List ordered pairs in table, plot points and graphs y=tan(2x)
Answers
Step 1:
Write the function
\(\text{y = tan\lparen2x\rparen}\)Step 2:
Plot the graph for the following ordered pairs:
\(\begin{gathered} \text{x = 0} \\ tan(2x)\text{ = tan\lparen2}\times0)\text{ = tan 0 = 0} \\ x\text{ = }\frac{\pi}{2} \\ tan(2x)=tan(\text{2}\times\frac{\pi}{2})\text{ = tan}\pi\text{ = 0} \\ \text{x = }\pi \\ tan(2x)=tan(\text{2}\times\pi\text{\rparen = tan2}\pi\text{ = 0} \\ x\text{ = }\frac{-\pi}{2} \\ tan(2x)=tan(\text{2}\times\frac{-\pi}{2})\text{ = tan\lparen-}\pi)\text{ = 0} \\ x\text{ = -}\pi \\ tan(2x)=tan(\text{2}\times-\pi)\text{ = tan\lparen-2}\pi)\text{ = 0} \end{gathered}\)Step 3:
Plot the table of the ordered pairs
Step 4:
Use the points to graph the function.
Plot the graph of the function
Related Questions
Two sides of a triangle have lengths 8 and 11. Which inequalities describe the values that possible lengths for the third side?
Answers
The possible lengths for the third side 8² + 11² < x², 8² + 11² = x²
and 8² + 11² ≥ x².
What is the way of classifying a triangle?If a² + b² < c² then it is an acute angle triangle.
If a² + b² = c² then it is a right-angle triangle.
If a² + b² ≥ c² then it is an obtuse angle triangle.
Given, Two sides of a triangle have lengths 8 and 11.
Let, The third side be 'x'.
Therefore, The possible lengths for the third side are,
8² + 11² < x²...(i)
8² + 11² = x²...(ii)
8² + 11² ≥ x²...(iii)
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Which expression is equivalent to the given expression? 2x^2 - 14x - 24
Answers
Answer:
\( 2( {x}^{2} - 7x - 12)\)
Step-by-step explanation:
\( \huge \: 2x^2 - 14x - 24 \\ \huge \: = 2( {x}^{2} - 7x - 12)\)
Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots.
Which is the total weight of the lettuce and carrots in ounces?
10 ounces
12 ounces
40 ounces
72 ounces
Part B
If he eats half of the total, how much did he eat?
2 pounds 4 ounces
1 pound 8 ounces
1 pound 4 ounces
4 pounds 1 ounce
Answers
Answer:
a.40 ounces b.18 and 12 ounces
Step-by-step explanation:
A.40 ounces because 2 pounds into ounces is 32 oz+8 oz=40 oz
b. 2 pounds is 32oz+4oz=36/2=18oz
1 pound 16+8=24/2=12oz
10. Leo runs the 100-meter dash in 19.305
seconds. Explain and show how you can
write an expression in expanded form
for the decimal that shows more than 0
hundredths.
Answers
The expanded form of the expression is 10 + 9 + 0.3 + 0.00 + 0.005
How to write in expanded form ?He runs the 100 meters dash in 19.305 seconds.
Therefore, the seconds he runs the race can be represented in expanded form as follows:
Expanded form is a way to write a number by adding the value of its digits.
We can use a place value chart to think of the value of a number's digits.
Therefore,
19.305 in expanded form is as follows:
19.305 = 10 + 9 + 0.3 + 0.00 + 0.005
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Find the common difference of the sequence 4, 12, 20, ....
Answers
8
In this pattern, we have 4 12 then 20.
We can see that the difference 4 and 12 is 8.
Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.
How many solutions does the system have? y=4x+5−8x+2y=10
Answers
Answer:
Infinitely many.
Step-by-step explanation:
Which equation is correct?
