Two sailboats leave a harbor in the Bahamas at the same time. The first sails at 25 mph in a direction 340°. The second sails at 29 mph in a direction 210°. Assuming that both boats maintain speed and heading, after 5 hours, how far apart are the boats?

A. 157.4 mi
B. 212 mi
C. 175 mi
D. 244.8 mi

Answers

Answer 1

9514 1404 393

Answer:

  D. 244.8 mi

Step-by-step explanation:

The law of cosines can be used to find the distance between the boats.

The first boat will have traveled (5 h)×(25 mi/h) = 125 mi. The second boat will have traveled (5 h)×(29 mi/h) = 145 mi. The angle between their travel directions is 340° -210° = 130°.

  c² = a² +b² -2ab·cos(C) . . . . . for a=125, b=145, C=130°

  c² ≈ 59951.05

  c ≈ √59951.05 ≈ 244.8 . . . miles

The boats are about 244.8 miles apart after 5 hours.

Two Sailboats Leave A Harbor In The Bahamas At The Same Time. The First Sails At 25 Mph In A Direction

Related Questions

Solve for x step by step:

2(4x-3)-8=4+2x

Answers

Answer:

3

Step-by-step explanation:

2(4x-3)-8=4+2x

8x - 6 - 8 = 4 + 2x

8x - 2x = 4 + 6 + 8

6x = 18

x = 18/6

x = 3

Answer:

[tex]2(4x - 3) - 8 = 4 + 2x \\ 2 \times 4x + 2 \times - 3 - 8 = 4 + 2x \\ according \: to \: bodmas \: first \: \times then + or - \\ so \\ 8x - 6 - 8 = 4 + 2x \\ 8x - 14 = 4 + 2x \\ 8x - 2x = 4 + 14 \\ 6x = 18 \\ x = \frac{18}{6} \\ x = 3 \\ thank \: you[/tex]

What is the value of x that makes l1||l2?
A. 15
B. 25
C. 18
D. 29

Answers

Answer:

x = 29

Step-by-step explanation:

The angles are corresponding angles and corresponding angles are equal when the lines are parallel

3x+17 = 4x-12

Subtract 3x from each side

3x+17-3x = 4x-12-3x

17 = x-12

Add 12 to each side

17+12 = x-12+12

29 =x

Answer:

D. 29

Step-by-step explanation:

If you plug in 29 in the missing values for L1 and L2, you get

L1 = 3(29) + 17 = 104

L2 = 4(29) - 12 = 104

I know I am correct because since both L1 and L2 are parallel and T in cutting them, I know that they are both going to be the same degrees, 104.

So, your answer would be D. 29

Hope the helps! :)

[tex]5(x-6)+3=3/4(2x-8)[/tex]

Answers

Here’s the answer to your question
Hope you understand it!!

The sales tax for an item was $18.40 and it cost $460 before tax.
Find the sales tax rate. Write your answer as a percentage.

Answers

Answer:

4%

Step-by-step explanation:

item cost x sales tax rate = sales tax

460 x sales tax rate = 18.40

sales tax rate = 18.40/460

sales tax rate = .04 or 4%

Fill in the blank with a number to make the expression a perfect squared… W squared + 6w +

Answers

Answer:

[tex](a+b)^{2} =a^{2}+2ab+b^{2}[/tex]

[tex](1)w^{2}+2(3)(1)w+3^{2}\\\\=(w+3)^{2}\\\\=(w+3)(w+3)[/tex]

Therefore, [tex]w^{2} +6w+9[/tex] makes a perfect squared.

in a classroom of 15 men and 12 women, 2 different homework papers were selected at random. find the probability that both papers belonged to women

Answers

Answer:

24 papers belongs to women

A cylindrical tin has a radius of 3 cm. What is the shortes length of a string that can be wound once round the curved surface of the tin?(Takeby =3.14)​

Answers

Answer:

[tex]\pi = \frac{22}{7} [/tex]

Use this OK bro.

