases.
Altogether, there are five polygons in the net of a triangular prism.
It's important to note that the dimensions of the polygons may vary depending on the specific size and proportions of the triangular prism, but the basic shape and number of polygons remain the same.
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acid solution a has a 50% acid concentration, and acid solution b has a 20% acid concentration. how many ounces each of solution a and solution b must be mixed to produce 100 ounces of an acid solution with a 41% acid concentration?
Answers
Solution a needed 70 ounces and solution b needed 50 ounces
What does "1 ounce" mean?
One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.
One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.
So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:
50% * x + 20% * (100-x) = 41% * 100
Dropping the ‘%’ we get
50x + 2000 - 20x = 4100
30x = 2100
x = 2100/30 = 70
Hence 70 ounces will be needed
Solution a = 70 ounces
Solution b = 50 ounces
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I need help with this question. I don’t know how to do this.
Answers
Solution:
The arithmetic sequence is given below as
\(19,24,29,34,...\)Step 1:
We will calculate the common difference using the formula below
\(\begin{gathered} d=t_2-t_1=t_3-t_2 \\ d=24-19=29-24 \\ d=5 \end{gathered}\)Step 2:
We will calculate the fifth term using the formula below
\(\begin{gathered} c \\ n=5,a=19,d=5 \\ t_5=19+(5-1)5 \\ t_5=19+20 \\ t_5=39 \end{gathered}\)We will calculate the sixth term using the formula below
\(\begin{gathered} t_n=a+(n-1)d \\ n=6,a=19,d=5 \\ t_6=19+(6-1)5 \\ t_6=19+25 \\ t_6=44 \end{gathered}\)We will calculate the seventh term using the formula below
\(\begin{gathered} t_7=a+(n-1)d \\ n=7,a=19,d=5 \\ t_7=19+(7-1)5 \\ t_7=19+30 \\ t_7=49 \end{gathered}\)Hence,
The next three terms of the arithmetic sequence are given below as
\(\Rightarrow39,44,49\)What is the midpoint of the segment shown below?
10
O A. (-3,-11)
O B. (-9,-11)
- 10
10
-
(-12, -3)
(3,-8)
O C. (-9, -12)
OD. (-:-)
- 10
Answers
Find the missing measure of angle b (show all work)
Answers
Answer:
12: 138
13: 35
14: 49
Step-by-step explanation:
12: 180-42=138
13: 360-297-28=35
13: 90-41=49
In one design being considered for the containers shaped like a rectangular
prism, each container will have a height of 11½ inches and length of 7.
7/1/2
inches. What will be the width, in inches, of the container?
O A. 3
4.
OB.
OC. 14
O D. 15
Answers
In one design being considered for the containers shaped like a rectangular O.D. of 15 inches,Therefore, l = w.
the volume of the container is 0.0076 m³. Let us determine the height of the container using the given information.
The volume of the container can be expressed using the formula V = lwh where V is the volume, l is the length,
w is the width and h is the height.Substituting the given values into the formula,
we have;V = lwh0.0076 = (15 × w) × h... equation [1]
Since the container is shaped like a rectangular O.D,
the length and width are equal.
Substituting l = w into equation [1]
0.0076 = (15 × l) × h0.0076 = 15l × h... equation [2]
From equation [2],
h can be expressed as:
h = 0.0076/(15l)
Hence, the height of the container is given by h = 0.0076/(15l).
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cos(x+2)=sin(3x). Need done for a test please help.
Answers
an insurance agent meets twelve potential customers independently, each of whom is equally likely to purchase an insurance product. six are interested only in auto insurance, four are interested only in homeowners insurance, and two are interested only in life insurance. the agent makes six sales. calculate the probability that two are for auto insurance, two are for homeowners insurance, and two are for life insurance.
Answers
The probability of customers buying each insurance is 1/24.
What is probability?Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.
The probability of any event always lie in the close interval of 0 and 1 [0,1].
Given that,
Total number of sales is 6.
Total number of customers is 12.
The number of customers interested only in auto insurance is 6.
The number of customers interested only in homeowners insurance is 4.
The number of customers interested only in life insurance is 2.
Now, the probability that two sales are for auto insurance is given as,
2/6 = 1/3
The probability that two sales are for homeowners insurance is given as,
2/4 = 1/2
And, the probability that two sales are for life insurance is given as,
2/4 = 1/2
Thus the probability of two sales for each insurance is given as the product of all the three probabilities as,
1/3 × 1/2 × 1/2 = 1/12
And, the probability of six customers out of 12 buying the sales is,
6/12 = 1/2
Thus, the probability for the given case is,
1/2 × 1/12 = 1/24
Hence, the probability for the given problem is 1/24.
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I need some help please
Answers
Answer:
x+2
hope this helps ;)
and cute pfp
Answer:
Step-by-step explanation:
x-1, because 3 fits the criteria, x>=1
An on-demand movie company charges $2.95 per movie plus a monthly fee of $39.95. Which expression represents the yearly
cost for x movie rentals?
O 2.95x+ 39.95
O 39.95x+ 2.95
O 2.95x-39.95(12)
O 295x+39.95(12)
Answers
Answer: 2.95x+39.95(12)
Step-by-step explanation:
Hi, to answer this question we have t write an expression with the information given:
The yearly cost for x movie rentals is equal to : the product of the cost of each movie (2.95) and the number of movies (x) ;plus the product of the monthly fee (39.95) and the number of months in a year (12)
Mathematically speaking:
2.95x+39.95(12)
Answer:
D-295x+39.95(12)
Step-by-step explanation:
EDG2021
I need quick help!!!
Answers
Answer:
it is 6...................
A situation with an output of area in square feet that can be modeled using the function f(x)=(x)(2x+5)
Answers
Answer:b
Step-by-step explanation:bcz ur gay
i need help with this ASAP
Answers
solve for x:x+3.17=12.78
Answers
help
There are 230 milliliters of water in a beaker. How many liters are in the beaker?
A. 0.023 L
B. 230 L
C. 2.3 L
D. 0.23 L
Answers
For lunch, you get tacos that cost $5.50
$
5
.
50
. You also get chips and salsa for $3.99
$
3
.
99
. What is the total cost of your lunch?
Answers
9.49$
Step-By-Step explanation:How do you find the length of an altitude of an isosceles triangle?
Answers
The altitude of an isosceles triangle is sqrt (a^2 - b^2 / 4).
In the triangle ABC, sides AB and AC are equal (say a) and side BC = b. Let us consider the triangle ADC which is the right triangle in the isosceles triangle ABC, and by Pythagoras' theorem,
we get that the altitude AD of the isosceles triangle can be obtained:
AD ^ 2 = AC ^ 2 - (BC / 2) ^2
AD ^ 2 = (a ^ 2 - b ^ 2 / 4)
AD = sqrt (a ^ 2 - b ^ 2 / 4).
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For each sequence, decide whether it could be arithmetic or geometric or neither. 200, 40, 8
Answers
Answer:
geometric sequence
Step-by-step explanation:
an arithmetic sequence has a common difference d between consecutive terms.
40 - 200 = - 160
8 - 40 = - 32
no common difference thus not arithmetic
a geometric sequence has a common ratio r between consecutive terms
\(\frac{40}{200}\) = \(\frac{4}{20}\) = \(\frac{1}{5}\)
\(\frac{8}{40}\) = \(\frac{1}{5}\)
thus there is a common ratio so sequence is geometric
2s2+4sh, where side s is side length of the square base and h is the height of the prism. What is the surface area in square feet of a rectangular prism with a square base where s=4 feet and h=6
Answers
Answer:
The surface area is 128 square feet
Step-by-step explanation:
Given the formula above, we want to calculate the surface area of the rectangular prism
All we have to do here is to make substitutions
we substitute s = 4 ft and h = 6 ft
Thus, we have that;
2s^2 + 4sh
= 2(4)^2 + 4(4)(6)
= 32 + 96 = 128 square feet
Without actually solving the given differential equation, find the minimum radius of convergence R of power series solutions about the ordinary point x = 0. About the ordinary point x = 1. (x2 - 2x + 5)/" + xy' – 4y = 0 (x = 0) R = (x = 1)
Answers
To determine the minimum radius of convergence (R) for power series solutions about the ordinary points x = 0 and x = 1, we can use the method of Frobenius.
