Find the work done by F over the curve in the direction of increasing t. 5) F- -8yi+ 8xj +3z4k; C: r(t) cos ti+ sin tj, 0 sts7 4) f(x, y, z)_ex7, y8+27 d the work done by F over the curve in the direction of increasing t. 5) F- -8yi + 8xj+ 3z4k; C: r(t) - cos ti + sin tj, 0sts7 e vector field F to determine if it is conservative. Find the work done by F over the curve in the direction of increasing t. 5) F- -8yi+ 8xj +3z4k; C: r(t) cos ti+ sin tj, 0 sts7

Answers

Answer 1

The work done by the vector field F = -8y i + 8x j + 3z^4 k over the curve C, given by r(t) = cos(t) i + sin(t) j, from t = 0 to t = π/4, in the direction of increasing t, is equal to -1/4.

To calculate the work done by the vector field F over the curve C, we use the line integral formula:

Work = ∫ F · dr,

where dr represents the differential displacement vector along the curve C.

In this case, F = -8y i + 8x j + 3z^4 k and r(t) = cos(t) i + sin(t) j. To find dr, we differentiate r(t) with respect to t:

dr = (-sin(t) i + cos(t) j) dt.

Now, we can calculate F · dr:

F · dr = (-8sin(t) i + 8cos(t) j + 3z^4 k) · (-sin(t) i + cos(t) j) dt

      = -8sin(t)cos(t) + 8cos(t)sin(t) dt

      = 0.

Since the dot product is zero, the work done by F over the curve C is zero. Therefore, the work done by F over the curve C, in the direction of increasing t, from t = 0 to t = π/4, is equal to 0.

Hence, the work done by the vector field F over the curve C in the direction of increasing t is 0.

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Related Questions

BRAINLIEST ASAP Please help

Answers

This is a right triangle because 33+57=90 which means the other angle must be 90.

Elizabeth has a summer job at the gym. She earns a $30 bonus for each gold membership that she sells and a
$15 bonus for each silver membership that she sells.

Write a polynomial expression that describes Elizabeth’s total bonus

Answers

The polynomial expression would be 30G + 15S.

What is the polynomial expression?

A polynomial expression is an algebraic expression that is made up of one or more terms, where each term is the product of a constant coefficient and one or more variables raised to a non-negative integer power.

Elizabeth earns a $30 bonus for each gold membership she sells, and a $15 bonus for each silver membership she sells. Let G be the number of gold memberships she sells and S be the number of silver memberships she sells.

We can express Elizabeth's total bonus as:

$30G + $15S

This is a polynomial expression because it is a sum of two or more terms, each term being the product of a constant coefficient and a non-negative power of a variable.

It is also a linear polynomial expression because the highest power of the variable is 1.

Hence, the polynomial expression would be 30G + 15S.

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Is the statement always, sometimes, or never true? The LCM of 2 numbers is the product of the two numbers. Give at least 2 examples to support your reasoning.

Answers

The given statement "The LCM of 2 numbers is the product of the two numbers" is false because the LCM of 2 numbers does not have to be product of the numbers involved.

How to illustrate the LCM?

The smallest positive integer that is divisible by both a and b is known as the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b in mathematics and number theory.

The statement is "never" true. The LCM (Least Common Multiple) of two numbers is the smallest multiple that is common to both numbers, whereas the product of two numbers is simply the result of multiplying the two numbers together.

For example, the LCM of 2 and 3 is 6, whereas the product of 2 and 3 is 6. But the LCM of 2 and 4 is 4 , whereas the product of 2 and 4 is 8.

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Solve the system of linear equations by graphing please solve all on graph and where both points intercept

Answers

Therefore , the solution of the given problem of linear equation comes out to be x = 4 and y =4.

How a linear equation is defined.

A model of linear regression is one that applies the formula y=mx+b. B is the slope, and m is the y-intercept. Ignoring the fact that while both y and y are distinct components, the previous sentence is frequently referred as a "mathematical formula with two variables." Bivariate linear equations only have two variables. The application domains of linear equations have zero solutions in all cases. The equation for a single system of equations is Y=mx+b, where m stands for the gradient & b for the y-intercept. Y=mx+b, where m stands for slopes and b for the y-intercept, is how the equation is expressed.

