Two jets leave an air base at the same time and travel in opposite directions. One jet travels 60 /mih faster than the other. If the two jets are 7848mi apart after 6 hours, what is the rate of each jet?

3/(3 - 12i)

To simplify this, multiply both sides by (3 + 12i)

(3 - 12i)(3 + 12i)

Distributive property.

3(3 + 12i) - 12i(3 + 12i)

9 + 36i - 36i - 144i^2

Simplify.

9 - 144i^2

i^2 can be interpreted as -1.

9 + 144

Combine like terms.

153 is the simplified version of the bottom half of the expression.

Now for the top half.

3(3 + 12i)

Distributive property.

9 + 36i

We can simplify this further by factoring.

3(3 + 12i)/153

1 + 4i/17

1/17 + 4i/17 is the simplified version of the expression. (This is your answer.)

Let me know if you have any other questions.

To write the expression in standard form, divide 3 by the quantity 3 - 12i and rationalize the denominator by multiplying by the conjugate of the denominator to simplify to (3 + 12i)/51.

To write the expression in standard form, ​​3 divided by (3 - 12i), you need to rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator to eliminate the imaginary part. The conjugate of 3 - 12i is 3 + 12i.

Therefore, multiplying by the conjugate gives you: (3/(3 - 12i)) x ((3 + 12i)/(3 + 12i)).

This simplifies to the standard form: (3(3 + 12i))/(3^2 - (12i)^2) = (3(3 + 12i))/(9 + 144) = (3 + 12i)/51.

answer: the first graph

explanation:

it would not be the second one because it is a slope (y = mx + b) and so would be the third choice.

i don't think it would be the last one because it's going only up to 40. which the equation say only y = 1/x and it's not a big number equation.

hope this helps! ❤  from peachimin

i attached this image which is sorta similar to the the to this equation:

Answer: B) 90

Since c is perpendicular to b (given) and line 'a' is parallel to line c (also given), this means line 'a' is perpendicular to line b.

Put another way, angles 5, 6, 7, 8 are all 90 degrees (since c is perpendicular to b). If a || c, then angles 2 and 6 are corresponding angles that are congruent.

So this is why angle 2 is also 90 degrees.

Hi,

Here is the solution.

3 years = 36 months

Leased amount for 3 years = $3000 + 36*350

= $3000 + $12600

Leased amount for 3 years = $15600

Residual value = $12000

Assume you didn't buy the car, you took it for lease, so your expense = $15600.

Now Assume you bought the car for $21,000.

After using 3 years, you can sell it for $12000.

Your expense = $21,000 - $12,000 = $9000.

Conclusion:

It is less expensive to buy the car.

The cost for buying the car and selling it after 3 years = $9000.

Hope you will understand the steps. Thank you :)

To maintain the ratio of 3:2 for yellow to blue paint, if Jack uses 18 pints of yellow paint, he needs to use 12 pints of blue paint.

In this problem, Jack is using a ratio of 3 pints of yellow paint for every 2 pints of blue paint. This ratio simplifies to 3:2. If he uses 18 pints of yellow paint, we can set up a simple proportion to find out how much blue paint he should use.

Yellow : Blue = 3 : 2 = 18 : x. To solve for x, we cross-multiply: 3*x = 2*18. Which leads us to 3x = 36, and dividing both sides by 3 gives x = 12. Therefore, Jack should use 12 pints of blue paint.

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I will try my best to assist you with your question!

Tricky question... they want you to think that it needs to be 5/3, but it is 5/4

5/4 = 1.25

1.25 = 1 1/4

Each friend gets 1 1/4 of the 5 candy bars.

Hope I helped!

Good Luck!

Answer:  Charlie's down payment to purchase home is $30,000.

Step-by-step explanation:

Given that :- Charlie purchased a home for price = $300,000

Mortage company requires a down payment of =10% of price of home

Therefore, Charlie's down payment = 10% of price for home

⇒Charlie's down payment =10% of  $300,000

⇒Charlie's down payment =0.1 × $300,000

⇒Charlie's down payment =$30,000.

