Solve for x in the partial spiral below.

Solve For X In The Partial Spiral Below.

Answers

Answer 1

Answer:

\( x = \sqrt 5\)

Step-by-step explanation:

On solving by Pythagoras theorem:

(Going in counterclockwise direction)

For bottom most triangle :

Length of Hypotenuse \( = \sqrt {1^2 +1^2} =\sqrt {1+1}=\sqrt 2\)

The for second triangle :

Length of Hypotenuse \( = \sqrt {(\sqrt 2) ^2 +1^2} =\sqrt {2+1}=\sqrt 3\)

The for third triangle :

Length of Hypotenuse \( = \sqrt {(\sqrt 3) ^2 +1^2} =\sqrt {3+1}=\sqrt 4 = 2\)

The for fourth triangle :

x \( = \sqrt {(2) ^2 +1^2} =\sqrt {4+1}=\sqrt 5 \)

Answer 2

The x value for the given partial spiral is √5 units.

We need to solve for x in the partial spiral given.

What is Pythagora's theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

From the right triangle 1:

Let the hypotenuse be a.

So, a²=1²+1²

⇒a=√2

From the right triangle 2:

Let the hypotenuse be b.

So, b²=(√2)²+1²

⇒b=√3

From the right triangle 3:

Let the hypotenuse be c.

So, c²=(√3)²+1²

⇒b=√4=2

From the right triangle 2:

The hypotenuse=x

So, x²=2²+1²

⇒x=√5

Therefore, the x value for the given partial spiral is √5 units.

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Related Questions

The admission committee at a university was interested in the average SAT score of the recent high school graduates who had applied to that university. Since the number of applicants was very large, the committee chose 50 applicants randomly and evaluated the average of the 50 scores. It then passed that information to a statistician for further investigation.
Which of the following is the population in this scenario?
(A) All recent applicants Incorrect No. The data under investigation is the SAT scores from recent applicants, not the applicants themselves.
(B) The average of SAT scores
(C) 50 randomly selected SAT scores
(D) The SAT scores from all recent applicants

Answers

The population in this scenario is option D) The SAT scores from all recent applicants.

The admission committee at the university was interested in the average SAT score of the recent high school graduates who had applied to the university. Therefore, the population of interest is the SAT scores of all recent applicants. However, since the number of applicants was very large, the committee chose to sample 50 applicants randomly and evaluate the average of the 50 scores. This sample was used to estimate the population mean SAT score. It is important to note that the sample of 50 applicants is not the population in this scenario. Instead, it is a subset of the population that was selected to estimate the population mean. The statistician will use this sample mean to make inferences about the population mean SAT score.

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Construct a trapezium PQRS, in which PQ||SR, PQ=6cm, PS= 6.5 and Angle PQR = 60

Answers

Answer:

I don't mean too not give you the answer but how can I ask a question?

Jill wants to have ride at least 144 miles on her bike. Her riding speed is 9 miles per hour. Which inequality(s) represents how many h hours she needs to ride?

Answers

Hey there!

Let's make an equation

=> 9h = 144

{ Make h the subject of formula}

=> 9h = 144

=> 9h/9 = 144/9

=> h = 144/9

=> h = 16

-k+_(k+1)=2k please help

Answers

The value of k in the equation - k + (k + 1) = 2k is 1/2

How to determine the solution to the equation?

In this question, the equation is given as

-k+_(k+1)=2k

To start with, we need to express the equation properly

So, we have the following representation

- k + (k + 1) = 2k

Solving further, we remove the brackets in the above representation

So, we have

- k + k + 1 = 2k

Evaluate the like terms

1 = 2k

Divide both sides by 2

k = 1/2

Hence, the solution is 1/2

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What is the surface area

What is the surface area

Answers

Answer:

118

Step-by-step explanation:

(5*2)*2 = 20

(7*2)*2 = 28

(7*5)*2 = 70

70 + 48 = 118

Answer:

118

Step-by-step explanation:

SA = 2H(L + W) + 2LW

SA = 2(2)(7 + 5) + 2(7)(5)

SA = 48 + 70

SA = 118

The list below shows all of the possible outcomes for flipping four coins.


