6. [-/1 Points] DETAILS MARSVECTORCALC6 2.4.009. Determine the velocity vector of the given path. r(t) = (8 cos2(t), 7t – t3, 7t) =

Answer:

2

Step-by-step explanation:

a negative x negative is always a positive

a negative x positive is negative

a positive x positive is negative

Answer:

x=-12

Step-by-step explanation:

4 = -8 - x

First, step +8 to get it to the other side of the question, then it will be 12 = -x

to get x move the negative to the other side x = -12

Can i have brainly please

Given statement solution is :- a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

a) Power set for two sets A and B with any 2 elements:

Set A: {1, 2}, Set B: {3, 4}

Power set of A: {{}, {1}, {2}, {1, 2}}

Power set of B: {{}, {3}, {4}, {3, 4}}

Set A: {apple, banana}, Set B: {cat, dog}

Power set of A: {{}, {apple}, {banana}, {apple, banana}}

Power set of B: {{}, {cat}, {dog}, {cat, dog}}

Set A: {red, blue}, Set B: {circle, square}

Power set of A: {{}, {red}, {blue}, {red, blue}}

Power set of B: {{}, {circle}, {square}, {circle, square}}

b) Power set for two sets A and B with any 3 elements:

Set A: {1, 2, 3}, Set B: {4, 5, 6}

Power set of A: {{}, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, {1, 2, 3}}

Power set of B: {{}, {4}, {5}, {6}, {4, 5}, {4, 6}, {5, 6}, {4, 5, 6}}

Set A: {apple, banana, orange}, Set B: {cat, dog, elephant}

Power set of A: {{}, {apple}, {banana}, {orange}, {apple, banana}, {apple, orange}, {banana, orange}, {apple, banana, orange}}

Power set of B: {{}, {cat}, {dog}, {elephant}, {cat, dog}, {cat, elephant}, {dog, elephant}, {cat, dog, elephant}}

Set A: {red, blue, green}, Set B: {circle, square, triangle}

Power set of A: {{}, {red}, {blue}, {green}, {red, blue}, {red, green}, {blue, green}, {red, blue, green}}

Power set of B: {{}, {circle}, {square}, {triangle}, {circle, square}, {circle, triangle}, {square, triangle}, {circle, square, triangle}}

c) Power set for two sets A and B with any 4 elements:

Set A: {1, 2, 3, 4}, Set B: {5, 6, 7, 8}

Power set of A: {{}, {1}, {2}, {3}, {4}, {1, 2}, {1, 3}, {1, 4}, {2, 3}, {2, 4}, {3, 4}, {1, 2, 3}, {1, 2, 4}, {1, 3, 4}, {2, 3, 4}, {1, 2, 3, 4}}

Power set of B: {{}, {5}, {6}, {7}, {8}, {5, 6}, {5, 7}, {5, 8}, {6, 7}, {6, 8}, {7, 8}, {5, 6, 7}, {5, 6, 8}, {5, 7, 8}, {6, 7, 8},

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When arranging indistinguishable objects in such a way that no two objects are in the same row or column, the number of possible arrangements depends on the dimensions of the grid.

The number of ways to arrange indistinguishable objects without any repetitions in a grid, such that no two objects are in the same row or column, depends on the dimensions of the grid. Let's assume the grid has M rows and N columns. In this case, the number of possible arrangements can be determined using combinatorics.

To find the total number of arrangements, we start with the first column. There are M choices for the first object in this column. Moving to the second column, there are M-1 choices since we need to avoid repetition within the same row. Continuing this process, the number of choices decreases by 1 for each subsequent column.

Therefore, the total number of arrangements can be calculated as M x (M-1) x (M-2) x ... x (M-N+1), where N is the number of columns. This can be further simplified as M! / (M-N)!, where "!" represents the factorial operation.

In conclusion, when arranging indistinguishable objects in a grid such that no two objects are in the same row or column, the number of possible arrangements depends on the dimensions of the grid. By applying combinatorial principles, the total number of arrangements can be calculated using the formula M! / (M-N)!.

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Answer:

11 pounds of flour and 16.5 sticks of butter

Step-by-step explanation:

2/64 = 0.03125

3/64 = 0.046875

0.03125 * 352 = 11

0.046875 * 352 = 16.5

Answer:

15 1/2 sticks of butter, and 11 pounds of flower, hoped this helped.

Step-by-step explanation:

Answer:     Seven hundred thirteen point forty-nine.

Step-by-step explanation:    Hope this helps ;)

Answer:

1 meter

Step-by-step explanation:

Circumference of circle = 2 · r · π

Circumference = 2π

Let's solve

2π = 2 · r · π

2 = 2 · r

r = 1 meter

So, the radius is 1 meter

\(\\ \rm\Rrightarrow 3.2\times 10^3\)

\(\\ \rm\Rrightarrow 32\times 10^2\)

\(\\ \rm\Rrightarrow 320\times 10^1\)

\(\\ \rm\Rrightarrow 320(10)\)

\(\\ \rm\Rrightarrow 3200\)

Answer:

3200

Step-by-step explanation:

3.2·10^3

You move your decimal right three times. and you should get 3200.

