What are the 3 steps in graphing linear inequalities in two variables?

The magnitude of the resultant force is approximately 57.60 pounds, and the direction is approximately -85.24 degrees (measured counterclockwise from the positive x-axis).

To find the magnitude and direction of the resultant force when the three force vectors are added together, we can use vector addition.

Convert the angles to radians.

Angle of wolf 1 = 45 degrees = π/4 radians

Angle of wolf 2 = 90 degrees = π/2 radians

Angle of wolf 3 = 230 degrees = (230/180)π radians

Resolve the forces into horizontal and vertical components.

Horizontal component of wolf 1 = 150 * cos(π/4) ≈ 106.07 pounds

Vertical component of wolf 1 = 150 * sin(π/4) ≈ 106.07 pounds

Horizontal component of wolf 2 = 200 * cos(π/2) = 0 pounds

Vertical component of wolf 2 = 200 * sin(π/2) = 200 pounds

Horizontal component of wolf 3 = 300 * cos((230/180)π) ≈ -112.36 pounds

Vertical component of wolf 3 = 300 * sin((230/180)π) ≈ -248.69 pounds

Sum the horizontal and vertical components of the forces.

Horizontal component of resultant force = 106.07 + 0 - 112.36 ≈ -6.29 pounds

Vertical component of resultant force = 106.07 + 200 - 248.69 ≈ 57.38 pounds

Find the magnitude of the resultant force using the Pythagorean theorem.

Magnitude of resultant force = √((-6.29)^2 + (57.38)^2) ≈ 57.60 pounds

Find the direction of the resultant force using the inverse tangent function.

Direction of resultant force = atan(57.38 / -6.29) ≈ -85.24 degrees

Therefore, the magnitude of the resultant force is approximately 57.60 pounds, and the direction is approximately -85.24 degrees (measured counterclockwise from the positive x-axis).

for such more question on magnitude

https://brainly.com/question/17157624

#SPJ8

The wind speed for the flight is 2 miles per hour.

Let's assume the wind speed is represented by "w" miles per hour.

When the drone flies with the wind, its effective speed is the sum of its own speed and the wind speed, so it travels at 5 + w miles per hour. Therefore, the time it takes to fly 35 miles with the wind is given by:

time = distance / speed

time = 35 / (5 + w)

Similarly, when the drone flies against the wind, its effective speed is the difference between its own speed and the wind speed, so it travels at 5 - w miles per hour. The time it takes to fly 15 miles against the wind is given by:

time = distance / speed

time = 15 / (5 - w)

Since the flight time is the same for both scenarios, we can set the two expressions for time equal to each other:

35 / (5 + w) = 15 / (5 - w)

Now, we can solve this equation to find the value of "w," the wind speed.

Cross-multiplying:

35(5 - w) = 15(5 + w)

175 - 35w = 75 + 15w

Combining like terms:

50w = 100

Dividing both sides by 50:

w = 2

Learn more about speed at:

https://brainly.com/question/4931057

#SPJ4

Answer:

Asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf

Step-by-step explanation:

Asdfasdfasdfasdfasdfasdfasdfasdfasdfasdfasdf

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following equation:

We sovle for x:

Answer: 0 & -7

Step-by-step explanation:

Answer:

12. 0

13. -7

Hope this helps :)

If you need an explanation just comment!

Answer:

y = (1/4)x + 3

Step-by-step explanation:

I have put my answer in slope-intercept form as that is usually the most common. Inputing the slope as "m" into the equation "y=mx+b" and substituting the x and y coordinates given to find b gives the equation "2=(1/4)(-4)+b" By solving this we get "b=3" to finish the equation.

Answer:

y=1/4x+3

Step-by-step explanation:

y-2=1/4(x-(-4))

y-2=1/4(x+4)

y-2=1/4x+1

y=1/4x+1+2

y=1/4x+3

Answer:

I believe it’s 3/8 since it’s the highest and that’s the weight most kittens are in the graph.