The shortest length (circumference) of the string is 18.84cm.

What is the circumference?

The circumference is that certain length that requires to enclose a  circle with respective of a fixed length known as radius. If radius of cylinder be r, then the circumference will be 2πr.

How to calculate the shortest length of the string to wound the cylinder once?

The required length of the string is the circumference of the base of the cylinder.

The radius of the cylinder is 3cm.

Taking π=3.14, the circumference will be : 2*3.14*3cm

=18.84cm

The shortest length of the string is 18.84cm.

Learn more about the circumference of circle hgere :

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A cell phone company charges a monthly fee of $18 plus five cents for each call. A
customer's total cell phone bill this month is $50.50. Use n to represent the number of
calls.

Answers

Answer:

650 calls

Step-by-step explanation:

so since you have 18$ per month plus 5 cents per call you would do

18+0.5n(n represent the number of calls)= the total fee of $50.50 cents.

thus,now you need to figure out how much the phone calls were without the monthly fee so you would do:

50.50-18=32.50

so 32.50 is the price of all the phone calls

then you divide 32.50 by 0.05 which equals to 650

meaning that n=650

hope I helped!

[infinity]
Substitute y(x)= Σ 2 anx^n and the Maclaurin series for 6 sin3x into y' - 2xy = 6 sin 3x and equate the coefficients of like powers of x on both sides of the equation to n= 0. Find the first four nonzero terms in a power series expansion about x = 0 of a general
n=0
solution to the differential equation.

У(Ñ)= ___________

Answers

Recall that

[tex]\sin(x)=\displaystyle\sum_{n=0}^\infty(-1)^n\frac{x^{2n+1}}{(2n+1)!}[/tex]

Differentiating the power series series for y(x) gives the series for y'(x) :

[tex]y(x)=\displaystyle\sum_{n=0}^\infty a_nx^n \implies y'(x)=\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty (n+1)a_{n+1}x^n[/tex]

Now, replace everything in the DE with the corresponding power series:

[tex]y'-2xy = 6\sin(3x) \implies[/tex]

[tex]\displaystyle\sum_{n=0}^\infty (n+1)a_{n+1}x^n - 2\sum_{n=0}^\infty a_nx^{n+1} = 6\sum_{n=0}^\infty(-1)^n\frac{(3x)^{2n+1}}{(2n+1)!}[/tex]

The series on the right side has no even-degree terms, so if we split up the even- and odd-indexed terms on the left side, the even-indexed [tex](n=2k)[/tex] series should vanish and only the odd-indexed [tex](n=2k+1)[/tex] terms would remain.

Split up both series on the left into even- and odd-indexed series:

[tex]y'(x) = \displaystyle \sum_{k=0}^\infty (2k+1)a_{2k+1}x^{2k} + \sum_{k=0}^\infty (2k+2)a_{2k+2}x^{2k+1}[/tex]

[tex]-2xy(x) = \displaystyle -2\left(\sum_{k=0}^\infty a_{2k}x^{2k+1} + \sum_{k=0}^\infty a_{2k+1}x^{2k+2}\right)[/tex]

Next, we want to condense the even and odd series:

• Even:

[tex]\displaystyle \sum_{k=0}^\infty (2k+1)a_{2k+1}x^{2k} - 2 \sum_{k=0}^\infty a_{2k+1}x^{2k+2}[/tex]

[tex]=\displaystyle \sum_{k=0}^\infty (2k+1)a_{2k+1}x^{2k} - 2 \sum_{k=0}^\infty a_{2k+1}x^{2(k+1)}[/tex]

[tex]=\displaystyle a_1 + \sum_{k=1}^\infty (2k+1)a_{2k+1}x^{2k} - 2 \sum_{k=0}^\infty a_{2k+1}x^{2(k+1)}[/tex]

[tex]=\displaystyle a_1 + \sum_{k=1}^\infty (2k+1)a_{2k+1}x^{2k} - 2 \sum_{k=1}^\infty a_{2(k-1)+1}x^{2k}[/tex]