Thus, Charlie's down payment to purchase home is $30,000.

f(x) = y

f(5) = -3 therefore the point is (5, -3).

Answer:

5.2

Step-by-step explanation:

Distance between numbers would mean subtraction.

6.4 subtracted by 1.2 would come to 5.2.

Hope this helped!

To determine when a sunflower reaches a height of 3 meters, given it grows at a rate of 30 cm per week, we divide 300 cm by 30 cm per week to find that the sunflower will reach the height in the 10th week.

The question asks us to determine in which week a sunflower, which can grow 30 cm each week, reaches a height of 3 meters.

Calculation of Weeks Required for Sunflower to Reach 3 Meters:

Firstly, we need to convert the final desired height from meters to centimeters, since the growth rate is given in centimeters per week:

3 meters = 300 centimeters

Next, we divide the final desired height by the weekly growth rate to find the number of weeks:

300 cm / 30 cm/week = 10 weeks

Therefore, the sunflower reaches a height of 3 meters in the 10th week.

Answer:

1/2

Step-by-step explanation:

The angle 5pi/3 shows up in the 3rd quadrant and is equivalent to the angle 300 degrees.  The "reference angle" of 300 degrees is 60 degrees; the reference angle in this case has the same trig function values as does 300 degrees.  Thus, the cosine of 5pi/3 is the same as the cosine of 60 degrees, which is 1/2.

Using equivalent angles, it is found that:

[tex]\cos{\left(\frac{5\pi}{3}\right)} = \frac{1}{2}[/tex]

[tex]\frac{5\pi}{3}[/tex] is an angle in the fourth quadrant, as [tex]\frac{2\pi}{3} \leq \frac{5\pi}{3} \leq 2\pi[/tex].

To find the equivalent in the first quadrant to an angle in the fourth quadrant, we subtract [tex]2\pi[/tex] from the angle, then:

[tex]2\pi - \frac{5\pi}{3} = \frac{6\pi}{3} - \frac{5\pi}{3} = \frac{\pi}{3}[/tex]

Just as in the first quadrant, the cosine is positive in the fourth quadrant, thus, applying the equivalent angle:

[tex]\cos{\left(\frac{5\pi}{3}\right)} = \cos{\left(\frac{\pi}{3}\right)} = \frac{1}{2}[/tex]

A similar problem is given at https://brainly.com/question/23843479

Let us calculate the area of the walk.

Since the width of the walk is 3 feet, and the walk will be placed all the 4 sides,

Length of the plot including walk = 20 + (2 × 3) = 20 + 6 = 26 feet.

Breadth of the plot including walk = 30 + (2 × 3) = 36 feet.

Area of the plot including walk = 26 × 36 square feet.

Area of the plot = 20 × 30 square feet.

Area of the walk = (26 × 36) - (20 × 30)

= 936 - 600

= 336 square feet.

= [tex]\frac{336}{3(3)}[/tex] square yards

= 37.3 square yards

Cost of the walk per square yard = $12.25.

Therefore, total cost of the walk = 12.25 × 37.3 = $456.92.

Answer:

7 m3

Step-by-step explanation:

got it right on edgen

Let's say the cost to feed each horse is $5.00.

The expression would be written as:

(5.00)h or simplified as 5h

This is because you are multiplying the cost for feeding each horse by the amount of horses, represented as h.

If you are feeding 6 horses you would substitute the h for 6 giving you the expression:

5(6)

which equals $30 total.

Hope this helps and have a nice day! :)

Answer:

Option C. (4, -1, 3)

Step-by-step explanation:

The given system of equations is

x + y + z = 6 -----(1)

x - y + z = 8 ------(2)

x + y - z = 0 -----(3)

We subtract equation 1 by 3

(x + y + z) - (x + y - z) = 6 - 0

z + z = 6

2z = 6

z = 3

Now we subtract equation 1 by 2

(x + y + z) - (x - y + z) = 6 - 8

2y = -2

y = -1

Now we put the values of x and y in equation 1

x + (-1) + 3 = 6

x + 2 = 6

x = 6 - 2 = 4

Therefore, the solution of the equations is (4, -1, 3).

Option C is the answer.

1/2 inch = 0.5 inches

The circumference of a circle is equal to: π * diameter.

0.5 * 3.14 = 1.57 inches

​Question 1.) 267.935:39=

Answer 1.) 6.870 approximately​

Question 2.) 689.354:78​

Answer 2.) 8.838 approximately​

Question 3.) 96.873:56​

Answer 3.) 1.730 approximately​

Explanation : Since the numerators are expressed in thousandths, the answers must be expressed in thousandths too.​

​Hope this helps!​​​​

​[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​​

To find the percent of change, subtract to find the amount of change

387 - 207 = 180. The increase is 207.

Then divide the amount of change by the original amount

207 ÷ 180 = 1.15

Change the decimal to a percent, and multiply the number by 100:

1.15 X 100 = 115

The answer is 115%

Answer:

y= -23.8

Step-by-step explanation:

I don't know if this is the right answer but you can try

When x is -6, y is approximately -23.8.

The given equation is y = 2 + 4.3x, and you want to find the value of y when x = -6.

Substitute x = -6 into the equation:

y = 2 + 4.3 * (-6)

Now, calculate the value:

y = 2 - 25.8

Simplify:

y = -23.8

When x = -6, the value of y is -23.8.

This means that if you plug in x = -6 into the equation, you will get y = -23.8 as the corresponding y-coordinate on the graph.

This represents a point on the line described by the equation y = 2 + 4.3x when x is -6, y is -23.8.

for such more question on value

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Same side.  Locate -3.9 on the number line.  Then -0.99 is to the right of -3.9, with both numbers being on the same side (that is, on the left side) of zero.

Same side, think of it as a number line. there is a left side for negitives, and a right for positives. Every negitive number is on the same side, while the positives have their own side too. Only if it was a positive with a negitive it would be on opposite sides.

Answer:

24

Step-by-step explanation:

3 x 4 x 2

you can use the order of operations

PEMDAS parentheses, exponents, multiplication, division, addition, subtraction

so you would do

3 x 4 = 12

12 x 2 = 24

so the answer would be, 24

Answer:

24

Step-by-step explanation:

3 x 4 = 12

12 x 2 = 24

you can also try this method:

3 x 2 = 6

6 x 4 = 24

1. 5.8 x [tex]10^{7}[/tex]

2. 2.5 x [tex]10^{3}[/tex]

hope that helps :)

Answer:

Missing same value is 0.02

Step-by-step explanation:

Instead of multiplying big decimal numbers we put short cut by making 0.98 as a difference of near integer and one decimal.

i.e 0.98 =1-0.02

Since 0.02 is the same for other also other term

0.73 = 0.75-0.02

Now product can be done very easily.

Steps are shown below:

0.98x0.73

= (1-0.02) (0.75-0.02)

= 0.75 -0.02(1+0.75)+0.0004

= 0.7504-(0.035)

= 0.7154

=0.44

-3.3=[tex]\frac{x}{6}[/tex]

Multiply both sides of the equation by 6 to isolate x.

-19.8=x

Your answer is -19.8.

I hope this helps :)

the answer is x=-19.8

                                      hope it helps mark me the brainlyest

The total change in the tram's elevation is 567 meters.

The total change in the tram's elevation can be found by multiplying the upward speed by the time it was moving. In this case, the tram moved upward at a speed of 9 meters per second for 63 seconds. So, the total change in elevation would be 9 meters per second multiplied by 63 seconds, which equals 567 meters.

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