Find the slope of the line:

Answer:100

Step-by-step explanation:

2!2

Answer:

n = 2

Step-by-step explanation:

(6n - 7) + (8n + 2) = 23 (Combine like terms)

14n  - 5 = 23 (Add 5 from both sides)

14n = 28 (divided 14 from both sides)

n = 2

The p-value is 0.0064

Given that a random sample of 30 days and finds that the site now has an average of 124,247 unique listeners per day. Let us first understand the t-test(a2:a31, b2:b31, 2, 3) formula:

t-test stands for student's t-test.

a2:a31 is the first range or dataset.

b2:b31 is the second range or dataset.

2 represents the type of test (i.e., two-sample equal variance).

3 represents the type of t-test (i.e., two-tailed).

Now, let's solve the problem at hand using the formula given by putting the values into the formula:

P-value = 0.0064

The p-value calculated using the t.test(a2:a31, b2:b31, 2, 3) formula is 0.0064.

Learn more about t-test:

https://brainly.com/question/32576462

#SPJ11

Answer:

x = \(\sqrt{30}\)

Step-by-step explanation:

Using the Altitude- on- Hypotenuse theorem

( leg of large Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )

x² = 3 × (3 + 7) = 3 × 10 = 30 ( take the square root of both sides )

x = \(\sqrt{30}\)

Answer:

1n

Step-by-step explanation:

I think this is correct.

The ∛35 will be plotted between 3 and 4, but closer to 3 on the number line.

In basic mathematics, real numbers are shown as a fine graphic of a graduated straight line which is called a number line.

We know that 35 lies between 27 and 64 , and 27 = 3³ and 64 = 4³.

Hence the ∛35 will be plotted between 3 and 4 and since 35 is closer to 27 than 64 , therefore it will be closer to 3.

To learn more about the number-line visit:

https://brainly.com/question/13425491

#SPJ4

The value of the expression is r'(t) = (4, 6t, 12t²), T(1) = (2/7, 3/7, 6/7), r''(t) = (0, 6, 24t), r'(t) ร r''(t) = 144t³.

We are given the vector-valued function r(t) = (4t, 3t², 4t³).

To find r'(t), we need to take the derivative of each component of r(t) with respect to t:

r'(t) = (d/dt)(4t), (d/dt)(3t²), (d/dt)(4t³)

r'(t) = (4, 6t, 12t²)

To find T(1), we need to evaluate r'(t) at t = 1 and then divide by the magnitude of r'(1):

r'(1) = (4, 6(1), 12(1)²) = (4, 6, 12)

| r'(1) | = sqrt(4² + 6² + 12²) = sqrt(196) = 14

T(1) = r'(1) / | r'(1) | = (4/14, 6/14, 12/14) = (2/7, 3/7, 6/7)

To find r''(t), we need to take the derivative of each component of r'(t) with respect to t:

r''(t) = (d/dt)(4), (d/dt)(6t), (d/dt)(12t²)

r''(t) = (0, 6, 24t)

Finally, to find r'(t) ร r''(t), we need to take the dot product of r'(t) and r''(t):

r'(t) ร r''(t) = (4, 6t, 12t²) ร (0, 6, 24t)

r'(t) ร r''(t) = 0 + 6t(6t) + 12t²(24t)

r'(t) ร r''(t) = 144t³

Therefore, we have:

r'(t) = (4, 6t, 12t²)

T(1) = (2/7, 3/7, 6/7)

r''(t) = (0, 6, 24t)

r'(t) ร r''(t) = 144t³

Learn more about expression here

https://brainly.com/question/1859113

#SPJ11

The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal, or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR .

r = n[(A/P)1/nt - 1]

r = 1 × [(38,000.00/22,000.00)1/(1)(9) - 1]

r = 0.0909090

Then convert r to R as a percentage

R = r × 100

R = 0.0909090 × 100

R = 9.0909 %/year

The interest rate required to get a total amount of $38,000.00 from compound interest on a principal of $22,000.00 compounded 1 times per year over 9 years is 9.0909 % per year.

To learn more about compound interest here:

brainly.com/question/24274034

#SPJ1

Answer: 6.1

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

Know more about access points here,

https://brainly.com/question/11103493

#SPJ11

A normal distribution table is a table that shows the probabilities of different outcomes for a normal distribution.

A normal distribution is a type of probability distribution that is often used to model data in statistics and other fields. It is also called Gaussian Distribution or Bell Curve because of its shape.

A normal distribution is defined by its mean (average) and standard deviation. These values determine the shape and position of the normal distribution curve.

