1) What is the current at
T=0.00s?
2) What is the maximum current?
3) How long will it take the current to reach 90% of its maximum
value? Answer in ms
4) When the current reaches it's 90% of it's max

Answer:  Function A= (0,8)

Function B= (0,2)

{(-4,12),(0,-1),(4,0),(x,y)} =6(4.0),(x,y)

I didn’t do the last one I’m sorry

Step-by-step explanation:

Answer:The answer is below

Step-by-step explanation:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = ⅕ ⎜h − 240⎟ − 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet). A ship risks running aground if the bottom of its keel (its lowest point under the water) reaches down to the river bottom. Suppose you are the harbormaster and you want to place buoys where the river bottom is 20 feet below the surface. Complete the absolute value equation to find the horizontal distance from the left shore at which the buoys should be placed

Answer:

To solve the problem, the depth of the water would be equated to the position of the river bottom.

h is=380 or h=100

Step-by-step explanation:

If you received a gift of $10,000 3 years ago and you want to spend it in 3 years with interest rate is 4%, it will be worth $12,653.19. Option b is correct.

To calculate the future value of a present sum after a specified period, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)ᴺ

In this case, the present value is $10,000, the interest rate is 4% or 0.04, and the number of periods is 6 years because you received the gift 3 years ago and want to spend it in 3 years.

Using the formula:

Future Value = \(\$10,000 * (1 + 0.04)^6\)

Future Value = \(\$10,000 * (1.04)^6\)

Future Value = $10,000 * 1.1265319

Future Value ≈ $12,653.19

Therefore, the amount will be approximately $12,653.19. Option b is correct.

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Answer:

Step-by-step explanation:

9 padlocks cost $25.20

Let the cost of a padlock be x

Then

A padlock costs $2.8

The intermediate step of the completing square of the equation is     \((x-8)^2\) = -25.

What is completing square of the equation?

 By modifying the equation's form so that the left side is a perfect square, a quadratic equation can be solved using the "Completing the Square" technique. One approach to locating the roots of the given quadratic equation is to complete the square method. With this approach, the given equation must be transformed into a perfect square. The quadratic formula can be used to assess the quadratic equation's roots as well.

Here the given ,

=> \(x^2\)+99=16x+10

=> \(x^2\) -16x =10-99

=> \(x^2\) -8.2x +64 = -89+64

=> \((x-8)^2\) = -25

Hence the completing square of the equation is  \((x-8)^2\) = -25.

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Answer:

3/4

Step-by-step explanation:

up 3 right 4

The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength= (λ/2).

This can be expressed mathematically as:
w * sin(θ) = (m + 1/2) * λ, where m = 0 for the first dark fringe, w is the slit width, θ is the angle of the dark fringe from the central maximum, and λ is the wavelength of light.
When light passes through a single slit, it diffracts and creates an interference pattern with alternating bright and dark fringes on a screen. The dark fringes occur when light waves from the edges of the slit interfere destructively, which means their path difference must be an odd multiple of half a wavelength (λ/2).
For the first dark fringe, we set m = 0 in the equation:
w * sin(θ) = (0 + 1/2) * λ
So, the condition for the first dark fringe is:
w * sin(θ) = λ/2

Hence, The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength (λ/2). This can be represented by the equation w * sin(θ) = λ/2.

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\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)

Answer:

15/8

Step-by-step explanation:

18/8 - 3/8 = 15/8

Answer:

15/8

Step-by-step explanation:

\(2 \times \frac{1}{4} - \frac{3}{8} \)

First, combine the mixed fraction. 2 (2/1) is equal to 8/4 (multiply by 4/4). This comes out as 9/4.

9/4 - 3/8

Then, we need to multiply the first fraction by 2/2 to get a common denominator

18/8 - 3/8

Since the denominators are the same, we can subtract the numerators, 18 - 3 = 15.

The denominator is kept after doing the subtraction in the numerator. 15/8 is the answer, or 1 7/8 as a mixed fraction

hate to be that person but what she said

Answer:

It is 1.5

Step-by-step explanation:

{0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4, 11}

 the middle two are 1 and 2.

the mean of 1 & 2 is 1.5 now you have the median!

