The speed of sound in air is 340 m/s. How far , in meters, would a sound of wave travel on 7 seconds?​

The value of a in the equation 60°a = [? ]° is dependent on the value of [? ].

To solve for a in the equation 60°a = [? ]°, we need to isolate a on one side of the equation. We can do this by dividing both sides of the equation by 60°:

60°a / 60° = [? ]° / 60°

This simplifies to:

a = [? ]° / 60°

Since we don't have the value of [? ]°, we cannot determine the exact value of a. However, we can simplify the expression by canceling out the ° units:

a = [? ] / 60

Therefore, the value of a is dependent on the value of [? ].

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4.6

1) Since 3/4x = 3.45, then we can solve it for x

3/4x = 3.45 Multiply both sides by 4 to eliminate the fraction

3x =13.80 Divide both sides by 3

x= 4.6

2) So x is equal to 4.6, and that is the answer

Standard form = ax+by+c=0

= Writing the given eq. in standard form =

= y+7=-3x-3

= 3x+y+7+3=0

= 3x+y+10=0

2/3 of 35 is 23. Kofi is 23.

This can be solved by finding the probability and using the Bayes' theorem. However, there is a 34.7% chance that Sarina will go to the store on Saturday, and a 65.3% chance that she will not. If it rains on Saturday, there is a 10.3% chance that Sarina will go to the store, and if she doesn't go to the store, there is a 20.3% chance that it did not rain that day.

a. Tree Diagram

A tree diagram is a visual representation of the different possible outcomes of a sequence of events. Each branch represents an event, and the probability of that event is written above the branch. The branches that lead to the same final outcome are grouped together. For this scenario, we can start with the event of whether it rains or not, then branch out to whether Sarina goes to the store or not based on each possibility.

b. To find P(S), we need to use the law of total probability:

P(S) = P(R) * P(S | R) + P(R') * P(S | R')

    = 0.3 * 0.12 + 0.7 * 0.53

    = 0.347

So there is a 34.7% chance that Sarina will go to the store on Saturday.

c. P(S') is simply the complement of P(S):

P(S') = 1 - P(S)

    = 1 - 0.347

    = 0.653

So there is a 65.3% chance that Sarina will not go to the store on Saturday.

d. To find P(S | R), we can use Bayes' theorem:

P(S | R) = P(R | S) * P(S) / P(R)

        = P(R and S) / P(R)

        = 0.3 * 0.12 / 0.347

        = 0.103

So if it rains, there is a 10.3% chance that Sarina will go to the store on Saturday.

e. To find P(R' | S'), we can again use Bayes' theorem:

P(R' | S') = P(S' | R') * P(R') / P(S')

         = (1 - P(S | R')) * 0.7 / 0.653

         = (1 - 0.53) * 0.7 / 0.653

         = 0.203

So if Sarina does not go to the store on Saturday, there is a 20.3% chance that it did not rain that day.

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Answer:

B. -15

Step-by-step explanation:

The question is incomplete, find the complete question attached. The point estimate of the mean is also known as the mean of the towns

Given the mean of two towns

xbarG for sample mean of Gotham = 35

xbarM for sample mean of Metropolis = 50

distribution of the difference between the 2 sample​ means = xbarG - xbarM

distribution of the difference between the 2 sample​ means = 35-50

distribution of the difference between the 2 sample​ means = -15

Hence option B is correct

The particle travels approximately 45.63 units along the path. The displacement is the straight-line distance between the initial and final positions of the particle is 2781.

To find the distance the particle travels along the path, we can integrate the speed over the interval of time. The speed of the particle is given by the magnitude of its velocity vector.

