Inverse Functions

Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree.
1
⁻
1

a. 45°
b. 90°
c. 0°
d. 1°

Please select the best answer from the choices provided

Answer: C, Bottom Left

Step-by-step explanation:

The  function that models the depth, in feet, of the water at the pier yesterday, as a function of the time t in minutes past high tide is: 2 cos(π/740t)+6.

Amplitude

A = 8 - 6

A = 2 ft

Average depth

A = (4 + 8)/2

A = 6 ft

Hence:

A+B=8

-A+B=4

1/2t=12×60×20=740

w=2π/t=π740

When t=0

d=2sin4+6=8

4=π/2

Hence:

d(t)=2 sin(π/740t + 4)+6

2 cos(π/740t)+6

Therefore the function that models the depth, in feet, of the water at the pier yesterday, as a function of the time t in minutes past high tide is: 2 cos(π/740t)+6.

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10.5  + 1.25x = 29.25

Answer:

A. A boxplot of the  data has multiple large outliers.

D. A boxplot of the data shows a very slight skew.

Step-by-step explanation:

A) The normal distribution does not have outliers. The outliers are any point outside the 3σ interval which 99.7% of the data. The 0.3% data would not be outliers.

B) YEs the mean and median of the normal distribution are nearly equal. AS it is asymmetrical.

C) When the sample standard deviation is large the data is spread about the mean. The normal distribution  is flatter and wider

D) The normal distribution is never skewed.If one end is longer then the distribution is not assymmetric and the normal distribution asymmetric meaning half is the mirror reflection of the other half.

So A and D indicate circumstances where he not be safe to use a t procedure.

Answer:

144 minutes

Step-by-step explanation:

1 hr  = 60 minutes

5/12 of a fence in 60 mimnnutes

(5/12)x = 60

Multiply both sides by 12/5

x = 60 * 12/5

x = 144

144 minutes

If Archibald and Rasmus can paint the equivalent of 5/12 of a fence in an hour, then 144 minutes will take them to complete the job.

An algebraic expression stands for the combination of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.

Let x be the minutes.

1 hr = 60 minutes

5/12 of a fence in 60 minutes

(5/12)x = 60

Multiply both sides by 12, and we get

[tex]$12 \cdot \frac{5}{12} x=60 \cdot 12$[/tex]

Simplifying the above equation, we get

5x = 720

Divide both sides by 5

[tex]$\frac{5 x}{5} = \frac{720}{5}[/tex]

Simplify

x = 144

The value of x = 144.

Therefore, 144 minutes will take them to complete the job.

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Answer:

Lets choose y

Plug in

Answer:

I'll choose 'x' variable first to eliminate because -

Step-by-step explanation:

Eqn.1 → -3x - 8y = -24

Eqn.2 → 3x - 5y = 45

If we'll add both the equations , then '3x' would be getting cancelled first.

⇒ [tex](-3x - 8y) + (3x - 5y) = (-24) + (45)[/tex]

⇒ [tex]3x - 3x - 8y - 5y = 45 - 24[/tex]

⇒ [tex]-13y = 21[/tex]

⇒ [tex]y = \frac{-21}{13}[/tex]

Putting the value of y in eqn.2 ,

⇒ [tex]3x - 5(\frac{-21}{13}) = 45[/tex]

⇒ [tex]3x + \frac{105}{13} = 45[/tex]

⇒ [tex]3x = 45 - \frac{105}{13}[/tex]

⇒ [tex]3x = \frac{585 - 105}{13} = \frac{480}{13}[/tex]

⇒ [tex]x = \frac{480}{13 \times 3} = \frac{480}{39}[/tex]

Reducing the fraction gives ,

⇒ [tex]x = \frac{160}{13}[/tex]

Answer:

x= -1/5y+9/5

Step-by-step explanation:

5x+y=9

Step 1

First you need to add -y to both sides, basically subtracting y

5x+y-y= 9-y

Step 2

Divide both sides by 5, or multiply by 1/5. You want to do this because to cancel out 5, so you multiply the reciprocal, or divide the constant.

