Is (-2,3) a solution of the graphed inequality?

Answer:

4.5

Step-by-step explanation:

go crazy ahahahhahaa

The distance between the student's starting point and ending point is approximately 1.4 mi. The correct option is B.

We can use the Pythagorean theorem to find the distance between the student's starting point and ending point, which is the length of the straight line between the two points (i.e., the distance between the two points).

If we draw a diagram, we can see that the student's displacement forms the hypotenuse of a right triangle with legs of length 1.0 mi (the distance traveled due west) and 1.0 mi (the distance traveled due north).

So, we can use the Pythagorean theorem to find the length of the hypotenuse:

distance = √[(1.0 mi)² + (1.0 mi)²] ≈ 1.4 mi

Thus, the distance between the student's starting point and ending point is approximately 1.4 mi.

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The parametric equations for the two planes' line of intersection are:

x = (3/2) + (2/3)t

y = (2 + 4t)/3

z = t

To find parametric equations for the line of intersection of two planes, we need to find a direction vector for the line and a point that lies on the line.

First, we'll find a direction vector for the line. The direction vector will be orthogonal (perpendicular) to both normal vectors of the planes. We can find the normal vectors of the planes by looking at the coefficients of x, y, and z in each equation. The normal vector of the plane 2x - 2y + z = 1 is <2, -2, 1>, and the normal vector of the plane 2x + y - 3z = 3 is <2, 1, -3>. Therefore, a direction vector for the line is the cross product of these two normal vectors:

d = <2, -2, 1> x <2, 1, -3>

 = <-5, 8, 6>

Next, we need to find a point on the line. We can do this by solving the system of equations formed by the two planes. Subtracting the first equation from the second, we get:

3y - 4z = 2

We can solve for y in terms of z by setting z = t (a parameter) and solving for y:

y = (2 + 4t)/3

Substituting this value of y into the first equation, we get:

2x - 2((2 + 4t)/3) + t = 1

Simplifying, we get:

2x - (4/3)t = 3

Solving for x in terms of t, we get:

x = (3/2) + (2/3)t

Therefore, a point on the line is:

P = (3/2, 2/3, 0)

So, the parametric equations for the line of intersection of the two planes are:

x = (3/2) + (2/3)t

y = (2 + 4t)/3

z = t

where t is a parameter.

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Answer:

x = 10^4 =  10000

Step-by-step explanation:

log(x) = 4

x = 10^4

To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).

In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.

To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.

Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.

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Based on the calculations, the volume of this louvre pyramid is equal to 8,983 cubic meter..

Given the following data:

Base width = 35 meters.

Height = 22 meters.

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × base area × height

For the base area, we have:

Area = w²

Area = 35² = 1,225 m².

Substituting the parameters into the formula, we have;

Volume = 1/3 × 1,225 × 22

Volume = 1/3 × 26,950

Volume = 8,983 cubic meter.

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Answer:

45.56

Step-by-step explanation:

25 percent of $36.45 = $9.11

How Much is the tip on $36.45?

Step-by-step explanation:

x=12

y=3

where k is a constant

k=12

=3

cross multiply

3k=x(when x is 12)

where k is a constant

Answer:4323.78cm^3

Step-by-step explanation:

The equation of the translated function is:

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

We can see that the blue graph is a translation of the red one, where the equation for the red graph is:

f(x) = x^2

Remember that the translations are:

Horizontal translation:

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

If N is positive, the shift is to the left.

If N is negative, the shift is to the right.

Vertical translation:

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

If N is positive, the shift is upwards.

If N is negative, the shift is downwards.

By analyzing the vertices, we can see that the vertex of the blue graph is at (-3, -2) so we have a translation of 3 units to the left and 2 units down, meaning that we have:

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

So the correct option is A.

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The number of subs in the order is 8 or 9

Let's call the number of subs in the order "x".

Since the cost of 3 subs is $20, the cost per sub is $20 / 3 = $6.67.

And since the cost of 4 subs is $26, the cost per sub is $26 / 4 = $6.50.

So the cost per sub is between $6.50 and $6.67.

If the total cost is $56, then the cost per sub must be $56 / x.

So:

x = 56/6.5 or x = 56/6.67

Evalutate

x = 8.6 or x = 8.4

Approximate

x = 9 or 8

Hence, the subs is 8 to 9

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1. Terminating Decimal

2. Repeating Decimal

3. Integer

4. Fraction

The solutions of the blanks are 1) Terminating numbers 2)Repeating numbers 3) Integers 4) Fractions.