The velocity vector is the derivative of the position function r(t):

\(v(t) = (d/dt)(t^3/3, t^2, 2t)\)

\(= (t^2, 2t, 2)\)

The speed of the particle at any given time t is:

|v(t)| = √((t^2)^2 + (2t)^2 + 2^2)

= √(t^4 + 4t^2 + 4)

= √((t^2 + 2)^2)

To find the distance traveled along the path, we integrate the speed function over the given interval of time. The particle travels from t = -1/3 to t = 9.

distance = ∫[from -1/3 to 9] |v(t)| dt

= ∫[from -1/3 to 9] |t^2 + 2| dt

= ∫[from -1/3 to 0] -(t^2 + 2) dt + ∫[from 0 to 9] (t^2 + 2) dt

= [-1/3 * t^3 - 2t] (from -1/3 to 0) + [1/3 * t^3 + 2t] (from 0 to 9)

Evaluating the definite integrals:

distance = [-1/3 * 0^3 - 2 * 0 - (-1/3 * (-1/3)^3 - 2 * (-1/3))] + [1/3 * 9^3 + 2 * 9 - (1/3 * 0^3 + 2 * 0)]

= [0 - (1/3 * (-1/27) + 2/3)] + [1/3 * 729 + 18]

= [1/27 + 2/3] + [729/3 + 18]

= 1/27 + 2/3 + 729/3 + 18

= 1/27 + 18/27 + 729/3 + 18

= (1 + 18 + 729)/27 + 18

= 748/27 + 18

= 27.63 + 18

= 45.63 units (approximately)

Therefore, the particle travels approximately 45.63 units along the path.

To find the average speed, we divide the distance traveled by the time taken. The time taken is 9 - (-1/3) = 9 1/3 = 28/3.

average speed = distance / time

= 45.63 / (28/3)

= 45.63 * (3/28)

= 4.9179 units per unit time (approximately)

The displacement is the straight-line distance between the initial and final positions of the particle.

displacement = |r(9) - r(-1/3)|

= |(9^3/3, 9^2, 2 * 9) - ((-1/3)^3/3, (-1/3)^2, 2 * (-1/3))|

= |(27, 81, 18) - (-1/27, 1/9, -2/3)|

= |(27 + 1/27, 81

= 2781.

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The expression in the options which is equivalent to the given expression is D. (22x + 48) / (x² - 36).

Given expression is,

[15 / (x - 6)] + [7 / (x + 6)]

Cross multiplying the two fractional expressions,

= [15 (x + 6) + 7 (x - 6)] / [(x - 6) (x + 6)]

= [15x + 90 + 7x - 42] / [x² - 6²]

= (22x + 48) / (x² - 36)

Hence the equivalent expression is D.

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Jennifer would have $580 in her account after 24 months

a(x) = 20x + 100

the above function is a linear function

A linear function is a function that has a single variable raised to the power of 1.

100 is the constant

20 increases by m

a(x) is the dependent variable. Its value depends on the amount deposited per month and the number of months

The amount she would have after 24 months =

20(24) + 100 = $580

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Answer:

Thanks

Step-by-step explanation:

Thanks

The probability that the animal's weight will be less than 151 pounds is 0.50.

The correct option is B.

Since the given probability distribution ranges from 148 to 152, and we need to find the probability that the animal's weight will be less than 151 pounds, we can add the probabilities corresponding to the weights less than 151.

From the distribution, we see that the probability of the animal's weight being less than 151 pounds is 0.2 + 0.3 = 0.5.

Therefore, the answer is O 0.50.

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Answer:A

Step-by-step explanation:

To find the rate of decay, we need to use the formula A(t) = P(0.82)^t, where A(t) is the amount after t years, P is the initial amount, and 0.82 is the decay factor.

The decay factor is equal to 1 minus the decay rate, so we can solve for the decay rate as follows:

0.82 = 1 - r

r = 1 - 0.82

r = 0.18

Therefore, the rate of decay is 18%, which corresponds to answer choice A.

Answer:

A

Step-by-step explanation:

The linear relation is given by y = 6x + 24

And number of families will be attending the outing in 10th year is

y = 6*10 + 24 = 84 families.

The study of geometry using coordinate points is known as coordinate geometry (also known as analytical geometry). It is possible to determine the separation between two points, divide a line into m:n segments, locate a line's midpoint, determine the area of a triangle in the Cartesian plane, and perform other operations using coordinate geometry.