Here,

Given :

=>  y = 2x -4

=> x + 2y = 12

and

=> x + 2(2x -4) = 12

=>  x + 4x - 8  =12

=>  5x = 20

=> x = 4

=> y = 2(4) - 4

=>  y = 8 -4

=> y =4

Therefore , the solution of the given problem of equation comes out to be x = 4 and y =4.

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Consider the following frequency table representing the scores on a test. . Scores on a Test Class Frequency 20-38 7 39-57 5 58-76 9 77-95 5 96-114 3

Answers

The answer is :

a) The lower class boundary for the fifth class is 96.

b) The upper-class boundary for the second class is 57.

c) The class width is 18.

d) Number of scores between 19.5 and 95.5 is 26.

a) Fifth class is 96-114.

The lower class boundary for the fifth class is 96.

b) Second class is 39-57.

The upper-class boundary for the second class is 57.

c) Class width = 38- 20 = 18, 57-39 = 18, 76- 58 = 18, 95-76 = 18, 114 - 93=18

So, the class width is 18.

d) Number of scores between 19.5 and 95.5 is = 7 + 5 +9 +5 = 26

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The complete question is:

Consider the following frequency table representing the scores on a test. . Scores on a Test Class Frequency 20-38 7 39-57 5 58-76 9 77-95 5 96-114 3

Required:

a. Determine the lower class boundary for the fifth class.

b. Determine the upper-class boundary for the second class.

c. Determine the class width of each class.

d. Determine the number of scores between 19.5 and 95.5

How likely is the spinner to land a consonant rather than a vowel?

Answers

The likelihood of the spinner to land on a consonant rather than a vowel is C. Less likely.

How to find the likelihood ?

The likelihood of the spinner landing on a consonant rather than a vowel can be found by the formula :

= Number of consonants / Number of outcomes on the spinner

= 4 / 9

= 0. 44

This likelihood is less than 50 % which is what would have made the likelihood equally likely. However, it is not much lower than 50 % so the likelihood would be less likely.

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Is the linear expression a factor of the polynomial?
Polynomial: 2x³ +15x²-9x-10
Linear Factor. x+8

Answers

Missing: 2x³ ‎+15x²- ‎10Linear

Step-by-step explanation:

May I have help on this please? thanks if you do!

Answers

Answer: 1. linear equation

2. non-linear equation

3. non-linear equation

4. non-linear equation

5. linear equation

Step-by-step explanation:

not sure

Suppose the cost of a new computer is $650 and the sales tax is 7.5%. What is the total cost of this computer, including the tax?​

Answers

Answer: $698.75

Step-by-step explanation: 7.5% of 650 is $48.75. 650 plus 48.75 = 698.75

The volume of a cylinder is 90pie cm³. If the radius is 3 cm, what is the height
of the cylinder?

Answers

Answer:

The height of the cylinder is 10 cm.

Step-by-step explanation:

1. The volume of a cylinder is given by

-V = pi r^2 h  where r is the radius and h is the height

- 90 pi = pi r^2 h

2. We know the radius is 3

-90 pi = pi (3)^2 h

-90 pi = 9 pi h

3. Divide each side by 9 pi

- 90 pi /9 pi = 9 pi h / 9pi

- 10 =h

The height of the cylinder is 10 cm.

Eric invests an amount in a bank that pays compound interest at a rate of 2.16% per year at the end of 5 years , the value of his investment is $6999.31 calculate the amount eric invests

Answers

The amount of eric investment would be $ 6290.

What is meant by compound interest?

Investors benefit from compound interest, although the term "investors" can indicate many different things. For instance, banks profit from compound interest when they make loans and then reinvest the interest they earn to make more loans. When holders of deposits receive interest on their bank accounts, bonds, or other investments, they also profit from compound interest.

The concept of compound interest applies outside of contexts where the phrase is normally employed, such as bank accounts and loans, despite the fact that the term compound interest includes the word interest.

Let the rate of interest be 2.16 % per year

Time n = 5 years

Amount A = $6999.31

A = P(1 + R/100)ⁿ

substitute the values in the above equation, we get

⇒ 6999.31 = P (1  + 2.16/100)⁵

simplifying the equation, we get

⇒ P = 6290

Therefore, the amount of investment would be $ 6290.

