Rachel has $18.20 deducted from her paycheck every month for insurance. After 6.25 months, how much money has been deducted from Rachel’s checks?
-$11.38
-$18.20
-$113.75
-$1,137.5

The measure of the angle between the sides measuring 512 and 734 of a triangular field is cosine inverse of -66594.99

What is Law of Cosines?

Law of cosines signifies the relation between the lengths of sides of a triangle with respect to the cosine of its angle. It is also called the cosine rule.

If ABC is a triangle, then as per the statement of cosine law,  we have:

a² = b² + c² – 2bc cos x, where a, b, and c are the sides of triangle and x is the angle between sides b and c.

According to the given question:

Consider the triangle attached below as triangle ABC, where,

a = 473

b = 512

c = 734

By using cosines law,

a² = b² + c² – 2bc cos x

Substituting the value of the sides of the triangle i.e a, b and c, we get

cos(x) = (512² + 734² - 473²)/(2*512*734)

cos(x) = -66594.99

Hence the required angles is cosine inverse of -66594.99

To know more about law of cosines visit

https://brainly.com/question/17289163

#SPJ4

area: 36 units²

\(\hookrightarrow \sf 9 \ * \ 4\)

\(\hookrightarrow \sf 36 \ units^2\)

Area:-

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

\( \frac{ {5}^{8} }{ {5}^{3} } \\ \)

Now you may reduce the fraction

\( = {5}^{5} \)

A function assigns the value of each element of one set to the other specific element of another set. The zeroes of the functions are -2, 1, and 3.

A function assigns the value of each element of one set to the other specific element of another set.

Given f(x) = (x - 1)(x + 2)(x − 3), therefore, the zeroes of the functions are -2, 1, and 3. The end behavior of the function is that if x approaches ∞ then f(x) approaches ∞, while if x approaches -∞ then f(x) approaches -∞, as can be observed from the given graph.

Hence, the zeroes of the functions are -2, 1, and 3.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

Answer:

−1, 2, −3; continues downward to the left and upward to the right

Step-by-step explanation:

Answer:

I replaced alpha by A and bitta by B. Sorry for this mistake

Answer:

Step-by-step explanation:

Given

Then the sum and product of the roots are:

(i) Roots are α + 1 and β + 1, then we have:

(ii) Roots are 2 - α and 2 - β, then we have:

(iii) Roots are α² and β², then:

(iv) Roots are 1/α and 1/β, then:

(v) Roots are 2/α² and 2/β², then:

In summary, when using the first-order, centered method with a step size of Ax=0.1, the numerical estimate of the derivative of the function f(x) = x^3 + x^2-3x-1 at x=-1 is approximately -2.00. The analytical derivative of the function is f'(x) = 3x^2+2x-3.

To estimate the derivative numerically, we can generate a table of ordered values for the function f(x), its analytical derivative f'(x), and the numerical estimate of the derivative. The first-order, centered method approximates the derivative as the difference in function values between x+Ax and x-Ax, divided by twice the step size.

In this case, we choose a step size of Ax=0.1. We calculate the function values at x=-1+Ax and x=-1-Ax, and find the difference. Dividing this difference by twice the step size gives us the numerical estimate of the derivative at x=-1. Using this method, the numerical estimate is approximately -2.00, which matches the analytical result.

In conclusion, the numerical estimate of the derivative of the function f(x) = x^3 + x^2-3x-1 at x=-1, obtained using the first-order, centered method with Ax=0.1, is approximately -2.00. This estimate is in close agreement with the analytical derivative f'(x) = 3x^2+2x-3, indicating a reasonable approximation of the true derivative value.

Learn more about function here: brainly.com/question/30721594

#SPJ11

When using the first-order, centered method with a step size of Ax=0.1, the numerical estimate of the derivative of the function f(x) = x^3 + x^2-3x-1 at x=-1 is approximately -2.00.

The analytical derivative of the function is f'(x) = 3x^2+2x-3.To estimate the derivative numerically, we can generate a table of ordered values for the function f(x), its analytical derivative f'(x), and the numerical estimate of the derivative. The first-order, centered method approximates the derivative as the difference in function values between x+Ax and x-Ax, divided by twice the step size.

In this case, we choose a step size of Ax=0.1. We calculate the function values at x=-1+Ax and x=-1-Ax, and find the difference. Dividing this difference by twice the step size gives us the numerical estimate of the derivative at x=-1. Using this method, the numerical estimate is approximately -2.00, which matches the analytical result.

The numerical estimate of the derivative of the function f(x) = x^3 + x^2-3x-1 at x=-1, obtained using the first-order, centered method with Ax=0.1, is approximately -2.00. This estimate is in close agreement with the analytical derivative f'(x) = 3x^2+2x-3, indicating a reasonable approximation of the true derivative value.

Learn more about function here: brainly.com/question/30721594
#SPJ11

Answer:

1/2x<=y

Step-by-step explanation:

you find the equation first

Answer:

Option (B) 0.00076

Step-by-step explanation:

Surface area of a sphere = 4πr²

Volume of a sphere = 4π/3 (r³)

Surface area : Volume = 4πr² : 4π/3 (r³)

                                      = r² : 1/3 (r³)

                                      = 3 r² : r³

                                      = 3/r

                                      = 3/3960

                          (AFTER SIMPLIFICATION)

                                      = 0.00076

Hence the answer is option (B) 0.00076

Hope my answer help you ✌️

The correct option is B) 0.00076. The surface-area-to-volume ratio is 0.00076.

To find the approximate surface-area-to-volume ratio of the Earth with a radius of approximately 3,960 miles, we will use the following formulas:

Surface area (A) of a sphere: A = 4πr²
Volume (V) of a sphere: V = (4/3)πr³

Step 1: Calculate the surface area:
A = 4π(3,960)² ≈ 197,392,088 square miles

Step 2: Calculate the volume:
V = (4/3)π(3,960)³ ≈ 260,625,332,197 cubic miles

Step 3: Calculate the surface-area-to-volume ratio (A/V):
A/V ≈ 197,392,088 / 260,625,332,197 ≈ 0.000757

The best answer from the choices provided is B. 0.00076.

To learn more about surface-area-to-volume ratio, refer here:

https://brainly.com/question/14289582#

#SPJ11

To determine how well Luke must score on exam B in order to do equivalently well as he did on exam A, we need to first standardize his score on exam A using z-scores.

A z-score represents the number of standard deviations a given data point is away from the mean. The formula for calculating z-scores is:

z = (x - μ) / σ

where x is the data point, μ is the mean, and σ is the standard deviation.

In this case, Luke's score on exam A has a z-score of:

z = (850 - 750) / 50 = 2

This means that his score on exam A is 2 standard deviations above the mean.

To do equivalently well on exam B, Luke needs to achieve a score that has the same z-score of 2. We can use the formula for z-scores again to determine what score he needs to achieve:

2 = (x - 38) / 5

Solving for x, we get:

x = 48

Therefore, Luke needs to score 48 on exam B in order to do equivalently well as he did on exam A.

It's important to note that we're assuming that the distributions of the two exams are both normal distributions. If this assumption is not valid, then our answer may not be accurate.

learn more about exam here: brainly.com/question/29657389

#SPJ11

Answer:

there is the answer 347.82

The answer to this question is 347.82

Answer:

$1,139

Step-by-step explanation:

1,340 × .15 = 201

1,340 - 201 = 1139

Answer: 1139

The vertical height of the kite is 165.5 ft

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled

Given that, a kid is flying a kite and has reeled out his entire line of 150 ft of string, the angle of elevation of the string is 65°

We need to find, the vertical height of the kite,

If we see the figure (refer to the attachment), we can see that, this scene will make a right triangle, where the string of the kite will be the hypotenuse and the vertical height of the kite is the perpendicular,

Since, we need the vertical height, will use trigonometric ratios,

We have, hypotenuse and the references angle and need perpendicular,

We know that, Sine of an angle is the ratio of perpendicular to hypotenuse,

Therefore,

Sin65° = 150 / AB

AB = 165.5

Hence, the vertical height of the kite is 165.5 ft

Learn more about trigonometric ratios, click;

https://brainly.com/question/25122825

#SPJ1

The scale used to make the model is approximately 1:669.7 (or 1 cm on the model represents 669.7 cm or 6.697 m in the actual building).

We need to first convert the units to either feet or meters to make sure they are consistent. Let's convert the height of the original building from meters to feet:

\($110 \text{ m} \times \frac{3.28 \text{ ft}}{1 \text{ m}} = 360.88 \text{ ft}$\)

So, the original building is 360.88 feet tall.

Now, we can use the scale model to find the scale:

\($\frac{\text{height of scale model}}{\text{height of original building}} = \frac{5.4 \text{ ft}}{360.88 \text{ ft}}$\)

Simplifying the fraction gives:

\($\frac{27}{18044}$\)

So, the scale used to make the model is approximately 1:669.7 (or 1 cm on the model represents 669.7 cm or 6.697 m in the actual building).

Learn more about scale here

https://brainly.com/question/29967135

#SPJ11

Based on the empirical rule, the probability that the hedge fund returns over 50% next year is approximately 5%.

The empirical rule, also known as the 68-95-99.7 rule, is a statistical guideline that applies to a normal distribution (also called a bell curve). It states that for a normal distribution:

Approximately 68% of the data falls within one standard deviation of the average.

Approximately 95% of the data falls within two standard deviations of the average.

Approximately 99.7% of the data falls within three standard deviations of the average.

In this case, we know the average return of the hedge fund is 26% per year, and the standard deviation is 12%. We want to approximate the probability that the fund returns over 50% next year.

To do this, we need to determine how many standard deviations away from the average 50% falls. This can be calculated using the formula:

Z = (X - μ) / σ

Where:

Z is the number of standard deviations away from the average.

X is the value we want to find the probability for (50% in this case).

μ is the average return of the hedge fund (26% per year in this case).

σ is the standard deviation (12% in this case).

Let's calculate the Z-value for 50% return:

Z = (50 - 26) / 12

Z ≈ 24 / 12

Z = 2

Now that we have the Z-value, we can refer to the empirical rule to estimate the probability. According to the rule, approximately 95% of the data falls within two standard deviations of the average. This means that there is a 95% chance that the hedge fund's return will fall within the range of (μ - 2σ) to (μ + 2σ).

In our case, the range is (26 - 2 * 12) to (26 + 2 * 12), which simplifies to 2 to 50.

To know more about average here

https://brainly.com/question/16956746

#SPJ4

The tire will make 452.52 rotations if it travels a linear distance of 1 mile.

To calculate the linear distance (m) the tire travels, we need to find the circumference of the tire first.
Circumference = π x Diameter
Circumference = 3.14 x 28.6 in
Circumference = 89.884 in
Now, we can find the linear distance (m) the tire travels by multiplying the circumference by the number of rotations.
Linear distance = Circumference x Rotations
Linear distance = 89.884 in x 6.5
Linear distance = 583.66 in
To convert this to meters, we need to divide by 39.37 (since there are 39.37 inches in a meter).
Linear distance = 583.66 in ÷ 39.37
Linear distance = 14.83 m.
To find out how many rotations the tire will make if it travels a linear distance of 1 mile (which is 1609.34 meters), we can use the formula:
Rotations = Linear distance ÷ Circumference.
Rotations = 1609.34 m ÷ 89.884 in
Rotations = 452.52 rotations.

For similar question on distance.

https://brainly.com/question/2854969

#SPJ11

Answer:

-23

Step-by-step explanation:

Plug in each value for its respective variable.

-(24) - 2(7) + 3(5)

-24 - 14 + 15

= -23

Answer:

-23

Step-by-step explanation:

Plug in each value for its respective variable.

-(24) - 2(7) + 3(5)

Answer:

(4,-1)

Step-by-step explanation:

You can solve this system of equations in a couple of different ways, but I'm going to use the elimination method. If you're solving a system of equations using elimination, you want to have one variable cancel out. In this case, we don't have to change anything because -3y and 3y will already cancel out if we add the two equations together. You can both add or subtract, but it's easiest to add in this case. The equation will be set up like this: 2x-3y=11

                                                                                                      +  7x+3y=25

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

After you add them together, you should get 9x=36, which you can solve by dividing both sides by 9. Then, you'll get x=4. This is your x-coordinate. Next, you want to get your y-coordinate, so you can substitute 4 into one of the two equations for x and solve for y. This will get you -1 for y. I'd also recommend checking your answer. Hope this was helpful! :)

The primary code we use to signal identity, according to Remland, is nonverbal communication.

Nonverbal communication refers to the transmission of messages without the use of words. It involves various forms of communication such as facial expressions, body language, gestures, posture, eye contact, and tone of voice. Remland, a researcher in the field of communication, emphasizes the significance of nonverbal cues in signaling identity.

Nonverbal cues play a crucial role in expressing our cultural, social, and personal identities. They can convey information about our emotions, attitudes, status, and affiliations. For example, the way we dress, our choice of accessories, and our body language can communicate aspects of our identity such as our gender, social group, or profession.

Nonverbal communication is particularly powerful because it often operates at an unconscious level and can convey messages that are difficult to express through words alone. These nonverbal signals can shape impressions, establish connections, and influence how others perceive and respond to us.

According to Remland, nonverbal communication is the primary code we use to signal identity. Understanding and interpreting nonverbal cues are essential for effective communication and for navigating social interactions, as they provide valuable insights into the identities and intentions of individuals.

To know more about communication visit:

https://brainly.com/question/28153246

#SPJ11

Option(C),  the approximate standard deviation of X is 7.59. The sample size increases, the standard deviation of X will decrease, making it a more reliable estimate of the population proportion.