The x-axis (horizontal line) and the y-axis (vertical axis) are two perpendicular axes that split the number line, often referred to as a Cartesian plane, into four quadrants (vertical line).

The origin is the place where the axes come together. A pair of numbers (x, y) that describe a point's position on a plane are known as its coordinates.

A straight line is a line with an infinite length and no curves. A straight line can also be drawn between any two places, but its endpoints must stretch into the infinite. When two places A (x1, y1) and B (x2, y2) are connected by the shortest path possible, and the line ends are stretched to infinity, a straight line is the result.

Since the relation is linear we can consider this as a straight line in a cartasian plane with point (1,30) and (6,60)

So, the slope of the line is (60-30)/(6-1) = 30/5 =6

Let the linear relation be y = mx + c

where m is slope and c is y intercept

or, y = 6x + c

putting x = 1 and y = 30 we get,

c = 24

The linear relation is given by y = 6x + 24

And number of families will be attending the outing in 10th year is

y = 6*10 + 24 = 84 families.

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The value of df, when x = π/4 and dx = 1/24, is (-5π - 5√2)/(96√2).

To find the derivative of the function f(x) = -5cos(x) + xtan(x), we'll use the sum and product rules of differentiation. Let's start by finding df/dx.

Apply the product rule:

Let u(x) = -5cos(x) and v(x) = xtan(x).

Then, the product rule states that (uv)' = u'v + uv'.

Derivative of u(x):

u'(x) = d/dx[-5cos(x)] = -5 * d/dx[cos(x)] = 5sin(x) [Using the chain rule]

Derivative of v(x):

v'(x) = d/dx[xtan(x)] = x * d/dx[tan(x)] + tan(x) * d/dx[x] [Using the product rule]

= x * sec^2(x) + tan(x) [Using the derivative of tan(x) = sec^2(x)]

Applying the product rule:

(uv)' = (5sin(x))(xtan(x)) + (-5cos(x))(x * sec^2(x) + tan(x))

= 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Simplify the expression:

df/dx = 5xsin(x)tan(x) - 5xcos(x)sec^2(x) - 5cos(x)tan(x)

Now, we need to evaluate df/dx at x = π/4 and dx = 1/24.

Substitute x = π/4 into the derivative expression:

df/dx = 5(π/4)sin(π/4)tan(π/4) - 5(π/4)cos(π/4)sec^2(π/4) - 5cos(π/4)tan(π/4)

Simplify the trigonometric values:

sin(π/4) = cos(π/4) = 1/√2

tan(π/4) = 1

sec(π/4) = √2

Substituting these values:

df/dx = 5(π/4)(1/√2)(1)(1) - 5(π/4)(1/√2)(√2)^2 - 5(1/√2)(1)

Simplifying further:

df/dx = 5(π/4)(1/√2) - 5(π/4)(1/√2)(2) - 5(1/√2)

= (5π/4√2) - (10π/4√2) - (5/√2)

= (5π - 10π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

= (-5π - 5√2)/(4√2)

Now, to evaluate df/dx when dx = 1/24, we'll multiply the derivative by the given value:

df = (-5π - 5√2)/(4√2) * (1/24)

= (-5π - 5√2)/(96√2)

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Answer:

75 feet in 45 seconds

Step-by-step explanation:

*disclaimer*

dont know if this is how you were taught to do this but heres how i was:

\(6 sec /10 ft. = 45 sec / x\)

Set this up as a proportion.

