How many zeros does this parabola have?

The given statement is false because In programming, the break and continue statements serve different purposes and can be used independently or together within nested loops.

The break statement is used to exit the current loop prematurely. When encountered, it terminates the loop and continues with the next statement after the loop. This can be useful when a specific condition is met, and you want to stop the execution of the loop immediately.

The continue statement, on the other hand, is used to skip the current iteration of a loop and move on to the next iteration. It allows you to skip certain iterations based on a specific condition without terminating the entire loop.

Both break and continue statements can be used within nested loops. In such cases, the break statement will exit only the innermost loop it is placed in, while the continue statement will skip to the next iteration of the innermost loop.

By using break and continue strategically within nested loops, you can control the flow of execution based on specific conditions. This flexibility allows you to fine-tune the behavior of your program and optimize its efficiency.

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Note : This is a computer science question

Answer:

y=(6,3)+(-2,1)

the equations for the osculating, normal, and rectifying planes at t = pi/2 are:

Osculating plane: z = -j * (t - pi/2) - 5

Normal plane: y = -i * (t - pi/2) + 1

Rectifying plane: x = 1.

To find the values of r, T, N, and B at t = pi/2, we first need to calculate r(pi/2) and its derivatives.

r(t) = (cos t)i + (sin t)j - 5k

r(pi/2) = (cos(pi/2))i + (sin(pi/2))j - 5k
        = 0i + 1j - 5k
        = <0, 1, -5>

To find T(pi/2), we need to take the derivative of r(t) and evaluate it at t = pi/2.

r'(t) = (-sin t)i + (cos t)j + 0k

r'(pi/2) = (-sin(pi/2))i + (cos(pi/2))j + 0k
         = -i

Since T(pi/2) is the unit tangent vector at t = pi/2, we need to normalize r'(pi/2) to get T(pi/2).

|T(pi/2)| = |r'(pi/2)| = |-i| = 1

T(pi/2) = r'(pi/2) / |r'(pi/2)|
        = (-i) / 1
        = -i
        = <-1, 0, 0>

To find N(pi/2), we need to take the second derivative of r(t) and evaluate it at t = pi/2.

r''(t) = (-cos t)i - (sin t)j + 0k

r''(pi/2) = (-cos(pi/2))i - (sin(pi/2))j + 0k
          = 0i - 1j + 0k
          = <0, -1, 0>

Since N(pi/2) is the unit normal vector at t = pi/2, we need to normalize r''(pi/2) to get N(pi/2).

|N(pi/2)| = |r''(pi/2)| = |<0, -1, 0>| = 1

N(pi/2) = r''(pi/2) / |r''(pi/2)|
        = <0, -1, 0> / 1
        = <0, -1, 0>
To find B(pi/2), we can use the formula B = T x N, where x denotes the cross product.

B(pi/2) = T(pi/2) x N(pi/2)
        = <-1, 0, 0> x <0, -1, 0>
        = <0*0 - (-1)*0, 0*0 - 0*0, (-1)*(-1) - 0*0>
        = <0, 0, 1>

Therefore, we have:
r(pi/2) = <0, 1, -5>
T(pi/2) = <-1, 0, 0>
N(pi/2) = <0, -1, 0>
B(pi/2) = <0, 0, 1>

To find the equations of the osculating, normal, and rectifying planes at t = pi/2, we can use the following formulas:

Osculating plane: r(pi/2) + [r'(pi/2) x r''(pi/2)] / |r'(pi/2)|^2 * (t - pi/2)

Normal plane: r(pi/2) + [r''(pi/2) x [r'(pi/2) x r''(pi/2)]] / |r''(pi/2)|^2 * (t - pi/2)

Rectifying plane: r(pi/2) x [r'(pi/2) x r''(pi/2)] / |r'(pi/2)|^2

Plugging in the values we found earlier, we get:

