A helicopter is flying from Hong Kong to Jakarta. The latitude of Jakarta is -6.20°, and its longitude is 106.80°. The latitude of Hong Kong is 22.27°, and its longitude is 114.15°. What is the helicopter’s net change in latitude and longitude as it travels from Hong Kong to Jakarta?
A. -28.47° latitude and 7.35° longitude
B. -28.47° latitude and -7.35° longitude
C. 28.47° latitude and -7.35° longitude
D. 38.34° latitude and 220.95° longitude
E. -38.34° latitude and 220.95° longitude

Answer:

20s³ + 50s² + 32s + 6

Step-by-step explanation:

( 4s + 2 ) ( 5s² + 10s + 3)

use the distribution property:

20s³ + 40s² + 12s + 10s² + 20s + 6

combine like terms:

20s³ + 50s² + 32s + 6

therefore

the expand value = 20s³ + 50s² + 32s + 6

Answer:

Step-by-step explanation:

Maybe you want to simplify each of these expressions.

  2a -1/2a = (2 -1/2)a = (3/2)a

__

  3a -1/3a = (3 -1/3)a = (8/3)a

J = 0 because it is the midpoint of K and P.

Since we know that K is at -5 and P is at 5, KP = 10

Both KP and JQ are equal to 10, therefore, they are equal.

Answer:

14. j=0

15. KP=10

16. yes

Step-by-step explanation:

(The two letters next to each other means that the question is asking for the distance between the points. For example, KP is the distance from K to P, or P to K.)

14.:

If P is the midpoint of J and Q, that means that there is an equal distance between Q and P and J and Q. So, you can see this because

Q-P=5 and 5*2= J

So the distance from J to Q is 10, but to find what J is, subtract the distance from Q, leaving you with 0. So, J=0.

15.:

Since each line represents 5 and the distance from -5 to 5 is 10, KP = 10.

16.:

Since KP = 10 and JQ = 10, then yes, they are the same.

Company A's revenue was $239 million whereas Company B's was $467 million as a result revenue for Company A was equal to 52% of that for Company B. ​

It shows the proportion between two integers when stated as a decimal fraction of 100 parts. It is a statistic used to compare two sets of data, and the sign % is used to represent it as a percentage.

It is given that, the revenue for Company A was ​$239 ​million, compared to ​$467 million for Company B.

We have to find the % by which A was revenue for Company B.

Suppose  x% by which A was revenue for Company B.

⇒$467 of x =$239

⇒467×x​=239

⇒x=239/467

⇒x=0.5177 ≈ 0.52

⇒x%=52%

Thus, the revenue for Company A was equal to 52% of that for Company B. ​

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Answer:

$8

Step-by-step explanation:

In debt at $20 (like an overdraft) = -20

To make a $10 purchase = -10 on the account

Total debt = -20 + (-10)

                 = -30

You deposit $38 (this is what you added to your account.) = +38

Balance of the checking = -30 + (+38)

                                         = $8

I really hope this helps. If I am right, please thank, rate 5 stars, and give brainliest. Thank you.

Answer: YES

Step-by-step explanation:

THREE WAYS TO DETERMINE:

If the number given is in integer, it is rational.

If the number given is fraction, it is rational.

If the number given is decimal, as long as it is terminating or repetitive decimal, it is rational. (Because then you can write it as a fraction which leads to the second point)

----------------------------------------------------

-5 3/8

It is a fraction, which fits the second point.

Hope this helps!! :)

Answer: 7.808.

Take the 2 values and multiply them together using the digits

Answer:

Step-by-step explanation:

From the given information.

suppose a multiple choice test consists of 5 questions, each with 4 possible answers of which 1 is correct.:

So, we can now suggest that a person can answer each question in 4 different ways given that there are 5 different questions.

Thus, the  students can check off one answer to each question in [tex]4^5 \ different \ ways[/tex]

= 4 × 34 × 4 × 4 × 4

= 1024 different ways.

From the 4 possible answers, since 1 will be correct, definitely 3 other answers will be incorrect.

Thus, the number of ways a student can check off one answer to each question and get all the answers wrong is = 3⁵

= 3 × 3 × 3 × 3 × 3

= 243 ways

Answer:

He has 13 red marbles

Step-by-step explanation:

add 19 and 23

19+23=42

Subtract 42 from 55

55-42=13

Hey there!

