Which functions are symmetric with respect to the origin?
y = arcsinx and y = arccosx
y = arccosx and y = arctanx
y = arctanx and y = arccotx
y = arcsinx and y = arctanx
Answer:
The correct option is;
y = arcsinx and y = arctanx
Step-by-step explanation:
The given options are;
1) y = arcsinx and y = arccosx
Here, we have at the origin, where x = 0, arccosx ≈ 1.57 while arcsinx = 0
Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin
2) y = arccosxy and y = arctanx
Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical
3) y = arctanx and y = arccotx
Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical
4) y = arcsinx and y = arctanx
Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.
The function are symmetric with respect to the origin is y = arcsinx and y = arctanx and this can be determined by using the trigonometric property.
The following steps can be used in order to determine which functions are symmetric with respect to the origin:
Step 1 - Check all the options given in order to determine which functions are symmetric with respect to the origin.
Step 2 - Substitute (x = 0) in option a), that is:
[tex]\rm y = sin^{-1}(0)=0[/tex]
[tex]\rm y = cos^{-1}(0)=1.57[/tex]
Step 3 - Substitute (x = 0) in option b), that is:
[tex]\rm y = cos^{-1}(0)=1.57[/tex]
[tex]\rm y = tan^{-1}(0)=0[/tex]
Step 4 - Substitute (x = 0) in option c), that is:
[tex]\rm y = tan^{-1}(0)=0[/tex]
[tex]\rm y = cot^{-1}(0)=1.57[/tex]
Step 5 - Substitute (x = 0) in option d), that is:
[tex]\rm y = tan^{-1}(0)=0[/tex]
[tex]\rm y = sin^{-1}(0)=0[/tex]
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What term can you add to 5/6 x-4 to make it equivalent to 1/2 x-4
-1/3x
-1/3
1/2x
1/2
5 less than the product of a number n and 3
Step-by-step explanation:
5 - 3n
I think sooooooo
what is the area and perimeter of this triangle
Answer:
A = 2044 sqcm; P = 221 cm (PLEASE DOUBLE CHECK CALCULATIONS!!)
Step-by-step explanation:
the area of a triangle is half of its base times height.
the base and the height must be perpendicular to each other; so they would be 56 and 73.
56(73)/2=2044
the perimeter is the sum of all the sides
73+56+92=221
The area of the right-angled triangle is 2044 cm² and the perimeter of the right-angled triangle is 221 cm.
To find the area and perimeter of a right-angled triangle with dimensions 73 cm, 92 cm, and 56 cm.
Area of a right-angled triangle:
The area of a triangle can be found using the formula:
A = (1/2) x base x height
Plugging these values into the formula, we get:
A = (1/2) x 73 cm x 56 cm
A = 2044 cm²
Therefore, the area of the right-angled triangle is 2044 cm².
Perimeter of a right-angled triangle:
The perimeter of a triangle is the sum of all its sides.
In this case, the sides of the triangle are 73 cm, 92 cm, and 56 cm.
Perimeter = 73 cm + 92 cm + 56 cm
Perimeter = 221 cm
Therefore, the perimeter of the right-angled triangle is 221 cm.
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The value of $y$ varies inversely as $\sqrt x$ and when $x=2$, $y=4$. What is $x$ when $y=1$?
Is 0.584... rational or irrational
Answer:
Its irrational since it’s never ending
Step-by-step explanation:
rational numbers are usually perfect squares and since that’s repeating it’s not A erfect square instead its irrational since it never ends
Answer:
0.584... is irrational
Step-by-step explanation:
This is because the decimal can't be made into a ratio or fraction because it doesn't terminate.
Is there enough information given to prove that the following pairs of triangles are congruent explain why or why not if not describe the information could be added to guarantee congruence
The troposphere is the region that starts at Earth's surface and ends between ____ km and ____ km above Earth.
Answer:85-500
Step-by-step explanation:
Answer:
The troposphere is the region that starts at Earth's surface and ends between 8 km and 20 km above Earth.
Step-by-step explanation:
Erik drives 19.2 miles in 16 minutes.
He passes a sign which gives the speed limit as 65 mph.
By how much, in mph, did Erik's average speed exceed the speed limit?
The average speed exceeding the speed limit is mathematically given as
6.91 kilometers per hour
This is further explained below.
What is the average speed exceeding the speed limit?Let's assume that Erik maintains a steady pace during the whole trip.
Therefore, the following equation of motion may be used to compute the speed, which is expressed in terms of miles per hour:
Where: miles is the unit of measurement for distance.
t stands for time, which is measured in hours.
Kindly take into account that one hour is comprised of sixty minutes. If we assume so, then we can calculate Erik's speed as follows:
[tex]\begin{aligned}&v=\frac{19.2 m i}{0.267 h} \\\\&v=71.910 \frac{m i}{h}\end{aligned}[/tex]
In conclusion, That is 6.91 kilometers per hour faster than the allowed speed limit.
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Rasheed buys candy bars for $0.63 each. He sells them for $1.50 a piece. Write an equation
to show how many candy bars Rasheed will need to sell to make $522.00. Solve that
equation.
Answer:
$126
Step-by-step explanation:
Well first you would have to see how much the total sale of 700 chocolate bars is,
700*1.20=$840
Next you need to multiply the 15% thats going to club shirts,
$840*0.15=126
So your answer is $126
Aaliyah wants to download 50 songs on her phone, but her phone has room for only a third of the songs. How many songs can she download?
Answer:
16 songs.
Step-by-step explanation:
If Aaliyah has 50 songs, but her phone can only hold a third of those songs, to solve this problem, we will have to find a third of 50.
Divide 50 into 3:
[tex]50[/tex] ÷ [tex]3[/tex]
[tex]=16.6666...[/tex]
As this decimal does not terminate, we'll have to round down to [tex]16[/tex] since we cannot have a portion of the song downloaded.
Therefore, Aaliyah can download 16 songs on her phone.
Order the decimals from greatest to least. 976.627 , 976.328 , 978.327
Answer:
976.627, 976.328, and 978.327
Step-by-step explanation:plz give Brainlyest
Answer: (Greatest: 978.327) (Middle: 976.627) (Least: 976.328)
Step-by-step explanation: Hope this helps!
Find the unit rate. Round to the nearest hundredth, if necessary.
$1.99 for 19 lb
The unit rate is $__________/lb.
Answer: $ 0.1047
Step-by-step explanation:
The larger number is five more than the smaller number. Four more than three times the
smaller number is twice the larger number. Find both numbers.
Answer:
Larger number = 11
Smaller number = 6
Step-by-step explanation:
Let the larger number = x
Let the smaller number = y
x - y = 5
3y + 4 = 2x Subtract 2x
-2x + 3y + 4 = 0
===========
Multiply the first equation by 2. Write the second equation underneath
2x - 2y = 10
-2x + 3y + 4 = 0
add
y + 4 = 10
Subtract from both sides
y = 10 - 4
y = 6
==========
x - y = 5
x - 6 = 5 Add 6 to both sides
x = 5 + 6
x = 11
Answer:
6 and 11Step-by-step explanation:
x ← the smaller number
x+5 ← five more than the smaller number - the larger number
3x ← three times the smaller number
3x+4 ← four more than three times the smaller number
2(x+5) ← twice the larger number
3x + 4 = 2(x + 5)
3x + 4 = 2x + 10
-4 -4
3x = 2x + 6
-2x -2x
x = 6
x+5 = 6 + 5 = 11
Check: 3•6 + 4 = 22; 22:2 = 11
Need asap 9th grade just answer no explanation
Answer:
(x-3)(x-2)
Step-by-step explanation:
none cause you dont want one
Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.
-3x + y = 8
3y = 9x
y = - x
6x + 2y = 12
Answer:
-3x + y = 8 and 3y = 9x
Step-by-step explanation:
The graph represents how kyren spent her allowance this week. If her allowance was $20, how much did she spend on the spirit shirt
Answer:8 Dollars
Step-by-step explanation: The whole is 100 so you add 50 and 10 together which is the lunch and candy which equals 60 then you subtract the whole number 100 by 60 giving you 40 which is the percentage of 20 that was spent on the spirit shirt.And the way I do it is 10 percent of 20 is 2 so times 2 by 4 which gives you 8 dollars.
g(x)= x+5
Describe the transformation
Find the Greatest Common Factor of each pair of Numbers.
