how to write a formula for this sequence -7,-3,1,5

Answer:

Step-by-step explanation:

Given expression:

Simplify by opening parenthesis and considering that i² = - 1:

\(\\ \tt\longmapsto (5+2i)-(9i^2-6i)\)

\(\\ \tt\longmapsto 5+2i-9i^2+6i\)

\(\\ \tt\longmapsto 5+8i+9\)

\(\\ \tt\longmapsto 8i+14\)

Answer: d. No, because the study was not taken from a random sample of scholarship athletes.

Step-by-step explanation:

Since the study only focuses on basketball players, the sample may not be representative of all scholarship athletes in the university. This can cause bias in the results and make it difficult to generalize the findings to the larger population of scholarship athletes. Therefore, the university administration should not fully trust the results of this study.

Answer:

C

Step-by-step explanation:

I chose C because it more detailed than the rest of the question. Everyone already knows how many months are in a year. What is for lunch today is just a normal question. How many students have a cell phone was not really detailed but it would have been different if they said "How many percentage of college students in math class uses cell phones.  

Hope this helps:)

The probability that he did not roll a prime number on either die is 1/4.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.

There are three numbers that are not prime: 1, 4, 6.

So the probability that he did not roll a prime number on either die is

1/2*1/2=1/4.

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The equation y + cos(y) = x + 1 defines a curve in the xy-plane. The curve represents the relationship between x and y values that satisfy the given equation.

The equation y + cos(y) = x + 1 is a transcendental equation, which means it does not have a simple algebraic solution. To study the curve defined by this equation, we can analyze it graphically or numerically.

By plotting points that satisfy the equation, we can observe the shape and behavior of the curve. The equation combines both algebraic terms (y and x) and trigonometric functions (cos(y)), resulting in a complex relationship between x and y values.

Therefore, the curve represents all the points (x, y) that satisfy the equation, forming a distinct pattern in the xy-plane.

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Answer:

Anything after x determines if it goes up since it's a positive 5 it's 5 units up

π/16 is the area enclosed by the curve r= sin(4θ)

The given curve is polar curve and hence the area of the polar curve is given by:

Let A be the area of the curve so,

A = \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)

where a and b is the boundary at which r=0

so after equation r=0

sin(4θ) =0

=> sin(4θ) =0

=> 4θ = 0,π

=> θ = 0, π/4

so a=0 , b= π/4

now  

  A =  \(\int\limits^b_a {\frac{1}{2}r^2 } \, d\theta\)   ------(i)

so   \(r^2\) = (sin(4θ))^2

=>   \(sin^2\)( 4θ )

ans we know that

cos(2α) = 1 -  \(2sin^2\)2 α

so     \(sin^2\)= (1- cos(8θ) )/2

putting the value of r in the equation (i) we get :-

A = \(\int\limits^b_a {\frac{1}{4} *(1-cos8\theta) } \, d\theta\)

=> 1/4*  \(\int\limits^b_a {(1-cos8\theta) } \, d\theta\)

here a=0 and b=π/4

after putting the value and solving the integral

A = π/16

so A is the area enclosed by r=sin(4θ) is π/16

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\(y = - 5x + n \\ \)

\( - 2 = - 5( - 1) + n \\ - 2 = 5 + n \\ n = - 7\)

\(y = - 5x - 7 \\ 5x + y = - 7\)

Answer:

○ \(5x + y = -7\)

Step-by-step explanation:

The formula for forming the equation of a line given a point and a slope is:

\(\boxed{y- y_1 = m(x - x_1)}\),

where:

m = slope (-5)

\(y_1\) = y-coordinate of point (-2)

\(x_1\) = x-coordinate of point (-1).

Substituting these values into the formula:

\(y - (-2) = -5(x - (-1))\)

⇒ \(y + 2 = -5(x + 1)\)

⇒ \(y + 2 = -5x -5\)      [expanding the brackets]

⇒ \(y = -5x -5 - 2\)      [subtracting 2 from both sides]

⇒ \(y = -5x - 7\)

⇒ \(5x + y = -7\)            [adding \(5x\) to both sides]

This means that the second option is correct.

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Answer:

120 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

That was some horse.

20*t + 30*t = 800           Each day he rode the same amount of time (t). On the first day, he rode a distance of 20*t. On the second day, he rode a distance of 30*t

50t = 800

t = 800/50

t = 16

Each day he rode 16 hours

Total time = 32 hours.

Answer:

32 hours

Step-by-step explanation:

To find the equation of the line tangent to the curve 2ey = x + y at the point (2, 0), we need to find the derivative of the curve and evaluate it at the given point.

