Find the area of the shaded region.
round to the nearest tenth.
1230
18.6 m
area = [ ? ] m2

The equation of linear function is y=x-1.

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

The given values are

x=1, y=0

x=2, y=1

x=3, y=2

x=4, y=3

The table represents that for the value of x the value of y is x-1,

Since for any two points from the table, let (1,0) and (2,1)

The slope = 2-1/1-0 = 1

And the interception of y is 0 when x=1

Therefore, the equation of the function can be written as,

y=x-1

Y=x-1 is the required equation.

To know more about Equation of line on:

https://brainly.com/question/21511618

#SPJ1

Answer:

45

Step-by-step explanation:

Given

3z² - 6z ← substitute z = 5 into the expression

= 3(5)² - 6(5)

= 3(25) - 30

= 75 - 30

= 45

Answer:

Step-by-step explanation:

First, convert the z’s to numbers.

3(5) squared - 6(5)

do the squared first

3(25)-6(5)

multiply

75-30=45

Answer:45

Answer: 好吧，您看到当您将其乘以 73 然后除以 时，您将获得免费的旁遮普语和免费的，乔·佩珀将在凌晨 3 点拜访您

Step-by-step explanation: 详见附件

The paint needed is the surface area of the cylinder and he answer is approximately 296.73 cm².

A three-dimensional object's surface area is the sum of all of its faces. Real-world applications of the notion of surface areas include wrapping, painting, and finally constructing things to get the greatest potential design.

The area of the lateral surface (the curved portion) and the areas of the top and bottom circles must be added to get the soup can's surface area.

The lateral surface area is calculated by dividing the can's height by its circumference (the distance around the circular base). The diameter is multiplied by to determine the circumference.

The area of the lateral surface (the curved portion) and the areas of the top and bottom circles must be added to get the soup can's surface area.

The lateral surface area is calculated by dividing the can's height by its circumference (the distance around the circular base). The diameter is multiplied by to determine the circumference.

Circumference = diameter × π = 7 cm × 3.14 = 21.98 cm

Lateral surface area = height × circumference = 10 cm × 21.98 cm = 219.80 cm²

The area of each circular top/bottom is given by:

Area of circle = π × radius²

The radius is half of the diameter, which is 7/2 = 3.5 cm.

Area of each circle = π × (3.5 cm)² = 38.48 cm²

The total surface area of the soup can is the sum of the lateral surface area and the two circular areas:

Total surface area = Lateral surface area + 2 × Area of each circle

Total surface area = 219.80 cm² + 2 × 38.48 cm²

Total surface area = 296.76 cm²

Therefore, the answer is approximately 296.73 cm².

Learn more about lateral surface area here:

https://brainly.com/question/14001755

#SPJ1

Answer:

I think 7.5 answer is right

Answer:

2.5 cm.

Step-by-step explanation:

7.5 - 5

= 2.5

9514 1404 393

Answer:

  367 miles per hour

Step-by-step explanation:

The speed of the faster train is half the total plus half the difference:

  s1 = (723.1 +10.9)/2 = 367 . . . . miles per hour

_____

Check

The slower train is 367-10.9 = 356.1, and the total is 723.1 mph, as required.

_____

If you want an equation, you can let x represent the faster speed. Then the total is ...

  x + (x -10.9) = 723.1

  2x = 723.1 +10.9

  x = (723.1 +10.9)/2 = 367

Answer and Step-by-step explanation:

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

5 + 5

5

5/5

5/5 + 5

5/5 + 5/5

5/5 + 5/5 + 5/5

5/5 + 5/5 + 5/5 + 5/5

5 + 5/5 + 5/5

5 + 5/5 + 5/5 + 5/5

5 + 5/5 + 5/5 + 5/5 + 5/5

5 - 5

*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^

#teamtrees #WAP (Water And Plant)

If Ethan watches fewer than 6 movies per month, Plan A would be more expensive. If he watches more than 6 movies per month, Plan B would be more expensive.

For Plan A, the monthly cost is composed of a fixed fee of $28 plus a variable fee of $2.50 per movie watched. So, if Ethan watches x movies per month, the monthly cost for Plan A can be represented by the equation:

A = 28 + 2.5x

Here, A represents the monthly cost of Plan A, and x represents the number of movies Ethan watches per month.

For Plan B, the monthly cost is also composed of a fixed fee of $37, but the variable fee per movie watched is only $1. So, if Ethan watches x movies per month, the monthly cost for Plan B can be represented by the equation:

B = 37 + 1x

Again, B represents the monthly cost of Plan B, and x represents the number of movies Ethan watches per month.

