YEAR 9 MATHS PLEASE QUICKLY HELP THIS WONT TAKE LONG
Here are six shapes made from centimetre squares.
Write down the letter of a shape with rotational symmetry of order 2.
(1 mark)

Answer:

$20,000

Step-by-step explanation:

Let the new car price before tax be p.  If the sales tax was $1400, then the following is true:  0.07p = $1400, and p = $20,000

$1400 is 7% of the before-tax new car price, which is $20,000

Answer:

y-1=\(\frac{5}{6}\)(x+8)

Step-by-step explanation:

1. y-y1=m(x-x1) (point slope form)

2. y1 is the y of your given point and x1 is the x of your given point

3. m is the slope

The conditions that are given are all satisfied by putting all the angle numbers in the correct colored space so the parallel lines

An angle is a figure in Euclidean geometry made up of two rays that share a terminus and are referred to as the sides and the vertex of the angle, respectively. Angles made up of two rays are located in the plane that the rays are contained in. Two planes intersecting at an angle also produces an angle.

Angle is also a designation for the length of a rotation or an angle. The length of a circular arc divided by its radius yields this measurement.

We denote the upper coloured line by 1 and the lower coloured by 2

1) Red1=∠1

Green 2=∠7vertical angles

2) Yellow1=∠4, Blue2=∠6 alternate interior angles

3) Green2=∠7, Green1=∠3 alternate exterior angles

Here the colour of each is represented by its first letter.

And each position is represented by 1 0r 2, upper or lower.

Yellow1=∠4

Yellow2=∠8 corresponding angles

Red2=∠5

Blue2=∠6 same side interior angles

Yellow1=∠4

Red2=∠5 are linear pair.

Therefore, the conditions that are given are all satisfied.

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Answer:

128 <33

Step-by-step explanation:

6 ÷ 3 + 32 • 4 - 2 = 128

▪︎▪︎▪︎▪︎▪︎▪︎

The statement that must be true is C. The experiment is not a binomial experiment because the probability of choosing a green marble is not the same for each drawing.

As per the question, the experiment has a fixed number of trials (7), each trial has only two possible outcomes (green or not green), and the trials are independent.

However, the probability of success (choosing a green marble) is not the same for each trial because the number of green marbles decreases with each trial.

Therefore, the experiment does not meet the third condition for a binomial experiment, and statement C is true.

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The complete question is as follows:

Franco has a hat with 9 blue marbles, 4 yellow marbles, and 12 green marbles. He designs a binomial experiment by drawing a marble from the hat, recording whether the marble is green, and then laying the marble aside. He then repeat the process seven times. Which statement must be true?

A. The experiment is not a binomial experiment because there is not a fixed number of drawings.

B. The experiment is not a binomial experiment because the probability of choosing a green marble is the same for each drawing.

C. The experiment is not a binomial experiment because the probability of choosing a green marble is not the same fo each drawing.

D. The experiment is not a binomial experiment because there are only two possible outcomes for each drawing.​

Answer:

X= 10/3y + -4/3                

Step-by-step explanation:

Step One: add -5y to both sides

Step two: divide both sides by -3

Answer:

-x=1 1/3

Step-by-step explanation:

x-(4x-5y)=(5y+4)

x-4x+5y=5y+4

-3x+5y=5y+4

5y-5y=0

-3x=4

x=4÷3

4÷3=1 1/3

Answer:

x=1

Step-by-step explanation:

The value of x is 1. So, the correct answer is d. x = 1.

To find the value of x, we can use the fact that the corresponding sides of congruent triangles are equal.

In triangle ABC, side AB is labeled 4x - 1, side BC is labeled 4, and side AC is labeled 5.

In triangle CDE, side CD is labeled 5, side DE is labeled x + 2, and side CE is labeled 4.

Since triangle ABC is congruent to triangle CDE, we can set up the following equations:

4x - 1 = 5
4 = x + 2

Simplifying these equations, we get:

4x = 6
x = 1

Therefore, the value of x is 1. So, the correct answer is d. x = 1.

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what

i'm sorry I don't understand chinese or whatever it is-

Answer:

30 hours

Step-by-step explanation:

Answer:

x = y = -2

Step-by-step explanation:

Hope this helps

Answer:

\(y = - 2 \\ x = - 2\)

Step-by-step explanation:

\( - 5x - 3y = 16 \: \: = > 1 \\ y = x = > 2\)

Now you can write the 1st equation like this.

\( - 5x - 3y = 16 \\ x = y \\ so \: \: you \: \: \: can \: \: write \\ - 5y - 3y = 16 \: \: \: = > 3\)

Now simply Solve the 3rd equation

\( - 5y - 3y = 16 \\ - 8y = 16 \\ \frac{ - 8y}{ - 8} = \frac{16}{ - 8} \\ y = - 2\)

Now replace y as 2 in the 2nd equation like this

\(y = x \\ - 2 = - 2\)

Now let's check whether the answer correct or wrong

\( - 5x - 3y = 16 \\ - 5 \times - 2 - 3 \times - 2 = 16 \\ 10 + 6 = 16 \\ 16 = 16\)

Yes, the answer is correct

hope this helps you !!

Answer: y = 2(x + 2)² - 5

Step-by-step explanation:

          We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.

Given:

     y = 2x² + 8x + 3

Factor the 2 out of the first two terms:

     y = 2(x² + 4x) + 3

Add and subtract \(\frac{b}{2} ^2\):

     y = 2(x² + 4x + 4 - 4) + 3

Distribute the 2 into -4 and combine with the 3:

     y = 2(x² + 4x + 4) - 5

Factor (x² + 4x + 4):

     y = 2(x + 2)² - 5

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy the above onto your computer for future reference

sin(g) = 420/427

tan(z) = 77/420

cos(z) = 420/427

sin(m) = 427/427

part (E)   the sin of any right angle will be  1   :)

Answer:

Solution given:

Sin G=opposite/hypotenuse=420/427

TanZ=Opposite/adjacent=77/420

CosZ=adjacent/hypotenuse=420/427

Sin M=opposite/hypotenuse=427/427=1

Answer:

normal force decreases

Step-by-step explanation:

N=mgcosθ, and cosine decreases as theta increases

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Answer:

A) decreases

Step-by-step explanation:

As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.

A)The limit as ln A approaches infinity of sin(21 ln A) is equal to 0.

As ln A approaches infinity, 21 ln A also approaches infinity. Since the range of sin function is between -1 and 1, sin(21 ln A) oscillates between -1 and 1 infinitely many times as ln A approaches infinity.

However, the amplitude of the oscillations becomes smaller and smaller as 21 ln A becomes larger, and eventually, the oscillations become so small that sin(21 ln A) approaches 0. Therefore, the limit as ln A

B) The limit as x approaches 0 of (1 - 8x)^(1/x) is equal to e^(-8).

We can rewrite the limit using the natural logarithm as follows:

lim (1 - 8x)^(1/x) = lim e^(ln[(1 - 8x)^(1/x)])

= lim e^[(1/x) ln(1 - 8x)]

Next, we use the fact that ln(1 + x) is approximately equal to x when x is close to 0, to rewrite the limit as:

lim e^[-8 ln(1 - 8x)/(-8x)] (by substituting x/(-8) for x)

Using L'Hopital's rule, we take the derivative of the numerator and denominator with respect to x to get:

lim e^[8/(1 - 8x)] = e^(-8)

Therefore, the limit as x approaches 0 of (1 - 8x)^(1/x) is equal to e^(-8).

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The solution is, items can be shipped in the container weigh is < 50g, are, 05g, 0.037kg, 47000mg.