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find each measure using the information given
G is the incenter of ABC
a)GD
b)BG
c)FC
d)BF
if possible can you show the equation break down if some are needed

Answers

If G is the incenter of triangle ABC the values of the unknown sides are

a) GD = 12

b) BG = 13.42

c) FC = 35

d) BF = 6

How to find the unknown dimensions

Considering that G is the incenter of triangle ABC, we have that

GE = GD = GF

Using the right triangle CDG and applying Pythagoras theorem given by  the formula

hypotenuse² = opposite² + adjacent²

plugging the values as in the problem

GC² = GD² + DC²

37² = GD² + 35²

GD² = 37² - 35²

GD² = 144

take square root of both sides

GD = √144

GD = 12

Using the right triangle BEG to solve for BG

BG² = EB² + GE²

BG² = 6² + 12²

BG² = 180

take square root of both sides

BG = √180

BG = 13.42

Using the right triangle CFG to solve for FC

GC² = GF² + FC²

rearranging the equation

FC² = GC² - GF²

FC² = 37² - 12²

FC² = 1225

take square root of both sides

FC = √1225

FC = 35

Using the right triangle BFG to solve for BF

BG² = GF² + BF²

rearranging the equation

BF² = BG² - GF²

BF² = 13.42² - 12²

BF² = 36.0964

take square root of both sides

BF = √36.0964

BF = 6

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what is the function rule for the line ?

Answers

The function rule for the line is,

f(x) = -2/3x -2.

The correct option is B.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

From the diagram,

the function has y-intercept at -2 and x-intercept at -3.

To find the slope:

First, we interpreted two points (-3, 0) and (0, -2).

Then the slope,

m =  (y₂- y₁) / (x₂ - x₁)

m = (-2, 0)/(0 + 3)

m = -2/3

Now, the equation is,

f(x) = -2x/3 - 2

Therefore, the equation is,

f(x) = -2x/3 - 2

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The function f is defined by f(x) = x^2 +
3x – 10. If f(x - 2) = x^2 + bx + c, what
are the values of b and c?

(Please explain too, I want to know how to do this)

Answers

The value of c is -12

What are functions?

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given: f(x) = x² +3x – 10 and  f(x - 2) = x²+ bx + c

f(x - 2)= (x-2)²+3x-6-10

           =  x² -4x+4+3x-16

           =x²-x-12

Thus comparing it to the given equation we get c=-12

Hence, the value of c is -12

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a rectangular piece of marble is cut such that the width is triple the length and the height is double the width. write a polynomial function v (x) in standard form for the volume of the piece of marble, where a is the length of the marble. v(x) =

Answers

A polynomial function v (x) in standard form for the volume of the piece of marble is v(x) = 18a^3.

What is volume?

Volume is a term used in mathematics to describe the volume of three-dimensional space occupied by an object or a closed surface. The measurement of volume is done in cubic units, like m^3, cm^3, in^3, etc. Volume is also referred to as capacity on occasion.

Given:

A rectangular piece of marble is cut such that the width is triple the length and the height is double the width.

We have to write a polynomial function v (x) in standard form for the volume of the piece of marble.

Let 'a' is the length of the marble.

⇒  Width of marble = 3a      (width is triple the length)

⇒ Height of marble = 2(3a) = 6a           (height is double the width)

⇒ Volume of marble = length x width x height

                                  = a x 3a x 6a

   Volume of marble = 18a^3

Hence, a polynomial function v (x) in standard form for the volume of the piece of marble is v(x) = 18a^3.

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Suppose your family is going to buy a new air conditioning unit. A more expensive brand cost $2600 to buy but only $50 a month to operate. Let “x” represent time in months.

a. write an equation for the cost of the cheaper brand
b. Write an equation for the cost of the more expensive brand.
c. What is the cost of running the cheaper unit for 36 months?
d. For how many months will the cost of both brands be equal?

Answers

An equation for the cost of the cheaper brand is y = 60x + 1,800.

An equation for the cost of the more expensive brand is y = 50x + 2,600.

The cost of running the cheaper unit for 36 months is $3,960.

The number of months for which the cost of both brands would be equal is 8 months.

How to write an equation to model this situation?

In order to write an equation that model this situation, we would assign variables to the time and cost respectively, and then translate the word problem into algebraic equation as follows:

Let the variable x represent the time measured in months.Let the variable y represent the cost measured in dollars.

Since a brand cost $1800 to buy with a monthly operation fee of $60, an equation for the cost of this cheaper brand is given by:

y = 60x + 1,800.

When x = 36 months, the cost of running the cheaper unit is given by:

y = 60(36) + 1,800.

y = $3,960.

For the more expensive brand, we have:

y = 50x + 2,600.

