a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane flew and the direction​

Answer:

D

Step-by-step explanation:

el cociente es 12 y el resto es 4, porque 12 por 5 es 60. 60 es el cociente. y 64-60 = 4 por lo tanto 4 es el resto

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Work Shown:

Multiply top and bottom by [tex]\sqrt{2}[/tex] to rationalize the denominator

[tex]\frac{10-\sqrt{18}}{\sqrt{2}}\\\\\frac{\sqrt{2}(10-\sqrt{18})}{\sqrt{2}*\sqrt{2}}\\\\\frac{\sqrt{2}*10-\sqrt{2}*\sqrt{18}}{\sqrt{2*2}}\\\\\frac{\sqrt{2}*10-\sqrt{2*18}}{\sqrt{4}}\\\\\frac{10\sqrt{2}-\sqrt{36}}{2}\\\\\frac{10\sqrt{2}-6}{2}\\\\\frac{-6+10\sqrt{2}}{2}\\\\\frac{2(-3+5\sqrt{2})}{2}\\\\-3+5\sqrt{2}\\\\[/tex]

We end up with something in the form [tex]a+b\sqrt{2}[/tex] where a = -3 and b = 5

By solving a system of equations, we will see that the rational function is:

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

First, we need to see the x-value of the vertical asymptote, here we can see that the vertical asymptote happens at x = -2, then the denominator will be something like:

d = (x - (-2)) = (x + 2).

Then our rational function will be something like:

[tex]f(x) = \frac{a}{(x + 2)} + c[/tex]

In the graph we can see two things, first:

f(0) = 3

f(1) = 1

Replacing that in our function, we get:

[tex]\frac{a}{(0 + 2)} + c = 3\\\\ \frac{a}{(1 + 2)} + c = 1[/tex]

This is a system of equations, that can be rewritten as:

a/2 + c = 3

a/3 + c = 1

Isolathing c in both equations, we get:

a/2 - 3 = -c = a/3 - 1

Then we have:

a/2 - 3 = a/3 - 1

Now we can solve this for a:

a/2 - a/3 = 3 - 1

a/6 = 2

a = 2*6 = 12

And the value of c is given by:

-c = a/3 - 1 = 12/3 - 1 = 4 - 1 = 3

c = -3

Then the rational function is:

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

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Answer:

B. 3(1/3)^x

Step-by-step explanation:

Edg 2022

97 decibel sound is 2.5 times more intense than a 93 decibel sound

Correct option is C.

Sound intensity also known as acoustic intensity, is defined as the power transmitted by a sound wave per unit area in a direction perpendicular to that area. Sound intensity is the sound power in watts divided by the area (in square meters) covered by the sound. Sound loudness relates the intensity of a particular sound to its strength at the threshold of hearing, measured in decibels (dB).

Given expression for loudness

L = 10 log(I/I₀)

Loudness of two different sounds are

L₁ = 97 decibel and L₂ = 93 decibel.

Let the intensity for the loudness L₁ and L₂ are I₁ and I₂

Then,

L₁ = 10log(I₁/I₀) = 97

⇒ log(I₁/I₀) = 9.7

taking antilog

I₁/I₀ = antilog (9.7)

I₁/I₀ = 5011872336.27271

L₂ = 10log(I₂/I₀) = 93

⇒ log(I₂/I₀) = 9.3

taking antilog

I₂/I₀ = antilog (9.3)

I₂/I₀ = 1995262314.96888

Then,

(I₁/I₀)/(I₂/I₀) = 5011872336.27271/1995262314.96888

I₁/I₂ = 2.51188643 ≈ 2.5

Hence, 2.5 times more intense is 97 decibel sound than 93 decibel sound.

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Answer:

bete a la her ha pir que yo no me use la reasouesta

Answer:

See explanation below

Step-by-step explanation:

1. 10 students didn't talk on the phone because they've spent zero hours on the phone.

