Antonio's toy boat is bobbing in the water next to a dock. Antonio starts his stopwatch, and measures the vertical distance from the dock to the height of the boat's mast, which varies in a periodic way that can be modeled approximately by a trigonometric function. The vertical distance from the dock to the boat's mast reaches its highest value of -27 \text{ cm}−27 cmminus, 27, space, c, m every 333 seconds. The first time it reaches its highest point is after 1.31.31, point, 3 seconds. Its lowest value is -44\text{ cm}−44 cmminus, 44, space, c, m. Find the formula of the trigonometric function that models the vertical height HHH between the dock and the boat's mast ttt seconds after Antonio starts his stopwatch. Define the function using radians.

Answer: the correct answer is 40

Step-by-step explanation:

All angles in a triangle equal 180.

180-100=80

the question says the other two angles are equal. So we will divide by 2

80/2=40

Answer:

B

Step-by-step explanation:

common difference is 3

explicit formula is

first term + ( n-1 ) * common difference

= -7 + ( n-1) * 3

Answer:

angle X = 136 degrees

Step-by-step explanation:

Given XYZW is a trapezoid means XY || WZ.

Given XW ≅ YZ means that base angles are equal

=>

XWZ = YZW = 44

Since interior angles between parallel lines are supplementary,

angle X = YXW = 180-XWZ = 180-YZW = 180-angle Z = 180-44 = 136 degrees

Answer:

Angle X =136 degrees

Step-by-step explanation:

Answer:

The area of △ABC is equal to the area of △DEF

Step-by-step explanation:

On a coordinate plane, triangles A B C and D E F are shown. Triangle A B C has points (4, 2), (7, 2), (4, 6). Triangle D E F has points (negative 2, negative 1), (4, negative 3), and (4, negative 1).

How do the areas of triangle ABC and DEF compare? The area of △ABC is 1 square unit less than the area of △DEF. The area of △ABC is equal to the area of △DEF. The area of △ABC is 1 square unit greater than the area of △DEF. The area of △ABC is 2 square units greater than the area of △DEF.

Answer: The length of the sides of the triangle ABC are given below:

[tex]AB=\sqrt{(7-4)^2+(2-2)^2} =3\ unit\\\\BC=\sqrt{(4-7)^2+(6-2)^2} =5\ unit\\\\AC=\sqrt{(4-4)^2+(6-2)^2} =4\ unit[/tex]

The area of triangle ABC is given as:

Area = 1/2 × base × height = 1/2 × 3 × 4 = 6 unit²

The length of the sides of the triangle DEF are given below:

[tex]DE=\sqrt{(4-(-2))^2+(-3-(-1))^2} =\sqrt{40} \ unit\\\\EF=\sqrt{(4-2)^2+(-1-(-3))^2} =2 \ unit\\\\DF=\sqrt{(4-(-2))^2+(-1-(-1))^2} =6 \ unit[/tex]

The area of triangle DEF is given as:

Area = 1/2 × base × height = 1/2 × 2 × 6 = 6 unit²

The area of triangle ABC is equal to 6 unit² and the area of triangle DEF is equal to 6 unit² , therefore The area of △ABC is equal to the area of △DEF

Answer:

b

Step-by-step explanation:

edge exam

Answer:

a) [tex]1,000,000 \times (1.06)^{t}[/tex]

b) The function is recursive

c) The benefits includes;

1) Simplification of information

2) Faster data access

3) Lesser storage requirement

4) Good for forecasting

5) Simplifies information analysis.

Step-by-step explanation:

The given information are;

The current population = 1,000,000

The rate of increase of the population = 6%

a) With the standard function notation is [tex]P_f[/tex]  = [tex]P_p[/tex] × [tex](1 + r)^{t}[/tex]

Where;

[tex]P_f[/tex] = Future population

[tex]P_p[/tex] = Present population

r = Rate of population increase

t = The number of years

Therefore, we have;

[tex]P_f[/tex]  = 1,000,000 × [tex](1 + 0.06)^{t}[/tex] = 1,000,000 × [tex](1.06)^{t}[/tex]

The population increases by a factor of [tex](1.06)^{t}[/tex] given the number of years, t

b) The function is recursive as it takes account of the number of years and the previous population to calculate the future population

c)  The benefits includes;

1) Simplification of the relationship of a given data with time

2) Provides a more faster way to access data that is recursive than using complex regular function with more variables

3) Reduces data storage space for statistical calculations as several particular data can be accessed using one function

4) Provides improved forecasting

5) Enables detailed information analysis.