First, we differentiate the equation 2ey = x + y with respect to x using the rules of calculus. Taking the derivative of ey with respect to x gives us ey(dy/dx) = 1 + dy/dx.

Simplifying the equation, we get dy/dx = (1 - ey)/(ey - 1).

Next, we substitute x = 2 and y = 0 into the derivative equation to find the slope of the tangent line at the point (2, 0). Plugging in these values gives us dy/dx = (1 - e0)/(e0 - 1) = 0.

Since the slope of the tangent line is 0, we know that the line is horizontal. Therefore, the equation of the tangent line in slope-intercept form is y = 0x + b, where b is the y-intercept.

Since the tangent line passes through the point (2, 0), we can substitute these coordinates into the equation to solve for the y-intercept. Thus, we have 0 = 0(2) + b, which gives us b = 0.

Therefore, the equation of the tangent line is y = 0x + 0, which simplifies to y = 0.

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Answer:

Step-by-step explanation:

250 gals divided by 4.09

answer:61.12

Answer:

c. Town B has a population of approximately 5,138.

Step-by-step explanation:

sorry its late

Based on the population density, town B has a population of approximately 5138; option C

Population density is the ratio of the total population of a place and the area of the place.

Population density of A = 54016/3.89 = 138885.86 per square miles

Population density of B = 138885.86 per square miles

Population of B = 138885.86 × 0.37 = 5138

Therefore, town B has a population of approximately 5138.

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The rule of the mean is

We will find the sum of the given numbers, then divide it by how many numbers

The given numbers are

4, 8, 14, 7, 0, 8, 2, 10, 3, 12

Their sum = 68

There are 10 numbers, then

To find the median we have to arrange the numbers from smallest to greatest, then take the middle number

0, 2, 3, 4, 7, 8, 8, 10, 12, 14

Since there are 10 numbers, then there are 2 numbers in the middle

Then we will find their average by adding them and dividing their sum by 2

The 2 middle numbers are the 5th and the 6th positions

The 2 middle numbers are 7 and 8

The answers are:

Sample mean = 6.8

The median = 7.5

In the last 10 presidential elections, the Democratic candidate has won six times in Michigan and four times in Ohio.

In the context of presidential elections, Michigan and Ohio are two key swing states that often play a crucial role in determining the outcome of the overall election. The statement indicates that in the last 10 presidential elections, the Democratic candidate emerged victorious six times in Michigan and four times in Ohio.

This information suggests that Michigan has been a more favorable state for the Democratic candidate compared to Ohio in recent election cycles. The Democratic candidate's success in Michigan for six out of the last 10 elections implies a higher level of support or electoral advantage in that state.

On the other hand, the Democratic candidate won four out of the last 10 elections in Ohio, indicating a relatively more balanced or competitive political landscape in that state. While the Democratic candidate has had some success in Ohio, the Republican candidate likely secured victories in the remaining six elections.

The varying electoral outcomes in these swing states highlight the importance of analyzing the political dynamics, demographics, and voting patterns within each state to understand the factors that contribute to election results. These results can provide insights into the electoral strategies, voter preferences, and overall political landscape of Michigan and Ohio.

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The exact values of cos(θ) and csc(θ) in terms of fractions, given that tan(θ) = 7/24 and θ is in Quadrant I, are: cos(θ) = 24/25, csc(θ) = 25/7

In Quadrant I, all trigonometric functions are positive. Given that tan(θ) = 7/24, we can find the values of cos(θ) and csc(θ) using the relationships between trigonometric functions.

Given that tan(θ) = 7/24 and θ is in Quadrant I:

We can start by finding the value of sin(θ) using the Pythagorean identity:

sin(θ) = √(1 - cos²(θ))

Since cos(θ) = 24/25 (as previously calculated),

sin(θ) = √(1 - (24/25)²)

= √(1 - 576/625)

= √(49/625)

= 7/25

Now that we have sin(θ) and cos(θ), we can find the remaining values:

cos(θ) = 24/25

csc(θ) = 1/sin(θ) = 1 / (7/25) = 25/7

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Answer:

0.040 "<" 0.207

Step-by-step explanation:

0.040

0.207

We can see that there is a 2 in 0.207 in the tenths spot, which automatically makes it larger than 0.040.

Write an inequality using the "<" sign:

0.040 < 0.207.

Hope this helps!

The curvature k(t) using the formula:

k(t) = 5/169

Given a space curve r(t) = (5 sin t) i + (5 cos t)j + 12tk.

We are to find T, N, and k for the space curve. The formula for the unit tangent vector T is given by

T(t) = (r'(t))/|r'(t)|.

To find the T, N, and k, we need to find T first and then differentiate T to find N and k. First, let's find r'(t).Differentiating r(t), we get:

r'(t) = 5cos(t)i - 5sin(t)j + 12k

Using this, we can find the unit tangent vector

T(t) = (r'(t))/|r'(t)| as:

T(t) = [(5cos(t))i - (5sin(t))j + 12k]/[(5^2cos^2(t) + 5^2sin^2(t) + 12^2)^0.5]T(t) = (5cos(t))i - (5sin(t))j + 12k/13

The unit tangent vector is:T(t) = ((5cos(t))/13)i - ((5sin(t))/13)j + (12/13)kTo find the normal vector N(t), we differentiate T(t) and divide by the magnitude of the derivative.

N(t) is the unit vector in the direction of this derivative. Mathematically:

N(t) = T'(t)/|T'(t)|Differentiating T(t),

Now, the unit normal vector N is given as N(t) = (-sin(t)/5)i - (cos(t)/5)j

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Answer:

a = 4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

which number multiplied by itself three times will give 64?

a * a * a = 64

Start by noticing that 32 is far too large.

32 * 32 * 32 = 32768

By the same reasoning, 21 is likely too big as well.

What about 8

8 * 8 * 8 is too big as well 8 * 8 is 64 and you still need to multiply by another 8.

So just by elimination, the answer is a

Answer:

C. Ferris wheel

Step-by-step explanation:

Circumference = pi x diameter

Take each of the entries from the diameter column and multiply by 3.14. They are all correct except for the Ferris wheel.

70.5 x 3.14 = 221.37

Answer:

48 cubic feet

Step-by-step explanation:

Answer:

The answer is 48ft

Step-by-step explanation:

Hope this helps

Answer: 1 left

Step-by-step explanation:

2-1 = 1

The probability of x being greater than 18 (p(x > 18)) is equal to the probability of x being less than 18 (p(x < 18)) in a normal distribution.

In a normal distribution, the probability of an event happening to the left of the mean (μ) is equal to the probability of the event happening to the right of the mean. This means that if we know the probability of x being less than 18 (p(x < 18)), we can use the property of symmetry to determine the probability of x being greater than 18 (p(x > 18)).

Since the probability distribution of x is symmetric around the mean, the area under the probability density function (PDF) to the left of the mean is the same as the area to the right of the mean. Therefore, we can say:

p(x > 18) = p(x < 18)

In other words, the probability of x being greater than 18 is equal to the probability of x being less than 18 in a normal distribution.

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Answer:

Yes.

Also, 1 + 1 = 2

Also:

Someday, I will beat him. He is revealing all of his secrets in his U-Toob videos, the fool, the moron.

Answer:

yes technoblade never dies

1+1=2

Answer:

the probability becomes less

Step-by-step explanation:

The perimeter of the rectangle is given as;

the breadth is also given as;

Recall that the formula for the perimeter of a restangle is;

where,

l is the length and b is the breadth

So, let us substitute the values of P and b into the formula;

Now, let us solve for l;

Therefore the length of the of the rectangle is 9cm

Answer:  33 gallons

Step-by-step explanation:

The water tank is a cube, with one dimension of x meters. Its volume will be x^3.

X^3 = 729m^3

x = 9 meters.  The cube has 4 side walls and a top and bottom, for a total of 6 interior walls.  Each wall has an area of x^2, or 81 m^2.

(6 walls)*(81 ft^2) = 486 m^2

One gallon of paint will cover 15 m^2.  The conversion factor is (1 gallon/15 m^2)

(486 m^2)*(1 gallon/15 m^2) = 32.4 gallons, rounded up to 33 gallons

uwu I see a lot of problems,

1. She can only type 3 words per minute

2. She can only type 3 words per minute

If speed is important and the array is large, the a. Binary search algorithm should be used. This algorithm is designed to efficiently search through sorted arrays by repeatedly dividing the search interval in half.

It has a time complexity of O(log n), which means that as the size of the array increases, the time it takes to search for an item will not increase at the same rate.
On the other hand, ascending bubble sort and other sorting algorithms such as selection sort and insertion sort have a time complexity of O(n^2), which means that as the size of the array increases, the time it takes to sort the array will increase exponentially. Therefore, these algorithms are not efficient for large arrays and should not be used if speed is important.
In summary, when dealing with large arrays and speed is important, binary search is the best algorithm to use for searching, while ascending bubble sort and other sorting algorithms with a time complexity of O(n^2) should be avoided.

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