HHHH

HHHT

HHTH

HHTT

HTHH

HTHT

HTTH

HTTT

THHH

THHT

THTH

THTT

TTHH

TTHT

TTTH

TTTT


What is the probability of getting the same number of heads and tails?

StartFraction 1 over 8 EndFraction

One-fourth

StartFraction 3 over 8 EndFraction

Three-fourths


40 points

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

C: 3/8

Step-by-step explanation:

edg2021

There are a total of 16 outcomes, and 6 of them have equal heads and tails. Simplify and its 3/8

Help me please , I’ll mark brainliest

Help me please , Ill mark brainliest

Answers

Answer:

8 sqft/40sqft

Step-by-step explanation:

12 * 4 = 48

2 * 3 = 6

1 * 2 = 2

48 - 6 - 2 = 40

If you're looking for the area of the green, it's 40sqft

If you're looking for the area of the brown boxes inside the green, it's 8sqft

Hope this helps and good luck!

Solve the system of linear equations:

y= -2x - 4
y= 2x - 4

Answers

Answer:

(0, -4)

Step-by-step explanation:

We can just substitute the y's like this: 2x - 4 = -2x - 4

Move like terms to one side by adding 2x to both sides

2x - 4 = -2x - 4

+ 2x      + 2x

4x - 4 = - 4

Add 4 to both sides

4x - 4 = - 4

    + 4   + 4

4x = 0

Divide both sides by 4

4x/4 = 0/4

x = 0

Plug in the new x into one of the original equations

y = 2(0) - 4

y = 0 - 4

y = - 4

1/2 minus (1/8+1/8) I need help can somebody give me advice on this

Answers

Answer: 38

Step-by-step explanation:

Subtract 1/8 from 1/2

12 - 18 is 38.

Steps for subtracting fractions

Find the least common denominator or LCM of the two denominators:

LCM of 2 and 8 is 8

Next, find the equivalent fraction of both fractional numbers with denominator 8

For the 1st fraction, since 2 × 4 = 8,

12 = 1 × 42 × 4 = 48

Likewise, for the 2nd fraction, since 8 × 1 = 8,

18 = 1 × 18 × 1 = 18

Subtract the two like fractions:

48 - 18 = 4 - 18 = 38

Add 1+1=2

Cancel CF which is 2

Now you will be with

1/2 - 1/4

Calculate


Solution

1/4

a random sample of packages delivered by a company were tracked if they were delayed or on time and whether they were sent in-state or out-of-state. the relative frequency table displays the data gathered. in-state out-of-state total delayed 4% 36% 40% on time 39% 21% 60% total 43% 57% 100% based on the given information, what is the likelihood of a package being sent out-of-state, given that it was on time? 53% 37% 35% 21%

Answers

Answer:36

Step-by-step explanation:

If 5 adult movie tickets cost $25, how much do 11 tickets cost?

Answers

Answer:

$55

Step-by-step explanation:

5 tickets = $25

1 ticket = $5 (divide by 5 on both sides)

multiply by 11

11 tickets = 5 ×11

11 tickets = $55

Is PQRST a scaled copy of ABCDE ? Explain reasoning

Answers

Answer: no

Step-by-step explanation:

a dance competition on television had five elimination rounds. after each elimination, only one-fourth of the contestants were sent to the next round. the table below shows the number of contestants in each round of the competition: x 1 2 3 4 5 f(x) 512 128 32 8 2 compute the average rate of change of f(x) from x

Answers

The number of participants changed at -60 contestants from the second to the fourth round

The rate at which one value in a function changes in proportion to another is known as the average rate of change. The slope of a graphed function is typically calculated using the average rate of change.

When x=2, f(x) = 128

when x = 4, f(x) = 8

Rate of change:

8-128/4-2 = -60

As the tournament draws closer to the final, the number of competitors is decreasing at this fluctuating rate.

The average rate at which the number of participants changed from the second round to the fourth round was -60 contestants per round.

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suppose that the xis are independent with each one having a normal distribution. what is the probability that the total volume shipped is more than 100,000 ft3 ?