Osculating plane: (0)i + (1)j + (-5)k + [(-i) x <0, -1, 0>] / |-i|^2 * (t - pi/2)
                = (0)i + (1)j + (-5)k - j * (t - pi/2)

Normal plane: (0)i + (1)j + (-5)k + [<0, -1, 0> x [-i x <0, -1, 0>]] / |<0, -1, 0>|^2 * (t - pi/2)
            = (0)i + (1)j + (-5)k + (-i*(t - pi/2)

Rectifying plane: <0, 1, -5> x [-i x <0, -1, 0>] / |-i|^2
                = <0, 1, -5> x <0, 0, -1>
                = <1, 0, 0>

Therefore, the equations for the osculating, normal, and rectifying planes at t = pi/2 are:

Osculating plane: z = -j * (t - pi/2) - 5

Normal plane: y = -i * (t - pi/2) + 1

Rectifying plane: x = 1.

Note that these equations are in the form of a plane equation ax + by + cz = d, where a, b, c are the components of the normal vector to the plane, and d is the distance from the origin to the plane.

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The fraction that satisfies the problem is 20/24.

Equivalent fractions are fractions that have the same value, but different numerators and denominators.

If the fraction is equivalent to 5/6, then the numerator and denominator of the fraction is a multiple of 5 and 6, respectively.

Let x be the factor

fraction = 5x / 6x

If the sum of my numerator and my denominator is 44, then:

5x + 6x = 44

11x = 44

x = 4

fraction = 5x / 6x = 20/24

The final statement says that the sum of the digits in the denominator is 6.

2 + 4 = 6

Hence, the fraction is 20/24.

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Answer:

exponential

Step-by-step explanation:

put it on a graphing calculator and you'll see

Answer:

La magnitud de la velocidad angular es 0.026 rad/s y la magnitud del desplazamiento angular es 4.71 rad.

Step-by-step explanation:

Podemos encontrar la magnitud de la velocidad angular (ω) del disco con la siguiente ecuación:

\( \omega = \frac{\theta}{t} \)

En donde:

θ: es el desplazamiento angular = 0.75 rev

t: es el tiempo = 180 s

Primero debemos cambiar las unidades del desplazamiento angular de revoluciones a radianes:

\( \theta = 0.75 rev*\frac{2\pi rad}{1 rev} = 4.71 rad \)

Entonces, la velocidad angular es:

\( \omega = \frac{4.71 rad}{180 s} = 0.026 rad/s \)

Por lo tanto, la magnitud de la velocidad angular es 0.026 rad/s y la magnitud del desplazamiento angular es 4.71 rad.

Espero que te sea de utilidad!        

Answer:

24 is equivalent to 24/1

Step-by-step explanation: Hope this helped you feel free to ask questions in comments.

Answer:

6.75 x 10^2 g

Step-by-step explanation:

Mass of Red Blood Cells

The mass of a red blood cell is about 2.7 X 10−112.7 X 10 −11 grams. There are about 2.5 X 10132.5 X 10 13 red blood cell in a human body. What is the total mass, in grams, of the red blood cells in a human body? Express your answer in standard form

To find the total mass of red blood cells in a human body, we need to multiply the mass of one red blood cell by the total number of red blood cells in the body:

Total mass = (mass of one red blood cell) x (total number of red blood cells)

Total mass = (2.7 x 10^-11 grams) x (2.5 x 10^13 red blood cells)

Multiplying these two numbers gives:

Total mass = 6.75 x 10^2 grams

In standard form, this is:

Total mass = 6.75 x 10^2 g

Answer:

1. A piecewise linear model for the cost, C, of a taxi ride based on the distance travelled, m, in meters can be represented as:

C = 2.60 (m<234.8)

C = 2.60 + 0.20(m-234.8) (234.8<=m<9656.1)

C = 2.60 + 0.20(9656.1-234.8) + 0.20(m-9656.1) (m>=9656.1)

2.To find the cost of 0.2 km, 5 km, and 15 km rides:

0.2 km = 200 m, the cost would be 2.60 GBP

5 km = 5000 m, the cost would be 2.60 + (0.20 * (5000-234.8)) GBP = 2.60 + 858 GBP = 1118 GBP

15 km = 15,000 m, the cost would be 2.60 + (0.20 * (9656.1-234.8)) + 0.20(15,000-9656.1) GBP = 2.60 + (0.20 * 9656.1-234.8) + 0.20(15,000-9656.1) = 2.60 + 1712.2 + 2040 = 3964.8 GBP

3. A piecewise linear model for the cost, D, of a taxi ride based on the time taken, t, in seconds, ignoring distance can be represented as:

D = 2.60 (t<50.4)

D = 2.60 + 0.20(t-50.4) (50.4<=t<1260)

D = 2.60 + 0.20(1260-50.4) + 0.20(t-1260) (t>=1260)

4. To find the cost of 0.5 minute, 5 minute, and 15 minute rides:

0.5 minute = 30 seconds, the cost would be 2.60 GBP

5 minutes = 300 seconds, the cost would be 2.60 + (0.20 * (300-50.4)) GBP = 2.60 + 44 GBP = 2.60+44 = 3.04 GBP

15 minutes = 900 seconds, the cost would be 2.60 + (0.20 * (1260-50.4)) + 0.20(900-1260) GBP = 2.60 + (0.20 * 1260-50.4) + 0.20(900-1260) = 2.60 + 252 + -12 GBP = 2.48 GBP

5. Given that the actual taxi fare is always the greater of the two models, find:

(i) the cost of a ride that takes 10 minutes to go 4 km is 1118 GBP (by distance model)

(ii) the cost of a ride that takes 5 minutes to go 4 km is 3.04 GBP (by time model)

It is important to

Answer:

146.93 m^2

Step-by-step explanation:

1. Area of the triangle plus the area of the semicircle.

2. Triangle: b x h x .5 14 x 10 x .5= 70

3. area of semicircle: (πr^2).5 7^2 x π x .5 = 76.93

We halved the area of a circle since we have half a circle.

4. 76.93+70= 146.93

Answer: 7

Step-by-step explanation:

If f(x) = 9, we can substitute it in the function and solve for x:

f(x) = 23 - 2x = 9

Subtracting 23 from both sides, we get:

-2x = 9 - 23 = -14

Dividing both sides by -2, we get:

x = -14/-2 = 7

Therefore, the value of x when f(x) = 9 is 7.

Answer:

-4 , -29

Step-by-step explanation:

The values of a and b that make the equation true are -28 and -9, respectively

The equation is given as:

(4 + √-49) – 2((-4)² + √–324) = a + bi

Evaluate the exponents

(4 + 7i) – 2(16 + 18i) = a + bi

Expand the bracket

4 + 7i – 32 - 16i = a + bi

Collect like terms

4 – 32 + 7i - 16i = a + bi

Evaluate like terms

-28 -9i = a + bi

By comparison, we have:

a = -28 and b = -9

Hence, the values of a and b that make the equation true are -28 and -9, respectively

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She will plot a graph using the given points and trace the point y = 11 to the x-axis.

A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant.

Firstly she would have form tables of values for x and y using y = 5x + 2 x-values had been given as   -22- 20 18 16 14 12 10- 8 6 0 6 8 .

Then plot a graph of the line y =5x + 2  with y on the vertical  and x on the horizontal.

After plotting the graph, on the vertical axis trace y = 11, draw a horizontal line from y = 11 until it just touches the straight line graph from that point drop a vertical line until it touches the x-axis. the value of x there is the solution of the equation y = 5x +2.

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Answer:

Width is 3 length is 9 :)

Step-by-step explanation:

I'm doing this stuff right now

The null hypothesis exists that the standard deviation σ exists equivalent to 0.62. The alternative hypothesis exists that it does not equivalent 0.62.