Answer:

Length of route that passes the mall= 11 miles

Length of route that passes the theater= 13 miles

Step-by-step explanation:

route to school that passes the mall (highlighted in red)

= (x +1) +(x +2)

= 2x +3

route to school that passes the theater (in yellow)

= (2x +1) +x

= 3x +1

Since the first is 2 miles shorter,

2x +3= 3x +1 -2

Simplify:

2x +3= 3x -1

Bring constants to 1 side, x terms to the other:

3x -2x= 3 +1

x= 4

Substitute x=4 to find the length of each route:

Length of the route that passes the mall

= 2x +3

= 2(4) +3

= 8 +3

= 11 miles

Length of route that passes the theater

= 3x +1

= 3(4) +1

= 12 +1

= 13 miles

Alternatively, length of route that passes the theater

= 11 +2= 13 miles since it is 2 miles longer than that which passes the mall.

Option- 3 is correct that is both a and b are true.

a. The statement is true that is cosx = \(1 - \frac{sinx}{cscx+cotx}\)

b. The statement is true that is sinx = \(1 - \frac{cosx}{secx+tanx}\)

Given that,

a. We have to prove the statement is true or false.

Statement: cosx = \(1 - \frac{sinx}{cscx+cotx}\)

Now, Take the right hand side

= \(1 - \frac{sinx}{cscx+cotx}\)

= \(1 - \frac{sinx}{\frac{1}{sinx} +\frac{cosx}{sinx} }\)

By using LCM

= \(1 - \frac{sinx}{\frac{1+cosx}{sinx} }\)

= \(1 - \frac{sinx\times sinx}{1+cosx} }\)

= \(1 - \frac{sin^2x}{1+cosx} }\)

= \(\frac{1+cosx - sin^2x}{1+cosx} }\)

We know from trigonometric identities 1 - sin²x = cos²x

= \(\frac{cos^2x+cosx }{1+cosx} }\)

= \(\frac{cosx(1+cosx )}{1+cosx} }\)

= cosx

LHS = RHS

Therefore, The statement is true

b. We have to prove the statement is true or false.

Statement: sinx = \(1 - \frac{cosx}{secx+tanx}\)

Now, Take the right hand side

= \(1 - \frac{cosx}{secx+tanx}\)

= \(1 - \frac{cosx}{\frac{1}{cosx} +\frac{sinx}{cosx} }\)

By using LCM

= \(1 - \frac{cosx}{\frac{1+sinx}{cosx} }\)

= \(1 - \frac{cosx\times cosx}{1+sinx} }\)

= \(1 - \frac{cos^2x}{1+sinx} }\)

= \(\frac{1+sinx - cos^2x}{1+sinx} }\)

We know from trigonometric identities 1 - cos²x = sin²x

= \(\frac{sin^2x+sinx }{1+sinx} }\)

= \(\frac{cosx(1+sinx )}{1+sinx} }\)

= sinx

LHS = RHS

Therefore, The statement is true

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Answer:

The axis of symmetry is x = 5/2.

Step-by-step explanation:                             -b           -(-5)

The formula for the axis of symmetry is x = --------  =  --------- = 5/2

                                                                          2a          2(1)

The new points A', B', and C' after rotating triangle ABC 90 degrees counterclockwise about the origin and reflecting it over the x-axis are (-3,1), (0,3), and (2,4) respectively.

How rotate and reflect a point?

To rotate a point in a two-dimensional plane counterclockwise about the origin by a certain angle θ, we can use the rotation matrix. This matrix has the values of sine and cosine of the angle θ and can be used to multiply with the original point's coordinate vector to get the new coordinate vector after rotation. To reflect a point over the x-axis, we negate its y-coordinate.

Calculation the coordinates of the new points :

To rotate triangle ABC 90 degrees counterclockwise about the origin, we can use the rotation matrix:

[ cosθ -sinθ ]

[ sinθ cosθ ]

where θ is the angle of rotation, in this case 90 degrees, so we have:

[ 0 -1 ]

[ 1 0 ]

We can apply this matrix to each of the points of the triangle ABC to obtain their new coordinates after the rotation.

