A plane takes off from an airport on the bearing S 29°W. It continues for 20 minutes then changes to bearing S 52°W and flies for 2 hours 20 minutes on this course then lands at a second airport. If the plane's speed is 420 mph, how far from the first airport is the second airport? Round to the nearest mile.
A. 1011 mi
B. 1111 mi
C. 1010 mi
D. 1110 mi

Answer:

The answer is "[tex]\log(x-3)- \log(2)[/tex]"

Step-by-step explanation:

The asymptote is that when the group is 0 within. Let's all assume that log base 2 is: Log(ax-b); a position mostly online also they know. Let's use this (5,0)  and log(5a-b)=0; they get out of it 5a-b=1; now that the results for a and b must be known. So we can say unless the asymptote is x=3, 3a-b=0; then we have the equations system, and with a and b we can solve

[tex]\to b=5a-1 \\\\ \therefore\\\\\to 3a-(5a-1)=0\\\\\to 3a-5a+1=0\\\\\to -2a+1=0\\\\\to -2a=-1\\\\\to a=\frac{1}{2} \ and\ b= \frac{3}{2}[/tex]

[tex]\to \log(\frac{x}{2}-\frac{3}{2})\\\\\to \log(\frac{(x-3)}{2})\\\\\to \log(x-3)- \log(2)[/tex]

The factored expression of 9x^2 - 1 is (3x -1)(3x + 1)

The polynomial expression is given as:

9x^2 - 1

Express 9x^2 as a perfect square

(3x)^2 - 1

Apply the difference of two squares

(3x -1)(3x + 1)

Hence, the factored expression of 9x^2 - 1 is (3x -1)(3x + 1)

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Answer:

Craig's collection increased by 20%.

Step-by-step explanation:

Original amount: 10

New amount: 12

To find the percent increase, we first need to find how much Craig's record collection increased by. To do this, subtract the old amount from the new amount:

12 - 10 = 2

The amount his collection increased by is 2. To find the per cent increase, divide 2 by the original amount of records:

[tex]\frac{2}{10}=\frac{1}{5}= 0.20[/tex]

Convert the decimal into a percentage:

0.20 * 100 = 20%

The percent increase of Craig's record collection is 20%.

[tex] {( \sqrt{9)} }^{2} [/tex]

[tex] ={3}^{2} [/tex]

[tex] = 9[/tex]

[tex] {9}^ \frac{1}{2} [/tex]

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

[tex] = 3 ^{1} [/tex]

[tex] = 3[/tex]

Answer:

[tex]f''(x)=36x^2+4[/tex]

Step-by-step explanation:

Let's start by finding the first derivative of [tex]f(x)= 3x^4+2x^2-8x+4[/tex]. We can do so by using the power rule for derivatives.

The power rule states that:

This means that if you are taking the derivative of a function with powers, you can bring the power down and multiply it with the coefficient, then reduce the power by 1.

Another rule that we need to note is that the derivative of a constant is 0.

Let's apply the power rule to the function f(x).

Bring the exponent down and multiply it with the coefficient. Then, reduce the power by 1.

Simplify the equation.

Now, this is only the first derivative of the function f(x). Let's find the second derivative by applying the power rule once again, but this time to the first derivative, f'(x).

Simplify the equation.

Therefore, this is the 2nd derivative of the function f(x).

We can say that: [tex]f''(x)=36x^2+4[/tex]

Answer:

[tex]y = f(x) = 3 {x}^{4} + 2 {x}^{2} - 8x + 4 \\ \frac{dy}{dx} = 12 {x}^{3} + 4x - 8 \\ \frac{d {}^{2} y}{dx {}^{2} } = 36 {x}^{2} + 4 \\ \boxed{\frac{d {}^{2} y}{dx {}^{2} } = 4(9 {x}^{2} + 1)}[/tex]

Answer:

337.5 and also 202.5

Step-by-step explanation:

do 8x = 540 since 5 and 3 are in a ratio... so you get 5x plus 3x. Then you solve for x and get 67.5..67.5 times 3 is 202.5 and 67.5 times 5 is 337.5.

Answer:

Answer:

540

Step-by-step explanation:

multiply 180 by 3

Answer:

The missing value in the ordered pair is 6.

Step-by-step explanation:

Given that:

The ordered pairs are (-1, 3) and (x,-7)

We have to find the missing value x so that the ordered pairs have a slope -2.

Slope is the steepness of a line which is denoted by m.

Slope =m= -2

Here,

[tex]x_1=-1, y_1=3\\\\x_2=x, y_2=-7[/tex]

Slope is given by;

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Putting the given values,

[tex]-2=\frac{-7-3}{x-(-1)}\\-2=\frac{-10}{x+1}\\-2(x+1)=-10\\-2x-2=-10\\-2x=-10-2\\-2x=-12[/tex]

Dividing both sides by -2

[tex]\frac{-2x}{-2}=\frac{-12}{-2}\\x=6[/tex]

Hence,

The missing value in the ordered pair is 6.