Statistical hypothesis testing employs null and alternate hypotheses. While the alternative hypothesis states your research's prediction of an effect or relationship, the null hypothesis of a test always predicts no effect or no association between variables.

A proposed claim or defense in the hypothesis test is referred to as an alternative hypothesis in statistics. In most cases, it supports the research premise and shows that there is a statistical relationship between the variables. It is one of the two statements in statistical hypothesis testing that are mutually exclusive.

H₀: σ = 0.62

H₁: σ ≠ 0.62

The null hypothesis exists that the standard deviation σ exists equivalent to 0.62.

The alternative hypothesis exists that it does not equivalent 0.62.

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The angle is 29.1234 degree

It is an application of trigonometric by which we can find the height, distance, and angle.

(x) = 122 m

Height of lighthouse (h) = 34

The base of a lighthouse that is 34 meters above sea level (l) = 34

The angle of elevation from the boat to the top of the lighthouse.

Total height of the tower from the sea level = 34 + 34

Total height of the tower from the sea level = 68

Then

\(\begin{aligned} tan \theta &= \dfrac{Total height of tower from the sea level}{Distance between boat and light and lighthouse} \\tan \theta &= \dfrac{68}{122} \\\theta &= tan^{-1} (\dfrac{68}{122} )\\\theta &= 29.132429^{o} \\\end{aligned}\)

Thus, the angle is 29.1234 degree

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16 is the answer edge 2022

Linear velocity of a person riding is 5.6 ft/s and time for one revolution of ferries wheel is 31.8 sec.

What is linear velocity?

Linear velocity, v, is defined as the rate of change of linear displacement, s, with respect to time, t.

On a ferries wheel, displacement = circumference of the wheel = 2πr

Hence linear velocity, v = 2πr/T

According to the given question:

Diameter of the wheel is 80 feet

So, radius of wheel = 40 feet

If Ferris wheel makes one revolution is 45 seconds

Then linear velocity

v = 2πr/T = 2 x 3.14 x 40/45

v = 5.6 ft/s

If linear velocity of a person riding on wheel is 8 ft/s then time for one revolution

T = 2πr/v = 2 x 3.14 x 40/ 8

T = 31.8 sec

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Answer:

Chamoy

Step-by-step explanation:

585/9= 65

605/11= 55

The proof that shows that lines DC and AB are parallel is shown below.

The SSS congruence theorem states that two triangles that have three corresponding congruent sides are congruent to each other.

When two triangles are proven to be congruent triangles, invariably, we can state that the corresponding parts of both triangles are also equal to each other by CPCTC.

The following proof shows lines DC and AB are parallel lines:

Statement                                              Reasons                                                    

1. AB = CD                                             1. Given

AD = CB                                    

2. Line AC = Line AC                            2. Reflexive property

3. Triangle ADC ≅ Triangle ABC         3. SSS

4. Angle 1 ≅ Angle 4                             4. CPCTC

5. DC║AB                                              5. Converse of alternate interior ∠s theorem

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Answer:

4

Step-by-step explanation:

First:

(-2 1/2)*(-1 3/5) = 2.5*1.6

Second:

2.5*1.6=5/2*8/5

Third:

5/2*8/5=

4

Answer:

56 degrees

Step-by-step explanation:

Answer:

They are a linear pair so m<B is 56 degrees

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

O Citizens who are healthy contribute more to their communities.

( I don't think this is math related).

Answer: l = P/2 - w

Step-by-step explanation:

Perimeter formula for rectangle :

P = 2( l + w )

We have to write l in terms of P and W.

P/2 = ( l + w)

P/2 - w = l

Now, flip the equation and you'll get :

l = P/2 - w

Answer:

a couple different obes

Step-by-step explanation:

there are five

The probability of finding the first applicant with advanced training in programming on the fifth interview is approximately 0.072.

To solve this problem, we can use the geometric distribution, which models the probability of a certain event (in this case, finding an applicant with advanced training in programming) occurring for the first time after a certain number of trials (in this case, interviews).
The probability of finding an applicant with advanced training in programming on any given interview is 0.3, since 30% of the applicants possess this qualification. Therefore, the probability of not finding an applicant with advanced training in programming on any given interview is 0.7.
To find the probability that the first applicant with advanced training in programming is found on the fifth interview, we need to calculate the probability of not finding any such applicant on the first four interviews (which is (0.7)^4) and then finding one on the fifth interview (which is 0.3).
Therefore, the probability that the first applicant with advanced training in programming is found on the fifth interview is:
(0.7)^4 * 0.3 = 0.07203 (rounded to five decimal places)
So the answer is that the probability of finding the first applicant with advanced training in programming on the fifth interview is approximately 0.072.

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The convolution of f and g is\(f * g(x) = 1 / sqrt(3pi) * e^(-2x^2 / (3pi)).\)

To compute the convolution of two functions f and g using the Fourier transform, we'll follow these steps:

Find the Fourier transforms of f(x) and g(x).

Use the convolution theorem, which states that the Fourier transform of the convolution of two functions is the product of their individual Fourier transforms.

Take the inverse Fourier transform to obtain the convolution.

Let's start by finding the Fourier transforms of f(x) and g(x):

Fourier transform of\(f(x): f(x) = e^(-x^2)\)

According to the table in Kreyszig (p. 536), the Fourier transform of e^(-ax^2) is given by:

\(F{e^(-ax^2)} = sqrt(pi/a) * e^(-pi^2 * xi^2 / a)\)

For f(x) with a = 1:

\(F{f(x)} = sqrt(pi) * e^(-pi^2 * xi^2)\)

Fourier transform of\(g(x): g(x) = e^(-2x^2)\)

For g(x) with a = 2:

\(F{g(x)} = sqrt(pi/2) * e^(-pi^2 * xi^2 / 2)\)

Now, we apply the convolution theorem:

Convolution theorem: If F{f(x)} = F_f(xi) and F{g(x)} = F_g(xi), then the Fourier transform of the convolution f * g is given by F{f * g} = F_f(xi) * F_g(xi).

Therefore, the Fourier transform of the convolution f * g is:

\(F{f * g} = (sqrt(pi) * e^(-pi^2 * xi^2)) * (sqrt(pi/2) * e^(-pi^2 * xi^2 / 2))\)

=\(sqrt(pi^3 / 2) * e^(-3pi^2 * xi^2 / 2)\)

Now, we need to take the inverse Fourier transform to find the convolution result:

Inverse Fourier transform of\(F{f * g} = F_f * F_g = sqrt(pi^3 / 2) * e^(-3pi^2 * xi^2 / 2)\)

According to the table in Kreyszig (p. 536), the inverse Fourier transform of e^(-ax^2) is given by:

\(F^(-1){e^(-ax^2)} = 1 / sqrt(2a) * e^(-x^2 / 4a)\)

Therefore, the convolution of f and g, denoted as f * g, is given by:

\(f * g (x) = F^(-1){F{f * g}}\)

=\(1 / sqrt(2 * (3pi^2 / 2)) * e^(-x^2 / (4 * (3pi^2 / 2)))\)

=\(1 / sqrt(3pi) * e^(-2x^2 / (3pi))\)

So, the convolution of f and g is\(f * g(x) = 1 / sqrt(3pi) * e^(-2x^2 / (3pi)).\)

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Answer: 6x10°+97

Step-by-step explanation:

6x10°-4-10-1+30-3+7x10+2x10-5

6x10°-4-10-1+30-3+70+2x10-5

6x10°-4-10-1+30-3+70+20-5

6x10°+97

Answer:

c

Step-by-step explanation:

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3