A 3-inch by 5-inch index card is rotated around a horizontal line and a vertical line to produce two different solids. Which solid has a greater volume

Answer:

d = 261 miles

Step-by-step explanation:

Given that,

The distances (in miles) driven in the past week by each of a company's sales representatives are listed below.

78 126 238 284 310 356

We need to find the median of the distances.

There are 6 data. If n is even,

[tex]median =\dfrac{\dfrac{n}{2}^{th}+(\dfrac{n}{2}+1)^{th}}{2}\\\\median =\dfrac{\dfrac{6}{2}^{th}+(\dfrac{6}{2}+1)^{th}}{2}\\\\=\dfrac{3^{rd}+4^{th}}{2}\\\\=\dfrac{238+284}{2}\\\\=261\ mi[/tex]

So, the median distance is 261 miles.

Answer:

x=5, y=16

Step-by-step explanation:

y=x^2-9

y=2x+6

solve by substitution

2x+6= x^2 -9

2x+6 = (x+3) (x-3)

2 (x+3) = (x+3) (x-3)

divide both sides by x+3

2= x-3

add 3 to both sides

x=5

y= 2(5) +6

y= 16

Answer:

Step-by-step explanation:

Solve by substitution:

Answer:

[tex]\triangle d=47.69 Knots[/tex]

Step-by-step explanation:

Distance of Ship A from B [tex]d_1=10 West[/tex]

Speed of Ship A [tex]V_a=17 knots West[/tex]

Speed of Ship A [tex]V_b=25 knots North[/tex]

Generally the equation for Rate of distance change is mathematically given by

[tex]\triangle d=\frac{1}{2\sqrt{(17t+10)^2+(25t)^2}}*\triangle t[17t+10^2+25t^2][/tex]

[tex]\triangle d=\frac{578+340+1250}{2\sqrt{(17t+10)^2+(25t)^2}}[/tex]

Therefore with

t=>4PM

We substitute

[tex]\triangle d=\frac{882(4)+420+648(4)}{2\sqrt(21(4)+10^2)+(18(4))^2}[/tex]

[tex]\triangle d=47.69 Knots[/tex]

Answer:

60

[tex]2^{2} * 3 * 5[/tex]

Step-by-step explanation:

Answer:

3x + 3

Step-by-step explanation:

First, the 2 must be distributed. This leaves us with x + 2x + 2 + 1. x and 2x are like terms, as are 2 and 1. They can be combined, giving us 3x + 3. 3x + 3 cannot be simplified any further, so it is the final answer.

Question: X + 2 (x + 1) + 1 in the simplest form

Answer: 3x+3

Answer: -2 2/3 or -8/3

Step-by-step explanation:

Hope this help

Answer:

remember that:

a*i + b*j + c*k can be written as a vector: (a, b, c)

We know the acceleration of the particle, and we want to find the velocity of the particle, so we just need to integrate two times.

a(t) = (8*t, sin(t), cos(2*t))

integrating that, we get:

V(t) = ( (1/2)*8*t^2, -cos(t), sin(2*t)/2) + v0

where v0 is the vector that defines the velocity at t = 0

in the question you wrote:

V(0) = i

so i suppose that this is:

V(0) = (1, 0, 0)

Then the velocity equation gives:

V(t) = ( (1/2)*8*t^2, -cos(t), sin(2*t)/2) + (1, 0, 0)

V(t) = (4*t^2 + 1, -cos(t), sin(2*t)/2)

Now to get the position equation, we integrate it again

r(t) = ((4/3)*t^3 + t, -sin(t), -cos(2*t)/4) + r0

where r0 is the initial position, in the question you wrote:

r(0) = j

so we get:

r(0) = (0, 1, 0)

replacing that we get:

r(t) = ((4/3)*t^3 + t, -sin(t), -cos(2*t)/4) + (0, 1, 0)

r(t) = ((4/3)*t^3 + t, -sin(t) + 1, -cos(2*t)/4)

Writing this in the same notation than in the question, we get:

r(t) = [(4/3)*t^3 + t}*i + [-sin(t) + 1]*j + [-cos(2*t)/4]*k

b) Now we want to graph this:

The image isn't really good but can be used to understand the motion of the particle.

Answer:

f(x) = x^2 ( x -4i) (x+4i)

Step-by-step explanation:

f(x) = x^4 + 16x^2

Factor out x^2

f(x) = x^2 ( x^2 +16)

f(x) = x^2 ( x^2 - -16)

The square root of -16 is 4i and -4i

Using the difference of square (a^2 - b^2) = (a-b)(a+b)

f(x) = x^2 ( x -4i) (x+4i)

Answer:

120 free throws

Step-by-step explanation:

If she misses 15% of her free throws, that means she makes 85% of them.

