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Remember, prime numbers have only 2 factors: 1 & themselves.
For example, 5 is a prime number because it's only divisible by 1 and 5 (itself)
Now, write down some primes.
1) between 45 and 55
- 47
- it's only divisible by 1 and itself, so it IS prime
2) 62 and 72
67, because it is divisible by 1 and itself only.
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note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)
Say that australia has a working population of 11,565,470 people, and that the average salary is $26,450 annually. how much tax revenue would australia generate each year by instituting a 31.4% income tax? a. $81,528,467,671 b. $90,224,333,274 c. $96,054,697,991 d. $209,851,983,509
The tax revenue Australia would generate each year is $96,054,697,991.
What is the percentage?
The percentage is the value per hundred.
Working population of Australia = 11,565,470 people
Annual average salary = $26,450
Income tax rate = 31.4%
Tax revenue generated by each resident = 26450*(31.4/100)
Tax revenue generated by each resident =$8305.3
So, Tax revenue generated by 11,565,470 residents = 11,565,470*8305.3
Tax revenue generated by 11,565,470 residents = $96,054,697,991
Therefore, the tax revenue Australia would generate each year is $96,054,697,991.
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Tony is working on an arithmetic sequence where t(1) =4 and t(8) =67 Write the explicit equation and recursive equation for this sequence. Is 500 a term of the sequence? Explain why or why not.
This can go on forever, we can then establish the recursive formula which states:
t(n+1)=t(n)+dort(n)=t(n-1)+dExplicit formula:t(2)=t(1)+d
t(3)=t(2)+d, but t(2)=t(1)+d
t(3)=t(1)+d+d
t(3)=t(1)+2d
t(4)=t(1)+3d
t(n)=t(1)+(n-1)dWe can calculate d for these equations:t(8)=t(1)+7d67=4+7d7d=63d=9Explicit relation:t(n)=4+9(n-1)t(n)=9n-5Recursive relation:t(n)=t(n-1)+9t(500)=9(500)-5=4500-5=4495The diagram shows a convex polygon. What Is The Value Of T?
Answer:
t = 9
Step-by-step explanation:
the sum of the exterior angles of a polygon is 360°
sum the exterior angles and equate to 360
10t + 16t + 53 + 73 = 360 , that is
26t + 126 = 360 ( subtract 126 from both sides )
26t = 234 ( divide both sides by 26 )
t = 9
is 17/8 and 1/2 a proportional
Answer:
No
Step-by-step explanation:
If you simplify 17/8;
You'd get 2 1/8, and that is not proportional to 1/2.
Answer:NO
Step-by-step explanation:
17 is a prime number hence can't be simplified.
⇒ 17/8 can't be simplified
Find the t-value such that the area in the right tail is 0.005 with 28
degrees of freedom.
t=3.673900
Explanation:Given
df = 28df=28 -- degree of freedom
Area = 0.005Area=0.005
Required
Determine the t-value
The given parameters can be illustrated as follows:
P(T > t) = \alphaP(T>t)=α
Where
\alpha = 0.005α=0.005
So, we have:
P(T > t) = 0.005P(T>t)=0.005
To solve further, we make use of the attached the student's t distribution table.
From the attached table,
The t-value is given at the row with df = 28 and \alpha = 0.005α=0.005 is 3.673900
Hence, t = 3.673900t=3.673900
Question Find the circumference of the pizza. Round your answer to the nearest tenth.
How far is 75% of a 2,000-kilometre trip?
Answer:
1500
Step-by-step explanation:
Simply multiply 0.75 by 2000 to get the percent of the trip, 1500. Hope this helps!
Divide 2.875 x 106 by 2.3 x 103.
Answer:
1.25 x 10^3
Step-by-step explanation:
i took the test
coach wilson hopes to have no more than 15 turnovers during today's basketball game which inequality best represents this situation
Answers are A t is greater than or equal to 15. B is t is greater than 15. C is t less than 15. D is t less than or equal to 15
Answer:
it is D
Step-by-step explanation:
since he wants no more than 15
Answer:
D
Step-by-step explanation:
Since it says "no more than 15" coach Wilson wants either 15 turnovers or less in his game. Therefore, t is equal to less than or equal to 15.