Answer:

BD

Step-by-step explanation:

to find the longest segment in a triangle, first find the largest angle and the line opposite to it is the largest segment:

in this case it is angle BCD and the segment opposite is BD

Answer:

1. Always translate the question stem, set up equations (limit the number of variables) and breakdown the question stem of possible

2. Never overlook the constraints the question provides.

Now the question stem tells us that on the

1st day Joe earned = x

2nd day = 2x

3rd day = 4x

4th day = 8x

Question stem: Did Joe earn less than $35 on the 4th day -----> 8x < 35 ----> x < 4.375

Since x is an integer, the question becomes 'Is x <= 4

Statement 1 : Joe earned more than $120 in total for the first five days he worked in December.

x + 2x + 4x + 8x + 16x > 120

31x > 120 ---> x > 3.9....

This gives us both a YES and a NO since x can be 4 or any integer greater than 4

Statement 2: Joe earned less than $148 on the 6th day he worked in December

32x < 148 ----> x < 4.625

Since x is an integer, x <=4. Sufficient.

hope this helps

-lvr

Answer:

88

Step-by-step explanation:

The key to this question is combining the two fractional pieces we know about. Namely, Hermione has 1/4 of the books and Ginny has 1/2 of them. This means that between the two of them, they account for 3/4 of the library.

So what does that mean? Well, it means that the books Ron and Hermione have (22 in total) account for the remaining 1/4 of the library. So then the whole library is [tex]4*22=88[/tex].

Answer:

See my explanation

Step-by-step explanation:

-2x + (x - 4) = 18

-x - 4 = 18

-x = 22          <- this is wrong in question writing as x = 22

so, x = -22

Answer:

Height of stone face is : 56.7 ft

Step-by-step explanation:

Kindly refer to the attached image for the diagram of the given conditions and values.

Let C be the base of mountain.

D be the point from where two sightings are taken.

AB be the stone face.

Angle of elevations:

[tex]\angle BDC =35^\circ\\\angle ADC =38^\circ[/tex]

To find:

Height of stone face = ?

AB = ?

Solution:

We can use trigonometric function of tangent here in two triangles [tex]\triangle BCD\ and\ \triangle ACD[/tex]:

[tex]In\ \triangle BCD :[/tex]

[tex]tan(\angle BDC) = \dfrac{Perpendicular}{Base} = \dfrac{BC}{CD}\\\Rightarrow BC = 700 \times tan35 ..... (1)[/tex]

[tex]In\ \triangle ACD :[/tex]

[tex]tan(\angle ADC) = \dfrac{Perpendicular}{Base} = \dfrac{AC}{CD}\\\Rightarrow AC = 700 \times tan38\\\Rightarrow AB +BC = 700 \times tan38\\\\\text{Using equation (1):}\\\Rightarrow AB + 700 \times tan 35 = 700 \times tan 38\\\Rightarrow AB = 700 \times tan 38-700 \times tan35\\\Rightarrow AB = 700 \times (tan 38-tan35)\\\Rightarrow AB = 700 \times 0.081\\\Rightarrow AB = \bold{56.7}\ ft[/tex]

So, Height of stone face is : 56.7 ft

Answer:

[tex]\boxed{\frac{5}{12} \ miles}[/tex]

Step-by-step explanation:

Will ran = [tex]1 \frac{2}{3} \ of \ a \frac{1}{4} \ miles \ track[/tex]

Will ran = [tex]\frac{5}{3} * \frac{1}{4}[/tex]      [of means to multiply]

=> [tex]\frac{5*1}{3*4}[/tex]

=> 5/12 miles

Answer:

Step-by-step explanation:

[tex]21\: square\:meters = 6 \:wizard \:cloak\\x\:square\:meters\:\:=4 \:wizard\:cloaks\\\\Cross\:Multiply\\6x = 84\\\frac{6x}{6} =\frac{84}{6} \\\\x = 14 \:square\:meters[/tex]

Answer:

14.0 square meters

Step-by-step explanation:

Answer:

V > -15

Step-by-step explanation:

[tex]\frac{V}{3} +12>7\\\\\frac{V}{3}>-5\\\\V>-15[/tex]

Answer:

V > -15

Step-by-step explanation:

V/3 + 12 > 7

V/3 > -5

V > -15

Answer:

  a) 18.6%

  b) 598,230

Step-by-step explanation:

a) In the first part of the question, you are given two population values and asked to find the percentage difference between them. A formula you can use for that is ...

  percentage difference = (difference)/(original value) × 100%

The difference of interest is the difference between the 2011 population and the 2001 population

  difference = 510,000 -430,000 = 80,000

The original value is the 2001 population, so the percentage difference is ...

  percentage difference = 80,000/430,000 × 100% = 0.1860 × 100% = 18.6%

This is a positive value, so represents an increase.