Then multiply 10 ft by 45 sec, and 6 sec by x

Your equation then simplifies to

6x = 450

x = 75

All the solutions are,

⇒ x = 1/2 (w- v)

⇒ x = (b - 9)/(a - 2)

⇒ x = (4 + w) / (7 - v)

⇒ x = 2 / (v + w)

⇒ x = 7v/(3w - 4)

Given that;

Expressions are,

⇒ 6x + v = 4x + w

⇒ ax + 9 = 2x + b

⇒ 7x - w = vx+4

⇒ 6 - wx = vx + 4

⇒ 3(wx - v) = 4(x + v)

We can simplify as;

⇒ 6x + v = 4x + w

⇒ 6x - 4x = w - v

⇒ 2x = w - v

⇒ x = 1/2 (w- v)

⇒ ax + 9 = 2x + b

⇒ ax - 2x = b - 9

⇒ (a - 2)x = b - 9

⇒ x = (b - 9)/(a - 2)

⇒ 7x - w = vx+4

⇒ 7x - vx = 4 + w

⇒ (7 - v) x = 4 + w

⇒ x = (4 + w) / (7 - v)

⇒ 6 - wx = vx + 4

⇒ vx + wx = 6 - 4

⇒ (v + w)x = 2

⇒ x = 2 / (v + w)

⇒ 3(wx - v) = 4(x + v)

⇒ 3wx - 3v = 4x + 4v

⇒ 3wx - 4x = 7v

⇒ (3w - 4)x = 7v

⇒ x = 7v/(3w - 4)

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Answer:

17/42

Step-by-step explanation:

you have to add all the jobs/assistan/worlerst and then make it as your denominator and then add how many profferser and instructor there are and make that your numerator

i would go with either a or b

Step-by-step explanation:

Since an interior angle is 150 degrees, its adjacent exterior angle is 30 degrees.  Exterior angles of any polygon always add up to 360 degrees.  With the polygon being regular, we can just divide 360 by 30 to get 12 sides.

In this case, we'll have to carry out several steps to find the solution.

Step 01:

We must analyze the expressions to find the solution.

Step 02:

polynomial or not a polynomial

1. expression ===> not a polynomial

2. expression ===> not a polynomial

3. expression ===> not a polynomial

4. expression ===> polynomial

5. expression ===> not a polynomial

6. expression ===> not a polynomial

That is the full solution.

The equation y² - y²x = 6  can be describe as a function of x as:

y = √(6/(x - x)).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y² - y²x = 6

Taking y² as common.

y²(1 - x) = 6

Divide both sides with (1 - x).

y² = 6/(1 - x)

Square root on both sides.

y = √(6/(x - x))

This is a function of x.

Thus,

y = √(6/(x - x)) is a function of x.

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Answer:

Translations reflections, and rotations

are

Step-by-step explanation:

Hope this helps

Question 1 : Translations Reflections, And Rotations

Question 2 : And

◊ YusuCr ◊

The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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Answer:

x^2 + 4y^2 + 6x + 4

Step-by-step explanation:

Arranging the terms;

x ^ 2 + y^2 + 3y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 4x + 2x + 2 + 2

x^2 + 4y^2 + 6x + 2 + 2

x^2 + 4y^2 + 6x + 4

Answer:

wouldnt it be 8 im not sure tho

Step-by-step explanation:

The circumference of the circle is 62.8cm.

The Circumference of the circle is given by the formula,

Circumference = 2*\(\pi\)*r cm.........equation 1

Given, r = 10cm

On substituting the radius value in equation 1

Circumference = 2*\(\pi\)*10

Circumference = 62.8 cm

Therefore, the circumference of the circle is 62.8cm.

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Answer:

You have two brackets..divide them as

x-3=0 and x-2=0

so x=3, x=2

The solutions to the equation ( x – 3 )( x − 2 ) = 0 using factors equal to zero are x = 3 and x = 2.

To find the solutions to the equation ( x – 3 )( x − 2 ) = 0, we set each factor equal to zero and solve for x. This is because the product of two factors is equal to zero only if at least one of the factors is zero.

Setting ( x – 3 ) = 0:

x – 3 = 0

x = 3

Setting ( x − 2 ) = 0:

x − 2 = 0

x = 2

Therefore, the solutions to the equation ( x – 3 )( x − 2 ) = 0 are x = 3 and x = 2.

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