[tex]=\displaystyle a_1 + \sum_{k=1}^\infty (2k+1)a_{2k+1}x^{2k} - 2 \sum_{k=1}^\infty a_{2k-1}x^{2k}[/tex]

[tex]=\displaystyle a_1 + \sum_{k=1}^\infty \bigg((2k+1)a_{2k+1} - 2a_{2k-1}\bigg)x^{2k}[/tex]

• Odd:

[tex]\displaystyle \sum_{k=0}^\infty 2(k+1)a_{2(k+1)}x^{2k+1} - 2\sum_{k=0}^\infty a_{2k}x^{2k+1}[/tex]

[tex]=\displaystyle \sum_{k=0}^\infty \bigg(2(k+1)a_{2(k+1)}-2a_{2k}\bigg)x^{2k+1}[/tex]

[tex]=\displaystyle \sum_{k=0}^\infty \bigg(2(k+1)a_{2k+2}-2a_{2k}\bigg)x^{2k+1}[/tex]

Notice that the right side of the DE is odd, so there is no 0-degree term, i.e. no constant term, so it follows that [tex]a_1=0[/tex].

The even series vanishes, so that

[tex](2k+1)a_{2k+1} - 2a_{2k-1} = 0[/tex]

for all integers k ≥ 1. But since [tex]a_1=0[/tex], we find

[tex]k=1 \implies 3a_3 - 2a_1 = 0 \implies a_3 = 0[/tex]

[tex]k=2 \implies 5a_5 - 2a_3 = 0 \implies a_5 = 0[/tex]

and so on, which means the odd-indexed coefficients all vanish, [tex]a_{2k+1}=0[/tex].

This leaves us with the odd series,

[tex]\displaystyle \sum_{k=0}^\infty \bigg(2(k+1)a_{2k+2}-2a_{2k}\bigg)x^{2k+1} = 6\sum_{k=0}^\infty (-1)^k \frac{x^{2k+1}}{(2k+1)!}[/tex]

[tex]\implies 2(k+1)a_{2k+2} - 2a_{2k} = \dfrac{6(-1)^k}{(2k+1)!}[/tex]

We have

[tex]k=0 \implies 2a_2 - 2a_0 = 6[/tex]

[tex]k=1 \implies 4a_4-2a_2 = -1[/tex]

[tex]k=2 \implies 6a_6-2a_4 = \dfrac1{20}[/tex]

[tex]k=3 \implies 8a_8-2a_6 = -\dfrac1{840}[/tex]

So long as you're given an initial condition [tex]y(0)\neq0[/tex] (which corresponds to [tex]a_0[/tex]), you will have a non-zero series solution. Let [tex]a=a_0[/tex] with [tex]a_0\neq0[/tex]. Then

[tex]2a_2-2a_0=6 \implies a_2 = a+3[/tex]

[tex]4a_4-2a_2=-1 \implies a_4 = \dfrac{2a+5}4[/tex]

[tex]6a_6-2a_4=\dfrac1{20} \implies a_6 = \dfrac{20a+51}{120}[/tex]

and so the first four terms of series solution to the DE would be

[tex]\boxed{a + (a+3)x^2 + \dfrac{2a+5}4x^4 + \dfrac{20a+51}{120}x^6}[/tex]

Question 4 (2 marks)
Justin works 14 hours at a normal pay rate of $24.80 per hour and 5 hours of overtime at
time and a half. How much should he be paid?
I
809 words
LE
English (Australia)

Answers

Answer:

554.7

Step-by-step explanation:

The pay=25.8*14+(25.8)*5*1.5=554.7

Look at image to see question

Answers

Answer:

Does the answer help you

Find the measure of each angle in the problem. TO contains point H.

Answers

Answer:

The angles are 45 and 135

Step-by-step explanation:

The two angles form a straight line, which is 180 degrees

c+ 3c = 180

4c = 180

Divide by 4

4c/4 =180/4

c = 45

3c = 3(45) = 135

The angles are 45 and 135

Answer:

45 and 135 ...

