its my birthday and i need help im stuck

The parametric equations for the tangent line to the helix at the point (0, 1, 2π) are x = 0, y = 1 + t, and z = 2π + t, where t is a parameter that determines the position along the tangent line.

To find the parametric equations for the tangent line to the helix at the given point (0, 1, 2π), we can use the following steps:

Step 1: Calculate the derivatives of the helix equations.

Given the helix parametric equations:

x = 2cos(t)

y = sin(t)

z = t

We need to find the derivatives dx/dt, dy/dt, and dz/dt with respect to t.

dx/dt = -2sin(t)

dy/dt = cos(t)

dz/dt = 1

Step 2: Substitute t = 2π into the derivatives.

We are interested in finding the tangent line at the point (0, 1, 2π). Substitute t = 2π into the derivatives calculated in Step 1.

dx/dt = -2sin(2π) = 0

dy/dt = cos(2π) = 1

dz/dt = 1

Step 3: Determine the direction vector of the tangent line.

The direction vector of the tangent line is given by the coefficients of dx/dt, dy/dt, and dz/dt. In this case, it is (0, 1, 1).

Step 4:

The parametric equations for the tangent line.

To write the parametric equations for the tangent line, we need the coordinates of a point on the line.

Since we are interested in the point (0, 1, 2π), the parametric equations for the tangent line are:

x = 0 + 0t

y = 1 + t

z = 2π + t

t is a parameter that determines the position along the tangent line.

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From the statement, we know that cost of:

• the pieces is $10,

• and the delivery fee is $5.

The total cost of ordering the pieces is the sum of both prices:

The total cost of ordering the pieces is $15.

The solution is the equation:

The profit as a function Q is Q² + 90Q + 5000.

It should be noted total revenue = Price × Quantity = 100Q

Total cost = 5000 + 10Q + Q²

Therefore, profit will be:

= Revenue - Cost

= 100Q - (5000 + 10Q + Q²)

= -5000 -90Q - Q².

= Q² + 90Q + 5000

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Answer:

c) 27.9

Step-by-step explanation:

Since MN is the midsegment ,

MN = (AB + CD)/2

21.1 = (AB + 14.3)/2

21.1*2 = AB + 14.2

AB = 42.2 - 14.2

AB = 27.9

Answer:

C

Step-by-step explanation:

the midsegment is equal to half the sum of the parallel bases, that is

\(\frac{1}{2}\) (AB + CD) = MN ( substitute values )

\(\frac{1}{2}\) (AB + 14.3) = 21.1 ( multiply both sides by 2 to clear the fraction )

AB + 14.3 = 42.2 ( subtract 14.3 from both sides )

AB = 27.9 cm

Answer: (60/13, 6/13)

Concept:

There are three general ways to solve systems of equations:

Here, we are going to use elimination since all the variables are in the corresponding position.

Solve:

Given

\(\left \{ {{2x+7y=-6} \atop {4x - y=18}} \right.\)

Multiply the first equation in order to eliminate [x]

\(\left \{ {{4x + 14y = -12} \atop {4x - y = 18}} \right.\)

Subtract the second equation from the first equation to eliminate [x]

\(14y-y=-12+18\)

\(13y=6\)

Divide 13 on both sides

\(13y/13=6/13\)

\(\boxed{y=\frac{6}{13} }\)

Substitute [y] value in order to get [x] value

4x - y = 18

4x - 6/13 = 18

4x = 18 + 6/13

4x = 240/13

\(\boxed{x=\frac{60}{13} }\)

Hope this helps!! :)

Please let me know if you have any questions

With Alpha set to .05, increasing the sample size would not directly reduce the probability of a Type I error. The probability of a Type I error is determined by the significance level (Alpha) and remains constant regardless of the sample size.

However, increasing the sample size can indirectly affect the probability of a Type I error by increasing the statistical power of the test. With a larger sample size, it becomes easier to detect a statistically significant difference between groups, reducing the likelihood of falsely rejecting the null hypothesis (Type I error).

Increasing the sample size generally decreases the probability of a Type II error, which is failing to reject a false null hypothesis. With a larger sample size, the test becomes more sensitive and has a higher likelihood of detecting a true effect if one exists, reducing the likelihood of a Type II error. However, it's important to note that other factors such as the effect size, variability, and statistical power also play a role in determining the probability of a Type II error.

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To solve the product, we have to use the distributive property.

The powers with similar bases are solved by just adding their exponents.

Step-by-step explanation:

RU is a median.

so, U is right in the middle between S and T.

and therefore, SU = UT.

3x + 5 = 5x - 7

12 = 2x

x = 6

so, SU = UT = 3×6 + 5 = 18 + 5 = 23 in.

therefore, ST = 2×23 = 46 in.

furthermore, the centroid splits every median with the ratio 2/1.

so, RQ = 2×QU.

RQ = 5 IN, therefore QU = RQ/2 = 5/2 = 2.5 in.

and RU is then 5 + 2.5 = 7.5 in.

for QV we need to go the other way around.

we know SV = 12 in.

and Q splits it also in the ratio 2/1.

that means we deal with 2+1=3 parts of the median.

SQ gets 2 of these parts, and QV gets 1 of these parts.

12/3 = 4 in power unit.

so,

SQ = 2×4 = 8 in.

QV = 1×4 = 4 in.

I believe your teacher made a mistake with the SU and UT definitions.

because ST is almost 4 times the length of the median SV.

and RU is even shorter than SV.

so, as SU = 23 in, V must be far left of U. and R must be left of U but right of V !

this is an impossible triangle.

Answer:

x = 10

angle top = 118°

angle bottom = 62°

Step-by-step explanation:

6x + 2 + 11x + 8 = 180

17x + 10 = 180

17x = 170

divide both sides by 17.

x = 10

plug in the 10 to each equation to get the number for the angle

6(10) + 2 = 62°

11(10) + 8 = 118°

Answer:

6

Step-by-step explanation:

Don't quote me on this bc I'm not 100% sure I'm sorry

Answer:

(6,4), (8,4),(6,4),(8,2)

Step-by-step explanation:

I think this may be right

Answer:

x = 49.0 degrees

Step-by-step explanation:

tan-1 = \(\frac{opposite}{adjacent}\)

tan-1 x = \(\frac{23}{20}\)

tan-1 x = 1.15

x = 48.990

round to the nearest tenth:

48.990 = 49

a. The first mentioned case is an Observational study, b. The second one is an Experiment, c. The same goes for the third case it is an observational study, d. And the fourth case is an Experiment.

In observational studies, researchers observe and record information about outcomes of interest without interfering with or controlling variables. Data on the proportion of community college students who successfully complete transfer-level English courses can be gathered and the data can be analyzed to provide answers to specific research questions.

The researcher must do this by contrasting her two sets of explanatory variables to see if there is a correlation between the explanatory and response variables.

If there is a causal relationship between two variables, researchers can observe plants and animals in new habitats and contrast them with their native habitats.

The relationship between consumption and LDL cholesterol oxidation is unclear, and experiments are required to determine whether eating simple carbohydrates increases LDL cholesterol oxidation.

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The question is -

For each of the following research questions, determine whether an observational study, an experiment, or neither should be used to answer the question. Note - each term on the right may be used more than once or not at all. Observational study What proportion of community college students successfully complete a transfer-level English course?

Experiment are non-elite soccer players less likely to develop arthritis of the hip or knee than elite soccer players. This is a question about the population of soccer players. The words "less likely in this research question require researchers to compare two groups of the explanatory variable to determine whether an association exists between the explanatory and response variables The researchers will then generalize the results to the population Observational study Does shifting flora and fauna to new habitats lead to the extinction of some species?

The word "lead" requires researchers to compare two groups of the explanatory variable to determine whether a cause-and-effect relationship exists between the explanatory variable and the response variables. Experiment Does the consumption of simple carbohydrates increase the oxidation of LDL cholesterol?

We have that m and n must be parallels in order to have the next diagram

where we have alternate angles that means that the angles in red are equals and the angles in green are equals

so the from the image of the problem we can say

m

the sum of the interior angles of a triangle is 180

so we can have

m<1 +m<2+m<3=180

The statement that must be true is A m || n

Answer:

15%

Step-by-step explanation:

$80 . . . 100%

$12 . . .    x%

x= 12*100/80=15

The sum of approximately 10 terms of the given arithmetic progression is 395.

To find the sum of a certain number of terms in an arithmetic progression (AP), we need to determine the number of terms involved.

Let's denote the number of terms as 'n'.

In an arithmetic progression, each term can be represented by the formula: a + (n-1)d,

where 'a' is the first term and 'd' is the common difference.

Given the AP 8, 15, 22, ..., we can observe that the first term 'a' is 8, and the common difference 'd' is 15 - 8 = 7.

To find the sum of the first 'n' terms, we can use the formula: Sn = (n/2)(2a + (n-1)d), where 'Sn' represents the sum of the first 'n' terms.

We are given that the sum of the terms is 395.

Substituting the values into the formula, we have:

395 = (n/2)(2(8) + (n-1)(7))

Simplifying the equation:

395 = (n/2)(16 + 7n - 7)

395 = (n/2)(7n + 9)

Multiplying through by 2 to eliminate the fraction:

790 = n(7n + 9)

Rearranging the equation:

7n² + 9n - 790 = 0

To solve this quadratic equation, we can either factorize, complete the square, or use the quadratic formula.

By factoring or using the quadratic formula, we find that the positive value of 'n' that satisfies the equation is approximately 10.55.

Since 'n' represents the number of terms, we round it down to the nearest whole number.

Therefore, the sum of approximately 10 terms of the given arithmetic progression is 395.

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Answer:

C

Step-by-step explanation:

I think that is the answer because 5x5x5=125

Answer:

it is c 125

Step-by-step explanation:

The the /ta/ sound is the sound which listeners are likely to report hearing. The option B is correct option.

According to the statement

we have given that the The voice onset time (vot) for the sound /da/ is 17 ms, and the vot for the sound /ta/ is 91 msec. and we have to find the sound which listeners are likely to report hearing.

So, For this purpose, we know that the

Traffic announcement (TA) refers to the broadcasting of a specific type of traffic report on the Radio Data System. It is generally used by motorists, to assist with route planning, and for the avoidance of traffic congestion.

And according to this and the voice onset time is

The brief instant that elapses between the initial movement of the speech organs as one begins to articulate a voiced speech sound and the vibration of the vocal cord.

And according to this

the /ta/ sound is the sound which is the like by the listeners are likely to report hearing.

So, The the /ta/ sound is the sound which listeners are likely to report hearing. The option B is correct option.

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The voice onset time (VOT) for the sound /da/ is 17 ms, and the VOT for the sound /ta/ is 91 msec. When a computer produces a sound with a VOT of 65 msec, listeners are likely to report hearing

a. the /da/ sound

b. the /ta/ sound

c. the /ja/ sound

d. a combination of /ta/ and /da/

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Answer:

The stage manager can multiply 55% by the table and the stool to get the height on set.

Step-by-step explanation:

44/80 is 0.55 or 55%

28*0.55 is 15.4

So, the stage manager can multiply 55% by the table and the stool to get the height on set.

Hope this helps!

Merry Christmas!

Answer:

See below

Step-by-step explanation:

Proportional function formula:

Use the first row to find the constant of proportionality:

Find the height of table:

Find the height of stool:

When interpreting graphs of real world situations, the slope of each part tell you the average rate of change (increase or decrease) of the dependent variable with respect to the independent variable. This is, how much the dependent variable increased (or decrease) per each unit the independent varaible increased, in average.

slope = change in independent variable / change in dependent variable

slope = Δy / Δx

Answer:

Answer is -2

Step-by-step explanation:

5.5 minus 7.5 is negative 2. hope this helps.

Given equation is a first-order nonlinear ordinary differential equation (ODE): y' - (x + y - 1)^2 = 0

What is differential equation ?

A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.

This equation can be solved using various methods, such as numerical methods or analytical methods like the implicit function theorem or the method of characteristics. However, finding an exact solution can be challenging and may not always be possible.

If you would like to find an approximate solution to this ODE, you could use numerical methods such as Euler's method, Runge-Kutta method, or the finite difference method. These methods can provide a numerical approximation to the solution for a given range of x and a specified initial condition.

The given equation is a first-order nonlinear ordinary differential equation (ODE):

y' - (x + y - 1)^2 = 0

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Answer:

-42

Step-by-step explanation:

Following Order of Operations, we have to multiply before subtracting, so

\(2-2*22\)

\(=2-44\)

\(=-42\)

Using order of operations, we get -42.

Answer:

Option C is the correct option.

Step-by-step explanation:

√ 8 • √ 5

Calculate the product

\( = \sqrt{40} \)

Simplify the radical expression

\( = \sqrt{2 \times 2 \times 10} \)

\( = 2 \sqrt{10} \)

Hope this helps...

Best regards!!

Sue Smith can calculate confidence limits for sampling error by using a confidence interval. a confidence interval is a range of values that is likely to contain the true population parameter.

The confidence interval is calculated from the sample data and the confidence level. The confidence level is the probability that the true population parameter is within the confidence interval.

For example, if Sue Smith wants to calculate a 95% confidence interval for the mean age of homemakers in the midwestern United States,

she would need to collect a sample of homemakers and calculate the sample mean. She would then use the sample mean and the confidence level to calculate the confidence interval.

The confidence interval would be a range of values that is likely to contain the true mean age of homemakers in the midwestern United States. For example, the confidence interval might be 35 to 45 years old.

This means that there is a 95% probability that the true mean age of homemakers in the midwestern United States is between 35 and 45 years old.

Sue Smith can use the confidence interval to calculate the sampling error. The sampling error is the difference between the sample mean and the true population mean.

The sampling error can be calculated by subtracting the sample mean from the confidence interval. For example, if the confidence interval is 35 to 45 years old and the sample mean is 40 years old, the sampling error is 5 years.

The sampling error is important because it tells Sue Smith how accurate her estimate of the true population mean is. The smaller the sampling error, the more accurate the estimate.

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Answer:

Step-by-step explanation:

Hints: look at the last term (-64) and the middle term (-12m).

Note that 64 is the product of 4 and 16, and that -4(16) = -64 or (-16)(4) = -64. the last term of thh given expression.  Furthermore, if we look at the composition of the middle term (-12m), we realize that 4 - 16 = -12 must lead towards a solution.

Focus on possible Answer 3:  Here -16m + 4m = -12m (which is what we'd hoped for, matching the middle term of the given expression.

Then m^2 - 12m - 64 = (x - 16)(x + 4)  (Answer 3)

Answer:

35 boys

25 girls

Step-by-step explanation:

you will the total number of volunteers and divide that by the total number of "parts" in the ratio (7+5=12)

60 / 12 = 5

you then will multiply your answer (in this case, 5) to each part of the ratio (7 to find the number of boys, & 5 to find the number of girls)

5x7=35 boys

5x5= 25 girls

HOPE THIS HELPS!!!

The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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The chi-square value for a one-tailed (upper tail) hypothesis test at a 5% level of significance and a sample size of n=25 is c. 36.415

What is chi-square?

Chi-square (χ²) is a statistical test that measures the relationship between categorical variables. It is used to determine if there is a significant association or independence between two variables based on observed frequencies compared to expected frequencies. The chi-square test is a statistical method used to determine if there is a significant association or independence between categorical variables based on observed and expected frequencies in a contingency table.

Degrees of freedom = n - 1

= 25 - 1

= 24

and alpha = 0.05

χ²⁽⁰°⁰⁵,²⁴⁾ =  36.415      …using chi-square table for right tail.

Therefore, the chi-square value for a one-tailed (upper tail) hypothesis test at a 5% level of significance and a sample size of n=25 is c. 36.415.

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Answer:

a) 75

b) 360 students

c) 56 ; 57 ; 58

d) 134 inches

e) 27°

Step-by-step explanation:

a)

\(5x = 375 \\ x = \frac{375}{5} \\ x = 75\)

b)

\( \frac{x}{3} = 120 \\ x = 120 \times 3 \\ x = 360\)

c)

\(x + x + 1 + x + 2 = 171 \\ 3x = 168 \\ x = 56 \\ (x + 1 = 57) \\ (x + 2 = 58)\)

d)

\(2x + 2 \times 70 = 408 \\ 2x = 408 - 140 \\ x = \frac{268}{2} \\ x = 134\)

e)

\(180 = 90 + 63 + x \\ x = 180 - 90 - 63 \\ x = 27\)