Next, we would determine the number of months for which the cost of both brands would be equal;

50x + 2,600 = 60x + 1,800

60x - 50x = 2,600 - 1,800

10x = 800

x = 800/10

x = 8 months.

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Complete Question:

Suppose your family is going to buy a new air conditioning unit. One brand costs $1800 to buy and $60 a month to operate. A more expensive brand cost $2600 to buy but only $50 a month to operate. Let “x” represent time in months.

a. write an equation for the cost of the cheaper brand

b. Write an equation for the cost of the more expensive brand.

c. What is the cost of running the cheaper unit for 36 months?

d. For how many months will the cost of both brands be equal?

The graph of a piecewise function is shown.
The graph shows a piecewise function in 3 pieces. The first piece is curved and increasing from the left through negative 3 comma negative 7 and ends at a closed point negative 2 comma negative 2. The second piece is linear with an open point at negative 2 comma negative 1 and another endpoint at 2 comma 1. The third piece is curved with an endpoint at 2 comma 1, and it goes through the point 3 comma 6 and continues to increase to the right.


What is the domain of the function?

(−∞,∞)
[−∞,∞]
(−∞,0)
(0,∞)

Answers

The domain of the piecewise function as described in the task content is; ( −∞ , ∞ ).

What is the domain of the described piecewise function?

It follows from the task content that the domain of the piecewise function which is as described in the task content be determined.

The domain of a function is the set of all possible input values of that function.

For the first piece, since the curve increases from left ( -∞ ) through a point and ends at a closed point (-2, -2). Hence, the set of inputs for the first piece in interval notation is; ( -∞, -2 ].

Also, for the second piece which is linear with an open point at (-2, -1) and ends at an endpoint (2, 1). Hence, the domain of the second piece is; [-2, 2].

Finally, the third piece is curved with an endpoint at (2, 1) and continues to increase tonthe right. Hence, the domain of the third piece is; [2, ∞)

Ultimately, by combining all sets of input values as determined; ( -∞, -2 ], [-2, 2] and [2, ∞); the domain of the whole piecewise function is; (−∞,∞).

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find the sum of the measures of interior angles of the indicated convex polygon
(a) nonagon (b)dodecagon c) 23-gon ?

Answers

(a) The sum of the interior angles of the nonagon is 1260°.

(b) The sum of the interior angles of the dodecagon is 1800°.

(c) The sum of the interior angles of the 23-gon is 3780°.

What is a convex polygon?

A convex polygon is a closed figure with all of its interior angles less than 180° and all of its vertices pointing outward. The term convex refers to a shape with a curve or a projecting surface. To put it another way, all of the lines across the outline are straight and point outwards.

The formula for the sum of the interior angle is (n -2)180°.

The number of sides of the nonagon is 9.

Putting n = 9 in (n -2)180°, to find the sum of interior angle of nonagon:

The sum of the interior angle is (9 -2)180° = 1260°.

The number of sides of dodecagon is 12.

Putting n = 12 in (n -2)180°, to find the sum of interior angle of dodecagon:

The sum of the interior angle is (12 -2)180° = 1800°

Putting n = 23 in (n -2)180°, to find the sum of interior angle of 23-gon:

The sum of the interior angle is (23 -2)180° = 3780°.

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Is a scale factor of 1/3 an enlargement?

Answers

A scale factor of 1/3 is not an enlargement. A scale factor of less than 1 is considered a reduction and not an enlargement.

An enlargement is a transformation that increases the size of a figure, it is characterized by a scale factor greater than 1. A dilation with a scale factor greater than 1 will increase the size of a figure and thus is considered an enlargement.

A dilation with a scale factor of 1/3 will decrease the size of a figure, as each point on the figure will be moved one-third as far from the origin as it was before the dilation. This means that the dilated figure will be smaller than the original figure and will have a scale factor of 1/3.

It's important to note that if the scale factor is less than 1, the dilation will reduce the size of the figure and if the scale factor is greater than 1, the dilation will increase the size of the figure.

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This is a two part question. For the first blank, type the letter associated with with
the correct graph of this system. For the second blank, type the correct solution to
the system in point notation: (x,y).
Let
f(x) = (x − 2)² – 3
g(x) = -4x+1
==
A
C
B
D

Answers

The solutions to the system of equations in this problem is given as follows:

(0,1) and (0.25, 0).

The graph is given by the image presented at the end of the answer.

How to solve the system of equations?