2. 3 hours is the largest number of hours

Answer:

1. the Equation of vertical line=> x=3

2. the Equation of horizontal line

=> y = 4

Answer:

y=4

Step-by-step explanation:

Answer:

Percentage profit = 20%

Step-by-step explanation:

Given the following data;

Cost price = birr 180

Selling price = birr 225

To find the percentage profit;

First of all, we would determine the profit;

Profit = selling price - cost price

Profit = 225 - 180

Profit = birr 45

Next, we would determine the percentage profit;

[tex] Percentage \; profit = \frac{profit}{selling \; price} * 100[/tex]

[tex] Percentage \; profit = \frac{45}{225} * 100[/tex]

[tex] Percentage \; profit = 0.2 * 100[/tex]

Percentage profit = 20%

Answer:

Your answer is DDDDDDDDD

Step-by-step explanation:

Answer:

you find the area of triangle by the formula

1/2×base×height

Answer:

Area of triangle = ½ × base × height

Step-by-step explanation:

(A = ½ × b × h)

This formula is mainly used to find the area of the triangle.

one root common that's -3

Step-by-step explanation:

use desmos

[tex] \boxed{ \boxed{ \cos {}^{2} ( \theta) = \dfrac{1}{4} }}[/tex]

According to a Trigonometric Identity :

[tex] \hookrightarrow \mathrm{\sin {}^{2} ( \theta) + \cos {}^{2} ( \theta) = 1}[/tex]

Now, let's solve for [tex] \cos²(\theta)[/tex]

[tex] \longrightarrow \dfrac{3}{4} + \cos {}^{2} ( \theta) = 1[/tex]

[tex] \longrightarrow \cos{}^{2}( \theta) = 1 - \dfrac{3}{4} [/tex]

[tex]\longrightarrow \cos {}^{2} ( \theta) = \dfrac{4 - 3}{4} [/tex]

[tex]\longrightarrow \cos {}^{2} ( \theta) = \dfrac{1}{4} [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{hope \: \: it \: \: helps \: \: you.....}}{\orange{}}}}}[/tex]

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Explanation:

Draw a vertical number line. Let's say we start at 0 on the number line. Zero means no net change (he doesn't gain weight, nor does he lose weight either).

Losing 8 pounds means we go down 8 units. Think of it like being at the ground level and then going down 8 floors to the basement level of a large building (eg: parking garage maybe).

After this movement, we're at -8 on the number line. Then move up 9 units to arrive at +1 or just 1 on the number line. So Alex has gained those 8 pounds back to his original weight, plus an extra pound. So that's why -8+9 = 1.

Then move down 2 units to get to -1. Lastly, from -1 move 6 units down to get to -7.

So overall, Alex has lost 7 pounds when everything is said and done.

Refer to the diagram below. We start at point A, move to point B after losing 8 pounds, then to C when gaining 9 pounds, and so on until we get to point E. Point E is at -7 on the vertical number line to represent that he lost 7 pounds.

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

We can think of it in another way:

add up all the losses to get

loss of 8 + loss of 2 + loss of 6 = loss of 16

So he lost 16 pounds if we ignore the "gained 9 pounds", but we have to account for that. So we'll take 9 away from 16 to get 16-9 = 7.

Overall, Alex lost 7 pounds.

Answer:

[tex]\frac{3x+1}{x}, x\neq -1[/tex]

Step-by-step explanation:

We can start by combining the fractions in the numerator. We can multiply them by x/x and x + 1/x + 1 respectively to get a common denominator of x(x + 1).

[tex]\frac{4}{x+1}*\frac{x}{x} +\frac{2}{x} *\frac{x+1}{x+1}\\\\\frac{4x}{x(x+1)}+\frac{2x+2}{x(x+1)}\\\\\frac{6x+2}{x(x+1)}[/tex]

Now we can rewrite an simplify:

[tex]\frac{\frac{6x+2}{x(x+1)} }{\frac{2}{x+1} }\\\\\\\frac{6x+2}{x(x+1)}*\frac{x+1}{2} \\\\\frac{3x+1}{x}[/tex]

The domain would be x ≠ -1 because the starting domain is [tex]x\neq -1; x\neq 0[/tex] and it changed to [tex]x\neq 0[/tex], so for the two fractions to be equal, the domain would be [tex]x\neq -1[/tex].

answer:B

got it right on edg

The function that represents the exponential graph is, [tex]y = 2^{x+2} + 3[/tex].

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

We know a function is called an exponential function when the exponent is the independent variable, For example, aˣ.

From the graph of the function, When x = 0, y = 7.

Observing the options we have,

[tex]y = 2^{x+2} + 3[/tex].

When x = 0.

[tex]y = 2^{0+2} + 3.[/tex]

[tex]y = 2^{2} + 3.[/tex]

y = 7.

