What are the solutions of-4(x-4) < -8

Answer: C

Step-by-step explanation:

For our unknown value x, the opposite side = 10 and the adjacent side = 18, using this information you can use SOH CAH TOA.

TOA refers to opposite over adjacent, which would be

tan x = 10/18.

Hope this helps!

Answer:

Yes they both are equal

The general solution form for the recurrence tn = 120,-2 - 166n-3 + 2.

Given a recurrence relation tn = 120,-2 - 166n-3 + 2 we have to derive the general solution form for the recurrence sequence.

We have the recurrence relation tn = 120,-2 - 166n-3 + 2

We need to find the solution for the recurrence relation.

Associated Homogeneous Equation: First, we need to find the associated homogeneous equation.

                                     tn = -166n-3 …..(i)

The characteristic equation is given by the following:tn = arn. Where ‘a’ is a constant.

We have tn = -166n-3..... (from equation i)ar^n = -166n-3

                                Let's assume r³ = t.

Then equation i becomes ar^3 = -166(r³) - 3ar^3 + 166 = 0ar³ = 166

Hence r = ±31.10.3587Complex roots: α + iβ, α - iβ

Characteristics Polynomial:

                   So, the characteristic polynomial becomes(r - 31)(r + 31)(r - 10.3587 - 1.7503i)(r - 10.3587 + 1.7503i) = 0

The general solution of the Homogeneous equation:

Now we have to find the general solution of the homogeneous equation.

                  tn = C1(-31)n + C2(31)n + C3 (10.3587 + 1.7503i)n + C4(10.3587 - 1.7503i)

                        nWhere C1, C2, C3, C4 are constants.

Computing a Particular Solution:

                Now we have to compute the particular solution.

                                  tn = 120-2 - 166n-3 + 2

Here the constant term is (120-2) + 2 = 122.

The solution of the recurrence relation is:tn = A122Where A is the constant.

The General Solution of Non-Homogeneous Equation:

        The general solution of the non-homogeneous equation is given bytn = C1(-31)n + C2(31)n + C3 (10.3587 + 1.7503i)n + C4(10.3587 - 1.7503i)n + A122

Hence, we have derived the general solution form for the recurrence tn = 120,-2 - 166n-3 + 2.

Learn more about recurrence sequence.

brainly.com/question/30076873.

#SPJ11

Answer:

There is no solution

Step-by-step explanation:

\(5(x + 3) - 2 = 2 + 5x + 9\)

\(5x+15-2-2-5x-9=0\\15-13=0\\2=0\)

There is no solution

because 2=0 is not possible.

→5(x + 3) - 2 = 2 + 5x + 9

→5x+15-2 = 11+5x

→5x-5x = 11-13

→x = -2

~

The integers that are pairwise relative are;

(a) 11, 15, 19

(c) 12, 17, 31, 37

(d) 7, 8, 9, 1

To determine if the integers are pairwise relative, their greatest common divisor (GCD) must be 1.

(a) for first question;

11, 15, 19 have no common factor, so they meet the condition.

(b) for second question; 14, 15, 21

14, 15, 21, 14 and 21 have a common factor of 7, so these integers are not pairwise relative.

(c) for 12, 17, 31, 37, no common factor

(d)  for 7, 8, 9, 1, no common factor other than 1.

Learn more about pairwise relatively prime here: https://brainly.com/question/23481510

#SPJ1

Critical angle for the total internal reflection icrit, β =  78.28⁰

Critical angle for the total internal reflection crit, α = 17,22⁰

We have the refractive index of core, \(n_c_o_r_e\) = 1.46

We have the refractive index of clad , \(n_c_l_a_d\) = 1.4

Critical angle can be defined as the incidence angle which results in the refraction angle being equal to  at that angle of incidence.

For Total Internal Reflection to occur, the incidence angle must be greater than the critical angle.

