which is another way to wite the product of 18 x 6

Answer:

\(y-6=2\,(x-4)\)

or in slope y-intercept form :

\(y=2x-2\)

Step-by-step explanation:

The easiest way of find the answer for this is to use what is called the "point-slope" form of a line, because you are in fact given the value of the slope (m) and also a point   \((x_0,y_0)\)  it goes through:

\(y-y_0=m\,(x-x_0)\)

In our case the equation becomes:

\(y-y_0=m\,(x-x_0)\\y-6=2\,(x-4)\\\)

This can also be written in the slope-intercept form by solving for "y" and operating to remove the parenthesis:

\(y-6=2\,(x-4)\\y=2x-8+6\\y=2x-2\)

Answer:

i try my best to find the answer if i can

Step-by-step explanation:

Answer:

The anwser is B. -3 Hope This Helps!

Step-by-step explanation:

Answer:

The Guy Above Me Is Wrong, It's Not B.

Step-by-step explanation:

I Think It's Actually A.

Answer:

Well, the smallest successive composites with gap 17, 73, 2, and 19 would have to be:

1. $341 = 11 \times 31$

2. $458 = 2 \times 299$

3. $460 = 2^2 \times 5 \times 23$

4. $479 = 13 \times 37$

Answer:

octagon

Hope it helps

I am sure about this

Answer:

800,000

Step-by-step explanation:

8 is in the hundred thousands, 1 is in the ten thousands, 1 is in the thousands, 5 is in the hundreds, 7 is in the tens, 0 is in the ones place

It rounds down as its nowhere near 900,000 which changes all its digits.

By definition, there are the following intervals in Interval notation:

1. A Closed interval: It includes its endpoints. To write it, you must use brackets []

2. An Open interval: It does not include its endpoints, to write it you must use parentheses ().

For this case, since you need to find the set of all numbers from 5 to 12, inclusive, you must write this as a Closed interval, because it includes the endpoints 5 and 12.

Therefore, knowing the above, you can write the set of all numbers from 5 to 12 inclusive, in Interval notation. Then, the answer is the following:

Each number in the sum is even, so we can remove a factor of 2.

2 + 4 + 6 + 8 + ... + 78 + 80 = 2 (1 + 2 + 3 + 4 + ... + 39 + 40)

Use whatever technique you used in (a) and (b) to compute the sum

1 + 2 + 3 + 4 + ... + 39 + 40

With Gauss's method, for instance, we have

S = 1 + 2 + 3 + ... + 38 + 39 + 40

S = 40 + 39 + 38 + ... + 3 + 2 + 1

2S = (1 + 40) + (2 + 39) + ... + (39 + 2) + (40 + 1) = 40×41

S = 20×21 = 420

Then the sum you want is 2×420 = 840.

The angles are opposite angles. Opposite angles are equal:

Hence, it is mathematically represented as:

42x + 4 = 130

Subtract 4 from both sides, we have:

42x + 4 - 4 = 130 - 4

42x = 126

Divide both sides by 42 to get x, we have:

x = 3

Answer:

\( {280m}^{3} \)

Answer:

D. 280 m³

Step-by-step explanation:

The formula for the volume of a cuboid is length × width × height

v = 20 m × 7 m × 2 m = 280 m³

Answer:

\(-\frac{3}{4}\)

Step-by-step explanation:

Substitute the values

(-4)+ (-2)/ 8

-6/ 8

Simplify by 2 (a common factor)

-6/2 = -3

8/2 =4

The area of the composite figure is 111 square units.

A composite figure is a 2D shape or figure that is made up of two or more simpler shapes or figures combined together. These simpler shapes can be any combination of polygons, circles, or other curves.

Composite figures are often formed when two or more basic shapes are put together to create a more complex shape. For example, a figure that consists of a rectangle and a triangle placed together is a composite figure.

To find the area of a composite figure like this, we can break it up into simpler shapes and then find the area of each shape and add them together.