The curve is symmetric, meaning that the left and right sides are mirror images of each other.

The peak of the curve is at the mean, and as you move further away from the mean in either direction, the probability of observing a value decreases.

The normal distribution table gives the probability of observing a value that is less than a certain number (also known as the cumulative probability or the area under the curve).

The table is usually divided into columns, with one column listing the values of the standard normal variable (also known as the Z-score) and another column giving the corresponding probability.

to know more about normal distribution table refer here

https://brainly.com/question/29291264#

#SPJ11

I will give two solutions, one where everything is cubed and one where just the 3 is cubed, because I don't know what you meant.

Just the 3 is cubed solution(Which I think is correct because it has a nicer answer):

Answer:

\(13/2\)

Step-by-step explanation:

We have that \(2x+3^3=40\).

We can subtract \(3^3=27\) from both sides of the equation to get \(2x=13\).

We can then divide by \(2\) to get \(x=13/2\).

So, \(\boxed{x=13/2}\) and we're done!

Everything is cubed solution:

Answer:

\(\sqrt[3]{5}-3/2\)

Step-by-step explanation:

We have that \((2x+3)^3=40\).

We can take the cube root of both sides to get \(2x+3=\sqrt[3]{40}\).

Note that \(40=2^3*5\), so \(\sqrt[3]{40}=\sqrt[3]{2^3*5}=2\sqrt[3]{5}\).

So, we want to solve \(2x+3=2\sqrt[3]{5}\).

We can subtract \(3\) from both sides to get \(2x=2\sqrt[3]{5}-3\).

We can then divide both sides by \(2\) to get \(x=\sqrt[3]{5}-3/2\).

So, \(\boxed{x=\sqrt[3]{5}-3/2}\) and we're done!

Answer:

25！=1*2*3*4*5*6*...23*24*25

26= 2*13

28=2*14or 4*7

36=2*18or 3*12 or 4*9

56=7*8

All products above are inside 25! So they are all factors of 25!

But 58=2*29 and 29 is not inside 25! so it's not a factor of 25!

Step-by-step explanation:

hope it helped

Answer:

n=25

Step-by-step explanation:

Let n be the greatest possible integer Jo could be thinking of. We know n<100 and n=8k-1=7l-3 for some positive integers k and l. From this, we see that 7l=8k+2=2(4k+1), so $7l$ is a multiple of 14. List some multiples of 14, in decreasing order: 112, 98, 84, 70, .... Since n<100, 112 is too large, but 98 works: \($7k=98\Rightarrow n=98-3=95=8(12)-1$\). Thus,\($n=\boxed{95}$\).

Hope this helped! :)

Answer:

\((x-1)^2+(y-6)^2=16\)

Step-by-step explanation:

The equation of a circle is given by \((x-h)^2+(y-k)^2=r^2\), where \((h,k)\) is the center of the circle and \(r\) is the radius of the circle.

From the diagram, we can find the following:

Thus, we have:

\((x-1)^2+(y-6)^2=4^2,\\\boxed{(x-1)^2+(y-6)^2=16}\)

Answer:

(x-1)^2 + (y-6)^2 = 16

Step-by-step explanation:

center = (1,6)

radius = 4

equation of a circle (x-h)^2+(y-k)^2=r^2

(x-1)^2 + (y-6)^2 = 16

The volume of the solid generated when the right triangle below is rotated about side is 564.2.

The volume will be calculated by using the formula:

= 1/3πr²h

where, r = 7

h = 11

Therefore, the volume will be:

= 1/3πr²h

= 1/3 × 3.14 × 7² × 11

= 564.2

Learn more about volume on:

brainly.com/question/1972490

#SPJ1

Answer:

3.75 in decimal form.

Step-by-step explanation:

Answer:

  $5535.00

Step-by-step explanation:

You want the cost to produce 10 more units if 8 are being produced and the marginal cost function is c'(x) = 0.375x² -x +500.

The cost is the integral of the marginal cost. If we want 10 more units than the 8 being produced, the total cost for those units will be the definite integral of the marginal cost function from 8 to (8+10) = 18.

The attachment shows that integral to have a value of 5535.

The cost to produce 10 more units is $5535.00.

__

Additional comment

Many graphing calculators can do the numerical integration for you. The integral of the function is ...

  C(x) = x³/8 -x²/2 +500x

The cost of interest is C(18) -C(8).

Answer:

n=5

Step-by-step explanation: happy to hlp

The maximum number of guesses necessary to guess correctly a given number between the numbers n and m can be determined by using a binary search algorithm.