The equations that compose the system in this problem are given as follows:

f(x) = (x - 2)² - 3.g(x) = -4x + 1.

We solve the system graphically, hence the solution is given by the point of intersection of the graphs of the two functions.

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{41,57,77,83,95}

what is the set of even numbers that correspond to the given set of odd numbers that satisfy the function is
A. {42,58,78,84,96}
B. {44,60,80,86,98}
C. {82,114,154,166,190}
D. {84,116,156,168,192}
E. {86,118,158,170,194}

Answers

Letter A (42,58,78,84,96)

Find RS and QR in rectangle PQRS

Answers

RS and QR are -8 and -5, respectively, in the rectangle P Q R S. Consequently, v is equal to 23.

What is the value of QR and RS ?

here, QR is 3 v - 77, RS is 4 v - 97, and PS is v-23.As a result,                   PS = v - 23 ⇒ v = 23. As a result, v has a value of 23. So,                           RS = 4 × 23 - 97 = -5 is used to calculate its value.So,                               QR = 3 × 23 - 77 = -8 is used to determine its value. A All of the internal angles of a rectangle's four sides are equal to 90 degrees.

Every corner or vertex has a right angle where the two sides meet. It differs from a square in that the length of the opposing sides of the rectangle are equal. First, determine the width w using the area of rectangle formula, which is "w = A/l," to determine the length and width of a rectangle.

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Katrina runs 15 miles in 2 1/2 hours what is the average number of minutes it takes her to run 1 mile

Answers

Answer: 45 min

Step-by-step explanation:

What is the additive inverse of 14 /- 15?

Answers

The additive inverse of 14 /- 15 is -14 /+ 15.

The antithesis of a number is the additive inverse. It is found by changing the sign of the number. To find the additive inverse of 14 /- 15, start by changing the sign of the number from a negative sign to a positive sign. The result is 14 /+ 15. This is the additive inverse of 14 /- 15. The additive inverse of any number is the same number, but with the opposite sign. For example, the additive inverse of -14 is 14, and the additive inverse of 14 is -14. The additive inverse of any number always adds up to zero when added together, which is why it is called the "additive inverse".

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The formula for the area A of a triangle with base length b and height / is as follows.
A
4= 1/2bh
Suppose the height of the triangle is 6 units longer than the base length. Rewrite A in terms of b only.
It is not necessary to simplify.
A =

Answers

Answer:

A = 1/2b^2 + 3b

Step-by-step explanation:

If the height of the triangle is 6 units longer than the base length, we can represent the height with the variable h and the base length with the variable b.

h = b + 6

We can substitute h with b+6 in the formula for the area of the triangle:

A = 1/2bh

A = 1/2b(b+6)

So, the area of the triangle can be represented in terms of b only, as

A = 1/2b^2 + 3b

Calculate the number of full meals a bag of dog food makes. On average, each dog gets 180 g of food and the bag is 50 kg.​

Answers

Answer:

277.777778 Or about 277 meals

Step-by-step explanation:

We can find this out by converting 50 kg into grams. There are 1000 grams in a kg. So to convert 50 kg into grams we have to multiply by 1000. 50 x 1000 = 50000 g. 50000g / 180 g = 277.777778 or about 277.

Does 15 12/9 make a triangle?

Answers

Answer: No it doesnt

Step-by-step explanation:

12+9 = 21 which is greater than 15 meaning it cannot create a triangle

Can a triangle be constructed with sides 2.5 cm 3.0 cm and 6.5 cm give reason?

Answers

Based on the side-side-side rule, it is possible to construct the triangle.

Let the side a be 2.5 cm, side b be 3.0 cm and side c be 6.5 cm. Now, the sum of any two sides of triangle should be greater than the thrid side of triangle.

Side a + side b > side c

2.5 + 3 > 6.5

Performing addition on Left Hand Side of the equation

5.5 not greater than 6.5

Side b + side c > side a

3 + 6.5 > 2.5

Performing addition on Left Hand Side of the equation

9.5 > 2.5

side c + side a > side b

6.5 + 2.5 > 3

Performing addition on Left Hand Side of the equation

9 > 3

Thus, the right angled triangle can be constructed from sides 2.5 cm 3.0 cm and 6.5 cm.

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Aurelia is buying a new computer the shipping cost is 8% of the purchase price if Aurelia’s computer costs $585 how much will it cost to have it shipped show your work

Answers

It will cost Aurelia $631.80 to have her new computer shipped.

