ILL GIVE BRAINLIEST!!!!!

Answer:

A

Step-by-step explanation:

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

The three roots are going to give - 18 so only A and D can be correct. Why minus? because at some point 3 and 2 and - 3 will all be multiplied together. When they are, the result is - 18

So why did I write x + 2 rather than x - 2? Because the roots turn an equation into 0. You are looking for a way to make x + 2 = 0. It will do that when x = - 2

which is what you were given.

Now to get the answer

(x - 3)(x + 3) = x^2 - 9

(x^2 - 9)(x + 2) = x^3 + 2x^2 - 9x - 18 = f(x)

To find the volume of a rectangular fish tank, we need to multiply its length, width, and height together.

Given:

Length = cm

Width = cm

Height = cm

The volume of the fish tank is given by:

Volume = Length * Width * Height

Substituting the given values, we have:

Volume = cm * cm * cm

To find the actual volume in cubic centimeters (cm³), we can perform the multiplication using a calculator or multiplication tool. Multiply the three values together, making sure to use the appropriate key on your calculator for multiplication.

For example, if the length is 10 cm, width is 15 cm, and height is 20 cm, the calculation would be:

Volume = 10 * 15 * 20 = 3000 cm³

Therefore, the fish tank will hold 3000 cubic centimeters (cm³) of water.

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Answer:

Yes It will still be balanced.

Step-by-step Explanation:

Since the object is basically being cut in half, as long as the weight is still the same on each side, the balance should still be the same.

Answer:

Its C

Step-by-step explanation:

Answer:

90°

Step-by-step explanation:

The lines are perpendicular meaning that the bottom angle is the same as the top.

Answer:

Step-by-step explanation:

Height of the triangle = apothem = 9 inches

Base = 6 inches

\(Area \ of \ triangle = \frac{1}{2}bh\\\\=\frac{1}{2}*6*9\\\\= 3*9\\\\= 27 \ in^{2}\)

Area of regular polygon = Area of 5 triangle.

                                        = 5 * 27

                                        = 135 square inches

Answer:

13 - 6(2)

Step-by-step explanation:

I found this out because, since you have to subtract the 6 from the 13, the 13 will go first:

13 -

Then, you figure out what the 6 and two times means. It means 6 x 2, or 6(2):

13 - 6(2).

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Answer:

Step-by-step explanation:

\((1.6x + 7.3) + (-0.6x + 2) - (7.8 -3.4x)\\Ope- the- brackets\\1.6x+7.3-0.6x+2-7.8+3.4x\\Collect-like-terms\\1.6x-0.6x+3.4x+7.3+2-7.8\\4.4x+1.5\)

Answer:

4.4

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

there is a common difference between consecutive terms in the sequence, that is

8 - 13 = 3 - 8 = - 2 - 3 = - 7 - (- 2) = - 5

this indicates the sequence is arithmetic with nth term

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 13 and d = - 5 , then

\(a_{n}\) = 13 - 5(n - 1) = 13 - 5n + 5 = 18 - 5n

then

a₁₀₀ = 18 - 5(100) = 18 - 500 = - 482

The function y = e³r is a solution to the differential equation y" + 2y' - 15y = 0. The function y = c₁e^x + c₂xe is a solution to the differential equation y" - 2y + y = 0.

(a) To prove that y = e³r is a solution to y" + 2y' - 15y = 0, we need to substitute y and its derivatives into the differential equation and verify if the equation holds true. Let's calculate the first and second derivatives of y = e³r:

y' = 3e³r  (by the chain rule)

y" = 9e³r (by differentiating y' with respect to r)

Now, substitute y, y', and y" into the differential equation:

9e³r + 2(3e³r) - 15(e³r) = 9e³r + 6e³r - 15e³r = 0

Hence, the function y = e³r satisfies the given differential equation.

(b) For the differential equation y" - 2y + y = 0, let's substitute y = c₁e^x + c₂xe and its derivatives into the equation:

y' = c₁e^x + c₂e^x + c₂xe^x (using the product rule)

y" = c₁e^x + c₂e^x + c₂xe^x + c₂e^x + c₂xe^x (differentiating y' with respect to x)

Simplifying the equation:

(c₁e^x + c₂e^x + c₂xe^x + c₂e^x + c₂xe^x) - 2(c₁e^x + c₂xe^x) + (c₁e^x + c₂xe^x) = 0

By combining like terms, we get:

(c₁ + 2c₂)e^x + (4c₂)e^x = 0

Since the equation holds true for any values of c₁ and c₂, the function y = c₁e^x + c₂xe is a solution to the given differential equation.

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Answer:

1440°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

A decagon has 10 sides , then

sum = 180° × 8 = 1440°

Answer:

y=112

Step-by-step explanation:

set the two fractions equal to each other

Answer:

=14*28/3.5

=329/3.5

=112

Step-by-step explanation:

here is your answer

Answer:

21 = 3 * 7

33 = 3 * 11

HCF 3

Answer:

Yes, the segments would form a triangle.

Step-by-step explanation

If the two shortest lengths are equal to or greater than the longest, it can form a triangle.