For the ordinary point x = 0:
The given differential equation is of the form:
x^2y'' - 2xy' + 5y + xy' - 4y = 0
x^2y'' + (x - 2)x's + (5 - 4x)y = 0
We assume a power series solution of the form:
y(x) = Σ(a_n * x^n)
Substituting this into the differential equation and collecting like powers of x, we obtain:
Σ(a_n * n(n - 1) * x^(n - 2) + a_n * (n + 1)(n + 2) * x^n + (5 - 4n) * a_n * x^n = 0
To find the recurrence relation, we set the coefficient of each power of x to zero:
a_n * n(n - 1) + a_n * (n + 1)(n + 2) + (5 - 4n) * a_n = 0
Simplifying the equation, we get:
a_n * (n^2 - n + n^2 + 3n + 2) + (5 - 4n) * a_n = 0
a_n * (2n^2 + 2n + 5 - 4n) = 0
a_n * (2n^2 - 2n + 5) = 0
For a power series solution, the coefficients a_n cannot be zero for all n. Therefore, the equation (2n^2 - 2n + 5) = 0 must hold. However, this quadratic equation has no real solutions. Hence, no power series solution exists about the ordinary point x = 0.
Therefore, the minimum radius of convergence R about the ordinary point x = 0 is zero.
For the ordinary point x = 1:
We follow the same steps as above, assuming a power series solution of the form y(x) = Σ(a_n * (x - 1)^n).
Substituting this into the differential equation and collecting like powers of (x - 1), we obtain:
Σ(a_n * n(n - 1) * (x - 1)^(n - 2) + a_n * (n + 1)(n + 2) * (x - 1)^n + (5 - 4(n + 1)) * a_n * (x - 1)^n = 0
We can find the recurrence relation by setting the coefficient of each power of (x - 1) to zero. However, the specific values of the coefficients and the recurrence relation depend on the exact coefficients of the differential equation.
Without the exact coefficients, we cannot determine the minimum radius of convergence R about the ordinary point x = 1.
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Choose the graph of this equation. y = 2.5x
Answers
Answer:
The graph is in the picture below
Step-by-step explanation:
Matthew needs to fill a tub that can hold no more than 45 liters of water. The bucket already contains 15 liters of water. The inequality shown can be used to find, w, the number of liters of water that Matthew still needs to add to the tub.
w plus 15 is less than or equal to 45
Which inequality represents all possible values of w?
Answers
Therefore , the solution of the given problem of inequality comes out to be add any amount of water up to 30 liters to the tub and still not exceed its capacity of 45 liters.
What does inequality actually mean?A mathematics inequality is a relationship or set of variables, minus the equal sign. Equity usually comes after equilibrium. When two parameters are not equal, inequality results. Between equality and inequality, there are differences. Since the values are not the same or equal, it was determined to use the most common symbol (). Any disparity, no mater how few or numerous, can be utilized to compare values.
Here,
Given :
The given inequality is:
w + 15 ≤ 45
To isolate w, we need to subtract 15 from both sides:
w + 15 - 15 ≤ 45 - 15
w ≤ 30
Therefore, the inequality that represents all possible values of w is:
w ≤ 30
This means that Matthew can add any amount of water up to 30 liters to the tub and still not exceed its capacity of 45 liters.
Therefore , the solution of the given problem of function comes out to be add any amount of water up to 30 liters to the tub and still not exceed its capacity of 45 liters.
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Which one of the following portfolios cannot lie on the efficient frontier as described by Markowitz?
Portfolio Expected Return (%) Standard Deviation (%)
W 1500% 36
X 12 15
Z 5 7
Y 9 21
Answers
The portfolio that cannot lie on the efficient frontier is Portfolio W with an expected return of 1500% and a standard deviation of 36%.
To determine which portfolio cannot lie on the efficient frontier, we need to compare the risk-return characteristics of each portfolio. The efficient frontier represents the set of portfolios that offer the highest expected return for a given level of risk.
Looking at the given portfolios:
Portfolio W has an expected return of 1500% and a standard deviation of 36%. This is an extreme outlier and unlikely to be achievable in a realistic investment scenario. Therefore, portfolio W cannot lie on the efficient frontier.