Terminating numbers - The numbers which have a finite number of digits after the decimal point are called Terminating numbers i.e. they have ending decimals.

Example = 3.45 , 2.81.

Repeating numbers = The number that repeats itself periodically after decimals is called Repeating numbers.

They are also called recurring numbers or non repeating numbers.

They may be in a particular pattern or a single number may repeat.

Example :  2.1414141414…….

                 3.33333333

                17.325893258932589……..

Fractions - Fraction is defined as a part of a whole . The upper part of the fraction is called numerator and the lower part is called denominator.The three main types of fractions are proper fraction , improper and mixed fraction, apart from them there are unit fraction, like fraction and unlike fraction.

Example 4/7

Integers - The numbers which are on the number line is called a Integers

Integers include positive numbers , negative numbers including zeroes.

Example = -4, 6, 0

The answers  of the given blanks are  1) Terminating numbers 2)Repeating numbers 3) Integers 4) Fractions.

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The sales price of the item is $48.

The sale price of an item that costs 60% of its original price which is $80 is $48. The original price of the item is $80, and it costs 60% of the original price. The amount of money we'll be spending is calculated as follows: 60 per cent of $80 (60/100) × $80= $48 Therefore, the sales price is $48. The percentage discount for the item is calculated as follows:$80 - $48 = $32

$32 is the amount of money saved due to the discount, which is then divided by the original price, $32/$80 = 0.4 or 40%. Thus, there was a 40% discount on the original price.

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Answer:

It should be d, The bases do not have the same area because the volumes are not the same.

Step-by-step explanation:

did it on the unit review test

The bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights.

The volume of a cone is given by the formula:

A = πr²h/3

The volume of a cylinder is given by the formula:

A = πr²h

It is given that the height of both the cylinder and the cone is the same.

This means that the only way variable that influences the volume is the radius of the base.

The volume of the cylinder is three times the volume of the cone when the radius and height are equal.

But the volume of the cylinder is two times the volume of the cone in the given question.

This means that they have different radii which means that the bases are different.

Therefore, we have found that the bases do not have the same area because the volume of the cylinder is not 3 times the volume of the cone, given the same heights. The correct answer is option D.

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If Jamie bought 2 1/3 lbs of oranges, 4 1/6 lbs of apples, and 3 1/9 lbs of peaches, Jamie has 9 11/18 pounds of fruit altogether.

Add the weights of oranges, apples, and peaches to find the total pounds.

Convert the mixed fractions into improper fractions for easier calculation:

2 1/3 lb = (2 × 3 + 1) / 3 = 7/3 lb

4 1/6 lb = (4 × 6 + 1) / 6 = 25/6 lb

3 1/9 lb = (3 × 9 + 1) / 9 = 28/9 lb

Now, we can add the fractions:

7/3 lb + 25/6 lb + 28/9 lb

To add these fractions, we need a common denominator, which is the least common multiple of 3, 6, and 9, which is 18.

Converting the fractions to have a common denominator:

(7/3)(6/6) lb + (25/6)(3/3) lb + (28/9)(2/2) lb

This becomes:

42/18 lb + 75/18 lb + 56/18 lb

Adding the fractions together:

(42 + 75 + 56) / 18 lb = 173/18 lb

The result is an improper fraction. To express it as a mixed number, we divide the numerator (173) by the denominator (18):

173 ÷ 18 = 9 with a remainder of 11

Therefore, Jamie has 9 11/18 pounds of fruit altogether.

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Answer:

(2,7)

Step-by-step explanation:

y=6x-5

y=x+5

Since they are both equal to y, set them equal to each other

6x-5 = x+5

Subtract x from each side

6x-x-5 = x+5-x

5x-5 = 5

Add 5 to each side

5x-5 +5 = 5+5

5x=10

Divide by 5

5x/5 = 10/5

x=2

y = x+5

y = 2+5

y =7

Answer:

Choice C: (2,7)

Step-by-step explanation:

Using substitution method let y = x + 5

We have x + 5 = 6x - 5

Get let’s get rid of the 6x, so -5x + 5 = -5

Get rid of the 5 by subtracting by 5, so -5x = -10

Divide -5 on both sides and you get x = 2

Input 2 for x in y = x + 5, we get y = 2 + 5, which equals 7.

So (2,7)

Please mark BRAINLIEST!

Answer:

\(y = -2x + 4\)

Have a fantastic day!^^

The pair of expressions which represents the price of an order that was originally x dollars are x - 0.15x and 0.85x

Percentage discount = 15%

Original price of an order = x dollars

New price = Original price of an order - (Percentage discount × Original price of an order)

= x - (15% of x)

= x - 0.15x

= 0.85x

Therefore, x - 0.15x and 0.85x are the expressions which represent the price of an order that was originally x dollars

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If the company has spent 15 hours working on the project and estimates that they only have 5% of the project done, it means that they have 95% of the project left to complete.

Let's use "x" to represent the total time needed to complete the project.

Using proportions, we can set up the following equation:

15 / x = 5 / 100

To solve for "x", we can cross-multiply and simplify:

15 * 100 = 5 * x

1500 = 5x

x = 1500 / 5

x = 300

Therefore, the whole project will take 300 hours to complete.

Answer:

Step-by-step explanation:

Prove that,

−5(x+8) = −25 then x = -3

−5(x+8) = −25

By distributive property,

-5x - 40 = -25

Adding 40 to both sides, that is, Additive property of equality

-5x - 40 + 40 = -25 + 40

-5x = 15

Divide both sides by -5, that is Division property of equality

-5x / -5 = 15 / -5

x = -3

Hence, x = -3 has been proved

Answer:

Statement                                           Reason

1. -5(x+8)=-25                                       Given

2. −5(x+8) −5=−25/−5                      Division Property of Equality

3. X+8=5                                              Simplifying

4. x+8−8=5−8                                      Subtraction Property of Equality

5. x=−3                                              Simplifying

Answer:

31.42

Step-by-step explanation:

Answer:

x=10.5 or x=6=x=−7

Step-by-step explanation:

x+x^2+2=44

x+x(x)+2=44

2x(x)+2=44 1. -2 on both sides

2x^2=42

2x(2x)=42

4x=42 2. /4 on both sides

x=10.5

Answer:

x = -7, 6.

Step-by-step explanation:

x+x2 +2=44

x^2 + x - 42 = 0

(x - 6)(x + 7) = 0

x =-7, 6

It will take Joe 5 hours to reach Chicago.

To calculate the time it will take for Joe to reach Chicago, we can use the formula:

Time = Distance / Rate

Given that Joe drives 325 miles at a constant rate of 65 mph, we can plug these values into the formula:

Time = 325 miles / 65 mph = 5 hours

The correct answer is:

C) 5 hrs.

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The value of C from the column value table is C = 40

Given data ,

Let the table be represented as T

where ,

6 B D

10 25 35

A C 56

Now , the ratio of the table values is r = 35 / 56

r = 5 / 8

So , from the proportion , the value of C is

25 = ( 5/8 ) C

Multiply by 8 on both sides , we get

5C = 200

Divide by 5 on both sides ,we get

C = 40

Hence , the proportion is solved and C = 40

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Answer:

the correct answer would be 13.5

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).

Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3

The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

Given:

f(x) = 4x² + 1 and g(x) = x² - 3

a) (f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

substitute the value of g(x) in the above equation, and we get

    = 4(x⁴ - 24x + 9) + 1

simplifying the above equation

    = 4x⁴ - 96x + 36 + 1

    = 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

      = 16x⁴ + 8x² + 1 - 3

simplifying the above equation

      = 16x⁴ + 8x² - 2

(g o f)(x) = 16x⁴ + 8x² - 2.

Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

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Answer:

14 units

Step-by-step explanation:

Area is l*w and since the length is known, solve for width

182/13=13w/13

w=14

Answer:

14 units

Step-by-step explanation:

Given, the area of rectangle = 182 square units

length = 13 units

width = ?

By using the formula to find the area of a rectangle, we have

area of rectangle = length * width

182 = 13 * width

182/13 = width

14 units = width

To accurately assess the financial situation and determine the appropriate course of action, Medford should consider the following steps:

1. Review the terms of the agreement:

2. Communication with the customer:

3. Invoice reminders:

4. Late payment penalties or incentives:

5. Legal recourse:

The specific actions Medford should take will depend on various factors, including the nature of the agreement and local laws governing debt collection. It's recommended to consult with a qualified accountant or attorney to ensure compliance with applicable regulations and to determine the most appropriate steps for collecting the remaining $12,000.

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Answer:

I can't understand the question

Answer:

There ain't no picture

ep-by-step explanation: