What is the slope of the line that passes through the points (7,-6) and (4, -6)? Write your answer in simplest form.​

So for the question:

Approximately 1,000,000 people cross the Shibuya Crossing intersection eachday:

Answer:

A.) 1 x 10^6 people

Explanation

1 times 10 to the sixth power (which is 1000000) is 1000000

Hoped that helped:P

Then for the next question:

Choose the best approximation of the number of minutes in each day.

Answer:

A) 1 x 10^3 minutes

Explanation:

if you round 1440 up to 2000 or down to 1000 youll  get 10^3

Hoped that helped:P

Then for the last question:

Approximarely how may people cross the Shibuya crossing each minute?

Answer:

A.) 1 x 10^3 people per minute

Now remmeber this is approximently so its not the actually amount.

Hoped that helped:P and fyi u should of put this as more points it was a lot of work.

Answer:

Step-by-step explanation:

138° - 80° = 58°

After answering the given query, we can state that 158 kids and 307 equation adults thus went swimming at the public pool that day.

A mathematical equation is a process that links two statements and indicates equality with the equals sign (=). A mathematical assertion that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. A mathematical formula can be used to understand the connection between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular program are identical. as in 2x - 4 = 2, for example.

To fix this issue, let's use a system of two equations with two variables.

Let x represent the number of kids who went swimming that day and y represent the number of parents.

The issue statement informs us that:

x + y = 465 (Equation 1) (The total number of people who swam is 465)

1.25x + 2.50y = 965.00 (Equation 2) (The entire revenue from admissions was $965.00)

1.25x + 1.25y = 581.25 (Multiply Equation 1 by 1.25)

-1.25x - 2.50y = -965.00 (Equation 2)

-1.25y = -383.75

y = 307 (Divide both sides by -1.25)

Equation 1 with x = 307 substituted:

x + 307 = 465

x = 158

158 kids and 307 adults thus went swimming at the public pool that day.

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Answer:

12/30

Step-by-step explanation:

Hope this helps man. Have a GREAT day.

Sincerly, lipor

A 12/30 fraction of the team is made up of boys.

A fraction is defined as part of a whole.

The total number of team members is 

12+18=30

The number of boys on the team is 12.

Hence, the fraction of boys o the team is 12/30. 

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We can use the equation for the angle of the bright fringes in a double-slit experiment. The answer is D. 15.1o.

where θ is the angle of the bright fringe, m is the order of the fringe (in this case, m=3), λ is the wavelength of the incident light, and d is the distance between the slits.

Plugging in the given values, we get:

sinθ = (3)(5.04x10^-7m)/(5.82x10^-5m) = 0.260

Taking the inverse sine of both sides, we get:

θ = sin^-1(0.260) = 15.1o

Therefore, the answer is D. 15.1o.

To find the angle of the 3rd order bright fringe, we can use the formula for the double-slit interference pattern:

mλ = d * sinθ

where m is the order number (3 in this case), λ is the wavelength of the incident light (5.04x10^-7 m), d is the distance between the slits (5.82x10^-5 m), and θ is the angle we want to find.

First, rearrange the formula to solve for the angle:

sinθ = (mλ) / d

Now, plug in the given values:

sinθ = (3 * 5.04x10^-7 m) / 5.82x10^-5 m

Calculate the result:

sinθ = 0.02594

Now, find the inverse sine (arcsin) of the result to get the angle:

θ = arcsin(0.02594) ≈ 1.49°

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It would take approximately 11.43 years to establish 30 stores.

Let's use x to represent the number of years it would take to establish 30 stores.

The store plans to build 4 new stores each year, so in x years, they will have built 4x stores.

That 1 store will go out of business every 3 1/2 years, which can be written as 7/2 years.

So in x years, 30/(4-1/2) = 40 stores will be in operation, and 40/x stores will go out of business.

So, we can write the equation:

40/x = 7/2

Solving for x, we get:

x = 80/7

Let's use x to indicate the period of time needed to open 30 shops.

The retailer intends to construct 4 additional stores year, totaling 4x stores after x years.

Every three and a half years—or seven and a half years—that one store will close its doors.

