List and count all the outcomes for event E, in which the product of the two numbers rolled is odd.

Answer:

4.5 feet

Step-by-step explanation:

To find the width of Mrs. Jones' garden, we can use the formula for the area of a rectangle:

Area = length x width

We are given the area of the garden as 63 square feet and the length as 14 feet. Plugging these values into the formula, we get:

63 = 14 x width

To solve for the width, we can divide both sides by 14:

width = 63/14

Simplifying this expression, we get:

width = 4.5 feet

Therefore, the width of Mrs. Jones' garden is 4.5 feet.

Answer:

3.2 brainliets

Step-by-step explanation:

Answer:

f(x) = -½ x - 5x (the 3rd option)

Step-by-step explanation:

f(4)= -½(4) - 5(4)

= -2 - 20

= -22

Answer:

(11+w)/4

Step-by-step explanation:

Let the first term be 3 miles

If he plans to increase the distance of his run by 1/4 mile, then

common difference = 1/4

To get the distance Kane runs in a training session after w weeks , we will use the nth term of an AP

Tw = a+(w-1)d

Tw = 3 + (w-1)(1/4)

Tw = 3 + 1/4 w - 1/4

Tw = 11/4 + 1/4 w

Tw = (11+w)/4

Hence the distance Kane runs in a training session after w weeks is (11+w)/4 weeks

Answer: y=8

Step-by-step explanation:

Since DF is bisected, it means but in half. This means DU and UF are equal in length. We can set them equal to each other to find y.

2y=16          [divide both sides by 2]

y=8

Answer:

y=8

Step-by-step explanation:

when a triangle is bisected opposite sides become equal

Both sides are the same

2y=16 divide both sides by 2

y=8

Given that C3 = C2C1, we can use the quaternion multiplication formula to relate the quaternions of C1, C2, and C3.

(μ3, ∈3) = (μ2η1 + μ1η2 + ρ2σ1 - ρ1σ2)i+  (μ2ρ1 - μ1ρ2 + η2σ1 + η1σ2)j + (μ2σ1 + μ1σ2 - η2ρ1 + η1ρ2)k

Let q1, q2, and q3 be the quaternions corresponding to C1, C2, and C3, respectively.

Then we have:

q3 = q2q1

Expanding this using the quaternion multiplication formula, we get:

q3 = (μ2 + η2i + ρ2j + σ2k)(μ1 + η1i + ρ1j + σ1k)

= μ2μ1 - η2η1 - ρ2ρ1 - σ2σ1+ (μ2η1 + μ1η2 + ρ2σ1 - ρ1σ2)i + (μ2ρ1 - μ1ρ2 + η2σ1 + η1σ2)j + (μ2σ1 + μ1σ2 - η2ρ1 + η1ρ2)k

where μ1, η1, ρ1, and σ1 are the scalar and imaginary parts of the quaternion corresponding to C1, and similarly for C2 and C3.

Comparing this with the quaternion representation of C3, which is (μ3, ∈3), we can see that:

μ3 = μ2μ1 - η2η1 - ρ2ρ1 - σ2σ1

and

(μ3, ∈3) = (μ2η1 + μ1η2 + ρ2σ1 - ρ1σ2)i + (μ2ρ1 - μ1ρ2 + η2σ1 + η1σ2)j + (μ2σ1 + μ1σ2 - η2ρ1 + η1ρ2)k

So we have:

∈3 = η2η1 + ρ2ρ1 + σ2σ1 + μ2η1 - μ1η2 - ρ2σ1 + ρ1σ2 + μ2ρ1 + μ1ρ2 - η2σ1 - η1σ2 - μ2σ1 - μ1σ2 + η2ρ1 - η1ρ2

Therefore, we can express (μ3, ∈3) in terms of (μ2,∈2) and (μ1,∈1) as shown above. Note that the quaternion multiplication formula involves both scalar and vector quantities, so the calculation can be a bit involved. However, the steps are straightforward and can be carried out using standard algebraic techniques.