Victor+earns+a+gross+annual+income+of+$84,482+and+is+buying+a+home+for+$185,500. +he+is+making+a+15%+down+payment+and+financing+the+rest+with+a+25-year+loan+at+4. 25%+interest
Answer:
185,500 -.15(185,500)=157,675
Yes he can afford it, it doesn't go over his income and it's %27 below.
In which quadrant does θ lie given that sinθ < 0 and cosθ < 0? Thank You!
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
Quadrant III.
Step-by-step explanation:
u said the answer :3
The quadrant that θ lies given that sinθ < 0 and cosθ > 0 will be Quadrant IV
What are trigonometric identities?
Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
we need to first know the signs of the trigonometric functions in each of the 4 quadrants going in an anti-clockwise direction.
In the first quadrant, the cot, sin, cos and tan are all positive.
In the second quadrant going anti-clockwise, only sine is positive.
In the third quadrant going anti-clockwise, only tangent is positive.
In the fourth quadrant going anti-clockwise, only cosine is positive.
We are told that the
sinθ < 0 and cos θ > 0.
This means that sine is negative and cosine is positive.
Looking at the rule, it is clear that the angle is in the fourth quadrant.
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5 pounds=. Ounces
I need Helpppp
Answer:
80 ounces
Step-by-step explanation:
1 pound is 16 ounces
5 pounds is x ounces.
[tex]\frac{1}{16}=\frac{5}{x}[/tex]
Cross multiply.
[tex]\frac{16*5}{1}=80[/tex]
Darrin graphs the following inequality: y > -3x -5. Does the side of the line with all solutions (the shaded region) include the test point (0,0)?
Yes it does include the test point (0, 0)
equation: y > -3x -5Find y-intercept: y > -3(0) -5 y > -5Find x-intercept:y > -3x -5switch sides
-3x - 5 < 0-3x < 5Multiply both sides by -1 reverses the inequality
x > -5/3Thus, the following (0, 0) comes under the following x > -5/3 and y > -5
A baker makes 75 muffins and
puts them in boxes of 4. He fills
as many boxes as he can. How
many boxes does he need to
hold all the muffins
Answer:
19 boxes, but only 18 of them will be completely full
Step-by-step explanation:
Divide 75 by 4 to see how many boxes you can completely fill. You get 18 and 3/4, so there will be 18 boxes of four muffins (completely full), and one box with 3 muffins in it.
Hopefully this helps - let me know if you have any questions!
What is the sum product pattern? Correct answer gets BRAINLY!!!!!!!!!!!!!!!!!!!! Pls hurry!!!!!!!!!!!
The sum-product pattern
If the polynomial is of the form x 2 + b x + c x^2+bx+c x2+bx+cx, squared, plus, b, x, plus, c and there are factors of c that add up to b.
I am not sure what you meant but hopefully you meant this
Answer:
If the polynomial is of the form x2 + bx + cx²+bx+cx2+bx+cx, squared, plus, b, x, plus, c and there are factors of c that add up to b.
Step-by-step explanation:
Do mark BRAINLIEST
You buy 45 shares of evu confectioners at $63.12 apiece. unfortunately, the company falls on hard times and you end up selling the stock for $41.20 per share. how much money did you lose? a. $1,854.00 b. $986.40 c. $1,183.68 d. $2,840.40
Answer:
b is your answer to this question
The money lost due to a hard time for the company is $986.4.
Number of shares =45
Price per share =$63.12
So, the total cost of buying 45 shares = 45*63.12 = $2840.4
Total selling price when the company falls on hard times and you end up selling the stock for $41.20 per share = 41.20*45 = $1854
What is a loss?Mathematically, the loss is the difference between the cost price and the selling price.
Difference between the selling price and the cost price = 2840.4 - 1854
So, the difference between the selling price and the cost price = $986.4
Therefore, The money lost due to a hard time for the company is $986.4.
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Select the true statement about trend lines.
O A. A trend line should be as close as possible to the points.
O B. A trend line connects the points.
O C. A trend line goes through the first and last points.
D. A trend line is always horizontal.
SUBMIT
The statement that is true about trend lines is: A. A trend line should be as close as possible to the points.
What is a Trend Line?A trend line, which can also be called the line of best fit, is a straight line that represents the pattern of a data, which can be positive or negative.
A trend line does not necessarily need to connects all the points, but goes through some points to show the pattern. It may not even be necessary to go through any of the points, what's improtant is for the trend line to be close to as many points as possible.
Therefore, the statement that is true about trend lines is: A. A trend line should be as close as possible to the points.