1/5*5x=-y+9/5

Then, you will get the answer

Hope this helps, sorry if it is wrong, I am just 4th grade :(

But I am sure this is correct :)

Answer:

x<-4

Step-by-step explanation:

x+9<5

-9 -9

x<-4

1. subtract the 9 on both sides to have x alone

Answer

:A(2,2) _scale factor ½--A'(1,1)

B(4,6)_scale factor ½--B'(2,3)

C(6,2)_scale factor ½--C'(3,1)

is a required coordinate

Given:

The expression is:

[tex]\dfrac{-10v^5x+6v^5x^4}{2v^3x^2}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\dfrac{-10v^5x+6v^5x^4}{2v^3x^2}[/tex]

It can be written as:

[tex]=\dfrac{-10v^5x}{2v^3x^2}+\dfrac{6v^5x^4}{2v^3x^2}[/tex]

Cancel out the common factors.

[tex]=\dfrac{-5v^2}{x}+3v^2x^2[/tex]

Therefore, the simplified form of the given expression is [tex]\dfrac{-5v^2}{x}+3v^2x^2[/tex].

La respuesta es 15

31 - 16 = 15

Using proportions, it is found that the number of stones in the bucket is of 36.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, there are 18 seashells, and the ratio means that for each seashell, there are 2 stones, hence:

S = 18 x 2 = 36.

The number of stones in the bucket is of 36.

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Answer:

Step-by-step explanation:

10x + 34 = 144

10x = 110

x = 11 weeks

Answer:

2

Step-by-step explanation:

The coefficient is the number attached to the variable

The variable is the letter

The constant is ta number all on it's own

Answer:

2

Step-by-step explanation:

The coefficient is the number with the variable. The 9 is a constant.

Answer:

Height of slide = 5 feet (Approx.)

Step-by-step explanation:

Given:

Length of slide = 12 feet

Angle of depression = 25°

Find:

Height of slide

Computation:

Length of slide = Hypotenuse

Height of slide = Perpendicular

Using trigonometry function;

Sin θ = Perpendicular / Hypotenuse

Sin 25 = Height of slide / 12

0.422 = Height of slide / 12

Height of slide = 12 x 0.422

Height of slide = 5.064

Height of slide = 5 feet (Approx.)

Answer:

We need to first find the radius:

half of 12(diameter) = 6 your new radius.

Formula of a circumference:

2πr

In this case

pi is 3.14 and your radius is 6 and 2 is just 2.

2 x 3.14 x 6 = 37.68 inches.

Answer:

9300

Step-by-step explanation:

To find the total surface are of 150 boxes, all we have to do is multiply the surface area of one box ( 62 which was calculated on this question https://brainly.com/question/23446865 ) by the total amount of boxes (150)

So your answer = 150 * 62 which equals 9300

Answer:

a) P (0 defective component) = 0.5

   P( 1 defective component ) = 0.35

    P( 2 defective component ) = 0.15

b) P( 0 ) = 0

   p ( 1 ) =  1

   p ( 2 ) = 0.33

Step-by-step explanation:

p( no defective ) = 0.5

p( 1 is defective ) = 0.35

p( 2 is defective ) = 0.15

Given that 2 components are selected at random

a) Given that neither component is defective

Probability of 0 defective component = 0.5

P( 1 defective component ) = 0.35

P( 2 defective component ) = 0.15

b) Given that one of the two tested component is defective

P( 0 defective ) = 0

P( 1 defective ) = P ( [tex]\frac{x=1}{x\geq 1}[/tex] ) = p( x = 1 ) / 1 - P ( x = 0 )

                                        = ( 0.5 )^1 ( 0.5 )^0 /  1 - ( 0.5)^0 (0.5)^1

                                        = 0.5 * 1 / 1 - 0.5 = 0.5 / 0.5 =  1

p ( 2 defective ) = p( x = 3 ) / 1 - P ( x = 0 )

                         = ( 0.5 )^2 ( 0.5 )^0 /  1 - ( 0.5)^0 (0.5)^2

                         = 0.25 / 0.75 = 0.33

Answer:

Step-by-step explanation:

Let's solve your inequality step-by-step.