We know that the critical angle, θ is given by:

sinθ = \(\frac{n_c_l_a_d}{n_c_o_r_e}\)

sinθ = \(\frac{1.4}{1.46}\)

sinθ = 0.959 = sin⁻¹(0.979) = 78.28⁰

β = θ = 78.28⁰

Now, for α:

\(\frac{sin(90-\alpha )}{sin\alpha } = \frac{1}{n_c_o_r_e}\)

sinα = sin(90⁰-78.28⁰) × 1.46

sinα = sin(11.72⁰) × 1.46

α = sin⁻¹(0.296)

α = 17,22⁰

For more information on this visit:

https://brainly.com/question/13193665

#SPJ4

Critical angle for total internal reflection icrit β = 78.28⁰

Critical angle for total internal reflection crit, α = 17.22⁰

The refractive index of the core is ncore = 1.46.

The refractive index of clad is nclad = 1.4.

We know that the critical angle, θ is given by:

sinθ = nclad/ ncore

sinθ = 1.4/1.46

sinθ = 0.959

sin⁻¹(0.979) = 78.28⁰

β = θ = 78.28⁰

Now, for α:

sin(90- α) / sin α = 1 / ncore

sinα = sin(90⁰-78.28⁰) × 1.46

sinα = sin(11.72⁰) × 1.46

α = sin⁻¹(0.296)

α = 17.22⁰

Critical angle for icrit β = 78.28⁰

Critical angle for crit α = 17.22⁰

Learn more about Total internal reflection here

https://brainly.com/question/13088998

#SPJ4

The 95% confidence interval for the population mean is approximately [20.03, 20.97].

The percentage (frequency) of acceptable confidence intervals that include the actual value of the unknown parameter is represented by the confidence level.

To calculate the 95% confidence interval for the population mean based on a sample of size 36 with a known variance of 2.1 and a sample mean of 20.5, we can use the formula for a confidence interval for a population mean:

CI = \(\bar X\) ± z * (σ / √n),

where:

CI is the confidence interval,

\(\bar X\) is the sample mean,

z is the z-score corresponding to the desired level of confidence (in this case, 95% confidence),

σ is the population standard deviation,

n is the sample size.

Since we have the population variance (2.1), we can calculate the population standard deviation as σ = √2.1 ≈ 1.45.

Now, let's calculate the confidence interval:

CI = 20.5 ± z * (1.45 / √36).

The z-score corresponding to a 95% confidence level is approximately 1.96 (you can look this up in a standard normal distribution table or use a statistical software).

Substituting the values:

CI = 20.5 ± 1.96 * (1.45 / √36).

Calculating the values within the confidence interval:

CI = 20.5 ± 1.96 * 0.2417.

CI = 20.5 ± 0.4741.

Finally, we can calculate the lower and upper bounds of the confidence interval:

Lower bound = 20.5 - 0.4741 ≈ 20.03.

Upper bound = 20.5 + 0.4741 ≈ 20.97.

Therefore, the 95% confidence interval for the population mean is approximately [20.03, 20.97].

Learn more about confidence interval on:

https://brainly.com/question/17034620

#SPJ4

After answering the provided question, we can conclude that As a result, Jana has a higher batting average than Tasha this season, as she has a batting average of 80% while Tasha has a batting average of 75%.

In mathematics, the average value of a set of integers is calculated by dividing the total number of values by the number of values. To calculate the average value for a dataset, add all of the values together and divide the total by the number of values. In mathematics, the average is the value obtained by adding all of the numbers in a data set and dividing the result by the total number of numbers. As an example, consider the following dataset: 8, 9, 5, 6, 7, 8 + 9 + 5 + 6 + 7, 35/5 = 7, and 7 is the average.

To determine which player has a higher batting average, we must compute the hit-to-attempt ratio for both Jana and Tasha.

Jana has hit the ball 8 times out of 10 attempts, so her batting average is:

Number of Hits / Total Attempts = Batting Average

Batting Average = 8 out of 10

Batting Average = 0.8 (80%).

Tasha has hit the ball nine times out of twelve attempts, so her batting average is:

Number of Hits / Total Attempts = Batting Average

Batting Average = 9 out of 12

75% batting average = 0.75

As a result, Jana has a higher batting average than Tasha this season, as she has a batting average of 80% while Tasha has a batting average of 75%.

To know more about average visit:

https://brainly.com/question/2906096

#SPJ1

a. Inadequate chlorine levels cause cloudy or creamy swimming pool water.

b. Even though water represents the most ample substance on the planet, it is rarely encountered in its pure form in nature.