To find the approximate standard deviation of X, we can use the formula:
σ = √(np(1-p))
Where n is the sample size (1500 in this case), p is the probability of success (0.04 in this case), and (1-p) is the probability of failure (0.96 in this case).
Substituting the values, we get:
σ = √(1500 x 0.04 x 0.96)
σ = √57.6
σ ≈ 7.59
Therefore, the approximate standard deviation of X is 7.59. Option C is the correct answer.
The standard deviation is a measure of how spread out a set of data is from the mean. In this case, the standard deviation of X represents how much the number of people who support the increase in the state sales tax varies from sample to sample.
As per the given information, 4% of all adults in Ohio support the increase. We can assume that this is the population proportion. Since we are dealing with a sample of 1500 adults in Ohio, we need to calculate the standard deviation of the sample proportion (X), which is an estimate of the population proportion.
Using the formula σ = √(np(1-p)), we find that the standard deviation of X is approximately 7.59. This means that if we were to take multiple random samples of 1500 adults from Ohio and ask them about their support for the sales tax increase, we can expect the number of supporters to vary by about 7.59 on average.
It's important to note that this is only an estimate, and the actual standard deviation of X may differ slightly from 7.59 due to sampling error. However, as the sample size increases, the standard deviation of X will decrease, making it a more reliable estimate of the population proportion.

To know more about  standard deviation visit :

https://brainly.com/question/29115611

#SPJ11

Answer:

x=5

Step-by-step explanation:

Answer:

X = 5

Step-by-step explanation:

tesfa = x

dad = 4x

mom= 4x-1

x+4x+4x-1=101

9x+1=101

9x=100

100/9= 11.1

Answer:

Jada will be .6 miles ahead of Elena

Step-by-step explanation:

3 miles per hour times 3 (for the 3 hours) gives you nine miles.

2.8 miles per hour time 3 ( for the 3 hours) give you 8.4 miles.

Subtract 9 by 8.4 to get .6 miles.

Given:

The point (9,-12) is on terminal side of angle theta in standard position.

To find:

The exact value of each of the six trigonometric functions of theta.

Solution:

The given point is (9,-12). Here, x-coordinate is positive and y-coordinate is negative. So, the point lies in 4th quadrant and only cos and sec are positive in 4th quadrant.

We know that,

\(r=\sqrt{x^2+y^2}\)

\(r=\sqrt{9^2+(-12)^2}\)

\(r=\sqrt{81+144}\)

\(r=\sqrt{225}\)

\(r=15\)

Now,

\(\sin \theta=\dfrac{y}{r}=\dfrac{-12}{15}=-\dfrac{4}{5}\)

\(\cos \theta=\dfrac{x}{r}=\dfrac{9}{15}=\dfrac{3}{5}\)

\(\tan \theta=\dfrac{y}{x}=\dfrac{-12}{9}=-\dfrac{4}{3}\)

\(\cot \theta=\dfrac{1}{\tan \theta}=-\dfrac{3}{4}\)

\(\text{cosec} \theta=\dfrac{1}{\sin \theta}=-\dfrac{5}{4}\)

\(\sec \theta=\dfrac{1}{\cos \theta}=\dfrac{5}{3}\)

Therefore, the values of six trigonometric functions of theta are \(\sin \theta=-\dfrac{4}{5},\cos \theta=\dfrac{3}{5},\tan \theta=-\dfrac{4}{3},\cot \theta=-\dfrac{3}{4},\text{cosec} \theta=-\dfrac{5}{4},\sec \theta=\dfrac{5}{3}\).

There may also possible that system may contain infinitely many solutions because matrix is 5 x 3

What does matrix mean in reality?

They are employed in a range of scientific endeavors, including the production of graphs, statistics, calculations, and research projects.  

                               Real-world statistics like population, infant mortality rate, and other data are also represented using matrices.

we know that  Ax = b is

and   b = x1 a1 +x2 a2 +x3 a3 ,

given condition is b  = a1+a2  = a2+a3

we see from the condition above that one solution is x1 = 1, x2 = 1, x3 = 0 and another is x1 = 0, x2 = 1, x3 = 1. Therefore   there are at least two solutions.

there may also possible that system may contain infinitely many solutions because

matrix is 5 x 3

Learn more about Matrixes

brainly.com/question/28180105

#SPJ1

Answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

The fraction 6 3/4 is closer to 7 than it is to 6; the fraction 1 2/3 is closer to 2 than it is to 1. So the best estimation is the first choice, 7 / 2.

Answer:

7 ÷ 2

Step-by-step explanation:

4.05  -3.5  =0.55  

4.05 - 6 =-1.94  

4.05 -2.66   =1.38  

4.05  -1.5 =2.55  

Yes, he value of the integral ∫21δq/t the same for all reversible processes between states 1 and 2?.

The integral ∫21δq/t is the definition of entropy change (ΔS) for a reversible process between states 1 and 2. Since entropy is a state function, the value of ΔS is independent of the path taken between the two states.

Hence, the value of the integral ∫21δq/t is the same for all reversible processes between states 1 and 2. This means that if the initial and final states are the same, the change in entropy will be the same regardless of how the process occurred, as long as the process is reversible.

However, if the process is not reversible, then the value of the integral will be different, as irreversible processes involve a net increase in entropy.

For more questions like Integral click the link below:

https://brainly.com/question/18125359

#SPJ11