(a) Latoya lost 60 dollars from her pocket.
Write a signed number to represent this change.


(b) A car corporation produced 1180 more cars this month than last.
Write a signed number to represent this month's change in production.

The value of m for which the equation will have two equal solutions is given as follows:

m = -2.5.

A quadratic equation is modeled by the rule presented as follows:

y = ax² + bx + c

The discriminant of the quadratic function is given as follows:

Δ = b² - 4ac.

The numeric value of the coefficient and the number of solutions of the quadratic equation is defined as follows:

For this problem, the discriminant is given as follows:

Δ = 2m + 5 (it is the term that goes inside the root during the solution).

Hence, to have two equal solutions, the condition is:

Δ = 0.

Hence:

2m + 5 = 0

2m = -5

m = -5/2

m = -2.5.

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Step-by-step explanation:

So to start

Perpendicular lines are lines that form 90 degree angles when they meet.

Parallel lines will never touch, no matter how far they go.

So

Top left

A vertical line and a horizontal line

This would be perpendicular

Lines that intersect to form right angles

As mentioned above this would be perpendicular

Two nonvertical lines that have a product of -1 for their slopes.

Parallel lines always have the same slope, so this goes for parallel.

Equations that can be written in slope intercept form

This would be both as all lines can be written in this form

Non vertical lines that have the same slope and different y-intercepts

As they have the same slope this would make it parallel

You can determine the relationship between two lines by comparing their slopes and y-intercepts.

This is both as this is a way to compare all lines

Lines in the same plane never intersect

This would be parallel

Slopes are opposite reciprocals

This is perpendicular as the slopes of perpendicular lines are reciprocals

Vertical lines that have different x-intercepts

This would be parallel

Sorry this is a lot

Hope this helped though :)

Implications of an empty row in the roof portion of the house of quality Customer requirements are potentially not being met by the product.

The house of quality serves as a form of conceptual road map for interfunctional communication and planning. In order to discuss design goals, people with various issues and responsibilities can refer to evidence patterns on the grid of the home.

Quality function deployment is a set of planning and communication procedures that concentrates and organises capabilities inside an organisation in order to first create, then manufacture, and finally sell products that consumers want to buy and will continue to buy. The idea that items should be high-quality is the cornerstone of the house of quality.

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The chart fits the functional equation for all values of x, according to the claim made.

The Geometric Mean (GM) in mathematics is the average or mean that, by calculating the product of the values of the collection of numbers, denotes the central trend of the numbers. In essence, we combine the numbers collectively and calculate their nth root, in which n is the entire amount of data values.

We can use the given functional equation f(x+1) = 4(f(x)) to find the values of f(x) for each value of x, given that we know f(1) = 4. We start by computing:

f(2) = 4(f(1)) = 4(4) = 16

f(3) = 4(f(2)) = 4(16) = 64

f(4) = 4(f(3)) = 4(64) = 256

f(5) = 4(f(4)) = 4(256) = 1024

Now, we have determined all the values of f(x) for x=1 to 5. Since the table has 5 rows, we can write:

x f(x)

1 4

2 16

3 64

4 256

5 1024

We can check that the table satisfies the given functional equation f(x+1) = 4(f(x)). For example, when x = 3, we have:

f(x+1) = f(4) = 256

4(f(x)) = 4(f(3)) = 4(64) = 256

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The equation of the parallel lines is y = x + 2.

Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline. No matter how far we extend a parallel line, it will never meet another parallel line.

The slope of two parallel lines are equal.

The equation of the given line is:

y = x + 6

here, the slope of the line is 1.

So, the slope of the new line is 1.

The new line has the coordinates (-4, 1).

Using the point-slope form we have:

y - y1 = m (x - x1)

y - 1 = 1 (x + 1)

y - 1 = x + 1

y = x + 2

Hence, the equation of the parallel lines is y = x + 2.

