Which angle is in standard position? On a coordinate plane, 2 rays form an angle and both rays are not on the y- or x-axis. On a coordinate plane, 2 rays form an angle and both rays are not on the y- or x-axis. On a coordinate plane, 2 rays form an angle. One ray sits on the x-axis. On a coordinate plane, 2 rays form an angle and both rays are not on the y- or x-axis.

The given function is f(x) = 15(1.02)^x, where x is the number of years from the date at which money is initially deposited.

This means that $15 were initially deposited into the account, and the amount grows at an annual rate of 2% (which is represented by 1.02 being raised to the power of x).

Therefore, the correct answer is: $15 were initially deposited into the account, which grows at an annual rate of 2%.

Hope I helped you...

Answer:

155

Step-by-step explanation:

Answer: \(\dfrac{127}{990}\).

Step-by-step explanation:

Let x=0.1282828...

Multiply 10 on both sides , we get

10 x = 1.282828...         (i)

Now multiply 100 on both sides , we get

1000x=128.2828...          (ii)

Eliminate (i) from (ii), we get

\(990x=127\\x=\dfrac{127}{990}\)

Hence, the required \(\dfrac{p}{q}\) form: \(\dfrac{127}{990}\).

The general solution is y(t) = c1 t⁻⁹ + c2 t² for the Cauchy-Euler equation t² d²y/dt² + 8t dy/dt - 18y.

We can solve this second-order Cauchy-Euler equation by assuming a solution of the form:

y(t) = \(t^{r\)

We substitute this solution into the differential equation and find the characteristic equation by solving for the values of r that satisfy the equation:

t² d²y/dt² + 8t dy/dt - 18y = 0

t² [r(r-1) \(t^{(r-2)}\)] + 8t [r \(t^{(r-1)}\)] - 18\(t^r\) = 0

r(r-1) + 8r - 18 = 0

r² + 7r - 18 = 0

(r + 9)(r - 2) = 0

So the roots are r = -9 and r = 2. Therefore, the general solution is a linear combination of the two independent solutions:

y(t) = c1 \(t^{(-9)\) + c2 t²

where c1 and c2 are constants to be determined by the initial or boundary conditions of the problem.

Know more about general solution here:

https://brainly.com/question/13609544

#SPJ11

The pressure applied on the whole table top = 361.9 N/m² to 4 significant figures.

Pressure= force/area

Area of the circular table = πr²

where r = 75cm = 0.75m

Area of the circular table = 3.143 × 0.75 × 0.75

= 1.768m²

Force = 640 N

Pressure = 640/1.768

= 361.99

= 361.9 N/m² to 4 significant figures.

Learn more about pressure here:

https://brainly.com/question/25736513

The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.

To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:

1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.

2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.

Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.

3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.

4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.

5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.

6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.

To know more about parameters refer here:

https://brainly.com/question/29911057#

#SPJ11

Answer:

0.96%

Step-by-step explanation:

do not answer with 0.966% it WILL be wrong and is a VERY common calculation error due to a very small mistake

Answer:

the correct answer is option C

If the side length is n, then the perimeter is 9n. The closest multiple of 9 to 80 is 81, so n = 9.

Step-by-step explanation:

A nonagon is a shape with 9 sides. A regular shape means that all angles and sides of the shape is equal. That means let call the side of the nonagon, n. That means the perimeter which is 80, which means all side, n will add up.

\(n + n + n + n + n + n + n + n + n = 80\)

or

\(9n = 80\)

Solve for n

\(n = \frac{80}{9} \)

This rounded would make our interger side, 9

Answer:

x-axis

Step-by-step explanation:

The horizontal number line is called the x-axis. The vertical number line is called the y-axis. The point where the x- and y-axes meet is the origin.

Hope this helps! <3

The x-axis is the horizontal number line on the coordinate grid.

It is one of the two axes that form the Cartesian coordinate system, used to locate points in a two-dimensional plane. The x-axis runs horizontally from left to right, intersecting with the vertical y-axis at the origin (0,0). It acts as a reference line, assigning numerical values to the horizontal position of points on the grid.

The x-axis allows us to specify the x-coordinate of a point, which represents its horizontal distance from the origin. Positive values are to the right of the origin, while negative values are to the left. By combining the x-axis with the y-axis, we can precisely define the position of any point in the coordinate plane.

To know more about coordinate:

https://brainly.com/question/32836021

#SPJ6

The answer is (D) 0.25.  To form an obtuse triangle using side lengths x, y, and 1, the largest side must be less than the sum of the other two sides.

Without loss of generality, assume that x ≤ y. Then, the largest side is 1, and the triangle is obtuse if and only if x² + y² < 1². This defines a circle with radius 1 centered at the origin in the xy-plane.

The region of the unit square [0,1] x [0,1] where x² + y² < 1² corresponds to the area inside this circle. This area can be computed as π/4.

Therefore, the probability that x, y, and 1 are the side lengths of an obtuse triangle is the ratio of the area of the circle to the area of the unit square, which is π/4 / 1 = 0.7854. The answer closest to this value is 0.25.

to learn more about obtuse triangle click here:

brainly.com/question/29088041

#SPJ11

Answer: 640

Step-by-step explanation:

8 x 8 x 9 + 1/3 (8 x 8 x 3)

= 640  in cubic ft

The volume in cubic feet of space the tent occupies will be 640 cubic feet.

The steps are as follow:

Length = 8 ft.

Width = 8 ft.

height = 9 ft.