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Answer:

I think so its neither

Step-by-step explanation:

I dont know

To find JL

We will first find the value of x

JK = KL

2(x+6) = 3x + 8

2x + 12 = 3x+ 8

subtract 2x from both-side of the equation

12 = 3x-2x + 8

12 = x+ 8

subtract 8 from both-side of the equation

12 - 8 = x+ 8 - 8

4 = x

x=4

JK = 2(x+ 6)

substitute x = 4 into the above

JK = 2(4+6)

JK=2(10)

JK=20

KL =3x+8

substitute x=4 into the above

KL = 3(4) + 8

KL = 12 + 8

KL=20

JL = JK + KL

= 20 + 20

= 40

JL = 40 units

Answer:

I don't know but if it feels like you shouldn't be doing it then don't

Step-by-step explanation:

Answer:

You won't get in huge trouble but it probably wouldn't be the smartest thing to have them. if you think you can play good with them then you are fine! you should double check with the coach, because every school or team has different rules!

Answer:

D

Step-by-step explanation:

D is the only one with 1.5 as a y-intercept.

~theLocoCoco

Answer:

Answer is D

Step-by-step explanation:

0x means that the x axis did move. the y intercept is 1.5. if no number appears infront of y or x just know that the 1 is always infront of y or x even if you don't see it.

Answer:

9

Step-by-step explanation:

A composite number is a positive integer. which is not prime.  The first few composite numbers (sometimes called "composites" for short) are 4, 6, 8, 9, 10, 12, 14, 15, 16, ...

Answer:

Inequality 1:  y ≤ 5x + 1           Inequality 2:  y > x -2

Explanation:

the first line is intersecting the y-axis at 1

coordinates = ( 0 , 1 ) , ( -1 , -4 )

slope of the first line = (y2-y1)/(x2-x1)

                                   = (-4-1 )/(-1-0)

                                   = -5/-1

                                   = 5

so equation: y = mx + b ....where m is the slope and b is y-intercept.

                 → y ≤ 5x + 1   .........as equals to and greater than

the second line is intersecting the y axis at -2

coordinates = ( 2 , 0 ) , ( 0 , -2 )

slope of second line =  (y2-y1)/(x2-x1)

                                   = (-2-0)/(0-2)

                                   = 1

so equation: y = mx + b ....where m is the slope and b is y-intercept.

                  → y > x -2 ..........as dotted represents not equals to.

You can determine if the inverse of a polynomial function is a function by using the Horizontal Line Test on the inverse.

The Horizontal Line Test is a graphical method that can be used to determine whether a given function is one-to-one, meaning that for each output value, there is at most one input value that maps to it.

If the inverse of a polynomial function is a function, it must pass the Horizontal Line Test, meaning that no horizontal line intersects the graph of the inverse more than once.

In other words, if the inverse of a polynomial function passes the Horizontal Line Test, it is guaranteed to have an inverse, which will be a function itself. If the Horizontal Line Test fails, then the inverse is not a function and does not have an inverse.

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To calculate the molecular weight of a gas with a density of 1.524 g/l at STP, we can use the ideal gas law: PV = nRT. At STP, the pressure (P) is 1 atm, the volume (V) is 22.4 L/mol, and the temperature (T) is 273 K. The molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

Rearranging the equation, we get n = PV/RT.

Next, we can calculate the number of moles (n) of the gas using the given density of 1.524 g/l. We know that 1 mole of any gas at STP occupies 22.4 L, so the density can be converted to mass by multiplying by the molar mass (M) and dividing by the volume: density = (M*n)/V. Rearranging the equation, we get M = (density * V) / n.

Substituting the given values, we get n = (1 atm * 22.4 L/mol) / (0.0821 L*atm/mol*K * 273 K) = 1 mol. Then, M = (1.524 g/L * 22.4 L/mol) / 1 mol = 34.10 g/mol. Therefore, the molecular weight of the gas is 34.10 g/mol.

To calculate the molecular weight of a gas with a density of 1.524 g/L at STP, you can follow these steps:

1. Recall the ideal gas equation: PV = nRT

2. At STP (Standard Temperature and Pressure), the temperature (T) is 273.15 K and the pressure (P) is 1 atm (101.325 kPa).