First, we can see that the shape consists of three triangles and a rectangle:

Triangle 1: (0,3), (2,3), (2,7)

Triangle 2: (-7,7), (-7,6), (5,-6)

Triangle 3: (5,1), (-1,-2), (-5,2)

Rectangle: (-3,5), (0,3), (-7,7), (-7,6)

To find the area of each triangle, we can use the formula:

Area = 1/2 * base * height

For Triangle 1, the base is 2 - 0 = 2 and the height is 7 - 3 = 4. So the area is:

Area of Triangle 1 = 1/2 * 2 * 4 = 4

For Triangle 2, the base is 5 - (-7) = 12 and the height is 7 - (-6) = 13. So the area is:

Area of Triangle 2 = 1/2 * 12 * 13 = 78

For Triangle 3, we can see that it is a right triangle with sides of length 6, 6, and 8. So the area is:

Area of Triangle 3 = 1/2 * 6 * 8 = 24

To find the area of the rectangle, we can use the formula:

Area = length * width

The length is the distance between (-7,7) and (-7,6), which is 1. The width is the distance between (-7,7) and (-3,5), which is 5. So the area is:

Area of Rectangle = 1 * 5 = 5

Finally, we can add up the areas of all the shapes to get the total area:

Total Area = Area of Triangle 1 + Area of Triangle 2 + Area of Triangle 3 + Area of Rectangle

Total Area = 4 + 78 + 24 + 5

Total Area = 111 square units

Therefore, the area of the composite figure is 111 square units.

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The correct option is (a) ŷ = -1.34x+21.5 , that is the best model to fit the scatter plot.

A scatter plot (or scatter chart, scatter graph) uses dots to represent values for two(2) different numeric variables. The position of each dot on horizontal and vertical axis indicates values for an individual data point.

The model of the equation best for the plot is,

ŷ = -1.34x+21.5

At point (1,20),

ŷ  = -1.34x+21.5

20 = (-1.34 ×  1) + 21.5

20 ≈ 20.15

At point (3,19),

ŷ = -1.34x+21.5

19 = (-1.34 × 3) + 21.5

19 ≈17.45

At point (5,15),

ŷ = -1.34x+21.5

15 = (-1.34 × 5) + 21.5

15 ≈ 14.75

The model ŷ = -1.34x+21.5   is giving the best estimation.

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Answer will be 27.

Given,

3√81

Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.

For example, squares of

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81
10² = 100

Square roots,

√100 = 10

√81 = 9

√64 = 8

√49 = 7

√36 = 6

√25 = 5

√16 = 4

√9 = 3

√4 = 2

√1 = 1

Now ,

3√81 = 3× 9

= 27.

Thus the value is 27.

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The top and lower sums for n =2,4, and 8 and f(x) = 2 +sin(x),0  x   are as follows:

n = 2: Upper Sum = 7.85398; Lower sum ≈ 7.85398

n = 4: Upper sum ≈ 6.43917; Lower sum ≈ 6.43917

n = 8: Upper sum ≈ 6.35258; Lower sum ≈ 6.352

It is necessary to first divide the range [0, ] into n subintervals of identical width x, where x = ( - 0)/n = /n, in order to calculate the upper and lower sums for the equations f(x) = 2 + sin(x), 0 x for n = 2, 4, and 8. The endpoints of these subintervals are:

x0 = 0, x1 = Δx, x2 = 2Δx, ..., xn-1 = (n-1)Δx, xn = π.

Then, for each subinterval [xi-1, xi], we can approximate the area under the curve by the area of a rectangle whose height is either the maximum or minimum value of f(x) on that interval. The sum of these areas' overall subintervals gives us the upper and lower sums.