Then, to reflect the triangle over the x-axis, we simply negate the y-coordinate of each point.

So, to find the new points A', B', and C', we perform the following operations:

A' = (1, -3) * [ 0 -1 ] = [ (-3) (-1) ] -> reflect over x-axis -> [ (-3) 1 ]

[ 1 0 ]

B' = (3, 0) * [ 0 -1 ] = [ 0 (-3) ] -> reflect over x-axis -> [ 0 3 ]

[ 1 0 ]

C' = (4, -2) * [ 0 -1 ] = [ 2 (-4) ] -> reflect over x-axis -> [ 2 4 ]

[ 1 0 ]

Therefore, the new points are (-3,1), (0,3), (2,4).

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For the notation of average the expression {{1, 1, 0} [0, 1] 0} is evaluates to  0.3889 approximately.

To evaluate the expression {{1, 1, 0} [0, 1] 0}, we need to follow the notation,

[a, b] denotes the average of a and b.

{a, b, c} denotes the average of a, b, and c.

Let's break down the expression step by step

[0, 1]

= (0 + 1) / 2

= 1/2

= 0.5

Now we have {{1, 1, 0} 0.5 0}. We can evaluate the inner expression first.

{1, 1, 0}

= (1 + 1 + 0) / 3

= 2/3

≈ 0.6667

Now we have {0.6667 0.5 0}. We can apply the same notation to find the average,

{0.6667, 0.5, 0}

= (0.6667 + 0.5 + 0) / 3

= 1.1667 / 3

≈ 0.3889

Therefore, the expression {{1, 1, 0} [0, 1] 0} for the notation of average evaluates to approximately 0.3889.

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After solving, the height in feet of the sixth bounce is 1.892 feet.

In the given question, we ave to find the height, in feet, of the sixth bounce.

From the given question,

Height on the first bounce = 6.7

Subsequent bounce reaches a height of the previous bounce = 81%

Suppose the height is h.

So according to the question:

h(6) = height on the first bounce*(subsequent bounce reaches a height of the previous bounce)^6

h(6) = 6.7*(81%)^6

h(6) = 1.892 feet

So the height of sixth bounce is 1.892 feet.

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Answer:

There's 6 ways the boats can line up for the parade.

Step-by-step explanation:

Feel free to give brainliest.

Have an outstanding day!

y is sufficient for β

The probability density function (pdf) of an exponential distribution with mean β is given by:

f(y | β) = (1/β)exp(-y/β), for y ≥ 0

To show that f(y | β) is in the exponential family, we need to write it in the form:

f(y | β) = h(y)exp{θT(y) - A(θ)}

where h(y), θ, and A(θ) are functions that depend only on y, θ, and do not depend on β.

First, we can rewrite the pdf as:

f(y | β) = (1/β)exp(-y/β)

= (1/β)exp{(-1/β)y}

= (1/β)exp{(-1/β)yx}

where x = 1.

Next, we can identify the functions h(y), θ, and A(θ):

h(y) = 1

θ = -1/β

A(θ) = -log(-θ)

= -log(1/β)

= log(β)

Substituting these values, we get:

f(y | β) = exp{(-1/β)y}exp{-log(β)}

= exp{(-1/β)y - log(β)}

Therefore, f(y | β) is in the exponential family.

To show that y is sufficient for β, we can use the factorization theorem.

The joint pdf of the sample y1, y2, ..., yn is:

f(y1, y2, ..., yn | β) = (1/β)^n exp{- (y1 + y2 + ... + yn)/β}

= (1/β)^n exp{-n(ybar)/β}

where ybar is the sample mean.

Using the factorization theorem, we can write:

f(y1, y2, ..., yn | β) = h(y)g(T(y), β)

where T(y) = ∑ yi and h(y) does not depend on β.

Therefore, y is sufficient for β.

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The answer to the question isit has only one solution  x = 0

The equation that Kate is solving is given as

2/3(6x - 3) = 1/2(6x - 4)

Then we have to factorize the equations

Such that we would have

\(\frac{2(6x-3)}{3} =\frac{2(3x-2)}{2}\)

The next step of the equation would have to do with opening the equation

Then we would have 4x - 2 = 3x - 2

then 4x - 3x = 0

Then x = 0

Hence the solution of the equation is that it only has one solution x = 0

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Answer:

B. The equation has one solution: x = 0.

Step-by-step explanation:

To improve the design of this experiment, the researchers could have used a double-blind design, where both the participants and the researchers are unaware of the group allocation.

In the given experiment, the researchers have not employed any form of blinding, which could be a potential source of bias. Blinding is a critical aspect of experimental design, where the participants or the researchers are unaware of the group allocation or the treatment being administered. Blinding is used to eliminate any potential sources of bias that may arise due to the expectations or beliefs of the researchers or participants. In this particular study, the lack of blinding could have led to two possible sources of bias. Firstly, the participants in the first group who received the meditation session could have had higher expectations of improvement in their flexibility due to the meditation. These expectations could have led to higher motivation and effort during the flexibility measurement, leading to an artificial improvement in their flexibility scores. Secondly, the researchers who were measuring the flexibility of the participants could have been biased towards finding a difference between the groups due to their knowledge of the group allocation. This could have led to a subconscious alteration in the measurement process, leading to a false conclusion about the effect of meditation on flexibility.

hence To improve the design of this experiment, the researchers could have used a double-blind design, where both the participants and the researchers are unaware of the group allocation. For instance, the participants could have been assigned a unique identification number, and the researchers could have used coded labels to differentiate the groups. This would have eliminated any potential sources of bias due to expectations or beliefs and would have made the results more reliable.

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The answer is: No, the random condition is not met.

Answer:

t=1.78

Step-by-step explanation:

Answer:

gradient = - \(\frac{1}{3}\)

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the gradient and c the y- intercept )

given

3y + x = 5 ( subtract x from both sides )

3y = - x + 5 ( divide through by 3 )

y = - \(\frac{1}{3}\) x + \(\frac{5}{3}\) ← in slope- intercept form

with gradient m = - \(\frac{1}{3}\)

Answer-

yes

Step-by-step explanation:

yes, because no matter what value you plug in for x, you'll always get the same y.

For instance, if you plug in 3 as the value for x, y will always be 1.  This is true for every x, so this is a function.

Therefore, the equation of the normal line to the surface at the point (2, 1, -3) is given by: x = 2 + 8t, y = 1 + 2t, z = -3 + 2t. Therefore, the equation of the tangent plane to the surface at the point (2, 1, -3) is 8x + 2y + 2z = 26.

To find the equation of the tangent plane to the surface at the given point, we need to determine the partial derivatives and evaluate them at the point (2, 1, -3).

The partial derivatives of the surface equation are:

∂F/∂x = 4x

∂F/∂y = 2y

∂F/∂z = 2

Evaluating these derivatives at the point (2, 1, -3), we get:

∂F/∂x = 4(2) = 8

∂F/∂y = 2(1) = 2

∂F/∂z = 2

So the normal vector to the tangent plane at the point (2, 1, -3) is (8, 2, 2).

The equation of the tangent plane is given by:

8(x - 2) + 2(y - 1) + 2(z + 3) = 0

Simplifying this equation, we get:

8x + 2y + 2z = 26

To find the equation of the normal line, we can use the direction ratios of the normal vector. The direction ratios are (8, 2, 2), so the parametric equations of the normal line passing through the point (2, 1, -3) can be written as:

x = 2 + 8t

y = 1 + 2t

z = -3 + 2t

where t is a parameter.

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Using conditional probability, it is found that there is a 0.5714 = 57.14% probability that the student speaks ilocano given that he speaks kankanaey.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which:

In this problem, the events are given as follows:

Hence, the parameters are given as follows:

\(P(A \cap B) = 0.4, P(A) = 0.7\)

Then, the probability that the student speaks ilocano given that he speaks kankanaey is given by:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.7} = 0.5714\)

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Answer:

i have the same ? need help:(

Step-by-step explanation: