True or False.

arcsin (sin theta ) = theta for all theta

The answer is true, but I am looking for an explanation.

Answers

Answer 1

The statement is true because the arcsin function is defined to be the inverse of the sin function.

What are inverse functions?

For invertible function f(x) (this means that f(x) has an inverse) we define the inverse function g(x) such that:

f(g(x)) = x

g(f(x)) = x

Now, particularly for the sin function, arcsin is defined as the inverse function.

Then by definition, arcsin must meet the conditions:

arcsin(sin(x)) = xsin(arcsin(x)) = x

So the answer is true for the definition of the arcsin function.

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Related Questions

△MNP is the image of △JKL after a reflection in the x-axis. Select all of the statements that are always true. The length of side KL equals the length of side PM. The length of side , KL, equals the length of side , PM, . The length of side JK equals the length of side MN. The length of side , JK, equals the length of side , MN, . The measure of angle K equals the measure of angle P. The measure of angle , K, equals the measure of angle , P, . The measure of angle L equals the measure of angle P.

Answers

The corresponding sides and angles of the both triangle would be congruent to each other.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

△MNP is the image of △JKL after a reflection in the x-axis. Therefore, both triangles would be congruent.

The corresponding sides and angles of the both triangle would be congruent to each other.

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Is it impossible, unlikely, likely, or certain that you will blink in the next two minutes?​

Answers

Answer:

you would have to very good at not blinking to but if your not I suggest not to because it will hurt also why not try to test it out ;)

Step-by-step explanation:

Please help me do this mathematics question genius

Answers

The changes in Z would be = 6.1× 10^-4.

Calculation of the unknown value

Z = Sin (x³ +y³)

Where X = 0.3

y = 0.2

Z= Sin ( 0.3³ + 0.2³)

Z= Sin ( 0.027 + 0.008)

Z= Sin ( 0.035)

Z= 6.1× 10^-4

Therefore, the changes in Z would be = 6.1× 10^-4.

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What is the distance between parallel lines y=x+3 and y=x+1, rounded to the nearest hundredth?

Answers

Answer:

The distance is 1.41 to nearest hundredth.

Step-by-step explanation:

The line y = x + 3 passes through the point (0, 3) on the yaxis.

Find the perpendicular line passing through this point:

y  - 3 = -1(x + 0)

y = -x + 3

Now find the point where this line intersects the line y = x + 1:

y = -x + 3

y = x + 1

-x + 3 = x  + 1

3 -1 = x + x

2x = 2

x = 1

and y = 2

So this point is (1, 2)

We require the distance between this point and (0, 3)

This = √((3-2)^2 + (0-1)^2) = √2

= 1.4142

Consider the sequence of steps to solve the equation: 3(x - 4) + 5x = 9x - 36
Given = 3(x - 4) + 5x = 9x - 36
Step 1 = 3x - 12 + 5x = 9x - 36
Step 2 = 3x + 5x - 12 = 9x - 36
Step 3 =› 8x - 12 = 9x - 36
Step 4 => 8x - 8x - 12 = 9x - 8x - 36
Step 5 = 0 - 12 = x - 36
Step 6 = -12 = x - 36
Step 7 = -12 + 36 = x - 36 + 36
Step 8 = 24 = x + 0
Step 9 = 24 = x
Which property yields Step 7?

Answers

Answer:

adding equal no. to both sides of the equation

2 There are 40 students in class six. 30% of them are girls. (i) How many are girls? (ii) How many are boys? ​

Answers

Answer:

12 girls

28 boys

Step-by-step explanation:

Multiply 40 by 30/100 to get 12 girls.

Subtract 12 from 40 to get 28 boys.

Math help can’t solve please

Answers

Answer:

See below

Step-by-step explanation:

a) 43.8 - 38 = 5.8 yrs

b) SD = 8.9 yrs    5.8 / 8.9 = .6517 SD   below the mean

(A z score merely shows how many standard deviations a score (age) is above or below the mean in SD units)

c) Z =     - .6517     Negative because it is BELOW the mean                                                                                   ( FYI    from z-score table: this is .2578  in percentage )

d) usual       ( it  (-.6517)  is between -2   and + 2  )

Write a​ slope-intercept equation for a line that passes through (-3, 5.5) and (0, 5.5)

The​ slope-intercept equation for the line is
​(Use integers or decimals for any numbers in the​ equation.)