The percentage increase in population from 2001 to 2011 was 18.6%.

__

b) In the second part, you are given the percentage difference and asked to find the new value. We can rearrange the above formula to find the difference:

  difference = (percentage difference)/100% × original value

Then the difference between the 2021 population and the 2011 population will be ...

  difference = (17.3%)/100% × 510,000 = 0.173 × 510,000 = 88,230

So, the population in 2021 is expected to be 88,230 more than in 2011:

  2021 population = 520,000 +88,230 = 598,230

The predicted population in 2021 is 592,230.

Answer:

34x - 107.

Step-by-step explanation:

5 + 2{x - 4[3x + 7(2 - x)]}

= 5 + 2[x - 4(3x + 14 - 7x)]

= 5 + 2[x - 4(-4x + 14)]

= 5 + 2(x + 16x - 56)

= 5 + 2(17x - 56)

= 5 + 34x - 112

= 34x - 107

Hope this helps!

Answer

34x - 107

Let me know if it was correct please.

Answer: [tex]x=0\text{ and }x=e^4[/tex]

Step-by-step explanation:

Given function: [tex]f(x) = \ln(4 - \ln(x))[/tex]

Since, [tex]\ln 0=\infty[/tex]

Here, if

[tex]f(x)\to \infty\\\Rightarrow\ 4-\ln x=0\Rightarrow\ln x=4\Rightarrow\ x=e^4\\\text{OR}\ln x=\infty\Rightarrow\ x=0[/tex]

Hence, the vertical asymptotes of f(x) are:

[tex]x=0\text{ and }x=e^4[/tex].

Using it's concept, it is found that the vertical asymptotes of the function are: [tex]\mathbf{x = 0, x = e^4}[/tex]

A vertical asymptote of a function f(x) are the values of x for which the function is outside it's domain.

For the ln function, that is, [tex]\ln{g(x)}[/tex], they are the values of x for which:

[tex]g(x) = 0[/tex]

In this problem, the function is:

[tex]f(x) = \ln{(4 - \ln{(x)})}[/tex]

For the inner function, x = 0 is a vertical asymptote, as [tex]\ln{0}[/tex] is outside the domain.

For the outer function:

[tex]4 - \ln{(x)} = 0[/tex]

[tex]\ln{(x)} = 4[/tex]

[tex]e^{\ln{(x)}} = e^4[/tex]

[tex]x = e^4[/tex]

A similar problem is given at https://brainly.com/question/23535769

Answer:

Step-by-step explanation:

[tex] \frac{7x + 19}{(x + 1)(x + 5)} [/tex]

Multiply each term in the first parentheses by each term in second parentheses ( FOIL)

[tex] \frac{7x + 19}{x(x + 5) + 1(x + 5)} [/tex]

Calculate the product

[tex] \frac{7x + 19}{ {x}^{2} + 5x + x + 5} [/tex]

Collect like terms

[tex] \frac{7x + 9}{ {x}^{2} + 6x + 5 } [/tex]

Hope this helps...

Best regards!!

Answer:

B: X less than or equal to 12

x≤12

Step-by-step explanation:

Corey owns a 50acre vineyard

Corey wants rainfall amounts to be at most 12 inches per year

Let rainfall=x

Corey wants amount of rainfall (x) to be at most 12 inches per year

x is at most 12 inches per year

In inequality, the appropriate symbol representing “at most” is the “less than or equal to”

(≤) symbol

So, substituting the symbol

We have,

x≤12

B: X less than or equal to 12

Hey there! I'm happy to help!

When it says f(1), that simply means to look for the x-coordinate 1 and then see what y-value of the function.

If we go to the x-value of 1 and look up a bit, we see where the function is at 1, it is at the y-value of 1!

Therefore, f(1)=1.

Using this, we can see that f(7) is 5, f(0)=2, etc.

Have a wonderful day!