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Answer:

5 months

Step-by-step explanation:

150 + 45x = 195 240 285 330 375 420

125 + 50x = 175 225 275 325 375 425

Answer:

5/12 hour or 25 minutes

Step-by-step explanation:

The formula is

distance = rate * time

changing minutes to hours (50 * 1 /60 ) = 5/6 hours

distance = 20 mph * 5/6 hours

distance = 50/3 miles

We need to go the same distance at 40 mph

50/3 = 40 mph * time

Multiply each side by 1/40

50 /3 * 1/40 = 40 * 1/40 *t

50/3 *1/40 =t

5/12  of an hour

Changing back to minutes

5/12 * 60 =25

Answer:50

Step-by-step explanation:

3/5 = 3 ÷ 5 = 0.6

30 ÷ 0.6 = 50

otra explicacion:

30/1 ÷ 3/5= 30/1 x 5/3 = 150/3 = 50

Answer:

23

Step-by-step explanation:

Using an online calculator and plugging the values in, we get our equation of y=mx + b to become y = 1.2x - 17.8 .

Plugging 34 in for x, we get 1.2(34) - 17.8 = 23 for their projected test grade

Answer:

26 m

Step-by-step explanation:

Find what length is needed for fencing by finding the perimeter of the land.

Use the perimeter formula, P = 2l + 2w

Plug in the length and width:

P = 2l + 2w

P = 2(8) + 2(5)

P = 16 + 10

= 26

So, the length of wire needed is 26 m

Step-by-step explanation:

Can u upload image so that i can help u

Answer:

hii

Step-by-step explanation:

follow me please gugs

From the following compound inequalities, all the compound inequalities have a solution.

A compound inequality is a type of inequality that comprises two basic inequalities.

From the given information, we have:

To determine the compound inequality with no solution, we need to solve each of the inequalities.

1.

2x + 3  < 3x - 4 and 3x + 7 > 5x - 9

Collect like terms

= 2x - 3x < - 4 - 3  and 3x - 5x > - 9 - 7

= -x < -7 and -2x > -16

= x < 7 and x > 8    (has a solution)

2.

2(x -6) < 3(x+6) and 6(x+3) > 9(x-1)

Open brackets

= 2x - 12 < 3x + 18 and 6x + 18 > 9x - 9

Collect like terms

= 2x - 3x < 18 + 12 and 6x - 9x > - 9 - 18

= - x < 30 and - 3x > - 27

= x > -30 and x > 9   (has a solution)

3.

8x + 15 ≤ 4x - 5 and -7x + 2 < -6x + 3

Collect like terms

= 8x - 4x  ≤ - 5 - 15 and -7x - 6x < 3 - 2

= 4x ≤ - 20 and -13x < 1

= x  ≤ -5 and x < - 1/13   ( has a solution)

4.

-5x - 1 ≥ -7x + 9 and -4x - 7 < 5x + 11

= -5x + 7x ≥ 9 + 1 and -4x -5x < 11 + 7

= 2x ≥ 10 and -9x < 18

= x  ≥ 5 and x < -2 ( has a solution)

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Answer:

c. 60

Step-by-step explanation:

If we know that d is 90 degrees. We can make a conclusion that we have a 30, 60, 90 triangle. D is 90 and a triangle is 180 degrees. So we can automatically knock off 90 from the 180 giving us another 90. Now we know that we have a 30 and 60 to work with. F is an angle that is larger than E. So E is 30 and F is 60.

Answer:

11 km

Step-by-step explanation:

34.1 = 3.1x

solve for x

x=11 km

Answer:

maybe the palm tree is at 5 the rock at -2 and the sand dollar at 0?

or, somthing like that

Step-by-step explanation:

The sand dollar is at zero which is  2 units away from rock and five units away from palm tree

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

A sand dollar is 2 units away from rock and five units away from palm tree, We have to find the location of  the sand dollar

Let the rock is at -2 on number line

The palm tree is at 5 on  number line

So the sand dollar is at 0, as zero is two units away from rock and tree is five units away

Hence, the sand dollar is at zero which is  2 units away from rock and five units away from palm tree

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Answer: (5,10) (6,12) (15,18) (20,24) (25,30)

Step-by-step explanation:

All you have to do is read the question carefully, and if you don’t understand than, keep doubling each number. Example: 5, 10 then you do whitneys part, which is 6,12 than you keep adding 5 and 6

Answer:

C

Step-by-step explanation:

y intercept of the graph is -2

-9x is a very steep gradient