Hey I need help on this question thanks Love ya'll so much!

Answer:

No, it's just maximum of two tables that lost balloon so there is no way it affected each table.

Step-by-step explanation:

Number of balloons purchased= x

Number of tables = 8.

Each table has = x/8 balloons

If 2 balloons pop.

Let's assume it's just from a table

That table has( x/8 -2)

If it's from 2 table

The two table has

(X/8-1) for both tables

But the total balloon remaining = x-2

There is no particular equation that can describe the gallon on each table because it's only two balloons that popped.

Answer:

That expression is not true. To evenly distribute the balloons you use x/8. Then you subtract 2 balloons from that total amount. The subtraction must be done after the division. There will not be the same number of balloons at each table.

Step-by-step explanation:

It was the sample answer.

Answer:

1 and 3; 2 and 4

Step-by-step explanation:

As these are vertically opposite angles... and do not form linear pairs hence

Therefore, the directional derivative of f at P=(1,-1,-2) in the direction of A=3i+2j-6k is -2.

To find the directional derivative of f(x,y,z) at P=(1,-1,-2) in the direction of A=3i+2j-6k, we first need to find the gradient of f at P, which is given by:

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

Here, f(x,y,z) = xy + yz + zx, so we have:

∂f/∂x = y + z

∂f/∂y = x + z

∂f/∂z = x + y

Thus, at P=(1,-1,-2), we have:

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

= (y+z)i + (x+z)j + (x+y)k

= (0+(-2))i + (1+(-2))j + (1+0)k

= -2i - 1j + 1k

Next, we need to find the unit vector in the direction of A:

|A| = sqrt(3^2 + 2^2 + (-6)^2) = 7

u = A/|A| = (3/7)i + (2/7)j - (6/7)k

Finally, we can compute the directional derivative of f at P in the direction of A as:

(DAf) | 1(1,-1,-2) = ∇f(P) · u

= (-2i - 1j + 1k) · (3/7)i + (2/7)j - (6/7)k

= -6/7 - 2/7 - 6/7

= -2

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Answer:

The sea lion dives 24 feet.

Step-by-step explanation:

A seal (S) dives 15 feet.

A sea lion (SL) dives 6 feet less than 2 times the seal's dive.  That can be expressed as:

SL = 2S -6

Since we know S = 15, we can say:

SL = 2*(15) - 6

SL = 24 feet

The sea lion dives 24 feet.

Answer: Parallel

Step-by-step explanation:

if two secanys of a circle are made them they cut off congruent arcs

Answer:

A

Step-by-step explanation:

9 - 28 = -15

The inequalities are y ≥ (2/3)x + 1 and y < (-1/4)x + 2 and (−6, −3) satisfied the inequality.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given phrase,

y is greater than or equal to two-thirds times x plus 1 ⇒ y ≥ (2/3)x + 1

y is less than negative one-fourth times x plus 2 ⇒ y < (-1/4)x + 2

Substitute, point (−6, −3)

-3 ≥ (2/3)(-6) + 1

-3 ≥ -3  

Substitute in second inequality,

-3 < (-1/4)(-6) + 2

-3 < 7/2

Hence "The inequalities are y ≥ (2/3)x + 1 and y < (-1/4)x + 2 and (−6, −3) satisfied the inequality".

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The solution to the inequality x^4 - x^3 - 16x^2 - 20x ≤ 0 is {-2 U [0,5] }

To solve the inequality x^4 - x^3 - 16x^2 - 20x ≤ 0 algebraically, we can follow these steps:

1. Factor the expression,

x^4 - x^3 - 16x^2 - 20x ≤ 0

x(x+2)^2(x-5)≤ 0

2. Identify the critical points by setting the expression equal to zero and solving for x. To find the critical points, we need to solve the equation x(x+2)^2(x-5)=0.

The critical points are -2,  0,  5.

3. Use the critical points to create test intervals.

x=-2 or 0≤ x≤ 5

The solution to the inequality x^4 - x^3 - 16x^2 - 20x ≤ 0 is {-2 U [0,5] }

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The scalar product, also known as the dot product, is a mathematical operation that calculates the angle between two vectors. In this case, vectors a and b, given by a = 4.0i^ + 4.0j^ + 4.0k^ and b = 7.0i^ + 9.0j^ + 5.0k^.

To find the angle between these vectors, we can use the formula for the scalar product: a⋅b = |a||b|cosθ, where |a| and |b| represent the magnitudes of vectors a and b, respectively, and θ is the angle between them.