For n = 2:

[0, π/2]: f(π/2) = 2 + sin(π/2) = 3

[π/2, π]: f(π) = 2 + sin(π) = 2

[0, π/2]: f(0) = 2 + sin(0) = 2

[π/2, π]: f(π/2) = 2 + sin(π/2) = 3

For n = 4:

[0, π/4]: f(π/4) = 2 + sin(π/4) ≈ 2.70711

[π/4, π/2]: f(π/2) = 2 + sin(π/2) = 3

[π/2, 3π/4]: f(3π/4) = 2 + sin(3π/4) ≈ 2.29289

[3π/4, π]: f(π) = 2 + sin(π) = 2

[0, π/4]: f(0) = 2 + sin(0) = 2

[π/4, π/2]: f(π/4) = 2 + sin(π/4) ≈ 2.70711

[π/2, 3π/4]: f(π/2) = 2 + sin(π/2) = 3

[3π/4, π]: f(3π/4) = 2 + sin(3π/4) ≈ 2.29289

For n = 8:

[0, π/8]: f(π/8) = 2 + sin(π/8) ≈ 2.25882

[π/8, π/4]: f(π/4) = 2 + sin(π/4) ≈ 2.70711

[π/4, 3π/8]: f(3π/8) = 2 + sin(3π/8) ≈ 2.96593

[3π/8, π/2]: f(π/2) = 2 + sin(π/2) = 3

[π/2, 5π/8]: f(5π/8) = 2 + sin(5π/8) ≈ 2.96593

[5π/8, 3π/4]: f(3π/4) = 2 + sin(3π/4) ≈ 2.70711

[3π/4, 7π/8]: f(7π/8) = 2 + sin(7π/8) ≈ 2.25882

[7π/8, π]: f(π) = 2 + sin(π) = 2

[0, π/8]: f(0) = 2 + sin(0) = 2

[π/8, π/4]: f(π/8) = 2 + sin(π/8) ≈ 2.25882

[π/4, 3π/8]: f(π/4) = 2 + sin(π/4) ≈ 2.70711

[3π/8, π/2]: f(3π/8) = 2 + sin(3π/8) ≈ 2.96593

[π/2, 5π/8]: f(π/2) = 2 + sin(π/2) = 3

[5π/8, 3π/4]: f(5π/8) = 2 + sin(5π/8) ≈ 2.96593

[3π/4, 7π/8]: f(3π/4) = 2 + sin(3π/4) ≈ 2.70711

[7π/8, π]: f(7π/8) = 2 + sin(7π/8) ≈ 2.25882

The complete question is:-

Unless specified, all approximating rectangles are assumed to have the same width. Evaluate the upper and lower sums for f(x) = 2 + sin(x),0 ≤ x ≤ π with n = 2, 4, and 8.

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Answer:

8x - 6y = 20-16х +7 y = 30

Step-by-step explanation:

Answer:

(-1,2)

Step-by-step explanation:

multiply top equation by 2 and add them together as follows

16x-12y=-40

-16x+7y=30

-5y=-10

y=2

now replace y with 2 in the first equation and solve for x

8x-6(2)=-20

8x-12=-20

8x=-8

x=-1

Answer:

tan(25) = 12/x

I'm sorry, don't know what a and b are, if they refer to the fraction, then 12 should be at the top and x should be at the bottom

Step-by-step explanation:

Using SOHCAHTOA, we have,

tan(25) = 12/x

Answer:

Step-by-step explanation:

Using Pythagorean theorem to find the third side

Answer:

\(\sqrt{130}\)

Step-by-step explanation:

since the triangle is a right triangle

we can use the Pythagorean theorem to find  the hypotenuse

Answer: Archie I think

Step-by-step explanation: Brainliest please?

Answer: The equation of a line perpendicular to 2x + 2y = - 10 that passes through the point (6, 2) is y = x - 4

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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This question was not written completely

Complete Question

At one point the average price of regular unleaded gasoline was ​$3.39 per gallon. Assume that the standard deviation price per gallon is ​$0.07 per gallon and use​ Chebyshev's inequality to answer the following.

​(a) What percentage of gasoline stations had prices within 3 standard deviations of the​ mean?

