Multiply the polynomial x (3x-1)(2x+5) also what is the degree of the polynomial

Answer:

b

Step-by-step explanation:

Answer:

1.25 hours

Step-by-step explanation:

While driving on the highway, Mason put his car on cruise control at 68 miles per hour. Therefore it takes 1.25 hours to drive 85 miles.

Answer:

A. 29.91

Step-by-step explanation:

tan(x) = opposite leg / adjacent leg

tan(41) = 26 / x

0.869... = 26/x

26 / 0.869... = x

x = 29.91...

Pure pursuit is to calculate the lookahead point, find the target point, determine curvature, and calculate the steering angle using provided equations.

The pure pursuit algorithm helps in steering a robot toward a goal along a specific path. This algorithm determines the robot's heading angle in real-time, enabling it to follow a curved path. Pure pursuit needs the distance from the robot to the path, i.e., the cross-track error.

The steps of pure pursuit to get \( \omega_{R} \) given \( v_{R}, \ell \), and robot pose are given below:

Step 1: Determine the Look-Ahead distanceThe first step in pure pursuit is to determine the distance to look ahead of the robot on the path. This value is known as the Look-Ahead distance and is denoted by 'L.' L must be greater than the robot's radius.

Step 2: Find the nearest WaypointsThe next step is to find the nearest waypoint 'P,' which is the waypoint on the path nearest to the robot's current position. Also, find the waypoint that is L distance away from the robot's current position. Call this point 'P1.'

Step 3: Find the HeadingThe heading direction of the robot can be found using the two nearest waypoints, \( P_{0} \) and \( P_{1} \). The robot's current position \( P_{c} \) is used as the starting point. Using the nearest waypoint, find the heading direction of the robot, \( \theta \). $$\theta = atan2(P_1 - P_0)$$

Step 4: Find the Cross-Track ErrorThe cross-track error is the difference between the robot's current position and the nearest point on the path. It is also called the lateral error or the perpendicular distance. It is given by the following equation: $$e = \sqrt{(P_{c_x}-P_{0_x})^2 + (P_{c_y}-P_{0_y})^2}-R$$where R is the radius of the robot.

Step 5: Determine the Steering AngleThe steering angle, \( \delta \), is the angle between the robot's heading direction and the direction towards the look-ahead point. It is given by the following equation :$$\delta = atan2(2*L*e, L^2)$$where e is the cross-track error and L is the Look-Ahead distance. It is also called the pure pursuit curvature.

Step 6: Determine the Wheel AnglesThe robot's wheel angles, \( \omega_{L} \) and \( \omega_{R} \), can now be found using the following equations: $$\omega_{L} = \frac{v_{R}}{2\ell} - \frac{\delta}{2}$$$$\omega_{R} = \frac{v_{R}}{2\ell} + \frac{\delta}{2}$$where \( \ell \) is the wheelbase of the robot. These are the corresponding equations for pure pursuit.

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Answer:

2.6%

Explanation:

We'll use the below formula to determine the interest rate;

We're given the below parameters in the question;

*Initial purchase price = $5945

*Face value (future value) = $6000

*Days of maturity = 125

Let's now substitute the above values into our formula and solve for the Interest rate as seen below;

Answer:

{0, 1, 2, 3, 4}

Step-by-step explanation:

The first number in each ordered pair, is the domain.

Hope it helps!

Answer:

here is your answer of the question

Answer:

hope it helps you have a great day keep smiling be happy stay safe

Answer:

|A| - C = 5

Step-by-step explanation:

The maximum value that a sine function can have is 1, and the minimum value is -1.

With this information, to find the minimum value of y, we can use sin(Bx) = -1, and to find the maximum value, we can use sin(Bx) = 1. Then, we have that:

19 = A + C

-5 = -A + C

Summing both equations, we have:

14 = 2C

C = 7

Now, to find the value of A, we can use the first equation:

19 = A + C

19 = A + 7

A = 12

So the value of |A| - C is:

|12| - 7 = 12 - 7 = 5

Answer: The index of refraction for the unknown wavelength is approximately 1.355.

Step-by-step explanation:

We can use Snell's law to relate the incident angle and refracted angle to the indices of refraction:

n1 sinθ1 = n2 sinθ2

where n1 and θ1 are the index of refraction and incident angle of the light in air, and n2 and θ2 are the index of refraction and refracted angle of the light in glass. Since the incident angle is 45.00 degrees, we have:

sinθ1 = sin(45.00) = √2/2

Since we know the index of refraction for the 450.0 nm light is 1.482, we can solve for the refracted angle θ2:

1.000 * √2/2 = 1.482 * sinθ2

sinθ2 = 1.000 * √2/2 / 1.482 = 0.4951

θ2 = sin^(-1)(0.4951) = 29.07 degrees

Now, we can use Snell's law again to relate the index of refraction to the refracted angle for the unknown wavelength:

n1 sinθ1 = n3 sinθ3

where n3 is the index of refraction for the unknown wavelength, and θ3 is the refracted angle for the unknown wavelength. We know that θ3 is 0.8000 degrees greater than θ2:

θ3 = θ2 + 0.8000 = 29.87 degrees

Substituting all the known values into Snell's law, we get:

1.000 * √2/2 = n3 * sin(29.87)

n3 = 1.000 * √2/2 / sin(29.87) = 1.355

Therefore, the index of refraction for the unknown wavelength is approximately 1.355.

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Answer:

Step-by-step explanation:

y = -3x^2 + 18

aof: 0/(-3)(2)= 0/-6 = 0

-3(0)^2 + 18 = 0 + 18 =18

(0, 18) is the vertex

Answer:

x =19.20

Step-by-step explanation:

We can use ratios to solve

14 wings      12 wings

------------- = ---------------

22.40          x

Using cross products

14x = 22.40 * 12

14x =268.8

Divide each side by 14

14x/14 = 268.8/14

x =19.20

Answer:

The son age is 10 years

And, his mother age be 40 years

Step-by-step explanation:

Given that

The mother is four times the age of her son

And,  in 5 years, she will be three times as old as him

We need to find out the ages of both

Here we assume that the age of her son be x

So the mother age be 4x

Now in 5 years, her mother would be 3 times as old as his son

So,

4x + 5 = 3(x + 5)

4x + 5 = 3x + 15

x = 10

The son age is 10 years

And, his mother age be 40 years

The respective names of the point of concurrency is:

1. Circumcenter

2. Incenter.

3. Centroid

4. Orthocenter

Point of concurrency:

The point of concurrency is a point where three or more lines or rays intersect with each other.

Circumcenter:

The circumcenter is the point of concurrency of the perpendicular bisectors of all the sides of a triangle.

Incenter:

The incenter is the point of concurrency of the angle bisectors of all the interior angles of the triangle.

Centroid:

The point where three medians of the triangle meet is known as the centroid.

Orthocenter:

The point where three altitudes of the triangle meet is known as the orthocenter.

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The distance of the plane from point P by line of sight is 1385. 76 meters

Using the trigonometric identities, we have that these identities are enumerated as;

From the information given, we have that;

The opposite side = 800 m

The angle of elevation = 30 degrees

The distance of the plane from point P is the adjacent side

Using the tangent identity

tan 30 = 800/m

cross multiply the values

m = 1385. 76 meters

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Answer:

b = 1/3

Step-by-step explanation:

The general structure of equations in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

The given equation is already in slope-intercept form. In other words, you have already been given "m" and "b". Therefore, the value which corresponds with the y-intercept is (1/3).

f(x) = mx + b

f(x) = -(2/9)x + 1/3

Answer:

Ruiiijhiitiyhrrhrgrhrhryyr

Answer:  y= 1/5 x + 8

Step-by-step explanation:

To get a perpendicular line, take the reciprocal of the original "m" in the equation and reverse the sign.

- 5 becomes +1/5

Then substitute the y and x values from the given coordinate into the new equation and solve for b

y= mx+b

6=1/5 (-10) + b

6 = -2 +b

8 = b   rewrite the new equation and substitute  8 for b

y= 1/5 x + 8

The attached screenshot shows the lines and the point.

The median weight of the players on the football team is approximately 160 lbs.

The box plot provides a visual summary of the data which shows the distribution of the weights of the players on the football team. The box plot consists of a box and two "whiskers" which represent the upper and lower quartiles of the data. The box is bounded by the upper quartile and lower quartile and the two whiskers represent the highest and lowest values in the data set, excluding any outliers. The median weight of the players is represented by the line in the middle of the box, which is approximately 160 lbs. The box plot is a useful tool for summarizing the data and provides a quick and easy way to visualize the distribution of the players' weights. The median weight of 160 lbs gives us an idea of the average weight of the players, which can be used to determine the overall strength of the team.

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The complete question is

a high school has 40 players on the football team. the summary of the players' weights is given in the box plot. what is the median weight of the players and find lbs.

Step-by-step explanation:

x³ - 4x = 0

x (x² - 4) = 0

x (x + 2) (x - 2) = 0

Thus the answer is (b) (-2 , 0) , (0 , 0) , (2 , 0)

Answer:

1.25 or 1 1/4

Step-by-step explanation:

Answer:

p=17+6h

Step-by-step explanation:

Considering the volume of the cylinder, it is found that Cai has collected 327.9 grams of trace element.

The volume of a cylinder of radius r and height h is given by:

\(V = \pi r^2 h\).

In this problem, we have that the radius and the height are given, respectively, by:

r = 9.3 cm, h = 17 cm.

Hence the volume of the cylinder in cubic centimeters is given by:

\(V = \pi \times (9.3)^2 \times 17 = 4619\)

A water sample shows 0.071 grams of some trace element for every cubic centimeter of water, hence the amount of trace element is given by:

0.071 x 4619 = 327.9 grams.

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Answer:

328.0 g

Step-by-step explanation:

Answer:

C.

Becz 3 + -9 = 3 - 9

please mark as the brainlest answer

The probability that the sample mean would be less than 43.4 dollars is 0.9292.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true.

From the information, the mean cost of a five pound bag of shrimp is 42 dollars with a variance of 49 and a sample of 54 bags of shrimp is randomly selected.

Therefore, the probability will be:

P(x < 43.4)

Using normal distribution

= P(z < 43.4 - Mean( / 7/✓54)

= P(z < 43.4 - 42( / 7/✓54)

= P(z < 1.4697)

= 0.9292

The probability is 0.9292.

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1. The ratio of shirts Pete pays for to all shirts is 1000.

2. Pete would pay Ana $8.33 for each shirt.

3. Pete would pay Jun $9600 for the shirt.

To determine what Pete would pay Ana for the shirts, we can use the "Buy 5, Get 1 Free" discount. The ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 (5 shirts paid, and 1 shirt received for free).

To fill in the statements:

1. The ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 of 1200 is ____.

To find the missing value, we can set up the following equation:

5/6 * 1200 = x

Solving for x, we have:

x = (5/6) * 1200 = 1000

So, the ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 of 1200 is 1000.

2. ___ × $10 = $

Pete pays $10 for each shirt. Since the ratio is 5:6, the missing value can be calculated as follows:

5/6 * $10 = $8.33 (rounded to two decimal places)

Therefore, Pete would pay Ana $8.33 for each shirt.

3. What would Pete pay Jun for the shirt?

Pete would pay Jun $8 for each shirt. Since Pete needs 1200 shirts, we can calculate the total amount he would pay Jun as follows:

1200 x $8 = $9600

Therefore, Pete would pay Jun $9600 for the shirts.

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Answer:

The answer is -2

Step-by-step explanation:

When you subtract a negative with a negative, you change the problem to an addition by adding the negative number to a positive. -8--6 would look like -8+6.

No, there is not a linear relationship between the radius and the volume of cylinders.

The volume of a cylinder is given by the formula V = π\(r^{2}\)h, where r is the radius and h is the height. If we keep the height constant at 9 inches, we can write V as a function of r:

V(r) = π\(r^{2}\)h = 9π\(r^{2}\)

This is a quadratic function of r, not a linear function. Therefore, there is a quadratic relationship between the radius and the volume of cylinders, not a linear one.

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The solution to the equation 0.2(10 - 5c) = 5c - 16 is c = 3.

To solve the equation 0.2(10 - 5c) = 5c - 16, we will first distribute the 0.2 on the left side of the equation:

0.2 * 10 - 0.2 * 5c = 5c - 16

Simplifying further:

2 - 1c = 5c - 16

Next, we will group the variables on one side and the constants on the other side by adding c to both sides:

2 - 1c + c = 5c + c - 16

Simplifying:

2 = 6c - 16

To isolate the variable term, we will add 16 to both sides:

2 + 16 = 6c - 16 + 16

Simplifying:

18 = 6c

Finally, we will divide both sides by 6 to solve for c:

18/6 = 6c/6

Simplifying:

3 = c

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Mr. Brust needs 427 cans to cover the wall of dimensions 20 feet long and 9 feet tall.

Area of rectangle is the product of its sides

i.e., Area of rectangle = length  x breadth

The area of a circle is pi times the radius squared (A = π r²).

The circumference of a circle is defined as the linear distance around it.

( C= 2πr)

The can of red bull is in shape of cylinder.

If we open the cylinder it will have two circular surfaces( at bottom and top) and one rectangular sheet.

Like the given figure given.

It shows that the two circle will have the diameter 2.5 inches.

d= 2.5 inch

 = 0.208 ft

radius, r= \(\frac{d}{2}\)

r= \(\frac{0.208}{2}\)

r= 0.104 ft

Circumference of the circle be,

= 2πr

= 2 x 3.14 x 0.104

= 0.653 ft

The rectangular sheet will have,

length=  0.653 ft, breadth= 6.5 inches = 0.541 ft

      = length x breadth

      = 0.653 x 0.541

      =\(0.3532 ft^{2}\)

       = 2 x π\(r^{2}\)

       = 2 x 3.14 x 0.104 x 0.104

       = 6.28 x 0.010816

       = 0.0679 \(ft^{2}\)

        = Area of rectangular sheet + Area of 2 circle( top and bottom of can)

        = 0.3532 + 0.0679

        = 0.4211 \(ft^{2}\)

Now, we have the wall of dimensions

length= 9 ft, breadth= 20 ft

= length x breadth

=9 x 20

= 180 \(ft^{2}\)

         =\(\frac{area \;of\; wall}{area \;of\; can}\)

         =\(\frac{180}{0.4211}\)

         = 427.45 cans

         ≈ 428 cans

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