As a result, 40 stores will be open in x years and 40/x retailers will close their doors.

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Answer:

−12x+1.5

Step-by-step explanation:

Answer:

-12x + 1.50

Step-by-step explanation:

Answer:

the set of all possible outputs for a function is the range

Answer:

Hey there!

25(10+50)-25

25(60)-25

1500-25

1475

Hope this helps :)

Answer:

The answer is

Step-by-step explanation:

25 (10 + 50) - 25

Expand

250 + 1250 - 25

Simplify

We have the final answer as

1475

Hope this helps you

Final Answer: \(s = -\frac{3}{2}\)

Steps/Reasons/Explanation:

Question: Equations with variables on both sides: decimals and fractions, algebra 2. \(0.5s + 1 = 7 + 4.5s\).

Step 1: Subtract \(0.5\) from both sides.

\(1 = 7 + 4.5s - 0.5s\)

Step 2: Simplify \(7 + 4.5s - 0.5s\) to \(7 + 4s\).

\(1 = 7 + 4s\)

Step 3: Subtract \(7\) from both sides.

\(1 - 7 = 4s\)

Step 4: Simplify \(1 - 7\) to \(-6\).

\(-6 = 4s\)

Step 5: Divide both sides by \(4\).

\(-\frac{6}{4} = s\)

Step 6: Simplify \(\frac{6}{4}\) to \(\frac{3}{2}\).

\(-\frac{3}{2} = s\)

Step 7: Switch sides.

\(s = -\frac{3}{2}\)

~I hope I helped you :)~

a. A power series representation for 1/(1 + 4x) is 1 - 4x + 16x^2 - 64x^3 + ...

b.  A power series representation for x/(1 + 4x) is x - 4x^2 + 16x^3 - 64x^4 + ...

c. A power series representation for (1 + x^2)/(1 - x^2) is 1 + 2x^2 + 2x^4 + 2x^6 + ...

(a) To find a power series representation for 1/(1+4x), we can use the geometric series formula: 1/(1 - r) = 1 + r + r^2 + r^3 + ...

In this case, r = -4x. So we have:

1/(1 + 4x) = 1 + (-4x) + (-4x)^2 + (-4x)^3 + ...

Simplifying the terms:

1/(1 + 4x) = 1 - 4x + 16x^2 - 64x^3 + ...

Therefore, a power series representation for 1/(1 + 4x) is 1 - 4x + 16x^2 - 64x^3 + ...

(b) To find a power series representation for x/(1 + 4x), we can express it as the difference of two power series. We know the power series representation for 1/(1 - r) is 1 + r + r^2 + r^3 + ..., so we can write:

x/(1 + 4x) = x * 1/(1 - (-4x))

Using the power series representation for 1/(1 - r), we have:

x/(1 + 4x) = x * (1 - (-4x) + (-4x)^2 - (-4x)^3 + ...)

Expanding and simplifying:

x/(1 + 4x) = x - 4x^2 + 16x^3 - 64x^4 + ...

Therefore, a power series representation for x/(1 + 4x) is x - 4x^2 + 16x^3 - 64x^4 + ...

(c) To find a power series representation for (1 + x^2)/(1 - x^2), we can express it as the sum of two power series. We know the power series representation for 1/(1 - r^2) is 1 + r^2 + r^4 + r^6 + ..., so we can write:

(1 + x^2)/(1 - x^2) = 1/(1 - x^2) + x^2/(1 - x^2)

Using the power series representation for 1/(1 - r^2), we have:

(1 + x^2)/(1 - x^2) = (1 + x^2) * (1 + x^2 + x^4 + x^6 + ...)

Expanding and simplifying:

(1 + x^2)/(1 - x^2) = 1 + 2x^2 + 2x^4 + 2x^6 + ...

Therefore, a power series representation for (1 + x^2)/(1 - x^2) is 1 + 2x^2 + 2x^4 + 2x^6 + ...

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Answer:

To increase 80g by 25%, you need to find 25% of 80 and then add that to 80.

25% of 80 is (25/100) x 80 = 20

So, to increase 80g by 25%, you add 20g to 80g:

80g + 20g = 100g

Therefore, an increase of 25% on 80g is 100g.

