\root(3)(-3)\root(3)(-5)=\root(3)(15) true or false

The snail's speed is 20 mm/s.

To calculate the snail's speed, we need to use the formula speed = distance/time. In this case, the distance traveled by Sammy the snail is 20 mm and the time taken is 1 second.

Speed is the distance an object travels in a certain amount of time. In this case, Sammy the snail traveled 20 milimeters in 1 second, so his speed is 20 milimeters per second.

So, the speed of Sammy the snail would be:

Speed = Distance/Time
Speed = 20 mm/1 s
Speed = 20 mm/s

Therefore, the snail's speed is 20 mm/s.

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Sammy the snail's speed can be calculated using the given information. He travels 20 millimeters in 1 second at a constant speed. Therefore, his speed is 20 millimeters per second (mm/s).

Sammy the snail travels 20 mm in 1 second, so we can use the formula for speed which is distance over time. Therefore, the speed of the snail is calculated as:
Speed = distance / time
Speed = 20 mm / 1 second
Speed = 20 mm/s
This means that Sammy travels at a speed of 20 millimeters per second. It's important to note that this speed is relatively slow, as snails are known for their slow movements. However, Sammy's consistent speed of 20 mm/s means that he is able to cover a significant distance over time.

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Equations

Let's call:

x = time Stanley swam yesterday.

We know he ran for half an hour longer than he swam, thus the time he ran was:

x + 0.5 = time Stanley ran yesterday

We also know he biked for twice the time he ran, thus:

2(x + 0.5) = time Stanley biked yesterday.

The distance covered by Stanley when swimming is

2.5*x

The distance covered by Stanley when running is:

9*(x+0.5)

The distance covered by Stanley while biking is:

16*2*(x + 0.5) = 32(x + 0.5)

The total distance is 64 miles, thus:

2.5*x + 9*(x+0.5) + 32(x + 0.5) = 64

Operating:

2.5x + 9x + 4.5 + 32x + 16 = 64

Simplifying:

43.5x + 20.5 = 64

Subtracting 20.5:

43.5x = 43.5

Thus:

x = 1

Stanley swam for 1 hour, he ran for 1+0.5 = 1.5 hours and biked for 2*1.5=3 hours

Swam: 1 hour, Ran: 1.5 hours, Biked: 3 hours

The number of students in the anime club is

To find the number of students we examine the line plot and assume that each x is one units

number of students

= 10 * 1 + 11 * 3 + 12 * 1 + 13 * 5 + 14 * 3 + 15 * 1

= 10 + 33 + 12 + 65 + 42 + 15

= 177

hence there are 177 students in the club

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Answer:

(5x 2 +6x+4)(x−1)

Step-by-step explanation:

Answer:

I'm pretty sure the answer is still 6x-5.

Step-by-step explanation:

Answer:

c=-24

Step-by-step explanation:

to find C we have to plug in the coordinate given to us

12(4)+4(-6)+C= 0

48-24+c=0

24+c=0

c=-24

Answer:

yes it is i think don't sew meh if im wrong

Step-by-step explanation:

1) First, from the picture we see that we have two equal angles: ∠A = ∠D = 47°.

2) Secondly, We also know that the line CF bisects AD.

3) Finally, the two opposite angles of B are equal, we call these angles ∠B.

From (1)-(2)-(3) we conclude that the answer is: angle-side-angle (ASA).

For example, we have the side/line AB between angles ∠A and ∠B.

woah this looks hard

Answer:

Step-by-step explanation:

\(\begin{cases}a_1=-3\\a_n=a_{n-1}\cdot\dfrac18\end{cases}\\\\\\a_2=a_{2-1}\cdot\frac18=a_1\cdot\frac18\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_1\cdot\frac18}{a_1}=\dfrac18\\\\\\a_n=a_1\cdot r^{n-1}\\\\a_n=-3\cdot\left(\frac18\right)^{n-1}\)

To find the volume of the given solid using polar coordinates, we integrate the function over the appropriate range of values for the radial coordinate and the angle.

The given solid consists of a cone and a ring in the xy-plane. The cone is defined by the equation z = √(x² + y²), which represents a right circular cone with its vertex at the origin and opening upwards. The ring is defined by the inequality 1 ≤ x² + y² ≤ 64, which represents a circular region centered at the origin with an inner radius of 1 unit and an outer radius of 8 units.

To evaluate the volume using polar coordinates, we can express the equations in terms of the radial coordinate (r) and the angle (θ). In polar coordinates, the cone equation becomes z = r, and the ring equation becomes 1 ≤ r² ≤ 64. To set up the integral, we need to determine the range of values for r and θ. For the radial coordinate, r ranges from 1 to 8, as that corresponds to the region defined by the ring. For the angle θ, we can integrate from 0 to 2π, covering a full revolution around the origin.

The volume integral is then given by V = ∫∫∫ r dz dr dθ over the region defined by 1 ≤ r² ≤ 64 and 0 ≤ θ ≤ 2π. By evaluating this triple integral, we can find the volume of the solid.

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Answer:

-6y+27

Step-by-step explanation:

-3*2y=-6y

-3*-9=27

because multiplying 2 negatives make a positive.

so,

-3(2y-9) = -6y+27

Answer: See below

Step-by-step explanation:

Let h represent hamburgers and c represent cheeseburgers

h + c ≤ 100 - The amount of burgers sold

3h + 3.5c ≥ 80 - Amount that each burger sells for

Answer: A -3

Step-by-step explanation: hope this helps

Answer:

W = (-3) A

Step-by-step explanation:

hope this helps

Answer:

Two x's can have the same y, but an x cannot have different y's. For example, [(2,3)(-2,4)(3,3)(5,18)] is a function because all of the x's have a specific y, and there is not more than one y to an x. However, [(2,3)(-3,7)(2,-4)] is not a function because one of the x's has more than one y.

Step-by-step explanation:

(hope this helps-you can just put the first sentence...the rest is kinda wordy :P)

Answer: $53.95

Step-by-step explanation:

Original Price: $83

Discount: 35%

35%=0.35

$83 x 35%, or 83 x 0.35

=29.05

$83-29.05

=$53.95

The solution to given inequality 12 > w + 3 is w < 9

In this question, we have been given an inequality 12 > w + 3

We need to solve the inequality for w.

Consider given inequality,

12 > w + 3                              ............(Given)

12 - 3 > w + 3 - 3                    ...........(Subtract 3 from each side)

9 > w

This means, w is less than 9.

Therefore, the solution to given inequality 12 > w + 3 is w < 9

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ANSWER:

(a) 0.23

(b) 8.33

STEP-BY-STEP EXPLANATION:

(a)

In this case we must divide the amount of hours (3) by the price ($13), in order to find the value of hours per dollar, like this:

(b)

In this case we must divide the time (25 minutes) by the distance traveled (3 miles), in order to find the value of minutes per miles:

Answer:

22

Step-by-step explanation:

Answer:

Marko bikes approximately 16.13 miles.
A very slow rate.

Step-by-step explanation:

average speed = 534 minutes per mile

time taken = 8614

d = t/s

distance = 8614 / 534

= 16.13 miles

Answer:f=99

Step-by-step explanation

solve for f by simplifying both sides of the equation, then isolating the variable.

Answer:

F is 99

Step-by-step explanation:

99 ÷ 77 = 1 2/7

1 2/7 - 4/7 = 5/7

Answer

Anita's total number of dolls = 30

Explanation

Let the total number of dolls be x

20% of x = 6

0.2x = 6

Divide both sides by 0.2

(0.2x/0.2) = (6/0.2)

x = 30 dolls

Hope this Helps!!!

Answer:

y-1=2(x-4)

Step-by-step explanation:

y-y1=m(x-x1)

y-1=2(x-4)

Answer:

\(y=2x-7\)

Step-by-step explanation:

\(y=2x-7\)

Hope I helped!

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In general, there are five kinds of task analyses:

Task analysis is the process of learning about ordinary users by observing them in action to understand in detail how they perform their tasks and achieve their intended goals. Tasks analysis helps identify the tasks that your website and applications must support and can also help you refine or re-define your site’s navigation or search by determining the appropriate content scope.

In their book User and Task Analysis for Interface Design, JoAnn Hackos and Janice Redish note that performing a task analysis helps you understand:

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Final Answer:  a. The number of units that should be sold in order to maximize the profit is 7 thousand units.

b. The  maximum profit is approximately $5.51

Conceptual part:   a. In order to find maximum profit we need to differentiate the profit function

\(dp/dx = (-3x^2+18x+21)/-x^3+9x^2+21x+1\) = 0

\(-3x^2+18x+21=0\)

\((x-7) (x+1) = 0\)

as profit can't be negative.

hence x=7.

b. We can determine the maximum profit by substituting x=7 in profit function.

\(p(7) = ln(-7^3+9*7+21*7+1)\)

\(p(7) = ln(246)\)

p(7) = 5.51

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Answer:

A=-1, B=2

Step-by-step explanation:

2a + 3b=4 equation 1

a-b=-3 equation 2

a=-3+b isolate a in equation 2

2(-3+b) + 3b=4. Substitute value of a in equation 2 (-3+b) into a value of  equ 1

-6+2b+3b=4

5b=10

b=2

solve for a:

a-b=-3

a-(2)=-3

a-2=-3

a=-1

The optimal solution is x1 = 4, x2 = 0, x3 = 1, w = 0, and the minimum value of the objective function is 0.

To solve this linear programming problem using the Simplex method, we first need to convert it into standard form by introducing slack variables.

Our problem can be rewritten as follows:

Minimize w = 9x1 + 6x2

Subject to:

x1 + 2x2 + x3 = 5

2x1 + 2x2 + x4 = 8

x1 + 2x2 + 2x3 = 6

where x1, x2, x3, and x4 are all non-negative variables.

Next, we set up the initial simplex tableau:

Basic Variables x1 x2 x3 x4 RHS

x3 1 2 1 0 5

x4 2 2 0 1 8

x5 1 2 2 0 6

z -9 -6 0 0 0

The last row represents the coefficients of the objective function. The negative values in the z-row indicate that we are minimizing the objective function.

To find the pivot column, we look for the most negative coefficient in the z-row. In this case, the most negative coefficient is -9, which corresponds to x1. Therefore, x1 is our entering variable.

To find the pivot row, we calculate the ratios of the RHS values to the coefficients of the entering variable in each row. The smallest positive ratio corresponds to the pivot row. In this case, the ratios are:

Row 1: 5/1 = 5

Row 2: 8/2 = 4

Row 3: 6/1 = 6

The smallest positive ratio is 4, which corresponds to row 2. Therefore, x4 is our exiting variable.

To perform the pivot operation, we divide row 2 by 2 to make the coefficient of x1 equal to 1:

Basic Variables x1 x2 x3 x4 RHS

x3 0 1 1 -1 1

x1 1 1 0 1/2 4

x5 0 1 2 -1 2

z 0 -3 9 9/2 -18

We repeat the process until all coefficients in the z-row are non-negative. In this case, we can stop here because all coefficients in the z-row are non-negative.

Therefore, the optimal solution is x1 = 4, x2 = 0, x3 = 1, w = 0, and the minimum value of the objective function is 0.

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Answer:

the correct answer is -0.5%