Find the solution of y=x-3

Given statement solution is :- a) The area of one semi-circle at one end is  58.09 square feet.

b) The area of the garden is 274.42 square feet.

c) The area in square metres is approximately 58.09 square feet.

The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

a) To find the area of one semi-circle at one end, we need to calculate the area of a complete circle and then divide it by 2. The formula for the area of a circle is A = πr², where A represents the area and r is the radius.

Since the diameter of the semi-circle is equal to the width of the rectangular portion, which is 8.6 feet, the radius will be half of that, which is 8.6 / 2 = 4.3 feet.

Now we can calculate the area of the semi-circle:

A = (π * 4.3²) / 2

A ≈ 58.09 square feet

b) To find the area of the garden, we need to sum the area of the rectangular portion with the areas of the two semi-circles.

Area of the rectangular portion = length * width

Area of the rectangular portion = 18.4 feet * 8.6 feet

Area of the rectangular portion ≈ 158.24 square feet

Area of the two semi-circles = 2 * (area of one semi-circle)

Area of the two semi-circles ≈ 2 * 58.09 square feet

Area of the two semi-circles ≈ 116.18 square feet

Total area of the garden = area of the rectangular portion + area of the two semi-circles

Total area of the garden ≈ 158.24 square feet + 116.18 square feet

Total area of the garden ≈ 274.42 square feet

c) To convert the area from square feet to square meters, we need to know the conversion factor. Since 1 foot is approximately 0.3048 meters, we can use this conversion factor to convert the area.

Area in square meters = Total area of the garden * (0.3048)²

Area in square meters ≈ 274.42 square feet * 0.3048²

Area in square meters ≈ 25.49 square meters

Therefore, the area of one semi-circle at one end is approximately 58.09 square feet. The area of the garden is approximately 274.42 square feet, and the area in square meters is approximately 25.49 square meters.

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5/6 is less than 2 1/2

5/6 < 15/6

0.833333333333 < 2.5

5/6 <  2 1/2  

I think i'm not to good at math

Answer:

3

Step-by-step explanation:

divide 2 1/2 by 5/6

5/2 ÷ 5/6 = 5/2 · 6/5 = 30/10 or 3

The key features of this rational function include the following:

Domain: (-∞, 1) ∪ (1, ∞)

Range: (-∞, 3) ∪ (3, ∞)

Y-intercept: -5.

X-intercept: 5/3.

Vertical asymptote: x = 1.

Horizontal asymptote​: y = -3.

In Mathematics, a rational function simply refers to a type of function  which is expressed as a fraction. This ultimately implies that, a rational function is composed of two (2) main parts and these include the following:

In order to graph any rational function, you should determine the values for which it is undefined. This ultimately implies that, a function is considered as undefined when the value of the denominator is equal to zero, which represents vertical asymptote lines.

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The distance between the trains after 30 minutes is 28.96 miles.

In 30 minutes, the train traveling at 100 miles per hour traveled 50 miles.

A train traveling at 90 miles per hour has traveled 45 miles in 30 minutes.

It is possible to think of this as a triangle with sides of 50 and 45, and an angle of 35 degrees included.

Take into account a right-angled triangle with x as one of its acute angles.

The cosine formula is then cos x = (adjacent side) / (hypotenuse), where "adjacent side" refers to the side next to angle x and "hypotenuse" refers to the longest side (the side across from the right angle) of the triangle.

By using the cosine law,

c2=a+b+2+cosC or c2=50*45*cos35=2500+2025+4500*0.82=838.82(2dp)c= sqrt 838.82=28.96 miles.

The distance between the trains after 30 minutes is 28.96 miles.

The Complete Question is distance between the trains.

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The graphing form of the function g(x) is: C) none of the answer choices.

The function g(x) = \(x^2 + 4x - 7\)is already in the standard form of a quadratic equation. In graphing form, a quadratic equation can be represented as y =\(ax^2 + bx + c,\) where a, b, and c are constants.

Comparing the given function g(x) =\(x^2 + 4x - 7\)with the standard form, we can identify the coefficients:

a = 1 (coefficient of x^2)

b = 4 (coefficient of x)

c = -7 (constant term)

Therefore, the graphing form of the function g(x) is:

C) none of the answer choices

None of the given answer choices (A, B, D, or E) accurately represents the graphing form of the function g(x) =\(x^2 + 4x - 7\). The function is already in the correct form, and there is no equivalent transformation provided in the answer choices. The given options either represent different equations or incorrect transformations of the original function.

