A barracuda swam directly toward a coral reef at a constant velocity for 9.6 seconds. It swam 72 meters in that time. What was its speed?

The formula for Permutation is,

The expression given is,

Given:

Plug in n = 9, r = 4

Simplify

Hence, the answer is 3,024.

Answer:

la respuesta correcta es laC

han ku po ammo paumahin

a) The statement BNC ≤ A → (CA) ∩ (B - A) is empty is valid.

b) The statement (A ∪ B) - (A ∩ B) = A → B is empty is invalid.

a) The statement BNC ≤ A → (CA) ∩ (B - A) is empty is valid. To prove its validity, we can use a direct proof.

Proof:

Assume BNC ≤ A. We want to show that (CA) ∩ (B - A) is empty.

Let x be an arbitrary element in (CA) ∩ (B - A). This means x is in both CA and (B - A).

Since x is in CA, it implies that x is in C and x is in A.

Since x is in (B - A), it implies that x is in B but not in A.

Therefore, we have a contradiction because x cannot be both in A and not in A simultaneously.

Hence, the assumption BNC ≤ A must be false, which means BNC > A.

Therefore, the statement BNC ≤ A → (CA) ∩ (B - A) is empty is valid.

b) The statement (A ∪ B) - (A ∩ B) = A → B is empty is invalid. To show its invalidity, we can provide a counterexample.

Counterexample:

Let A = {1, 2} and B = {2, 3}.

(A ∪ B) - (A ∩ B) = {1, 2, 3} - {2} = {1, 3}

However, A = {1, 2} is not empty, but B = {3} is not empty.

Therefore, the statement (A ∪ B) - (A ∩ B) = A → B is empty is invalid.

In summary:

a) The statement BNC ≤ A → (CA) ∩ (B - A) is empty is valid, proven by a direct proof.

b) The statement (A ∪ B) - (A ∩ B) = A → B is empty is invalid, as shown by a counterexample.

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a) The statement BNC ≤ A → (CA) ∩ (B - A) is empty is valid.

b) The statement (A ∪ B) - (A ∩ B) = A → B is empty is invalid.

a) The statement BNC ≤ A → (CA) ∩ (B - A) is empty is valid. To prove its validity, we can use a direct proof.

Assume BNC ≤ A. We want to show that (CA) ∩ (B - A) is empty.

Let x be an arbitrary element in (CA) ∩ (B - A). This means x is in both CA and (B - A).

Since x is in CA, it implies that x is in C and x is in A.

Since x is in (B - A), it implies that x is in B but not in A.

Therefore, we have a contradiction because x cannot be both in A and not in A simultaneously.

Hence, the assumption BNC ≤ A must be false, which means BNC > A.

Therefore, the statement BNC ≤ A → (CA) ∩ (B - A) is empty is valid.

b) The statement (A ∪ B) - (A ∩ B) = A → B is empty is invalid. To show its invalidity, we can provide a counterexample.

Counterexample:

Let A = {1, 2} and B = {2, 3}.

(A ∪ B) - (A ∩ B) = {1, 2, 3} - {2} = {1, 3}

However, A = {1, 2} is not empty, but B = {3} is not empty.

Therefore, the statement (A ∪ B) - (A ∩ B) = A → B is empty is invalid.

In summary:

a) The statement BNC ≤ A → (CA) ∩ (B - A) is empty is valid, proven by a direct proof.

b) The statement (A ∪ B) - (A ∩ B) = A → B is empty is invalid, as shown by a counterexample.

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Answer:

3*57=171

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

Well, 3 x 50 is 150 and 3 x 7 is 21 and 150 + 21 = 171

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

(G o o g l e)

Step-by-step explanation:

I hope this helps!

The rate of change of the function that has a graph that passes

through the points (-1, 3) and (-2,-4) is slope and is equal to 7.

We have given two points  (-1, 3) and (-2,-4) .

Rate of change of graph is given by slope

Using slope formula , we get

      m = -4 - 3 / -2 - (-1)

      m = -7 / -2 + 1

      m = -7 / -1

       m = 7

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Answer:

no

Step-by-step explanation:

From the table

when f(x) = - 4, then x = 2

Given the action of the change in demand for Margarine ''increase in quantity demanded'' is the reaction of producers in the margarine market to the new equilibrium price.

The worth of the final unit of consumption to a consumer is known as marginal value. An industry demand curve measures the value of a commodity to the consumer who purchased it but later receives the lowest value from consumption.

The reaction of the producers in the margarine market to the new equilibrium price, following the change in demand for margarine, will depend on the size and direction of the change in price. If the new equilibrium price is higher than the previous one, then producers will increase production to take advantage of the higher price. On the other hand, if the new equilibrium price is lower than the previous one, then producers will reduce production to avoid losses.

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The complete question is: Given the action of the change in demand for margarine, what is the reaction of the producers in the margarine market to the new equilibrium price?

a. Increase in quantity demanded

b. Increase in demand.

c. Increase in quantity supplied

d. Increase in supply.

