Identify the y-intercept

A. 0-2
B. 0-3
C. 0-4
D. 6-2

Answer:

(1) B

(2) D

Step-by-step explanation:

(1)

Let the quadratic function be:

\(y = ax^{2} + bx + c\)

For the point, (0,-1),

\(y = ax^{2} + bx + c\)

\(-1=(a\times0)+(b\times0}+c\\-1=c\\c=-1\)

Then the equation is:

\(y = ax^{2} + bx -1\)

For the point (-1, -8) ,

\(y = ax^{2} + bx -1\)

\(-8=(a\times (-1)^{2})+(b\times -1)-1\\-8=a-b-1\\a-b=-7...(i)\)

For the point (1, 2) ,

\(y = ax^{2} + bx -1\)

\(2=(a\times (1)^{2})+(b\times 1)-1\\2=a+b-1\\a+b=3...(ii)\)

Add the two equations and solve for a as follows:

\(a-b=-7\\a+b=3\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\2a = -4\\a = -2\)

Substitute a = -2 in (i) and solve for b as follows:

\(a-b=-7\\-2-b=-7\\b=5\)

Thus, the quadratic function is:

\(f(x)=-2x^{2}+5x-1\)

The correct option is (b).

(2)

The ordered pairs are:

(5, 7), (7, 11), (9, 14), (11, 18)

Represent them in an XY table as follows:

X : 5 | 7 | 9 | 11

Y : 7 | 11 | 14 | 18

Compute the difference between the Y values as follows:

Diff = 11 - 7 = 4

Diff = 14 - 11 = 3

Diff = 18 - 14 = 4

Now compute the difference between the Diff values:

d = 3 - 4 = -1

d = 4 - 3 = 1

Since the differences between the differences of the y-values is not consistent, the ordered pairs do not represent a quadratic equation.

The correct option is D.

a) 95% confidence interval of the true mean : 88.98 < µ < 103.02

b) 95% confidence interval of the mean heart rate : 93.91 < µ < 98.09

Given ,

Point estimate = sample mean = X  = 96

Sample standard deviation = s = 15

Sample size = n = 20

= n - 1 = 20 - 1 = 19

Here,

Using t-distribution because standard deviation unknown

At 95% confidence level the t is,

\(t_{\alpha /2\), df  = t0.025,19 = 2.093

At 95% confidence level the t is,

α = 1 - 95%

= 1 - 0.95

= 0.05

α / 2 = 0.05 / 2

= 0.025

\(t_{\alpha /2\), df

 = \(t_{0.025,19\)

= 2.093

Margin of error,

E = \(t_{\alpha /2\) , df * s/√n

= 2.093 * 15/√20

= 7.02

Margin of error = E = 7.02

The 95% confidence interval estimate of the population mean is,

X - E < µ < X + E

96 - 7.02 < µ < 96 + 7.02

88.98 < µ < 103.02

b)

n = 200

degrees of freedom = n - 1 = 200 - 1 = 199

At 95% confidence level the t is,

\(t_{\alpha /2\), df  = \(t_{0.025,199\)

= 1.972

Margin of error,

E = \(t_{\alpha /2\) , df * s/√n

E = 1.972 * 15/√200

E = 2.09

The 95% confidence interval estimate of the population mean is,

X - E < µ < X + E

96 - 2.09 < µ < 96 + 2.09

93.91 < µ < 98.09

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The value of alpha is 0.025. The Z-value is 1.96. The P(z) is 0.5. The effect size is 0.05. The Sample size for the study is 384.

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers. The 68-95-99.7 Rule states that 95% of values lie within two standard deviations of the mean, hence to get the 95% confidence interval, you add and subtract two standard deviations from the mean.

Here,

All the calculations attached in image.

z= 1.96

p = 0.5

q = 1-p = 0.5

E = 0.05

sample size =

(z^2).(pq)=(1.96^2).(0.5)(.0.5)

384.16,

round up

n for study =385

Alpha has a value of 0.025. There is a 1.96 Z-value. P(z) equals 0.5. The impact factor is 0.05. The Sample size for the study is 384.

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Step-by-step explanation:

First you do pie then you will get 616 then you divide 616 by 2 and youll get 308 then yoi do it again and youll get 154

Answer: Oslo was colder

Step-by-step explanation: The other one was -5 and this won is -12 so Oslo is colder!! Hope it helped! :)

Answer:

kdwnoioinfeoawfbcaeiuhvaeoihvaeoidvajae

Answer:

the second one

Step-by-step explanation:

05) is called alpha (α). If the probability (i.e., p-value) is less than alpha that we would obtain a sample mean this large or larger from the null population, we reject the null hypothesis and conclude that our sample was drawn from a different population with a sample mean larger than the null mean.

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

(a) The magnitude of the velocity at t=1.25 s is approximately 11.94 m/s. (b) The angle that the velocity of the particle makes with the x-axis at t=1.25 s is approximately 18.6°. (c) The magnitude of the particle's acceleration is approximately 9.12 m/s².

Let's calculate the required values using the given expression for the particle's position:

r(t) = [(4.56 m/s²)t²]i + (3.08 m)j + [(3.76 m/s)t]k

(a) - Magnitude of Velocity at t=1.25 s:

To find the magnitude of the velocity, we need to take the derivative of the position vector with respect to time.

v(t) = dr(t)/dt = [(9.12 m/s²)t]i + 0j + [(3.76 m/s)]k

Substituting t=1.25 s into the velocity expression, we get:

v(1.25) = [(9.12 m/s²)(1.25)]i + 0j + [(3.76 m/s)]k

       = 11.4i + 3.76k m/s

The magnitude of the velocity can be found using the Pythagorean theorem:

|v| = sqrt((11.4 m/s)² + (3.76 m/s)²)

Calculating this, we find:

|v| ≈ 11.94 m/s

Therefore, the magnitude of the velocity at t=1.25 s is approximately 11.94 m/s.

(b) - Angle of Velocity with x-axis at t=1.25 s:

The angle θ between the velocity vector and the x-axis can be found using trigonometry:

θ = arctan(vy/vx)

In this case, vy = 3.76 m/s and vx = 11.4 m/s.

θ = arctan(3.76 m/s / 11.4 m/s)

Calculating this, we find:

θ ≈ 18.6°

Therefore, the angle that the velocity of the particle makes with the x-axis at t=1.25 s is approximately 18.6°.

(c) - Magnitude of Acceleration:

The magnitude of the particle's acceleration is given by the derivative of the velocity vector with respect to time:

a(t) = dv(t)/dt = (9.12 m/s²)i + 0j + 0k

The magnitude of the acceleration is simply the magnitude of this vector:

|a| = sqrt((9.12 m/s²)² + 0² + 0²)

Calculating this, we find:

|a| ≈ 9.12 m/s²

Therefore, the magnitude of the particle's acceleration is approximately 9.12 m/s².

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Answer:

the length is 9 and the width is 4

Step-by-step explanation:

I think

Answer:

\(x=\sqrt{31}\)

Step-by-step explanation:

\(x*x+5=36\\Subtract 5 on both sides\\x^{2} =31\\\sqrt{x^{2}} =x\\\\\sqrt{31}=\sqrt{31} \\ x=\sqrt{31}\)

Therefore , the solution of the given problem of slope comes out to be less consistent than that of the split-brain patients.

The slope of a line determines how steep it is. Equations predicated on gradients might experience gradient overflow. One can determine the slope by dividing the midpoint of the run (length difference) between two points by the rise (vertical differentiation) between the same two points. The equation of the hill type with the notation y = mx + b is used to model the fixed path problem.

Here,

Given :

A slope having search functions for the control subjects and

the split-brain patients is different because

In general, the control participants' performance was less consistent than that of the split-brain patients.

Therefore , the solution of the given problem of slope comes out to be less consistent than that of the split-brain patients.

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Y = (1/6)*e^5t  is  differential equation .

What exactly does differential equation mean?

An equation that connects one or more unknown functions and their derivatives is known as a differential equation in mathematics.  

                                     Applications typically use functions to describe physical quantities, derivatives to indicate the rates at which those quantities change, and differential equations to define a relationship between the two.

y′′−9y′+26y=e^(5t)

The characteristice equation of the differential equation is : r^2 -9r +26 =0

On solving we get the values of r=4.5 + 2.34i (z1) ,  4.5 - 2.4i(z2)--- (complex roots)

homogeneous solution is: yh = c1e^z1t + c2e^z2t

Plug  Y = Ae^5t in the ODE:

=   25Ae^5t -9*5Ae^5t +26Ae^5t =e^(5t)

25A -45A +26A =1 ;  6A = 1; A =1/6

Y = c1e^z1t + c2e^z2t  is a general solution but we wnata particular solution

So, simply Y = (1/6)*e^5t

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Answer:

Step-by-step explanation:

<ATC+90+60=180

<ATC=30

we know that,

if 30-------x

60--------\(x\sqrt{3}\)

90---------2x

so,  x\sqrt{3}=10

x=10/sqrt{3}

Answer:

3n = 3.85

Step-by-step explanation:

Answer:

3n=3,85

Step-by-step explanation:

Answer:

yes .

