given g(x)=-3x-4 what is the x value when g(x)=2

The answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

In this scenario, P(Z ≤ b) represents the cumulative probability of a standard normal distribution up to the value of b. To find the corresponding value of b, we need to find the z-score that corresponds to a cumulative probability of 0.0311.

By looking up the z-table or using a statistical calculator, we can find that the z-score corresponding to a cumulative probability of 0.0311 is approximately -1.865.

Therefore, the answer is option d. -1.865, as it is the value that satisfies P(Z ≤ b) = 0.0311. The other options (-1.87, -1.86, -1.8) do not correspond to the given cumulative probability.

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Pie charts are most effective with ten or fewer slices because they become visually cluttered and difficult to interpret when there are too many slices.

The purpose of a pie chart is to represent the proportional distribution of different categories or segments within a whole.

With fewer slices, it is easier for viewers to compare the sizes of the segments and understand the relative proportions they represent.

When there are too many slices, the chart can become overcrowded, making it challenging to differentiate between the slices and accurately perceive their proportions.

To maintain clarity and effectiveness, it is generally recommended to limit the number of slices in a pie chart to ten or fewer.

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Answer:

45 times

Step-by-step explanation:

There are nine pink sections and 11 sections total. The probability of landing on a pink section is 9/11.

Multiply the probability by 55

\(\frac{9}{11}\) × \(\frac{55}{1}\)

Cancel the 11 and 55. The 11 becomes a 1 and 55 becomes a 5

\(\frac{9}{ 1}\) × \(\frac{5}{1}\)

45

At the ignition temperature, the reaction rate is extremely fast at  T₁ = 1424.7 K.

The reaction at Ti is 16.44 times faster than the reaction at To.

According to the Arrhenius equation, the reaction rate is proportional to the exponential of the negative activation energy (Ea) divided by the product of the gas constant (R) and the temperature (T).

The equation can be expressed as follows:

k = A exp (-Ea / RT)

Where k is the rate constant, A is the frequency factor, Ea is the activation energy of the reaction, R is the gas constant, and T is the absolute temperature (in Kelvin).

A fuel-oxidizer mixture at a given temperature To = 550 K ignites.

The overall activation energy of the reaction is 240 kJ/mol.

Therefore, using the Arrhenius equation, we can determine the true ignition temperature (T₁) as follows:

ln (k₁ / k₂) = (Ea / R) (1 / T₂ - 1 / T₁)

where k₁ and k₂ are the reaction rate constants at temperatures T₁ and T₂, respectively.

The temperature coefficient n = 0, meaning that the frequency factor is constant.

As a result, the equation simplifies to:

ln (k₁ / k₂) = (-Ea / R) (1 / T₂ - 1 / T₁)

At the ignition temperature, the reaction rate is extremely fast.

Therefore, we can assume that

k₁ >> k₂ and T₂ ≈ To.

Substituting the given values into the equation:

ln (k₁ / k₂) = (-240 × 10³ J/mol / 8.314 J/mol·K) (1 / 550 K - 1 / T₁)

ln (k₁ / k₂) = -30327 / T₁ + 10.65

ln (k₁ / k₂) = 10.65

(because k₁ >> k₂)

Therefore,

-30327 / T₁ + 10.65 = 10.65

T₁ = 30327 / 21.3

T₁ = 1424.7 K

The difference in reaction rate between two temperatures can be determined using the ratio of the two rates:

r = k₁ / k₂

r = exp ((-Ea / R) ((1 / T₂) - (1 / T₁)))

r = exp ((-240 × 10³ J/mol / 8.314 J/mol·K) ((1 / 550 K) - (1 / 1424.7 K)))

r = exp (2.80)

r = 16.44

The reaction at Ti is 16.44 times faster than the reaction at To.

The larger the activation energy, the greater the difference between Ti and To will be. If the activation energy is very large, the reaction rate will be extremely sensitive to temperature changes.

As a result, a small increase in temperature may result in a significant increase in reaction rate.

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The length of the shorter diagonal is 5.241 units and the length of the longer diagonal is 14.371 units

An equation is an expression that shows the relationship between two or more numbers and variables.

Let p and q represent the length of the diagonals.

Hence:

\(p=\sqrt{9^2+6^2+2(9)(6)cos(34)}=14.371\ units\\\\q=\sqrt{9^2+6^2-2(9)(6)cos(34)}=5.241\ units\)

The length of the shorter diagonal is 5.241 units and the length of the longer diagonal is 14.371 units

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Answer:

I'm pretty sure Its D i think-

Step-by-step explanation:

It is a type of passive transport.

It's either that or it is B

But if I were you I'd go with A

Answer: 37.5%

Step-by-step explanation:

There are 8 separate area

and among them are 3 Cs.

Thus the probability is

⅜ times 100 = 37.5 (%)

The objective function for this situation is given by x > 0, y > 0, 6x + 4y ≤ 720, 2x + 4y ≤ 400, x + y ≥ 80 and P = 0.4x + 0.5y

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of cappuccino bottles and y represent the number of café au lait bottles.

Hence:

x > 0, y > 0

Also:

6x + 4y ≤ 720

2x + 4y ≤ 400

x + y ≥ 80

and

P = 0.4x + 0.5y

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Answer:

im pretty sure b

Step-by-step explanation:

because i took a test

The value of the given inequality mode function |2x + 4| ≥ 5 will be x  ≥ 1/2 and x ≤ -4.5.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given mode function,

|2x + 4| ≥ 5

For 2x + 4 > 0 or x > -2

2x + 4  ≥ 5

2x  ≥ 1

x  ≥ 1/2

For 2x + 4 < 0 or x < -2

-(2x + 4) ≥ 5

2x + 4 ≤ -5

2x ≤ -9

x ≤ -9/2

x ≤ -4.5

Hence "The value of the given inequality mode function |2x + 4| ≥ 5 will be x  ≥ 1/2 and x ≤ -4.5".

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Answer:

Leg opposite the y° is \(3\sqrt{39}\), the leg opposite the x° is 7, and the hypotenuse is 20.

Step-by-step explanation:

Through SOHCAHTOA:

\(cos y =\frac{adjacent}{hypotenuse} =\frac{3\sqrt{39}}{20}\)

\(tan x =\frac{opposite}{adjacent} =\frac{3\sqrt{39}}{7}\)

Answer:

Step-by-step explanation:

4.40/8= 0.55 a piece

0.55*19= $10.45

Answer:

x>10-7

x>3

Step-by-step explanation:

The two sets of three consecutive integers that meet the criteria, after the calculations are (-1, 0, 1) and (4, 5, 6).

To find three consecutive integers such that four times the sum of all three is two times the product of the larger two, follow these steps:

1. Let the three consecutive integers be x, x+1, and x+2.
2. According to the problem, 4 times the sum of these integers is equal to 2 times the product of the larger two. So, we can write the equation: 4(x + (x+1) + (x+2)) = 2((x+1)(x+2)).
3. Simplify the equation: 4(3x + 3) = 2(x^2 + 3x + 2).
4. Expand the equation: 12x + 12 = 2x^2 + 6x + 4.
5. Move all terms to one side of the equation to form a quadratic equation: 2x^2 - 6x - 8 = 0.
6. Factor the equation: 2(x^2 - 3x - 4) = 0.
7. Solve the quadratic equation: (x-4)(x+1) = 0.
8. Find the integer solutions: x = 4 or x = -1.

So, the two sets of three consecutive integers that meet the criteria are (-1, 0, 1) and (4, 5, 6).

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So, the gradient vector field of f is (∇f) = (cos(5y/z), -5x sin(5y/z)/z, 5xy sin(5y/z)/z^2).

To find the gradient vector field of the function f(x, y, z) = x cos(5y/z), we need to calculate the partial derivatives with respect to each variable and combine them into a vector.

The gradient vector is defined as:

∇f = (∂f/∂x, ∂f/∂y, ∂f/∂z)

Taking the partial derivatives of f(x, y, z) with respect to each variable:

∂f/∂x = cos(5y/z)

∂f/∂y = -5x sin(5y/z)/z

∂f/∂z = 5xy sin(5y/z)/z^2

Putting these partial derivatives together, we have:

∇f = (cos(5y/z), -5x sin(5y/z)/z, 5xy sin(5y/z)/z^2)

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A recent sale of a 1500 square foot, two bedroom, one and a half bathtub home in the Phoenix region went for $290,000. The model under-predicted the home's price by $3,208.36.

To calculate the residual/error from the model, first, we need to use the given regression equation to predict the price of the home:

Priceˆ = 97,348.27 + 112.12Sqft + 7,589.20Bedrooms + 4,056.98Bathrooms

Insert the home's values into the equation:

Priceˆ = 97,348.27 + 112.12(1500) + 7,589.20(2) + 4,056.98(1.5)

Priceˆ = 97,348.27 + 168,180 + 15,178.40 + 6,085.47

Priceˆ = 286,791.64

Now, subtract the predicted price from the actual sales price to find the residual/error:

Residual/Error = Actual Price - Predicted Price

Residual/Error = $290,000 - $286,791.64

Residual/Error = $3,208.36

The model under-predicted the home's price by $3,208.36 (rounded to two decimals).

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The algebraic expression for the word phrase is 12 + z/4

The word phrase is given as:

twelve more than the quotient of a number z and 4

The quotient of a number z and 4 is represented as:

z/4

So, we have:

twelve more than z/4

twelve more means 12 +

So, we have:

12 + z/4

Hence, the algebraic expression for the word phrase is 12 + z/4

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Hope this helps!

Also can I please have Brainliest?

Only if I'm right of course...

The correct answer is (B) $1,715.according to the given question.

What is straight line method ?

The straight-line method is a common method of calculating depreciation expense for an asset over its useful life. This method assumes that the asset will lose an equal amount of its value each year over its useful life, and therefore the depreciation expense for each year is the same.

To calculate the depreciation expense using the straight-line method, you need to know the cost of the asset, its estimated useful life, and its estimated salvage value (the amount it's expected to be worth at the end of its useful life).

The formula for depreciation expense using the straight-line method is:

Depreciation expense = (Cost of asset - Salvage value) / Useful life

For example, if a company purchases a machine for $10,000, expects it to have a useful life of 5 years, and has an estimated salvage value of $2,000, the depreciation expense using the straight-line method would be:

Depreciation expense = ($10,000 - $2,000) / 5 = $1,600 per year

Using this method, the book value of the asset at the end of each year can be calculated by subtracting the total accumulated depreciation from the cost of the asset.

The straight-line method of depreciation assumes that the asset loses an equal amount of its value each year over its useful life. Therefore, we can determine the book value at the end of the third year by subtracting the total accumulated depreciation for three years from the original cost of the asset.

Total accumulated depreciation after 3 years:

3 x $595 = $1,785

Book value at the end of the third year:

$3,500 - $1,785 = $1,715

Therefore, the correct answer is (B) $1,715.

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The events A and B are not mutually exclusive; not mutually exclusive (option b).

Explanation:

1st Part: Two events are mutually exclusive if they cannot occur at the same time. In contrast, events are not mutually exclusive if they can occur simultaneously.

2nd Part:

Event A consists of rolling a sum of 8 or rolling a sum that is an even number with a pair of six-sided dice. There are multiple outcomes that satisfy this event, such as (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2). Notice that (4, 4) is an outcome that satisfies both conditions, as it represents rolling a sum of 8 and rolling a sum that is an even number. Therefore, Event A allows for the possibility of outcomes that satisfy both conditions simultaneously.

Event B involves drawing a 3 or drawing an even card from a standard deck of 52 playing cards. There are multiple outcomes that satisfy this event as well. For example, drawing the 3 of hearts satisfies the first condition, while drawing any of the even-numbered cards (2, 4, 6, 8, 10, Jack, Queen, King) satisfies the second condition. It is possible to draw a card that satisfies both conditions, such as the 2 of hearts. Therefore, Event B also allows for the possibility of outcomes that satisfy both conditions simultaneously.

Since both Event A and Event B have outcomes that can satisfy both conditions simultaneously, they are not mutually exclusive. Additionally, since they both have outcomes that satisfy their respective conditions individually, they are also not mutually exclusive in that regard. Therefore, the correct answer is option b: not mutually exclusive; not mutually exclusive.

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Answer:

B

Step-by-step explanation:

Answer: Angle x = 77 degrees

B. Alternate Angles

Step-by-step explanation:

Answer:

\(x=\sqrt{13}\)

Step-by-step explanation:

Base of the isosceles triangle = 4

Perpendicular of the triangle = 3

In an isosceles triangle , a perpendicular bisects a base equally. So, here the isosceles triangle consist of 2 right angled triangles.

In that right angled triangles,

Base = 4/2 = 2 (∵ A perpendicular divides a base into 2 equal parts. )

Perpendicular = 3

Hypotenuse = x

So , according to Pythagorean Theorem ,

\(Hypotenuse = \sqrt{Base^2 + Perpendicular^2}\)

Using all the values above into the formula gives :-

\(x =\sqrt{2^2 + 3^2} = \sqrt{4+9} =\sqrt{13}\)

The following parts can be answered by the concept of Converges.

A. For the series Σ(7n² + √n - 2) from n=2 to infinity, we compare it to the series Σ(7n²) which diverges since it's a polynomial with a positive degree. Therefore, the original series also diverges.

B. For the series Σ(1/(7n-3)) from n=1 to infinity, we compare it to the series Σ(1/n) which is a harmonic series and diverges. Since 1/(7n-3) ≥ 1/(7n), the original series also diverges.

C. For the series Σ(1/(n^(3/2) × ln²(n))) from n=3 to infinity, we compare it to the series Σ(1/(n^(3/2))). The p-series with p = 3/2 converges (p > 1). Since ln²(n) grows slower than n^(3/2), the original series converges.

D. For the series Σ(sin²(n)/(n² + 5)) from n=1 to infinity, we compare it to the series Σ(1/n²). The p-series with p = 2 converges (p > 1). Since 0 ≤ sin²(n) ≤ 1, the original series converges by direct comparison test.

E. For the series Σ(cos(1/n) / √n) from n=1 to infinity, we compare it to the series Σ(1/√n). The p-series with p = 1/2 diverges (p ≤ 1). Since -1 ≤ cos(1/n) ≤ 1, the original series also diverges by direct comparison test.

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Abdiel's total will be $23.65.

To find Abdiel's total, we can first calculate the discount he will receive from the coupon, and then calculate the tip he will leave. Finally, we can add up these two amounts to find the final total.

Calculate the discount: The subtotal of $21.50 will be reduced by 10%, so the discount will be $21.50 × 0.10 = $2.15

Calculate the tip before the discount: The subtotal of $21.50 will have a 20% tip added, so the tip will be $21.50 × 0.20 = $4.30

Add up the subtotal, discount, and tip.

The final total will be $21.50 + $4.30 - $2.15 = $24.65.

So, Abdiel's total will be $23.65.

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