Answers

Answer:

y-5.5=0 * (x+3)

Step-by-step explanation:

Triangles STU and S'T'U' are congruent.
S
A
T'
U
S'
U
Which sequences of transformations on triangle STU can be used to create triangle S'T' U'? Choose all the possible sequences.
T

Answers

Answer:

Rotations

Transformations

Reflections

Let the vector v have an initial point at (6,-7) and a terminal point at (4,-6). determine the components of vector v

Answers

The components of v are -2 and 1.

What are components of vector?

The components of a vector in two dimension coordinate system are usually considered to be x-component and y-component. It can be represented as, V = ([tex]v_x, v_y[/tex]), where V is the vector.

As, Vector v have an initial point at (6, -7) and a terminal point at (4, -6).

If initial point of vector [tex](x_1,y_1)[/tex] and terminal point is [tex](x_2,y_2)[/tex], then components of vector is

v= ([tex]x_2-x_1, y_2-y_1[/tex])

Initial point= (6,-7) and terminal point=(4,-6)

Then,

v= (4-6, -6-(-7))

v=(-2, 1)

Thus, the vector v=(-2, 1) have two components -2 and 1.

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Identify a pattern in the given list of numbers. Then use this pattern to find the next number. 17,7,-3,-13,-23

Answers

Answer:

-33

Step-by-step explanation:

The sequence is descending so the nth term would be -10n and the 0 term would be 27 so the nth term for the sequence would be -10n +27.

The question asks you to find the 6th term so (-10 x 6) + 27 = -60 + 27 = -33

The two formats used in an observation checklist are:
A. Video recording and audio recording
B. Performance profiles and Tallies
C. Tallies and video recording
D. Performance profiles and SMART Targets

Answers

Answer:

The two formats used in an observation checklist are:

A. Video recording and audio recording

B. Performance profiles and Tallies

C. Tallies and video recording

D. Performance profiles and SMART Targets

#CarryOnLearning

Answer:

A. Video recording and audio recording

Step-by-step explanation:

#hope it helps!

Answered by ReyvREYV111

(50 POINTS! PLEASE HELP!) Alang has a bag that contains pineapple chews, strawberry chews, and lime chews.
He performs an experiment. Alang randomly removes a chew from the bag, records
the result, and returns the chew to the bag. Alang performs the experiment 26 times.
The results are shown below:
A pineapple chew was selected 20 times.
A strawberry chew was selected 4 times.
A lime chew was selected 2 times.
Based on these results, express the probability that the next chew Alang removes
from the bag will be lime chew as a fraction in simplest form.

Answers

Answer:

1/13

Step-by-step explanation:

Probability (lime chew) :

No. of times lime chew was selected / Number of times experiment was conducted2/261/13

The probability that the next chew Alang removes from the bag will be lime chew is 1/13.

What is probability?

The likelihood or chance of an event occurring is quantified by probability. It is represented by a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certainty.

For instance, there is only one outcome (rolling a "6") that result in the desired event, hence the chance of rolling a "6" on a fair six-sided die is 1/6. (rolling a "6"). , there is a 1/6 chance of rolling any other number.

By dividing the number of times a lime chew was chosen by the total number of trials, the likelihood of choosing a lime chew could be computed (26).

The likelihood of choosing a lime chew is; 2/26, which reduces to 1/13 in basic form.

Therefore, 1/13 is the probability.

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Find the missing side lengths and leave the radicals in the simplest form.

Answers

Answer:

[tex]y=\frac{9\sqrt{2} }{2}[/tex] and x=9

Step-by-step explanation:

We can see that the triangle is a special triangle or isosceles triangle meaning that two angles/ two sides are the same.

[tex]y=\frac{9\sqrt{2} }{2}[/tex]

To solve for x use Pythagorean Theorem.

a^2 + b^2 = c^2.

[tex]\frac{9\sqrt{2} }{2} +\frac{9\sqrt{2} }{2}=x^2\\\\\frac{81}{2} +\frac{81}{2} =x^2\\\\\frac{162}{2} =x^2\\\\x=\sqrt{\frac{162}{2} } =\sqrt{81} =9\\\\x=9[/tex]

Ten blackberry plants start growing in my yard. Absent constraint, blackberries will spread by 200% a month. My yard can only sustain about 50 plants. Using the logistic growth model, a. Write a recursive formula for the number of blackberry plants in my yard b. Calculate the number of plants after 1, 2, and 3 months

Answers

The recursive formula for the number of blackberry plants in my yard is Tn = 3Tn-1 where To = 10

The recursive function

The given parameters are:

Initial = 10Maximum = 50Growth rate = 200%

The number of plants in month n is calculated using:

Tn = Tn-1 * (1 + 200%)

This gives

Tn = 3Tn-1

Hence, the recursive formula for the number of blackberry plants in my yard is Tn = 3Tn-1 where To = 10

The number of plants after 1, 2, and 3 months

This means that n = 1, 2, 3

When n = 1, we have:

T1 = 3To = 3 * 10 = 30

When n = 2, we have:

T2 = 3T1 = 3 * 30 = 90

90 is greater than the maximum number of plant the backyard can contain

Hence, the number of plants after 1 month is 30 and the plants in the backyard would exceed 50 plants before the end of the 2 months

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please find the value of x .​

Answers

Step-by-step explanation:

that was just answered with the last question, where you asked for the help here ...

x = 50°.

Pleaseeee show work

Answers

Answer:

The ladder is 9.54m (√91) tall

Step-by-step explanation:

(the blue triangle is all you would need to draw and the work in yellow)

Find the surface area, to the nearest square centimeter, of a cylinder with diameter 6 cm and height 8 cm.
a. 48 cm²
C.
207 cm²
b.
452 cm²
d.
72 cm²

Answers

Answer:

[tex]\sf 207 \ cm^2[/tex]

Step-by-step explanation:

Surface area of cylinder

 diameter = 6 cm

             r = 6/2  = 3 cm

            h = 8 cm

         [tex]\sf \boxed{\text{\bf Surface area of cylinder = $2\pi r(h +r)$}}[/tex]

                                                      [tex]\sf = 2*3.14*3 * (3 +8)\\\\ = 2*3.14* 3 * 11\\\\= 207.24\\\\= 207 \ cm^2[/tex]

The cost of operating the Marketing Department is allocated to four departments based on the floor space each occupies, in m2. Department A occupies 1400 m2, Department B occupies 820 m², Department C occupies 560 m2, and Department D occupies 390 m². If the cost of operating for March was $19 000. how much of the cost should each department of the Marketing Department take up?​

Answers

The cost of each department A, B, C, and D of the Marketing Department would take up is $8,391.17, $4,914.83, $3,356.47, and $2,337.53, respectively.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Given the cost of operating the marketing Department for March is $19,000. The total area of operation is,

Total Area = Department A + Department B + Department C + Department D

Total Area = 1400 m² + 820 m² + 560 m² + 390 m² = 3,170 m²

Now, the cost of operating a unit area can be determined as,

Cost of operating = $19,000/3,170m² = $5.99369 per m²

Further the cost of operating the different departments are,

Department A = 1400m²×$5.99 = $8,391.17

Department B = 820m²×$5.99 = $4,914.83

Department C = 560m²×$5.99 = $3,356.47

Department D = 390m² × $5.99 = $2,337.53

Hence, the cost of each department A, B, C, and D of the Marketing Department would take up is $8,391.17, $4,914.83, $3,356.47, and $2,337.53, respectively.

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find which one is f f' f"

Answers

f - green (A)

f' - red (B)

f'' - blue (C)

The graph of f attains local extrema at the same points that f' = 0. There's evidence of this at x = 0 and between x = 3 and x = 3.5. (At both points, curve A attains a maximum, while curve B crosses the x-axis.)

Similarly, the graph of f' attains local extrema at the same points that f'' = 0. This is seen between x = 1.5 and x = 2. (B has a max, C crosses axis)

Also, the graph of A is continuous at x = 1.5 but exhibits a sharp turn, so at this point f is not differentiable and the graph of f' (and subsequently f'') is not continuous.

g(x) =2x+2 complete function table

Answers

Answer and Step-by-step explanation:

Hey there!

To finish the function table, all you need to do is plug in the x value into the function, which in this case is g(x)=2x+2

*Remember, the "x-value" is the input and the "y-value" is the output*

The first input is -5

2(-5)+2

-10+2

g(x) = -8

The second input is -1

2(-1)+2

-2+2

g(x) = 0

The third input is 1

2(1)+2

2+2

g(x) = 4

The fourth input is 4

2(4)+2

8+2

g(x) = 10

The fifth input is 5

2(5)+2

10+2

g(5) = 12

Answer:

see below

Step-by-step explanation:

g(x) = 2x+2

Let x = -5     g(-5) = 2(-5) +2 = -10+2 = -8

Let x = -1     g(-1) = 2(-1) +2  = -2 +2 = 0

Let x = 1      g(1) = 2(1) +2  = 2+2 = 4

Let x=(4)   g(4) = 2(4) +2 = 8+2 = 10

Let x = 5  g(5) = 2(5) +2 = 10+2 = 12

The Sum of ages of kofi and akosua is
29 years. koti is 3 years older than Akosua.
How old
are
they?