​(b) What percentage of gasoline stations had prices within 2.5 standard deviations of the​ mean? What are the gasoline prices that are within 2.5 standard deviations of the​ mean?

​(c) What is the minimum percentage of gasoline stations that had prices between ​$3.11 and ​$3.67​?

Answer:

a) 88.89% lies with 3 standard deviations of the mean

b) i) 84% lies within 2.5 standard deviations of the mean

ii) the gasoline prices that are within 2.5 standard deviations of the​ mean is $3.215 and $3.565

c) 93.75%

Step-by-step explanation:

Chebyshev's theorem is shown below.

1) Chebyshev's theorem states for any k > 1, at least 1-1/k² of the data lies within k standard deviations of the mean.

As stated, the value of k must be greater than 1.

2) At least 75% or 3/4 of the data for a set of numbers lies within 2 standard deviations of the mean. The number could be greater.μ - 2σ and μ + 2σ.

3) At least 88.89% or 8/9 of a data set lies within 3 standard deviations of the mean.μ - 3σ and μ + 3σ.

4) At least 93.75% of a data set lies within 4 standard deviations of the mean.μ - 4σ and μ + 4σ.

​

(a) What percentage of gasoline stations had prices within 3 standard deviations of the​ mean?

We solve using the first rule of the theorem

1) Chebyshev's theorem states for any k > 1, at least 1-1/k² of the data lies within k standard deviations of the mean.

As stated, the value of k must be greater than 1.

Hence, k = 3

1 - 1/k²

= 1 - 1/3²

= 1 - 1/9

= 9 - 1/ 9

= 8/9

Therefore, the percentage of gasoline stations had prices within 3 standard deviations of the​ mean is 88.89%

​(b) What percentage of gasoline stations had prices within 2.5 standard deviations of the​ mean?

We solve using the first rule of the theorem

1) Chebyshev's theorem states for any k > 1, at least 1-1/k² of the data lies within k standard deviations of the mean.

As stated, the value of k must be greater than 1.

Hence, k = 3

1 - 1/k²

= 1 - 1/2.5²

= 1 - 1/6.25

= 6.25 - 1/ 6.25

= 5.25/6.25

We convert to percentage

= 5.25/6.25 × 100%

= 0.84 × 100%

= 84 %

Therefore, the percentage of gasoline stations had prices within 2.5 standard deviations of the​ mean is 84%

What are the gasoline prices that are within 2.5 standard deviations of the​ mean?

We have from the question, the mean =$3.39

Standard deviation = 0.07

μ - 2.5σ

$3.39 - 2.5 × 0.07

= $3.215

μ + 2.5σ

$3.39 + 2.5 × 0.07

= $3.565

Therefore, the gasoline prices that are within 2.5 standard deviations of the​ mean is $3.215 and $3.565

​(c) What is the minimum percentage of gasoline stations that had prices between ​$3.11 and ​$3.67​?

the mean =$3.39

Standard deviation = 0.07

Applying the 2nd rule

2) At least 75% or 3/4 of the data for a set of numbers lies within 2 standard deviations of the mean. The number could be greater.μ - 2σ and μ + 2σ.

the mean =$3.39

Standard deviation = 0.07

μ - 2σ and μ + 2σ.

$3.39 - 2 × 0.07 = $3.25

$3.39 + 2× 0.07 = $3.53

Applying the third rule

3) At least 88.89% or 8/9 of a data set lies within 3 standard deviations of the mean.μ - 3σ and μ + 3σ.

$3.39 - 3 × 0.07 = $3.18

$3.39 + 3 × 0.07 = $3.6

Applying the 4th rule

4) At least 93.75% of a data set lies within 4 standard deviations of the mean.μ - 4σ and μ + 4σ.

$3.39 - 4 × 0.07 = $3.11

$3.39 + 4 × 0.07 = $3.67

Therefore, from the above calculation we can see that the minimum percentage of gasoline stations that had prices between ​$3.11 and ​$3.67​ corresponds to at least 93.75% of a data set because it lies within 4 standard deviations of the mean.