It is known that the variance of a population equals 1,936. A random sample of 121 has been selected from the population. There is a .95 probability that the sample mean will provide a margin of error of _____. Group of answer choices 31.36 or less 1,936 or less 344.96 or less 7.84 or less

Answers

Answer:

Option d (7.84 or less) is the right alternative.

Step-by-step explanation:

Given:

[tex]\sigma^2=1936[/tex]

[tex]\sigma = \sqrt{1936}[/tex]

   [tex]=44[/tex]

Random sample,

[tex]n = 121[/tex]

The level of significance,

= 0.95

or,

[tex](1-\alpha) = 0.95[/tex]

        [tex]\alpha = 1-0.95[/tex]

[tex]Z_{\frac{\alpha}{2} } = 1.96[/tex]

hence,

The margin of error will be:

⇒ [tex]E = Z_{\frac{\alpha}{2} }(\frac{\sigma}{\sqrt{n} } )[/tex]

By putting the values, we get

        [tex]=1.96(\frac{44}{\sqrt{121} } )[/tex]

        [tex]=1.96(\frac{44}{11} )[/tex]

        [tex]=1.96\times 4[/tex]

        [tex]=7.84[/tex]    

Eli takes the 17 apples home, and he bakes as many apple pies
as he can. He uses 7 apples in each pie. How many apple pies does
Eli bake? How many apples are left?

Answers

Answer:

2 with 3 left over

Step-by-step explanation:

17 divided by 2 is 14 with 3 remaining

Answer:

2 pies

Step-by-step explanation:

0.003 is 1/10 of
Please help I need this for homework !!!!!!!!!!!!

Answers

Answer:

0.03

Step-by-step explanation:

Which table represents a linear function?

Answers

Answer:

C

Step-by-step explanation:

C is the only function that have a consistent decrease while A is a trigonometric function, B is a non linear function, D is an exponential function

y varies directly as the cube of x. When x = 3, then y = 7. Find y when x = 4.

Answers

Answer:

[tex]y \: \alpha \: {x}^{3} \ \\ y \: = k {x}^{3} \\ where \: y = 7 \: and \:x = 3 \\ y = k {x}^{3} \\ 7 = k ( {3)}^{3} \\ 7 = 27k \\ k = \frac{7}{27} \\ \\ so \: \: y = \frac{7}{27} {x}^{3} \\ \\ y = \frac{7}{27} {4}^{3} \\ y = \frac{448}{27} [/tex]

the required value of y at x = 4 is 16.64.

Given that,
y varies directly as the cube of x. When x = 3, then y = 7.To determine the y when x = 4.

What is proportionality?

Proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.

Here,
y is directly proportional to the cube of x i.e
y ∝ x³
y = kx³   - - - - - (1)
where k is proportionality constant,
At x = 3 y = 7
7 = k (3)³
7 / 27 = k
k = 0.26
Put k in equation 1

y = 0.26 x³
Now at x = 4
y = 0.26 * 4³
y = 0.26 * 64
y =  16.64


Thus, the required value of y at x = 4 is 16.64.

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A company pays a bonus to four employees A, B, C, and D. A gets four times as much as B. B gets 50% of the amount paid to C. C and D get the same amount. If the total bonus is ¢1,800.00, set all necessary equations to ascertain the share of each employees.

Answers

Answer:

A = 800, B = 200, C = 400 Andy D = 400

Step-by-step explanation:

How to solve using quadratic equations 4x^2+7x-20=0

Answers

Answer:

Step-by-step explanation:

Y =  Ax2 Bx C

Enter coefficients here >>>  4 7 -20

   

Standard Form: y = 4x²+7x-20    

1.75 0.875 0.765625 3.0625 -23.0625

Grouped  Form: No valid Grouping      

   

Graphing Form: y = 4(x+0.88)²-23.06    

     

Factored Form: PRIME    

   

Solution/X-Intercepts: -3.28 AND 1.53    

   

Discriminate =369 is positive, two real solutions    

   

VERTEX: (-0.88,-23.06)     Directrix: Y=-23.13    

18/13 as a decimals ?