Answer:

yes

Step-by-step explanation:

Add any two sides and see if it is greater than the third   for all three sides

4+10 > 12  true

10+12 > 4  true

12+4 > 10  true

Then the three sides form a triangle

Answer: 98 in2

• First let split the shape into 2 rectangles.

We’ll be using the formula: b•h (base times height)

• Small rectangle:

7x3 = 21

• Bigger rectangle:

7x11 = 77

• Now we add both, which is:

21 + 77 = 98

Answer:

1)13,750g

2)$8000

3)325 miles

Step-by-step explanation:

25×550=1375 because you buy $25 worth

16 ounces= 1 pound so 16×500=$8000

if I get 65 per 1 gallon then for 5 gallons I get 325 miles or 65×5=325

The solution to the linear programming problem 0.3x₁ + 0.1x₂ ≤ 1.8 using the simplex method shows that the problem has optimal solutions.)

Convert the inequality into an equation by subtracting 1.8 from both sides:
0.3x₁ + 0.1x₂ - 1.8 ≤ 0

Introduce slack variables to convert the inequality into an equation:
0.3x₁ + 0.1x₂ + s₁ = 1.8

Set up the initial simplex tableau:

┌───┬───┬───┬───┬───┐
│   │ x₁ │ x₂ │ s₁ │  1│
├───┼───┼───┼───┼───┤
│  1│ 0.3│ 0.1│  1  │1.8│
└───┴───┴───┴───┴───┘
```

Select the pivot column. Choose the column with the most negative coefficient in the bottom row. In this case, it is the second column (x₂).

Select the pivot row. Divide the numbers in the rightmost column (1.8) by the corresponding numbers in the pivot column (0.1) and choose the smallest positive ratio. In this case, the smallest positive ratio is 1.8/0.1 = 18. So the pivot row is the first row.


The simplex method is an iterative procedure that systematically improves the solution to a linear programming problem. It starts with an initial feasible solution and continues to find a better feasible solution until an optimal solution is obtained. In each iteration, the simplex method selects a pivot column and a pivot row to perform row operations, which transform the current tableau into a new tableau with improved objective function values. The process continues until the objective function values cannot be further improved or the linear programming problem is unbounded.

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The correct answer is

0.3x1+0.1x2≤2.7→0.3x1+0.1x2≤1.8 Work Through The Simplex Method Step By Step. How The Solution Changes (I.E., LP Has Optimal

Answer:

this is unsolvable because you dont know what the height in feet is

The schedule for the number of hours worked by employees at Waterloo Park is represented by the functions b(x), t(x), r(x), and s(x) for Bill, Ted, Rufus, and Socrates, respectively, on a given day x.

In the schedule, the function b(x) represents the number of hours worked by Bill on a given day x. Similarly, the function t(x) represents the number of hours worked by Ted, the function r(x) represents the number of hours worked by Rufus, and the function s(x) represents the number of hours worked by Socrates on the same given day x.

By using these functions, you can determine the specific number of hours each employee worked on any given day. For example, if you have a value for x, you can substitute it into the functions to find the corresponding number of hours worked by each employee.

It's important to note that the functions b(x), t(x), r(x), and s(x) are specific to Waterloo Park and the employees mentioned. The given schedule provides a way to track the hours worked by each employee on different days. By utilizing these functions, you can analyze and calculate the hours worked by each employee effectively.

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Answer:

x-intercept: (-1,0)

y-intercept: (0,3)

Vertex: (-2,-1)

Step-by-step explanation:

The experimental probability of rolling a 1 or a 2 is 0.2.

Hence, Option A is correct.

We know that,

The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.

In this case,

The event is rolling a 1 or a 3,

Which occurred ⇒  3 + 1

                           = 4 times.

Given that there are total number of trials = 20.

Therefore,

The experimental probability of rolling a 1 or a 3 = 4/20,

                                                                                = 1/5

                                                                                 = 0.2

Hence, the required probability is 0.2.

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The complete question is:

Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?

Number on cube:1,2,3,4,5,6

Number of times event occurs:3,6,1,5,3,2

A.0.2

B.0.3

C.0.6

D.0.83

The velocity of the mass at time (t=3)seconds is v(3) = 10cos(6) m/s.

The given position function of mass attached to a vertical spring is s(t)=5sin(2t)

where t is measured in seconds and

s is measured in inches.

In order to find the velocity at time (t=3)seconds, we need to differentiate the given position function to obtain the velocity function as follows:

\($v(t) = \frac{ds}{dt}$$$$\Rightarrow v(t) = \frac{d}{dt}(5\sin(2t))$$$$\Rightarrow v(t) = 10\cos(2t)$$\)

Hence, the velocity function for the given position function is (v(t)=10cos(2t)).

Now, substituting (t=3) seconds in the above velocity function, we get: \($$v(3) = 10\cos(6)$$\)

Therefore, the velocity of the mass at time (t=3)seconds is v(3) = 10cos(6) m/s.

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The car traveled a distance of 30.25 meters while braking.

When a car is brought to a full stop from an initial velocity of 22 m/s with an acceleration of -8 m/s^2, we can use the laws of motion to determine the distance traveled by the car while braking.

The relevant equation to use in this case is:

\(v^2 = u^2 + 2as\)

where v is the final velocity (which is 0, since the car comes to a full stop), u is the initial velocity (which is 22 m/s), a is the acceleration (which is \(-8 m/s^2\), since the car is decelerating), and s is the distance traveled while braking.

Substituting the given values into the equation, we get:

\(0^2 = (22 m/s)^2 + 2(-8 m/s^2)s\)

Simplifying this equation, we get:

\(0 = 484 m^2/s^2 - 16s\)

\(16s = 484 m^2/s^2\)

\(s = (484 m^2/s^2) / 16s = 30.25 m\)

Therefore, the car traveled a distance of 30.25 meters while braking.

This calculation shows that the distance traveled by the car while braking depends on the initial velocity of the car and the rate at which it decelerates. In this case, the car was traveling at a high initial velocity of 22 m/s and decelerated at a rate of -8 m/s^2, which resulted in a braking distance of 30.25 meters. If the initial velocity or the deceleration rate were different, the braking distance would also be different.

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The measure of this angle in degrees is 20.52 degrees.

Step by step explanation:Given data is,1/360th of the circumference of the circle is 0.59 cm long Arc length, s = 103.25 cm We need to find the measure of the angle in degrees. Since we know that, the angle subtended by an arc at the center of the circle is 2θ, where θ is the angle subtended by the arc at any point on the circumference of the circle.And the circumference of the circle is 360θ.

Hence, we can find the length of the circumference of the circle. Circumference of the circle = 360 × 0.59Circumference of the circle = 212.4 cmNow, we can find the radius of the circle.r = s/2πr = 103.25/(2 × π) = 16.441 cmDiameter of the circle = 2 × rDiameter of the circle = 32.882 cmThe circumference of the circle = πdCircumference of the circle = π × 32.882Circumference of the circle = 103.26 cm Now, we can find the angle of the circle. Angle of the circle = 360θ103.26 = 360θθ = 103.26/360θ = 0.286 degrees So, the measure of this angle in degrees is 20.52 degrees.

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Answer:

I guess its like this!!!!!!

The general solution for the given higher-order linear ODE is:
y(x) = y_c(x) + y_p(x) = C1 * e^(2x) + C2 * x * e^(2x) + (1/2) * x^2 * e^(2x)

To solve the given higher-order linear ODE, we need to find a particular solution for the equation:
y'' - 4y' + 4y = e^(2x)

First, we find the complementary function (solution of the homogeneous equation) by solving the characteristic equation:

r^2 - 4r + 4 = 0

(r - 2)^2 = 0

The roots are r1 = r2 = 2. Therefore, the complementary function is:
y_c(x) = C1 * e^(2x) + C2 * x * e^(2x)

Next, we find a particular solution y_p(x) by using the method of undetermined coefficients. Since the right-hand side of the equation is e^(2x), we can assume a particular solution of the form:

y_p(x) = A * x^2 * e^(2x)

Taking the first and second derivatives of y_p(x):

y_p'(x) = A * (2x * e^(2x) + 4x^2 * e^(2x))

y_p''(x) = A * (2 * e^(2x) + 8x * e^(2x) + 8x^2 * e^(2x))

Now substitute y_p, y_p', and y_p'' back into the given ODE:

A*(2 * e^(2x) + 8x * e^(2x) + 8x^2 * e^(2x)) - 4A*(2x * e^(2x) + 4x^2 * e^(2x)) + 4A*x^2 * e^(2x) = e^(2x)

Simplify and cancel out the terms:

2A * e^(2x) = e^(2x)

A = 1/2

Now we have the particular solution:
y_p(x) = (1/2) * x^2 * e^(2x)

The general solution for the given higher-order linear ODE is:
y(x) = y_c(x) + y_p(x) = C1 * e^(2x) + C2 * x * e^(2x) + (1/2) * x^2 * e^(2x)

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Answer:

an apple would remain

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

They are not similar because both don't have the same heights. and same lengths.

Height ( Triangle A ) : 8

Height ( Triangle B ) : 6

Length ( Triangle A ) : 24

Length ( Triangle B ) :  18

Easily compare them like ratios:

8:6 < 24:18

Triangle B. is bigger.

The value of the give expression is  \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴

From the question, we are to determine the value of

2(5+34-67/45*43)^2

This can be written as

\(2 (\frac{5+34-67}{45 \times 43 })^{2}\)

First, we will simplify the bracket

\(2 (\frac{-28}{1935 })^{2}\)

Then, we get

\(2 \times \frac{-28}{1935 }\times \frac{-28}{1935 }\)

= \(\frac{1568}{3744225}\)

= \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴

Hence, the value of the give expression is  \(\frac{313}{748845}\) OR 4.18 × 10⁻⁴

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Answer:

x = 5

Step-by-step explanation:

the 2 legs are congruent ( indicated by the double dash through both ), so

2x = 10 ( divide both sifes by 2 )

x = 5