In graphing form, the equation y = \(x^2 + 4x - 7\) represents a parabolic curve. The coefficient a determines the concavity of the curve, where a positive value (in this case, 1) indicates an upward-opening parabola.

The coefficients b and c affect the position of the vertex and the intercepts of the curve. To graph the function, one can plot points or use techniques such as completing the square or the quadratic formula to find the vertex and intercepts. Option C

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The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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A higher credit score reduces your fixed costs because you will pay lower interest rates. That is option A.

A higher credit score is one of the factors that are being considered by banks or lenders before one is being viewed as being legible to borrow money.

This is soo because a higher credit score will reduce the lending interest rates of the individual because it shows such will pay back the borrowed money as soon as possible.

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the place of the digit 2 in the number 296,743 is: hundred thousands

Having the following equation:

-4x² + 32x - 60 = 0

we want to solve it

we distribute the division for each term

We want to transform the left side to the form:

We are going to rearrange our equation so we have just the first and second term, in order to do so we substract 15 both sides:

We want to express the second term, 8x, as a multiplication by 2, 2a. Since

2 · 4 = 8, then we have that a = 4.

Then

Since a² = 4² = 16, we are going to add both sides 16, so we have this equation with the form of the beggining of this step:

We are going to factor the left side of the equation:

Now, we square root both sides:

Now, we add 4 both sides:

We have two answers now,

Answer:

D (1, 7)

Step-by-step explanation:

From equation 2

y = (-4 + y)/3

Plug this value into the first equation which will give an equation involving only y. Solve for y which should give y = 7

Plug this value of y = 7 into 3x -y = -4

=> 3x - 7 = -4

=> 3x = 3

x = 1

So solution is x =1, y = 7 which can be represented as (1, 7)

The bearing from point point A to point B is given as follows:

57º.

From the text in this problem, the bearing from point B to point A is given as follows:

237º.

To obtain the inverse bearing, that is, the bearing from point A to point B, we must subtract the bearing from point B to point A given in this problem by 180º, as follows:

237 - 180 = 57º.

Hence the bearing from point point A to point B is of 57º.

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Assuming that two straight lines, namely, "s" and "t" are parallel to each other, and another line "d" is perpendicular to "s", the Perpendicular Transversal Theorem can be used among the 4 options provided along with the question statement to prove that "d" is also perpendicular to "t"

As per the question, no information is provided on the conditions of the line or lines. Thus, we are assuming that, two lines, namely, "s" and "t" are parallel to each other, and another line "d" is perpendicular to "s"

We are required to determine the name of the property which we can use to prove that "d" is also perpendicular to "t", based on our above-mentioned assumptions.

Hence, assumed "s" and "t" are parallel to each other, and if another line "d" is parallel to "s", then as per the Perpendicular Transversal Theorem, "d" has to be perpendicular to "t" also.

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Answer:

138

Step-by-step explanation:

Do the inverse. 69 2/3 multiplied by 3 is 138.

Answer:

D

Step-by-step explanation:

Already did it.

Using the z-score, mean and sample mean, the standard deviation of the sample is 7.57

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

The formula is given as;

z = x - μ / σ

Substituting the values into the formula;

-2.13 = 19.3 - 29 / σ

Cross multiply both sides;

-2.13σ = 19.3 - 29

-2.13σ = -9.7

Divide both sides by the coefficient;

-2.13σ / -2.13 = -9.7 / -2.13

σ = 7.57

The standard deviation is 7.57

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1) For this inequality, let's do it like this

3(x + 6) - 2(x + 2) > 10

3x +18 -2x -4 > 10 Distributing the factors

3x -2x +18-4>10

x +14 >10

The amount of money is 4000 was invested at 3%.

Let x be the amount of money invested at 3%.

Then, the amount of money invested at 5% is 6000 - x.

The interest earned on the amount invested at 3% is 0.03x.

The interest earned on the amount invested at 5% is 0.05(6000 - x) = 300 - 0.05x.

The total interest earned is given as $220.

