Answer:
1.732050808
Step-by-step explanation:
https : // www. desmos. com/ scientific
EDIT square root of 3
The exact value of tan240° is the same as tan60° because of the periodicity of the tangent function and the fact that 240° lies in the third quadrant of the unit circle. The value of tan60° is √3 or about 1.732.
To find the exact value of tan240°, we should recall that the tangent function is periodic with a period of 180°, meaning tan(θ) is the same as tan(θ + 180°). Also, in the unit circle, 240° lies in the third quadrant, where tangent values are positive because both sine and cosine are negative. Therefore, tan240° is the same as tan(240° - 180°), which is tan60°. The exact value of tan60° is √3) or approximately 1.732. This calculation leverages trigonometric principles and the geometric interpretation of angles on the unit circle, demonstrating how to derive accurate values for trigonometric functions in specific angular contexts.
find any points of discontinuity for y=x^2/x^2+1
Answer:
The function is continuous for all real numbers
Step-by-step explanation:
We have the following function
[tex]y=\frac{x^2}{x^2+1}[/tex]
Note that the denominator of the function is:
[tex]x^2 +1[/tex]
This expression is different from zero for all real numbers, since for [tex]x^2 +1[/tex] then [tex]x^2 =-1[/tex], there is no number in the real numbers whose square root is equal to -1.
For this reason the function is defined for all real numbers and has no discontinuity.
This function is always positive, continuous and has horizontal asymptote
[tex]y = 1[/tex]
Observe the attached image
Suppose you were designing a line graph that was going to be printed in Time magazine. Your editor has warned against misleading your audience in any way. What items will you try to avoid when creating your graph?
I would try to avoid unclear statements about the graph and make sure it's clear enough for audience. Also not to use items that bleed through paper.
Answer: Always avoid doing unnecessary things. like changing the zero or using logarithmic scale (and if you use them, mention it), if the graph contains more than one line, then use different colors or dots and label every line.
Also, comparative graphs should always be in the same scale.
what are solutions to this equation, x^2 + 3x -4 >0
Answer:
Solution of equation :-
x = 1 or x = -4
Step-by-step explanation:
The given quadratic equation is x² + 3x - 4 = 0
To find the solution
Using splitting method
x² - x + 4x - 4 = 0
x(x - 1) + 4(x - 1) = 0 (take x and 4 as common)
(x - 1)(x + 4) = 0
(x - 1) = 0 or (x + 4)= 0
If x - 1 = 0 then x = 1
If x + 4 = 0 then x = -4
which of the following describes the graph of
y = -x^2 + 3x + 10
A| The graph has zeroed at x = -2 and x= 5 and it opens downward.
B| The graph has zeros at x = 2 and x = -5 and it opens upward
C| The graph has zeroed at x = 2 and x = -5 and it opens downward
D| the graph has zeroed at x = -2 and x = 5 and it opens upward
The answer is D because that’s the answer lol
The sum of all the digits used to write the whole numbers 10 through 13 is $1 + 0 + 1 + 1 + 1 + 2 + 1 + 3 = 10$. what is the sum of all the digits used to write the whole numbers 1 through 110, inclusive?
First get the sum of digits 0 through 9: 0+1+2+...+9=45. Call this sum S for short.
Then notice that the sum of the digits for 10 through 19 is the sum S + 10.
Then notice that the sum of digits 20 through 29 is S + 20, and do so until you hit 100. 100 through 109 is the same as 10 though 19 which you know is S + 10, and finally add the sum of digits of 110, i.e., 2.
Total = S + (S + 10) + (S + 20) + ... + (S + 90) + (S + 10) +2 =
= 11 * S + 10 * (S + 1) + 2 = 11 * 45 + 10 * 46 + 2 = 957
Answer:
957
Step-by-step explanation:
We first calculate the sum of all digits used to write the whole numbers 0 through 99. If we consider all such numbers as two-digit (e.g. write 04 instead of 4), the sum of digits will be unchanged. Then we see that each digit appears an equal number of times in the ones place, and similarly for the tens place, meaning it appears a total of $2\cdot \frac{100}{10} = 20$ times. Thus the sum of all digits used to write the whole numbers 00 through 99 is $20\cdot (0 + 1 +\cdots + 8 + 9) = 900$. The sum of the digits from 100 to 110 is just $(1 + 0) + (1 + 1) + (1 + 2) + \cdots + (1+9) + 2 = 57$. Thus our final answer is $900 + 57 = \boxed{957}$.
A rectangular prism has a volume of 175 cubed inches. The height of the prism is 7 inches. The base is a square. What is the length of a side of the base?
Answer:
The length of a side of the base is [tex]5\ in[/tex]
Step-by-step explanation:
we know that
The volume of a rectangular prism is equal to
[tex]V=Bh[/tex]
where
B is the area of the base of the prism
h is the height of the prism
we have
[tex]V=175\ in^{3}[/tex]
[tex]h=7\ in[/tex]
Substitute the values and solve for B
[tex]175=B(7)[/tex]
[tex]B=175/(7)[/tex]
[tex]B=25\ in^{2}[/tex]
Remember that the base is a square
so
[tex]25=b^{2}[/tex]
[tex]b=5\ in[/tex]
Find the solution set of this system:
y=−3x
x2−4=y
(4,12), (−1,3)
(−1,−3) only
(4,12) only
(−4,12), (1,−3)
Answer:
(−4, 12), (1, −3)
Step-by-step explanation:
y = −3x
x^2 −4 = y
so
x^2 −4 = −3x
x^2 + 3x - 4 = 0
(x + 4)(x - 1) = 0
x + 4 = 0; x = -4
x - 1 = 0; x = 1
when x = 1, y = -3(1) = -3
when x = -4, y = -3(-4) = 12
Answer
(-4 , 12), (1 , -3)
ANSWER
(−4,12), (1,−3)
EXPLANATION
The system has equations:
y=−3x
[tex] {x}^{2} - 4 = y[/tex]
We equate the two equations to get:
[tex] {x}^{2} - 4 = - 3x[/tex]
[tex]{x}^{2} + 3x - 4 = 0[/tex]
[tex]{x}^{2} + 4x - x - 4 = 0[/tex]
[tex]x(x + 4) - 1(x + 4) = 0[/tex]
[tex](x + 4)(x - 1) = 0[/tex]
[tex]x = - 4 \: or \: x = 1[/tex]
When x=1,
y=-3(1)=-3
when x=-4, y=-3(-4)=12
The solution is (1,-3) and (-4,12)
Please help me fill in the blank with the correct word from each statements' parentheses:
1. In an observational study, randomization of subjects _____ (occurs, does not occur).
2. A survey makes inferences about a population from_____ (a sample, a study, an experiment) of the population.
3. In an experiment, a treatment is imposed on those being studied to discern any differences in____ (a control, a response, an independent) variable.
Answer:
1. does not occur
2. a sample
3. an independent
Step-by-step explanation:
The correct answer for this question would be Occurs, Sample and an independent variable.
What is meant by survey?A survey is a type of research that involves gathering data from a predetermined group of people in order to get knowledge and insights about a variety of issues.
1) In an observational study, randomization of subjects has to occur to get a lot of diverse information from all the participants.
2) In a survey, randomly a sample is chosen from the population and all the inferences about the population are made from studying this sample only.
3) In a survey a treatment is imposed on all the participants so as to neutralize all the qualities they have which are quite different from the others.
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At the foootball game 8 1/5 of the fans wore team T-shirts.Of those wearing team T-shirts,1/4 also wore team hats.Wgat fraction of the fans at the football game wore both a team T-shirts and team hat?
Answer:
The fraction of the fans at the football game that wore both a team T-shirts and team hat is [tex]2\frac{1}{20}[/tex]
Step-by-step explanation:
Let
x----> total fans
we know that
[tex]8\frac{1}{5}x[/tex] ----> wore team T-shirts
Convert to an improper fraction
[tex]8\frac{1}{5}x=8\frac{8*5+1}{5}=\frac{41}{5}x[/tex]
Multiply by 1/4
[tex]\frac{41}{5}x*\frac{1}{4}=\frac{41}{20}x[/tex]
convert to mixed number
[tex]\frac{41}{20}x=\frac{40}{20}+\frac{1}{20}=2\frac{1}{20}x[/tex]
therefore
The fraction of the fans at the football game that wore both a team T-shirts and team hat is [tex]2\frac{1}{20}[/tex]
A computer room has 12 computers. The room is open for 4 hours each day. 25 students sigh up for computer time. Each student gets the same number of minutes. What is the graetest whole number of minutes each student can get?
Answer:
155 minutes
Step-by-step explanation:
1. Find the total available "computer time": 4 hours * 12 computers= 48 hours
2. Split this among all of the students: 48 hours/25 students= 1.92 hours
3. Convert to minutes: 1.92 hr/student * 60 minutes ≈ 155 minutes/student
what is 3053.63 rounded to the nearest hundredth?
3053.63 is already rounded to the nearest hundredth
After rounded to the nearest hundredth, then the number will be the same as 3053.63 because it is already rounded off.
What is rounding off number?Rounding is a method of converting a large number to a smaller, simpler number that is very near to the original. There are numerous methods for rounding numbers.
We have number:
= 3053.63
It has total 4 digits before the decimal.
After the decimal has only two digits
After rounded to the nearest hundredth, then the number will be the same as 3053.63 because it is already rounded off.
Thus, after rounded to the nearest hundredth, then the number will be the same as 3053.63 because it is already rounded off.
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Express the following relationship as a rate. Washing 24 cars in 4 hours
A.) 4 cars per minute
B.) 8 cars per hour
C.) 6 cars per minute
D.) 6 cars per hour
Answer:
D.) 6 cars per hour
Step-by-step explanation:
6 cars washed on each our which we got 4 hours
Multiply it 6 x 4= 24
Answer:
D.) 6 cars per hour
Step-by-step explanation:
A bicycle manufacturer uses the given expression to model the monthly profit from sales of a new model of bicycle, where x is the selling price of one bicycle, in dollars. At what selling prices for the bicycle will the manufacturer make neither a profit nor a loss?
Answer:
The manufacturer will have no profit or loss when the selling price equals $200 or $100.
Step-by-step explanation:
The expression to model the monthly profit from sales of a new model of bicycle is
-x^2 + 300x -20,000
Let
f(x) -----> the monthly profit in dollars
x -----> s the selling price of one bicycle in dollars
[tex]f(x)= -x^{2}+300x-20,000[/tex]
we know that
The manufacturer will make no profit nor a loss when the profit is equal to zero
so
f(x)=0
[tex]-x^{2}+300x-20,000=0[/tex]
Multiply by -1 both sides
[tex]x^{2}-300x+20,000=0[/tex]
The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]a=1\\b=-300\\c=20,000[/tex]
substitute in the formula
[tex]x=\frac{300(+/-)\sqrt{-300^{2}-4(1)(20,000)}}{2(1)}[/tex]
[tex]x=\frac{300(+/-)\sqrt{10,000}}{2}[/tex]
[tex]x=\frac{300(+/-)100}{2}[/tex]
[tex]x=\frac{300(+)100}{2}=200[/tex]
[tex]x=\frac{300(-)100}{2}=100[/tex]
therefore
The manufacturer will have no profit or loss when the selling price equals $200 or $100.
To find the selling prices at which the manufacturer will make neither a profit nor a loss, set the profit expression equal to zero and solve for x, giving a selling price of $5.
To determine the selling prices at which the manufacturer will make neither a profit nor a loss, we set the profit expression equal to zero:
0 = 100x - (500 + 20x)
Solving for x, we get x = 5. This means the selling price for the bicycle to break even is $5.
The quotient of a numder and -5 is 6. what is the number?
Answer:
B
Step-by-step explanation:
Make an equation.
[tex]\frac{x}{-5}=6[/tex]
[tex]x=-30[/tex]
Answer:
B, -30
Step-by-step explanation:
I need help with these 2 questions on geometry PLEASE!!
Answer:
13. 26
14. The answer is 71
need help now will mark brainlyst answer quick
Describe how to use unit pricing to decide which is the better buy between 5 lbs of chicken for $14.95 or 8 lbs for $23.36.
Answer:
The 8 lbs for 23.36
Step-by-step explanation:
First you divide the total cost by how many lbs
This will provide you with the cost per pound to get your answer
14.95 / 5 = 2.99 or $2.99 a pound
23.36 / 8 = 2.92 or $2.92 a pound
Therefore it is better to but the 8 lbs for 23.36
Answer:
All you have to do is divide 14.95 by 5 and divide 23.36 by 8.
Step-by-step explanation:
the first option is 2.99 per pound,
the second is 2.92 so the second choice is the better option.
PLZ brainliest!!
Amelia ran a total of 60 miles in the first 3 months of her new running program. She ran equal distances in the first and second months, but ran twice that distance in the third month. How far did she run in the third month?
15 miles
20 miles
40 miles
30 miles
she ran 15 miles in the first month and 15 in the second but because it doubled in the third month she ran 30 miles. 15+15+30=60 miles total
Gabriella bought a pile of brick wall. Yesterday , she used 5/8 of the bricks. Tommrow she plans to use another 1/4 of the brick wall. what fraction of brick pile will she have left after tommrow
You could turn the 1/4 into 2/8 to make it have a common denominator. When you add 2/8 and 5/8 you’ll obviously get 7/8. She’ll only have 1/8 left.
Hoped this helped
You pick two marbles from a bag and record their color. How can you make your selections independent events? Dependent events?
A. Do not replace marbles after picking them; do replace marbles.
B. Replace marbles after picking them; do not replace marbles.
a do not replace marbles after picking them;do replace marles
For independent events in probability, you should replace the marbles after picking them, as this keeps the likelihood of each draw the same. For dependent events, do not replace the marbles after picking them, as each draw influences the subsequent draws.
Explanation:The concept being discussed here is that of independent and dependent events in probability. When selecting marbles from a bag, the nature of the event (whether it is independent or dependent) depends on whether the marble is replaced after being selected or not.
To make your selections independent events, you should replace the marbles after picking them. This assumes that each event (the selection of a marble) does not affect the outcome of the other events. For example, if you picked a blue marble first and replaced it, the likelihood of picking a blue marble on the second draw remains the same.
On the other hand, to create dependent events, you should not replace the marbles after picking them. The outcome of the first event (e.g., removing a blue marble) directly influences the probability of the next event, because there is now one less blue marble in the bag to choose from.
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For each trial of a binomial experiment, there are two mutually exclusive outcomes:------------------------or------------
Answer:
The underlying assumptions of the binomial distribution are that there is only one outcome for each trial, that each trial has the same probability of success, and that each trial is mutually exclusive, or independent of each other.
Step-by-step explanation:
Verify each identity.
I need help with the Precalculus.
1)
[tex]\bf \cfrac{cot(x)}{sin^2(x)}=\cfrac{csc^2(x)}{tan(x)} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{~~\frac{cos(x)}{sin(x)}~~}{\frac{sin^2(x)}{1}}\implies \cfrac{cos(x)}{sin(x)}\cdot \cfrac{1}{sin^2(x)}\implies \cfrac{cos(x)}{sin^3(x)}~\hfill \textit{doing the left-hand-side} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{~~\frac{1}{sin^2(x)}~~}{\frac{sin(x)}{cos(x)}}\implies \cfrac{1}{sin^2(x)}\cdot \cfrac{cos(x)}{sin(x)}\implies \cfrac{cos(x)}{sin^3(x)}~\hfill \textit{doing the right-hand-side}[/tex]
2)
[tex]\bf \cfrac{cos^2(x)+tan(x)}{sec(x)}=cos^3(x)+sin(x) \\\\[-0.35em] ~\dotfill\\\\ \cfrac{~~cos^2(x)+\frac{sin(x)}{cos(x)}~~}{\frac{1}{cos(x)}}\implies \cfrac{~~\frac{cos^3(x)+sin(x)}{cos(x)}~~}{\frac{1}{cos(x)}}~\hfill \textit{doing the left-hand side} \\\\\\ \cfrac{cos^3(x)+sin(x)}{\underline{cos(x)}}\cdot \cfrac{\underline{cos(x)}}{1}\implies cos^3(x)+sin(x)[/tex]
Determine the reactions at the supports of the beam which is loaded as shown.
As shown... where? I have no idea what you are talking about or referencing to.
The question pertains to engineering, specifically, the equilibrium of beams and structures in statics. Analyzing the forces and torques using equilibrium conditions enables us to determine the support reactions of these structures.
Explanation:The question involves determining the reactions at the supports of different structures, which is a common problem in statics, a branch of engineering mechanics. This type of problem is typically solved using the principles of equilibrium, where the sum of forces and the sum of moments (torques) about any point must be zero. For beams, bridges, and other structures, the following steps are generally taken:
Determine the support reactions by applying the conditions for equilibrium: the sum of vertical forces, sum of horizontal forces, and sum of moments (about a point) must each equal zero.In cases of structures such as doors, we resolve the forces into their component parts (e.g., Ax, Ay, Bx, By) and use the equilibrium conditions to solve the unknowns.For objects like a meter stick with multiple forces acting upon it, including weights and support reactions, the pivot point is selected, and the equilibrium conditions are again applied.Working through these problems requires a systematic approach and the application of physics and engineering principles to find the forces and torques on the system.
only 2 stuff to do .... :3
Tina designed an electric skateboard that has a speed of 4 miles per hour. She wants to write a function that represents the distance the skateboard will travel over a given amount of time.
Which is the dependent variable in this scenario?
the skateboard
the speed
the distance traveled
the time traveled
Answer:
the distance she travel
trust me
Answer:
doin this so other guy can get brainliest
Step-by-step explanation:
Which value is the best estimate for the correlation coefficient of the data set?
Answer: The answer is D -0.5
Step-by-step explanation:
First off you can cross out A and B because they are zero and a positive because the line has a negative slope. So that leaves you with C, D, and E. C is close to zero so the plot would be pretty scattered about. D is an in between answer because it isn’t quite a strong correlation or a weak one. Finally E is close to -1 so it is a strong correlation.
Answer: The answer is D -0.5
Step-by-step explanation:
First off you can cross out A and B because they are zero and a positive because the line has a negative slope. So that leaves you with C, D, and E. C is close to zero so the plot would be pretty scattered about. D is an in between answer because it isn’t quite a strong correlation or a weak one. Finally E is close to -1 so it is a strong correlation.
Sabrina threw a coin from a building 160ft high at an initial speed of 30 feet per second. How many seconds will it take for the coin to hit the ground?
Hope I get an answer with solutions! :))
Answer:
4.2
Step-by-step explanation:
The equation i used was -16t^2+30x+160
What type of angle is formed when the radius and a tangent intersect at the points of tangency?
A. Right
B. Straight
C. Obtuse
D. Reflex
ANSWER
A. Right
EXPLANATION
A tangent to a circle touches the circle at only one point.
The point where a tangent and a radius meet at is called the point of tangency.
The tangent to a circle meets the radius of a circle at a right angle.
This is because the angle between the tangent and the radius of the circle is 90°
The correct answer is A.
Final answer:
When a radius and a tangent intersect at the point of tangency, they form a right angle. This fact is part of basic geometric principles covered in high school mathematics.
Explanation:
The type of angle formed when the radius of a circle and a tangent intersect at the point of tangency is a right angle. This geometric principle is a result of the fact that a tangent to a circle is perpendicular to the radius at the point of tangency. This concept falls within the branch of mathematics known as geometry, which is a crucial topic in high school math education.
You invest $2000 in an account that is compounded annually at an interest rate of 5% . You never withdraw money from the account. How much money will be in the account after 4 years?
$2,431 is the answer to this problem I think
Find the first four iterates of the function f(x) = (x - 5)2 with an initial value of x0 = 4.
a.
4; 19; 645; 12,645
c.
1; 19; 645; 12,645
b.
1; 16; 121; 13,456
d.
4; 16; 121; 13,456
Please select the best answer from the choices provided
A
B
C
D
Answer:
b. 1; 16; 121; 13,456
Step-by-step explanation:
A suitable calculator or spreadsheet can compute these for you.
Put the value of x into the formula to find the first iterate. Repeat for successive iterates.
_____
Comment on the answer choices
You can eliminate the first two answer choices because none of the numbers 19, 645, 12645 are perfect squares. You can eliminate the last answer choice because the first term listed is x0, not x1.
What are the coordinates of the center of the ellipse shown below?
[tex]\frac{(x-7)^2}{4} + \frac{(y+3)^2}{16} = 1[/tex]
A. (-7,3)
B. (4,16)
C. (2,4)
D. (7,-3)
Answer:
Option D (7, -3)
Step-by-step explanation:
We know that the general equation of an ellipse has the form:
[tex]\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2} = 1[/tex]
Where the point (h, k) are the coordinates of the center of the ellipse
In this case the equation of the ellipse is:
[tex]\frac{(x-7)^2}{4} + \frac{(y+3)^2}{16} = 1[/tex]
Then
[tex]h=7\\\\k = -3[/tex]
So The coordinates of the center of the ellipse are (7, -3)
Answer:
D. (7,-3)
Step-by-step explanation:
This equation is for vertical Ellipse;
For vertical Ellipse;
center of ellipse is given by (h,v)vertices for ellipse is given by (h, v ± a)co-vertices for the ellipse is given by (h ±b, v)where the equation is (x-h)²/b² + (y-v)²/a²
In this question;
h=7 and v= -3
center= (7,-3)
Which of the sets of ordered pairs represents a function?
A = {(2, −2), (5, −5), (−2, 2), (−5, 5)}
B = {(4, 2), (4, −2), (9, 3), (9, −3)}
For something to be a function, the input (x value) can ONLY HAVE ONE output (y value), so if x has multiple outputs, it is not a function
B is not a function because x = 2 and x = 9 has 2 outputs
Your answer is A
Answer:
Step-by-step explanation:
A represents a function. Why? Because all the x-values are unique (no duplications).
B does not represent a function. Why? Because the input 4 is repeated and has different y-values for this one input, and similarly the input 9 is repeated.