427 × 3 = 400 × 3 + 20 × 3 + 7 × 3
427 × 3 = 400 + 20 × 3 + 7 × 3
427 × 3 = 400 × 3 + 20 × 3 + 7
427 × 3 = 4,000 × 3 + 200 × 3 + 70 × 3
Answers
Answer:
A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3
Step-by-step explanation:
\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)
Therefore, the first option is correct
Francium is an element with a half-life of 22 minutes. 1000 grams of francium is placed into a bowl determine how much Francium (in grams) will be left after 2 hours
Answers
The amount of the element, Francium, that will remain after 2 hours is 31.25 grams.
Half-life problemTo determine how much francium will be left after 2 hours, we need to calculate the number of half-lives that occur within that time period.
Given that the half-life of francium is 22 minutes, we can calculate the number of half-lives in 2 hours (120 minutes):
Number of half-lives = (Total time elapsed) / (Half-life)
Number of half-lives = 120 minutes / 22 minutes ≈ 5.4545
Since we can't have a fraction of a half-life, we take the integer part, which is 5.
Each half-life represents a halving of the amount of francium. So, after 5 half-lives, the remaining amount of francium can be calculated using the formula:
Remaining amount = Initial amount * (1/2)^(Number of half-lives)
Given that the initial amount is 1000 grams, we can calculate the remaining amount after 2 hours:
Remaining amount = 1000 grams * \((1/2)^5\)
Remaining amount ≈ 1000 grams * 0.03125
Remaining amount ≈ 31.25 grams
Therefore, after 2 hours, approximately 31.25 grams of francium will be left.
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4/n = 4/5
Please provide best answer:
A: n = 5
B: n = 5/16
C: n = 3 1/5
D: n = 50
Answers
Answer:
\(\huge\boxed{\sf n = 5}\)
Step-by-step explanation:
\(\sf \frac{4}{n} = \frac{4}{5} \\\\Cross \ Multiplying \\\\n * 4 = 4*5\\\\Divide \ both \ sides \ by \ 4 \\\\\frac{n*4}{4} = \frac{4*5}{4} \\\\n = 5 \\\\\rule[225]{225}{2}\)
Hope this helped!
~AH1807Answer:
n = 5
Step-by-step explanation:
\( \frac{4}{n} = \frac{4}{5} \)
Dividing 4 on both the sides gives ,
\( = > \frac{4}{n} \div 4 = \frac{4}{5} \div 4\)
\( = > \frac{4}{n} \times \frac{1}{4} = \frac{4}{5} \times \frac{1}{4} \)
Cancelling 4 from numerator and denominator from both the sides ,
\( = > \frac{1}{n} = \frac{1}{5} \)
Cross-multiplying the denominators of both sides,
\( = > n = 5\)
Question 4Mple Choice Worth 2 points)
Ares of Polygons and Composite Figures MC)
A composte figure is shown
024413
028.445²
1.15 in
Which of the following represents the total area of the figure?
010 663 ²
034.335 ²
4.6 in.
3h 563
P
Answers
The total area of the composite figure which has triangle and rectangle is 24.41 square inches
The given composite figure has two triangles and one rectangle
Area of rectangle =length × width
=4.6×3.15
=14.49 square inches
Area of left side triangle, it has base of 3.3 in and height 3.15 inches
Area of triangle = 1/2×3.3×3.15
=5.1975 square inches
Area of triangle on right side
Base = 3 in
Height = 6.3-3.15=3.15 in
Area of triangle = 1/2×3×3.15
=4.725 square inches
Total area = 14.49 + 5.1975 + 4.725
=24.41 square inches
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are these answers correct
Answers
Answer:
yes they r
Step-by-step explanation:
................... .
An endangered species of fish has a population that is decreasing exponentially (A - Apekt). The population 5 years ago was 1800. Today, only 800 of the
fish are alive. Once the population drops below 100, the situation will be irreversible. When will this happen, according to the model? (Round to the nearest
whole year.)
O 12 years from today
15 years from today
O 14 years from today
O 13 years from today
Answers
Answer:
13 years.
Step-by-step explanation:
I don't understand the original equation you entered, so I'm going to use another one.
