Two cards are drawn from a pack of 52 cards one by one without replacement; that is, the first card is not replaced before the second card is drawn. What is the probability of the second card being a king of spades if the first card is a king of club

Answer:

The correct answer is:

ZNEG/∠NEG

Step-by-step explanation:

An exterior angle is one outside the triangle that is formed by extending two of the sides of the triangle. Angle NEG is formed by extending EG and EF; this makes it an exterior angle.

Answer:

The principal would like to assemble a committee

of 8 students from the 15-member student council.

How many different committees can be chosen?

1) 120 2) 6,435 3)

Step-by-step explanation:

The principal would like to assemble a committee

of 8 students from the 15-member student council.

How many different committees can be chosen?

1) 120 2) 6,435 3)

Answer:

Step-by-step explanation:

Remark

This problem only wants to know how many ways to select 7 starting from a base of 11.

Nothing else matters. Not grades, not gender, not age, not qualifications, not order -- nothing. Just 7 out of 11.

That problem is a combination and is written as

(11)/(7)

The formula used is

11! / (7! (11 - 7)! )

11! /( 7! 4!) = 11 * 10 * 9 * 8 * 7! / (7! * 4!) The 7! s cancel out

11 * 10 * 9 * 8 / 4 * 3 * 2 * 1 = 330

Complete question :

la distancia entre la tierra y la luna es de 384 392 km. Los astronautas de la Apolo XL salieron el 16 de julio de 1969 desde el Centro Espacial Kennedy y al alcanzaron la orbita el 19 de julio de 1969. Suponiendo que cada dia recorrieron la misma cantidad de kilometros cuantos kilometros recorrieron por dia

Responder:

128130,66 kilometros

Explicación paso a paso:

Dado que:

Distancia entre la tierra y la luna = 384,392 km

Tiempo empleado = (19 de julio - 16 de julio) mismo año = 3 días

Velocidad = distancia / tiempo

El tiempo empleado es (3 * 24) = 72 horas

Por lo tanto,

velocidad = 384,392 / 72

= 5338,7777 kilómetros por hora

Dado que se supone que la distancia recorrida diariamente es la misma m:

El número de kilómetros recorridos por día:

5338,7777 kilómetros por hora * 24

= 128130,66 kilometros

Answer:

y = 2/5x - 3

Step-by-step explanation:

First, we have to know what the slope is. Being perpendicular to -5/2, the slope becomes 2/5.

Then, you substitute the slope and given point into the equation to find the y-intercept.

y = 2/5x + b

(-5) = 2/5(-5) + b

(-5) = (-2) + b

b = -3

So, the equation is

y = 2/5x - 3

The equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5) is y = 2/5x - 3.

We have the Equation,

y= -5/2x + 1

Here, the slope is -5/2.

Since perpendicular line have negative reciprocal of the slope of the given line.

So, the slope of the line perpendicular is 2/5.

Using point-slope form of the equation to find the equation of the perpendicular line.

The point-slope form is given by:

y - y1 = m(x - x1)

Using the point (-5, -5) and the slope 2/5,

y - (-5) = 2/5(x - (-5))

y + 5 = 2/5(x + 5)

y + 5 = 2/5x + 2

y = 2/5x - 3

Therefore, the equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5) is y = 2/5x - 3.

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Answer:

look at graph

Answer:

1) a = 1 ; b = 5 ; c = 0

2) a = 1 ; b = 3 ; c = 10

3) a = -5 ; b = -7 ; c = 2

4) a = 1 ; b = 2 ; c = -9

5) a = -7 ; b = 6 ; c = -1

6) a = 4 ; b = -10 ; c = -7

Step-by-step explanation:

a , b & c are just coefficients of the equation

Answer: [tex]x^{2}[/tex] =5x=0  

Step-by-step explanation:

Answer:

129

Step-by-step explanation:

The sum of all angles in any quadrilateral is 360°

so, you can make the following equation:

71 + 48 + 112 + x = 360

231 + x = 360

Subtract 231 from both sides of the equation

231 + x - 231 = 360 - 231

x = 360 - 231

x = 129

Step-by-step explanation:

The given image is a trapezium. A trapezium is a quadilateral. Hence , it's sum of angles is 360°

To solve for x ;

[tex]71° + 48° + 112 ° + x° = 360° \\ 231 + x = 360 \\ x = 360 - 231 \\ x = 129[/tex]

Answer:

0

Step-by-step explanation:

2a+1=1

2a=0

---   ---

2     2

a=0

Answer:

A=0

Step-by-step explanation:

2a+1=1

2a=1-1 (i moved +1 to the other side ...coz our goal is to isolate "a",  and in order to do this, look for numbers that are freer)(moving the +1 to the other side made it -1)(you just need to remember that when we move any number to the other side it will claim its opposite operation so +1 will turn to -1)

2a=0  (1-1=0)

a=0/2 (now, 2 is being multiplied with a, and to isolate "a" we move 2 to the other side, and this will make to divide ((because the opposite of multiplication is division)) )

a=0 (the ans!)

The value of the number for the expression seven is less than the quotient of a number and five is two​ is 45.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a number is seven less than the quotient of a number and five is two​.

The value of the unknown number will be calculated as,

x/5 - 7 = 2

x/5 = 9

x = 45

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Answer:

8 mm

Step-by-step explanation:

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

Work Shown:

Plug in (x,y) = (3,0)

ax - 8y = 15

a(3) - 8y = 15 .... replace x with 3

3a - 8(0) = 15 ... replace y with 0

3a - 0 = 15

3a = 15

a = 15/3

a = 5

The equation updates to 3x - 8y = 15.