In a binary search, you repeatedly divide the search space in half based on whether the target number is greater or smaller than the midpoint. This process continues until the target number is found.

The maximum number of guesses required can be calculated by determining the number of times you need to divide the search space in half until you narrow down to the correct number. This can be expressed as the logarithm (base 2) of the size of the search space.

If the size of the search space (m - n + 1) is a power of 2, the maximum number of guesses will be log2(m - n + 1). Otherwise, if the size of the search space is not a power of 2, the maximum number of guesses will be ⌈log2(m - n + 1)⌉.

Note that this assumes a worst-case scenario where the target number is at the most distant end of the search space. In practice, the actual number of guesses required may be lower if the target number is found earlier during the search process.

To know more about binary search algorithm refer here:

https://brainly.com/question/29740121

#SPJ11

The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.

Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:

x² + (LV/2)² = DV²/4

y² + (OE/2)² = LE²/4

Simplifying each equation and substituting the given values, we get:

x² + (LV/2)² = 81/4

y² + (OE/2)² = 225/4

We also know that the diagonals bisect each other, so we can set up another equation:

LV/2 + OE/2 = LO = VE

Substituting the given value for LE, we get:

LV/2 + OE/2 = 15

Solving this equation for one of the variables, we get:

LV = 30 - OE

Substituting this expression into the first equation above, we get:

x² + ((30 - OE)/2)² = 81/4

Simplifying and rearranging, we get:

OE² - 60OE + 675 = 0

Using the quadratic formula, we get:

OE = (60 ± √(3600 - 2700)) / 2

OE = 15 or 45

If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:

x² + 7.5² = 81/4

y² + 7.5² = 225/4

Solving these equations, we get:

x = 3√7

y = 9/√7

If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:

LV = OE = 15

x = 3√7

y = 9/√7

Learn more about Pythagorean theorem here: brainly.com/question/14930619

#SPJ4

Complete question:

LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.

Answer:

C. 36

Step-by-step explanation:

We know that 1/6 of a pitcher serves a person, meaning that one pitcher can serve 6people; since we have 6 pitchers, just multiply 6 by 6 to get the total amount.

6*6=36

A minimum sample size of 121 individuals needs to be surveyed, ensuring a rounded-up value to estimate the proportion of non-graduates within the 25 to 30 age group with a 10% margin of error and 90% confidence.

To determine the sample size required to estimate the proportion of non-graduates within the 25 to 30 age group with a certain level of confidence and margin of error, we can use the formula:

n = (Z^2 * p * (1 - p)) / E^2

Where:

n is the required sample size

Z is the Z-score corresponding to the desired confidence level (90% confidence corresponds to a Z-score of approximately 1.645)

p is the estimated proportion of non-graduates (0.21 based on the information provided)

E is the desired margin of error (10% or 0.10)

Substituting the values into the formula:

n = (1.645^2 * 0.21 * (1 - 0.21)) / 0.10^2

n ≈ 120.41

Rounding up to the nearest integer, the required sample size is 121.

Therefore, you would need to survey at least 121 individuals in the 25 to 30 age group to estimate the proportion of non-graduates within 10% margin of error with 90% confidence.

To know more about sample size refer here:

https://brainly.com/question/30100088#

#SPJ11

Answer:

\(Lengths:8m and 11m\)

Step-by-step explanation:

Area of a triangle is \(\frac{1}{2}bh\)

\(44=\frac{1}{2} (x+3)(x)\\\)

\(44=\frac{1}{2} (x_{2 +3x)\)

\(88=x^{2} +3x\)

\(x^{2} +3x-88=0\)

\((x+11)(x-8)=0\)

\(x=8\)

\(Lengths:8m and 11m\)

Answer: 7. 50%         8. 30%         9. 60%          10. 25%

Step-by-step explanation: That is the answer for the first page ohh and can you type the other page so it is easier to solve?

Answer:

81pi

Step-by-step explanation:

pi3^2=9pi

9pi * 9 = 81pi

Answer:

254.34 un³

Step-by-step explanation:

π × 3² × 9

π × 9 × 9

3.14 × 9 × 9

254.34

Answer:

\(\displaystyle 9\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

\(\displaystyle 8 + (7 + 1)^2 \div 4 \cdot (\frac{1}{2})^4\)

Step 2: Evaluate

Answer:

\(\displaystyle x = \frac{\pi}{4} + k\, \pi\) for integer \(k\) (including negative numbers.)

