Given the equation Y=2/3x+7
What is the y-intercept value and how do you graph it?
What is the slope value and how do you graph it?

SOLUTION

Consider the graph shown:

From the graph the equation is:

Therefore the approximate equation is:

Substitute x=4 into the equation:

Answer:

E

Step-by-step explanation:

line I slopes downwards from left to right and has a negative slope.

line K is a horizontal line and has a slope of zero

line J slopes upwards from left to right and has a positive slope

slopes from least to greatest are therefore I, K, J

Answer:

SQT = 100

Step-by-step explanation:

A full circle equals 360 degrees, when the other angles are added up 140 + 120 = 260 which is 100 off of 360 meaning the last angle is that 100 degrees.

The population after 50 years will be 26,765,774.

Percentage is a measurement to find value of given number out of hundred.

Given that,

The current population of Canada=35,687,699.

As per given condition the population is decreasing 0.5% per year,

So after 50 year the population will decrease =50×0.5%=25%

After 50 year the 25% population will decrease, and 75% will remain.

The remaining population = 35,687,699×75/100=26,765,774.

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Answer:

y =(2/3)x + 80

Step-by-step explanation:

to get the slope.. change in y/change in x  in two points.

so use the points (0,80) and (30,100) and you get 2/3

you know the intercept, where x=0 (0,80) therefore the equation is 2/3x + 80

Answer:

the answer is the second number line

Answer:

C) COMPLETE THE SENTENCES WITHOUT CHANGING THE MEANING:

1.- I bought this digital camera because the shop assistant recommended it.

2.- In order to be home by midnight, we should leave the party at 11.30.

3.- Jason didn't go on the trip because he was ill.

4.- Because she practises every day, Emma is an excellent guitar player.

5.- They wanted to go to the shopping centre today, but they had to do homework instead.

6.- The Browns want to buy a new car, but they haven't got enough money.

7.- The runner twisted his ankle because he fell.

8.- Water that reaches a temperature of 0 degrees, freezes.

9.- Diana was late for work because she woke up late.

10. She isn't tall; that's why she can't reach that shelf.

11. They bought the cheapest computer because they didn't have any more money.

12. You eat too many sweets and that's the reason your clothes don't fit.

13. I went to sleep very late last night because I was so excited.

14. I don't know the answer, that's why I can't help you.

The triangle with sides of length a, a, and b that maximizes the squared area is equilateral, with side length a = (6/3) - (6/3)/2 = 1.5.

Step-by-step explanation:

To show that of all the triangles with sides of length a, a, and b and a perimeter of 6, the one which maximizes the squared area is equilateral, we can use the following steps:

Write the formula for the area of a triangle in terms of its sides. Let the sides of the triangle be a, a, and b, and let s be the semiperimeter of the triangle (i.e. half of the perimeter):

Area = sqrt(s(s-a)(s-a)(s-b))

Express the semiperimeter s in terms of a and b, using the fact that the perimeter of the triangle is 6:

s = (2a + b)/2 = a + b/2

Substitute this expression for s into the formula for the area of the triangle:

Area = sqrt((a+b/2)(b/2)(b/2)(a-b/2))

Simplify the expression for the area by expanding the square and collecting like terms:

Area = (1/4) * sqrt(4a^2b^2 - (a^2 + b^2 - 4ab)^2)

To maximize the squared area, we can maximize the area itself, since the area is always non-negative. Therefore, we need to find the values of a and b that maximize the expression for Area.

To do this, we can take the derivative of the expression for Area with respect to a and b, set the derivatives equal to zero, and solve for a and b. Alternatively, we can use a geometric argument to show that the maximum occurs when a = b.

To use the geometric argument, note that the expression inside the square root is a quadratic function in a^2, with a negative coefficient of a^2. Therefore, the expression is maximized when a^2 is minimized. This occurs when a = b, since in this case the expression inside the square root simplifies to 3a^2/4.

Therefore, the triangle with sides of length a, a, and b that maximizes the squared area is equilateral, with side length a = (6/3) - (6/3)/2 = 1.5.

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All rectangles are square is a false statement

The given statement is false statement.

What is a rectangle and square?

A rectangle is a quadrilateral with opposite sides parallel and equal and each angle is a right angle, where as a square is quadrilateral with opposite sides parallel and each side is equal. and every angle is a right angle.

We are given a statement All rectangle are squares.

As every side of a square is of equal length And only opposite sides are of equal length in rectangle

All rectangles are not square

Hence the statement is not true

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The surface area of the gas tank is approximately 14535.56 square cm (rounded to 1 decimal place).

Given that the surface area of a sphere = 4πr², where r is the radius.

Now, the gas tank below is in the shape of a cylinder with an identical hemisphere on each end.

We need to find the surface area of the gas tank.Observe that a hemisphere is exactly half of a sphere, and the total surface area of a sphere is 4πr².

Therefore, the surface area of the hemisphere is 2πr².

As there are two hemispheres, their combined surface area would be 2 × 2πr² = 4πr².

The cylindrical part of the tank has a surface area of 2πrh and there are two cylinders in the tank.

Hence, the total surface area of the cylinder is 2 × 2πrh = 4πrh.

Thus, the total surface area of the gas tank is given by:

Surface area of the gas tank = surface area of cylinder + surface area of two hemispheres

= 4πrh + 4πr²

Now, as r = 17 cm and h = 51 cm,

We have:

Surface area of the gas tank= 4πrh + 4πr²

= 4π × 17 × 51 + 4π × 17²

= 3468π + 1156π

= 4624π square cm

≈ 14535.56 square cm (rounded to 1 decimal place)

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While Mary exerts an upward force on the bag of groceries, the reaction force is exerted by the Earth on Mary and the bag of groceries, keeping them in equilibrium.

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. In this scenario:

(a) The magnitude of the reaction force is 40 N, which is equal in magnitude but opposite in direction to the force exerted by Mary.

(b) The direction of the reaction force is downward, opposite to the direction of the force exerted by Mary.

(c) The reaction force is exerted on the Earth, specifically the surface on which Mary and the bag of groceries are standing.

(d) The reaction force is exerted by the Earth onto Mary and the bag of groceries.

It's important to note that Newton's third law states that the action and reaction forces always occur in pairs and act on different objects. So,

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The compound interest formula is given by the formula

Where A = Amount after t years

r = rate = 6

t = time = 5

p = $ 25000

For the first year

For the second year

P=26500+25000=51500

For the third year

P=54590 + 25000=79590

For the fourth year

P=84365.4 + 25000=109365.4

For the fifth year

P= 115927.324 + 25000 =140927.324

At the start of the 6th year

P= 149382.962+25000= 174382.96

Answer = $174382.96

Option B is correct

Answer:

4*6=24     answer:6

any other number would be less or more

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

4 x 6 is 24 and 4 x 7 is 28. 26 is between 24 and 28, so got to 24 since that is less than 26. 4 x 6 gets you 24, so 6 is your answer.

Hope it helps!

Answer:

Step-by-step explanation:

Given,

No. of nails the factory makes = 600

Time taken by the factory to make 600 nails = 3 minutes

So,

Time taken by the factory to make 1 nail = \(\frac{3}{600}\) minutes

∴ Time taken by the factory to make 27000 nails

= ( \(\frac{3}{600}\) × \(27000\) ) minutes

= ( \(\frac{1}{2}\) × \(270\) ) minutes

= 135 minutes

Or,

As we know ,  [ 1 minute =  \(\frac{1}{60}\) hour]

So, 135 minutes = \(\frac{135}{60}\) hours

= 2.25 hours

Now, [1 hour = 60 minutes]

0.25 hours = \(\frac{1}{4}\) hours

= \(\frac{1}{4}\) × 60 minutes

= 15 minutes

Hence,

The time taken by the factory to make 27000 nails is 2 hours 15 minutes (Ans)

Answer:

2.25 hours or 2 hours 15 minutes

Step-by-step explanation:

600 nails / 3 minutes = 200 nails / minute

27,000 nails / 200 nails/minute = 135 minutes

1 hour = 60 minutes

135 minutes × 1 hour / 60 minutes = 2.25 hours

2.25 hours = 2 hours  + 0.25 hours × 60 minutes/hour = 2 hours 15 minutes

Answer: 2.25 hours or 2 hours 15 minutes

Answer:

$440

Step-by-step explanation:

55*8=440

Answer:

1 !

Step-by-step explanation:

it is 1 1/4 units to the left and 3/4 of a unit up

9514 1404 393

Answer:

  1)  (-1 1/4, 3/4)

Step-by-step explanation:

Coordinates in two dimensions are given as an ordered pair, (x, y). That is, the x-coordinate is always listed first, followed by the y-coordinate.

The x-coordinate is the distance to the right of the x=0 point, or y-axis. Distances to the left have a negative sign. Here, the given point is 5 grid squares to the left of the y-axis, so has an x-coordinate of -5/4 = -1 1/4. (Each grid square on this graph is 1/4 unit.)