3.2·10^3=3200

In the given figure, the bisector of <ACU meets Au at O therefore <COT=1/2(<CAT+<CUT)​

You should be aware that the word congruent means similar or the same.  congruent angles are angles that are similar in size.

The question is to prove that <COT = <A + <OCA

= <CAT + 1/2 <OCA

= <CAT + 1/2(<TUC - <CAT)

Simplify further to have

=1/2<CAT +1/2<TUC

=1/2C<CAT+<CUT

Conclusively the two angles are congruent to each other    

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Answer:

Step-by-step explanation:

the second one and last one

A

source: trust me bro

Answer:

20 percent

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

since 100% is a 200, half of them were circus clowns 200/2 = 100

so 100 persons are 50%

from these 100, only 60 graduated as rodeo clowns and 40 as memes

1 percent of 200 is 2, so 40/2=20%

The required area is 12 cm².

A rectangle is a type of parallelogram having equal diagonals.

All the interior angles of a rectangle are equal to the right angle.

The diagonals of a rectangle do not bisect each other.

The given shape is there on a centimeter square grid.

The side of each square is 1 cm.

Then, it is clear from the figure that it consists of a rectangle of dimensions 4 × 2 and one triangle having height h = 2 cm and base b = 4cm.

Now, the area of the given shape is the sum of the area of the rectangle and the triangle.

It can be written as,

Area of the shape  = Area of rectangle + Area of triangle

                               = length × breadth + 1/2 × base × height

                               = 4 × 2 + 1/2 × 4 × 2

                               = 12

Hence, the area of the given shape is 12 cm².

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The required area of the given figure is 12 squared units.

Given that,
A figure has been shown we have to determine the area of the figure,

Surface area is defined as the measure of a region or surface is called as surface area.

Here,
The area of the given figure is given as,
Area = area of the rectangle + area of the larger triangle - area of the small triangle.
Area = 2 × 4 + 1/2 [6 × 2] - 1/2 [2×2]
Area = 8 + 3×2  - 2
Area = 8 + 6 - 2
Area = 14 - 2
Area = 12 squared units.

Thus, the required area of the given figure is 12 squared units.

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Assuming the track is straight, the distance at which they are apart one hour before they meet is; 30 km

We are told that a Nonstop trains leave Toronto and Montreal at the same time each day going to the other city along the main line.

Speed of Train 1 = 120 km/h

Speed of Train 2 = 90 km/h

Time spent by train 1 = 1 hour

Time spent train 2 = 1 hour

Formula for distance is;

Distance = Speed * time

If they leave the same time each day, it means that;

Distance of train 1 = 120 * 1 = 120 km

Distance of train 2 = 90 * 1 = 90 km

Thus, distance at which they will be apart before meeting each other is;

Distance apart = 120 - 90

Distance apart = 30 km

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Answer:

See below

Step-by-step explanation:

2/3 of the height is brick     height is   2  3/4 feet

 Brick portion =   2/3  *  2  3/4   ft

Answer: x=-11

Step-by-step explanation:

5(x+5)=2x-8

5x+25=2x-8

5x+25-25=2x-8-25

5x=2x-33

3x=-33

x=-11

The value of x in the given expression is -11.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that; Five times the sum of x and 5 is 8 less than twice x.

WE are asked to Solve for x.

Then the expression form as;

5(x+5)=2x-8

Now solve for x;

5x+25=2x-8

Subtract 25 on both sides;

5x+25-25=2x-8-25

5x=2x-33

3x=-33

x=-11

Therefore, the value of x in the given expression is -11.

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Answer:

t = 4

Step-by-step explanation:

\(\frac{t}{7}\) = \(\frac{32}{56}\) ( cross- multiply )

56t = 7 × 32 = 224 ( divide both sides by 56 )

t = 4

Step-by-step explanation:

\( \frac{t}{7} = \frac{32}{56} \\ t = \frac{32 \times 7}{56} \\ t = \frac{32}{8} \\ t = 4\)

The equation of line that passes through the point (6, -1) & is parallel to the line represented by 8x + 3y = 15, in standard form is: 8x + 3y = 45.

Equation of a line in standard form is:

Ax + By = C

where A, B & C are constants.

As the required line is parallel to the given line, that is 8x + 3y = 15, the slope of the required line will be same as that of the given line.

Slope intercept form of a line is:

y = mx + b

where, m is slope of the line, b is a constant.