60 and 72; GCF
45 and 81: GCF:
Answer:
60,72 - 12
45,81 - 9
Please help me with my homework
Answer:
49/30
Or
1 19/30
Step-by-step explanation:
I need the answer ASAP I'm being timed on this please help.
Answer:
61.67 supplementary
Step-by-step explanation:
good luck!
Answer:
A
Step-by-step explanation:
give brainliest
supplementary 61.67
I need help pls!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer:
Since 80 and 40 are both divisible by 40 and 10, 40 and 10 are factors of both 80 and 40.
Step-by-step explanation:
evaluate the determinant please answer i have limited time
See Explanation
Step-by-step explanation:
[tex] \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \\ \\ = 4 \times 1 - 3 \times 2 \\ \\ = 4 - 6 \\ \\ = - 2[/tex]
[tex] \begin{bmatrix} 4 & 2 & 6 \\ - 1 & - 4 & 5\\ 3 & 7 & 2 \end{bmatrix} \\ \\
=4(-4\times 2-5\times 7)\\ -2(-1\times 2-5\times 3)\\ +6(-1\times 7-(-4)\times 3)\\\\
= 4(-8-35) -2(-2-15) \\+6(-7+12)\\\\
= 4(-43) -2(-17) +6(5)\\\\
= - 172 + 34 + 30\\\\
= 64 - 172\\\\
= - 108 \\[/tex]
answerr 5 & 6 pleaseee
Name the slope and the y intercept for the equation y= 5x -7
Answer:
The slope is 5 and the y intercept is -7
Step-by-step explanation:
the x value coefficient is the slope, and the coefficient with no variable is your y intercept
AP CAL AB!!!! HELP. A ladder 10 feet long rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall, and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ=π/3 ?
Answer:
[tex]\displaystyle \frac{dx}{d\theta}=5\text{ ft/rad}[/tex]
Step-by-step explanation:
Please refer to the diagram below.
We can use the sine function. Recall that the sine function is the ratio between the opposite side and the hypotenuse. Hence:
[tex]\displaystyle \sin(\theta)=\frac{x}{10}[/tex]
We want to find how fast x changes with respect to θ. So, we want to find dx/dθ. Therefore, let's take the derivative of both sides with respect to θ:
[tex]\displaystyle \frac{d}{d\theta}[\sin(\theta)]=\frac{d}{d\theta}\left[\frac{1}{10}x\right][/tex]
Differentiate. Since it's with respect to θ, we can differentiate the left-hand side like normal. On the right, we will implicitly differentiate. This yields:
[tex]\displaystyle \cos(\theta)=\frac{1}{10}\frac{dx}{d\theta}[/tex]
Multiply both sides by 10. So, dx/dθ is:
[tex]\displaystyle \frac{dx}{d\theta}=10\cos(\theta)[/tex]
We want to find dx/dθ when θ is π/3. Thus, substitute π/3 for θ:
[tex]\displaystyle \frac{dx}{d\theta}=10\cos\left(\frac{\pi}{3}\right)[/tex]
Evaluate:
[tex]\displaystyle \frac{dx}{d\theta}=10\left(\frac{1}{2}\right)=5\text{ ft/rad}[/tex]
So, x is changing with respect to θ at a rate of 5 feet per radian.
Open the parallel lines translation application. The right set of parallel lines is a translation right 10 units of the left set of parallel lines. Drag the left set of parallel lines and try to move them onto the right set. Are the two sets of parallel lines the same? What does this mean about how parallel lines change when you translate them?
Answer:
when translation appears on the axises for any shape or line, the same line would not compare each other. Just like the parallel lines that I used. These two lines are not compared to each other.
Step-by-step explanation:
19/8 + 5/8 what is the answer to this
Answer:
24/8 or 3
Step-by-step explanation:
19/8 + 5/8
=> 19 + 5 / 8
=> 24/8
=> 3
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Mark decides to make his favorite lunch, grilled cheese! His recipe calls for 3 slices of cheese per one sandwich. He makes 6 sandwiches for the family on Friday.
Answer:
18 pieces of cheese
Step-by-step explanation:
3 slices x 6 grilled cheeses = 18 slices of cheese
h e l p .................
Answer:
The answer is 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
It is going by two's but with negative numbers so if we go backwards it would be -6, -4, -2, then the blue dot which would be 0.