Answer:

Choice A and C

Step-by-step explanation:

If 1 magnet costs $5, then 3 magnets cost $15 because adding 3 magnets to your bag, would equal to 5+5+5, or 5x3. If 1 bookmark cost $2, then 9 bookmarks would cost $18 to your bag, which would equal 9+9, or 9x2.

So, C is correct because 5x3 is 15, and 2x9 is 18. A is also correct because it's just the other way around, 2x9=18 and 5x3=15.

Answer:

I think that C) and D)

Step-by-step explanation:

I think this because if you look at 3.5 secounds it came down and after 1.75 secounds the ball hit the ground. A) wouldn't be because it came down at 3.5 secounds not coming up. B) wouldn't be because the ball droped after 1.75 secounds not come up.

Answer:

c

Step-by-step explanation:

I don't think I understand this one try graphs n diagram

Let's solve the given conversion and addition problems.

1. (0101)₂ = (10)₂

The binary number (0101)₂ is equivalent to the decimal number (10)₂.

2. (128)₈ = (88)₁₀

The octal number (128)₈ is equivalent to the decimal number (88)₁₀.

3. (AC)₁₆ = (172)₁₀

The hexadecimal number (AC)₁₆ is equivalent to the decimal number (172)₁₀.

4. (43)₈ = (100011)₂

The octal number (43)₈ is equivalent to the binary number (100011)₂.

5. (F4)₁₆ = (11110100)₂

The hexadecimal number (F4)₁₆ is equivalent to the binary number (11110100)₂.

6. (121)₁₀ = (1111001)₂

The decimal number (121)₁₀ is equivalent to the binary number (1111001)₂.

7. X = 1010111, Y = 1010011, X + Y = 1010111 + 1010011 = 10111010

Performing binary addition on X and Y, we get the sum (10111010).

8. X = 0010101, Y = 01001010, X + Y = 0010101 + 01001010 = 01011111

Performing binary addition on X and Y, we get the sum (01011111).

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The equation of the locus of the moving point that maintains a distance of 4 units from the X-axis is y = ±4, representing two parallel horizontal lines.

To find the equation of the locus of a point that always maintains a distance of 4 units from the X-axis, let's analyze the given information.

Let P(x, y) be the moving point and Q(x, 0) be the fixed point on the X-axis. The distance between P and Q is denoted by PQ. According to the problem, PQ is always 4 units.

Using the distance formula, we have:

PQ² = (x - x)² + (y - 0)²

Since the x-coordinate of both P and Q is the same (x - x = 0), the equation simplifies to:

PQ² = y²

Substituting the value of PQ as 4 units:

4² = y²

16 = y²

Taking the square root of both sides:

\(\sqrt{16 } = \sqrt{y^2}\)

±4 = y

Therefore, the y-coordinate of the moving point P can be either positive or negative 4, giving us two possible solutions for the y-coordinate.

Hence, the locus of the moving point P that maintains a distance of 4 units from the X-axis is given by the equation:

y = ±4

This equation represents two horizontal lines parallel to the X-axis, with y-coordinates at +4 and -4. Any point (x, y) on these lines will always be at a constant distance of 4 units from the X-axis.

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Answer:

51.75- 15= 36.75

36.75/3= 12.25 per ticket

Answer:

51.75 - 15 / 3

Step-by-step explanation:

$15 for a bucket of popcorn is separate from the tickets, so you subtract that from the sum.

Then you should have 36.75.

36.75 / 3 = 12.25

I hope this helped!

Stay safe! <3

Answer:

3 because of the negative relations

Answer:

Quadrant 4

Hope this works! :)

12/35 fraction of the total number is unused from two different cards.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Assuming the total first kind of card form is 1 and the total second kind of card form is also one.

Given, a company buys equal numbers of two different card forms. it utilizes 4/5 of one kind and 6/7 of the other.

∴ The total unused card form is,

= (1 + 1) - (4/5 + 6/7).

= 2 - (28 + 30)/35.

= 2 - 58/35.

= (70 - 58)/35.

= 12/35.

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Answer:

m=7/36

Step-by-step explanation:

we need two points in order to find the ratio of the change in y and change in x, which is the slope

m=(y-y1)/(x-x1) (you can choose any point as y1 but be careful that you use the corresponding x1 value in the denominator)

m=(11-4)/(17-(-19))

m=7/36

The Laplace transform of f(t) = cos²(t) is:

ℒ{f(t)} = (1 + s²) / (2s(s² + 4)).

To find the Laplace transform of f(t) = cos²(t), we can use the trigonometric identity:

cos²(t) = 1/2 (1 + cos(2t))

Applying this identity, we have:

ℒ{f(t)} = ℒ{1/2 (1 + cos(2t))}

Using the linearity property of the Laplace transform, we can split the transform of the sum into the sum of the transforms:

ℒ{f(t)} = 1/2 ℒ{1} + 1/2 ℒ{cos(2t)}

Now, we need to find the Laplace transforms of the individual terms.