\(A = A_0e^k^t\)
Where A = initial population
A₀ = current population
e = Euler's constant
k = rate of decrease
t = time in years
Let's start off with what we know.
Today there are 800 fish left:
A₀ = 800
There were 1800 fish 5 years ago:
t = -5
A = 1800
The equation now looks like \(1800=800e^-^5^k\)
First we find the rate of decrease.
\(\frac{1800}{800} = e^-^5^k\)
⇒ \(2.25 = e^-^5^k\)
⇒ \(ln(2.25) = -5k\)
⇒\(\frac{ln(2.25)}{-5}\)=k
⇒ k = -0.1621
The question asks when it will drop below 100, so make it equal to 100.
⇒\(100=800e^-^0^.^1^6^2^1^*^t\)
⇒\(100/800=e^-^0^.^1^6^2^1^*^t\)
⇒\(ln(1/8)=-0.1621*t\)
⇒\(\frac{ln(1/8)}{-0.1621}\) = t = 12.821
To the nearest year this is 13.
Which expression is equivalent to StartRoot 8 x Superscript 7 Baseline y Superscript 8 Baseline EndRoot? Assume x greater-than-or-equal-to 0.
x y squared StartRoot 8 x cubed EndRoot
2 x cubed y cubed StartRoot x y squared EndRoot
2 x cubed y Superscript 4 Baseline StartRoot 2 x EndRoot
4 x cubed y Superscript 4 Baseline StartRoot x EndRoot
Answers
The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.
To understand why this is the case, let's break down each expression and simplify them step by step:
StartRoot \(8 x^7 y^8\) EndRoot:
We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.
Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.
(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:
Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.
Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.
Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.
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Suppose the system below is consistent for all possible values of f and g. What can you say about the coefficients c and d? Justify your answer. x1 + 3x2 = f cx1 + dx2 = g
Answers
Answer:
The answer is "\(d \neq 3c,\)f and g are arbitrary".
Step-by-step explanation:
The matrix of the device is increased
\(\left[\begin{array}{ccc}1&3&f\\ c&d&g\\ \end{array}\right]\)
Reduce the echelon row matrix
\(\left[\begin{array}{ccc}1&3&f\\ c&d&g\\ \end{array}\right] \\\\R_1 \leftrightarrow R_2 \\\\\frac{R_2 -1}{C R_1 \to R_2} \sim \left[\begin{array}{ccc} c&d&g\\ 0 & \frac{3c-d}{c}& \frac{cf-g}{c}\\ \end{array}\right]\)
Therefore, if 3c\(\neq\) 0 is d \(\neq\) 3c, the device is valid. Therefore d \(\neq\) are arbitrary 3c, g and f.
The values of the coefficients c and d are 1 and 3, respectively
The system of equations are given as:
\(x_1 + 3x_2 = f\)
\(cx_1 + dx_2 = g\)
From the question, we understand that the system of equations is consistent.
Assume that the system of equations is also dependent, then it means that:
\(c =1\)
\(d =3\)
\(g =f\)
Hence, the values of the coefficients c and d are 1 and 3, respectively
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Which statement is true for all real values of theta?
Answers
Answer:
(a) sec²(θ) -tan²(θ) = 1
Step-by-step explanation:
The identity relation between sec(θ) and tan(θ) is ...
tan²(θ) +1 = sec²(θ)
__
When tan²(θ) is subtracted from both sides of this equation, the result matches the first choice:
sec²(θ) -tan²(θ) = 1
_____
Additional comment
This is a variation of the "Pythagorean" relationship between sine and cosine. There is a similar relation between cot²(θ) and csc²(θ).
\(\sin^2\theta+\cos^2\theta=1\\\\\dfrac{\sin^2\theta}{\cos^2\theta}+\dfrac{\cos^2\theta}{\cos^2\theta}=\dfrac{1}{\cos^2\theta}\qquad\text{divide by $\cos^2\theta$}\\\\\tan^2\theta+1=\sec^2\theta\)
Determine if the ordered pair (-5, -1) is a solution of
2x - 5y = -IL
Show ALL your work here
Answers
Answer:
Step-by-step explanation:
2x - 5y = -11
ordered pair: (-5, -1)
x = -5 y = -1
plug into the equation.