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The principal amount of $5,000 deposited for 8 years with simple interest gives amount $7,880 at the annual interest of 7.2%.

Total amount 'A' in the Macy account after 8 years = $7,880

Time 't' = 8 years

Principal amount 'P' = $5,000

Let 'r' be the rate of interest given in saving account with annual simple interest.

Simple interest = Amount - Principal

                         = $7,880 - $5,000

                         = $2,880

Simple interest = ( P × r × t ) / 100

Substitute the value we get,

⇒ $2,880 = ( 5,000 × r × 8 ) / 100

⇒ r = ( 2,880 × 100 ) / ( 5,000 × 8 )

⇒ r = 7.2%

Therefore, the annual interest rate for the given amount as per simple interest is equal to 7.2%.

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The length of the arc is 42.98 inches, so the correct option is A.

For an arc defined by an angle θ on a circle of radius r the length of the arc is given by:

L = (θ/360°)*2*pi*r

Where pi = 3.1416

Here we know that:

r = 10.26 inches

θ = 240°

Then we can replace that in the formula above, we will get:

L = (240°/360°)*2*3.1416*10.26 in

L = 42.98 inches

The correct option is A.

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Since triangle ABC with vertices at A(−3, −3), B(3, 3), C(0, 3) is dilated to create triangle A′B′C′ with vertices at A′(−15, −15), B′(15, 15), C′(0, 15), the scale factor used is: A. 5.

In Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):

Scale factor = Dimension of image (new figure)/Dimension of pre-image(actual figure)

Substituting the given parameters into the scale factor formula, we have the following;

Scale factor = Dimension of image (new figure)/Dimension of pre-image(original figure)

Scale factor = -15/-3

Scale factor = 5.

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Answer: its 5

Step-by-step explanation: I did it in a test and got it right

The value of the domain and the range of the composite function (gof)(x)  as per f(x) = e^x and g(x) = x + 6 is equal to x∈ R⁺  ( real numbers ) and

x > 6 , x∈ R⁺  respectively.

Function f(x) is equal to e^x

Function g(x) = x + 6

Composite function  (gof)(x) is equal to:

(gof)(x)

= g ( f(x))

= g ( e^x )

= e^x + 6

Domain represents all input values and range represents all output values.

Domain of the composite function (gof)(x) is equal to x∈ R⁺  (real numbers)

Range of the composite function (gof)(x)  is equal to  x > 6 , x∈ R⁺

Therefore, the domain and range of the composite function (gof)(x)  is equal to x∈ R⁺  ( real numbers ) and  x > 6 , x∈ R⁺  respectively.

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Answer:

-3(x+0.5)^2-181/4 (if I calculated correctly)

Step-by-step explanation:

f(x)=-3x^2-3x-46

=-3(x^2+x+46/3)

=-3(x+0.5)^2-(0.5)^2+46/3

=-3(x+0.5)^2+181/12

=-3(x+0.5)^2-181/4

Step-by-step explanation:

For the first question, let's add the %'s

37% + 13% + 25% + 25% = 100%

So it looks like you have a 100% chance to win a prize.

-------------

For the second question

It cost $2 to play

Soda - $1

Candy Bar - $1

Toy - $3

Mega Win - $40

It looks like 2 out of 4 (50%) cost more than the price to play.

So we add the % of the Toy and Mega since those are the ones more than $2

25% + 13% = 38% chance to win a prize more than the cost to play

The term that best describes the analysis conducted by the researcher is "descriptive statistics".

What is Descriptive statistics?

A descriptive statistic is a summary statistic that quantitatively describes or summarizes features from a set of data, whereas descriptive statistics is the process of employing and analyzing those statistics.

The term that best describes the analysis conducted by the researcher is "descriptive statistics".

Descriptive statistics is the branch of statistics that deals with the summarization, presentation, and interpretation of data. In this case, the researcher recorded the height of all 217 adult members of a tribe and calculated the average height, which is a measure of central tendency. The purpose of this analysis was to describe the distribution of height among the tribe members, rather than to make inferences about the population or test hypotheses about the population parameters.

In summary, the researcher used descriptive statistics to describe the distribution of height among the tribe members by summarizing the data using measures such as the average height.

Therefore, The term that best describes the analysis conducted by the researcher is "descriptive statistics".

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A public event or celebration, typically held outdoors and involving stalls, entertainment, and processions.

Answer:

Distance = [tex]\sqrt{(1-5)^{2} + (5-2)^{2} }[/tex] units

               = [tex]\sqrt{(-4)^{2} + (3)^{2} }[/tex] units

               =[tex]\sqrt{25}[/tex] units

               = 5 units

Answer:

I could but can you please put down the problem.

Step-by-step explanation:

Simultaneous equation is a finite set of equations for which common solutions are soughtThe equivalent expression is 5x + 7y = 37

A finite set of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

Given the simultaneous equation below:

-2x - y = -4

7x + 8y = 41

In order to compress the equation into 1, we need to add the equation or subtract the equation

On adding, we will have:

(-2x + 7x) + (-y + 8y) = -4 + 41

5x + 7y = 37

Hence the equivalent expression is 5x + 7y = 37

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In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Multiplication is often referred to as repeated addition because what the multiplication problem is telling you is that you have a certain number of groups of something, all containing a specific number. Confused yet? Here's an example.

You have 3 bags of candy, and each bag contains 5 pieces of candy. How many pieces of candy do you have?

There are two ways to solve this problem. The first is by adding up the pieces of candy:

5 + 5 + 5 = 15

The other way to solve this problem is to use multiplication, because you have 3 groups of candy with 5 pieces of candy in each bag.

3 * 5 = 15

The answer to this multiplication problem is the product, which in this case is 15.

Here's another example. The classroom has 8 rows of chairs and each row has 7 chairs in it. How many chairs are there?

Again, you could add:

7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 56

Or, you can find the product by multiplying:

7 * 8 = 56

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CORRECT QUESTION FORMAT IS GIVEN BELOW -----

Q. What is the Product in Math?

Answer:

12000

Step-by-step explanation:

4500:12=470

425:125=100

1000×12=12000

The number of bacteria after 3 months is 7500.

The equation is y = 60,000 x [tex]0.5^3[/tex].

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

Number of bacteria initially = 60,000

After one month,

The number of bacteria = 30,000

This means,

60,000 - 30,000 = 30,000

The percentage decreased.

= 30,000 / 60,000 x 100

= 1/2 x 100

= 50%

Now,

The equation for the number of bacteria after x months.

y = 60,000 x [tex]0.5^x[/tex]

For x = 3,

y = 60,000 x [tex]0.5^3[/tex]

y = 60,000 x 0.125

y = 7500

Thus,

The number of bacteria after 3 months is 7500.

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Answer:

b=95; c=85

Step-by-step explanation:

B is equivalent to 85 degrees because of the vertical angle theorem. B is equivalent to 95 degrees because b and c lie along a straight line; a straight line is 180 degrees, so 180-85=95.

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Answer:

b equals 95 c equals 85 that's what I think and I have straight A's so I think I'm right

Answer:

Below

Step-by-step explanation:

Rate of change is   slope  = rise / run =  (0 - -3) / (-3 - -2) = 3/-1 = -3

The plane is travelling at a speed of 424.26 mph.

Velocity of an object is the speed of the object with a given direction. Therefore velocity is a vector quantity and speed is a scalar quantity.

Given that,

A plane is traveling Northeast.

If the plane is travelling northeast, then the angle that the plane makes with the horizontal component will be 45°.

The eastern component of it's velocity is 300 mph.

Vector v can be represented as v cos (θ) i + v sin(θ) j.

Here v cos (θ) is the eastern component and v sin(θ) is the northern component.

v cos (θ) = 300

v cos(45°) = 300

v = 300 / cos(45°)

  = 300 / (1/√2)

  = 424.26 mph

Hence the speed of the plane is 424.26 mph.

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Answer:

Let's first convert 1/6 mile into minutes by multiplying the distance by the number of minutes per mile:

1/6 mile * (1 minute/1/6 mile) = 6 minutes/mile

Next, let's convert the 7/9 minutes into miles:

7/9 minutes * (1/6 mile/minute) = 7/9 * 1/6 mile = 7/54 miles

Now that we have the distance and time in the same units, we can calculate Ed's speed as:

Speed = Distance / Time = 7/54 miles / 7/9 minutes = 7/54 miles / (7/9 * 1 minute) = 7/54 miles / (7/9) minutes = 7/54 miles / (7/9) = 54/7 miles/minute

So, Ed's speed is 54/7 miles per minute.

Step-by-step explanation:

Answer:

Option A (You chose it right)

Step-by-step explanation:

Base of triangle = [tex](\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2})[/tex] units

Since the two fractions have the same denominator, the resulting simplified fraction will have the same denominator and everything written in the numerator level will be copied down as it is:

                           = [tex]\frac{\sqrt{2} + \sqrt{2}}{2}[/tex]

                           =[tex]\frac{2\sqrt{2}}{2}[/tex]

                           = [tex]\sqrt{2}[/tex] units

Area:

Area of a triangle = [tex]\frac{1}{2}[/tex] × base of triangle × perpendicular height

                             = [tex]\frac{1}{2}[/tex] × ([tex]\sqrt{2}[/tex] units) × ([tex]\frac{\sqrt{3}}{2}[/tex] units)

                             = ([tex]\frac{\sqrt{2}}{2}[/tex] ×[tex]\frac{\sqrt{3}}{2}[/tex]) square units

     ∴ Area            [tex]= \frac{\sqrt{6}}{4}[/tex] square units

Perimeter:

It is the sum of all the outer sides (or outer boundaries) of the triangle:

Perimeter = Base of triangle + first slanted height + second slanted height

                = [tex](\sqrt{2} + \sqrt{2} + \sqrt{2})[/tex] units

                [tex]= 3\sqrt{2}[/tex] units

∴ Option A

The length and the width are 21cm and 16cm respectively.

The formula for calculating the perimeter of a rectangle is expressed as;

P = 2(l +w)

Given that;

But we have that;

Length = 5 + w

Substitute the value

74 = 2(5 + w + w)

collect like terms

74=2 (5 + 2w)

expand the bracket

64 = 4w

Make 'w' the subject of formula

w = 16cm

Then, length = 5 + 16 = 21cm

Hence, the values are 16cm and 21cm

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The required value of x, if the side length of Terrarium A is four times the side length of Terrarium B is 3.63.

A terrarium is a glass container with soil and plants inside of it that can be opened for maintenance purposes. Terraria, however, can be exposed to the atmosphere rather than being sealed. Terraria are usually kept as decorative or ornamental items.

The volume of Terrarium B is 2 m³, so its side length is the cube root of 2, which is approximately 1.26.

The side length of Terrarium A is 4 times that, or approximately 5.04. The volume of Terrarium A is [tex]2^x[/tex] cubic meters, so we can set up the equation:

(5.04)³ = [tex]2^x[/tex]

Taking the cube of both sides, we get:

125.7376 = [tex]8^x[/tex]

Taking the log base 8 of both sides:

x = log(125.7376) / log(8)

x is approximately 3.63.

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The similarity statement for the triangle is ΔPQR ~ ΔSTM

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. In other words similar triangles have the same angles and the sides of the triangles are ratio of each other.

Hence, let find the statement of proportionality of the triangles as follows:

Therefore,

∠P ≅ ∠S

∠Q ≅ ∠T

∠R ≅ ∠M

And finally,

ΔPQR ~ ΔSTM

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