First, let's calculate the magnitudes of vectors a and b:

|a| = √(4.0^2 + 4.0^2 + 4.0^2) = √48 = 4√3

|b| = √(7.0^2 + 9.0^2 + 5.0^2) = √155

Now, we can substitute the values into the scalar product formula:

a⋅b = (4.0)(7.0) + (4.0)(9.0) + (4.0)(5.0) = 28.0 + 36.0 + 20.0 = 84.0

Next, we can solve for cosθ:

84.0 = (4√3)(√155)cosθ

cosθ = 84.0 / (4√3)(√155)

Finally, we can find the value of θ by taking the inverse cosine (arccos) of cosθ:

θ = arccos(84.0 / (4√3)(√155))

Therefore, the angle between vectors a and b is given by θ = arccos(84.0 / (4√3)(√155)).

The angle between the vectors a = 4.0i^ + 4.0j^ + 4.0k^ and b = 7.0i^ + 9.0j^ + 5.0k^ can be calculated using the scalar product formula. By substituting the magnitudes and calculating the dot product, we can find cosθ. Taking the inverse cosine of cosθ gives us the angle θ, which represents the angle between the two vectors.

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A Cartesian coordinate system is a coordinate system that employs a pair of perpendicular number lines, one horizontal axis and the other vertical axis.

Each point in the plane is defined by an ordered pair of numbers known as its coordinates. plot an athlete running from point A (3,0) to point B (0,5) then to point C (-4,-2) and ending at point D (3, -1) and clear marking of your coordinate system and plotting your athlete’s movement, using vector arrows depicting direction.

Step 1: Determine the maximum and minimum values on the x-axis and y-axis. Choose suitable values for both axes.
Step 2: Draw a horizontal x-axis and a vertical y-axis intersecting at the origin (0, 0). Ensure that the length of the axes is sufficient to accommodate the points.
Step 3: On the x-axis, mark the point A (3,0) which is located 3 units from the origin towards the right. Label the point A.
Step 4: On the y-axis, mark the point B (0,5) which is located 5 units from the origin towards the top. Label the point B.
Step 5: On the x-axis, mark the point C (-4,-2) which is located 4 units from the origin towards the left. Label the point C.
Step 6: On the y-axis, mark the point D (3,-1) which is located 1 unit from the origin towards the bottom. Label the pointD.
Step 7: Join the points A, B, C, and D to form a quadrilateral.
Step 8: Draw vectors (vector arrows) that depict the movement of the athlete in the order from A to B, from B to C, and from C to D. Repeat this for all the movements of the athlete from A to B, from B to C, and from C to D.

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Answer:The answer is B.

He can't work more than 20 hours so t+b must be less than or equal to 20.

He has to earn $150 so it cannot be less than 150. Theoretically he could earn more, e.g doing 10 hours of each job which equals $230

Therefore t + b less than or equal to 20 15t + 8b greater than or equal to 150

Step-by-step explanation:

The correct option regarding the scale factor and the statement in this problem is given as follows:

D. The statement is false. Because there are 3 feet in one​ yard, there are 9 square feet in one square yard.

The scale factor between the length dimensions of the yard are given as follows:

3 feet = 1 yard.

(as these length dimensions are given in yards).

Then for the square units, the correct scale factor is found applying the proportion as follows:

(3 feet)² = (1 yard)².

9 feet squared = 1 square yard.

Hence the statement given in this problem, that because there are 3 feet in one​ yard, there are also 3 square feet in one square yard, is false, and the correct option is given by option D.

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Answer:

The statement that is FALSE is b) "The area is 26ft²".

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

Answer:3

Step-by-step explanation:

20-9.50=11-3.50

L over 3 equals 9; L = 27 feet.

Answer:

The third one

the Length (L) is 27 since L/3

Answer:

first problem: 1,2,4

second problem: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

2) ∠A + ∠B = 146       {Exterior angle theorem}

5y + 3 + 4y + 8 = 146

5y + 4y + 3 + 8 = 146           {combine like terms}

         9y + 11 = 146

               9y = 146 -11

               9y = 135

                 y = 135/9

y = 15

3) m∠A = 5y + 3

              = 5*15 + 3

              = 75 + 3

∠A = 78

4) m∠B = 4y + 8

            = 4*15 + 8

            = 60 + 8

      m∠B = 68

5) m∠ACB + m∠A + m∠B = 180   {Angle sum property of triangle}

 m∠ACB  + 78 + 68 = 180

           m∠ACB + 146 = 180

                       m∠ACB = 180 - 146

                      m∠ACB = 34

Answer:

y = 2/3 x + 5/3.

