Answer:
The big bang is how astronomers explain the way the universe began. It is the idea that the universe began as just a single point, then expanded and stretched to grow as large as it is right now—and it is still stretching!
Step-by-step explanation:
In 1927, an astronomer named Georges Lemaître had a big idea. He said that a very long time ago, the universe started as just a single point. He said the universe stretched and expanded to get as big as it is now, and that it could keep on stretching The universe is a very big place, and it’s been around for a very long time. Thinking about how it all started is hard to imagine. Some More Information
Just two years later, an astronomer named Edwin Hubble noticed that other galaxies were moving away from us. And that’s not all. The farthest galaxies were moving faster than the ones close to us. This meant that the universe was still expanding, just like Lemaître thought. If things were moving apart, it meant that long ago, everything had been close together.
Everything we can see in our universe today—stars, planets, comets, asteroids—they weren't there at the beginning. Where did they come from?
A Tiny, Hot Beginning
When the universe began, it was just hot, tiny particles mixed with light and energy. It was nothing like what we see now. As everything expanded and took up more space, it cooled down.
The tiny particles grouped together. They formed atoms. Then those atoms grouped together. Over lots of time, atoms came together to form stars and galaxies.
The first stars created bigger atoms and groups of atoms. That led to more stars being born. At the same time, galaxies were crashing and grouping together. As new stars were being born and dying, then things like asteroids, comets, planets, and black holes formed!
What is 3/4 written in 12 of denominator
Answer: The correct answer in 9/12
Step-by-step explanation:
For 3/4, the numerator is 3 and the denominator is 4
To change the denominator to 12, you must multiply by 3 (12/4=3)
3/4 * 3/3
= (3*3)/(4*3)
= 9/12
Find her mistake and it’s due today
Answer:
Step-by-step explanation:
On a website that sells funny T-shirts, the number of customers has been falling 10% per month. If the site had 14,000 customers this month, then how many should it expect to have 10 months from now?
If necessary, round your answer to the nearest whole number.
customers
It should expect 4881 customers to have 10 months from now.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
Given that T-shirts, the number of customers has been Falling 10% per month
There are 14,000 customers this month
Now Creating the function :
Let y be the remaining customers and x be the number of months from now
y = (14,000)(1 - 0.1)ˣ
y = (14,000)(0.9)ˣ
Solving :
y = (14,000)(0.9)¹⁰
y = (14,000)(0.34867844)
y = 4881 customers
(nearest whole person)
Hence, it should expect 4881 customers to have 10 months from now.
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Answer:
It should expect 4881 customers to have 10 months from now.
Premise 1: If a person lives in San Francisco, then they live in California. Premise 2: Fred does not live in San Francisco. Conclusion: Fred does not live in California. Let A be the set of people who live in San Francisco, and let B be the set of people who live in California. (a) Draw the Venn diagram that can be used to demonstrate the above information. Include labels for both circles and mark the location of the X. Then choose which option matches your answer? ? C X B (A) B (B) B (C) B (D) А X B (E) (b) Is this argument valid or invalid? Explain on your work paper how you made this conclusion. Invalid
Nice work on selecting "invalid" as the correct answer.
The reason why this argument is invalid is because the 'x' could be in circle B or could be outside circle B. There's simply not enough information.
The venn diagram would either be (A) or (D).
The only information we know is that Fred is does not live in San Francisco, so the 'x' will not be placed inside circle A.
Ignore any diagram where x is on the edge of a circle. That isn't allowed in venn diagrams because a person is either in San Francisco, or they aren't (same goes with California). We can't have blurry boundaries like that. This means venn diagrams (B) and (C) are nonsensical.
Q1) Reggie's annual salary increased from $43,400 to
$46,300 this year and his colleague Gerald's annual
salary increased from $39,970 to $43,720. Who received
a higher rate of increase this year?
Answer:
Gerald received the higher rate of increase
Step-by-step explanation:
A student raises the flag up at a steady speed of 3m/s. The flag is 2kg in mass. What is the average power exerted.
The average power exerted on the flag of mass 2 kg by the student is 58.8 Watt.
What is power?Power can defined as the rate at which work is done.
To calculate the average power exerted on the flag, we use the formula below.
Formula:
P = mgv............ Equation 1Where:
P = Power exertedm = Mass of the flagg = Acceleration due to gravityv = Velocity at which the flag was raisedFrom the question,
Given:
m = 2 kgv = 3 m/sg = 9.8 m/s²Substitute these values into equation 1
P = 2×3×9.8P = 58.8 WattHence, the average power exerted is 58.8 Watt.