To calculate the shipping cost, we need to multiply the purchase price of the computer by the percentage of shipping cost, which is 8%.

To do this, we can use the following formula:

Shipping cost = Purchase price x (Shipping percentage/100)

In this case, the purchase price is $585 and the shipping percentage is 8, so we can plug in these values into the formula:

Shipping cost = $585 x (8/100)

Now we can solve the shipping cost:

Shipping cost = $46.80

So the total cost for Aurelia to have her new computer shipped would be

$585 + $46.80 = $631.80.

Thus, it will cost $631.80 for Aurelia to have her new computer shipped.

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The Expression (t^6) (t^-14) is equivalent to t^n . What is the value of n

Answers

The equation (t6)(t-14) is identical to tn when n = 8. A mathematical expression is composed of numbers .

what is expressions ?

You can multiply, divided, add, or take something away in mathematics. An expression is put together as follows: Expression, numeric value, and math operator A mathematical expression is composed of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) Contrasting phrases and emotions is possible. An algebraic expression is any mathematical statement that has elements, quantities, and an arithmetic operation. As an illustration, the phrase 4m + 5 consists of the terms 4m and 5, as well as the given equation's variable m, which are all split by the algebraic sign +.

given

(t^6) (t^-14) = t^n

= 6 -14 = n

n = 8

The equation (t6)(t-14) is identical to tn when n = 8.

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Which could be the missing data item for the given set of data if the median of the complete data set is 15?11, 23, 12, 18, 11, 10, 19, 15, 19, 21, 13, 17, 24, 14 A. 16 B. 18 C. 20 D. 11 Robespierre and his supporters created a new calendar. Why would they want to wipe out ""every trace of frances past?"". Jane Bouvier is a computer scientist working for a state university. Her job description states that she is responsible for the development and maintenance of the College of Business web sites. Jane was not permitted to take the training classes that her male counterparts in other colleges in the university were permitted to take, at university expense. Jane felt that she was falling behind without this additional training. When she raised her concern to her supervisor she was told that she would have to pay for the training herself. Answer the following questions:a. What law is the university likely violating and what type of claim should Jane bring under this law?b. What does Jane have to establish to prove discrimination in this case?c. What case from the text is similar to this situation?Please explain your answers. How did socialist suggest solving the inequities caused by the industrial revoluton When selecting an investment, which criterion relates to the expected rate of return on an investment, usually over a period of one year? The inner surface of the eyelids and the exposed surface of the eye itself are covered by:_______ Using the Punnett square that you created in question number 5, what is the probability that the resulting child will be heterozygous for Huntingtons disease ? A. 25%B. 50%C. 75%D. 100% Matt's four cousins are coming to visit. There are four identical rooms that they can stay in. If any number of the cousins can stay in one room, how many different ways are there to put the cousins in the rooms Please can someone explain how to answer these asap.I struggle with the present tense. Assume that the random variable X is normally distributed, with mean = 90 and standard deviation = 12. Compute the probability P(X < 105). For what mechanistic reason does g1 of lactase first act as a brnsted acid during catalysis?. Choose the sentence that works best as a topic sentence for the followingdescription paragraph:It's a long yellow tube that's tied at one end with a purplestring. The material inside is soft and spongy, so the toymoves back and forth wildly when we play with it. And itmakes a surprisingly loud, high-pitched squeak when it'ssqueezed in the middle. Basil can play with this toy forhours.A. This is Basil's favorite cat toy.B. Basil likes to sleep after we play.C. I bought it at Pets R Us.D. Basil's last toy was more fun than this one. ____________________ is a condition characterized by poor muscle control, spasticity, speech defects, and other neurologic deficiencies. Determine what strategy should be used in the following situation. You are demoting an employee to avoid laying them off. What is the climate seen throughout most of the south and south east United States (d) A force of 30 N is required to accelerate a skateboard at 1.5 m/s. How much forcewould accelerate the same skateboard at 6.0 m/s? Which of the following lists is in order from smallest to largest? 5/8, 0.6, 6.2%, 2/3, 2/3, 5/8, 0.6, 6.2% 6.2%, 0.6, 5/8, 2/3, 0.6, 6.2%, 5/8, 2/3 What is the formula of the force?? The triangles are similar. Find the value of the variable. If a single 2 hp motor draws 13.8 amps on 115 volt ac current, how much current would 9 identical motors pull? what is the answer and how do you solve it?