Step-by-step explanation:

Slope m = (3-1)/(2-(-1)) = 2/3.

y - y1 = m(x - x1)

y - 1 = 2/3(x - (-1))

y - 1 = 2/3(x + 1)

y - 1 = 2/3 x+ 2/3

y = 2/3 x + 5/3.

Answer:

2674

Step-by-step explanation:

add all of them together like this

2000

600

70

4

-------

2674

Answer: 2,674

Step-by-step explanation: Add all of the numbers. An easier way to do it is just to take the first number of each addend and piece them all together.

Extra Example: 400 + 20 + 7

400: Take the 4.

4

20: take the 2.

42

7: Take the 7.

427

Therefore, 400 + 20 + 7 in standard form is 427

Answer:

17.5

Step-by-step explanation:

y=kx

35=140k

k= 35/140

k= 1/4

y=1/4X

when X=70

y= 1/4*70

y= 17.5

The can is shaped like a cylinder. The volume of a cylinder is:

V= pir²*h

As the volume is 791.7 cm³ and the radius is 6cm, let's consider pi as 3.14 ans solve the equation.

V=pir²*h

791.7= 3.14*6²*h

791.7 = 113.04h

h = 7.003

h = 7 cm

Answer: h= 7cm

The derivative \(\( y' \)\) of the implicit function \(\( y^2 - xy = -2 \)\) is 0, indicating a constant slope with no change in relation to \(\( x \)\).

To find \(\( y' \)\)for the implicit function \(\( y^2 - xy = -2 \)\), we can differentiate both sides of the equation with respect to \(\( x \)\) using the chain rule. Let's go step by step:

Differentiating \(\( y^2 \)\) with respect to \(\( x \)\) using the chain rule:

\(\[\frac{d}{dx}(y^2) = 2y \cdot \frac{dy}{dx}\]\)

Differentiating \(\( xy \)\) with respect to \(\( x \)\) using the product rule:

\(\[\frac{d}{dx}(xy) = x \cdot \frac{dy}{dx} + y \cdot \frac{dx}{dx} = x \cdot \frac{dy}{dx} + y\]\)

Differentiating the constant term (-2) with respect to \(\( x \)\) gives us zero since it's a constant.

So, the differentiation of the entire equation is:

\(\[2y \cdot \frac{dy}{dx} - (x \cdot \frac{dy}{dx} + y) = 0\]\)

Now, let's rearrange the terms:

\(\[(2y - y) \cdot \frac{dy}{dx} - x \cdot \frac{dy}{dx} = 0\]\)

Simplifying further:

\(\[y \cdot \frac{dy}{dx}\) \(- x \cdot \frac{dy}{dx} = 0\]\)

Factoring out:

\(\[(\frac{dy}{dx})(y - x) = 0 \]\)

Finally, solving:

\(\[\frac{dy}{dx} = \frac{0}{y - x} = 0\]\)

Therefore, the derivative \(\( y' \)\) of the given implicit function is 0.

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Answer: 1/6.

Step-by-step explanation:

3/18 is just 1/6 because you have to divide the numerator and denominator by 3.

Answer:

1

Step-by-step explanation:

17 is a prime number, so only 1 and 17 are its factors. 17 is not a factor of either 22 or 46, but 1 is.

Identifying Eigenvalues and Eigenvectors, A should be a n x n matrix. By resolving the det(λI−A)=0 problem, first determine the eigenvalues of A. Find the fundamental solutions to (λI−A)X=0 to determine the fundamental eigenvectors X≠0 for each.

In linear algebra, a nonzero vector is said to have an eigenvector, or characteristic vector, when a linear transformation is applied to it; this characteristic vector only changes by a scalar amount. The scaling factor for the eigenvector is known as the associated eigenvalue, frequently represented by the symbol. Linear transformations are made intelligible by the usage of eigenvectors. Eigenvectors can be thought of as a non-directional stretching or compressing of an X-Y line chart. In mathematics, eigenvalues are regarded as the factor by which a transformation is stretched, whereas eigenvectors are the real non-zero eigenvalues that point in the direction stretched by the transformation. The direction of the transformation is negative if the eigenvalue is negative.

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To solve the initial value problem y" + 4y = 4u_n(t), where y(0) = 0 and y'(0) = 1, we will follow these steps:

a. Find the Laplace transform of the solution y(t).

The Laplace transform of the given differential equation can be obtained using the properties of the Laplace transform. Taking the Laplace transform of both sides, we get:

s^2Y(s) - sy(0) - y'(0) + 4Y(s) = 4U_n(s),

where Y(s) represents the Laplace transform of y(t) and U_n(s) is the Laplace transform of the unit step function u_n(t).

Since y(0) = 0 and y'(0) = 1, the equation becomes:

s^2Y(s) - s(0) - 1 + 4Y(s) = 4U_n(s),

s^2Y(s) + 4Y(s) - 1 = 4U_n(s).

Taking the inverse Laplace transform of both sides, we obtain the solution in the time domain:

y''(t) + 4y(t) = 4u_n(t).

b. Find the solution y(t) by inverting the transform.

To find the solution y(t) in the time domain, we need to solve the differential equation y''(t) + 4y(t) = 4u_n(t) with the initial conditions y(0) = 0 and y'(0) = 1.

The homogeneous solution to the differential equation is obtained by setting the right-hand side to zero:

y''(t) + 4y(t) = 0.

The characteristic equation is r^2 + 4 = 0, which has complex roots: r = ±2i.

The homogeneous solution is given by:

y_h(t) = c1cos(2t) + c2sin(2t),

where c1 and c2 are constants to be determined.

Next, we find the particular solution for the given right-hand side:

For t < n, u_n(t) = 0, and for t ≥ n, u_n(t) = 1.

For t < n, the particular solution is zero: y_p(t) = 0.

For t ≥ n, we need to find the particular solution satisfying y''(t) + 4y(t) = 4.

Since the right-hand side is a constant, we assume a constant particular solution: y_p(t) = A.

Plugging this into the differential equation, we get:

0 + 4A = 4,

A = 1.

Therefore, for t ≥ n, the particular solution is: y_p(t) = 1.

The general solution for t ≥ n is given by the sum of the homogeneous and particular solutions:

y(t) = y_h(t) + y_p(t)

y(t) = c1cos(2t) + c2sin(2t) + 1.

Using the initial conditions y(0) = 0 and y'(0) = 1, we can determine the values of c1 and c2:

y(0) = c1cos(0) + c2sin(0) + 1 = c1 + 1 = 0,

c1 = -1.

y'(t) = -2c1sin(2t) + 2c2cos(2t),

y'(0) = -2c1sin(0) + 2c2cos(0) = 2c2 = 1,

c2 = 1/2.

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Answer:

Step-by-step explanation:

The answer is Samples. A sample is a random selection of members of a population. It is a smaller group drawn from the people with the entire population's characteristics.

I hope I have helped.

If a store sells two types of shirts. The number of short-sleeved shirts that were sold than long-sleeved shirts is 24 shirts.

Number of short-sleeved shirts sold =S

Number of long-sleeved shirts sold = L

we know that:

s + l = 48 (equation 1) -- Total number of shirts sold

12s + 16l = 624 (equation 2) -- Total cost of shirts sold

To solve for the number of short-sleeved shirts sold, we can use equation 1 to express "l" in terms of "s":

l = 48 - s

Substituting this into equation 2

12s + 16(48 - s) = 624

Simplifying and solving for "s"

12s + 768 - 16s = 624

-4s = -144

s = 36

Therefore, 36 short-sleeved shirts were sold.

To find the number of long-sleeved shirts sold, we can use equation 1 again:

s + l = 48

36 + l = 48

l = 12

Therefore, 12 long-sleeved shirts were sold.

How many MORE short-sleeved shirts were sold than long-sleeved shirts,:

36 - 12 = 24

So, 24 MORE short-sleeved shirts were sold than long-sleeved shirts.

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Answer:

x = 15

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

\(\frac{MP}{XZ}\) = \(\frac{NP}{YZ}\) ( substitute values )

\(\frac{x+5}{30}\) = \(\frac{4x-10}{75}\) ( cross- multiply )

30(4x - 10) = 75(x + 5) ← distribute parenthesis on both sides

120x - 300 = 75x + 375 ( subtract 75x from both sides )

45x - 300 = 375 ( add 300 to both sides )

45x = 675 ( divide both sides by 45 )

x = 15