To find the number of monthly movies watched, x, that would make the two plans have an equal monthly cost, we need to solve the equation:

A = B

So, we can substitute the equations for A and B to get:

28 + 2.5x = 37 + 1x

Now we can solve for x:

2.5x - 1x = 37 - 28

1.5x = 9

x = 6

So, if Ethan watches 6 movies per month, the monthly cost of Plan A and Plan B would be equal, at $41 per month.

To know more about equation here.

https://brainly.com/question/10413253

#SPJ4

The number of litres (Volume) of oil that is present in the tank of given dimension is calculated to be 806 litres (approximately).

The volume of any cylinder can be calculated using the formula,

V = πr²h

(Here V is the volume, r is the radius of the base, and h is the height of the cylinder)

As, the cylinder is one-fifth full of oil, which means that it is four-fifths empty. Therefore, the volume of oil in the tank is:

Volume of oil = (1/5) x Total Volume

Substituting the given values, we have:

Total Volume =  π(80cm)²(200cm) = 4,031,240 cm³

Volume of oil = (1/5) x 4,031,240 cm³ = 806,248 cm³

Converting cm³ to litres, we have:

1 litre = 1000 cm³

Volume of oil = 806,248 cm³ ÷ 1000 = 806.248 litres

Therefore, after rounding of the final volume (806.248 litres) to the nearest litre, the final answer is found to be 806 litres of oil.

Learn more about volume of cylender :

https://brainly.com/question/16134180

#SPJ4

The highest exponent of x in F(x) is 37, which means the algebraic degree of the function is 37.

The function F(x) is a cubic function.

Here, we have,

given function is:

F(x) = α⁴⁹ * x³⁷ + α⁵² * x²⁸ + α⁸¹ * x¹³ + α²⁶ * x⁹ + α³¹ * x

To determine the algebraic degree of the given (7,7)-function F(x), we need to find the highest exponent of x in the function.

F(x) = α⁴⁹ * x³⁷ + α⁵² * x²⁸ + α⁸¹ * x¹³ + α²⁶ * x⁹ + α³¹ * x

The algebraic degree of a polynomial function corresponds to the highest exponent of the variable in the function.

Linear functions have an algebraic degree of 1, affine functions have an algebraic degree of 1 or 0, quadratic functions have an algebraic degree of 2, and cubic functions have an algebraic degree of 3.

so, we get,

The highest exponent of x in F(x) is 37, which means the algebraic degree of the function is 37.

Therefore, the function F(x) is a cubic function.

To learn more on function click:

brainly.com/question/21145944

#SPJ4

Answer:

There is no difference ???

Step-by-step explanation:

The numerical measure of linear association is b. correlation coefficient.

The correlation coefficient is a statistical measure that represents the degree of linear relationship between two variables. It takes values between -1 and 1, where -1 represents a perfect negative linear correlation, 0 represents no linear correlation, and 1 represents a perfect positive linear correlation.

A positive correlation means that when one variable increases, the other variable also tends to increase, while a negative correlation means that when one variable increases, the other variable tends to decrease.

The correlation coefficient is calculated using the formula:

\(r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)]\)

where r is the correlation coefficient, n is the sample size, Σxy is the sum of the products of the corresponding values of x and y, Σx and Σy are the sums of x and y respectively, and Σx^2 and Σy^2 are the sums of the squares of x and y respectively.

In summary, the correlation coefficient is a measure of the strength and direction of the linear association between two variables.

Learn more about correlation coefficient

brainly.com/question/15577278

#SPJ11

Answer:

the question has some problems

We find that there are 84 natural numbers which are less than 100 that are not divisible by 2, 3, or 5.

There are 150 natural numbers less than 100. To find the number of natural numbers that are not divisible by 2, 3, or 5, we need to subtract the numbers that are divisible by these primes from the total count.

Step 1: Count the numbers divisible by 2:
There are 100/2 = 50 numbers divisible by 2.

Step 2: Count the numbers divisible by 3:
There are 100/3 = 33 numbers divisible by 3.

Step 3: Count the numbers divisible by 5:
There are 100/5 = 20 numbers divisible by 5.

Step 4: Count the numbers divisible by both 2 and 3:
There are 100/6 = 16 numbers divisible by both 2 and 3.

Step 5: Count the numbers divisible by both 2 and 5:
There are 100/10 = 10 numbers divisible by both 2 and 5.

Step 6: Count the numbers divisible by both 3 and 5:
There are 100/15 = 6 numbers divisible by both 3 and 5.

Step 7: Count the numbers divisible by 2, 3, and 5:
There are 100/30 = 3 numbers divisible by 2, 3, and 5.