Part a: Cloudy or milky pool water is ended up causing by seven major issues: insufficient chlorine, an imbalanced pH and alkalinity, extremely high calcium hardness (CH), a faulty or clogged filter, and the initial phases of algae, ammonia, as well as debris.

Methods for Cleaning Cloudy Pool Water

Part b: A swimming pool mixture of water as well as chlorine is made reference to as a homogenous mixture even though water and chlorine cannot be separated back to one‘s distinct materials once mixed together.

Because chlorine as well as water diffuse between each other, they cannot be kept separate into their pure forms again.

To know more about mixture, here

https://brainly.com/question/2331419

#SPJ13

Answer:

The answer is B.

Step-by-step explanation:

You have to apply gradient formula by using coordinates :

\(m = \frac{y2 - y1}{x2 - x1} \)

Let (x1,y1) be (-14,-13),

L3t (x2,y2) be (7,0),

\(m = \frac{0 - ( - 13)}{7 - ( - 14)} \)

\(m = \frac{13}{21} \)

The z-score for a data value of 119 is equal to -1.4.

The z-score is a numerical measurement used in statistics to determine the sample data value's relationship to the mean of a group of values, measured in terms of standard deviation from the mean. It is measured as the difference of the sample data value and the sample mean over the standard deviation, such that

z-score = (x – μ) / σ

where x = sample data value

μ = mean

σ = standard deviation

Based on the problem, the sample data value is 119, the mean is 133, and the standard deviation is 10. Substitute these values into the equation and solve for the z-score.

z-score = (x – μ) / σ

z-score = (119 - 133) / 10

z-score = -14 / 10

z-score = -1.4

Learn more about z-score here: brainly.com/question/17489087

#SPJ4

Answer:

bob

Step-by-step explanation:

Answer:

\((\frac{6}{1})(\frac{11}{4} )\)

\((-\frac{10}{3})(-\frac{17}{5})\)

\((-\frac{9}{2} )(\frac{26}{3} )\)

\((\frac{11}{6})(-\frac{9}{1} )\)

Step-by-step explanation:

I hope this help you

Let's try to understand how we can solve this equation

Given equation,4f+2=6f-12

Now we will take the terms on one side and constants on the other.

=> 2+12=6f-4f

=> 14=2f

=>7=f

So, the value of f would be 7. Remember that while bringing value to another side, the sign of that value changes. If it is a positive sign then it is going to be transformed into a negative one and vice versa.

Answer:

i dont get it is it an angle or a triangle

Answer:

its c =0.48+12p..... i did the math on a piece of paper

Answer:

2100

Step-by-step explanation:

5% of 2000 = 2000 x 1/20 = 100.

2000+100=2100

Also, if it said how much interest will her investment PAY, then it would be $100 because of the 5% simple interest.

9514 1404 393

Answer:

  12x +12y = 7

Step-by-step explanation:

The 2-point form of the equation for a line is useful.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (1/3 -1/4)/(1/4 -1/3)(x -1/3) +1/4

  y = (1/12)/(-1/12)(x -1/3) +1/4)

  y = -x +1/3 +1/4

Add x and multiply by 12.

  x +y = 1/3 +1/4

  12x +12y = 4 +3

  12x +12y = 7

to get 100 percent correct do write in goo   gle or ch  rome calcula, or soup and write        h       the name of the image you have it shows you step by step hope it helps

Step-by-step explanation:

a) The magnitude of Pˉ is P.  b) The direction cosine of Pˉ with respect to the x-axis is 110/P.  c) The directional angle of Pˉ with respect to the z-axis is arctan(60/√(110^2+(-0.58P)^2)).

a) To find the magnitude of vector Pˉ, we use the formula for the magnitude of a vector in three dimensions, which is the square root of the sum of the squares of its components.

b) The direction cosine of a vector with respect to a specific axis is the ratio of the component of the vector along that axis to its magnitude. In this case, the x-component of Pˉ is 110, so the direction cosine with respect to the x-axis is 110 / P.

c) The directional angle of a vector with respect to a specific axis can be found using the arctan function. In this case, we use the y-component and z-component of Pˉ to find the angle between Pˉ and the z-axis.

Therefore, the magnitude of Pˉ is given by P, the direction cosine with respect to the x-axis is cos(θ_x), and the directional angle with respect to the z-axis is θ_z.

Learn more about Vector click here :brainly.com/question/13322477

#SPJ11

To one decimal place, round. points A(-4, 6), B(3, -7), E(-6, -5) and F (2, 0).

The distance between AB is \(\sqrt{185}\)=13.601 and EF is \(\sqrt{89}\)=9.433.

Given that,

To one decimal place, round.

A(-4, 6), B(3, -7), E(-6, -5) and F (2, 0).

We have to find the distance between two points that are AB and EF.

1. The distance between 2 points A and B.

A(-4, 6) and B(3, -7).

Distance formula is \(\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2} }\)

Here, x₁=-1,x₂=3 and y₁=6,y₂=-7

After substituting we get,

\(\sqrt{{(3 -(-1)} )^{2} +(-7 -6 )^{2} }\\\)

\(\sqrt{{(3 +1} )^{2} +(-7 -6 )^{2} }\\\)

\(\sqrt{{(4} )^{2} +(-13 )^{2} }\\\)

\(\sqrt{16 +163}\\\)

\(\sqrt{185}\)

13.601

Therefore, the distance between AB is \(\sqrt{185}\)=13.601.

2.The distance between 2 points E and F.

E(-6, -5) and F (2, 0).

Distance formula is \(\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2} }\)

Here, x₁=-6,x₂=2 and y₁=-5,y₂=0

After substituting we get,

\(\sqrt{{(2 -(-6)} )^{2} +(0 -(-5) )^{2} }\\\)

\(\sqrt{{(2 +6} )^{2} +(0 +5 )^{2} }\\\)

\(\sqrt{{(8} )^{2} +(5 )^{2} }\\\)

\(\sqrt{64 +25}\\\)

\(\sqrt{89}\)

9.433

Therefore, the distance between EF is \(\sqrt{89}\)=9.433.

To learn more about distance visit: https://brainly.com/question/15172156

#SPJ1

Answer:

101.96

Step-by-step explanation:

A=bh=14.2·7.18≈101.956

-hope it helps

Answer:

A = 101.956 cm^2

Step-by-step explanation:

A = bh

A = 14.2 x 7.18

A = 101.956 cm^2

Answer:

cuz i am batman hahahhaahhahah

Step-by-step explanation:

The roots of the equation will be imaginary. Then the number of real solutions will be zero.

The discriminant represents the types of the root. And the discriminant (D) of the equation ax² + bx + c = 0 is given as

D = b² - 4ac

The type of roots will be given below.

The equation is given below.

x² + 4x + 5 = 0

The discriminant of the given equation will be

D = 4² - 4 x 1 x 5

D = 16 - 20

D = - 4

D < 0

The roots of the equation will be imaginary. Then the number of real solutions will be zero.

More about the discriminant link is given below.

https://brainly.com/question/15884086

#SPJ1

Answer:

Left most and the one u selected

Step-by-step explanation:

7p-4p+15 = 3p+15

3(p+5) = 3p + 3 * 5 = 3p + 15

2p-p+15 = p+15

3(p+15) = 3p+45

if correct, pls mark 5 star, thanks, and brainliest!

1 and 2.

7p - 4p + 15

3p + 15

3 (p + 5)

(3 • p) + (3 • 5)

3p + 15

I hope this helps let me know if you need any more help :)

15 cm * (7 km / 1 cm) = 105 km

Answer:

98 km, if i'm not wrong

Step-by-step explanation:

I believe it would be 98km because wouldn't you just multiply 14 x 7?

The average number of beads that the girls have is 63

Let's start by using algebra to represent the given information:

Let b be the number of beads that Sally has.

Then, Kelly has 3/4 times as many beads as Sally, which can be expressed as (3/4)b.

Also, we know that Kelly has 18 more beads than Sally, which can be expressed as (b + 18).

Putting these together, we can write the equation:

(3/4)b = b + 18

Solving for b, we get:

b = 72

So, Sally has 72 beads, and Kelly has (3/4) × 72 = 54 beads.

The average number of beads that the girls have is (72 + 54)/2 = 63 beads

Learn more about average here

brainly.com/question/16956746

#SPJ4