So, we can write the equation:

0.03x + (300 - 0.05x) = 220

Simplifying and solving for x, we get:

0.03x + 300 - 0.05x = 220

-0.02x + 300 = 220

-0.02x = -80

x = 4000

Therefore, $4000 was invested at 3%.

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The area of the sector that is the smaller region of the circle is evaluated to be equal to 39.1 in² to the nearest tenth.

The area of a sector is calculated by multiplying the fraction of the angle for the sector divided by 360° and πr², where r is the radius.

the angle of the sector = 70°

the radius = 8 ft

hence the area of the sector is calculated as follows:

(70°/360°) × 22/7 × 8 in × 8 in

we simplify by division and multiplication

1/36 × 22 × 64 in²

352 in²/9

39.1111 in²

Therefore, the area of the sector that is the smaller region of the circle is evaluated to be equal to 39.1 in² to the nearest tenth.

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Answer:

13.8

Step-by-step explanation:

Area of square = πr²

=22/7 × 4²

=50.2

Area of square = l²

=8²

= 64

Area of shape is 64 - 50.2 = 13.8

Answer:

The answer is 13.8

Step-by-step explanation:

Yes

The equation of the line in the standard form exists 3x - y = 2.

The equation of a line is a representation of a line on an x-y plane that illustrates the relationship between x and y for each point on the specific line. When x and y are variables and a, b, and c are constants, a line has the standard form ax + by = c.

Y = mx + b is the slope-intercept form of a line, where x and y are variables, m is the line's slope, and b is the line's y-intercept.

The one-point formula reads: y - y₁ = m(x - x₁). to describe the equation of a line traveling through the point (x1, y1) and having a slope of m.

We are asked to graph a line with a slope = -3, passing through the point (1, -5).

We use the one-point formula to determine the equation of this line, with slope m = -3, (x₁, y₁) = (1, -5).

Substituting these values in the equation y - y₁ = m(x - x₁), we get

Let the equation be y - -5 = -3(x - 1)

simplifying the equation, we get

y = -3x + 3 - 5

y = -3x - 2

3x - y = 2

The equation of the line in the slope-intercept form exists y = -3x - 2

The equation of the line in the standard form exists 3x - y = 2.

We draw the locations (1,-5) (because it is obvious that the line goes through this location) and (0, 2) (since the y-intercept is at 2 and the line passes through the point (0, 2)) in order to graph this line. We draw a line connecting these places, then we expand it on both sides to create the necessary line.

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(4+7i)(2-i)

multiply it out

8-4i +14i -7i squared

i squared is the same as -1

8-4i+14i-7(-1)

8+7-4i+14i

15+10i

divide by common factor which is 5 in this case

3+2i

Answer:

100/12.4= about 8.06 seconds

Step-by-step explanation:

Answer:

No real roots

Step-by-step explanation:

Given

\(6x^2 + 6x + 3 = 0\)

Required

The number of solution

The discriminant (d) for \(ax^2 + bx + c = 0\) is:

\(d = b^2 - 4ac\)

So, we have:

\(d = 6^2 - 4*6*3\)

\(d = 36 - 72\)

\(d = -36\)

Since \(d <0\), then the equation has no real roots

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Answer:

2520

Step-by-step explanation:

There are 7 letters in MCHNLRN and they can be arranged into 7 ways:

7! = 5040 ways in total

However, the letter 'N' is repeated so we have to divide it by 2.

5040 ÷ 2 = 2520 ways

Answer:

2,520 ways

Step-by-step explanation:

MCHNLRN has 7 letters with one repetition.

therefore, =7!/2!

=2,520 ways

Answer:

for my answer i got 512 but it is not one of the answer choices

Step-by-step explanation:

First, express the mixed number as a simple fraction:

Back with the equation:

Subtract 3/8 from both sides of the equation:

The interest for Part 1 is approximately $385.10.

The interest for Part 2 is approximately $709.31.

The formula is as follows:

Interest is calculated as follows: Principal * Rate * Time

Where

Part 1:

$132,000 is the principal.

(Decimal) Rate = 12% = 0.12

Time = 8 days/365 days.

How much interest is there in Part 1?

Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10

Therefore, the interest for Part 1 is approximately $385.10.

Part 2:

$106,750 as the principal

(Decimal) Rate = 12% = 0.12

Time = 20 days / 365 days.

How much interest will there be in Part 2

Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31

Therefore, the interest for Part 2 is approximately $709.31.

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