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.

here, we have,

The contents can weigh no more than 50 grams.

i.e. items can be shipped in the container weigh is < 50g

now, we know,

1 g = 1000 mg

1000g = 1 kg

so, we have,

05g = 5g

0.49 kg = 490 g

0.037 kg = 37g

47,000 mg = 47g

3,900,000 mg= 3900g

Hence, The solution is, items can be shipped in the container weigh is < 50g, are, 05g, 0.037kg, 47000mg.

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Answer:

She can ship just 47,000 mg, or she can ship 5 g with 0.037 kg.

Step-by-step explanation:

05 g = 5 g < 50 g

0.49 kg × (1000 g)/(1 kg) = 490 g > 50 g

0.037 kg × (1000 g)/(1 kg) = 37 g < 50 g

47,000 mg × (1 g)/(1000 mg) = 47 g < 50 g

3,900,000 mg × (1 g)/(1000 mg) = 3,900 g > 50 g

She can ship just 47,000 mg, or she can ship 5 g with 0.037 kg.

The first derivatives for the given functions are:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For  \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.

For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.

For the function\(y = 3x^2 + 5x + 10:\)

Taking the derivative term by term:

\(d/dx (3x^2) = 6x\)

d/dx (5x) = 5

d/dx (10) = 0

Therefore, the first derivative is:

dy/dx = 6x + 5

For the function y = 100200x + 7x:

Taking the derivative term by term:

d/dx (100200x) = 100200

d/dx (7x) = 7

Therefore, the first derivative is:

dy/dx = 100200 + 7 = 100207

For the function \(y = ln(9x^4):\)

Using the chain rule, the derivative of ln(u) is du/dx divided by u:

dy/dx = (1/u) \(\times\) du/dx

Let's differentiate the function using the chain rule:

\(u = 9x^4\)

\(du/dx = d/dx (9x^4) = 36x^3\)

Now, substitute the values back into the derivative formula:

\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)

Therefore, the first derivative is:

dy/dx = 4/x

To summarize:

For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.

For y = 100200x + 7x, the first derivative is dy/dx = 100207.

For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.

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The equation of the amount to be paid by anyone using the ride in slope intercept form is; y = 0.5x + 10

The general form of the equation of a Line in slope intercept form is;

y = mx + b

where;

m is slope

b is y-intercept

Now, we are told that;

Amount charge by Winter Wonderland per child = $0.50

We are told that there is a separate entrance fee.

Amount of times todd sled down the hill = 16 times

Amount paid by todd = $18

Thus, using the slope intercept form, we have;

18 = 0.5(16) + b

18 = 8 + b

b = 10

Thus, the equation of this amount to be paid in slope intercept form is;

y = 0.5x + 10

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Answer:

-8

Step-by-step explanation:

Answer:

the answer is negatvie 8

Step-by-step explanation:

Zelda's utility, based on her utility function u(x,y) = min{0.2x, 1.5y}, when consuming a basket with (x,y) = (20.5, 26), is 3.9. In another scenario where the consumer prefers to consume exactly 1 unit of x with each unit of y, the price of x is $15, the price of y is $5, and the consumer has an income of $250, the optimal amount of good x* to consume is 11.0.

To determine Zelda's utility when consuming a basket with (x,y) = (20.5, 26), we evaluate her utility function u(x,y) = min{0.2x, 1.5y}. In this case, 0.2x = 0.2 * 20.5 = 4.1, and 1.5y = 1.5 * 26 = 39. Since the minimum of these two values is 4.1, Zelda's utility is 3.9.

In the second scenario, where Zelda prefers to consume exactly 1 unit of x with each unit of y, we need to determine the optimal amount of good x* to consume given the prices of x and y and her income. The consumer's goal is to maximize utility while staying within her budget constraint. The consumer's budget constraint is given by the equation: p_x * x + p_y * y = income, where p_x and p_y are the prices of x and y, respectively.

In this case, the price of x is $15, the price of y is $5, and Zelda's income is $250. Plugging in these values into the budget constraint, we have 15x + 5y = 250. Since Zelda prefers to consume exactly 1 unit of x with each unit of y, we can substitute y = x into the equation, resulting in 15x + 5x = 250. Simplifying, we get 20x = 250, and solving for x, we find x* = 250 / 20 = 12.5.

Therefore, the optimal amount of good x* for Zelda to consume is 12.5 units.

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The hypothesis test in which the significance level is a = 0.05 and the probability power of the test is (B) 0.82.

To find the power of the test, we subtract the probability of a Type II error from 1.

Given:

Significance level (α) = 0.05

Probability of Type II error (β) = 0.18

Power = 1 - β

Power = 1 - 0.18

Power = 0.82

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Answer:

240/(v+40) + 1 > 240/v

Step-by-step explanation:

Both parties traveled a distance of 240 km.

Simpsons took off at average speed of 40 km/h & 1 hour later: 240/(v+40) + 1

Jacksons took off at average speed of v km/h:  240/v

An inequality in terms of v that models the situation is; [240/(v + 40)] + 1 > 240/v

We are told that distance travelled by both Jackson and Simpson is 240 km each.

Jacksons took off at average speed of v km/h. Thus, their time taken is 240/v

The Simpsons took off at an average speed of 40 km/h faster than Jacksons Speed. Since their start was delayed by an hour, then;

Time taken = [240/(v + 40)] + 1

Thus, the inequality that models the situation is; [240/(v + 40)] + 1> 240/v

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The general solution to the differential equation y' - 2y + 3e^t = 0 is: y = Ce^(2t) - e^t.  As t approaches infinity, the solution approaches infinity because the dominant term in the solution is e^(2t).

The given differential equation is:

y' - 2y + 3e^t = 0

We can first find the homogeneous solution by setting the right-hand side equal to zero:

y' - 2y = 0

This is a separable differential equation that can be solved by separating variables:

dy/y = 2dt

Integrating both sides, we get:

ln|y| = 2t + C

where C is an arbitrary constant. Solving for y, we get:

y = Ce^(2t)

This is the general solution to the homogeneous equation.

Now, we need to find a particular solution to the non-homogeneous equation. Since the non-homogeneous term is a constant times e^t, we can guess a particular solution of the form:

y_p = Ae^t

where A is a constant. Substituting this into the original equation, we get:

Ae^t - 2Ae^t + 3e^t = 0

Simplifying, we get:

A = -1

Therefore, the particular solution is:

y_p = -e^t

The general solution to the non-homogeneous equation is the sum of the homogeneous solution and the particular solution:

y = Ce^(2t) - e^t

To determine how solutions behave as t approaches infinity, we can analyze the behavior of the exponential terms. Since e^(2t) grows much faster than e^t, the dominant term as t approaches infinity is e^(2t). Therefore, the solution approaches infinity as t approaches infinity.

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Answer:

128, -512, 2048

Step-by-step explanation:

the next term is calculated by multiplying the previous term by -4

In the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units.

In the best-case scenario analysis for Automatic Transmissions, Inc.'s new gear assembly project, the company assumes the upper limit of the ±15 percent range for its estimates. For the price per unit, they take a 15 percent increase, resulting in a value of $1081. Similarly, the variable cost per unit is increased by 15 percent to $391. The fixed costs are also adjusted upwards by 15 percent, reaching $3.91 million. Finally, the quantity is decreased by 15 percent, leading to a value of 45,050 units.

On the other hand, in the worst-case scenario analysis, the company assumes the lower limit of the ±15 percent range for its estimates. The price per unit is decreased by 15 percent, resulting in $799. The variable cost per unit is decreased to $289. The fixed costs are adjusted downwards to $2.89 million. Lastly, the quantity is increased by 15 percent to 60,950 units.

Therefore, in the worst-case scenario, the company should use the following values: price = $799 per unit, variable cost = $289 per unit, fixed costs = $2.89 million, and quantity = 60,950 units

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The standard deviation for the given data is c. 0.024 cm.