Answer:

4*1+5*1=9

Step-by-step explanation:

Hope this helps. :)

The volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.

To find the volume of the solid formed by rotating the region bounded by the curves y = x³/4, x = 0, y = 1 in the first quadrant about the y-axis, we can use the method of cylindrical shells.

The formula for the volume using cylindrical shells is:

[tex]\mathrm V = \int\limits^a_b {2\pi \mathrm x \times \mathrm f(x)} \, dx[/tex]

Where:

a and b are the limits of integration (in this case, a = 0 and b = 1 since we are rotating in the first quadrant).

f(x) is the height of the shell at the given x-value.

2πx is the circumference of the shell at the given x-value.

In this case, we need to express y = x³/4 in terms of x to find the function f(x).

Given: y = x³/4

To find the function in terms of x, solve for x:

[tex]x = (4y)^{(1/3)[/tex]

Now, the function f(x) becomes:

[tex]\mathrm f(x) = (4x)^{(1/3)[/tex]

Now, let's calculate the volume using the cylindrical shell method:

[tex]\mathrm V = \int\limits^1_0 {2\pi \mathrm x \times \mathrm 4x^{1/3}} \, dx[/tex]

[tex]\mathrm V = 2\pi \int\limits^1_0 { x^{4/3}} \, dx[/tex]

To integrate, add 1 to the exponent and divide by the new exponent:

[tex]\mathrm V = 2\pi \times (3/7) \times x^{(7/3)} |^0_1[/tex]

Now, evaluate the expression at the limits of integration:

[tex]\mathrm V = 2\pi \times (3/7) \times (1)^{(7/3)} - 2\pi \times (3/7) \times (0)^{(7/3)[/tex]

[tex]\mathrm V = 2\pi \times (3/7) - 0[/tex]

[tex]\mathrm V = 6\pi/7[/tex]

So, the volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.

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Answer: Hence, there are 6 phones and 18 accessories sold.

Since we have given that

Let number of phones sold be 'x'

Let number of accessories sold be 'y'.

Commission for every phone = $12

Commission for every accessory = $3.50

Total commission = $135

And Difference between accessories and phones sold = 12

According to question, we get that

Using both the equations, we get that

x=6 and y = 18

Answer:

the second one

Step-by-step explanation:

2(14-3)=22

Step-by-step explanation:

[tex]{{\boxed{\sf{\pink{Hello \: mate \: (◕ᴗ◕✿) }}}}} \\ \\ \mathfrak\red{Hope \: it \: helps \: you \: }[/tex]

Answer:

1.5 miles per hour.

Step-by-step explanation: Because is a turtle walks a mile in 40 minutes then half of that is 20 or half a mile which that 40 minutes plus 20 minutes is 60 minutes.

Answer: -11/20

Step-by-step explanation:

1/5-3/4= 4/20-15/20= -11/20

Answer:

The answer is -11/20 aka b

Step-by-step explanation:

Answer:constrictive intergers

Step-by-step explanation:

Answer:

[tex]140,141,142,143[/tex]

Step-by-step explanation:

[tex]Let \: x \: be \: the \: lowest \: number .\\ We \: have \: an \: equation:x + (x + 1) + (x + 2) + (x + 3) = 566 \\ \Leftrightarrow 4x + 6 = 566 \\ \Leftrightarrow 4x = 560 \\ \Leftrightarrow x = 140 \\ \Rightarrow 4 \: consecutive \: numbers:140,141,142,143[/tex]

Answer:

17,046.92 i think

Step-by-step explanation:

Answer:

Jennifer will need to save 35$ for 2 weeks.

Answer:

answerr is This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

1

2

gives the next term. In other words,

a

n

=

a

1

⋅

r

n

−

1

.

Geometric Sequence:

r

=

1

2

This is the form of a geometric sequence.

a

n

=

a

1

r

n

−

1

Substitute in the values of

a

1

=

200

and

r

=

1

2

.

a

n

=

(

200

)

⋅

(

1

2

)

n

−

1

Simplify the expression.

Tap for more steps...

a

n

=

200

⋅

1

2

n

−

1

Combine

200

and

1

2

n

−

1

.

a

n

=

200

2

n

−

1

The common ratio is 1/2.

Given that

The sequence 200, 100, 50, 25.

The common ratio is determined by dividing the second term by the first term.

[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}[/tex]

Here, the second term is 100 and the first term is 200.

Then,

The common ratio is;

[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{100}{200}[/tex]

[tex]\rm Common \ ratio = \dfrac{1}{2}[/tex]

The common ratio between third term 50 and second term 100 is;

[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{50}{100}\\\\\rm Common \ ratio = \dfrac{1}{2}[/tex]

Hence, the common ratio is 1/2.

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Answer:

Range: {6,0,-3}

Step-by-step explanation:

Answer:

1086

Step-by-step explanation:

BODMASS (Multiplication first, addition after)...

15×72= 1080

1080+6= 1086

hope it helps

Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.

PEMDAS:

1. Parentheses

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

That's the order of operations if you ever want to know what to do first.

Answer:

o

Step-by-step explanation:

o

Answer:

The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet

Step-by-step explanation:

Let t= length of the top shelf, m = length of middle shelf and b = length of bottom shelf.

Therefore:

t = m - 1/2; m = t  + 1/2

Also, b = 2t - 1/2

The total of the three shelves is 20 feet, therefore:

t + m + b = 20

Substituting:

t + t + 1/2 + 2t - 1/2 = 20

4t = 20

t = 20/4

t = 5 feet

m = t + 1/2 = 5 + 1/2 = 5.5 feet

b = 2t - 1/2 = 2(5) - 1/2 = 9.5 feet

The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet

Answer:

4x67€hus de tus nos cos