Find how many she attempted by dividing 102 by 0.85:

102/0.85

= 120

So, she attempted 120 free throws

The number of free throws that were attempted is 120 free throws.

Since the basketball player missed 15% of her free throws, This means that the percentage scored will be:

= 100% - 15% = 85%

Therefore, 85% of x = 102

0.85x = 102

x = 102/0.85.

x = 120

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Answer:

75

Step-by-step explanation:

I = PRT/100

Substitute the values

in

I = 500 * 5 * 3 /100

I = 75

9514 1404 393

Answer:

  R32.15

Step-by-step explanation:

Let x and y represent the original price of a loaf of bread and a liter of drink, respectively. The two relations given by the problem statement are ...

  10x +12y = 138.90

  10(1.2x) +12(1.1y) = 159.54

Multiplying the first equation by 1.2 and subtracting the second gives ...

  1.2(10x +12y) -(10(1.2x) +12(1.1y)) = 1.2(138.90) -(159.54)

  1.2y = 7.14 . . . . collect terms

  y = 5.95 . . . . . divide by 1.2

The value of x can be found from the first equation.

  10x + 12(5.95) = 138.90

  10x = 67.50 . . . . . . . . . . . subtract 71.40

  x = 6.75 . . . . divide by 10

Then the value of 3x+2y is ...

  3(6.75) +2(5.95) = 32.15

The original price of 3 loaves and 2 liters is R31.15.

Answer:

Maybe Plants products...

Answer:

carnation $2.50; rose $3.00

Step-by-step explanation:

Let c = price of 1 carnation.

Let r = price of 1 rose.

3c + 5r = 22.5

3c + 2r = 13.50

Subtract the se3cond equation from the first equation.

3r = 9

r = 3

Now substitute r = 3 in the first equation and solve for c.

3c + 5r = 22.5

3c + 5(3) = 22.5

3c = 7.5

c = 2.5

Answer: carnation $2.50; rose $3.00

Answer:

[tex](f-g)(2)=14[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=3x^2+1\text{ and } g(x)=1-x[/tex]

And we want to find the value of:

[tex](f-g)(2)[/tex]

This is equivalent to:

[tex](f-g)(2)=f(2)-g(2)[/tex]

Substitute:

[tex]=(3(2)^2+1)-(1-(2))[/tex]

Evaluate:

[tex]=(3(4)+1)-(1-2)=(12+1)-(-1)=13+1=14[/tex]

Therefore:

[tex](f-g)(2)=14[/tex]

Answer:

A

Step-by-step explanation: When you multiply a coordinate in the complex plane it doesn't just magically rotate. It works the exact same way a normal coordinate would. Therefore, the answer is A

When 2 + 3i is multiplied by 3, the result is 6 + 9i. Graphically, this shows that the product is a scalar of the complex number.

The correct answer is an option (A)

"It is number of the form [tex]x+iy[/tex] where the first part (x) is called real part and the second part ([tex]iy[/tex]) is called as imaginary part and [tex]i=\sqrt{-1}[/tex]"

"It is a combination of rational and irrational numbers, including positive and negative whole numbers, integers, decimals, fractions"

For given example,

The product of a complex number and a real number.

Let, [tex]u[/tex] be any real number and [tex]x+iy[/tex] be any complex number.

The product of 'u' and 'x + iy' is,

[tex]\Rightarrow u\times(x+iy)=(u\times x)+i(u\times y)\\\\\Rightarrow u(x+iy)=ux+i(uy)[/tex]

Let [tex]2+3i[/tex] be a complex number.

For [tex]u=4[/tex],

[tex]\Rightarrow 4\times(2+3i)=8+12i[/tex]

Let [tex]u=-2[/tex],

[tex]\Rightarrow -2\times(2+3i)=-4-6i[/tex]

We can observe that, the product is a scalar of the complex number.

Therefore, when 2+3i is multiplied by 3, the result is 6+9i. Graphically, this shows that the product is a scalar of the complex number.

The correct answer is an option (A)

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Answer:

Step-by-step explanation:

That means that its complement is 90 - 40 = 50 degrees. This also means that its supplement is 180 - 40 = 140 degrees. Therefore, a half of its supplement is 70 degrees and when added to the 50 degree complement the total is 120 degrees, just as the problem said it should be.

==========================================================

Explanation:

Let x be the unknown angle

Its supplement is 180-x, since it must add to x to get 180

The angle x is half of the supplement 180-x, meaning,

x = half of supplement of x

x = half of (180-x)

x = (1/2)*(180-x)

x = 0.5*(180-x)

x = 90 - 0.5x

x+0.5x = 90

1.5x = 90

x = 90/1.5

x = 60

The unknown angle is 60 degrees. It's supplement is 120 because 60+120 = 180, and we can see that 60 is half of 120. So that confirms we have the correct x value.

The last step is to find the complement of angle x. We subtract from 90 like so

90-x = 90 - 60 = 30 which is the final answer

As a check, we can see that 60+30 = 90 to show that we have complementary angles.

------------

Extra info:

It might be easy to mix up the terms "supplementary" and "complementary". What helps me remember is that "supplementary" and "straight angle" both start with S. This could be one way to remember that supplementary angles always add to 180.

Also, both "complementary" and "corner" both start with C, which may be one way to remember that complementary angles always add to 90.

Answer:

8-1/3=7 2/3+2/3=8 1/3

Step-by-step explanation:

Answer:

pulling a king out of a deck of cards

Step-by-step explanation:

A compound event is more than one thing happening

The only item listed that has only one thing happening is pulling a king out of a deck of cards, so that is the only one that is not a compound event

Answer:

It means that the investor is purchasing a piece of that company, called a share.

Step-by-step explanation:

Hope this helps

The solution is : 300 shares of Company X stock does the investor own.

A) 300 shares

B) 300 shares

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

Here, we have,

Explanation:

Let the total shares owned be 'S'

Data provided in the question:

Shares of Company X stock = 30% of S = 0.3S

Shares of Company Y stock = 1/7 of remaining stock

i.e 1/7 of (S - 0.3S) = 1/7 of 0.7S = 0.1S

Now,

A) The investor owns 100 shares of Company Y stock.

This mean

0.1S = 100

Therefore,

S = 1000 shares

Hence,

Shares of Company X stock = 0.3S = 0.3 × 1,000 = 300

B) The investor owns 200 more shares of Company X stock than of Company Y stock.

This means

0.3S = 200 + 0.1S

or

0.3S - 0.1S = 200

or

0.2S = 200

or

S = 1000 shares

Shares of Company X stock = 0.3S = 0.3 × 1,000 = 300.

The solution is : 300 shares of Company X stock does the investor own.

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Complete question:

Of the shares of stock owned by a certain investor, 30 percent are shares of Company X stock and 1/7 of the remaining shares are shares of Company Y stock. How many shares of Company X stock does the investor own?

A) The investor owns 100 shares of Company Y stock.

B) The investor owns 200 more shares of Company X stock than of Company Y stock.

Answer:

unlock code is 11

A= 27

B=16

C=1

(11)^1 = 11

Step-by-step explanation:

Answer:

1/36

Step-by-step explanation:

P(2 then 1) = 1/6 x 1/6 = 1/36

Answer:

S>1

Step-by-step explanation:

5s + 2 > 7

Subtract 2 from both sides

5s>5

Divide 5 from both sides

S>1

Solution of the inequality is s>1.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to one another.

Adding the same amount to each side, taking the same amount away from each side, multiplying or dividing each side by the same positive integer, and other operations can be used to solve the inequality.

The inequality sign must be reversed if either side is multiplied or divided by a negative number.

5s+2 > 7

Subtracting 2 on both side,

5s > 5

s>1

Therefore, the solution set of inequality is s>1.

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Answer:

here is your answer

Step-by-step explanation:

here is your answer

Answer: Graph B

=====================================================

Explanation:

Point A appears to be at (2.5, -1)

If we shift 6 units to the left, then we subtract 6 from the x coordinate. So the new x coordinate is now 2.5-6 = -3.5

If we shift 4 units up, then we add 4 to the y coordinate to go from -1 to -1+4 = 3

Overall, the point A(2.5, -1) moves to A'(-3.5, 3)

Graph B is the answer because of this. The other points B and C will follow the same pattern as point A does.

Answer:love

Step-by-step explanation:

Inequalities and Absolute Value Equations.

x > 3 and x < 5

Inequality Form:3<x<5

Interval Notation:

(3,5)

An inequality is a mathematical statement that compares algebraic expressions using greater than (>), less than (<), and other inequality symbols

The 5 inequality symbols are less than (<), greater than (>), less than or equal (≤), greater than or equal (≥), and the not equal symbol (≠).

Think about the example of the compound inequality: x < 5 and x ≥ −1. The graph of each individual inequality is shown in color. Since the word and joins the two inequalities, the solution is the overlap of the two solutions. This is where both of these statements are true at the same time.

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1 kg= 1000 tonnes

384 kg= 384×1000 tonnes = 384000 tonnes

Step-by-step explanation:

384kg = 0.384 tones!!!!!

Answer:

quads

Step-by-step explanation:

Answer:

0.125.

Step-by-step explanation:

To convert 1/8 to a decimal, divide the denominator into the numerator. 1 divided by 8 = 0.125.

isn't it .125?

yeah 1/8 is .125 as a decimal