Step-by-step explanation:

Pythagorean Identity: \(\sin^{2}(x) + \cos^{2}(x) = 1\). Equivalently, \(\cos^{2}(x) = 1 - \sin^{2}(x)\).

Rewrite the original equation and apply this substitution to eliminate \(\cos(x)\):

\(\displaystyle \sin^{6}(x) + \cos^{6}(x) = \frac{1}{4}\).

\(\displaystyle (\sin^{2}(x))^{3} + (\cos^{2}(x))^{3} = \frac{1}{4}\).

\(\displaystyle (\sin^{2}(x))^{3} + (1 - \sin^{2}(x))^{3} = \frac{1}{4}\).

Let \(y = \sin(x)\) (\(-1 \le y \le 1\).) The original equation is equivalent to the following equation about \(y\):

\(\displaystyle y^{6} + (1 - y^{2})^{3} = \frac{1}{4}\).

Expand the cubic binomial in the equation:

\(\displaystyle y^{6} + 1 - 3\, y^{2} + 3\, (y^{2})^{2} - (y^{2})^{3} = \frac{1}{4}\).

\(\displaystyle y^{6} + 1 - 3\, y^{2} + 3\, y^{4} - y^{6} = \frac{1}{4}\).

Simplify to obtain:

\(\displaystyle 1 - 3\, y^{2} + 3\, y^{4} = \frac{1}{4}\).

Rearrange and simplify:

\(12\, y^{4} - 12\, y^{2} + 3 = 0\).

\(3\, (2\, y^{2} - 1)^{2} = 0\).

\(2\, y^{2} - 1 = 0\).

\(\displaystyle y^{2} - \frac{1}{2} = 0\).

Solve for \(y\):

Either \(\displaystyle y = \frac{1}{\sqrt{2}}\) or \(\displaystyle y = -\frac{1}{\sqrt{2}}\).

If \(\displaystyle \sin(x) = y = \frac{1}{\sqrt{2}}\), then \(\displaystyle x = \frac{\pi}{4} + 2\, k\,\pi\) for all \(k\in \mathbb{Z}\).

On the other hand, if \(\displaystyle \sin(x) = y = \frac{1}{\sqrt{2}}\), then \(\displaystyle x = \frac{3\, \pi}{4} + 2\, k\,\pi = \frac{\pi}{4} + (2\, k + 1) \, \pi\) for all \(k\in \mathbb{Z}\).

Combine both situations to obtain:

\(\displaystyle x = \frac{\pi}{4} + 2\, k\, \pi\) for all \(k \in \mathbb{Z}\).

The answer of the given question based on the pyramid is , option (b) No, the rotation of the pyramid is forming circular bases in parallel planes.

A frustum is a three-dimensional geometric shape that is formed by slicing a cone (or pyramid) with a plane parallel to its base and removing the smaller, similar shape from the top. In other words, a frustum is the portion of a cone (or pyramid) that remains after its top part has been cut off by a plane parallel to its base.

The correct answer is (b) No, the rotation of the pyramid is forming circular bases in parallel planes.

When a pyramid is rotated around its center of rotation, it forms a three-dimensional solid with circular bases in parallel planes. This solid is known as a frustum or truncated pyramid. However, the frustum is not a spherical figure, as it does not have a round or curved surface like a sphere. Instead, it has flat, congruent faces in the shape of rectangles and trapezoids.

Option (c) is also incorrect as it describes a regular pyramid, which has congruent rectangular faces but does not involve rotation. Option (d) describes a sphere, which is not related to the rotation of a pyramid.

To know more about Trapezoid visit:

https://brainly.com/question/29642337

#SPJ9

Answer: Option (b) No, the rotation of the pyramid is producing circular bases on parallel planes. The offered question is based on a pyramid.

A pyramid is a 3D polyhedron having at least three triangle-shaped sides connecting above it and a foundation formed of polygons. Each of the three sides are often referred to as faces, and the point above the base has been referred to as the apex. A pyramid is created by connecting the base and apex. The triangular sides are often known as lateral faces to separate them from the base. The triangular face of a pyramid is formed by the connection of each base edge to the the top.

The correct response is (b) No, the pyramid's rotation is creating parallel circular bases.

A pyramid produces a three-dimensional solid with circular bases on parallel planes when it is rotated about its centre of rotation. The term "frustum" or "truncated pyramid" refers to this solid. The frustum does not, however, have a round or curved surface like a sphere, hence it is not a spherical figure. It has flat, symmetrical faces in the form of rectangles and trapezoids instead.

To know more about pyramid, visit:

https://brainly.com/question/218706

#SPJ9