Alex has 55 marbles. He has 19 green marbles and 23 blue how many red marbles does he have ?

Let's add the green marbles and blue marbles together.

[tex]19+23=42[/tex]

So now let's subtract 42 from 55.

[tex]55-42=13\\13(ANSWER)[/tex]

So now there is 13 left. That is your answer.

Hope this helps!

[tex]-TestedHyperr[/tex]

Answer:

  7k

Step-by-step explanation:

  −k−(−8k) = -k +8k = 7k

Answer:

12x+28 I think

Step-by-step explanation:

4•3x+7

12x+(4•7)

12x+28

Answer:

[tex]\huge\boxed{\boxed{12x+28}}[/tex]

Step-by-step explanation:

Hello.

The Distributive Property states that

a(b+c)=ab+ac, where a, b, and c can be constants (numbers) or variables (letters).

Now that we know the formula, it's time to simplify! :)

The expression is:

4(3x+7)

Multiply 4 times 3x and 4 times 7:

4×3x=12x

4×7=28

Put the terms together:

12x+28

Can we simplify this expression? No, because 12x and 28 are not like terms.

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Answer:

RS = 2.4 cm

Step-by-step explanation:

RS + ST = RT

RS + 1.6 = 4

Subtract 1.6 from both sides.

RS = 4 - 1.6

RS = 2.4 cm

Answer:

-2

Step-by-step explanation:

because it is tilted so z+4 +2 so -2+4=2

Answer:

if you do 6-8

Step-by-step explanation:

6-8 = -5 because if you subtract 8 from 6 you will still have -5

I hope it will help you :)

Answer:

6,12,18 days

Step-by-step explanation:

Just add 6 to 12 or 6 x 3

6th, 12th and 18th are the first 3 days that he will do both on the same day.

A number system is defined as a system of writing to express numbers

Given that Chris is going to play baseball every 2 days and he is going to play soccer every 3 days.

We need to find the three days that he will do  both on the same day

To find this we need to find the common multiples between 2 and 3.

The multiples of 2 are 4, 6, 8, 10,12, 14, 16, 18..

The multiples of 3 are 6, 9, 12, 15, 18...

Let us take first three common multiples of 2 and 3

Which are 6, 12 and 18

Hence, 6th, 12th and 18th are the first 3 days that he will do both on the same day.

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Answer:

See Explanation

Step-by-step explanation:

Given

[tex]7.5d = 2.5d[/tex]

Analyzing Lin's

[tex]\frac{7.5d}{2.5d} = \frac{2.5d}{2.5d}[/tex]

[tex]3 = 1[/tex]

This isn't a solution because [tex]3 \neq 1[/tex]

Analyzing Elena's

[tex]7.5d - 2.5d= 2.5d-2.5d[/tex]

[tex]5d = 0[/tex]

Divide through by 5

[tex]d = 0[/tex]

Hence;

Going by the analysis above; only Elena's  move will lead to a solution

Yes.

8/7 (1 1/7) is rational.

Answer:

Step-by-step explanation:

To find explicit formulas, you need two things. The common difference and the first term.

For example, #18

The first term = -15

The common difference = -20 -(-15) = -20 + 15 = -5

y = A + B(n - 1)

A = our first term

B = our common difference

n = the term you want to find in the sequence.

Leta plug our numbers in from #18

y = -15 + -5(n - 1)

Let's find the 4th term in the sequence.

y = -15 + -5(4 - 1)

y = -15 + -5(3)

y = -15 + -15

y = -30

Answer: x = 7

Step-by-step explanation: 16x = 4x + 84

15) The value of x would be 20.

16) The measure of angle BFH would be 100.

17) The value of x is, 7

Used the concept of angles in a parallel line which states that,

if a transversal intersects two parallel lines, the corresponding angles will be always equal.

Alternate angles are angles that occur on opposite sides of the transversal line and have the same size.

Given that,

In Figure 15, both angles are corresponding angles.

And, in Figure 17, both angles are Alternate angles.

Now, by definition of Alternate and Corresponding angles we get;

17) The angles DBF and angle EFB are congruent.

So, it can be equal.