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Please Help! Will Give Brainlest! Locks In an Hour!
Answer:
B. - 0.383Step-by-step explanation:
Since cotangent of angle is:
cot λ = cos λ / sin γAnd
cos λ = x/1, sin λ = y / 1The value of cot λ is:
cot λ = x/y = - 0.358/0.934 = - 0.383 (rounded)Correct choice is B
What is the distance between (4, 6) and (4, -1) ?
7 units
5 units
4 units
I don't know
The distance between points (4,6) and (4,-1) is 7 units.
Given The coordinates of the end points of line (4,6) and (4,-1).
Distance is the measurement about how far things are present on the surface. It is usually calculated in some units known as km, m, etc.
The distance between two points can be calculated as under:
Distance=[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex] where the coordinates are (x1,y1),(x2,y2).
To calculate the distance we need to put the values of coordinates in the formula:
Distance between (4,6) and (4,-1)=[tex]\sqrt{(4-4)^{2} +(-1-6)^{2} }[/tex]
=[tex]\sqrt{(0)^{2}+(-7)^{2} }[/tex]
=[tex]\sqrt{0+49}[/tex]
=[tex]\sqrt{49}[/tex]
=7
Hence the distance between (4,6) and (4,-1) is 7 units.
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Answer:
it would be 7 units :)
Step-by-step explanation: cuz im smart and said so
solve pls brainliest
Answer:
1/4
Step-by-step explanation:
20n=5
n=5/20
n=1/4
therefore, it's 1/4
Answer:
1/4th
Step-by-step explanation:
All we need to do is get the N by itself, and since the 20 is multiplied by the N, we would divide to get rid of it on both sides. then we have n=5/20, and since 5 goes into 20 4 times, we can simplify it to 1/4th.
please mark as brianlest.
what is the square root of 6
PLEASE HELP ME IM NOT GOOD AT MATH
Veronica rolls a six-sided die 28 times.
How many times should she expect the die to land on an even number?
Enter your answer as a number, like this: 42
Answer:
14
Step-by-step explanation:
There are 3 even and 3 odd sides meaning its a 50/50 chance for either to happen each time you roll. This means half of the results are expected to be odd and even.
Of the last 16 contestants on a game show, 12 qualified for the bonus round. Considering this data, how many of the next 12 contestants would you expect to qualify for the bonus round?
Answer:
9 contestants
Step-by-step explanation:
Out of the 16 contestants, 12 of them qualified for the bonus round.
This means, that 12/16, or 75% of the contestants qualified for the bonus round.
Out of the remaining 12 contestants, I would expect (75%)(12), or 9 contestants to qualify for the next bonus round.
Let me know if this helps!
Answer:The answer is 9
Step-by-step explanation:
12 of the 16 contestants on the game show qualified. That is 75% of the contestants. Applying this to the next 12, 12 contestants x 75% is 9 qualifying contestants.
1. During which of the following situations would the government most likely have a
contractionary fiscal policy?
A. when the volume of net exports is unusually low
B. when the economy is in a trough of the business cycle
C. when the inflation rate is negative
D. when the level of economic output is running unusually high
E. when the unemployment rate is running unusually high
2. During a recession, unemployment will ________, tax revenue collected by the
government will ________, and spending by the government will ________.
A. decrease; decrease; decrease
B. increase; increase; decrease
C. decrease; decrease; increase
D. increase; decrease; increase
E. decrease; increase; decrease
3. According to the new classical critique of fiscal policy, why do consumers increase their
savings in response to government spending?
A. They shift their consumption toward more expensive goods, which must be saved up
for.
B. Government spending incentivizes firms to lower prices, which means consumers
spend less.
C. Government spending drives interest rates up and so makes saving more profitable.
D. When workers’ earnings increase, they are able to save a greater percentage of their
total earnings.
E. They believe they will eventually need the saved money when they have to pay
higher taxes.
A situation when the government most likely have a contractionary fiscal policy is D. when the level of economic output is running unusually high.
What is contractionary fiscal policy?Contractionary fiscal policy is when the government collects more money than it spends. This is usually done by increasing taxes and reducing government expenditure.
During a recession, unemployment will increase tax revenue collected by the government will decrease, and spending by the government will increase.
According to the new classical critique of fiscal policy, consumers increase their savings in response to government spending because they believe they will eventually need the saved money when they have to pay higher taxes.
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A password is 4 characters long and must consist of 3 letters and 1 of 10 special characters. If letters can be repeated and the special character is at the end of the password, how many possibilities are there? a. 175,760 b. 456,976 c. 703,040 d. 1,679,616 Please select the best answer from the choices provided A B C D.
The number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040
What is the rule of product in combinatorics?If a work A can be done in p ways, and another work B can be done in q ways, then both A and B can be done in [tex]p \times q[/tex] ways.
Remember that this count doesn't differentiate between order of doing A first or B first then doing other work after the first work.
Thus, doing A then B is considered same as doing B then A
We're specified that:
The password needs to be 4 characters longIt must have 3 letters and 1 of 10 special characters.Repetition is allowed.So, each of 3 characters get 26 ways of being 1 letter. (assuming no difference is there between upper case letter and lower case letter).
And that 1 remaining character get 10 ways of being a special character.
So, by product rule, this choice (without ordering) can be done in:
[tex]26 \times 26 \times 26 \times 10 = 175760[/tex] ways.
Now, the password may look like one of those:
L, L, L, SL, L, S, LL, S, L, LS, L, L, Lwhere S shows presence of special character and L shows presence of letter.
Those 175760 ways are available for each of those four ways.
Thus, resultant number of ways this can be done is:
[tex]175760 \times 4 = 703040[/tex]
Thus, the number of possibilities for constructing the 4 characters long password with specified conditions is given by: Option C: 703,040
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You woke up at 9:00 am 5 hours later still doing school work then you took a nap for 2 hours what time was it is when you woke up
please help!!!! what is the equation for this graph
Answer:
[tex]f(x)=\sqrt[3]{x-2} +1[/tex]
Step-by-step explanation:
Given function for graph: [tex]f(x)=1\sqrt[3]{x-h} +k[/tex]
where (h, k) is the midpoint of the curve.
Therefore, the parent function is [tex]f(x)=\sqrt[3]{x}[/tex]
[tex]f(x)=1\sqrt[3]{x-h} +k[/tex] can be obtained by translating [tex]f(x)=\sqrt[3]{x}[/tex] to [tex]h[/tex] units to the right and [tex]k[/tex] units up
The x and y intercept of [tex]f(x)=\sqrt[3]{x}[/tex] is the origin
Therefore, this graph has been translated 2 units to the right and 1 unit up.
Therefore, [tex]h=2[/tex] and [tex]k=1[/tex]
Substituting these values into the given function:
[tex]\implies f(x)=\sqrt[3]{x-2} +1[/tex]
Proportional ratios : If I mow 75 % of 150 square meters of my grass, how much did I mow?
Answer:
You mowed 112.5 square meters of your grass.
Step-by-step explanation:
First, convert the percentage to a fraction.
75% = 3/4
Then to find 75% of 150, multiply 3/4 and 150.
(3/4) * 150
(3*150)/4
450/4
112.5
We can now say that 75% of 150 is 112.5, meaning you mowed 112.5 square meters of your grass.
Answer:
[tex]\huge\boxed{\sf 112.5 \ m^2\\}[/tex]
Step-by-step explanation:
Grass mowed:
= 75% of 150 m²
[Key: "of" means "to multiply" and "%" means "out of 100"]
[tex]\displaystyle = \frac{75}{100 } \times 150\\\\= \frac{75 \times 15}{10} \\\\= \frac{1125}{10} \\\\= 112.5 \ m^2\\\\\rule[225]{225}{2}[/tex]
4³root192-4³root375 +2³root 24. find the simplify
Answer:
512√3 - 320√15 + 16√6
Step-by-step explanation:
4^3√192 simplified is 64√192. This can be simplified even further to 512√3. 4^3√375 simplified is 64√375, which is 320√15. 2^3√24 simplified is 8√24, which is 16√6. Therefore the answer is 512√3 - 320√15 + 16√6.
A 50 ml IVPB bag of ampicillin 500 mg in normal saline is to be run in over 20 minutes. What is the infusion rate in ml/hr?
Using proportions, it is found that the infusion rate is of 150 ml/hr.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, 50 ml are administered over 20 minutes. How much is administered over one hour = 60 minutes? The rule of three is:
50 ml - 20 min
x ml - 60 min
Applying cross multiplication:
x = 50(60)/20
x = 50(3)
x = 150.
The infusion rate is of 150 ml/hr.
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