Answers

I think the answer would be 16 and 13

Answer:

I think the answer is 12 and 19

Need help please and thank you

Answers

Answer:

no thank you

Step-by-step explanation:

lol good day

C is the correct function

What is the slope of the line that passes through the points (4,8) and (8,6)? Write your answer in the simplest form

Answers

hey !

Slope = 6-8/8-4 = -2/4 = -1/2 = -0.5

Laticia randomly selected 25% of the seventh grade students in her school and asked them what their favorite season was. Of the students surveyed, 51 chose summer as their favorite season. Based on this data, approximately how many seventh grade students in the whole school?

Answers

Answer:

1000

Step-by-step explanation:

The second angle of a triangle is 4 less than the first angle. The third angle is two times the first. Find the three angles.

Answers

The measure of the three angles are 46, 42 and 92 degrees respectively

Sum of angles in a triangle

A triangle is a shape that has 3sides and angles

Let the measure of the angles be x, y and z

If the second angle of a triangle is 4 less than the first angle, then;

y = x - 4

If the third angle is two times the first, then z = 2x

Since the sum of interior angle is 180 degrees, hence;

x + y + z = 180

x +x - 4 + 2x = 180
4x = 184
x = 46

Second angle = x - 4
Second angle = 42 degrees

Third angle = 2(46) = 92 degrees

Hence the measure of the three angles are 46, 42 and 92 degrees respectively

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11. One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following.
(a) A heart or a black card
(b) A heart or a jack
(c) A heart and the ace of clubs
(d) A 9 or a jack
(e) The 9 of hearts or a jack

Answers

Answer:

3/44/137/262/135.52

Step-by-step explanation:

(a)

Probability (A heart or a black card) = 13 + 26 / 52Probability (A heart or a black card) = 39/52Probability (A heart or a black card) = 3/4

(b)

Probability (A heart or a jack) = 13 + 3 / 52Probability (A heart or a jack) = 16/52Probability (A heart or a jack) = 4/13

(c)

Probability (A heart and the ace of clubs) = 13 + 1 / 52Probability (A heart and the ace of clubs) = 14/52Probability (A heart and the ace of clubs) = 7/26

(d)

Probability (A 9 or a jack) = 4 + 4 / 52Probability (A 9 or a jack) = 8/52Probability (A 9 or a jack) = 2/13

(e)

Probability (The 9 of hearts or a jack) = 1 + 4 / 52Probability (The 9 of hearts or a jack) = 5/52

In a large high school, 18% of sophomores and 67% of seniors have part-time jobs. Suppose random samples of 32 sophomores and 31 seniors from this high school are asked if they have a part-time job. Let p hat Subscript under and p hat Subscript upper be the sample proportions of sophomores and seniors, respectively, who have part-time jobs. Which of the following is the correct shape and justification of the sampling distribution of P hat Subscript under Baseline minus p hat Subscript upper ? bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67 approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 not approximately Normal because the expected numbers of successes and failures for each sample are all at least 10 not approximately Normal because the expected numbers of successes and failures for the sophomores group are not both at least 10

Answers

Using the Central Limit Theorem, it is found that the correct statement is given by:

bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67.

What does the Central Limit Theorem state?

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex]

In this problem, for sophomores, we have that:

np = 32 x 0.18 = 5.76 < 10.

Hence the distribution cannot be normal, which means that the correct statement is:

bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67.

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In the diagram above, <1=40. Find the measure of <4
<4 = [???]

Answers

Answer:

40 degrees.

Step-by-step explanation:

< 4 = < 1 = 40 degrees

( as they are vertical  ( opposite) angles)

( US = vertical, UK = opposite)

Answer:

m∠4 = 40°

Step-by-step explanation:

we notice that ∠1 and ∠4 are two Vertically opposite angles which means they are equal to each other then m∠4 = m∠1 = 40°

What is the area of this shape?

Answers

The area of the figure presented in the image, which is formed by one right triangle and three rectangles is equal to an amount of 157 square kilometers.

How to determine the area of a compound shape

In this question we understand that the area of the compound shape is the sum of the area of small rectangles and triangles:

[tex]A = \sum \limits^{n}_{i = 1} A_{i}[/tex]     (1)

Now we proceed to calculate the area of the compound shape:

A = 0.5 · (4 km) · (3 km) + (10 km) · (2 km) + (17 km) · (7 km) + (2 km) · (6 km)

A = 157 km²

The area of the figure presented in the image, which is formed by one right triangle and three rectangles is equal to an amount of 157 square kilometers.

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