Feed:

i would recommend you to put the correct statement of the question so people can understand it better but from what i get your trying to ask is that : b-8-53

Step-by-step explanation:

well i dont get what your trying to say or ask

Answer:

22.8 pounds

Step-by-step explanation:

The answer is 22.8 because when you divide 100 by 38 you get 2.63157894737 and if you divide 60 by 2.63157894737 you get 22.8

Answer: Steven read more pages per minute than Dana

Step-by-step explanation:

Answer:

769

Step-by-step explanation:

Answer:

109

Step-by-step explanation:

We will be using the formula: Speed = Wavelength * Frequency

1. Given:  Wavelength = 5 m     and     Frequency = 2 Hz

Speed of the wave = Wavelength * Frequency

Speed of the wave = 5 * 2

Speed of the wave = 10 m/s

__________________________________________________________

2. Given: Speed of the wave = 100 m/s   and    Frequency= 1000 Hz

Wavelength = Speed / Frequency

Wavelength = 100 / 1000

Wavelength = 0.1 m

__________________________________________________________

3. Given: Speed of the Wave = 25 m/s           Wavelength = 5 m

Frequency = Speed / Wavelength

Frequency = 25 / 5

Frequency = 5 Hz

Answer:

There are less yellow than red

Step-by-step explanation:

2/3 = .6666666 blue to red

1/1 = 1 blue to yellow

I think is D

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Answer:

Mattew would run 10 kilometers in 1 hour

Step-by-step explanation:

20/2  = 10 Kilometers

2/2 = 1 hour

[tex]x=-\frac{1}{2}[/tex]

You could solve this problem by either: Factoring or by using the Quadratic Formula.

SOLVING BY FACTORING STEPS

STEP 1: Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.

[tex]2x^2+3x-(2x-1)(x+1)=0[/tex]

STEP 2: Simplify 2x^2+3x−(2x−1)(x+1).

[tex]2x+1=0[/tex]

STEP 3: Simplify each term.

[tex]2x^2+3x-2x^2-x+1=0[/tex]

STEP 4: Simplify by adding terms.

[tex]2x+1=0[/tex]

STEP 5: Subtract 1 from both sides of the equation.

[tex]2x=-1[/tex]

STEP 6: Divide each term by 2 and simplify.

[tex]x=-\frac{1}{2}[/tex]

SOLVE BY USING THE QUADRATIC FORMULA STEPS

STEP 1: Move all terms to the left side of the equation and simplify.

[tex]2x+1=0[/tex]

STEP 2: Subtract 1 from both sides of the equation.

[tex]2x=-1[/tex]

STEP 3: Divide each term by 2 and simplify.

[tex]x=-\frac{1}{2}[/tex]

3y×(2y+5)

Multiply each term in the parentheses by 3y

3y×2y+3y×5

Calculate the product

6y²+3y×5

Now we do the same thing only different way

3y×2y

Multiply the numbers

6y×y

If  a term doesn't have an exponent , it is considered that the exponent is 1

6y^1×y^1

Multiply the terms with the same base by adding their exponents

6y^1+1

add the numbers

6y²

6y^2+3y×5×

calculate the product

6y²+15y

It's the same thing only different way ok

3y×5

Multiply the numbers

15y

answer: 6y²+15y

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Answer:

6c(square)+23c+20

Step-by-step explanation:

15c+6c(square)+20+8c=6c(square)+23c+20

Answer:

at 0 hours, 0 miles were traveled

Answer:

Ethan's

Step-by-step explanation:

Ethan's is 1/2 and Olivia's simplified to be 1/3.

Ethan needs only 2 to have a full bottle and Olivia need 3 to have a full bottle.

Answer:

half of the pizza is left

Step-by-step explanation:

1 ) three quarters are left = 75% of the original pizza

2) she eats one third of the pizza = 1/3 of 75

3) one third of the pizza is 25 %

4) 75-25 = 50

5) 50 is half of the pizza

Answer:

B) 3.5cm

Step-by-step explanation:

1/80 = n/280

1 * 280 = n * 80

280 = 80n

3.5 = n or n = 3.5

Answer:

3.125 (D)

Step-by-step explanation:

1 is 1/2

25-1 4

20x3 = 60mins

3.125 would be took away results end with what you have took for this equation

Answer:

m

Step-by-step explanation:

Answer: 726.

Step-by-step explanation:

we have:

a, b and c non-negative numbers.

we know that:

a + b + c = 36.

(i also assume that the numbers are whole numbers)

and "one of the numbers is twice one of the others"

Then we can write:

a = 2*b

replacing that in the above equation, we get:

2*b + b + c = 36

3*b + c = 36.

Then the product between the 3 numbers will be:

P = a*b*c = (2*b)*b*c = 2*b^2*c.

Because we have b squared in the product, we want to find the maximum possible value of b, such that:

3*b + c = 36.

3*b = 36 - c

We know that 36 is a multiple of 3, and also is 3*b.

Then 36 - c must also be a multiple of 3, this means that c must be a multiple of 3 (and the smallest possible), which is 3.

Then if we have:

3*b = 36 - 3 = 33

3*b = 33

b = 33/3 = 11.

The prodct will be:

P = 2*(11^2)*3 = 726.

The maximum value of the product of the three given numbers is;

P_max  = 726

Let the three non-negative numbers be x, y and z

We are told that they sum up to 36.

Thus;

x + y + z = 36.

Now, one of the numbers is twice one of the other numbers.

Thus;

x = 2y

Then, we now have;

2y + y + z = 36

⇒ 3y + z = 36.

We want to find the maximum value of the  product between the 3 numbers. Let's say their product is P, then we have;

P = xyz

P = 2y²z

Since y is squared here, then let's make 3y the subject in 3y + z = 36.

3y + z = 36.

3y = 36 - z

since 3 is multiplied by y, it means that  36 - z be a multiple of 3 and we can infer that z must also be a multiple of 3. If we take z = 3, we have;

Then if we have:

3y = 36 - 3

3y = 33

y = 33/3

y = 11.

Since Product is P = 2y²z, then we have;

P = 2 × 11² × 3

P_max  = 726

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Answer:   T=10-2 x y

Step-by-step explanation: that is the reason