in triangle WXY, if m

Answer:

\( y = 5x\)

And we need to ee what happen if we increase the value of x by a factor of 2. So then for this case we can set up the equation like this:

\( y_f = 5(2x) = 10x\)

And if we find the ratio between the two equations we got:

\( \frac{y_f}{y} =\frac{10x}{5x} =2\)

So then if we increase the value of x by a factor of 2 then the value of y increase also by a factor of 2

Step-by-step explanation:

For this case we have this equation given:

\( y = 5x\)

And we need to ee what happen if we increase the value of x by a factor of 2. So then for this case we can set up the equation like this:

\( y_f = 5(2x) = 10x\)

And if we find the ratio between the two equations we got:

\( \frac{y_f}{y} =\frac{10x}{5x} =2\)

So then if we increase the value of x by a factor of 2 then the value of y increase also by a factor of 2

Answer:

  (√2/2)(sin(x) +cos(x))

Step-by-step explanation:

You want sin(x+π/4) written in terms of sine and cosine.

The sine of the sum of two angles is found using the identity ...

  sin(α +β) = sin(α)cos(β) +cos(α)sin(β)

Choosing α=x and β=π/4, this becomes ...

  sin(x +π/4) = sin(x)cos(π/4) +cos(x)sin(π/4)

The trig function values are ...

  sin(π/4) = cos(π/4) = √2/2, so the expression can be written ...

  sin(x +π/4) = sin(x)√2/2 +cos(x)√2/2

  sin(x +π/4) = (√2/2)(sin(x) +cos(x))

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Answer:

the answer is 26

Distance traveled after toll payment is 1.2 miles on highway 40.

The distance may be calculated using a curved route. Displacement measurements can only be made along straight lines. Distance is path-dependent, meaning it varies depending on the direction followed. Displacement simply depends on the body's beginning and ending positions; it is independent of the route.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

The size or extent of the displacement between two points is referred to as distance. Keep in mind that the distance between two points and the distance traveled between them are not the same. The entire length of the journey taken between two points is known as the distance traveled. Travel distance is not a vector.

Distance traveled before toll payment =3/5 miles on highway 40

Distance traveled after toll payment =2*3/5  = 6/5 =

1.2 miles on highway 40.

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Out of 69 students in the art class, around 23 are expected to fail the mathematics test, assuming the probability of passing given is 2/3.

To determine how many students are likely to fail mathematics in the art class, we need to use the given probability of passing the mathematics test, which is 2/3.

First, let's find the probability of failing the mathematics test. Since passing and failing are complementary events (i.e., if the probability of passing is p, then the probability of failing is 1 - p), we can calculate the probability of failing as 1 - 2/3, which simplifies to 1/3.

Now, let's consider the art class, which has a total of 69 students. If the probability of failing mathematics is 1/3, then approximately 1/3 of the students in the art class are likely to fail the mathematics test.

To find the number of students likely to fail, we multiply the probability of failing (1/3) by the total number of students in the art class (69).

(1/3) * 69 ≈ 23

Therefore, approximately 23 students are likely to fail mathematics in the art class of 69 students based on the given probability of passing the mathematics test.

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The maximum and minimum value of η at q = 10 and q = 85 respectively.

The demand equation is p = 190/ (q + 10) where 10 < 0 < 85.

η is the elasticity of demand.

Then, the elasticity of demand is given as:

η = ( dq/ dp) × ( p / q )

Now, we have p = 190/ (q + 10)

Therefore,

p ( q + 10 ) = 190

pq + 10p = 190

q = ( 190 - 10p ) / p

Now,

dq / dp = ( d/dp ) ( ( 190 - 10p ) / p )

dq / dp =  ( -190/ p² )

Substituting these values in the elasticity demand,

η = ( dq/ dp) × ( p / q )

η = ( -190/ p² ) × ( p / q )

η = ( -190/ pq )

η = ( -190/ [190 / (q + 10 ) ]q )

η = [ - ( q + 10 ) / q ]

| η | = | - ( q + 10 ) / q |

η =  ( q + 10 ) / q = 1 + 10/q

The critical point is when | η' | = 0.

η' = ( d / dq ) ( 1 + 10/q )

η' = - 10/ q²

- 10/ q² = 0

Hence, - 10/ q² is not defined.

Therefore, the function is not defined at q = 0.

Therefore, q = 0 is not a solution.

We have 10 ≤ q ≤ 85

The value of functions at the endpoint,

At q = 10,

η = ( 1 + 10/q )

η = ( 1 + 10/10 )

η = 1 + 1 = 2

At q = 85,

η = ( 1 + 10/q )

η = ( 1 + 10/85 )

η = 1.11764

Therefore, the absolute value of the elasticity of demand is maximum at q = 10.

The absolute value of the elasticity of demand is minimum at q = 85.

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Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

Answer:

12!

Step-by-step explanation:

А=12*11*10*9*8*7*6*5*4*3*2*1=12!=479001600

Answer:

1. -64

2.-27

Step-by-step explanation:

Hopes this helps

:)

The area of a circle (A) with radius "r" is:

To solve this question, follow the steps below.

Step 01: Find r.

The radius is half the measure of the diameter.

Given D = 12 feet, then:

Step 02: Find A.

Use r = 6 feet to find A.

Answer: The area is 36π square feet.

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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The recursive formula of the linear growth model is Pₙ = Pₙ ₋ ₁ + 5

The explicit formula of the model is P(n) = 7 + 5n

37 cars are sold in the 6th week

From the question, we have the following parameters that can be used in our computation:

P₀ = 7

P₁ = 12

So, the common difference is

d = 12 - 7

Evaluate

d = 5

The recursive formula of the linear growth model is

Pₙ = Pₙ ₋ ₁ + d

So, we have

Pₙ = Pₙ ₋ ₁ + 5

Here, we have

P₀ = 7

d = 5

The explicit formula of the linear growth model is

P(n) = P₀ + nd

So, we have

P(n) = 7 + 5n

This means that

n = 6

So, we have

P(6) = 7 + 5 * 6

Evaluate

P(6) = 37

Hence, 37 cars are sold in the 6th week

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By plugging in the values given into \(c * \frac{bc}{4} - (7 - a)\) and using BODMAS rule, the algebraic expression can be evaluated as 47

\(\mathbf{c * \frac{bc}{4} - (7 - a) = 47}\)

Given the algebraic expression, \(c * \frac{bc}{4} - (7 - a)\), to evaluate the expression if a = 4, b = 8, and c = 5, plug in the values into the equation as shown below:

\(5 * \frac{(8)(5)}{4} - (7 - 4)\\\)

\(5 * \frac{40}{4} - (3)\\\\5*10 - 3\)

Applying the BODMAS rule, multiply before you subtract

= 50 - 3

= 47

Therefore, by plugging in the values given into \(c * \frac{bc}{4} - (7 - a)\) and using BODMAS rule, the expression can be evaluated as 47

\(\mathbf{c * \frac{bc}{4} - (7 - a) = 47}\)

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Answer:

She would get 0.25 cents

Step-by-step explanation:

what you would do is add 24.97, 17.23 and 7.55 together and get a total of 49.75 and subtract that from 50 and get 0.25

please mark me brainliest

Answer:0.25

Step-by-step explanation:

Answer:

A. 2

Step-by-step explanation:

The computation is shown below:

As we know that

The Volume of a right circular cylinder is

\(V = \pi r^h\\\\\)

Here r is the radius

And h is the height

Now it is mentioned that the height of the right circular cylinder P is double to the height of the right circular cylinder Q

Now let us assume h be the height of cylinder p

And, H be the  height of cylinder Q

So the equation is

h = 2H ........(1)

Also

The radius of both the cylinders would be the similar length

So

we assume the r be the radius of both cylinders

Now

The Volume of cylinder Q = \(V_Q = \pi r^2H\)

And for P it is \(V_p = \pi r^2 h\)

Now substitute equation 1

\(V_p = \pi r^2(2H)\\\\V_p= 2 \pi r^2hH\\\\V_p = 2(\pi r^2H)\\\\V_p = 2(V_Q)\)

Hence, the correct option is A.

Answer:

Variable

x which stands for no. of toppings on pizza

equation

7 + 1.5x = 11.50

solution

the no. of toppings = 3

Step-by-step explanation:

Let the number of topping be x.

Cost of 1 topping = $1.50

Cost of x topping = x*Cost of 1 topping = $1.5*x = $1.5x

Cost of cheese pizza = $7.00

Total cost for cheese pizza for x topping = Cost of cheese pizza + Cost of x topping

Total cost for cheese pizza for x topping = 7 + 1.5x

Given that The total charge for Megan's pizza was $11.50

thus,

7 + 1.5x = 11.50

1.5x = 11.50 - 7

1.5x = 4.5

x = 4.5/1.5 = 3

Thus, there were three toppings

______________________________________

Variable

x which stands for no. of toppings on pizza

equation

7 + 1.5x = 11.50

solution

the no. of toppings = 3

Answer:

Part A :

Robin : 50 divided by 4 = 12.5, Robin took 12.5 Weeks to get to 50 subscribers.

Dimitri : 17 divded by 7 = 2.4, Dimitri took 2.4 weeks to get to 7 subscribers.

Part B : In 7 weeks, Dimitri will have 66 subscribers, And in 4 weeks, Robin will have 66 subscribers. So after 7 weeks for Robin and 4 for Dimitri

Part C , They will have 66 subscribers. After 7 weeks Dimitri will have 66 subcribers, and after 4 weeks Robin will have 66 subscribers.

Explanation :

I have calculated out Robins and Dimitris subscribers counts with math.

Part A: The attached image is for Robin but I didn't have time for Dimitri.

