evaluate -x+4 when x = -2

Answer:

Step-by-step explanation:

As the name Karen is chosen 29 out of 111 times,

the experimental probability of the name Karen being​ chosen = 29/111

As five different names were put into a hat,

the theoretical probability of one name like Karen being​ chosen = 1/5

If the number of names in the hat were different, the experimental probability will still depend on the outcomes. If it is 29 out of 111 times, then the probability stays the same.

But the theoretical probability will be 1 out of the number of names. So it will change.

Answer:

Step-by-step explanation:

P(experimental) = outcome = 29/111

P(theoretical) = P(equal chance) = 1/5

P(expt) no change w/ no. of names

P(theo) changes w/ no. of names

The numbers are 4 units from -2 on this number lines are -6, 2 and 6.

A number line is a horizontal line that has equally spread number increments.

The numbers included on the line will determine how the number on the line can be marked.

According to the question,

Firstly, we will add the two numbers.

4 + (-2) = 4 - 2 = 2

Then, we will subtract the two numbers.

4 - (-2) = 4 + 2 = 6

-2 - 4 = -6

The numbers 2, 6 and -6 are represented on the number line.

Therefore, the numbers are 4 units from -2 on this number lines are -6, 2 and 6.

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Janet has 630 options to customize a car based on the given features.

How to solve the question?

To determine the number of ways Janet can customize a car, we need to multiply the number of choices she has for each feature. Therefore, the total number of ways Janet can customize a car can be calculated as:

10 car models x 7 exterior colors x 9 interior colors = 630

Thus, Janet has 630 options to customize a car based on the given features.

It's worth noting that this calculation assumes that each feature (car model, exterior color, and interior color) can be combined with any other feature, without any restrictions or dependencies. However, in reality, certain car models may not be available in certain exterior or interior colors, or there may be other restrictions on the customization options.

Additionally, there may be other features that Janet can customize, such as the type of engine, transmission, or other options. Therefore, the total number of customization options may be even greater than what we have calculated here.

In summary, based on the given information, Janet has 630 ways to customize a car, but in reality, the actual number of options may be more limited or varied depending on other factors.

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Answer:

The answer would be 24

Step-by-step explanation:

8 x 3 = 24

Step-by-step explanation:

Just :    5,8374

The resultant normal force at point D along the x-direction is \(F_D_x=0\) and  the resultant shear force at point D along the y-direction is \(F_D_y=154.29N\)

Consider the equilibrium of the shaft.

Resolve the forces along the y-direction.

\(R_A_y+R_B_y=200+200+80+80R_A_y+R_B_y=560-----(1)\)

Take moments about point B and about the z-axis:

\(R_A_y*1.4=2*100*0.7+2*80*0.4\\\\R_A_y=245.71\)

Substitute the above value in equation (1).

\(245.71+R_B_y=560\\\\R_B_y=314.29N\)

Resolve the forces along the z-direction.

\(R_A_z+R_B_z=385+385R_A_z+R_B_z=770-----(2)\)

Take moments about point B and about the y-axis:

\(R_A_z*1.4=2*385*1.1\\\\R_A_z=605N\)

Substitute the above value in equation (2).

\(605+R_B_z=770\\\\R_B_z=165N\)

a) The resultant normal force at point D along the x-direction is

\(F_D_x=0\)  

b) The resultant shear force at point D along the y-direction is

\(F_D_y-R_B_y+2*80=0\\\\F_D_y-314.29+160=0\\F_D_y=154.29N\)

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Answer:

107.50

Step-by-step explanation:

Given the following :

Midpoint (S)____F

S y 93 95 97 99 101 103 105 107 109 111 f 19 25 38 17 12 10 5 4 4 2

Calculating the mean and standard deviation using a calculator :

The mean(m) of the data above = 98.12

Standard deviation (sd) = 4.02

Proportion = 99% of population

From z table = 2.33

Using :

Zscore =(x - m) / sd

2.33 = (x - 98.12) / 4.02

2.33 * 4.02 = x - 98.12

9.3666 = x - 98.12

9.3666 + 98.12= x

x = 107.4866

X = 107.50

The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Net operating profit = (22 million - 19 million)*(1 - 0.36)

                                = $1.92  million

EVA = net operating profit after taxes - invested capital*WACC

       = 1.92 million - 15 million*0.10

       = $0.42 million

Therefore, The firm’s economic value added (EVA), that is, how much value did management add to stockholders’ wealth during 2018 is $0.42 million.

