What is the distance between the two points located at (3, 8) and (10,8)?

PLS HELP!!!

The graph depicts a sine function. To write the equation of the sine function, we need to find the values of amplitude, period, and phase shift. Since the sine function passes through the point (10, -8), the amplitude is 8 units. First, we need to find the period, T of the function.

The period of a sine function is given by `

\(T = (2π)/b`\)

The graph shows that the sine function completes one cycle from point C to point I, which is a distance of 7 units on the x-axis.

Therefore, we can write.

= 7⇒ b

=\((2π)/T\\= (2π)/7.\)

Next, we need to find the phase shift. The sine function passes through the origin (0, 0) which means there is no horizontal shift. Therefore, the phase shift is zero.

= a sin bx

We know that.

a = 8

, b = (2π)/7

and the phase shift,

c = 0.

Substituting these values, we get:

\(y = 8 sin ((2π/7) x)\)

The equation of the graph is

\(y = 8 sin ((2π/7) x).\)

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Answer:

7.8*10^3

Step-by-step explanation:

7.800

Using the trapezium area formula, we can see that the expression you supplied may be reduced to 97 cm².

Area is a mathematical term that refers to the size of a two-dimensional surface or region. It is typically measured in square units, such as square meters, square feet, or square inches, depending on the system of measurement used. The area of a shape is determined by multiplying its length and width, or by using a specific formula depending on the shape of the object. Knowing the area of an object can be useful in many fields, including architecture, engineering, and mathematics.

Here,

a. The shapes that are present in the diagram are: rectangle and trapezium.

b. divide the shaded part using horizontal lines and vertical lines.

c. area of shaded part:

=4*2+(4+2)*3/2+(2+6)*5/2+(2+5)*2/2+(4+6)*2/2+6*3+(4+6)*5/2

=97 cm²

Using the formula for the area of a trapezium, we can see that the expression you provided can be simplified to 97 cm².

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y - y1 = m(x - x1)

y - 4 = -1(x - 5)

y - 4 = -x + 5

y = -x + 9

(0, 9) is the y-intercept

Basic points on the graph:

(1, 8)

(-1, 10)

(2, 7)

(3, 6)

Answer:

ermmm...yeah

Step-by-step explanation:

Since you bring 12 items for 4 dinners, you have a total of 12 items to choose from.

For the first dinner, you need to choose 3 items out of the 12. You can do this in:

12 choose 3 = (12!)/(3!*(12-3)!) = 220 ways

For the second dinner, you have used up 3 items in the first dinner, so you have 9 items left to choose from. You need to choose 3 items out of the 9. You can do this in:

9 choose 3 = (9!)/(3!*(9-3)!) = 84 ways

For the third dinner, you have already used up 6 items, so you have 6 items left to choose from. You need to choose 3 items out of the 6. You can do this in:

6 choose 3 = (6!)/(3!*(6-3)!) = 20 ways

For the fourth dinner, you have already used up 9 items, so you have only 3 items left to choose from. You need to choose all 3 items. You can do this in:

3 choose 3 = (3!)/(3!*(3-3)!) = 1 way

Therefore, you can choose items for the first dinner in 220 ways, for the second dinner in 84 ways, for the third dinner in 20 ways, and for the fourth dinner in 1 way.

The car is worth $9,832.50 after 3 years of depreciation.

Percentage is a way of expressing a number as a fraction of 100. It is denoted by the symbol "%". For example, 25% means "25 out of 100" or "25/100". Percentages are used to express the relationship between a part and a whole. For instance, if a company has sold 500 out of 1000 products, we can say that the company has sold 50% of its products. Similarly, if a student scores 80 out of 100 marks in an exam, we can say that the student has scored 80% in the exam.

To find the value of the car after 3 years of depreciation, we need to find the amount by which it depreciates each year and subtract it from the previous year's value.

First year depreciation: 8% of $12,500 = 0.08 x 12,500 = $1,000

Value of car after first year: $12,500 - $1,000 = $11,500

Second year depreciation: 10% of $11,500 = 0.10 x 11,500 = $1,150

Value of car after second year: $11,500 - $1,150 = $10,35

Third year depreciation: 5% of $10,350 = 0.05 x 10,350 = $517.50

Value of car after third year: $10,350 - $517.50 = $9,832.50

Therefore, the car is worth $9,832.50 after 3 years of depreciation.

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Answer:

1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = x ← is in slope- intercept form

with slope m = 1

Answer:

1

Step-by-step explanation:

Answer:

$0.40 per minute

Step-by-step explanation:

You divide 6.40 by 16 to get 0.40.

To fact check this, I multiplied 0.40 by 16 and got 6.40.