Let's calculate the standard deviation using the given data:

Diameters: 0.493, 0.534, 0.527, 0.511, 0.565, 0.559, 0.519, 0.562, 0.551, and 0.530.

Find the mean:

Mean = (0.493 + 0.534 + 0.527 + 0.511 + 0.565 + 0.559 + 0.519 + 0.562 + 0.551 + 0.530) / 10

Mean ≈ 0.5411 cm

Calculate the squared differences:

\((0.493 - 0.5411)^2, (0.534 - 0.5411)^2, (0.527 - 0.5411)^2, (0.511 - 0.5411)^2, (0.565 - 0.5411)^2, (0.559 - 0.5411)^2, (0.519 - 0.5411)^2, (0.562 - 0.5411)^2, (0.551 - 0.5411)^2, (0.530 - 0.5411)^2\)

Find the average of the squared differences:

Average = (sum of squared differences) / 10

Take the square root of the average to get the standard deviation.

By calculating the above steps, the standard deviation of the given data set is approximately 0.024 cm.

Therefore, the correct answer is c. 0.024 cm.

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The slope of the regression line predicting y from x is 0.30.

Given that,

x              y

29          215

62          225

75          173

99         129

108        111

So, the coordinate points are (29, 215) and (62, 225)

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

Here, slope = (225-215)/62-29)

= 10/33

= 0.30

Therefore, the slope of the regression line predicting y from x is 0.30.

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In a traditional economy, the answers to all economic questions are determined by long-standing customs, traditions, and cultural norms. These factors dictate how resources are allocated, what goods and services are produced, and how economic activities are organized.

1. Customs and traditions: In a traditional economy, economic decisions are guided by customs and traditions that have been passed down through generations. These customs define the roles and responsibilities of individuals and groups within the society, including their occupations and the economic activities they engage in. For example, certain communities may have a tradition of agriculture, while others may specialize in crafts or fishing. These customs and traditions shape the allocation of resources and the production of goods and services.

2. Cultural norms: Cultural norms play a significant role in determining economic decisions in a traditional economy. These norms define the acceptable behaviors, values, and beliefs within a society. They influence decisions related to trade, exchange, and distribution of resources. For instance, cultural norms may dictate that certain goods or services are reserved for specific members of the community, or that certain resources are to be shared collectively. Cultural norms also influence the distribution of wealth and resources within the society, as they often prioritize communal well-being over individual accumulation.

In a traditional economy, the answers to economic questions are rooted in long-established customs and cultural norms. These factors shape the allocation of resources, the production of goods and services, and the organization of economic activities within the society.

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The time and distance of both the boys Jake and Ethan when they meet with each other is equal to 40 minutes after covering 5 miles.

Constant rate by which Jake run is equal to  8 minutes per mile.

Rate of Ethan longboard for first two miles = 5 minutes per mile

Rate of Ethan longboard for rest of the miles = 10 minutes per mile

Time taken by each of them is :

Miles       Time taken by Jake (minutes)       Time taken by Ethan(minutes)

1                    8 min                                                 5 min

2                   16 min                                                10 min

3                    24 min                                               20 min

4                    32 min                                               30 min

5                    40 min                                               40 min

6                     48 min                                               50 min

Therefore , time and distance at which Jake and Ethan  meet is equal to 40 minutes that is at 5 miles.

The above question is incomplete , the complete question is:

Jake will run at a constant rate of 8 minutes per mile. Ethan will longboard at rate of 5 minutes per mile for the first two miles then will slow down and longboard at a rate of 10 minutes per mile. Make two tables finding the times for each boys results for 1,2,3,4,5 and 6 miles.

Find out the time and distance at which both meet.

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Answer: \(y=-4x-6\)

Step-by-step explanation:

Given

The equation of line is \(y=-4x-3\)

The line which is parallel to the given line is \(y=-4x+c\)

and shifted by 3 units down i.e. its y-intercept is 3 units below the given line

\(\therefore y=-4x-3-3\\\Rightarrow y=-4x-6\)