Answer: The answer is in the steps
Step-by-step explanation:
M h
15 40
20 45
25 50
30 55
prove that
\(4cot45 ^{2} - 3tan ^{2} 60 + 2sec ^{2}60 = 3\)
help me
Answer:
\(4 \cot {}^{2} (45) - 3 \tan {}^{2} (60) + 2 \sec {}^{2} (60) = 3 \\ \)
\(LHS = 4 \cot {}^{2} (45) - 3 \tan {}^{2} (60) + 2 \sec {}^{2} (60) \\\)
let us first take a look at the values of the trigonometric ratios given in the question so that we get quite clear about what is to be done.
here ,
\( \cot(45) = 1 \\ \\ \tan(60) = \sqrt{3} \\ \\ \sec(60) = 2\)
now ,
we just have to plug in the values considering certain other things given in the question and we're done!
so let's start ~
\(4(1) {}^{2} - 3( \sqrt{3} ) {}^{2} + 2(2) {}^{2} \\ \\ \dashrightarrow \: 4(1) - 3(3) + 2(4) \\ \\ \dashrightarrow \: 4 - 9 + 8 \\\\ \dashrightarrow \: 12 - 9 \\ \\\dashrightarrow \: 3 = RHS\)
hence , proved ~
hope helpful :D
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
complete the synthetic division below
The quotient in polynomial form is C. x² - x ₊ 1.
What is synthetic division?In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.
The given problem is-
-3 | 1 2 -2 3
Using synthetic division method,
-3 | 1 2 -2 3
| -3 3 3
|1 -1 1 6
So, the remainder from the calculation is 6 .
And the quotient polynomial is x² - x ₊ 1.
Hence, the correct answer for the given question is C. x² - x ₊ 1
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According to the general equation for conditional probability, if P(AB) =3/7 and P(B)=7/8,
what is P(AIB)? O A. O B. O c. O D. 16 49 32 24 49
Answer:
(d) 24/49
Step-by-step explanation:
You want to know P(A|B) when P(AB) = 3/7 and P(B) = 7/8.
Conditional probabilityThe general equation for conditional probability tells you ...
P(A|B) = P(AB)/P(B)
P(A|B) = (3/7)/(7/8) = (3/7)·(8/7)
P(A|B) = 24/49
11) Find the doubling time for an amount invested at a growth rate 7% per year compounded continuously.
C) 7.4 years
D) 4.9 years
A) 9.9 years
B) 8.6 years
What is the area of this figure?
15 mm
4 mm
Submit
3 mm
3 mm
5 mm
5 mm
7 mm
8 mm
Write your answer using decimals, if necessary.
square millimeters
Help please will mark brainliest!!!
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Module 3 Mini Project
While there were about 3,000,000 people (about the population of Arkansas)
who visited the zoo last year, the number of people who visited in each
month was different. For example, people are more likely to visit the zoo in
July than they are in January. For that reason, the zoo raises its prices during
the months when there are a lot of visitors (peak season) and lowers its
prices during the months when there are not as many visitors (off season).
During peak season the zoo has about 1,800,000 visitors. Write an
expression to show how much money would be made during peak season
where p is the price of one peak season ticket.
The zoo wants to sell tickets in the off season for half of the price of tickets
in the peak season. Write an expression to show how much money would be
made during the off season where p is the price of one peak season ticket.
To break even the zoo needs to make at least how much money they spent
on the animals. Write and solve an inequality to find out how much the price
of one peak season ticket should be where p is the price of one peak season
ticket. How much should one off season ticket be?
Money made during peak season = 1,800,000 * p
1. Expression for money made during peak season:
During peak season, the zoo has about 1,800,000 visitors. To calculate the money made during peak season, we multiply the number of visitors by the price of one peak season ticket (p):
Money made during peak season = 1,800,000 * p
2. Expression for money made during the off season:
The zoo wants to sell tickets in the off season for half the price of tickets in the peak season. Therefore, the price of one off season ticket would be p/2. To calculate the money made during the off season, we multiply the number of visitors by the price of one off season ticket:
Money made during the off season = 1,200,000 * (p/2) = 600,000 * p
3. Inequality for breaking even:
To break even, the zoo needs to make at least as much money as they spent on the animals. Let's represent the amount spent on animals as A. The money made during peak season plus the money made during the off season should be greater than or equal to the amount spent on animals:
1,800,000 * p + 600,000 * (p/2) ≥ A
Simplifying the inequality:
3,600,000p + 300,000p ≥ 2A
3,900,000p ≥ 2A
Solving for p:
p ≥ (2A) / 3,900,000
This determines the minimum price of one peak season ticket to break even.