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Answer:

1) 49 degrees

2) It is a trapezoid

Step-by-step explanation:

1) the angles of a quadrilateral are 360 degrees, 78 + 102 + 132 + ? = 360

312 + ? = 360

? = 48

The true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

From the given options, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

Let's analyze each statement:

Its leading coefficient is positive:

The leading coefficient of a polynomial is the coefficient of the term with the highest degree.

From the graph, if the polynomial is going upwards on the right side, it indicates that the leading coefficient is positive.

It has an odd degree: The degree of a polynomial is the highest power of the variable in the polynomial expression.

If the graph has an odd number of "turns" or "bumps," it indicates that the polynomial has an odd degree.

None of the zeroes have even multiplicity:

The multiplicity of a zero refers to the number of times it appears as a factor in the polynomial.

In the given graph, if there are no repeated x-intercepts or no points where the graph touches and stays on the x-axis, it implies that none of the zeroes have even multiplicity.

The other statements (its leading coefficient is negative, it has an even degree, it has exactly two real zeroes, it has exactly three real zeroes, and none of the zeroes have odd multiplicity) cannot be determined based solely on the information given.

Therefore, the true statements about the polynomial function graphed are:

Its leading coefficient is positive.

It has an odd degree.

None of the zeroes have even multiplicity.

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Answer:

Step-by-step explanation:

10 tacos = $8.49

So, one taco = $8.49 / 10

=> $0.849

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Thank You!!

Answer:

about $0.85

Step-by-step explanation:

8.49 divided by 10 = 0.849. Round to the nearest thousanths.

Answer: 158

Step-by-step explanation:

-4 (-9f - 8) + 6f

-4 (-9(3) - 8) + 6(3)

-4(-27-8)+18

-4(-35)+18

140+18

158

Answer:

S=4

Step-by-step explanation:

All the sides of an equilateral triangle are equal, so if one side is equal to 4, every side is equal to 4.

I literally used a protractor to check.

By the concept of polynomial, first second and third option are correct.\

What is polynomial?

At first it is important to know about algebraic expression

Algebraic expression consist of variables and numbers connected with addition, subtraction, multiplication and division.

An algebraic expression of the form \(a_0+a_1x+a_2x^2 + ....+a_nx^n\) is called a polynomial of degree n

For the First Option

5 - 2a is in the form of \(b_0 + a_1a\)

So the first option is a polynomial

For the second option

\(4 - 8^2 -16\\4 -64 -16\\-76\)

which is a constant

And all constants are polynomial

So the second option is a polynomial

For the third option

\(5x^3 +4x^13x +1\\5x^3 + 12x^2 +1\)

which is of the form \(a_0+a_1x + a_2x^2 + a_3x^3, a_1 = 0\)

So the third option is a polynomial

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Answer:

55

Step-by-step explanation:

If you multiply by 5 to get it over 100, or the percent, you get 55/100 which can just be written as 0.55 or 55%.

Given,

Now, dividing 228 by 6 we get,

So, the remainder is 0.

The absolute deviation of each of the data values are 4, 1 and 3 respectively.

The absolute deviatuon gives the distance of any given value in a dataset to the mean value. The absolute deviation is always positive as it does not consider the side to which the value belongs.

Absolute deviation = |value - mean|

Mean = 4

Absolute deviation of 0 = |0 - 4| = 4

Absolute deviation of 3 = |3 - 4| = 1

Absolute deviation of 7 = |7 - 4| = 3

Hence, The absolute deviation of each of the data values are 4, 1 and 3 respectively.

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Answer:

-1/2

Step-by-step explanation:

We know

The dilation of K(-2,4) equals K'(1,-2)

To get from -2 to 1, we time -1/2

To get from 4 to -2, we time -1/2

So, the scale factor used for the dilation is -1/2

Answer:

C (Lake Depth Answer)

Step-by-step explanation:

Here we want to find the math that ends up with 0.

The stock starts with 12$, but loses 16$.

That's -4$ total, not 0.

The ion starts with 19 protons, and 18 electrons. Protons are postive charges, electrons are negative.

This leaves us with 1 proton, not 0.

The lake depth increases by 6 inches, but evaporates 6.

This leaves us back where we started, with 0.

Ahmed spends 25$, but earns 30$.

This leaves us with $5, not 0.

Answer:

8% of 625 = 50

Step-by-step explanation:

8% of 625 = 0.08 × 625 = 50

The given problem is

Notice that these numbers have different signs, that means we have to subtract them.

Answer:

1

Step-by-step explanation:

Answer:

13, 17, 19

Step-by-step explanation:

Go through (12-20) and find the multipliers for each number.

13 = 13 x 1

14 = 7 x 2 , 14 x1 = no

15 = 5 x 3, 15 x 1 = no

17 = 17 x 1

18 = 6 x 3, 9 x 2, 18 x 1 = no

19 = 19 x 1

Cada kilogramo de la mezcla contiene 0.25 kilogramos de café chiapaneco y 0.75 kilogramos de café veracruzano.

El costo total de la bolsa de café se determina mediante una media ponderada:

\(C = x\cdot C_{C}+(1-x)\cdot C_{V}\) (1)

Donde:

Debemos despejar la proporción másica:

\(C = C_{V} + x\cdot (C_{C}-C_{V})\)

\(x = \frac{C-C_{V}}{C_{C}-C_{V}}\)

Si sabemos que \(C = 25.50\), \(C_{C} = 30\) y \(C_{V} = 24\), entonces la proporción másica es:

\(x = \frac{25.50-24}{30-24}\)

\(x = 0.25\)

En otras palabras, cada kilogramo de la mezcla contiene 0.25 kilogramos de café chiapaneco y 0.75 kilogramos de café veracruzano.

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Solving a quadratic equation, it is found that the largest possible value of a is of a = 5.

A quadratic equation is modeled by the following rule:

y = ax + bx + c

The solutions of the equations are the values of x for which y = 0.

For this problem, the equation is:

a² - 6a - 9 = b.

b = -9 - a, hence we replace in the equation as follows;

a² - 6a - 9 = -9 - a

a² - 5a = 0.

Traditionally, the solutions are given using Bhaskara's formula, however, since the coefficient c is zero, we can solve the equation by elimination as follows:

a² - 5a = 0.a(a - 5) = 0

Then the solutions are:

a = 0.

a - 5 = 0 -> a = 5.

5 > 0, hence the largest possible value of a is of a = 5.

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Answer:

45) The function corresponds to graph A

46) The function corresponds to graph C

47) The function corresponds to graph B

48) The function corresponds to graph D

Step-by-step explanation:

We know that the function f(x) is:

\(f(x)=(x-2)^{2}+1\)

45)

The function g(x) is given by:

\(g(x)=f(x-1)\)

using f(x) we can find f(x-1)

\(g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1\)

If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.

\(g(x)'=2(x-3)\)

\(2(x-3)=0\)

\(x=3\)

Puting it on g(x) we will get y value.

\(y=g(3)=(3-3)^{2}+1\)

\(y=g(3)=1\)

Then, the minimum point of this function is (3,1) and it corresponds to (A)

46)

Let's use the same method here.

\(g(x)=f(x+2)\)

\(g(x)=((x+2)-2)^{2}+1\)

\(g(x)=(x)^{2}+1\)

Let's find the first derivative and equal to zero to find x and y minimum value.

\(g'(x)=2x\)

\(0=2x\)

\(x=0\)

Evaluatinf g(x) at this value of x we have:

\(g(0)=(x)^{2}+1\)

\(g(0)=1\)

Then, the minimum point of this function is (0,1) and it corresponds to (C)

47)

Let's use the same method here.

\(g(x)=f(x)+2\)

\(g(x)=(x-2)^{2}+1+2\)

\(g(x)=(x-2)^{2}+3\)

Let's find the first derivative and equal to zero to find x and y minimum value.

\(g'(x)=2(x-2)\)

\(0=2(x-2)\)

\(x=2\)

Evaluatinf g(x) at this value of x we have:

\(g(2)=(2-2)^{2}+3\)

\(g(2)=3\)

Then, the minimum point of this function is (2,3) and it corresponds to (B)

48)

Let's use the same method here.

\(g(x)=f(x)-3\)

\(g(x)=(x-2)^{2}+1-3\)

\(g(x)=(x-2)^{2}-2\)

Let's find the first derivative and equal to zero to find x and y minimum value.

\(g'(x)=2(x-2)\)

\(0=2(x-2)\)

\(x=2\)

Evaluatinf g(x) at this value of x we have:

\(g(2)=(2-2)^{2}-2\)

\(g(2)=-2\)

Then, the minimum point of this function is (2,-2) and it corresponds to (D)

I hope it helps you!

Answer:

It is not a closed circle

Step-by-step explanation:

You  see they are not all at the same degrees and a b d have a right angle and c is an obtuse angle.

Answer:

184

Step-by-step explanation:

2*(6*5+6*14+5*14)=184