3. Convert the density (given as 1.524 g/L) to mass per volume (m/V) by dividing it by the molar volume at STP (22.4 L/mol). This will give you the number of moles (n) per volume (V):

  n/V = (1.524 g/L) / (22.4 L/mol)

4. Calculate the molar mass (M) of the gas using the rearranged ideal gas equation, where R is the gas constant (8.314 J/mol K):

  M = (n/V) * (RT/P)

5. Substitute the values and solve for M:

  M = (1.524 g/L / 22.4 L/mol) * ((8.314 J/mol K * 273.15 K) / 101325 Pa)

6. Calculate the molecular weight of the gas:

  M ≈ 32.0 g/mol

Therefore, the molecular weight of the gas with a density of 1.524 g/L at STP is approximately 32.0 g/mol.

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The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).

Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3

The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

Given:

f(x) = 4x² + 1 and g(x) = x² - 3

a) (f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

substitute the value of g(x) in the above equation, and we get

    = 4(x⁴ - 24x + 9) + 1

simplifying the above equation

    = 4x⁴ - 96x + 36 + 1

    = 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

      = 16x⁴ + 8x² + 1 - 3

simplifying the above equation

      = 16x⁴ + 8x² - 2

(g o f)(x) = 16x⁴ + 8x² - 2.

Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

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The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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The probability that we reject 0 when it is true is equal to the chosen significance level (α).

The probability that we reject 0 when, in fact, 0 is true is known as the Type I error rate, or the false positive rate. In hypothesis testing, this probability is represented by the significance level, which is denoted by the Greek letter alpha (α). The significance level is a predetermined threshold, typically set at 0.05 or 5%. If the calculated p-value is less than the significance level (α), we reject the null hypothesis (0) even if it is true. So, the probability that we reject 0 when it is true is equal to the chosen significance level (α).

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The ratios of win to lose are 13 : 8, 13/8 and 1.625%

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

Win = 50 more than lose

Win = 130

This means that

Win = 50 + Lose

So, we have

50 + Lose = 130

Evaluate

Lose = 80

The ratio is then represented as

Ratio = win to lose

This gives

Ratio = 130 : 80

So, we have

Ratio = 13 : 8

Express as fraction

Ratio = 13/8

Lastly, we have

Ratio = 1.625%

Hence, the ratio is 1.625%

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Answer: 26.6 repeating number or 26 2/3

Step-by-step explanation:

Answer:

.33333333...   45/100

Step-by-step explanation:

1/3 as a reoccurring decimal would be 0.3333333......

.45 as a fraction is simply 45/100

give brainiest please!

hope this helps :)

The limiting values of the function \(f(x)=\sqrt{4 x^{2}+x}-2 x\) are x = 0 and x = -1/4

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

\(f(x)=\sqrt{4 x^{2}+x}-2 x\)

Set the radicand to 0

So, we have

4x² + x = 0

Factor out x in the equation

x(4x + 1) = 0

Solving for x, we have

x = 0 and x = -1/4

This means that the limiting values are x = 0 and x = -1/4

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Answer:

9 3/5

Step-by-step explanation:

96/10 = 48/5

Answer:

A: Function f.

Step-by-step explanation:

Let's find the maximum y-value of each function.

Function f  is given by:

\(f(x)=3\cos(2x)+4\)

Remember that the value of cosine is always between -1 and 1. In other words:

\(-1\leq \cos(x)\leq 1\)

Then assuming the greatest value for cosine, we can substitute it for one:

\(f(x)_{\text{max}}=3(1)+4=7\)

Function g is given by the graph.

Looking at the graph, we can see that the maximum y-value of g is 3.

Finally, function h is given by the table.

Looking at the table, the maximum y-value of h is -2.

Therefore, function f has the greatest maximum y-value.

Answer:

25 x

Step-by-step explanation:

Step-by-step explanation:

13) 4x-22+x+11+10x-4 =180

15x=195

x=13

<P=(10(13)-4)=126

<Q=(4(13)-22)=30

<R=13+11=24

Answer:

Commission rate = 15%

Step-by-step explanation:

Given that:

Amount of merchandise sold = $2700

Commission earned = $405

We can find the commission rate by dividing the commission with total sales and multiplying it with 100.

Commission rate = \(\frac{Commission}{Total\ sales}*100\)

Commission rate = \(\frac{405}{2700}*100\)

Commission rate = 0.15 * 100

Commission rate = 15%

Hence,

Commission rate = 15%

AB = BC

Area of shaded part = Area of the square - the area of the circle

Area of shaded part = 37.68- 12 =25.68 square inche