The price of one off season ticket would be half the price of one peak season ticket, so the off season ticket should be (p/2).
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Bigco Corporation is one of the nation’s leading distributors of food and related products to restaurants, universities, hotels, and other customers. A simplified version of its recent income statement contained the following items (in millions).
Cost of sales $ 11,571
Income taxes 249
Interest expense 23
Net earnings 1,442
Sales 16,400
Earnings before income taxes 1,691
Selling, general, and administration expense 3,543
Other revenues 428
Total expenses (excluding income taxes) 15,137
Total revenues 16,828
Prepare an income statement for the year ended June 30, current year. (Hint: First order the items as they would appear on the income statement and then confirm the values of the subtotals and totals.)
Step-by-step explanation:
I hope this answer is helpful ):
i need helppp with this question
Answer:
2
Step-by-step explanation:
g/5 - h is equal to 20/5 - 2
equal to 20 divided by 5 is equal to 4(20÷5=4)
then 4minus h which is 4- 2 =2
therefore the answer is 2
I hope this helps you
DC= 10 what is the value of AD
Answer:
where is required question. comment me.
just explain how this is "Reflexive Property" (30 points)!!
The Reflexive Property is a property of equality that states that anything is equal to itself. This property is true for numbers, shapes, angles, and more.
In the context of geometry, the Reflexive Property of Congruence states that any geometric figure is congruent to itself. This includes angles, segments, triangles, and other polygons.
So, when you see "<J ≅ <J", it's saying that angle J is congruent to angle J, which is an application of the Reflexive Property. In other words, any angle is congruent (equal in measure) to itself.
I couldn’t solve this and I was very confused, if anyone can please help me on this I will appreciate it, thank you so much
It is due tomorrow
no 1) what is the square root of 2? it's about 1.5
no 2) pi is 3.14 blah blahblah so just put somewhere around 3
no 3) do square root of 11, it's about 3.3 so put it a tiny bit after no 2.
all of these will be after the 0, not before because theyre positive
hope this helps x
Could u please help me to get the answer
Answer:
6 6/7
Step-by-step explanation:
You want the expected value of a spinner to be 3.5, when it has a 90° section valued at 4, a 60° section valued at -9, and the remaining section valued at x.
Expected valueThe expected value of the spinner is the sum of the section values, each multiplied by its probability. The 360° of the spinner have a probability of 1, so the probability of a section is its degree measure divided by 360°.
expected value = 4(90/360) +(-9)(60/360) +x((360 -90 -60)/360)
3.5 = 1 -3/2 +7x/12
42 = -6 +7x . . . . . . . . . multiply by 12
48 = 7x . . . . . . add 6
x = 48/7 = 6 6/7
The value of x so the expected value of the spinner is 3.5 is 6 6/7.
__
Additional comment
The unfortunate line break in the problem statement means the problem is a bit ambiguous. We assume the desired expected value is 3.5. If it is 3, then the value of x needs to be 6. (If the expected value is 3, then we don't know the meaning of the "5." on the second line.)
When writing a proof, how do you construct the first statement?
A) By writing the justification for the first statement in the right column.
B) By copying the “prove” statement(s) from the original problem.
C) By writing the next logical statement from the current one.
D) By copying the “given” statement(s) from the original problem.
When writing a proof, you should construct the first statement by copying the “prove” statement(s) from the original problem. The Option B is correct.
How should you construct the first statement in a proof?When constructing the first statement in a proof, it is important to begin with copying the “prove” statement(s) from the original problem. This involves writing the next statement based on the given or previously proven statements.
It is not helpful to write a justification for the first statement in the right column without considering its logical connection to the problem. By beginning with a logically connected statement, the proof can proceed in a clear and organized manner which leads to a valid conclusion.
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We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?
A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated
By answering the presented question, we may conclude that In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.
what is a square?According to Euclidean geometry, a square is an equilateral quadrilateral having four equal sides and four equal angles. It is often referred to as a rectangle with two nearby sides of equal length. A square is an equilateral quadrilateral because it has four equal sides and four equal angles. Square angles are 90-degree or straight angles. Also, the diagonals of the square are evenly spaced and divide at a 90-degree angle. an adjacent rectangle with two equal sides. a quadrilateral with four equal-length sides and four right angles. A parallelogram with two adjacent, equal sides forming a right angle. A rhombus with straight sides.
To determine the answer, multiply the areas of the shaded squares by the overall area of the figure.
Assuming that both squares are the same size, we may combine the fractions using a common denominator:
2/12 + 2/15 = 5/60 + 4/60 = 9/60 = 3/20
As a result, the entire shaded area is 3/20 of the total area of the diagram.
We can't discover the exact area of the graphic because it's not presented. As a result, we can only represent the answer in fractions or decimals.
In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.
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Brand A has a box of 25 forks for 1.99 and Brand B has a box of 42 totals for 3.89. What is the unit price for each brand and what brand is a better buy based on unit price
Answer:
Brand A
Step-by-step explanation:
Brand A has a box of 25 forks for 1.99
Take the price per fork
1.99 /25 = .0796
.08 per fork
Brand B has a box of 42 totals for 3.89
3.89 / 42
.092319048
.09 per fork
Mr. Witherspoon's fifth grade class was on the
playground. Billy was told to stand still.
Mr. Witherspoon had Rosey stand 10 feet from
Billy. The rest of the class was also told to stand
10 feet from Billy. What shape did the positions of
the class form in relation to Billy?
The location of the circumference of a circle is the set of points that are equidistant from a given point
The shape formed by the rest of the class in relation to Billy is the shape of a circleReason:
Given information;
The distance of Rosey from Billy = 10 feet
The distance of the rest of the class from Bill = 10 feet
Required:
The shape the positions of the class formed in relation to Billy
Solution;
The distance from Billy to each pupil in the class is equal, (10 feet), therefore, Billy is at a central position to the rest of the class
Therefore, the shape that the rest of the class form in relation to Billy is a figure that has Billy as the center or centroid
If the number of pupils in the class is sufficiently, large, the shape formed will be a circle, given that a circle is formed by the set of points that have equal distance from a particular points
Therefore, the shape formed by the rest of the class in relation to Billy is the shape of a circle
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Consider the line y = 2/3x-4
A line parallel to the graph of the line would have a slope of
A line perpendicular to the graph of the line would have a slope of
Answer:
For the parallel line it will still have a slpoe of 2/3
Step-by-step explanation:
as for the perpendicular line it will be double like 4/6 so it can meet it at a 90° angle.
Your swimming pool containing 65,000 gal of water has been contaminated by 7 kg of a nontoxic dye that leaves a swimmer's skin an unattractive green. The pool's filtering system can take water from the pool, remove the dye, and return the water to the pool at a flow rate of 200 gal/min. Assume that the dye is uniformly distributed throughout the pool.
(a) What is the initial value problem for the filtering process?
(b) You have invited several dozen friends to a pool party that is scheduled to begin in 4 h. You have determined that the effect of the dye is imperceptible if its concentration is less than 0.03 g/gal. Is your filtering system capable of reducing the dye
concentration to this level within 4 h?
Answer:
a) \(a(t)=7e^{\frac{-t}{325} }\)
b) it is noticeable
Step-by-step explanation:
a) Let a(t) be the amount of die at time t. a is in kg and t is in minutes. Therefore:
\(\frac{da}{dt} =\frac{-a(t)}{65000}*\frac{200gal}{1 min}=\frac{-a}{325}\\\frac{da}{a} =\frac{-1}{325} dt\\\int\limits{\frac{1}{a} } \, da =\int\limits{\frac{-1}{325} } \, dt\\ln(a)=\frac{-1}{325} t+c\\a=ce^{\frac{-t}{325} }\\at\ t=0, a=7\\ 7=ce^0\\c=7\\a(t)=7e^{\frac{-t}{325} }\)
b) 4 hrs = (4 * 60) min = 240 min
\(a(t)=7e^{\frac{-t}{325} }\\a(240)=7e^\frac{-240}{325} = 3.345kg\)
3.345 kg = (3.345 * 1000 / 60000) g/gal = 0.0557 g/gal
0.0557 g/gal > 0.03 g/gal, therefore it is noticeable
What relationships are equivalent to |3x-9|-24=-12?