Answers

Answer:

1.3846

Step-by-step explanation:

A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial groups. Using the data provided below, conduct an F-test to determine whether you believe there is an association between race and average age at marriage.

Race N Mean
Black 113 25.39
White 904 22.99
Other 144 23.87
All Groups 1,161 23.33

Answers

Answer:

The P-value is < significance value ( 0.05 ) hence we reject the Null hypothesis ( i.e. There is an association between the race and average age at marriage )

Step-by-step explanation:

Conducting an F-test to determine association between race and average age at marriage

step 1 : State the hypothesis

H0 : ц1 = ц2 = ц3

Ha : ц1 ≠ ц2 ≠ ц3

step 2 : determine the mean square between

Given mean value of all groups = 23.33

SS btw = 113*(25.39 - 23.33)² +  904*(22.99 - 23.33)² + 144*(23.89 - 23.33)^2            = 113(4.2436) + 904(0.1156) + 144(0.3136)

= 629.1876

hence:  df btw = 3 - 1 = 2

             df total = 1161 - 1 = 1160

              df within = 1160 - 2 = 1158

              SS within = 36.87*1158 = 42695.46

Therefore the MS between =  629.19 / 2 = 314.60

The F-ratio = 314.59 / 36.87 = 8.53

using the values for Btw the P-value = 0.00021

The P-value is < significance value ( 0.05 ) hence we reject the Null hypothesis ( i.e. There is an association between the race and average age at marriage )

In a certain animal​ species, the probability that a healthy adult female will have no offspring in a given year is 0.24, while the probabilities of​ 1, 2,​ 3, or 4 offspring​ are respectively 0.25, 0.19, 0.17, and 0.15. Find the expected number of offspring. ​

Answers

Answer:

The expected number of offspring is 2

Step-by-step explanation:

The given parameters can be represented as:

[tex]\begin{array}{cccccc}x & {0} & {1} & {2} & {3} & {4} \ \\ P(x) & {0.24} & {0.25} & {0.19} & {0.17} & {0.15} \ \end{array}[/tex]

Required

The expected number of offspring

This implies that we calculate the expected value of the function.

So, we have:

[tex]E(x) = \sum x * P(x)[/tex]

Substitute known values

[tex]E(x) = 0 * 0.24 + 1 * 0.25 + 2 * 0.19+ 3 * 0.17 + 4 * 0.15[/tex]

Using a calculator, we have:

[tex]E(x) = 1.74[/tex]

[tex]E(x) = 2[/tex] --- approximated

32% adults favor the use of unmanned drones by police agencies. Twelve u.s. adults are randomly selected. Find the probability that the number of u.s. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight

Answers

Answer:

C

Step-by-step explanation:

32% of 12 =

32/100 x 12

= 3.84

So, C would be the correct choice

I wasn't sure about my answer so used the Gauthmath App

Yesterday, Kofi earned 50 cedis mowing
Lawns. Today, Kofi earned 60% of what he
earned yesterday moving lawns - How much
Money did kojo earn moving laws today?

Answers

Answer:

75cedis

[tex]50 = 40\% \\ 60\%[/tex]

The amount of money Kofi earned today from mowing lawns is 30 cedis.

Percentage can be described as a fraction of a number multiplied by 100. Percentage is represented with this sign - %.

In order to determine the amount Kofi earned today, this formula would be used:

Percentage Kofi earned today x amount Kofi earned yesterday

60% x 50 cedis

0.6 x 50 cedis

= 30 cedis

To learn more about percentages, please check: https://brainly.com/question/92258?referrer=searchResults

Factorize cos²A+3cosA+2

Answers

Answer:

(cosA+2)(cosA+1)

Step-by-step explanation:

cos^2A+cosA+2cosA+2

=cos(A)(cosA+1)+2(cosA+1)

=(cosA+2)(cosA+1)

At a restaurant, two burgers and one fries cost 6. 50. What is the cost of six burgers and three fries

Answers

Answer:

19.5

Step-by-step explanation:

let burger be x and fries be y

2x+y = 6.5

6x+3y = 3(2x+y) =3(6.5) =19.5

Situation 1 Riverbed Cosmetics acquired 10% of the 215,000 shares of common stock of Martinez Fashion at a total cost of $12 per share on March 18, 2020. On June 30, Martinez declared and paid $74,000 cash dividend to all stockholders. On December 31, Martinez reported net income of $127,600 for the year. At December 31, the market price of Martinez Fashion was $13 per share.
Situation 2 Marin, Inc. obtained significant influence over Seles Corporation by buying 30% of Seles's 31,300 outstanding shares of common stock at a total cost of $9 per share on January 1, 2020. On June 15, Seles declared and paid cash dividends of $36,600 to all stockholders. On December 31, Seles reported a net income of $80,100 for the year.
Prepare all necessary journal entries in 2020 for both situations. (Credit account titles are automatically indented when amount is entered. Do not indent manually. If no entry is required, select "No Entry" for the account titles and enter for the amounts.)

Answers

Answer:

Riverbed Cosmetics and Martinez Fashion

March 18, 2020:

Debit Investment in Martinez Fashion $2,580,000

Credit Cash $2,580,000

To record the acquisition of 10% of the 215,000 shares of common stock

June 30, 2020:

Debit Cash $7,400

Credit Dividend Income $7,400

To record dividend income received ($74,000 * 10%).

December 31, 2020:

Debit Investment in Martinez Fashion $215,000

Credit Unrealized Gain $215,000

To record the unrealized gain from the increase in share price.

Situation 2:

Marin, Inc. and Seles Corporation

January 1, 2020:

Debit Investment in Seles Corporation $84,510

Credit Cash $84,510

To record the 30% of Seles's 31,300 shares acquired at a total cost of $9 per share.

June 15, 2020:

Debit Cash $10,980

Credit Investment in Seles Corporation $10,980

To record the 30% of $36,600 dividends paid to all stockholders.

December 31, 2020:

Debit Investment in Seles Corporation $24,030

Credit Retained Earnings $24,030

To record the company's share of the net income.

Step-by-step explanation:

a) Data and Analysis:

Riverbed Cosmetics and Martinez Fashion

March 18, 2020: Investment in Martinez Fashion $2,580,000 Cash $2,580,000 10% of the 215,000 shares of common stock

June 30, 2020: Cash $7,400 Dividend Income $7,400 ($74,000 * 10%)

December 31, 2020: Investment in Martinez Fashion $215,000 Unrealized Gain $215,000

Situation 2:

Marin, Inc. and Seles Corporation

January 1, 2020: Investment in Seles Corporation $84,510 Cash $84,510

30% of Seles's 31,300 outstanding shares of common stock at a total cost of $9 per share

June 15, 2020: Cash $10,980 Investment in Seles Corporation $10,980

30% of $36,600 paid to all stockholders.

December 31, 2020: Investment in Seles Corporation $24,030 Retained Earnings $24,030

What is the approximate length of arc s on the circle below? Use 3.14 for Pi. Round your answer to the nearest tenth.

-5.8 ft
-6.3 ft
-27.5 ft
-69.1 ft

Answers

9514 1404 393

Answer:

  69.1 ft

Step-by-step explanation:

The diameter of the circle is 24 ft. The length of the arc is more than twice the diameter, so cannot be less than about 50 ft. The only reasonable choice is ...

  69.1 ft

__

The circumference of the circle is ...

  C = 2πr = 2(3.14)(12 ft) = 75.36 ft

The arc length of interest is 330° of the 360° circle, so is 330/360 = 11/12 times the circumference.

  s = (11/12)(75.36 ft) = 69.08 ft ≈ 69.1 ft

Answer:D

Step-by-step explanation:

Find m∠F.
Find the answer to m∠F

Answers

Answer:

m∠F = 45°

Step-by-step explanation:

Notice the lengths of the given sides and the right angle. This is enough information to prove that this is a 45-45-90 triangle, or just basically a square cut diagonally.

Regardless if even just one side is given for a 45-45-90 triangle, all 45-45-90 triangles have one thing in common. The sides that form the right angle are equivalent and the hypotenuse is equal to one of the sides that form the right angle times the square root of two. I'm aware that it sounded confusing, as I'm awful at explaining, so just look at the picture I've attached instead of trying to understand my explanation that seemed like trying to learn a second language.

Look at the picture. See that FD = x times that square root of 2 and that DE = x. Now look back at your picture. It's connecting, now isn't it?

Now that we know that this is indeed a 45-45-90 triangle, we can confirm that m∠F = 45°

A 10-item statistics quiz was given to 30 students. The table below gives the scores received along with the corresponding frequencies.

A 2-column table with 6 rows. Column 1 is labeled score with entries 5, 6, 7, 8, 9, 10. Column 2 is labeled Frequency with entries 1, 2, 5, 5, 7, 10.

What was the mean score on the quiz?

7.5
8.5
9
10

Answers

Answer:

Should be (B).

8.5

ED2021

Answer: B

Step-by-step explanation:

Other Questions
Find the equation of the line that is parallel to f(x) and goes through point (-1,7). 1. A set is said to be a singleton set,iga) n (A)=1 b) n (A)=0 El estado de California usa un sistema de trnsito.para rehabilitar a los infractores crnicos de leyes Help me! Thanks!!!!!! cos theta Root over 1 - cos square theta Beck Inc. and Bryant Inc. have the following operating data: Beck Inc. Bryant Inc. Sales $336,700 $1,092,000 Variable costs 135,100 655,200 Contribution margin $201,600 $436,800 Fixed costs 138,600 268,800 Income from operations $63,000 $168,000 a. Compute the operating leverage for Beck Inc. and Bryant Inc. If required, round to one decimal place. Find x in the given figure A: 60B: 55C: 125D: 35 Choose the correct statements about the ROC curve.A. By plotting the true-positive rate against the false-positive rate for different threshold values, the ROC curve can be used to select the optimal model.B. ROC stands for Receiver Operating Characteristic curve, which was originally developed to detect enemy aircrafts on radar.C. The ROC curve is a useful diagnostic tool for determining the optimal classification model.D. The ROC curve was originally developed to optimize healthcare and detect congestive heart failure readmission rate. How can a simulation study be used to learn about a planet we have never visited?In a simulation study you imitate some conditions and characteristics of the real planet. The simulation can be used as a substitute for real data collected on the planet.Simulation studies can be used for planets we have already visited.In a simulation study you imitate as many conditions and characteristics as possible of the real thing, in this case the planet you have not visited. By simulating as many conditions as possible you can visualize what the planet might be like and learn things about it without actually visiting it.Simulation studies cannot be used to learn about a planet we have never visited because we do not know anything about the planet. Please help me from 1 to 20 please Look at the graph shown.Which equation best represents the line? (4 points)y = 1 over 3.x 1y = 3x 1y = x + 1 over 3.y = 3x + 1 Find the product: 12 x 3/5 = Find the total surface area of this square basedpyramid.10 in5 in A government that has the power to make and enforce law but which lacks the acceptance of the people is said to have which of the following? Please help me I need this so I can get off my computer it's so late rn convert 8 1/10 into an improper fraction What is medicine and who created it El 5 de diciembre se solicit un prstamo por USD.275,000, negociado al 6.5%de inters anual a un plazo de 5 aos. Los pagos de capital e intereses se harnmensualmente. a. What is energy? Write its unit. subject science Name at least two extinct species that share a close evolutionary relationship with humpback whales.