Quadratic Graphs Investigation

Answer: (-3.5 + (-1.5))

Step-by-step explanation:

Given the expression :

The temperature in the morning was -3.5 °F. By noon, the temperature had dropped by 1.5 °F. Write an addition expression to represent this scenario.

Morning temperature : - 3.5°F

By Noon : change (drop) in temperature

Addition expression to represent the scenario :

A drop in temperature means a further reduction in the initial temperature level :

Addition expression :

(Morning temperature + ( - drop in temperature))

(-3.5 + (-1.5))

Answer:

The missing fraction is 6/12

(you can further simplify this but the question requires that you don't do that)

Step-by-step explanation:

To add fractions easily, their denominators should have the same value, so the denominator should be 12,

Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,

10 + x = 16

x = 16 - 10

x = 6

So, the numerator should be 6

so we get the fraction, 6/12

We can also solve it in an alternate way,

\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)

Answer:

11388

Step-by-step explanation:

Answer:

The answer to this question is 11,388

The solution to the system of equations y = 1.5x + 4 is x = 15/6 and y = 11.5.

The formula for solving a system of equations is:

Ax + By = C

Dx + Ey = F

Where A, B, C, D, and E are the coefficients of the variables x and y and C and F are the constants.

In this case, the system of equations is:

y = 1.5x + 4

This can be written as:

1.5x + y = 4

We can now use the formula to solve for x and y:

1.5x + y = 4

Dx + Ey = F

Multiply the first equation by -E and the second equation by A:

-E(1.5x + y) = -E(4)

A(Dx + Ey) = A(F)

Combine the equations and solve for x:

-E(1.5x) + (-E)(y) = -E(4)

A(Dx) + A(Ey) = A(F)

-E(1.5x) + A(Dx) = -E(4) + A(F)

(-E)(1.5x) + (-A)(Dx) = (-E)(4) + (-A)(F)

(1.5E + -AD)x = -E(4) + (-A)(F)

x = (-E(4) + (-A)(F))/(1.5E + -AD)

Substitute the values for E, A, D, F, and 4:

x = (-(-2) + (3)(-3))/(1.5(-2) + -(3))

x = (6 + 9)/(-3 + 9)

x = 15/6

Now we can use the first equation to solve for y:

y = 1.5x + 4

y = 1.5(15/6) + 4

y = 7.5 + 4

y = 11.5

Therefore, the solution to the system of equations y = 1.5x + 4 is x = 15/6 and y = 11.5.

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Step-by-step explanation:

a.
if x=-1 then,
y=2*(-1)-1
y=-2-1
y=-3

if y=-1 then,
-1=2x-1
-2x=-1+1
-2x=0
x=0

if x=1 then,
y=2*1-1
y=2-1
y=1

if y=3 then,
3=2x-1
-2x=-1-3
-2x=-4
-2/-2x=-4/-2
x=2

b.
if x=0 then,
0+y=-2
y=-2

if x=1 then,
y+1=-2
y=-1-1
y=-3

if x=2 then,
y+2=-2
y=-2-2
y=-4

if x=3 then,
y+3=-2
y=-2-3
y=-5

Answer: 29

Step-by-step explanatio?

Answer:

l don't understand your question.......sorry

Answer:

I think is The little (D) -12.4.

In this case, with the car's angle of sight increasing from 30 degrees to 45 degrees after traveling 10 miles, we can calculate that the height of the tower is approximately 5.77 miles or 30,461.76 feet.

1. To determine the height of the tower, we can use the tangent function, which relates the angle of elevation to the height and distance. Let's assume the height of the tower is represented by 'h'. When the car is at the starting point, the tangent of 30 degrees is equal to the height of the tower divided by the distance between the car and the tower (10 miles). So, we have tan(30) = h/10.

2. Similarly, when the car is 10 miles away from the starting point, the tangent of 45 degrees is equal to the height of the tower divided by the distance between the car and the tower (20 miles, considering the 10-mile distance already covered). So, we have tan(45) = h/20.

3. Now, we can solve these equations simultaneously to find the value of 'h'. By rearranging the equations, we get h = 10 * tan(30) and h = 20 * tan(45). Calculating these values, we find that h is approximately 5.77 miles or 30,461.76 feet.

4. Therefore, the height of the tower is approximately 5.77 miles or 30,461.76 feet.

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Answer:

Cost Of Kid's tickets =16.66

Cost of Adult's tickets=33.34

Step-by-step explanation:

The substitution v = y^1-n transforms the Bernoulli equation dy/dx + P(x)y = Q(x)y^n into the linear equation dv/dx+(1-n)P(x)v(x) = (1 - n)Q(x) is shown below.

An equation is in the form  

dy/dx +P(x)y=Q(x)yⁿ,  where P and Q are functions of x alone or constants, is called Bernoulli's equation.

The substitution using \(v = y^{1-n}\)

Differentiate both side with respect to 'x'

\(v^{'} = (1-n)y^{-n}y^{'}\)

\(\frac{dy}{dx} = \frac{1}{1-n} y^{n}v^{'}\)

we get, \(\frac{1}{1-n} y^{n}v^{'}\) + P(x)y = Q(x)yⁿ

= \(v^{'} + (1-n)P(x)y^{1-n} = (1-n)Q(x)\)

using \(v = y^{1-n}\)

The given equation is well expressed as:

\(v^{'} + (1-n)P(x)v = (1-n)Q(x)\)

or dv/dx + (1-n)P(x)v(x) = (1 - n)Q(x)

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Answer:

A

Step-by-step explanation:

Just graph it

The difference between the numbers given is 6.882.