Step-by-step explanation:

If you want you could wait for somebody else to respond since I could be wrong, but I still hope I was able to help :)

Answer:

The answer would be 3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

Read more about two-tailed test here:

https://brainly.com/question/4621112

#SPJ1

Answer:

y=-x+4

Step-by-step explanation:

2y-x=8

2y=-x+8

y=-x+4

Answer: False!

This equation is in slope - intercept form, which is used to calculate and graph a line, and/or find the y - intercept and slope of a line. The standard form would be the equation before it was converted into slope - intercept form.

Hope this helps!

Answer:

False

Step-by-step explanation:

The y=mx+b form is called the slope-intercept form.

● m is the slope

● b is the y-intercept

● x is the variable (the input)

● y is the output

Answer:

6 hours

Step-by-step explanation:

The equation N = 23 - F represents the relationship between the number of shirts Chang would have left to fold (N) and the number of shirts he has already folded (F).

In this equation, 23 represents the initial number of shirts Chang had to fold. As he starts folding the shirts, the value of F increases. Subtracting F from 23 gives the number of shirts that are yet to be folded, represented by N.

For example, if Chang folds 18 shirts, we can substitute F = 18 into the equation:

N = 23 - 18

N = 5

This means that after folding 18 shirts, Chang would have 5 shirts left to fold.

The equation N = 23 - F can be used to calculate the number of shirts left at any point during the folding process. It helps track the progress and determine the remaining workload.

learn more about equation here:

https://brainly.com/question/649785

#SPJ11

the product of the minimum and maximum possible degrees of $f(x)g(x)$ is $2 \times 14 = \boxed{28}$.

The product of the minimum and maximum possible degrees of $f(x)g(x)$ is equal to the degree of the product polynomial.

If $f(x)$ is a polynomial of degree 7, then it can be written as:

$f(x) = a_7x^7 + a_6x^6 + \cdots + a_1x + a_0$

Similarly, if $g(x)$ is a polynomial of degree 7, it can be written as:

$g(x) = b_7x^7 + b_6x^6 + \cdots + b_1x + b_0$

The product of $f(x)$ and $g(x)$ is given by:

$f(x)g(x) = (a_7x^7 + a_6x^6 + \cdots + a_1x + a_0)(b_7x^7 + b_6x^6 + \cdots + b_1x + b_0)$

When we expand this product using the distributive property, we get a polynomial of degree 14, which is the sum of all possible products of the terms of $f(x)$ and $g(x)$.

The degree of a term in the product polynomial is the sum of the degrees of the terms being multiplied. Therefore, the degree of the product polynomial will be at most $7+7=14$.

In order to obtain the minimum possible degree of the product polynomial, we need to construct a scenario where the highest degree terms in $f(x)$ and $g(x)$ multiply to give the highest degree term in the product polynomial, and similarly for the lowest degree terms.

Thus, we want to choose $f(x)$ and $g(x)$ such that $a_7b_7 \neq 0$ and $a_0b_0 \neq 0$. In this case, the highest degree term in the product polynomial will be $a_7b_7x^{14}$, and the lowest degree term will be $a_0b_0$.

Therefore, the minimum possible degree of the product polynomial is 2.

On the other hand, the degree of the product polynomial will be exactly 14 if $a_7b_7 \neq 0$ and $a_0b_0 \neq 0$. This can be seen from the fact that the sum of the degrees of all terms in the product polynomial is 14.

Therefore, the maximum possible degree of the product polynomial is 14.

Hence, the product of the minimum and maximum possible degrees of $f(x)g(x)$ is $2 \times 14 = \boxed{28}$.

learn about polynomial,

https://brainly.com/question/15702527

#SPJ11

Answer:

40

Step-by-step explanation:

because 180- 140 = 40

a linear pair means they equal 180

The measure of angle ACD (∠ACD) is 40 degrees.