.... I think 4 is the GCF of 4&64

The directional derivative of the function f(x, y, z) = -2yz² + x² + 2xy at the point P(2, 3, 2) in a direction parallel to the line x - 1 = y + 3 = -2(z - 2) is √21.

To find the directional derivative, we need to calculate the dot product of the gradient vector of the function and the unit vector in the direction parallel to the given line.

First, we calculate the gradient of f(x, y, z):

∇f = (∂f/∂x) i + (∂f/∂y) j + (∂f/∂z) k

= (2x + 2y) i + (-2z² + 2x) j + (-4yz) k

Next, we determine the unit vector in the direction parallel to the given line:

The direction vector of the line is given by the coefficients of x, y, and z in the equation x - 1 = y + 3 = -2(z - 2).

The direction vector is (-1, 1, -2).

To obtain the unit vector, we divide the direction vector by its magnitude:

u = (-1, 1, -2) / √(1² + 1² + (-2)²)

= (-1, 1, -2) / √6

Finally, we calculate the directional derivative:

Df = ∇f · u

= ((2x + 2y)(-1) + (-2z² + 2x)(1) + (-4yz)(-2)) / √6

Plugging in the values for P(2, 3, 2):

Df = ((2(2) + 2(3))(-1) + (-2(2)² + 2(2))(1) + (-4(2)(3))(-2)) / √6

= √21 / √6

= √21

Hence, the directional derivative of the function f at point P in a direction parallel to the given line is √21.

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The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:

A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.

B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.

C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.

D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.

Therefore, the correct answer is D. setne 23 47

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In the given table, we have values for two variables: n and m.

For n, we have the values 2, 4, and 6.

For m, we have the corresponding values -6, -12, and -18.

To find the relationship between n and m, we can observe the pattern in how the values change.

When we increase n by 2 from 2 to 4, the corresponding value of m decreases by 6 from -6 to -12. Similarly, when we increase n by 2 from 4 to 6, the corresponding value of m decreases by 6 from -12 to -18.

This pattern suggests that there is a linear relationship between n and m, where the value of m decreases by 6 units for every increase of 2 units in n.

In terms of a function rule, we can express this relationship as:

m = -6n

This means that the value of m can be determined by multiplying the value of n by -6. The negative sign indicates that as n increases, m decreases.

So, for any value of n, if we substitute it into the function rule m = -6n, we can find the corresponding value of m.

For example:

When n = 2, m = -6(2) = -12

When n = 4, m = -6(4) = -24

When n = 6, m = -6(6) = -36

Therefore, the function rule m = -6n describes the relationship between the values of n and m in the given table.

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Answer:

5.y=5x-10+5x+1

y=10x-9

6.y=2x+12+2x+6

  y=4x+18

7.y=-2x-8-2x+10

 y=-4x+2

8.y=-4x-8-4x-12

  y=-8x-20

Therefore, the combined rate , It will take both pipes together to fill the tank 12 minutes to fill the tank.

To determine the time it takes for both pipes to fill the tank, we can use the concept of rates. Let's denote the rate at which the first pipe fills the tank as R1 (in tanks per minute) and the rate at which the second pipe fills the tank as R2 (in tanks per minute).

We are given that the first pipe can fill the tank in 20 minutes, which means its rate is 1/20 tanks per minute (since it fills 1 tank in 20 minutes). Similarly, the second pipe fills the tank in 30 minutes, so its rate is 1/30 tanks per minute.

When the two pipes work together, their rates add up. Therefore, the combined rate of both pipes is R1 + R2 = 1/20 + 1/30 = 3/60 + 2/60 = 5/60 tanks per minute.

To find the time it takes for both pipes to fill the tank, we can invert their combined rate: 1 / (5/60) = 60/5 = 12 minutes.

Therefore, it will take both pipes together 12 minutes to fill the tank.

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The opportunity cost of completing an undergraduate education in four years is $60,000.

To calculate the opportunity cost of completing an undergraduate education in four years, we need to compare the costs of attending college to the potential earnings from the job offer as an Assistant Manager.

The total cost of attending college for four years includes tuition, textbooks, and room and board:

Total cost of college = Tuition + Textbooks + Room and board

                   = $21,000/year * 4 years + $1,000/year * 4 years + $13,000/year * 4 years

                   = $84,000 + $4,000 + $52,000

                   = $140,000

If you decided not to go to college and accepted the job offer as an Assistant Manager, you would earn $50,000 per year for four years:

Potential earnings from job offer = Annual salary * Number of years

                               = $50,000/year * 4 years

                               = $200,000

The opportunity cost of completing an undergraduate education in four years is the potential earnings from the job offer minus the total cost of attending college:

Opportunity cost = Potential earnings - Total cost of college

               = $200,000 - $140,000

               = $60,000

Therefore, the opportunity cost of completing an undergraduate education in four years is $60,000.

Question-

Suppose that at your university, you will pay $21,000 each year for tuition, $1,000 each year for textbooks, and $13,000 per year for room and board. Before you left for college. your boss at Panda offered you a job as an Assistant Manager paying $50,000 per year.

Assume that if you decided not to go to college, your parents would NOT let you live at. home.

What is your opportunity cost in completing an undergraduate education in four years?

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Answer:

Step-by-step explanation:

1/3hπr²

Answer:

We can use the given information to find the ant's crawling speed and then use that to calculate how far it can crawl in a given amount of time.

The ant crawls 12 feet in 10 minutes, so its crawling speed is:

12 feet / 10 minutes = 1.2 feet/minute

To find how far the ant can crawl in 20 minutes, we can multiply its crawling speed by the time:

Distance in 20 minutes = crawling speed x time

Distance in 20 minutes = 1.2 feet/minute x 20 minutes

Distance in 20 minutes = 24 feet

Therefore, the ant can crawl 24 feet in 20 minutes.

To find how far the ant can crawl in 30 minutes, we can use the same formula:

Distance in 30 minutes = crawling speed x time

Distance in 30 minutes = 1.2 feet/minute x 30 minutes

Distance in 30 minutes = 36 feet

Therefore, the ant can crawl 36 feet in 30 minutes.

Answer:

20 mins=24 feet

30 mins=36 feet

Step-by-step explanation:

if 12 feet = 10 mins and 10 times 2 = 20 then 12 times 2 =24

same for 30 mins.

10 times 3= 30 then 12 times 3= 36

The value of expression of f(x) = 3x - 2 is -20 when x = -6.

The expression is defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators who let do basic mathematical calculations.

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

Given that the expression as :

f(x) = 3x - 2,

To determine the value of f(-6) in the expression

⇒f(x) = 3x - 2

Substitute the value of x = -6 in the expression

⇒ f(-6) = 3(-6) - 2

⇒ f(-6) = -18 - 2

⇒ f(-6) = -20

Hence, the value of f(-6) of the expression is -20.

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Answer:

210 adult tickets were sold

Step-by-step explanation:

let x be the number of adult tickets sold

let y be the number of children tickets sold

x+y=260 equation 1

9x+5y=2140 equation 2

multiply equation 1 by 5

multiply equation 2 by 1

5x+5y=1300

9x+5y=2140

subtract equation 1 from 2

4x=840

x=840/4 =210  tickets

substitute for x in equation 1

210+y=260

y=260-210=50

Answer:

I can't see it

Step-by-step explanation:

you should zoom in a little bit please

Answer:

Step-by-step explanation:

What are you supposed to do

Answer:

X= 121

Step-by-step explanation:

A five sided polygon (Pentagon)= (2n-4) x 90degrees

=(2(5) -4) x90 = (6 x 90)=540 degrees

Hence, x+ 92+135+105 + 87= 540 degrees

x+ 419=540

x= 540-419

x=121

Answer:

24

Step-by-step explanation:

if we observe carefully we can see that the difference in the number of dots from the first picture to the second picture is 5

and the difference in the number of dots from the second picture to the third picture is 7

so there might be a chance that the difference between the 3rd figure and 4th figure may be 9

so my answer is the number of dots in the 3rd picture + 9

15+9= 24