The y-coordinate is the distance above the y=0 point, or x-axis. Distances below have a negative sign. Here, the given point is 3 grid squares above the x-axis, so has a y-coordinate of 3/4.

The coordinates of the given point are (x, y) = (-1 1/4, 3/4).

_____

Additional comment

The above discussion refers to coordinates on the "Cartesian plane." There are other ways of determining location. Some are based on the distance from an origin and an angle from a reference direction. Then, the ordered pair is not (distance right, distance up), but may be (distance from origin, CCW angle from 'right'). In navigation, it may be (latitude angle, longitude angle), or (bearing distance, bearing angle CW from North).

An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

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Answer:

000 + 0000 = -2 + (-3) = -5

Step-by-step explanation:

3, 2, 1, 0, 00, 000, 0000, .....

So 00 = -1, 000 = -2, and 0000 = -3, and it follows that 000 + 0000 = -2 + (-3) = -5.

Answer:

Step-by-step explanation:

Let x be the random variable representing the height of the students. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 68.5

σ = 2.7

the probability that a student's height is between 67.5 and 71.0 inches exclusive is expressed as

P(67.5 < x < 71.0)

For x > 67.5,

z = (67.5 - 68.5)/2.7 = - 0.37

Looking at the normal distribution table, the probability corresponding to the z score is 0.36

For x < 71.0

z = (71.0 - 68.5)/2.7 = 0.93

Looking at the normal distribution table, the probability corresponding to the z score is 0.82

Therefore,

P(67.5 < x < 71.0) = 0.82 - 0.36 = 0.46

The number of students whose height is between 67.5 and 71.0 inches is

0.46 × 1000 = 460 students

The probability that a student's height is greater than or equal to 74.0 inches is expressed as P(x ≥ 74)

P(x ≥ 74) = 1 - P(x < 74)

For x < 74,

z = (74 - 68.5)/2.7 = 2.04

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

P(x ≥ 74) = 1 - 0.98 = 0.02

The number of students whose height are greater than or equal to 74.0 inches is

0.02 × 1000 = 20 students

Answer:

c = 12ft

Step-by-step explanation:

\(A^{2}\) + \(B^{2}\) = \(C^{2}\)

\(7.2^{2}\) + \(9.6^{2}\) = 144

\(\sqrt{144}\) = 12

Gas formation, color change, and solid (precipitate) formation are all evidence that a chemical reaction has occurred are indications of a chemical reaction. The correct option is d.

The correct answer is d. All of the above are evidence of a chemical reaction. Gas formation, color change, and solid (precipitate) formation are all common indications that a chemical reaction has occurred.

Gas formation is a clear sign that a chemical reaction has taken place. For example, when a metal reacts with an acid, such as the reaction between zinc and hydrochloric acid, hydrogen gas is produced.

The evolution of gas bubbles indicates a chemical change is occurring.

Color change can also be a strong indicator of a chemical reaction. When substances undergo a chemical reaction, the arrangement of atoms and the nature of the chemical bonds can change, resulting in a different molecular structure.

This alteration can lead to a change in the absorption and reflection of light, giving rise to a new color. For instance, the browning of an apple slice when exposed to air is a result of a chemical reaction called oxidation.

Solid formation, known as precipitation, is another sign of a chemical reaction. When two solutions are mixed, a chemical reaction may occur, leading to the formation of a solid precipitate.

This is often observed in double displacement reactions, where two ionic compounds exchange ions. The formation of a solid product indicates that a new substance has been formed through the chemical reaction.

In summary, gas formation, color change, and solid (precipitate) formation are all indications that a chemical reaction has taken place.

These observable changes provide evidence of the rearrangement of atoms and the formation of new substances, confirming the occurrence of a chemical reaction.

Hence, the correct option is d. All of the above are evidence of a chemical reaction.

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Answer:

2.5h + 4 = 12 is your equation

2.5h = 12 - 4

2.5h = 8

h = 8 / 2.5

h = 3.2 hrs

Step-by-step explanation:

Answer:

2.5h + 4 = 12 is your equation

2.5h = 12 - 4

2.5h = 8

h = 8 / 2.5

h = 3.2 hrs

Answer:

7

Step-by-step explanation:

280=40t/40

t=7

The product of the equations is A = ( k - 1 ) / k²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first variable be p = ( 3k / ( k + 1 ) )

Let the second variable be q = ( k² - 1 ) / 3k³

And , A = p x q

Substituting the values in the equation , we get

A = ( 3k / ( k + 1 ) ) x ( k² - 1 ) / 3k³

On simplifying the equation , we get

A = ( 3k / ( k + 1 ) ) [ ( k + 1 ) ( k - 1 ) ] / 3k³

A = ( 1 ) ( k - 1 ) / k²

On further simplification , we get

A = ( k - 1 ) / k²

Hence , the equation is A = ( k - 1 ) / k²

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Answer:

what?

Step-by-step explanation:

Answer: umm umm I would tell him godbless him and…

Step-by-step explanation:

Answer: 3/4

Step-by-step explanation: 6 1/4 - 5 1/2

Answer: The answer is 1 2/8

Step-by-step explanation:

5 1/2    X    4/4     =   4/8               So the answer is 1 and 2/8

6 1/4     X   2/2     =   2/8

6 4/8

-

5 2/8

___

Answer:

112

Step-by-step explanation:

The solution after divide is,

⇒ 112

We have to given that,

To find solution of 28 Divided by 1/4.

Now, We can divide the expression as,

⇒ 28 Divided by 1/4

⇒ 28 ÷ 1/4

⇒ 28 × 4/1

⇒ 28 × 4

⇒ 112

Therefore, The solution after divide is,

⇒ 112

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The answer is the probability of having lunch at least 6 days per week is 0.019 or  1.9%. The probability of having lunch exactly 6 times is 0.017 or 1.7%.

The probability of having lunch together is \($p=40 \%=0.4$\)

The probability of not having lunch together is \($q=1-p=0.6$\)

Number of trials (days in a week) is \($\mathrm{n}=7$\)

Let \($r=$\) number of days in the week when Andy and Anna have lunch together.

\(P(r \text { of } n)={ }_{n} C_{r} p^{r} q^{n-r}\)

Use th graphing calculator to obtain

\($$\begin{aligned}&P(6 \text { of } 7)={ }_{7} C_{6}(0.4)^{6}(0.6)=0.017 \\&P(7 \text { of } 7)={ }_{7} C_{7}(0.4)^{7}(0.6)^{0}=0.002\end{aligned}$$\)

Therefore

\($\mathrm{P}($\) at least 6 of 7\($)=\mathrm{P}(1$\) of 7\($)+\mathrm{P}(2$\) of 7\($)+\ldots+\mathrm{P}(6$\) of 7)

\($$\begin{aligned}&=0.131+0.261+0.290+0.194+0.077+0.017 \\&=0.97 \text { or } 97 \% \\&P(\text { at least } 6 \text { of } 7)=0.017+0.002=0.019=1.9 \% \\&P(\text { exactly } 6 \text { of } 7)=0.017 \text { or } 1.7 \%\end{aligned}$$\)

What is probability ?

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Answer:

The probability of them having lunch together at least 6 days a week is

0.019,

and the probability of having lunch exactly 6 times in a week is

0.017.

Step-by-step explanation:

The hydrologic cycle, also known as the water cycle, plays a crucial role in the Earth's natural processes. It involves the continuous movement of water between the Earth's surface, atmosphere, and underground reservoirs.

The importance of the hydrologic cycle can be understood by considering its various functions:

Transport: The hydrologic cycle facilitates the transport of water across the Earth's surface, including rivers, lakes, and oceans. This movement of water is vital for the distribution of nutrients, sediments, and organic matter, which are essential for the functioning of ecosystems.

Weathering and Contaminant Transport: Water plays a significant role in weathering processes, such as erosion and dissolution of rocks and minerals. It also acts as a carrier for contaminants, pollutants, and nutrients, influencing their transport through the environment.

Energy Balance: Water has a high heat capacity, which means it can absorb and store large amounts of heat energy. This property helps regulate the Earth's temperature and climate by transporting heat through evaporation, condensation, and precipitation.

Greenhouse Gas: Water vapor is a major greenhouse gas that contributes to the Earth's natural greenhouse effect. It absorbs and re-emits thermal radiation, trapping heat in the atmosphere. Approximately 80% of the atmospheric greenhouse effect is attributed to water vapor.

Life: Water is vital for supporting life on Earth. It provides a habitat for numerous organisms and serves as a medium for various biological processes. Terrestrial life forms, including plants, animals, and humans, rely on water availability for their survival, growth, and reproduction.

It is important to note that while water is critical for most terrestrial life forms, human beings have developed technologies and systems that allow them to inhabit regions with limited water availability. However, water still remains a fundamental resource for human societies, and the hydrologic cycle plays a crucial role in ensuring its availability and sustainability.

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