Step 8: Subtract the numbers counted in steps 1-7 from the total count:
150 - (50 + 33 + 20 - 16 - 10 - 6 + 3) = 84

Therefore, there are 84 natural numbers less than 100 that are not divisible by 2, 3, or 5.

Learn more about the natural numbers from the given link-

https://brainly.com/question/2228445

#SPJ11

Answer:

The limits between which T lies is 273 hours 30 mins < T < 242 hours 30 minutes

Step-by-step explanation:

The number of hours Angharad sleeps each night = 8 hours ± 10 minutes

The actual time Angharad sleeps each night = 8 hours ± 5 minutes

Which gives the maximum time Angharad sleeps = 8 hours 5 minutes = 485 minutes per night

The minimum time Angharad sleeps = 7 hours 55 minutes = 475 minutes

The number of days in the month of November = 30 nights

The maximum time in minutes Angharad sleeps in November, \(T_{max}\) = 30 nights × 485 minutes/night = 14,550 minutes = 242.5 hours = 242 hours 30 minutes

The minimum time in minutes Angharad sleeps in November, \(T_{min}\) = 30 nights × 475 minutes/night = 14,250 minutes = 237.5 hours = 237 hours 30 minutes

Therefore, we have, the limits between which T lies given as follows;

273.5 hours < T < 242.5 hours.

Answer:

235 ≤ T ≤ 245

Step-by-step explanation:

(8 hours per night x 30 nights) = 240 hours

The deviation from 8 hours per night is as much as 10 minutes per night.  

Over 30 nights, the total deviation can be as much as (30 x 10 minutes) = 300 minutes = 5 hours.

So T can be as much as (240 + 5) = 245 hours, or as little as (240 - 5) = 235 hours.

In inequality form,

235 ≤ T ≤ 245

The student made an error in step 3. To correct this error, he should define side AY in terms of angle X. Pythagorean theorem relates sides x, y, z, and angle X

In Trigonometry, law of cosine (cos) is given by this mathematical expression:

cosθ = Opp/Hyp

Where:

In this scenario, we can logically deduce that the student made an error in step 3. To correct this error, he should define side AY in terms of angle X.

After correcting this error, the student can use the Pythagorean theorem to relate sides x, y, z, and angle X.

Read more on law of cosine here: https://brainly.com/question/27613782

#SPJ1

(a) The coordinates of the two focal points of the ellipse x^2/9 + y^2/25 = 1 are (-4, 0) and (4, 0).

(b) The eccentricity of the ellipse is √(1 - b^2/a^2) = √(1 - 25/9) = √(16/9) = 4/3.

(a) The general equation of an ellipse centered at the origin is x^2/a^2 + y^2/b^2 = 1, where a is the semi-major axis and b is the semi-minor axis. Comparing this with the given equation x^2/9 + y^2/25 = 1, we can see that a^2 = 9 and b^2 = 25. Therefore, the semi-major axis is a = 3 and the semi-minor axis is b = 5. The focal points are located along the major axis, so their coordinates are (-c, 0) and (c, 0), where c is given by c^2 = a^2 - b^2. Plugging in the values, we find c^2 = 9 - 25 = -16, which implies c = ±4. Therefore, the coordinates of the focal points are (-4, 0) and (4, 0).

(b) The eccentricity of an ellipse is given by e = √(1 - b^2/a^2). Plugging in the values of a and b, we have e = √(1 - 25/9) = √(16/9) = 4/3. This represents the ratio of the distance between the center and either focal point to the length of the semi-major axis. In this case, the eccentricity of the ellipse is 4/3.


To learn more about ellipse click here: brainly.com/question/32248620

#SPJ11

Answer:

Step-by-step explanation:

if there is a picture i will like to see in order to help you

The total number of different paths which we can have as calculated from the given data is 6.

To know the number of different three-step paths along the edges of a cube are there that take us from vertex a  to vertex b.

For the first path no of different ways = 3

For the second path no of different ways = 2

For the third path no of different ways = 1

Therefore , the total number of ways

= 3 x 2 x 1

= 6

The solid three-dimensional shape also known as a cube has six square faces, eight vertices, and twelve edges. A cube is also known as a hexahedron.

To learn more about cubes

brainly.com/question/13024117

#SPJ4

Answer:100

Step-by-step explanation:

Because

Answer:

It represents 1 + the percent of the markup written in decimal form

Answer:

percent of original price being paid

The expected number of times a 3 will be rolled in 20 rolls is A. 80/11.

We can start by finding the probability of rolling a 3 on any given roll. If a 3 is rolled four out of every eleven times, then the probability of rolling a 3 on any given roll is 4/11.
Now we can use the formula for the expected value of a binomial distribution to find the expected number of times a 3 will be rolled in 20 rolls:
E(X) = np
where E(X) is the expected number of successes (in this case, rolling a 3), n is the number of trials (20), and p is the probability of success (4/11).
E(X) = 20 * (4/11)
E(X) = 80/11

Learn more about probability here:

https://brainly.com/question/16447117

#SPJ11

A parabola is a figure similar to the following:

In the example given the parabola opens downwards and the vertex acts as a maximum point. We can also have the following:

This parabola opens upwards and the vertex acts as a minimum point.

Now, the range is the values of the y-variable that the function outputs. We notice that in the first case, the range is the values that are smaller than the y-coordinate of the vertex.

In the second case, we notice that the range is the values that are greater than the y-coordinate of the vertex.

Therefore, we can conclude that the range is determined by the vertex, therefore, the right answer would be C.

The two distances are equal, which means the points (2, -8) and (0, -8) are symmetric about the axis of symmetry x = 1, or the vertex (1, -9).

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The vertex of a parabola in standard form, f(x) = a(x - h)² + k, is at the point (h, k).

We can rewrite the given equation, f(x) = x² - 2x - 8, in standard form by completing the square:

f(x) = x² - 2x - 8

= (x² - 2x + 1) - 1 - 8

= (x - 1)² - 9

So the vertex of the parabola is at the point (1, -9), where h = 1 is the x-coordinate of the vertex, and k = -9 is the y-coordinate of the vertex.

To verify that points (2, -8) and (0, -8) are symmetric about the vertex, we can calculate the axis of symmetry, which is x = h, or x = 1 in this case.

The distance between the vertex (1, -9) and the point (2, -8) is the same as the distance between the vertex and the point (0, -8), since these points have the same y-coordinate:

d((1, -9), (2, -8)) = d((1, -9), (0, -8))

Using the distance formula, we can calculate the left-hand side:

d((1, -9), (2, -8)) = √((2 - 1)² + (-8 - (-9))²)

= √(1 + 1)

= √(2)

Using the distance formula again, we can calculate the right-hand side:

d((1, -9), (0, -8)) = √((0 - 1)² + (-8 - (-9))²)

= √(1 + 1)

= √(2)

Hence, the two distances are equal, which means the points (2, -8) and (0, -8) are symmetric about the axis of symmetry x = 1, or the vertex (1, -9).

To learn more about the quadratic equation visit:

brainly.com/question/28038123

#SPJ1

Answer:

20×4=80

4×2×10=80

Step-by-step explanation:

To estimate the result of multiplication (product), round the numbers to some close numbers that you can easily multiply mentally.

One method of estimation is to round all factors to the biggest digit (place value) they have.

you need to round 24 to the nearest ten which is 20 and leave 4 as it is

This scene is an example of dramatic irony used to create suspense since the audience knows that this joyous occasion will ultimately lead to tragedy.

In the scene, Lord Capulet is preparing for his daughter Juliet's wedding to Paris, while the audience knows that Juliet is already secretly married to Romeo. Lord Capulet's excitement and eagerness to prepare for the wedding create suspense and tension for the audience, who knows that this joyous occasion will ultimately lead to tragedy.

Furthermore, the use of music within the scene also adds to the suspense. The audience hears the music, which signifies the arrival of the wedding party, but also knows that this will lead to the revelation of Juliet's secret marriage.

The urgency in Lord Capulet's instructions to the Nurse to wake up Juliet and make haste heightens the tension for the audience, who are aware of the impending disaster.

To know more about dramatic irony here

https://brainly.com/question/29797222

#SPJ4

Complete Question:

Read the excerpt from Act IV, scene iii of Romeo and Juliet.

Capulet Good faith! this day:

The county will be here with music straight,

For so he said he would. [Music within.] I hear him near.

35

This scene is an example of dramatic irony used to create suspense since the audience knows that

By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m

What is relation between metre and kilometre?

Relation between  metre and kilometre is that 1 kilometre =1000 metre

we know that kilometre and metre are two units of distance and we can convert data from one to another using their relation

Now here given distance is in kilometre

and distance is67 kilometre

We can convert 67 kilometre  in metre as

67 kilometre = 67 \(\times\)1000metre

67 kilometre = 67000 metre =67000 m

By using relation between metre and kilometre we got that if The distance from home to the history museum is six and seven-tenths kilometres then he travel 67000 m

To know more about distance visit : https://brainly.com/question/17273444

Answer:  ( B ) (6,700)

Step-by-step explanation:

i checked the question on my quick check

Answer:

V÷ 2

Step-by-step explanation:

Get peevious number and divide by half.