Answer:

A≈ 50.27in^2

Step-by-step explanation:

A= πr^2=

π·4^2≈ 50.26548

Answer:

7cm in diameter, 3.5 in radius

Step-by-step explanation:

The required image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

To find the image T of triangle ABC under the transformation (x,y) → (x-4, y+1), apply this transformation to each of the vertices of triangle ABC and then connect the new vertices to form the image T.

Let's assume that the coordinates of the vertices of triangle ABC are A(a,b), B(c,d), and C(e,f).

To find the image of vertex A under the transformation, we substitute x = a and y = b into the transformation equation:

(x,y) → (x-4, y+1)

(a,b) → (a-4, b+1)

Therefore, the image of vertex A is A'(a-4, b+1).

Similarly, we can find the images of vertices B and C:

B'(c-4, d+1)

C'(e-4, f+1)

Therefore, the image T of triangle ABC under the transformation (x,y) → (x-4, y+1) is formed by connecting the vertices A'(a-4, b+1), B'(c-4, d+1), and C'(e-4, f+1)

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The volumes of the prisms are :- 1) 11760 units³, 2) 7938 units³, 3) 9261 units³, 4) 22800 unit³, 5) 11781 units³, 6) 38936 units³, 7) 23125 units³, 8) 26208 units³ and 9) 14688 units³

A prism is a solid shape that is bound on all its sides by plane faces.

Given are prisms, we need to find their volumes :-

Volume = area of base × height

1) Base is a rectangle, area = length × width, height = 24

Volume = 24·14·35 = 11760 units³

2) Base is a rectangle, area = length × width, height = 21

Volume = 21·14·27 = 7938 units³

3) This is a cube, with side 21 units

Volume of cube = side³ = 9261 units³

4) This is a trapezoidal prism,

Volume = 1/2(b1+b2) × height × length = 1/2(36+24) × 38 × 20

= 22800 unit³

5) This is a triangular prism,

Volume = 1/2 × height × length × base

= 1/2 × 33 × 34 × 21 = 11781 units³

6) This is a cylinder,

Base is circular, volume = π·radius²·height

= 3.14·20·20·31 = 38936 units³

7) Base is a rectangle, area = length × width, height = 37

Volume = 25·37·25 = 23125 units³

8) Base is a rectangle, area = length × width, height = 28

Volume = 39·24·28 = 26208 units³

9) Base is a rectangle, area = length × width, height = 36

Volume = 36·24·17 = 14688 units³

Hence, the volumes of the prisms are :- 1) 11760 units³, 2) 7938 units³, 3) 9261 units³, 4) 22800 unit³, 5) 11781 units³, 6) 38936 units³, 7) 23125 units³, 8) 26208 units³ and 9) 14688 units³

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Answer:

remainder = \(\frac{1}{x-2}\)

Step-by-step explanation:

The remainder is the value of the subtraction of the last 2 lines in the procedure.

  5x - 9

- (5x - 10)

That is

5x - 5x = 0 and - 9 - (- 10) = - 9 + 10 = 1

over the divisor x- 2 , gives

remainder = \(\frac{1}{x-2}\)

Answer:

14.6 minutes

Step-by-step explanation:

Since there is a 1 ms increase per day and there are 365 days a year, the time increase per year is 1 ms/day × 365 days/year = 365 ms/year.

So, in 24 centuries, there are 24 × 1 century = 24 × 100 years = 2400 years (since  1 century = 100 years)

So, the total of the daily increase in time in 24 centuries is time increase per year × 24 centuries

= 365 ms/year × 2400 years

= 876000 ms

= 876 s

= 876 s/60s

= 14.6 minutes

7 in

\( \frac{1}{2} = \frac{x}{84} \\ 84 \times \frac{1}{12} = \frac{x}{84} \times 84 \\ 84 \times \ \frac{1}{12} = x \\ 7 = x\)