Length = width = 8 ft.

height = 3 ft.

volume of cuboid = length x width x height

volume of cuboid = 8 x 8 x 9

volume of cuboid = 576 cubic ft

volume of square pyramid = (length x length x height) / 3

volume of square pyramid = (8 x 8 x 3) / 3

volume of square pyramid = 64 cubic ft.

volume of cuboid + volume of square pyramid = 576 + 64

Total volume of space = 640 cubic feet

So the volume in cubic feet of space the tent occupies will be 640 cubic feet

Learn more about Cuboid and Square pyramid here:

https://brainly.com/question/10042135

#SPJ2

Answer:

Step-by-step explanation:

100. if you do each shaded square it'll be 5 by 5. 5 by 5 divided by 2 is 12.5. Times that by 8 is 100

Answer:

100

Step-by-step explanation:

You know that:

- Last weekend his trip took 10 hours when he drove to the mountains.

- When he drove home, the trip took 7 hours.

- His average rate was 18 miles per hour faster on the trip home.

By definition, the distance can be calculated with this formula:

Where "d" is distance, "r" is rate, and "t" is time.

Then, you can set up the following equation to represent his trip to the mountains ("d" is in miles):

And you can set up the following equation to represent his trip home ("d" is in miles):

To find the value of "r", you need to make both equations equal to each other and solve for "r". Then, you get:

Knowing the value of "r", you can substitute it into the second equation:

Finally, evaluating, you get (Remember that "d" is in miles)

Therefore, the answer is:

There are 168 positive integers that are there less than 1000 that are relatively prime to 100 with no common factor.

Prime numbers are numbers that have only two factors, that are, 1 and the number itself, and any whole number greater than 1 that is divisible only by 1 and itself, is defined as a prime number.

There are some properties of prime numbers:

To find the prime number, first, we have to find the factors of the given number. If the number of factors is more than two, then the number is not a prime number otherwise it is a prime number.

To know more about Prime numbers:

https://brainly.com/question/881160

#SPJ4

Answer: the answer to this is true

Given the following question:

The following inequality is graphed as followed:

.25

Step-by-step explanation:

probability can be difficult to answer because of the overlap with possibility and chances etc etc... lower level classes will typically take the answer .25 while higher-level classes may prefer the answer .5

Therefore, the probability of observing tails on the first flip and heads on the second flip is 0.25 or 1/4.

When flipping a fair coin twice, the outcome of each flip is independent of the other. The probability of observing tails on the first flip is 1/2 (0.5), and the probability of observing heads on the second flip is also 1/2 (0.5).

To find the probability of both events occurring, we multiply the probabilities together:

P(tails on first flip and heads on second flip) = P(tails on first flip) * P(heads on second flip) = 0.5 * 0.5 = 0.25.

To know more about probability,

https://brainly.com/question/15871908

#SPJ11

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

The solar flux density also referred to as the solar constant is the total amount of energy derived from the sun per unit area per given unit of time. It is considered to be equal to solar luminosity divided by the surface area of a given sphere that has a radius equivalent to the distance between the respective planet from the sun.

using the formula for finding the solar flux density,

solar flux density =  solar luminosity /(4 x π x distance between mercury and the sun)

solar flux density =  3.865 x \(10^{26}\) /(4 x π x ( 5.791 x \(10^{10}\)))

solar flux density = 9.12 x 10⁻³ W/m²

Therefore, the solar flux density for mercury after the calculation is 9.12 x 10⁻³ W/m².

To learn more about solar flux density,

https://brainly.com/question/14891737

#SPJ4

Answer:

I don't know sorry but I really want brainliest

Answer:

Step-by-step explanation:

(x+4) = -6

x + 4 + 6 = -6 + 6

x = 10

Despite being aware of his impending death, John Steinbeck was engaged in a project to build a house.

During the final stages of his life, John Steinbeck, the renowned American author, was involved in a project to build a house. Despite the knowledge of his terminal condition, he focused his efforts on this endeavor. The act of building a house can be seen as a significant undertaking that requires planning, coordination, and dedication.

While specific details about the house project are not provided, it can be inferred that Steinbeck's involvement in this venture reflected his enduring spirit and determination, even in the face of his impending mortality. Building a house is a symbol of creation, stability, and leaving a lasting legacy. It is a testament to Steinbeck's unwavering passion for life and his commitment to pursue meaningful endeavors until the very end.

Although Steinbeck's literary contributions are widely celebrated, his engagement in the house-building project during his final days showcases his multidimensional nature and his desire to leave a tangible mark on the world. It serves as a reminder of the resilience of the human spirit and the power of pursuing personal projects and dreams, even in challenging circumstances.

In conclusion, despite being aware of his impending death, John Steinbeck dedicated his time and energy to a project of building a house, showcasing his determination and commitment to leaving a lasting legacy.

To know more about John Steinbeck, visit :
brainly.com/question/30640420

Answer:

f(3) = 2

Step-by-step explanation:

substitute x = 3 into f(x)

f(3) = 3² - 4(3) + 5 = 9 - 12 + 5 = - 3 + 5 = - 2

Answer:

15

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

First we distribute (-2,3) into the equations so 2x+4y becomes 2(-2)+4(3) so that's -4+12 which is 8 making equation 1 correct.

Then x+2y becomes (-2)+2(3) which is 4 so the second equation is correct as well therefore the answer has to be C because of process of elimination

1350 miles did Mark's mom drive

What linear equation ?

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

Let , Mark's dad traveled x miles

so, Mark's mom traveled 2x

now,  They traveled a total of 2,025 miles.

∴ x + 2x = 2025 miles

⇒ 3x = 2025

⇒ x = 675 miles

so, Mark's mom drive 2 (675) = 1350 miles

Hence,  Mark's mom drive 1350 miles

To learn more about the linear equation here:

https://brainly.com/question/15401228?

#SPJ9