2(-5) - 5(-1) = -11
a negative x a positive = a negative
2 x -5 = -10
a negative x a negative = a positive
-5 x -1 = 5
-10 + 5 = -11
5 ≠ 11
therefore its NOT solution.
help plz i will give extra points!!!
Answers
Answer:
(-2,8)
Step-by-step explanation:
-7x-2y = -2
-6x+8y = 76
Multiply the first equation by 4 to eliminate y
-28x -8y = -8
Then add it to the second equation
-28x -8y = -8
-6x+8y = 76
--------------------
-34x = 68
Divide by -34
-34x/-34 = 68/-34
x = -2
Now substitute back into one of the equations to find y
-6x +8y = 76
-6(-2) +8y = 76
12+8y = 76
Subtract 12 from each side
12+8y-12 = 76-12
8y = 64
Divide each side by 8
8y/8 = 64/6
y=8
(-2,8)
1.Write 32 1/2 in radical form
Answers
Answer:
√32
Step-by-step explanation:
I need help please ASAP ?!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
B because the number line goes from negative 6, -2, and x must be greater than negative 6 but less than or equal to 2
pls anyone help me with this question God PLSSS
Answers
Answer:
(6,4)
Step-by-step explanation:
Hope it helps you.......
Two different students decide to compare their businesses. Scooter makes his own t-shirts,
while Karissa does computer repairs. For both models, x represents the number of sales made
each month and f(x) represents total money for each individual. The two functions below model
their respective businesses:
Scooter: f(x) = 200 + 15x
Karissa: f(x) = 80 + 35x
a. Describe what the slope and y intercept represent for both models based on the context.
Compare the two functions. What is one statement you could say about each?
b.
C.
In one month, Scooter sells 20 shirts. That same month, Karissa does 12 repairs. Who had
the better month?
Answers
a) Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. b) Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
How to Describe what the slope and y intercept represent for both models based on the contexta) In the context of Scooter's business, the slope of the function f(x) = 200 + 15x represents the rate at which the total money earned increases with each additional sale. Each unit increase in x (number of sales) results in an increase of $15 in total money earned. The y-intercept of 200 represents the initial amount of money Scooter already had before making any sales.
In the context of Karissa's business, the slope of the function f(x) = 80 + 35x represents the rate at which the total money earned increases with each additional repair job. Each unit increase in x (number of repairs) results in an increase of $35 in total money earned. The y-intercept of 80 represents the initial amount of money Karissa already had before doing any repair jobs.
Comparing the two functions, Scooter's business has a lower slope of 15 compared to Karissa's business with a slope of 35. This means that Karissa's business earns more money per repair job compared to Scooter's business per t-shirt sale.
b) To determine who had the better month, we need to calculate the total money earned by each individual based on the given sales/repairs.
For Scooter, with x = 20 (number of shirts sold):
f(x) = 200 + 15x
f(20) = 200 + 15 * 20
f(20) = 200 + 300
f(20) = 500
For Karissa, with x = 12 (number of repairs):
f(x) = 80 + 35x
f(12) = 80 + 35 * 12
f(12) = 80 + 420
f(12) = 500
Both Scooter and Karissa earned a total of $500 in that month. Therefore, they had an equal month in terms of total money earned.
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Simplify: 2.4 × 10-4
The four is a exponent
Answers
Answer: 20
Step-by-step explanation:
Multiply 2.4*10-4
Calculate 24-4
the answer is (12x^10000)/5
The final RSVP guest count is 60 people Which catering company will offer the best deal for your family? How much money will your family save by choosing that company
Answers
a) The family's best deal is with Smokey's BBG which charges $780 for 60 guests.
b) Choosing Smokey's BBG over Bennie's BBQ will save (difference) the family $40.