The equivalent relationships of the function are 3x - 9 = 12 and 3x - 9 = -12
How to determine the equivalent relationship?From the question, we have the following parameters that can be used in our computation:
|3x-9|-24=-12
The above equation is an absolute value function
So, we start by representing the equation properly
So, we have the following representation
|3x - 9| - 24= -12
Add 24 to all sides of the equation
|3x - 9| = 12
Remove the absolute bracket
So, we have
3x - 9 = 12 and 3x - 9 = -12
Add 9 to all sides of the equation
3x = 21 and 3x = -3
Divide through the equations by 3
x = 7 and x = -1
Hence, the representations are 3x - 9 = 12 and 3x - 9 = -12 and the solutions are x = 7 and x = -1
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evaluate the fermi function for an energy KT above the fermi energy. find the temperature at which there is a 1% probability that a state,
Complete Question
Evaluate the Fermi function for an energy kT above the Fermi energy. Find the temperature at which there is a 1% probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron.
Answer:
a
The Fermi function for the energy KT is \(F(E_o) = 0.2689\)
b
The temperature is \(T_k = 1261 \ K\)
Step-by-step explanation:
From the question we are told that
The energy considered is \(E = 0.5 eV\)
Generally the Fermi function is mathematically represented as
\(F(E_o) = \frac{1}{e^{\frac{[E_o - E_F]}{KT} } + 1 }\)
Here K is the Boltzmann constant with value \(k = 1.380649 *10^{-23} J/K\)
\(E_F\) is the Fermi energy
\(E_o\) is the initial energy level which is mathematically represented as
\(E_o = E_F + KT\)
So
\(F(E_o) = \frac{1}{e^{\frac{[[E_F + KT] - E_F]}{KT} } + 1}\)
=> \(F(E_o) = \frac{1}{e^{\frac{KT}{KT} } + 1}\)
=> \(F(E_o) = \frac{1}{e^{ 1 } + 1}\)
=> \(F(E_o) = 0.2689\)
Generally the probability that a state, with an energy 0.5 eV above the Fermi energy, will be occupied by an electron is mathematically represented by the Fermi function as
\(F(E_k) = \frac{1}{e^{\frac{[E_k - E_F]}{KT_k} } + 1 } = 0.01\)
Here\(E_k\) is that energy level that is 0.5 ev above the Fermi energy \(E_k = 0.5 eV + E_F\)
=> \(F(E_k) = \frac{1}{e^{\frac{[[0.50 eV + E_F] - E_F]}{KT_k} } + 1 } = 0.01\)
=> \(\frac{1}{e^{\frac{0.50 eV ]}{KT_k} } + 1 } = 0.01\)
=> \(1 = 0.01 * e^{\frac{0.50 eV ]}{KT_k} } + 0.01\)
=> \(0.99 = 0.01 * e^{\frac{0.50 eV ]}{KT_k} }\)
=> \(e^{\frac{0.50 eV ]}{KT_k} } = 99\)
Taking natural log of both sides
=> \(\frac{0.50 eV }{KT_k} } =4.5951\)
=> \(0.50 eV =4.5951 * K * T_k\)
Note eV is electron volt and the equivalence in Joule is \(eV = 1.60 *10^{-19} \ J\)
So
\(0.50 * 1.60 *10^{-19 } =4.5951 * 1.380649 *10^{-23} * T_k\)
=> \(T_k = 1261 \ K\)
Three students are working to find the solution set of this system of equations:
3y = 6x + 6
y = 2x + 2
Use the drop-down menus to complete the statements about each of their methods.
Pedro Dropdown 1: Intersect, Do not Intersect, Are the same line.
Pedro Dropdown 2: One, Zero, Infinitely many
Amy Dropdown: is, is not
Matt Dropdown 1: Sometimes, Never, Always
Matt Dropdown 2: One, Zero, Infinitely Many
Answer:
Pedro Dropdown 1: they Do not Intersect, they Are the same line
Step-by-step explanation:
3y = 6x + 6
y = 2x + 2
3y-6x = 6... Equation one
y-2x = 2... Equation two
Dividing equation one by 3 gives
Y -2x = 2. Which is same thing with equation 2
So I think the two are same line and do not intersect.
Answer:
Pedro: are the same line, infinitely many
Amy: is
Matt: always, infinitely many
Step-by-step explanation:
PEDRO: Since the lines are on top of one another, there are infinitely many solutions. These lines are called coinciding lines.
AMY: 3y = 6x + 6 is a multiple of y = 2x + 2. When one equation is a multiple of the other, there are infinitely many solutions to the system.
MATT: When the equation 3y = 6x + 6 is divided by 3, the quotient is equal to the first equation. The equations are equivalent, so they describe the same graphed line.