Step-by-step explanation:

Answer: 127 degrees

Step-by-step explanation:

I hope this helps

E                       F

H                     G

I had to write it out the parallelogram so I could have a better visual.

F and G are consecutive angles in a parallelogram (not on opposite sides).

This means they add to be 180 degrees.

F+G=180

(3x-10)+(5x+22)=180

(3x+5x)+(-10+22)=180

8x       +12=180

Subtract 12 on both sides:

8x           =180-12

Simplify:

8x           =168

Divide both sides by 8:

x              =168/8

x              =21

If x=21 and want the measurement of angle G, then

(5x+22)=(5*21+22)=127.

So angle G has measurement 127 degrees.

The the measure of angle G will be 127°. Then the correct option is D.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

In parallelogram, the sum of the two adjacent angle is 180 degrees.

In parallelogram EFGH, the measure of angle F is (3x − 10)° and the measure of angle G is (5x + 22)°.

The angle F and angle G are the adjacent angle.

The sum of angle F and angle G is 180°.

             ∠F + ∠G = 180°

3x - 10 + 5x + 22 = 180

                      8x = 168

                        x = 21

Then the the measure of angle G will be

∠G = (5x + 22)°

∠G = (5 × 21 + 22)°

∠G = (105 + 22)°

∠G = 127°

The the measure of angle G will be 127°.

Then the correct option is D.

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Answer:

Mean - 250, Median - 250, Mode - 250, range - 90

Step-by-step explanation:

Answer:

mean: 250

mode: 250

median:250

range:90

Step-by-step explanation:

mean add everything and then divide

mode there are 3 250s making it the mode

median that is the middle

range 295-205=90

Answers:

A = 48

B = 88

C = 44

======================================================

Explanation:

The interior angles of any triangle always add up to 180 degrees.

A+B+C = 180

(48) + (x) + (x-44) = 180

2x+4 = 180

2x = 180-4

2x = 176

x = 176/2

x = 88

Therefore,

Check:

A+B+C = 48+88+44 = 180

The answers are confirmed.

Answer with step-by-step explanation

We know that, 

the sum of the interior angles of a triangle is 180°.

Accordingly,

\(\sf \: x + x -44+ 48= 180\)

Combine like terms.

\(\sf \: 2x + 4= 180\)

Subtract 4 from both sides.

\( \sf \: 2x = 180 - 4 \\ \sf2x = 176\)

Divide both sides by 2.

\(\sf \: x = 88\)

Therefore,

\( \angle B = x = 88 \degree \ \\ \angle \: A= 48 \degree \\ \angle \: C =x - 44 = 88 - 44 = 44 \degree \\ \)

Je suis désolée, mais je ne suis pas sûr de comprendre exactement votre question. Les termes que vous avez inclus semblent être une formule mathématique en français, qui peut être traduite en anglais comme "subtract from the result the square of the number I am thinking of".

Pouvez-vous s'il vous plaît me donner plus de contexte sur ce que vous voulez dire ou m'expliquer comment je peux vous aider?

Je suis là pour vous aider. Pour répondre à votre question, considérez les termes suivants : soustrait, résultat, carré et nombre.

Si vous pensez à un nombre spécifique (appelons-le "n"), vous devez d'abord calculer le carré de ce nombre (n^2). Ensuite, soustrayez ce carré (n^2) du résultat donné pour obtenir la réponse finale.

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To analyze regression 2 and 3, examine the "fact-based movie" coefficients to determine if fact-based movies have fewer, more, or just as many stars as fictional movies on average. Check p-values for statistical significance. Interpret results objectively.

To compare regression 2 and regression 3 and determine whether the regressions suggest that, on average, a fact-based movie has fewer stars than a fictional movie, more stars than a fictional movie, or just as many stars as a fictional movie, we need to analyze the results of the regressions.

1. Start by examining the coefficients of the "fact-based movie" variable in both regressions. If the coefficient is negative, it suggests that fact-based movies have fewer stars than fictional movies on average. If the coefficient is positive, it suggests that fact-based movies have more stars than fictional movies on average. And if the coefficient is zero, it suggests that fact-based movies have just as many stars as fictional movies on average.