How is the difference or saving determined?The total cost for each company's catering services is worked out using their cost functions.
Smokey's BBG does not charge a fixed cost, unlike Bennie's BBG.
The difference between the total costs of the companies is obtained by subtraction.
The number of guests = 60
Smokey's BBQ Bennie's BBQ
Catering Fees $0 $100
Charge per person $13 $12
The total charge for 60 $780 ($13 x 60) $820 ($100 + $12 x 60)
Difference between the charges = $40 ($820 - $780)
However, using a system of equations we can determine the number of guests that makes the total cost the same for each company as 100.
Thus, comparing the total costs for the two companies shows the difference or cost savings to be gained by the family.
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Question Completion:Smokey's BBQ charges $13 per person while Bennie's BBG charges a $100 catering fee and $12 per person.
90% of 10 is
150% of 20 is
5% of 50 is
there are 10 total Marbles. 40% are white. How many Marbles are white?
Answers
Answer:
9
30
2.5
4
Step-by-step explanation:
I hope you understand cause I did it mentally but if you need and explanation just text here
A newspaper vendor sold 2000 newspapers each at sh.40.He was paid sh.2 per each newspaper as commission.What was the percentage commission.
.
Answers
Answer:
5 percent
Step-by-step explanation:
100/40=2.5
2.5*2=5
use the definition or identities to find the exact value of each of the remaining five trigonometric functions of the acute angle
Answers
The value of Sinθ 1/√197, cos θ = 14/√197, csc θ = H/P =√197, sec θ =√197/14, Cot θ = 14
Trigonometric functions are real functions in mathematics that connect an angle of a right-angled triangle to ratios of two side lengths. They are widely utilised in all geosciences, including navigation, solid mechanics, celestial mechanics, geodesy, and many more.
Trigonometry employs six fundamental trigonometric functions. These ratios are trigonometric functions. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six fundamental trigonometric functions. The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities.
if triangle is form,
Then Perpendicular(P) = 1 and Base(B) = 14
Then Hypotenuse(H) = √(12 + 142)= √197
Then , sin θ = P/H = 1/√197
cos θ = B/H = 14/√197
csc θ = H/P = √197/1 = √197
sec θ = H/B =√197/14
Cot θ = B/P = 14/1 = 14
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The complete question should be:
use the definition or identities to find the exact value of each of the remaining five trigonometric functions of the acute angle, given that tan θ = 1/14 ,
A coach of a baseball team orders hats for
the players on his team. Each hat costs
$9.95. The shipping charge for the entire
order is $5.00. There is no tax on the order.
The total cost of the coach's order is less
than $125.00. Which inequality can be
used to determine the greatest number of
hats, h, the coach orders?
Answers
Answer:
9.95h + 5 ≤ 125
Step-by-step explanation:
let 'h' = number of hats
Write an exponential function in the form y = ab" that goes through points (0,6)
and (2,384).
Answers
A submarine out of death of 2167 feet ascends to a depth of 609ft. How far did the submarine ascend?
Answers
Answer:
A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new ... Roman Civilization began in 508 B.C. and ended in 476 A.D. How long did Roman Civilization last? 476-(-508) = 476+508 = 984 ...
There are 600 cars in the parking lot. The ratio of red cars to white cars is 3:5. How many red cars and how many white cars are there in the parking lot?
Answers
Answer:
225 red cars & 375 white cars
Step-by-step explanation:
According to the specified ratio, there are 225 red cars and 375 white cars in the parking lot.
What is ratio?The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.
given, There are 600 cars in the parking lot. The ratio of red cars to white cars is 3:5. let ratio is in the term of variable x
Thus,
3x + 5x = 600
=> 8x = 600
=> x = 75
Total number of red cars = 3x
Total number of red cars = 3 * 75
Total number of red cars = 225
Total number of white cars = 5x
Total number of white cars = 5*75
Total number of white cars = 375
Therefore, there are 225 red cars and 375 white cars in the parking lot as per the given ratio.
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