Given that angles ACD and DCB forms a linear pair, also m ∠DCB = 140°,

We are asked to find the measure of ∠ACD,

So,

If angles ACD and DCB form a linear pair, it means that their sum is equal to 180 degrees.

Let's denote the measure of angle ACD as x.

So, we have the equation:

m∠ACD + m∠DCB = 180°

Substituting the given value for m∠DCB:

x + 140° = 180°

To solve for x, we can subtract 140° from both sides of the equation:

x = 180° - 140°

x = 40°

Therefore, the measure of angle ACD (∠ACD) is 40 degrees.

Learn more about linear pair click;

https://brainly.com/question/1757859

#SPJ2

The domain of the function is defined as 0 ≤  x ≤ 4.

option A is the correct answer.

A domain of a function refers to "all the values" that can go into a function without resulting in undefined values.

So the domain of a function is the set of x values, while the range of a function is the set of y values.

From the given statement, the range of the function is defined as;

y = vt

where;

y = 60 mph x 4 hr

y = 240 miles

From the given statement, the domain of the function is defined as;

0 ≤  x ≤ 4

Learn more about domain of function here: https://brainly.com/question/28934802

#SPJ1

The complete question is:

A certain element has a half life of 4.5 billion years.

You find a rock containing a mixture of the element and lead. You determine that 30% of the original element remains; the other 70% decayed into lead. How old is the rock?

Answer:

Age of rock = 7.82 billion years

Step-by-step explanation:

For a first order decay, fraction remaining is given by the formula 0.5n where n = number of half lives elapsed.

We are given that;

fraction remaining = 30% = 0.3

Thus;

0.3 = 0.5n

To find n, we have to use the log function;

log 0.3 = n log 0.5

-0.5229 = -0.301 n

n = -0.5229/-0.301

n = 1.737

We are given that;

Half life = 4.5 billion years

So, 1.737 half lives would give;

1.737 × 4.5 = 7.82 billion years

So, age of rock = 7.82 billion years

Answer:

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step-by-step explanation:

The correct question is:

Talia wants to write the equation of the graphed line in point-slope form. These are the steps she plans to use:

Step 1: Choose a point on the line, such as (2, 5).

Step 2: Choose another point on the line, such as (1, 3).

Step 3: Count units to determine the slope ratio. The line runs 1 unit to the right and rises 2 units up, so the slope is .

Step 4: Substitute those values into the point-slope form.

y – y1 = m(x – x1)

y – 3 = (x – 1)

Which of Talia’s steps is incorrect?

Step 1 is incorrect because it uses a point that is not on the line.

Step 2 is incorrect because it uses a point that is not on the line.

Step 3 is incorrect because it shows an incorrect ratio for the slope.

Step 4 is incorrect because it shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

Step 1 is correct because from the graph, points (1,3) and (2,5) lies on the line so the points can be used to find the slope.

Step 2 is also correct.

Step 3 is incorrect. Slope of a graph is the ratio of vertical change to horizontal change. The vertical change is the rise while the horizontal change is the run, hence slope is the ratio of rise to run.

Since the line runs 1 unit to the right and rises 2 units up, so the slope is 2/1 = 2

Therefore the correct point-slope form is:

y – y1 = m(x – x1)

y – 3 = 2(x – 1)

Step 4 is correct, because i t shows an incorrect substitution of (1, 3) into the point-slope form.

Answer:

c

Step-by-step explanation:

took the quiz!!

Answer:

x=3

y=−4

Step-by-step explanation:

An advantage of the SMBO approach it allows for the adoption of multiple and changing sales objectives.

SMBO is for Sales Management by Objective and is a selling technique or approach that focuses on achieving a specific set of goals. The entire quantity of products sold is known as the sales volume. It can also be expressed in monitory terms.

An advantage of the SMBO approach it allows for the adoption of multiple and changing sales objectives.