Re-writing the equation of the given line in slope-intercept form:

⇒ 3y = -8x + 15

⇒ y = (-8/3)x + 5

⇒ slope = m = -8/3

Now as the required line is parallel to the given line, hence its slope-intercept form will be

y = (-8/3)x + b

As the line passes through the point (6, -1),

⇒ -1 = (-8/3)×6 + b

⇒ b = 15

Hence, the slope-intercept form of the required line is

y = (-8/3)x + 15

Re-writing it in standard form, the equation comes out to be

8x + 3y = 45

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The standard deviation of a set of seventeen numbers described by Σx=272 Σx² = 11849​ is 21.

The term "standard deviation"  refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

We have Σx=272 and Σx² = 11849​.

n= 17

So, the Variance of the Data

= Σx²/n - (Σx/ n)²

= 11849 / 17 - (272/17)²

= 697 - 256

= 441

Then, the Standard deviation is

= √Variance

= √441

= 21

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Answer:

A

Step-by-step explanation:

Concept :-

On converting :-

\(\bf\implies y + 5 =\dfrac{1}{3}(x-9)\\\\\bf\implies y + 5 =\dfrac{1}{3}x - 3 \\\\\bf\implies y = \dfrac{1}{3}x - 3 - 5 \\\\\bf\implies\boxed{\red{y = \dfrac{1}{3}x -8 }}\)

The required, a. percent change each year is 32%. and after approximately 5.76 years, Mountain Creek will have over 2,000 snowboarders with season passes.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
a. The percent change each year can be calculated as,
percent change = ((y times 1.32)/y - 1) x 100
percent change = (1.32 - 1) x 100
percent change = 32%

So the percent change each year is 32%.

b. We can solve for x when y = 2,000 by substituting these values into the given equation and solving for x,
2,000 = 205(1.32)ˣ

(1.32)ˣ = 2,000/205

x = log base 1.32 (2,000/205)

x = 5.76 (rounded to two decimal places)

Therefore, after approximately 5.76 years, Mountain Creek will have over 2,000 snowboarders with season passes.

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The density of rubbing alcohol with the mass 45 g and volume of 57 ml will be;

⇒ 0.789 g/mL

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The mass of the rubbing alcohol = 45gm

The volume of rubbing alcohol = 57ml

Now,

Since, Density = Mass / Volume

Substitute all the values , we get;

Density of rubbing alcohol = 45 / 57 g/mL

                                         = 0.789 g/mL

Thus, The density of rubbing alcohol with the mass 45 g and volume of 57 ml will be;

⇒ 0.789 g/mL

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Answer:

x = 100/9

Step-by-step explanation:

1) Square both sides.

\(9x=100\)

2) Divide both sides by 9.

\(x = \frac{100}{9}\)

Decimal Form: 11.111111

1) Let \(x = \frac{100}{9}\).

\(3\sqrt{\frac{100}{9} } =10\)

2) Simplify \(\sqrt{\frac{100}{9} }\) to \(\frac{\sqrt{100} }{\sqrt{9} }\).

\(3\times\frac{\sqrt{100} }{\sqrt{9} }=10\)

3) Since 10 x 10 = 100, the square root of 100 is 10.

\(3\times\frac{10}{\sqrt{9} }=10\)

4) Since 3 x 3 = 9, the square root of 9 is 3.

\(3\times\frac{10}{3} =10\)

5) Cancel 3.

10 = 10

Answer:

24 different outcomes

Step-by-step explanation:

The answer is 24 different possible outcomes. Since there are 4 colors and 6 numbers. Multiply the 4 by 6 to get 24. Hope this helps

Using the arrangements formula, it is found that:

a) There are 1365 possible outcomes that contain exactly four tails.

b) There are 1,307,674,399,889 possible outcomes that contain at least three heads.

The number of possible arrangements of n elements is given by the factorial of n, that is:

\(A_n = n!\)

When there are repetitions, the number of ways is given as follows:

\(A_{n}^{n_1, n_2, \cdots, n_n} = \frac{n!}{n_1!n_2! \cdots n_n!}\)

In which \(n_1, n_2, \cdots, n_n\) are the numbers of repetitions.

Item a:

11 heads and 4 tails, hence:

\(A_{15}^{11,4} = \frac{15!}{11!4!} = 1365\)

There are 1365 possible outcomes that contain exactly four tails.

Item b:

The total number is:

\(A_{15} = 15! = 1,307,674,400,000\)

With no heads:

\(A_{15}^{15,0} = \frac{15!}{15!0!} = 1\)

With one head:

\(A_{15}^{14,1} = \frac{15!}{14!1!} = 15\)

With two heads:

\(A_{15}^{13,2} = \frac{15!}{13!2!} = 95\)

Hence the number of outcomes with less than three heads is:

1 + 15 + 95 = 111

With at least three heads, the number of outcomes is:

\(1,307,674,400,000 - 111 = 1,307,674,399,889\)

There are 1,307,674,399,889 possible outcomes that contain at least three heads.

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