Based on the information given, it should be noted that difference means subtraction.

The difference between the numbers given will be:

= 7 - (7 - 6.882)

= 7 - 0.118

= 6.882

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Answer:

x = 14

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

7x - 3 is an exterior angle of the triangle, thus

7x - 3 = 4x - 2 + 41

7x - 3 = 4x + 39 ( subtract 4x from both sides )

3x - 3 = 39 ( add 3 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

The given inequality is

First, we need to isolate y

To do that we want to move 2y from the right side to the left side, then

To do that subtract 2y from 3y and subtract 2y from (2y + 3)

Since 3y - 2y = 1y

Since 2y - 2y = 0

Since 0 + 3 = 3

Then the answer is

The answer is B

The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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Answer:

200cm

Step-by-step explanation:

The length of time, in seconds, that it will take for the scientist to travel back to sea level at 3.5 feet per second will be 5.0 seconds.

To calculate the amount of time, we will begin by calculating the distance traveled from sea level in all of the instances.

1. 112 seconds × 0.8 feet per second = 89.6 feet

2. 120 seconds × 0.6 feet per second = 72 feet

The distance from sea level is now: 89.6 feet - 72 feet

= 17.6 feet

The time, in seconds, that it will  take for the scientist to travel back to sea level at 3.5 feet per second will be:

17.6 feet ÷  3.5 feet per second

5.0 seconds to the nearest tenth.

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Answer:

6

Step-by-step explanation:

The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.

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The capacity of fish tank in quarts is 246.

Therefore the answer is 246.

A pint is a unit of volume in the US customary system of measurement and is equal to 16 fluid ounces. A quart is also a unit of volume in the US customary system of measurement and is equal to 32 fluid ounces or 2 pints.

There are 2 pints in 1 quart, so to convert from pints to quarts, we need to divide by 2.

The capacity of the fish tank in pints is 492.

Therefore, the capacity of the fish tank in quarts is

= 492 pints / 2 pints per quart

= 246 quarts

So, the capacity of the tank in quarts is 246 quarts.

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The value of x is 3.

Given that,

If  \(5 + 20 \times 2^{2-3x}\),

And Baseline = \(10 \times 2^{-2x}+5\)

We have to find,

The value of x?

According to the question,

To determine the value of x in the equation following all the steps given below.

Equation; \(\rm 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5\)

                   \(\rm5- 5 + 20 \times 2^{2-3x} = 10 \times 2^{-2x}+5-5\\\\\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}\)

                    \(\rm 20 \times 2^{2-3x} = 10 \times 2^{-2x}\\\\\dfrac{ 20 \times 2^{2-3x} }{10}= \dfrac{10 \times 2^{-2x}}{10}\\\\\rm 2 \times 2^{2-3x} = 2^{-2x}\)

                   \(\rm 2 \times 2^{2-3x} = 2^{-2x}\\\\2^1 \times 2^{2-3x} = 2^{-2x}\\\\2^{2-3x+1} = 2^{-2x}\\\\\)

                    \(\rm 2-3x+1 = -2x\\\\-3x+2x = -1-2\\\\-x = -3\\\\x=3\)

Hence, The required value of x is 3.

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The work done by the electrostatic force on a particle of charge q is calculated by the equation W = qE·(b-a), where E is the electric field and a and b are the starting and ending points of the particle's movement.

The work done by the electrostatic force on a particle of charge q can be calculated using the equation W = qE·(b-a), where q is the charge of the particle, E is the electric field, and a and b are the starting and ending points of the particle's movement. This equation states that the work done by the electrostatic force is equal to the charge of the particle multiplied by the electric field multiplied by the difference between the starting and ending points. This equation is useful when calculating the amount of work done by an electrostatic force on a particle, and is a core concept of electrostatics. In order for the equation to be applicable, it is important that the electric field remains constant over the distance between a and b. If the electric field changes, then the work done is calculated by integrating the equation over the entire path of the particle's movement.

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Answer:

n = 29/12 is the simplest form

Step-by-step explanation:

145 ÷ 60 = 29/12

Answer:

I think D sorry If I am wrong

Step-by-step explanation:

Answer:

x = 50°

Step-by-step explanation:

Since 2 sides of the triangle are congruent, then the triangle is isosceles.

Then the 2 base angles are congruent, thus

x = \(\frac{180-80}{2}\) = \(\frac{100}{2}\) = 50°

Answer:

44 gallons of water.

Step-by-step explanation:

Answer:

x < 4 or x > 6

Step-by-step explanation:

In order to solve for inequalities, we can solve them separately. Given the inequalities:

\(\displaystyle{4x-6 < 10 \ \: \text{or} \ \: 2x-4 > 8}\)

Solve like how you solve for the equation; isolate x-term:

\(\displaystyle{4x-6+6 < 10+6 \ \: \text{or} \ \: 2x-4+4 > 8+4}\\\\\displaystyle{4x < 16 \ \: \text{or} \ \: 2x > 12}\\\\\displaystyle{\dfrac{4x}{4} < \dfrac{16}{4} \ \: \text{or} \ \: \dfrac{2x}{2} > \dfrac{12}{2}}\\\\\displaystyle{x < 4 \ \: \text{or} \ \: x > 6}\)

Answer:

The correct answer is option B 12cm