Portfolios X, Z, and Y have more reasonable risk-return profiles. Portfolio X has a higher expected return compared to portfolios Z and Y, but it also has a higher standard deviation. Portfolios Z and Y have lower expected returns but also lower standard deviations.
Therefore, the portfolio that cannot lie on the efficient frontier is Portfolio W with an expected return of 1500% and a standard deviation of 36%.
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A coin is loaded so that the probability of a head occurring on a single toss is 32. In six tosses of the coin, what is thi probability of getting all heads or all tails? The probability of all heads or all tails is (Round to three decimal places as needed.) Given a normal distribution with mean 100 and standard deviation 10, find the number of standard deviations the measurement is from the mean. Express the answer as a positive number. 118 The number of standard deviations the measurement is from the mean is (Type an integer or decimal)
Answers
Answer:
Step-by-step explanation:
5.33
3) let’s say katie’s bike cost $100. a) if timothy’s bike is 20% the cost of katie’s, what does his bike cost?
Answers
a) Timothy's bike costs $20.It's important to note that the given percentage value represents a proportion or fraction of the original cost, allowing us to calculate the specific cost
To find the cost of Timothy's bike, we need to calculate 20% of Katie's bike cost.
20% of $100 can be calculated by multiplying $100 by 0.20:
20% * $100 = $20.
Therefore, Timothy's bike costs $20.
To calculate 20% of $100, we multiply $100 by the decimal equivalent of 20%, which is 0.20:
20% * $100 = 0.20 * $100 = $20.
In this scenario, Timothy's bike is priced at 20% of Katie's bike cost. This means that Timothy's bike is relatively less expensive compared to Katie's bike. It's important to note that the given percentage value represents a proportion or fraction of the original cost, allowing us to calculate the specific cost of Timothy's bike based on the given percentage relationship.
Based on the given information, Timothy's bike costs $20, which is 20% of Katie's bike cost.
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Just need some help
Answers
Step-by-step explanation:
D
a triangle is 180°
180-126= 54
Now you have:
56+54+X=180
110+X=180
-110 -110
X=70
Answer:
70 wanna know why add the sides then divide
Step-by-step explanation:
• How many perpendiculars can a line segment have? How
Answers
Answer:
Infinite
Step-by-step explanation:
See the line segment A-B below with just a few (7) perpendiculars....room for infinity more of them !
The probabilities of a positive response for two government programs from the citizens in eight cities are given in the table.
City
Atlanta
Positive Response Positive Response
for Program 1(%) for Program 2 (96)
77. 80
82. 10
86. 40
86. 60
Boston
Chicago
Dallas
65. 90
87. 50
73. 80
80. 90
69. 70
79. 40
78. 40
88. 10
Houston
Los Angeles
Miami
Newark
82. 50
82. 60
81. 40
83. 30
Total
68. 80
81. 70
The chance that a positive response is obtained from Chicago for program 1 is (blank) %. The chance that a positive response is obtained
from Chicago for program 2 is
(Blank) %.
Answers
The number of individuals in Chicago that will respond positively to Program 2 is 22 out of 25.
How to illustrate the information?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
Given that the chances of a positive response from Chicago residents to two government programs are 65.9% for Program 1 and 87.5% for Program 2, the likelihood of a positive response for Program 2 given that the person is from Los Angeles must be calculated as follows:
87.5 100 = X
43.75 / 50 = X
21.875 / 25 = X
Therefore, 22 out of 25 individuals in Chicago will respond positively to Program 2.
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Describe a real-world situation in which opposite quantities combine to make zero.
Answers
If a person has the same magnitude of displacement in two opposite directions, the combined displacement is zero.
What quantities combine to make a zero?We have to know that the quantities that do combine to make a zero, the quantities that we are talking about must be vectors. This is because the vectors have both magnitude and direction.
Let us use displacement in this example. Displacement is the change in the position of an object with time in a specified direction. If a person moves to the right 30 m and then moves to the left 30 m. If the left is arbitrarily taken as negative and the right is arbitrarily taken as positive then the total displacement of he person is zero.
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I don’t understand can someone help
Answers
Answer:
I plugged in your equation into Desmos and here are 5 points
Step-by-step explanation:
(-6,7)
(-5,6)
(-4,5)
(-3,6)
(-2,7)