2. Additionally, check the p-values associated with the coefficients. A p-value less than 0.05 indicates that the coefficient is statistically significant, meaning that it is unlikely to have occurred by chance. If the p-value is significant, it provides further evidence to support the suggestion made by the coefficient.

By examining these factors in regression 2 and regression 3, you will be able to determine whether the regressions suggest that fact-based movies have fewer stars, more stars, or just as many stars as fictional movies on average. Remember to interpret the results of the regressions accurately and objectively.

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Answer:

0

Step-by-step explanation:

Here, we want to find the number of solutions that the equation have.

We can easily find this by solving the equation;

2 + 34x -5 = 3x -3-94x

2-5 + 34x = 3x -94x -3

-3 + 34x = -91x -3

Now since we have -3 on both sides, we can easily cancel out and we are left with;

34x = -91x

This shows that we cannot find x and thus the equation has no solution

The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

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The value of k(10) is 6.

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Answer:

the first term is 8 and common difference d is -4.

Step-by-step explanation:

We are given nth term of an arithmetic sequence is: aₙ=12-4n

We need to find first term and common difference of given arithmetic sequence

First term can be found by  putting n=1:

\(a_n=12-4n\\a_1=12-4(1)\\a_1=12-4\\a_1=8\)

So, first term is a₁= 8

Now to find common difference we need to find second term

Second term can be found by putting n=2

\(a_n=12-4n\\a_2=12-4(2)\\a_2=12-8\\a_2=4\)

So, second term is: 4

The common difference is found by subtracting second term with first term: a₂-a₁= 4-8 = -4

So, first term is 8 and common difference d is -4

Answer:

60%

Step-by-step explanation:

Percentage

= 15/25 × 100%

=3/5 × 100%

= 60%

Answer: 60%

Step-by-step explanation:

Multiply both 25 and 15 by 4. Your fraction is 60/100 which is the same thing as 60%

Solving a quadratic equation, it is found that the largest possible value of a is of a = 5.

A quadratic equation is modeled by the following rule:

y = ax^2 + bx + c

The solutions of the equations are the values of x for which y = 0.

For this problem, the equation is:

a² - 6a - 9 = b.

b = -9 - a, hence we replace in the equation as follows;

a² - 6a - 9 = -9 - a

a² - 5a = 0.

Traditionally, the solutions are given using Bhaskara's formula, however, since the coefficient c is zero, we can solve the equation by elimination as follows:

a² - 5a = 0.

a(a - 5) = 0.

Then the solutions are:

5 > 0, hence the largest possible value of a is of a = 5.

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Answer:

\(y=-11x-16\)

Step-by-step explanation:

We want to find the equation of the tangent line to the function:

\(f(x)=4x^2+5x\)

At the point (-2, 6).

First, we will need the slope of the tangent line. So, differentiate* the function:

\(f'(x)=8x+5\)

Find the slope when x = -2:

\(f'(-2)=8(-2)+5=-11\)

Now, we can use the point-slope form:

\(y-y_1=m(x-x_1)\)

Our point is (-2, 6) and our slope is -11. Substitute:

\(y-(6)=-11(x-(-2))\)

Simplify:

\(y-6=-11(x+2)\)

Distribute:

\(y-6=-11x-22\)

And add six to both sides. Therefore, our equation is:

\(y=-11x-16\)

If you have not yet learned differentiation, here's the method using the difference quotient! The difference quotient is given by:

\(\displaystyle f'(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}\)

Here, x = -2. Substitute:

\(\displaystyle f'(-2)=\lim_{h\to 0}\frac{f(-2+h)-f(-2)}{h}\)

Substitute (we are given the point (-2, 6). So, f(-2) = 6).

\(\displaystyle f'(-2)=\lim_{h\to 0}\frac{(4(-2+h)^2+5(-2+h))-(6)}{h}\)

Expand and simplify:

\(\displaystyle f'(-2)=\lim_{h\to 0}\frac{(4(4-4h+h^2)+(-10+5h))-(6)}{h}\)

Distribute:

\(\displaystyle f'(-2)=\lim_{h\to 0}\frac{16-16h+4h^2-10+5h-6}{h}\)

Simplify:

\(\displaystyle f'(-2)=\lim_{h\to 0}\frac{4h^2-11h}{h}\)

Evaluate the limit (using direct substitution):

\(\displaystyle f'(-2) = \lim_{h\to 0}4h-11=4(0)-11=-11\)

On the second day 28 people will have received the email.

To determine the expression that graphs this situation and determine the number of people who will have received the e-mail, the following calculation must be made:

Thus, if the email is forwarded two days in a row, this formula operates as follows:

Therefore, on the second day 28 people will have received the email.

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Using Euler's method with a step size of h = 1.5, the value of y(3) is approximately -13.025.

To approximate the value of y(3) using Euler's method with a step size of h = 1.5, we can iteratively compute the values of y at each step.

The given differential equation is:

2y + 16 = 5x

We are given the initial condition y(0) = 3.6, and we want to find the value of y at x = 3.

Using Euler's method, the update rule is:

y(i+1) = y(i) + h * f(x(i), y(i))

where h is the step size, x(i) is the current x-value, y(i) is the current y-value, and f(x(i), y(i)) is the value of the derivative at the current point.

Let's calculate the values iteratively:

Step 1:

x(0) = 0

y(0) = 3.6

f(x(0), y(0)) = (5x - 16) / 2 = (5 * 0 - 16) / 2 = -8

y(1) = y(0) + h * f(x(0), y(0)) = 3.6 + 1.5 * (-8) = 3.6 - 12 = -8.4

Step 2:

x(1) = 0 + 1.5 = 1.5

y(1) = -8.4

f(x(1), y(1)) = (5x - 16) / 2 = (5 * 1.5 - 16) / 2 = -6.2

y(2) = y(1) + h * f(x(1), y(1)) = -8.4 + 1.5 * (-6.25) = -8.4 - 9.375 = -17.775

Step 3:

x(2) = 1.5 + 1.5 = 3

y(2) = -17.775

f(x(2), y(2)) = (5x - 16) / 2 = (5 * 3 - 16) / 2 = 2.5

y(3) = y(2) + h * f(x(2), y(2)) = -17.775 + 1.5 * 2.5 = -17.775 + 3.75 = -13.025

Therefore, using Euler's method with a step size of h = 1.5, the value of y(3) is approximately -13.025.

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Answer:

it would be 150 more, so 1650

Step-by-step explanation:

divide 1500 by 10 to get 10%

Answer:

512.

Step-by-step explanation:

First there is 111, 222  ......   888.

There are 8 of these.

Then there are the number of ways you can arrange numbers when 2 of them are the same

= 8P3/2

= 168

Finally if all numbers are different the number of ways

= 8P3 = 336

Answer is 8 + 168 + 336

= 512.

Answer:

The correct statement is B (are very sensitive to change in price)

Step-by-step explanation:

Option B is correct because of the following reason -:

The degree to which a rise in price affects the quantity demanded or supplied is known as elasticity. In the case of elastic demand and supply, as the price rises, the quantity demanded falls and the quantity supplied rises more than proportionally. Inelastic price elasticity of demand and supply, on the other hand, induces a less than proportional change in quantity as prices change.

Hence , the correct option is B .

Answer:

-14

Step-by-step explanation:

12mn-8mt+9t²-6mt

12mn+9t²-14mt

the coefficient of mt is -14

The coefficient of the given expansion 4m(3n-2t)+3t(3t-2m)​ will be -14.

Expanded form is the term used in mathematics to refer to the process of expanding a number to convey the value of every digit and place value.

When a mathematical object is increased by a multiplier that is bigger in actual values than one, an expansion follows.

In another word, if you solve a factor by opening the bracket then you will go to get on some expanded term called expansion.

In mathematics, all real-life problems can be converted into equations which are sometimes in form of factors and we need to expand them to create solutions.

Given that

⇒ 4m(3n-2t)+3t(3t-2m)​

⇒  12mn -8mt + 9t² - 6mt

⇒  12mn + 9t² + 14 mt

Hence it's clear that the coefficient of mt will be -14.

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