16x = 4x+ 84

Subtract 4x on both sides,

16x - 4x = 84

12x = 84

Divide 12 on both sides,

x = 84/12

Therefore, the value of x is,

x = 7

15) The angles of CBD and BFH are conguent.

So, It can be equal.

5x = 3x + 40

Subtract 3x on both sides,

5x - 3x = 40

2x = 40

Divide 2 on both sides,

x = 40/2

x = 20

16) So, the measure of angle BFH is,

∠BFH = 3x + 40

= 3 × 20 + 40

= 60 + 40

= 100

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Answer:

If a new car was purchased for a cost of $16,183.11, and a down payment of 10% of the value was made, the initial payment was $1,618.31.

Thus, the remaining amount to be financed is $14,564.79. It will be financed in 4 years, at an annual interest rate of 11.5%, for four years. Thus, the total interest will be 46% (11.5 x 4), to be distributed among the 4 years of the financing. Then, the total amount to be paid will be $21,264.59, which will be paid in 48 equal monthly payments of $443.01 (21,264.59 / 48).

Answer: I need more information :)

Step-by-step explanation:

Answer:

The answer is line EF, C is the correct answer!

Step-by-step explanation:

Just took the assignment. Maybe this will help you with your other problems with slopes and angles. If you have any more questions for me, I'll answer them! :D

The perpendicular line is line EF.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane. Calculating the slope of a line is similar to finding the slope between two different points. In general, to find the slope of a line, we need to have the values of any two different coordinates on the line.

Slope = m = tan θ

m = (y2 - y1)/(x2 - x1)

Given:

slope = -1/3

then, the perpendicular line will have the slope = 3

Now, from the figure the line line represent the slope 3 is line EF

As, (0, -3) and (2, 3)

slope = 3+3 / 2-0

slope= 6/2

slope= 3

Hence, the perpendicular line is line EF.

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Answer:

x(t) = 581.66 lb

Step-by-step explanation:

From the given information:

Consider the salt quantity in the tank at time t be x(t) lb.

∴ the rate of change of salt content in the tank is [tex]\dfrac{dx}{dt}= Rate \ of \ \ inflow - rate \ of \ \ outflow[/tex]

where:

the rate of inflow = salt conc. × flow rate = 3 lb/gallon × 7 gallons

=21 lb/s

rate of outflow = salt conc. in the tank  × flow rate

= x/250 ×  9

= 9x/250  lb/s

∴

[tex]\dfrac{dx}{dt} = 21 - \dfrac{9x}{250}[/tex]

[tex]\dfrac{dx}{dt} + \dfrac{9x}{250}= 21[/tex]

This is a 1st order linear differentiation,

The integrating factor if [tex]e^{^{ \int \dfrac{9}{250}\ dt}} = e^{^{ \dfrac{9t}{250} }}[/tex]

∴

[tex]e^{^{ \dfrac{9t }{250}}} \ \ x(t) = \int 21 e^{\dfrac{9t}{250}} \ dt + C[/tex]

[tex]e^{^{ \dfrac{9t }{250}}} \ \ x(t) = 21 \times \dfrac{250}{9}e^{\dfrac{9t}{250}} + C[/tex]

[tex]x(t) = \dfrac{1750}{3}+Ce^{^{\dfrac{-9t}{250}}}[/tex]     at  t = (0) and x(0) = 100 lb

Hence;

[tex]100 = \dfrac{1750}{3}+C[/tex]

[tex]C = \dfrac{1750}{3} -100[/tex]

[tex]C = - \dfrac{1450}{3}[/tex]

∴[tex]x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-9t}{250}}}[/tex]

after time t = 1 minute i.e 60 s

[tex]x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-9 \times 60}{250}}}[/tex]

[tex]x(t) = \dfrac{1750}{3}-\dfrac{1450}{100}e^{^{\dfrac{-540}{250}}}[/tex]

x(t) = 581.66 lb

Hey there!

[tex]10*10*10*10*10*10*10 \text{ as a power}[/tex]

To write as power, you will see how many times you multiply the number 10.

[tex]10(1)*10(2)*10(3)*10(4)*10(5)*10(6)*10(7)\\\text {It was multiplied 7 times}[/tex]

Since it was multiplied 7 times, you would write it like this.

[tex]10^7(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]