If x is a negative number, which of the following statements is false?

Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

By solving these two equations, we get the following:

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

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Answer:3024

Step-by-step explanation:

Answer:

What dose this mean

Step-by-step explanation:

Thx for the free points

Answer:

(D)

Step-by-step explanation:

Given that Kendra is making a large salad for a party. She buys lettuce for $2.25 per pound and tomatoes for $2.65 per pound. She spends at least $8.

x represent the number of pounds of lettuce that Kendra buys and y represent the number of pounds of tomatoes that Kendra buys.

We are to select the inequality that represents the situation.

We have

total amount of money that Kendra spends on lettuce is given by

and the total amount of money that she spends on tomatoes is

Therefore, the inequality can be written as

Thus, option (D) is CORRECT.

A 1-gigabyte flash drive has 1000 times more storage space than a 1-megabyte flash disk. The right response is thus "1,000 times greater."

We need to find the ratio between the two capacities.

Given that there are \(10^9\) bytes in a gigabyte and\(10^6\) bytes in a megabyte, we can calculate the ratio as follows:

Ratio = (1 GB) / (1 MB)

= \((10^9 bytes) / (10^6 bytes)\)

= \(10^(9 - 6)\)

=\(10^3\)

= 1000

Therefore, A 1-gigabyte flash drive has 1000 times more storage space than a 1-megabyte flash disk. The right response is thus "1,000 times greater."

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\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.4\% of 16.83}}{\left( \cfrac{8.4}{100} \right)16.83} ~~ \approx ~~ 1.41~\hfill \underset{ Total~for~lunch }{\stackrel{ 16.83~~ + ~~1.41 }{\approx\text{\LARGE 18.24}}}\)

To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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Answer:

Step-by-step explanation:

Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why?

Given the limit of the function

lim x→[infinity] (4x − ln(x))

Step 1: Substitute x = ∞ into the given function first as shown;

lim x→[infinity] (4x − ln(x))

= (4(∞) − ln(∞))

= ∞ - ∞ (indeterminate)

Step 2: Apply  l’Hospital’s Rule

\(\lim_{n \to \infty} (4x - lnx)\\ \lim_{n \to \infty} \frac{d}{dx}(4x-lnx) \\ \lim_{n \to \infty} (4 - \frac{1}{x}\\\)

Step 3: Substitute the value of x into the resulting function;

\(\\lim_{n \to \infty} (4 - \frac{1}{x})\\= 4 - 1/ \infty\\= 4 - 0\\= 4\)

Hence the limit of the function is 4. And yes, the L'hospital rule was applicable.

From the statement of the problem we know that:

• Malia's, net pay, after the automatic savins withdrawal is ,X_1 = $2,665.00,,

• Malia's ,automatic savings withdrawal, is ,X_2 = $142.00,.

We must compute what percent of Malia's net pay is automatically withdrawn for savings.

The percentage that we must compute is given by the following formula:

Replacing the values of X_1 and X_2, we get:

Answer

Rounded to the nearest tenth, the percent of Malia's net pay that is automatically withdrawn for savings, is 5.1%.

Answer:

a. 30 b. indeterminate, unless you're given the measure of either of the other sides.

Step-by-step explanation:

a. lazy solution: it's a 3-4-5 right triangle scaled up (18 is 3*6, 24 is 4*6, last side will be 5*6= 30. Less than lazy solution: it's a right triangle, pythagorean theorem applies:

\(x^2= 18^2+24^2 = 324+576 = 900\\x= 30\)

b.problem is indeterminate as long as you don't know the measure of any of the other sides. the 30-60 triangle is half of an equilateral triangle and x is \(\sqrt3\) times the short side, or \(\frac{\sqrt3} 2\) times the long side. It's easily shown by mirroring the triangle along the vertical side, and if the short leg measures k, the hypotenuse measures 2k, and the vertical side measures \(x^2+k^2=(2k)^2\\x^2+k^2 = 4k^2\\x^2 = 3k^2 \implies x=\sqrt3\ k\)

The length of the arc KL in the given circle is 3.49 units

In a circle whose radius is R, the length of an arc defined by an angle x is given by:

Length = (x/360)*2*3.14*R

Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:

Length = (100/360)*2*3.14*2

Lenght = 3.49 units.

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Answer:

b

Step-by-step explanation:

the answer is no.b as P(A)*P(B)

20-8=12

6x7=42

i shall say this is correct

Answer:

43.2

Step-by-step explanation:

Answer:

  a = 4

Step-by-step explanation:

You are given an arithmetic sequence with second term 5.5 and fifth term 10. You want to know the first term.

The 2nd term will have 3 times the common difference added to it to make the 5th term. Then that difference can be found from ...

  5.5 +3d = 10 . . . . using 'd' for the common difference

  3d = 4.5

  d = 1.5

The second term (a2) is obtained by adding the common difference (d) to the first term (a1):

  a2 = a1 +d

  5.5 = a1 + 1.5

  4.0 = a1

The value of 'a' is 4.

__

Additional comment

The 'd' we're using here to represent the common difference is not to be confused with the 'd' in the problem statement that represents the fourth term of the list.

The fact that adjacent list members have the same difference is what tells you this is an arithmetic sequence. In terms of the problem statement, you have ...