Dimitri: Currently has 17 subscribers, 7x11=77. 17+77 = 94 and the same goes for Robin.

Robin: Currently he has 50 subscribers, 4x11=44. 50+44 = 94.

Part B: After 11 weeks Robin and Dimitri will have the same number of subscribers.

Part C: Robin and Dimitri will have 94 Subscribers when their subscriber count is equal.

Step-by-step explanation:

so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.

the slope in

y = 2x + 2

is the factor of x : 2 or 2/1

the perpendicular slope is turning this upside down and flips the sign : -1/2

the point- slope form is

y - y1 = a(x - x1)

"a" being the slope, (x1, y1) being the point.

y - 9 = -1/2(x - -2)

y - 9 = (-1/2)x - 1

y = (-1/2)x + 8

Answer:

Step-by-step explanation:

1.)  H (greater than or equal to) 36in

2.) N (Less than or equal to) 1200

3.) A (greater than or equal to) 13

Answer: 800 meters

Step-by-step explanation: question is already on brainly make sure to check next time!

Answer:

8) x + 20

9) 20x

10) 20/x

11) x-20

Step-by-step explanation:

8) x + 20

9) 20x

10) 20/x

11) x-20

Convert \(-1+i\) to polar form.

\(z = -1 + i \implies \begin{cases}|z| = \sqrt{(-1)^2 + 1^2} = \sqrt2 \\\\ \arg(z) = \pi + \tan^{-1}\left(\dfrac1{-1}\right) = \dfrac{3\pi}4 \end{cases}\)

By de Moivre's theorem,

\(\left(-1+i\right)^7 = \left(\sqrt2 \, e^{i\,\frac{3\pi}4}\right)^7 \\\\ ~~~~~~~~ = \left(\sqrt2\right)^7 e^{i\,\frac{21\pi}4} \\\\ ~~~~~~~~ = 8\sqrt2 \, e^{-i\,\frac{3\pi}4} \\\\ ~~~~~~~~ = 8\sqrt2 \left(\cos\left(\dfrac{3\pi}4\right) - i \sin\left(\dfrac{3\pi}4\right)\right) \\\\ ~~~~~~~~ = 8\sqrt2 \left(-\dfrac1{\sqrt2} - \dfrac1{\sqrt2}\,i\right) \\\\ ~~~~~~~~ = -8 (1 + i)\)

QED

Answer:

370 million

Step-by-step explanation:

In the 10 years from 2000 to 2010, the population was multiplied by the factor ...

100% + 9.6% = 109.6% = 1.096

In the next 20 years from 2010 to 2030, the population will be multiplied by that factor twice, if it grows at the same rate:

2030 population = (308 million)·(1.096²) ≈ 370 million

Answer: 8

Step-by-step explanation:

10% of 40 is 4

20% of 40 is 8

Answer:

8

Step-by-step explanation:

Using the part  whole = percentage = 100 formula, you put 40 over 100 and 20 as the whole. Then divide 40/100 to get 0.4. Then multiply 20 by 0.4 to get 8

Thus, the greatest number of servings given in this box of cereal is 13 servings.

A measurable quality, such as pressure, volume, length, mass, or time. A unit is a reference amount used to measure other quantities (for example, a gramme, a second, a litre, or a pascal are units for those quantities). Physical quantities are those quantities which may be measured. A basic universally agreed standard for measuring these physical quantities is the unit.

Given data:

Total weight of a cereal box:  19 1/4 ounces

convert in proper fraction:

= (19*4 + 1)/4 ounces

= 77/4 ounces

one serving/ unit quantity :  1 1/2 ounces

convert in proper fraction:

= (1*2 + 1)/2 ounces

= 3/2 ounces

greatest number of servings = Total weight / unit quantity

greatest number of servings = 77/4 ounces / 3/2 ounces

greatest number of servings = (77*2) / (4*3)

greatest number of servings = 12.83

greatest number of servings = 13 servings  (approx.)

Thus, the greatest number of servings given in this box of cereal is 13 servings.

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7,150,000

The population of Georgia is 10,500,000.

The population of Virginia is 30% less than that.

So the population of Virginia is 10,500,000 - 30% which equals 7,150,000

Answer:

180

Step-by-step explanation:

The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:

A=10×18

A=180

The area of the parallelogram is 180 square units

The value x in the secant line using the Intersecting theorem is 4.

Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.

From the figure:

First sectant line segment = ( x - 1 ) + 5

External line segment of the first secant line = 5

Second sectant line segment = ( x + 2 ) + 4

External line segment of the second secant line = 4

Using the Intersecting secants theorem:

5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )

Solve for x:

5( x - 1 + 5 ) = 4( x + 2 + 4 )

5( x + 4 ) = 4( x + 6 )

5x + 20 = 4x + 24

5x - 4x = 24 - 20

x = 4

Therefore, the value of x is 4.

Option C) 4 is the correct answer.

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Answer:

The equation of the line would be y + 6 = - 2(x - 1).