Answer:

x = -1.47, 1.14

Step-by-step explanation:

Quadratic Formula: [tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

We are given a = 3, b = 1, and c = -5. Simply plug it into the Quadratic Formula:

Step 1: Plug in variables

[tex]x=\frac{-1+/-\sqrt{1^2-4(3)(-5)} }{2(3)}[/tex]

Step 2: Solve

[tex]x=\frac{-1+/-\sqrt{1+60} }{6}[/tex]

[tex]x=\frac{-1+/-\sqrt{61} }{6}[/tex]

Step 3: Plug into calculator to evaluate into decimals

You should get x = -1.46837 and 1.13504

Answer:

1.13 and -1.46

Step-by-step explanation:

Our quadratic equation is:  3x²+x-5=0

The method we will use is te dicriminant method

let Δ be the discriminant:

Δ = b²-4*a*c

61 is a positive number so we have solutions x and x':

so the two solutions are :

-1.46 and 1.13

Answer:

work is shown and pictured

Complete question:

[tex] F(x) = -6x^5 + 4x^3 [/tex]

Which characteristic is correct for the function

a) odd

b) neither even nor odd

c) both even and odd

d) even

Answer:

a) odd

Step-by-step explanation:

Given the equation:

[tex] F(x) = -6x^5 + 4x^3 [/tex]

To test for even or odd let's perform the following:

F

Replace "x" with "-x"

Thus,

[tex] F(x) = -6x^5 + 4x^3 [/tex]

[tex] = -6(-x)^5 + 4(-x)^3 [/tex]

[tex] = 6x^5 + -4x^3 [/tex]

Since [tex] -6x^5 + 4x^3 [/tex] ≠ [tex]-6(-x)^5 + 4(-x)^3[/tex] the equation is not even.

Also,  the signs changed, the equation is considered to be odd.

I.e f(x) = -f(x)

Correct answer is option (a) odd

Answer:

odd

explanation:

Answer:

D

Step-by-step explanation:

In this question, we are to select which of the options best answer the question.

What we are dealing with in the question is the coefficient of correlation. We want a correlation. coefficient that is positively linear.

Correlation talks about the extent of agreement between the data points involved.

So basically, what we want here are the two terms that are mostly related to one another.

A has no relationship between the two quantities. There is actually no relationship between a refrigerator’s temperature and the number of items in the refrigerator.

B , all things being equal, when a child ages , the amount spent of baby food decreases.

This shows a kind of negative correlation between the two terms

C basically has no relationship between the term/. The number of cars owners does not dictate the length of the driveway.

D. Yes, we have a positive linear relationship here. The longer you drive, the longer the distance covered.

Answer:

no

Step-by-step explanation:

it was slower the way there and if he was going 40 it would have taken the same time to get there as it would have to go back

Answer:

Yes.

Step-by-step explanation:

Reiko's average speed was 80 miles per hour. That is more than 40 miles per hour. Even if it took him longer to drive from A to B, his speed would still be more than 40 miles per hour to have the average speed be 80 miles per hour.

Hope this helps!

Answer:

Hey I know!

1.10 euro

Answer:

397.5 :)

Step-by-step explanation:

Answer:If it has 4 equal sides

If the angles are 90°

Hope this may helps you

Answer:

A square is characterized by

Hope this helps ;) ❤❤❤

Answer:

a) 60,000 cubic cm

b)600,000 cubic mm

c)60 L

Step-by-step explanation

To find the volume, you would have to multiply the height length and width.

50*40*30 and that equals to 60,000 cm. 10 mm=1cm.

So 60,000*10=b, b=600,000,  1,000 cm=1 L

60,000/1,000=L, L=60

Hope this helps. If it does, please rate 5 stars!

Answer:

B. x < -8

Step-by-step explanation:

Well first we need to get x by itself.

To do that we do 4 / -1/2 = -8

And since a negative was divided the > changes to a <.

So x<-8.

If x is less than -8 the line starts at -8 and goes to the left.

Thus,

the answer is choice b.

Hope this helps :)

12/31/2020: During 2020, $10,000 in accounts receivable were written off. At the end of the second year of operations, Yolandi Company had $1,000,000 in sales and accounts receivable of $400,000. XYZ's management has estimated that $17,000 in accounts receivable would be uncollectible.

For the end of 2020, after the adjusting entry for bad debts was journalized, what is the balance in the following accounts:

Bad debt expense: Allowance for doubtful accounts:

For the end of 2020, what is the company's net realizable value?

Answer:

Bad debt expense  = $17000

Allowance for doubtful accounts = $17000

Company's net realizable value of accounts receivable at end of 2020 is

= $383,000

Step-by-step explanation:

From the information given :

Accounts written off in 2020 = $10,000

Accounts receivable expected to be uncollectible = $17,000

The Bad debt expense and Allowance for doubtful accounts can be computed as follows:

12/31/2020

Adjustment entry :

                                                           Debit                              Credit

Bad debt expense                             $17000

Allowance for doubtful accounts                                             $17000

Company's net realizable value of accounts receivable at end of 2020 = Closing accounts receivables - Allowance for Doubtful accounts =

Company's net realizable value of accounts receivable at end of 2020 is:

= $400,000 - $17,000

= $383,000