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The length of the segment is _____centimeters
The scale is __cm : __mm.
Answer:
I'm assuming it's just a conversion of mm into cm?? in that case it will be 2.4 cm
Devontae claimed that the line y=-3/4x forms an angle of about 53.13° with the positive x-axis. Which statement proves his claim correct or incorrect?
a) Correct because arctan(4/-3) = -53.13
b) Correct because arccos(-3/4) = 53.13
c) Incorrect because arctan(-3/4) = -36.87
d) Incorrect because arccos(-3/4) = -138.59
The statement that proves the claim about the angle is incorrect is that;
c) Incorrect because arctan(-3/4) = -36.87
How to solve Trigonometric Ratios?The 6 main trigonometric ratios of a right angle triangle are;
Sine θ = length of the opposite leg / length of the hypotenuse
Cosine θ = length of the adjacent leg / length of the hypotenuse
Tangent θ = sine θ/cosine θ = opposite leg / adjacent leg.
cosecant θ = 1 / sine θ = hypotenuse / opposite leg
secant θ = 1 / cosine θ = hypotenuse / adjacent leg
cotangent θ= 1 tangent θ = adjacent leg / opposite leg.
Now, we are told that the angle formed is 53.13°. Since the options are either arctan or arccos, we will use them to verify the angles;
cos 53.13° = 0.6
tan 53.13° = 1.33
They are both positive and it means both x and y values are positive since we are told that it involves the positive x-axis.
Thus, y/x cannot be negative or -3/4 as given.
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Find the value of x. Then find the measure of each labeled angle.
(x - 58)° =
(x-58)
Answer:
x° = 119°(x-58)° = 61°Step-by-step explanation:
You want the measures of supplementary angles x° and (x-58)°.
Supplementary anglesConsecutive interior angles where a transversal crosses parallel lines are supplementary.
x° +(x -58)° = 180°
2x = 238
x = 119
x -58 = 61
The two angles are ...
x° = 119°(x-58)° = 61°<95141404393>
PLEASE HELP! ALGEBRA 1 HW I WILL GIVE BRAINLYEST FOR ANSWER!!
please answer all questions (a, b, and c)
Anna makes a round pizza. She wants to put a cheese layer on the pizza. If the
pizza is 11 in in diameter, how many square cm of cheese layer does she need
to put on the pizza?
The number of square cm of cheese layers that Anna needs to put on the pizza is 30.25π square cm.
What is the area of a circle?
In geometry, the area of a circle is the space occupied by the circle.
To find the area of a circle having radius "r", we can use the formula.
Area of a circle = π×r².
In the given question, the diameter of the pizza is 11 cm.
so the radius will be = 11/2 = 5.5 cm.
Area of the pizza = π×r²
= π×(5.5)²
= 30.25π square cm.
Hence, the number of square cm of cheese layers that need to be put on the pizza is 30.25π square cm.
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HELPP!!! Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
A business owner wants to have the front window of her store painted and is considering two artists for the job. Grace has quoted a flat rate of $99 for the job. Eva's quote is $10 per hour, plus $89 to cover the cost of materials. Depending on how long it takes Eva to paint the window, these two could end up charging the same amount. How much would it cost? How long would Eva have to take? You hav Vide
Answer:
The cost would be $99 with each artist if the job took Eva 1 hour
Step-by-step explanation:
99=10x+89
subtract 89 from both sides
10=10x
1=x
Hunter bought 3 chicken wings for $6.60. How much does each wing cost?
Answer:
$2.20
Step-by-step explanation:
6.6/3=2.2
Add and simplify.
7/12 + 2/15
let o be the point of intersection for the diagnols of quadrilateral abcd prove that abcd could be a trapezoid (that is if it has one sides parallel) is Aaod = Aboc
From the given proof below, we have been able to show that quadrilateral ABCD is a Trapezoid.
How to identify a Trapezoid?A trapezoid is also called a trapezium and it is characterized by four straight sides and one set of parallel sides. The parallel sides are referred to as the base, while the non-parallel sides are referred to as the legs.
We are told that;
O is the point of intersection for the diagonals of quadrilateral ABCD;
where;
AO/BO = CO/DO
This can also be expressed as;
AO/CO = BO/DO
Thus, if we create line OE to be parallel to DC which is OE || DC. Then it means that point E lies on BC.
Using the Basic Proportionality Theory, in ΔBDC, we can say that;
BO/OD = BE/EC ............................1
We are also given that:
AO/CO = BO/DO ..........................2
Thus, from Equations 1 and 2, we have;
AO/CO = BE/EC
Using the converse form of the Basic Proportionality Theorem, we have;
OE || AB
Therefore, AB || OE || DC.
Therefore we can conclude that ABCD is a Trapezoid.
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proof that (x-1/x)(x^4/3+x^2/3) = x⅓(x²-1/x²)
The given polynomial solved as same as RHS is x^3/3(x^2- 1/x^2)
What is polynomial?Polynomial is defined as the sum of variable terms in the form of k×x^n, where k is constant and x variable and n is an integer.
According to give data:we have given a polynomial,
(x-1/x)(x^4/3+x^2/3) = (x^3/3)(x²-1/x²)
Take LHS
⇒ (x-1/x)(x^4/3+x^2/3)
⇒ (x^2-1/x)×(x^4 + x^2/3)
⇒ (x^2-1/x) x^2(x^2+1/3)
⇒ x^2/3x (x^2-1)(x^2+1)
⇒x^2/3x(x^4-1) ∴(a^2-b^2 = (a+b)(a-b))
multiply numerator and denominator by x
⇒x^3/3 (x^4-1/x^2)
⇒x^3/3(x^2- 1/x^2) = RHS
Hence, given problem has solved.
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A road has a speed limit sign at the beginning that is noticed by 84 % of people. 95 % of people who didn't notice the sign speed on the road. Of those who notice the sign, 75 % follow the speed limit.
How many percent of people speeding on this road noticed the sign? In other words, how many people on this road speed on purpose. Give your answer in percentage.
The percentage of people over speeding on this road on purpose is 9%
Find the percent of people speeding on this road who noticed the signPercentage of people who notice the speed limit at the beginning of the road = 84%Percentage of people who didn't notice the sign = 95%Percentage of people who notice the sign and follow the speed limit = 75%Percent of people speeding on this road noticed the sign = Percentage of people who notice the speed limit at the beginning of the road - Percentage of people who notice the sign and follow the speed limit
= 84% - 75%
= 9%
In conclusion, the percentage of people who intentionally speed on purpose is 9%
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Convert the height of a person who is 5.2 feet tall to centimeters. Include the inches-centimeter conversion
factor. Use the table given to create conversion factors. Show all conversion factors needed.
Round final answer to 2 decimal places if needed. The setup below should look like the typical dimensional
analysis that you learned.
The height of a person is 5.2ft in centimeter: 158.49cm
What are the Factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.So, the conversion of measurement from the unit feet to centimeters is provided by the feet-to-centimeter calculator.
The letters "ft" and "cm" stand for feet and centimeters, respectively. The centimeter is used in the International System of Units and is regarded as a component of the metric system. The US customary measurement system uses the unit foot.Approximately 30.48 cm makes up one foot.
1 ft = 30.48 cm
Now, the formula for 5.2 feet to centimeters is as follows:We are aware that 1 foot equals 30.48 centimeters.Therefore, 5.2 feet equals 5.2 x 30.48 centimeters.
5.2 ft = 158.49 cm.5.2 feet is therefore equal to 158.49 cm in centimeters.
Hence, the height of a person who is 5.2 feet tall to centimeters is 158.49cm.
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If f(x) = 3x and g(x)=1/x, what is the domain of (gof)(x)?
For the given functions f(x) = 3x and g(x) = 1/x then domain of
(gof)(x) =1/3x is all the real numbers excluding zero.
As given in the question,
Given functions are as follow:
f(x) = 3x
g(x) = 1/x
Now ,
(gof)(x)
= g(f(x))
Substitute f(x) = 3x in the above function we have,
=g(3x)
Replace the value of x by 3x in the given function g(x) we get,
= 1/ 3x
For x = 0 (gof)(x) =1/3x is undefined.
Domain include all the real numbers except zero.
Therefore, for the given functions f(x) = 3x and g(x) = 1/x then domain of (gof)(x) =1/3x is all the real numbers excluding zero.
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For each ordered pair, determine whether it is a solution to the system of equations.
-3x+2y=5
y=8x-4
(x, y)
(0, -4)
(-3,5)
(1,4)
(-7, - 8)
Is it a solution?
Yes
O
O
O
No
O
X
Ś
An ordered pair which is a solution to the given system of linear equations is: (1, 4).
How to determine the solution?In order to determine which ordered pairs are valid and true solutions based on the given system of linear equations, we would have to test the given ordered pairs by substituting their values into the linear equations as follows;
For ordered pair (0, -4), we have:
-3x + 2y = 5
-3(0) + 2(-4) = 5
0 - 8 = 5
-8 = 5 (No)
For ordered pair (-3, 5), we have:
-3x + 2y = 5
-3(-3) + 2(5) = 5
9 + 10 = 5
19 = 5 (No)
For ordered pair (1, 4), we have:
-3x + 2y = 5
-3(1) + 2(4) = 5
-3 + 8 = 5
5 = 5 (Yes)
For ordered pair (1, 4), we have:
y = 8x - 4
4 = 8(1) - 4
4 = 4 (Yes).
For ordered pair (-7, -8), we have:
-3x + 2y = 5
-3(-7) + 2(-8) = 5
21 - 16 = 5
5 = 5 (Yes)
For ordered pair (-7, -8), we have:
y = 8x - 4
-8 = 8(-7) - 4
-8 = -58 (No).
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The adult daily dosage for a certain medicine is 260 mg (milligrams) of medicine for every 40 pounds of body weight. a. At this rate, find the daily dose for a man who weighs 195 pounds. b. If the man is to receive 600 mg of this medicine every 8 hours, is he receiving the proper dosage? a. The daily dose for a man who weighs 195 pounds is (Round to the nearest tenth as needed.) mg.
a) Daily dose for a man who weighs 195 pounds is 30 mg.
b)Here 422.5 mg is less than 600mg. Then, He doesn't receive proper dosage.
What is proportional ?
Any relationship that always has the same ratio is referred to be proportionality. For instance, the average number of apples per tree determines the proportionality between the quantity of apples in a crop and the number of trees in the orchard.
Here , The adult daily dosage for a certain medicine is 260 mg
=> [tex]\frac{40}{260} = \frac{195}{x}[/tex]
=> x = [tex]\frac{260*195}{40}[/tex]
=> x =1267.5 mg.
a) Daily dose for a man who weighs 195 pounds is 30 mg.
b) Here for 24 hours = 1267.5 then,
=> 8 hours = x
=> x = [tex]\frac{1267.5*8}{24}[/tex]
=> x = 422.5 mg.
Here 422.5 mg is less than 600mg. Then, He does'nt receive proper dosage.
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A2 Lesson 3.2 Practice
1. Does the graph shown represent a function for 0 < x < 6? Explain.
Yes, the graph shown represents a function for 0 < x < 6 because its domain is true about the given interval.
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
The function is given in the represented graph
According to the given graph, we can see the value of the domain of the given function f(x) when the function includes all possible variables of x values of a function.
Here the domain of the given function is 0 < x < 6
Therefore, the graph shown represents a function for 0 < x < 6 because its domain is true about the given interval.
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There are 212 parks in the city of Indianapolis and the city has a population of 870,000. What is the number of parks per capita in the city of Indianapolis? Round to 6 decimal places.
The number of parks per capita when there is the total population of 870,000 people and there are 212 parks is 4,103.77358.
What is per captia?
“Per capita” is a Latin term that means “per head.” This term is used to express the average per person, the term “per capita” is occasionally used in statistics instead of “per person.”
On a given case, the per capita parks for population can be calculated by dividing total population by total parks.
According to the given illustration,
Total population of city = 870,000
Total Parks= 212
Calculation of parks per capita in the city of Indianapolis:
Per capita shops = Total population/ Total shops
Per capita shops =870,000/212
Per capita shops = 4,103.77358
Therefore, the number of parks per capita is 4,103.77358.
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Fasting blood glucose levels are normally distributed with mean u = 117
mg/dL and standard deviation o = 15.2 mg/dL. Compute the upper 40.
percent Round answers to 1 decimal place.
the upper 40 percent round answers to 1 decimal place is 113.1
mean( [tex]\mu\\[/tex]) = 117 mg/dL
S.D.(σ) = 15.2 mg/dL
The r code which is used to get 40th percentile in qnorm(0.4,117, 15.2 ) = 113.1
What is mean?
Mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations), the geometric mean, and the harmonic mean.
What do you mean by geometric mean?
Geometric Mean (GM) is the average value or mean which signifies the central tendency of the set of numbers by finding the product of their values.
What do you mean by arithmetic mean?
The quantity obtained by summing two or more numbers or variables and then dividing by the number of numbers or variables.
What do you mean byharmonic mean?
The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals.
What do you mean by Standard Deviation?
A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.
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A researcher believes that 8% of pet dogs in Europe are Labradors. If the researcher is right, what is the probability that the proportion of Labradors in a sample of 694 pet dogs would differ from the population proportion by less than 3%? Round your answer to four decimal places.
The probability that the proportion of Labradors in a sample of 694 pet dogs would differ from the population proportion by less than 3% is 0.9964
How to get the required probabilityThe probability is calculated using z score, this is used to determine the amount of standard deviations a sample, X is from the mean
The z score is given by the formula
z = (X - μ) / σ
Definition of variables
mean, μ = p = 8% = 0.08
sample size, n = 694
standard deviation, σ
= √{(p(1 - p)) / n}
= √{(0.08(1 - 0.08)) / 694}
= √{(0.08 * 0.98) / 694}
= 0.0103
The probability
differ from the population proportion by less than 3%
|X - 0.08| < 0.03
X < 0.11 OR X > 0.05
0.05 < X < 0.11
P(z < 0.11) - P(z < 0.05 )
z score for z < 0.05
z = (0.05 - 0.08) / 0.0103
= -2.9126
p value for z < -2.9126 = 0.001792
z score for z < 0.12
z = (0.12 - 0.09) / 0.0102
= 2.9412
p value for z < 2.9412 = 0.9982
The probability required = 0.9982 - 0.0016 = 0.9964 or 99.64%
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can y’all help me please
Answer:
The slope of this line is undefined.
Which point could be used to find f(2)?
A
B
C
D
Point A will represent the input-output values of the function.
What is number line ?
Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.
In the graph of y = f(x),
For every x-value (input value), value of the function is the y-value (output value).
For the input value x = 2,
Output value of the function will be,
y = f(2)
Therefore, point A will represent the input-output values of the function.
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Children at nutrition are either playing or sitting down resting. The ratio of kids playing to resting is 3:1. If there are 8 children resting, then how many are playing?
Answer: 24 kids playing
Step-by-step explanation: Since the ratio of the kids playing and resting is 3:1, and there are 8 kids resting, replace the 1 with 8, and multiply the 3 with 8 to make the equation balanced. 24:8!
what is the answer for -1/5x + 4 < 39
solution: [tex]x > -175[/tex]
interval notation: (-175, ∞)
explanation:
[tex]-\frac{1}{5}x + 4 < 39\\[/tex]
Subtract 4 from both sides
[tex]-\frac{1}{5}x +4-4 < 39-4\\[/tex]
Simplify
[tex]-\frac{1}{5}x < 35[/tex]
Multiply both sides by -1 (reverse the inequality)
[tex](-\frac{1}{5}x )(-1) > 35(-1)[/tex]
Simplify
[tex]\frac{1}{5}x > -35\\[/tex]
Multiply both sides by 5
[tex]5[/tex] ·[tex]\frac{1}{5}x > 5(-35)[/tex]
Simplify
[tex]x > -175[/tex]
Mr. Abbas has bought a Villa in Saar recently for 80,000 BD. He wants to sell it at a 40% profit. House prices are projected to rise on average by 7% a year.
i) How many years will Mr. Abbas have to wait before selling?
The 80,000 BD Villa in Saar Mr. Abbas plans to sell at a 40% profit , with the annual house price growth rate of 7% (compounded) gives the number of years Mr. Abbas has to wait as approximately 5 years
What is the growth rate on an value?The growth rate is the rate at which the value changes within a specified period.
The amount Mr. Abbas bought the Villar in Saar = 80,000 BD
The profit at which he intends to sell it = 40% = 0.4
The rate at which the house prices rise on average = 7 % per annum
The formula for future value, FV is presented as follows;
[tex]FV = PV\cdot \left(1+\dfrac{r}{100} \right)^n[/tex]
Where;
FV = The future value = 80,000 BD + 0.4 × 80,000 BD = 112,000 BD
PV = The present value = 80,000 BD
r = The rate at which the house prices increases annually
n = The number of years
Which gives;
[tex]112,000 = 80,000\cdot \left(1+\dfrac{7}{100} \right)^n[/tex]
[tex]n = \dfrac{ln\left(\dfrac{112,000 }{80,000}\right) }{ln\left(1+\dfrac{7}{100} \right) } \approx 5[/tex]
The number of years Mr. Abbas has to to wait, n ≈ 5 years
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