Answers

We can use the properties of the normal distribution to calculate the probability that the total volume shipped is more than 100,000 ft3.

Assuming that the xis are independent with each one having a normal distribution, the total volume shipped can be modeled as the sum of these individual normal distributions. Since the sum of independent normal distributions is also a normal distribution, we can use the properties of the normal distribution to calculate the probability that the total volume shipped is more than 100,000 ft3.

To do this, we need to find the mean and variance of the sum of the xis. The mean of the sum is simply the sum of the means of the individual distributions, while the variance of the sum is the sum of the variances of the individual distributions.

Once we have the mean and variance of the sum, we can standardize the distribution and use a normal probability table or calculator to find the probability that the total volume shipped is more than 100,000 ft3.

In general, the probability of the sum of independent normal distributions exceeding a certain value depends on the number of distributions being summed, their means and variances, and the level of significance chosen for the test. Therefore, we need to specify these parameters to calculate the desired probability.


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On a​ map, 1 inch equals 20 miles. Two cities are 3 inches apart on the map. What is the actual distance between the​ cities? whats the answer?

Answers

Answer:

60 yan po Sana makatutulong

Round 22.963 to the nearest TENTHS

Answers

Answer:

23.0

Step-by-step explanation:

9 is closer to 10 than to 0. So we add + 1 to the integer behind it (22 + 1 = 23).

Answer:

23.0

Step-by-step explanation:

with regard to percentile points what is the median also known as?

Answers

The median is the middle value of a set of data and is also known as the 50th percentile point.

The median is also known as the 50th percentile point. This means that 50% of the data is below the median, and 50% of the data is above the median. The formula for calculating the median is to take the number of data points, add them up, and divide by two. For example, if there are 10 data points, the median would be the average of the 5th and 6th data points. In this case, if the 5th data point is 2 and the 6th data point is 4, the median would be 3 (2+4=6, 6/2=3).

In summary, the median is the middle value of a set of data and can be found by taking the average of the two middle values. It is also known as the 50th percentile point, meaning that 50% of the data is below the median value, and 50% of the data is above the median value.

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6.) Solve for x :

7.) solve for Z: 3/4z + 2=8

Answers

Z=8






20 characters use socratic for math problems

What is the area with the length of 5/8 ft and a width of 4/9 ft

Answers

Answer:

\(area \: = length \times width \\ = \frac{5}{8} \times \frac{4}{9} \\ = \frac{20}{72} \\ = \frac{10}{36} {ft}^{2} \)

Hope this helps youCan I have the brainliest please?

this extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the extreme values of the function subject to the given constraint. f(x, y, z)

Answers

To find the extreme values of a function subject to a given constraint, Lagrange multipliers can be used. The method involves finding the critical points of the function and the constraint equation, and then solving a system of equations using the Lagrange multiplier. The resulting solutions will give the maximum and minimum values of the function subject to the given constraint.

Suppose we have a function f(x,y,z) and a constraint equation g(x,y,z) = 0. We can set up the Lagrangian function L(x,y,z,λ) = f(x,y,z) - λg(x,y,z) and then find the partial derivatives of L concerning x, y, z, and λ. Setting these partial derivatives to zero and solving the resulting system of equations will give us the critical points and the corresponding values of λ.

Once we have the critical points and values of λ, we can evaluate the function f(x,y,z) at these points to find the maximum and minimum values subject to the given constraint. It is important to note that not all critical points will necessarily correspond to maximum or minimum values, so we must evaluate the function at each point to determine which points give the extreme values.

Overall, Lagrange multipliers provide a powerful method for finding the extreme values of a function subject to a given constraint. The method involves setting up a Lagrangian function, finding the critical points and values of λ, and then evaluating the function at these points to find the maximum and minimum values. This approach can be applied to a wide range of optimization problems in mathematics, physics, and engineering.

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the coefficient of determination: group of answer choices indicates whether the correlation coefficient is significant. is a measure of the amount of variability in one variable that is shared or accounted for by the other. is the square root of the variance. is the square root of the correlation coefficient.

Answers

The coefficient of determination is not the square root of the correlation coefficient.

The coefficient of determination refers to the proportion of the variance in the dependent variable that is accounted for by the independent variable.

It is the square of the correlation coefficient and ranges between 0 and 1, with 0 indicating no correlation, while 1

indicates a perfect correlation.

The coefficient of determination is a measure of how much variation exists between two variables, with a higher value

indicating a stronger relationship between the two variables.

Additionally, the group of answer choices can indicate whether the correlation coefficient is significant, and the

coefficient of determination is not the square root of the correlation coefficient.

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Hermes says that the opposite of 9 is 9 since
each number is 9 units from zero on the number line. Is Hermes correct?
Explain why or why not

Answers

Answer: Hermès is incorrect. The opposite of 9 is -9.


Explanation: In this question, Hermès gives an incorrect answer, claiming that the opposite of 9 is also 9. To find the correct answer, let’s first look at his reasoning. He was right in one thing- to find the opposite of a number, we need to find one that shares the same distance from zero. However, he was wrong in believing that the number had to be exactly the same. To find the opposite number, find the same distance from zero in the opposite direction. In this case, the distance from zero is 9. Go in the opposite direction from zero, 9 times. This would give you an answer of -9. Because of this, the opposite of 9 is -9.


Hope this helps! Comment below for more questions.

Hermes is incorrect. The opposite of 9 is -9 if Hermes says that the opposite of 9 is 9 since each number is 9 units from zero on the number line.

What is a number line?

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

To find the same distance away from zero in the opposite direction to determine the opposite number.

The distance from zero in this situation is 9. nine times in the opposite direction from zero.

Thus, Hermes is incorrect. The opposite of 9 is -9 if Hermes says that the opposite of 9 is 9 since each number is 9 units from zero on the number line.

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Thirty-four percent of U.S. adults have very little confidence in newspapers. You randomly select eight U.S. adults. Find the probability that the number of U.S. adults who have very little confidence in newspapers is (A) exactly six and (B) less than five.

Answers

A) To find the probability that exactly six U.S. adults out of eight have very little confidence in newspapers, we can use the binomial probability formula. The probability of success (having very little confidence) is 34% or 0.34, and the probability of failure (having confidence) is 1 - 0.34 = 0.66. Since the sample size is small, we can calculate the probability for each outcome individually and sum them up. The probability of exactly six U.S. adults having very little confidence in newspapers is:

P(X = 6) = C(8, 6) * (0.34)^6 * (0.66)^2

where C(8, 6) represents the number of combinations of selecting 6 out of 8 adults.

B) To find the probability of less than five U.S. adults having very little confidence in newspapers, we can sum the individual probabilities of having 0, 1, 2, 3, or 4 adults with very little confidence:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

Calculate each probability using the binomial probability formula as described above and then sum them up.

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There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?

Answers

The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.

To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.

Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.

To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.

Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.

Therefore, the slope of the line that divides the region into two equal areas is 5.

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The term "comparison group" in research refers to the group of patients in a:a. nonrandom sample who do not receive a treatment. b. nonrandom sample who receive a treatment. c. random sample who do not receive a treatment. d. random sample who receive a treatment.

Answers

The correct option is:

a. nonrandom sample who do not receive a treatment.

What is comparison group?

How the treatment group would have performed in the absence of the intervention is roughly represented by the comparison group. The strength of the evaluation can increase with the comparison group's similarity to the treatment group.

The term "comparison group" in research refers to the group of patients who do not receive a treatment.

Therefore, the correct option is:

a. nonrandom sample who do not receive a treatment.

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Find the continuous-time Fourier transform (CTFT) of the following function: x(t)=δ(t+
2
1

)+δ(t−
2
1

). For full marks, please leave your answer in a "nice" form. That is, if you end up with the sum of two or more terms, try to group them into a function that is well-known

Answers

The  CTFT of the function  x(t) = δ(t + 2/ω) + δ(t - 2/ω) is: X(ω) = e^(-2j) + e^(2j)

To find the continuous-time Fourier transform (CTFT) of the function x(t) = δ(t + 2/ω) + δ(t - 2/ω), where δ(t) is the Dirac delta function, we can use the properties of the Fourier transform.

The Fourier transform of a Dirac delta function is defined as:

F{δ(t)} = 1

Using the time-shifting property of the Fourier transform, we have:

F{δ(t - a)} = e^(-jωa)

Applying the time-shifting property to each term of the function x(t), we get:

F{δ(t + 2/ω)} = e^(-jω(2/ω)) = e^(-2j)

F{δ(t - 2/ω)} = e^(jω(2/ω)) = e^(2j)

Since the Fourier transform is a linear operation, we can sum the individual transforms:

F{x(t)} = F{δ(t + 2/ω)} + F{δ(t - 2/ω)} = e^(-2j) + e^(2j)

Therefore, the CTFT of the function  x(t) = δ(t + 2/ω) + δ(t - 2/ω) is X(ω) = e^(-2j) + e^(2j)

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A local animal shelter has 600 cats and dogs. There are 2 times more cats than dogs. Let x represent the number of cats and let y represent the number of dogs. Which system of equations represents this situation?

Answers

Answer:

2x + y = 600

Step-by-step explanation

Answer:

1,200x + 600y or 2x + y= 600

Step-by-step explanation:

knowing that there are 600 cats and 2 times the amount of cats we will have 1,200 cats which is 1,200x + 600y

Franco and Marcia getting high speed Internet access at the same time. Francos provider charges $60 for installation and $42.95 per month. Marshals provider has free installation and charges $57.95 per month. After how many months will Franco and Marsha have paid the same amount for high-speed Internet service?

Answers

Answer:

4 months

Step-by-step explanation:

Franco's provider = 60 + 42.95x

Marshal's provider = 57.95x

Where,

x = number of months

Equate both charges

Franco's provider = Marshal's provider

60 + 42.95x = 57.95x

Subtract 42.95x From both sides

60 + 42.95x - 42.95x = 57.95x - 42.95x

60 = 15x

Divide both sides by 15

60 / 15 = 15x / 15

4 = x

x = 4 Months

Franco and Marshal would have paid the same amount for high-speed Internet service after 4 months

can someone please help mee

can someone please help mee

Answers

\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:Domain : \fbox{-3}\leqslant x \leqslant \fbox{-1}\)

\(\qquad \tt \rightarrow \:Range :\:\:\fbox{-4}\leqslant x \leqslant \fbox{-3}\)

____________________________________

\( \large \tt Solution \: : \)

Domain = All possible values of x for which f(x) is defined

[ generally the extension of function in x - direction ]

Range = All possible values of f(x)

[ generally the extension of function in y - direction ]

\( \large\textsf{For the given graph : } \)

\(\qquad \tt \rightarrow \: domain : \fbox{-3}\leqslant x \leqslant \fbox{-1}\)

\(\qquad \tt \rightarrow \: range : \:\:\fbox{-4}\leqslant x \leqslant \fbox{-3}\)

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Fill in each box below with an integer or a reduced fraction. (a) log₂ 4 = 2 can be written in the form 2^A = B where A = ____ and B = _____
(b) log_5 25= 2 can be written in the form 5^C = D where C = ____ and D = _____

Answers

Given: (a) log₂ 4 = 2 and (b) log₅ 25 = 2.To find the values of A, B, C, and D. We know that the logarithm is defined as the inverse of the exponential function.

We have: (a) log₂ 4 = 2 can be written in the form \($2^A = B$\) where A = ____ and B = _____We know that log₂ 4 = 2 can be written as \($2^2 = 4$\).

A = 2 and B = 4

Hence, (a) log₂ 4 = 2 can be written in the form \($2^A = B$\) where

A = 2 and B = 4. T

hus, we have found the solution.

(b) log₅ 25 = 2 can be written in the form \($5^C = D$\) where C = ____ and D = _____

We know that log₅ 25 = 2 can be written as \($5^2 = 25$\).

C = 2 and D = 25

Hence, (b) log₅ 25= 2 can be written in the form \($5^C = D$\) where C = 2 and D = 25. Thus, we have found the solution.

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