The Laplace transform of the constant term 1 is:

ℒ{1} = 1/s

The Laplace transform of cos(2t) can be found using the property:

ℒ{cos(at)} = s / (s² + a²)

For our case, a = 2, so we have:

ℒ{cos(2t)} = s / (s² + 2²)

= s / (s² + 4)

Putting it all together, we have:

ℒ{f(t)} = 1/2 ℒ{1} + 1/2 ℒ{cos(2t)}

= 1/2 * (1/s) + 1/2 * (s / (s² + 4))

= 1/2s + s / (2s² + 8)

= (1 + s²) / (2s(s² + 4))

Hence, the Laplace transform of f(t) = cos²(t) is:

ℒ{f(t)} = (1 + s²) / (2s(s² + 4)).

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Answer:

A.

Step-by-step explanation:

using FIOL (first, inner, outer, last) to factor

The equation of the quadratic function is: f(x) = 3x² - 18x - 48

To find the equation of a quadratic function in standard form, we need to use the zeros of the function and one additional point.

Given that the zeros are x = 8 and x = -2, we can write the equation in factored form as:

f(x) = a(x - 8)(x + 2)

To find the value of "a," we can use the fact that f(2) = -72.

Substituting x = 2 into the equation, we have:

-72 = a(2 - 8)(2 + 2)

Simplifying, we get:

-72 = a(-6)(4)

-72 = -24a

Dividing both sides by -24, we find:

3 = a

Now that we know the value of "a," we can rewrite the equation in standard form:

f(x) = 3(x - 8)(x + 2)

So, the equation of the quadratic function is:

f(x) = 3x² - 18x - 48

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Answer:

A is the answer hope this helps

Answer:

See Below.

Step-by-step explanation:

We are given a point P(x, y). It is equidistant from A(3, 6) and B(-3, 4).

So, let's first determine the distance from P to each point. We can use the distance formula:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Segment PA:

We will let P(x, y) be (x₂, y₂) and A(3, 6) be (x₁, y₁). By substitution:

\(d=\sqrt{(x-3)^2+(y-6)^2\)

This represents the distance from P to A.

Segment PB:

Again, we will let P(x, y) be (x₂, y₂) and B(-3, 4) be (x₁, y₁). By the distance formula:

\(d=\sqrt{(x-(-3))^2+(y-4)^2}\)

We may simplify:

\(d=\sqrt{(x+3)^2+(y-4)^2}\)

Now, we know that the two distances are equivalent. Hence:

\(\sqrt{(x-3)^2+(y-6)^2}=\sqrt{(x+3)^2+(y-4)^2\)

Simplify. Square both sides:

\((x-3)^2+(y-6)^2=(x+3)^2+(y-4)^2\)

Square:

\((x^2-6x+9)+(y^2-12x+36)=(x^2+6x+9)+(y^2-8x+16)\)

Subtract all terms from the right:

\((x^2-6x+9)-(x^2+6x+9)+(y^2-12x+36)-(y^2-8x+16)=0\)

Distribute the negative:

\([(x^2-6x+9)+(-x^2-6x-9)]+[(y^2-12y+36)+(-y^2+8y-16)]=0\)

Rearrange:

\([(x^2-x^2)+(-6x-6x)+(9-9)]+[(y^2-y^2)+(-12y+8y)+(36-16)]=0\)

Combine like terms;

\((-12x)+(-4y)+(20)=0\)

We can divide both sides by -4:

\(3x+y-5=0\)

Finally, adding 5 to both sides produces:

\(3x+y=5\)

Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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Answer:

1. B

2. A

3. C

Step-by-step explanation:

Probability of pulling out the Blue Marbels = 4/9

Step-by-step explanation:

Red Marbels = 3

Blue Marbels = 4

Yellow Marbels = 2

Total Marbels = 9

P( Blue Marbels) = Number of favorable outcomes/Total number of possible outcomes = 4/9

Answer:

−5x−2

Step-by-step explanation:

The constant of variation is -4 and the quadrants in which the graph is located is the fourth quadrant.

An inverse function is a function that undoes the action of the another function.

A direct variation's constant of variation is the constant ratio of two variables.

The constant product between two variables represents a variation that is indirect.

Given that;

Inverse variation function = 8

Independent variable = -½

To find constant of variation, we know that;

For an inverse function

y = k/x

k = x × y

Plugging in the relevant values gives;

k = 8 × -½

k = - 4

Thus, the constant of variation is -4.

Also, the minus sign indicates that the constant of variation lies in the 4th quadrant of the graph.

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Answer:

Quadrants 2 & 4

K=-4

Answer:

A: -8-4

Step-by-step explanation:

Answer:

I think it is (-8,-4).

Step-by-step explanation:

I hope this helps.

The solution to the differential equation (x5 + 3y) dx - x dy=0 at x=2 is y=19. This can be found by integrating both sides of the equation, and then using the initial conditions x=1 and y=2.

First, we can integrate both sides of the equation to get:

x^5 + 3y = x^2 y + C

where C is an arbitrary constant.

Now, we can use the initial conditions x=1 and y=2 to find C. Plugging these values into the equation, we get:

1^5 + 3(2) = 1^2 (2) + C

Solving for C, we get C=1.

Finally, we can substitute this value of C back into the equation to get:

x^5 + 3y = x^2 y + 1

At x=2, this equation becomes:

2^5 + 3y = 2^2 y + 1

Solving for y, we get y=19.

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