it said my answer is wrongTwo cards are selected from a standard deck of 52 cards. The first card is not replaced before the second card selected. Find the probability of selecting a two and then selectinga a king

Answer:

A

D

Step-by-step explanation:

(x,y)→(−y,x)

(-6,3)→(-3,-6)

(2,-3)→(-6,2)→(-3,1)

Answer:

the answer is five(5).

Answer:

g(x) is not the inverse of f(x)

Step-by-step explanation:

If f(x)=5x-25 and g(x) = 5x+5, which expression could be used to verify g(x) is the inverse of fx)

We need to show that f(g(x)) = g(f(x))

f(g(x)) = f(5x+5)

f(5x+5) = 5(5x+5) - 25

f(5x+5) =25x+25 - 25

f(5x+5) = 25x

f(g(x)) = 25x

Similarly;

g(f(x)) = g(5x-25)

g(5x-25) = 5(5x-25) + 5

g(5x-25) = 25x - 125 + 5

g(5x-25) = 25x - 120

This shows that g(x) is not the inverse of f(x)

6(3y+2) + 8(4y+3) + 6y =

Distribute:

18y + 12 + 32y + 24 + 6y =

Combine like terms:

56y + 36

Answer:

-85x (If "X" is a variable)

OR

-85 (If "X" is a multiplication symbol)

Step-by-step explanation:

Not sure if the "X" is a variable or a multiplication symbol

Therefore either of my answers are correct.

Answer:

1. 2x²+11x+15

A=(x + 3)(2x + 5)=2x(x+3)+5(x+3)=2x²+6x+5x+15=2x²+11x+15

In the rhombus PQRS, if angle ∠ SPQ = 120° then ∠SPO is 30°

∠POS is 90° and ∠PSO is 60 degrees, ∠PO is 90° and ∠SO  is 150°

PQRS is a rhombus.

∠ SPQ = 120° and SP = 8.

We have to find angles,∠SPO = (180° - ∠SPQ) / 2

= (180° - 120°) / 2

= 30°

∠POS = 90°

Now we have to find angle PSO

∠PSO+∠SPO+∠POS =180

30+90+∠PSO=180

120+∠PSO=180

∠PSO=180-120

∠PSO=60 degrees

∠PO = 360° / 4 = 90°

∠SO = 180° - ∠POS = 180° - 30°

= 150°

The area we find by using formula diagonal 1 × diagonal 2/2

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The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² =  (a + ib)²(a - ib)²

From the question, we have the following parameters that can be used in our computation:

✓(x + iy) = a + ib

Changing the signs, we have

✓(x - iy) = a - ib

Multiply both expressions

This gives

✓(x + iy) * ✓(x - iy) =  (a + ib)(a - ib)

Square both sides

So, we have

(x + iy) * (x - iy) =  (a + ib)²(a - ib)²

This gives

x² + y² =  (a + ib)²(a - ib)²

Hence, the values of ✓(x - iy) is a - ib and x² + y² is  (a + ib)²(a - ib)²

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Answer:

The first bottle holds 25 3/5 ounces of water.

Step-by-step explanation:

16 x 8/5

= 16/1 x 8/5

= 128/5

= 25 3/5

Answer:

10 ounces

Step-by-step explanation:

16=8/5

z=1

16*1=16

8/5*z=8/5z

16=8/5z

16/1.6z=10

z=10

\(2x+17.\)

• Before we start: The way we're going to show an expression equivalent to the given one is by fully simplifying said expression.

\(5 (x + \frac{4}{5} ) - \frac{1}{4} (12x - 52)\)

Check attached image 1 to see the process that we're applying in this step.

\((5)(x)+(5)(\frac{4}{5} )\\ \\((\frac{1}{4} )(12x)+(\frac{1}{4} )(-52))\\ \\5x+4-(3x+(-13))\\ \\5x+4-(3x-13)\\ \\5x+4-3x+13\)

\(5x-3x+4+13\\\\2x+17\)

\(2x+17.\)

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

Solving equations is a process that involves a lot of expression simplifying. Therefore, I suggest to check out some of these exercises to learn about the simplifications used when solving equations:

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Answer:

1.3/20   2.4/20 or 1/5   3.9/27 or 1/3

Step-by-step explanation:

I hope this helped!

The area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)

To find the area of each rhombus, we can use the formula for the area of a rhombus:

Area = (diagonal1 × diagonal2) / 2

Given that the diagonals of the rhombus-shaped pieces are 3.5 centimeters and 5 centimeters, we can substitute these values into the formula:

Area = (3.5 cm × 5 cm) / 2

Area = 17.5 \(cm^2\) / 2

Area = 8.75 \(cm^2\)

Therefore, the area of each rhombus is 8.75 \(cm^2\). The correct option is 8.75 \(cm^2.\)

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Answer:

Glow bowling costs $0.75 more per game.

Step-by-step explanation:

\(friday \: night \\ \frac{5 \: games}{22.50 \: dollars} = \frac{1 \: game}{x} \\ \\ \frac{22.50}{5} = \frac{5x}{5} \\ \\ x = 4.5\)

\(saturday \: morning \\ \frac{8 \: games}{30 \: dollars} = \frac{1 \: game}{x} \\ \\ \frac{30}{8} = \frac{8x}{8} \\ \\ 3.75 = x\)

Then we just subtract: \(4.5 - 3.75 = 0.75\)

Answer:

x ≈ 30,37

y ≈ 29,00

Step-by-step explanation:

Use trigonometry:

\( \sin(38°) = \frac{9}{x} \)

Now, use the property of the proportion to find x:

\(x = \frac{9}{ \sin(38°) } ≈30.37\)

Do the same thing to find y:

\( \tan(38°) = \frac{9}{y} \)

\(y = \frac{9}{ \tan(38°) } ≈29.00\)

Answer:

861 : 615

Step-by-step explanation:

7 + 5 = 12

246 ÷ 12 = 123

7 × 123 = 861

5 × 123 = 615

861 -65 = 246

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

The value of x in the given quadrilateral is; x = 3

The diagonals of a parallelogram bisect each other.

Thus, from the image attached, we can say that;

WC = CY.

Thus;

2x + 5 = 3x + 2

Subtract 2x from each side to get;

5 = x + 2

Subtract 2 from each side to get;

5 - 2 = x + 2 - 2

x = 3

The complete question is;

In quadrilateral WXYZ, WC = 2x + 5 and CY = 3x + 2. What must x equal for quadrilateral WXYZ to be a parallelogram?

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The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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Step-by-step explanation:

given

\( \frac{7056}{x} = 42 \\ \\ 42x = 7056 \\ x = \frac{7056}{42} \\ = 168\)

also given

\( \frac{y}{112} = 8 \\ y = 8(112) \\ = 896\)

therefore

\( \frac{x}{y} = \frac{168}{896} \\ = \frac{3}{16} \)

Answer:

7:11

Step-by-step explanation:

No of linemen = 7

No of running backs = 2

No of fullback = 1

No of quarterback =1

The total no of players on the team = 7+2+1+1 = 11

We need to find the ratio of the number of linemen to the total number of players on the team.

R = 7/11

or

R = 7:11

Hence, the required ratio is 7:11.

Answer:

y = [ 4 ]

Step-by-step explanation:

5y - 10 = 10

     +10  +10

5y = 20

/5     /5

y = 4

hope this helps ! ^^

Answer:

\(5y-10=10\)

\(Add ~10\)

\(5y=10+10\)

\(5y=20\)

\(divide ~by ~5\)

\(y=4\)

\(ANSWER: y=4\)

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

HOPE IT HELPS

HAVE A GREAT DAY!!

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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The whole number that can be substituted for z is 1.

To order these numbers from least to greatest, we need to first find a value for x that makes the expressions comparable.

1/x can be rewritten as 0.01/x

80% can be written as 0.8

So, the list becomes:

0.01/x, x/3, 0.8

To compare 0.01/x and x/3, we can cross-multiply and simplify:

0.01/x < x/3

0.01*3 < x^2

0.03 < x^2

x > sqrt(0.03)

Since x has to be a whole number, the smallest possible value for x is 1.

So, substituting x = 1, the list becomes:

0.01, 1/3, 0.8

Ordering these from least to greatest, we get:

0.01, 0.8, 1/3

Therefore, the whole number that can be substituted for z is 1.

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The 98% confidence interval for the mean amount of money spent per month on home maintenance by all homeowners is (62.49,69.51). So, the Lower and Upper end point are 62.49, 69.51 respectively.

We have a survey of 53 randomly selected homeowners. So,

Sample size, n = 53

Mean spend of home maintenance, μ

= $66 per month

Standard deviations, σ = $ 11 per month

We have to determine the Lower and Upper end point or bound of confidence interval. First we calculate the Z score for 98% of confidence interval. The level of significance, α = 0.02 and α/2 = 0.01, so using distribution table \(z_{ \frac{\alpha}{2}} = 2.326\)

Now, Margin of error , \(MOE = z_{\frac{\alpha}{2}} ( \frac{\sigma }{\sqrt{}n}) \)

\( = 2.326 ( \frac{11}{ \sqrt{}53 })\)

=> E = 3.51

At 98% confidence interval estimate of the population mean is, \(\bar x - E < \mu < \bar x + E\)

\(66 - 3.51 < \mu < 66 + 3.51\)

=> 62.49 < μ < 69.51

Therefore, Lower end point or bound

= 62.49 and Upper end point or bound

= 69.51.

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The equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

According to the question,

We have the following information:

Slope of the line = 1/3

We know that the slope of the line is denoted by m.

y-intercept of the line = -1

We know that the y-intercept is denoted by b.

We have the following equation for the line in slope-intercept form:

y = mx+b

Putting the above values in this equation:

y = x/3-1

Hence, the equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

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Answer:

-4 + 18.5202592 i

Step-by-step explanation:

-4 + 18.5202592 i

there you go