Answer:

1111111111111111111111111111111111111111111111111111111111111111111111111111111111111

Step-by-step explanation:

The book that weighs 3/4 pounds is greater than 1/2 pounds.

To compare the weights of the two books with 1/2 pound, we need to convert 1/2 pound into a fraction with a common denominator as the given weights. The common denominator of 8 and 4 is 8. So, we can convert 1/2 pound to 4/8 pound.

Now we can compare the weights of the two books with 4/8 pounds. The weight of the first book is 3/8 pounds, which is less than 4/8 pounds. The weight of the second book is 3/4 pounds, which is greater than 4/8 pounds.

Therefore, the book that weighs 3/4 pounds is greater than 1/2 pound.

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If there are 50 marbles in a bag and 35 of them are brown, and Otti takes one marble and put it back afterwards and does it 300 times, then the estimated number of brown marbles Otti takes is around 105.

The expected number of brown marbles Otti takes can be estimated by multiplying the probability of drawing a brown marble (35/50) by the number of times he draws (300).

(35/50) × 300 = 105

This gives an estimated result of 105 brown marbles. It's important to note that this is just an estimate and the actual number could be different. The variation in the actual number of brown marbles Otti takes can be attributed to the randomness of the process.

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To find the exact solutions for the equation cos(x) = 1/2 in the interval [0, 4π], we can use the inverse cosine function (also known as arccosine).

The equation cos(x) = 1/2 can be rewritten as x = arccos(1/2).

The inverse cosine function returns the angle whose cosine is the given value. In this case, we want to find angles in the interval [0, 4π] that have a cosine of 1/2.

The cosine function has a value of 1/2 at two angles: π/3 and 5π/3. These angles are commonly known as the reference angles for cosine.

Since we are looking for solutions in the interval [0, 4π], we can add multiples of 2π to these reference angles to find all possible solutions:

x₁ = π/3 + 2πn, where n is an integer

x₂ = 5π/3 + 2πn, where n is an integer

Plugging in values for n, we can find all the exact solutions within the given interval:

For n = 0:

x₁ = π/3

x₂ = 5π/3

For n = 1:

x₁ = π/3 + 2π = 7π/3

x₂ = 5π/3 + 2π = 11π/3

So, the exact solutions for the equation cos(x) = 1/2 in the interval [0, 4π] are:

x = π/3, 7π/3, 5π/3, 11π/3.

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The correct statement is: the volume of the cylinder is 8 cubic inches more than that of the cone.

The volume of cone (V) = 1/3 * πr²h

Volume of cylinder (V) = πr²h

Where, r is the radius of their bases.

The base area formula for the cone = πr²

Calculate the area of the base of the cone that has a radius (r) of 2.5 in:

Area of the base of the cone = π(2.5)² ≈ 19.6

The volume of the cone (V) = 1/3 * πr²h = 1/3 * π * 2.5² * 6.5

≈ 42.5 cubic inches

Volume of cylinder (V) = πr²h = π * 2² * 4

≈ 50.3 cubic inches

The difference in volume = 50.3  - 42.5

= 7.8 ≈ 8 cubic inches

Therefore, the only statement that is true is: the volume of the cylinder is 8 cubic inches more than that of the cone.

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For the linear equations provided by the coordinates in the table;

The first equation of this system is y = -2x.

The second equation of this system is y = x - 3.

The solution to the system is (1, -2).

We have four points (-5,10), (-1,2), (0,0), and (11,-22) for first equation, and four points (-8,-11), (-2,-5), (1,-2), and (7,4) the second equation.

The slope (m) is given by the formula (y2 - y1) / (x2 - x1).

For the first line, we can use the points (-5,10) and (-1,2)

m1 = (2 - 10) / (-1 - (-5)) = -8/4 = -2.

the first equation is y = -2x

the second line, we can use the points (-8,-11) and (-2,-5)

m2 = (-5 - -11) / (-2 - -8) = 6/6 = 1.

the second line has a slope of 1,

the equation should have the form y = x + c.

To find c, we can use one of the points, for instance (-2,-5):

-5 = -2 + c => c = -5 + 2 = -3.

So, the second equation is y = x - 3.

the solution to the system, we need to find where the two lines intersect.

y = -2x

y = x - 3

Setting both equation equally

-2x = x - 3

=> 3x = 3

=> x = 1.

Substituting x = 1 into the first equation

y = -2(1) = -2.

the solution to the system of linear equation would be (1, -2).

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The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b)

This is incomplete question

Complete question is this:

With a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?

Choose the correct option:

Now, According to the question:

Hence, The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b).

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Answer:

62.92

Step-by-step explanation:

40% of 250 is 250 × 40/100 = 25 × 4 = 10

Answer:

  7776π in³

Step-by-step explanation:

You are given the area of the sphere, so you can use the area formula to find its radius. Then the volume formula can be used to find the volume.

__

The area of the sphere is given by the formula ...

  A = 4πr²

Solving for r, we find ...

  A/(4π) = r²

  √(A/(4π)) = r = √(1296π/(4π)) = √324 = 18

The radius of the sphere is 18 inches.

__

The volume formula is ...

  V = 4/3πr³

Using the found radius, we find the volume to be ...

  V = 4/3π(18 in)³ = 4/3(5832)π in³

  V = 7776π in³

If a data analyst uses the bias() function to compare the actual outcome with the predicted outcome to determine if the model is biased and gets a score of 0.8, this simply means that: 2. The model is biased.

In Mathematics, a sampling bias can be defined as a type of bias in which members of an intended population are selected in such a way that some members have a higher or lower sampling probability (chances) than the other members.

This ultimately implies that, a sampling bias would occur when members of an intended population are selected incorrectly, which eventually results in a sample that is not representative of the entire population.

In conclusion, a bias() function with an outcome score of 0.8 in R programming indicates that a model is biased because the closer a score is to zero, the lower are its chances of being biased.

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Complete Question:

A data analyst uses the bias() function to compare the actual outcome with the predicted outcome to determine if the model is biased. They get a score of 0.8. What does this mean?

1. Bias cannot be determined

2. The model is biased

3. Bias can be determined

4. The model is not biased

The expression which can be rewritten as (x+7)(x - 1) as required in the task content is; Choice C; (x+3)²-16.

It follows from the task content that the expression which can be rewritten as ( x + 7 ) ( x - 1 ) be determined.

By polynomial expansion, the expression (x+7)(x - 1) can be written as;

x² + 7x - x - 7

= x² + 6x - 7.

By observation, it follows that the expression which seems to have a degree of 2 is; (x + 3)² - 16.

On this note, by checking; we have;

x² + 6x + 9 - 16

= x² + 6x - 7

Ultimately, the expression which could be rewritten as (x+7)(x - 1) and is to be identified is; Choice C; (x + 3)² - 16.

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Answer:

$325

Step-by-step explanation:

Let  the dryer be x and the washer be y

x+y= 711---------1

y= x+61-----------2

put y= x+61 in 1

x+x+61= 711

2x+61= 711

2x= 711-61

2x=650

x= 650/2

x=325

Hence the dryer cost $325

Answer:

Well, if you keep getting 41 points a yeah, adding 41 by the remaining years into 2100, you'll have 3,239 points in 2100 if you're still alive

Step-by-step explanation:

Answer:

d)142º

Step-by-step explanation:

\(\widehat{AB}=2\times71\º=142\º\)

Answer:

b

Step-by-step explanation:

Answer:

y = - 1

Step-by-step explanation:

Given

2y - 3(4y - 3) = 9y + 28 ← distribute and simplify left side

2y - 12y + 9 = 9y + 28

- 10y + 9 = 9y + 28 ( subtract 9y from both sides )

- 19y + 9 = 28 ( subtract 9 from both sides )

- 19y = 19 ( divide both sides by - 19 )

y = - 1

Answer:

arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30

geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)

Step-by-step explanation:

Arithmetic sequence:

-6, 18, ...

18 - (-6) = 24

18 + 24 = 42

42 + 24 = 66

66 + 24 = 90

90 + 24 = 114

y = -6 + 24(x - 1)

y = -6 + 24x - 24

y = 24x - 30

Geometric sequence:

-6, 18, ...

18/(-6) = -3

18 * (-3) = -54

-54 * (-3) = 162

162 * (-3) = -486

-486 * (-3) = 1458

1458 * (-3) = -4374

y = -6(-3)^(x - 1)

The next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

Given that, the first 2 terms of the sequence -6, 18,....

Here, a=-6 and common difference = 18-(-6) =24

So, the next 5 terms in the arithmetic sequence are

18+24=42, 42+24=66, 66+24=90, 90+24=114, 114+24=138

42, 66, 90, 114, 138

The function is aₙ= -6+(n-1)24

= -6+24n-24

= 24n-30

The next 5 terms in the geometric sequence are

Here, a=-6 and common ratio = 18/(-6) =-3

Now, 18×(-3)=-54, -54×(-3)=162, 162×(-3)=-486, -486×(-3)=1458, 1458×(-3)=-4374

The function is \(a_n=-6(-3)^{n-1}\)

Therefore, the next 5 terms in the arithmetic sequence are 42, 66, 90, 114, 138.

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Answer:

(x,y) = (2,3)

Step-by-step explanation:

Solving steps:

2y = 6 (Divide both sides)

y = 3 (Substitute the value of y)

2x - 3 = 1 (Solve the equation)

x = 2

(x,y) = (2,3)

Hope this helped!!!