To know more about the SMBO approach follow

https://brainly.com/question/22295833

#SPJ1

The complete question is:

Create a matrix for this linear system:

what is the solution of the system?

\($\left[\begin{array}{rrr}1 & -1 & -2 \\ 2 & 3 & -1\end{array}\right] c=\left[\begin{array}{r}1 \\ -2\end{array}\right]$\)

The solution straight from the matrix as

\($&x=\frac{1}{5}+\frac{7}{5} r \\\)

\($&y=-\frac{4}{5}-\frac{3}{5} r \\\)

and z = r

A solution to a system of equations exists a set of values for the variable that satisfy all the equations simultaneously.

Given:

\($\left[\begin{array}{rrr}1 & -1 & -2 \\ 2 & 3 & -1\end{array}\right] c=\left[\begin{array}{r}1 \\ -2\end{array}\right]$\)

By applying two more row operations, we get

\($&{\left[\begin{array}{rrr|r}1 & -1 & -2 & 1 \\2 & 3 & -1 & -2\end{array}\right] R_{2}+(-2) R_{1} \rightarrow R_{2}} \\\)

\(&\equiv\left[\begin{array}{rrr|r}1 & -1 & -2 & 1 \\0 & 5 & 3 & -4\end{array}\right] \frac{1}{5} R_{2} \rightarrow R_{2} \\\)

simplifying the above matrix, we get

\(&\equiv\left[\begin{array}{rrr|r}1 & -1 & -2 & 1 \\0 & 1 & \frac{3}{5} & -\frac{4}{5}\end{array}\right] R_{1}+R_{2} \rightarrow R_{1} \\\)

\($&\equiv\left[\begin{array}{rrr|r}1 & 0 & -\frac{7}{5} & \frac{1}{5} \\0 & 1 & \frac{3}{5} & -\frac{4}{5}\end{array}\right]$$\)

The solution straight from the matrix as

\($&x=\frac{1}{5}+\frac{7}{5} r \\\)

\($&y=-\frac{4}{5}-\frac{3}{5} r \\\) and

z = r

To learn more about matrix refer to:

brainly.com/question/24511230

#SPJ4

Use the Law of Sines to solve the triangle. The correct option among the given options is B C = 85°, a = 5.76, b = 8.69, where c ≈ 10.38.

To solve the triangle using the Law of Sines, we can use the formula:

a/sin(A) = b/sin(B) = c/sin(C)

Let's analyze each option one by one:

A) C = 85°, a = 7.76, b = 10.69

To solve this triangle, we can use the Law of Sines as follows:

a/sin(A) = b/sin(B) = c/sin(C)

7.76/sin(35°) = 10.69/sin(60°) = c/sin(85°)

Using this equation, we can solve for c:

c = (7.76 * sin(85°)) / sin(35°) c ≈ 13.99

Therefore, the answer is not C = 85°, a = 7.76, b = 10.69.

Now let's check the other options:

B) C = 85°, a = 8.76, b = 10.69

Using the same formula, we can calculate c:

c = (8.76 * sin(85°)) / sin(35°) c ≈ 15.77

Therefore, the answer is not C = 85°, a = 8.76, b = 10.69.

C) C = 85°, a = 8.69, b = 9.69

Using the same formula, we can calculate c:

c = (8.69 * sin(85°)) / sin(35°) c ≈ 15.56

Therefore, the answer is not C = 85°, a = 8.69, b = 9.69.

The correct option among the given options is B C = 85°, a = 5.76, b = 8.69, where c ≈ 10.38.

Learn more about Law of Sines

https://brainly.com/question/30401249

#SPJ11

Answer:

The answer is -8.7

Step-by-step explanation:

-5(-2.1) + 4(-4.8)

10.5 + 4(-4.8)

10.5 + (-19.2) =  -8.7

Answer:

$26280

Step-by-step explanation:

Tell me thats not real..

Hope this helps

Answer:600

Step-by-step explanation:

i think