Find the quotient for 3/2 divided by 3/5
Answer:
2.5
Step-by-step explanation:
Answer:
5/2
Step-by-step explanation:
To divide fractions, you flip the second fractions and change it to multiplication.
(3/2) / (3/5) =
(3/2) x (5/3)
To multiply them, you just multiply their numerators together to get the new numerator and multiply the denominators together to get the new denominator.
(3/2) x (5/3) =
(3 x 5) / (2 x 3) =
15/6
This can be reduced to:
5/2
Is 0.8 equivalent to a. 8/12, b. 5/8, c. 2/3, d. 7/50, e. 4/5, f. 5/3, g. 19/25, h. 1/3, i. 2/9, j. 1/33, k. 4/9
Answer:
g. 19/25
Step-by-step explanation:
19/25 = .76, or approximately .8 -- none of the other options come as close as option g.
Evaluate
[2- |-2/3 -2(-1/5)|] (-13)
What is the value of the expression?
Enter your answer as a simplified fraction in the box.
Answer: the answer - 2/15
Step-by-step explanation: i took the test
The value of the expression [2- |-2/3 -2(-1/5)|] ÷ (-13) is -2/15
What is an expression?Numbers, symbols and operators grouped together that show the value of something.
Given that an expression [2- |-2/3 -2(-1/5)|] ÷ (-13)
[2- |-2/3 -2(-1/5)|] ÷ (-13)
= [2 - 4/15]/ (-13)
= 26/15*1/(-13)
= -2/15
Hence, The value of the expression [2- |-2/3 -2(-1/5)|] ÷ (-13) is -2/15
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Which value for p makes the expressions 9p - 5 and (3 + p) 5 equivalent?
7
6
4
5
1
10
Answer:
numbers dont do into math please move this to englash
Step-by-step explanation:
it posted Wong
Use what you have learned about filing income taxes to complete these sentences.
Citizens file income taxes to ensure that they will receive a
if they paid too much in taxes throughout the year.
Employers supply a
to help citizens file their tax returns.
Taxes returns can by filed either by mail or
.
Using my learning about filing income taxes to complete the following sentences is:
1) Citizens file income taxes to ensure that they will receive a refund if they paid too much in taxes throughout the year.
2) Employers supply a W-2 form to help citizens file their tax returns.
3) Taxes returns can be filed either by mail or online.
What are income taxes?Income taxes are compulsory levies that governments make on the incomes and profits of employees, businesspersons, and entities within their jurisdictions.
Individuals use W-2 forms to file their tax returns. The W-2 form shows an individual's total earnings and tax withholdings.
Thus, taxes returns by individuals and entities are filed either by mail or online (electronically).
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PLEASE HELP!!!!!!
The box plot displays the number of flowers planted in a town last summer.
10
Flowers Planted In Town
13 14 15 16 17 18 19 20 21 22 23 24
Number of Flowers
Which of the following is the best measure of center for the data shown, and what is that value?
O The mean is the best measure of center and equals 12.
O The mean is the best measure of center and equals 10.
The median is the best measure of center and equals 12.
30 31
The median is the best measure of center and equals 10.
The best measure of center for the data shown is the median, and its value is 17.
The median is the best measure of center for the given data set. To find the median, we arrange the numbers in ascending order:
10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24
Since the data set has an odd number of values, the median is the middle value, which in this case is 17.
Therefore, the best measure of center for the data shown is the median, and its value is 17.
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where should the graph of the line y=2x - 2 intersect the y axis
The graph of the line y = 2x - 2 intersects the y-axis at the point (0, -2).
Calculating where the graph intersects the y-axisGiven that we have the following equation
y = 2x - 2
The equation of a straight line in the standard form is y = mx + c, where m is the slope of the line, and c is the y-intercept. The y-intercept is the point at which the line intersects the y-axis.
The equation of the line is y = 2x - 2. To find where the line intersects the y-axis, we need to set x = 0 and solve for y.
So, when x = 0, we get:
y = 2(0) - 2
y = -2
Therefore, the line intersects the y-axis at the point (0, -2).
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User=2 anor=5 to determine if the two expressions
are equivalent
1+2+)-12 8+2-6
Complete the statements
When r=2 the first expression is
When r=2 the second expression is 6
When r=5, the first expression is 21
When r=5. the second expression is
The expressions are not equivalent
Answer:
12x+4x-7y+45b+78a-44b+1a+1z+0d+1.1a+1.1a+2+2+2