  {a, b, c, d, e} = {4, 5.5, 7, 8.5, 10}

Here, we have used the more common notation for elements of an arithmetic sequence.

Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

Answer:

Step-by-step explanation:

5 1/4

Answer:là

5

với số dư

1

.

5

1

4

Step-by-step explanation:

Answer: The answer is 7

Step-by-step explanation: 20% of 35 is 7. So the answer is 7

Answer:

im not sure which but i know it is c or d

Step-by-step explanation:

Answer:

it will be 7 and 1/2

Step-by-step explanation:

2 and 1/2 x 3=7 and 1/2

The mean value theorem is used to link the average rate of change and the derivative of a function.

The value of V is 8.

The givenparameters are:

Mean value theorem states that:

If  [a,b] and

(a,b),

Then there is a point c in (a,b), such that:  

From the question, we understand that: f is differentiable

This means that:

avethat:

The equation becomes

Cross mltiply

o both side

From the question, we have:

By comparisons;

Hence, the value of V is 8.

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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The value of variable x is,

⇒ x = 42

We have to given that;

In a right triangle,

⇒ sin (x + 10)° = cos (4x - 4)°

Now, We can simplify as;

⇒ sin (x + 10)° = cos (4x - 4)°

⇒ cos (90 - (x + 10))° = cos (x - 4)°

⇒ 90 - (x + 10) = x - 4

⇒ 90 - x - 10 = x - 4

⇒ 80 + 4 = 2x

⇒ 2x = 84

⇒ x = 42

Thus, The value of variable x is,

⇒ x = 42

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An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M

Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:

A = L x W

where A is the area of the logo, L is the length of the logo, and W is the width of the logo.

Substituting the given values, we get:

A = (7(1)/(5)) x M

or

A = (36/5) x M

Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:

A = X

Combining both equations, we get:

X = (36/5) x M

This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.

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Answer:

\( \frac{60}{5} + 13 = 25 \\ 12 + 13 = 25\)

Step-by-step explanation:

\(25 = \frac{x}{5} + 13 \\ 25 - 13 = \frac{x}{5} \\ 12 = \frac{x}{5 } \\ 12 \times 5 = x \\ 60 = x\)

Answer:

x=60

Step-by-step explanation:

Move all terms not containing  x  to the right side of the equation.

Subtract  13 from both sides of the equation.

x/5=25-13

Subtract  13  from  25 .

x/5=12

Multiply both sides of the equation by  5 .

5*x/5=5*12

Simplify both sides of the equation.

Cancel the common factor of  5 .

x=5*12

Multiply  5  by  12 .

x=60

Hope this helped!!

Have a great day!!

Finding the hourly rate, we can see that in 3 hours 5,625 packings are packed.

We know that the machine produces a total of 15,000 packets in a time of 8 hours, then the ourly rate is:

R = 15,000/8 = 1,875 packs per hour.

We want to find the number that can be produced in 3 hours, to find that, we need to use the rate we found above and multiply it by 3 hours, then we will get:

R = 3h*1,875 packs per hour.

R =  5,625.

In 3 hours a total of  5,625 packings will be produced.

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Answer:

9/41

Step-by-step explanation:

Draw a right triangle in quadrant 2 and label your opposite (40) and hypotenuse (41) sides then use the pythagorean theorem to find the missing side (the adjacent side)  which is equal to 9. Then since cosine is adjacent/hypotenuse and you get 9/41.

The total purchase price is $28496 if a total of 52 microphones are to be purchased. Each microphone costs $548.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A total of 52 microphones are to be purchased. Each microphone costs $548.

Let x be the total purchase price

x = 52x548

x = $28496

Thus, the total purchase price is $28496 if a total of 52 microphones are to be purchased. Each microphone costs $548.

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Answer:

interest rate = 0.0400215403 or 4.00215403% or 4%

Step-by-step explanation:

formula

final amount =

initial amount times e^(interest rate times time)

6614 = 4998 times e^(interest rate times 7)

(6614 ÷ 4998) = e^(interest rate times 7)

1.32332933173 = e^(interest rate times 7)

ln means natual log

ln(1.32332933173) = ln(e^(interest rate times 7))

0.28015078214 = interest rate times 7

0.28015078214 ÷ 7 = interest rate

0.0400215403 = interest rate

utub dr ashley godbold

investopedia

No, multiplying the function f(x) by 4 and adding 3 to f(x) do not transform the graph the same way.

Although both transformations result in a y-intercept of 1, they have different effects on the shape and direction of the graph.

Multiplying f(x) by 4 stretches the graph vertically, making it four times as tall. This also makes the function grow much more quickly for positive values of x and decay much more quickly for negative values of x.

Adding 3 to f(x) shifts the graph vertically upward by 3 units. This transformation does not change the shape of the graph, but simply moves it up or down on the y-axis.

Therefore, the two transformations have different effects on the graph and cannot be considered the same.

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Answer: 40%

Step-by-step explanation: you would need to find the total amount of guests which would be 425 since you’d add 170 and 255, then take the amount of guests that called for room service which is 170 and divide that by the total amount of guests 425 and you would get .4 then to get the percent you would multiply .4 by 100 which would equal 40%