7 - s/2 > 3

Step 1: Simplify both sides of the inequality.

−1 /2 s + 7 > 3

Step 2: Subtract 7 from both sides.

−1 /2 s + 7 − 7 > 3 − 7

−1 /2 s > − 4

Step 3: Multiply both sides by 2/(-1).

( 2 /−1 ) * ( −1/ 2 s) > ( 2/ −1 )*(−4)

s<8

Answer:

s<8

Answer:

x = 25.4

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = 48°

Hypotenuse = x

Adjacent = 17

Apply the trigonometric function, CAH, since the Adj and Hyp are involved

Thus:

Cos 48° = Adj/Hyp

Cos 48° = 17/x

x*Cos 48° = 17

x = 17/Cos 48°

x = 25.4061013 ≈ 25.4 (nearest tenth)

Answer:

B

Step-by-step explanation:

surface area is finding the area of each portion of the net and adding them all up together. all the triangles are congruent, so we can start by finding the area of one of them and multiplying that area by 4 (since there are 4 triangles in this net). the formula for the area of a triangle is 1/2 bh. this is (1/2)(5.95)(5.1) which equals approximately 15.17. 4 multiplied by this is 60.68. the area of the square is length multiplied by width, which is 26.01. 60.68+26.01=86.69, which is the closest to answer choice B.

Answer:

i know this is not the option but i did the maths and the correct answer

the answer is 96.815 you dont have to give me brainliest tho since it was not an option but i got 96.815 anyways

Step-by-step explanation

1.  5.95*5.95= 35.4025

2. but since it is a triangle it should be devided by 2 which is 17.70125

3. since there are 4 triangles you have to multiply it by 4 which is 70.805

4. 5.1*5.1=26.01

5. 26.01+70.805= 96.815

Answer:

D: 500

Step-by-step explanation:

This is the answer because 3,200 - 2,700 = 500. Can I have a brainliest?

                                    XxRoadToAcexX

Answer:

3.57 mph I think it's 3.57 but if it's not I'm sorry

Answer:

The difference between acute angle and an isosceles triangle is that An acute triangle has all angles measuring less than 90º. While on the other hand The base angles in an isosceles triangle are of the same measurements.

in other words

(Isosceles triangles have two congruent sides and acute angles measure less than 90 degrees)

Step-by-step explanation:

Answer:

Step-by-step explanation:

i dont know sorry

Answer:

a) section c

b) at a constant rate

c) below

A. 3m/s^2

B. 0 m/s^2

C. -3m/s^2

D. 1 m/s^2

Step-by-step explanation:

a) This graph models the change in velocity of time. Since when the velocity decreases over time, the acceleration is negative. This relationship is modeled in the interval from the 9th to 11th seconds which is section c.

b) If the graph is flat, it means the car is traveling at the same amount of meters per second. This means the car is traveling at a constant rate during section b.

c) During section A, the velocity in second 0 to second 4 increases by 12m/s. So, the acceleration is 3m/s^2. This is identical to finding the slope.

During section B, the velocity does not change at all, so the acceleration(and slope) is 0 m/s^2

During section C, over 2 seconds, from 9 to 11, the velocity goes from 12 m/s to 6 m/s, which is a change of -6 m/s. Therefore, the acceleration is -3m/s^2

During section D, over a span of 4 seconds(11 - 15), the velocity changes from 6 m/s to 10 m/s. That means a change of 4 m/s and the acceleration would be 1 m/s^2.

Step-by-step explanation:

[tex] \: \:\huge\mathfrak\purple{Answer...} \\ \\ here \: is \: your \: solution \\ \\ area \: of \: parallelogram = base \times height \: \\ \\ base = 10cm \: \\ \\ height = 6cm \: \\ \\ aera \: of \: pralelogram = 10 \times 6 \: \\ \\ area \: = 60 \: cm.sq \\ \\ \huge\mathfrak\red{hope \: it \: helps...}[/tex]

Answer:

The angles are vertical and x = 128*.

Step-by-step explanation:

x is the same angle as 128, because the angles are vertical.

Have a nice day! :-)

Answer: B. 4

Step-by-step explanation: