What is the equation in standards form of the line y=1/9x+5

Marcia states that some numbers have an odd number of factors so Marcia is correct

Factors

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers  are multiplying are factors of the product because they are divisible by the product. There are two methods of finding factors multiplication and division.

Odd Number and Even Number

Odd numbers are those numbers that cannot be divided into two equal parts, whereas even numbers are those numbers that can be divided into two equal parts. Examples of odd numbers are 3, 5, 7, 9, 11, 13, 15 Examples of even numbers are 2, 4, 6, 8, 10, 12, 14

Rob states that all numbers have an even number of factors.

Marcia states that some numbers have an odd number of factors.

Consider the number 36. It is given that,

1 × 36 = 36

2 × 18 = 36

3 × 12 = 36

4 × 9 = 36

6 × 6 = 36

The repeated factor is counted only once. So, the factors of 36 are given by 1, 2, 3, 4, 6, 9, 12, 18, and 36.

This tells us that 36 has 9 factors and has an odd number of factor. Then Marcia is correct

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The geometric mean return on the investment over the five-year period is approximately 1.9591%.

To calculate the geometric mean return on the investment over the five-year period, we need to find the average return compounded annually.

The formula for the geometric mean return is:

Geometric Mean Return = \([(1 + r_1) * (1 + r_2) * (1 + r_3) * (1 + r_4) * (1 + r_5)]^{1/n} - 1\)

Where r₁, r₂, r₃, r₄, r₅ are the returns for each year, and n is the number of years.

Using the given returns:

r₁ = 10% = 0.10

r₂ = 3% = 0.03

r₃ = -5% = -0.05

r₄ = 1% = 0.01

r₅ = 2% = 0.02

n = 5 (since we have data for five years)

Plugging in the values, we have:

Geometric Mean Return = \([(1 + 0.10) * (1 + 0.03) * (1 - 0.05) * (1 + 0.01) * (1 + 0.02)]^{1/5} - 1\)

\([(1.10) * (1.03) * (0.95) * (1.01) * (1.02)]^{1/5} - 1\)

\([1.192569]^{1/5} - 1\)

\((1.192569)^{0.2} - 1\)

1.019591 - 1 = 0.019591

Therefore, the geometric mean return on the investment over the five-year period is approximately 0.019591, or 1.9591%.

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Answer:

17.6 miles.

Step-by-step explanation:

Use Pythagoreans Theorem to find c.

a^2+b^2=c^2

49 + 9 = c^2

58 =c^2

√58=c

7.6=c

Now add all of your sides together to find the perimeter.

7 + 3 + 7.6 = 17.6 miles.

The perimeter of the triangle is 17.6 units.

The Pythagorean theorem says that the sum of the square of the perpendicular and the base will be equal to the square of the hypotenuse of the right-angle triangle.

Using the Pythagorean theorem, we can find the length of the hypotenuse c:

c² = a² + b²

c² = 7² + 3²

c² = 58

c = √58 ≈ 7.6 miles

The perimeter is the sum of the three sides:

Perimeter = a + b + c

Perimeter = 7 + 3 + 7.6

Perimeter ≈ 17.6 miles

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Answer:

The answer would be a because I checked my work and it shows to be A

i hope this work for you

and sory if im wrang

Answer:

look at the pictures

Step-by-step explanation:

Answer:

Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.

Step-by-step explanation:

Answer:

Part A: Word problem

Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.

Part B: Solution

To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.

Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:

3x + 15 - 15 = 84 - 15

3x = 69

Step 2: Divide both sides of the equation by 3 to isolate x:

3x/3 = 69/3

x = 23

So, the solution to the equation is x = 23.

Part C: Explanation

In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.

Step-by-step explanation:

Answer:Its -3.5

Step-by-step explanation:

Answer:

A = 216in^2

hope it's helpful ❤❤❤❤❤

THANK YOU.

Answer:

t = 30m+50

Step-by-step explanation:

Answer:

T = 30m + 50

Step-by-step explanation:

Answer:

Three ways I experience these benefits is 1, being able to vote in free elections, 2, being able to receive an education, and 3, being able to volunteer for things.

Step-by-step explanation:

Answer:

coordinates of point g is ( -6, 14)

Step-by-step explanation:

The coordinates of the point which divides the point (x1,y1) and (x2,y2) in m:n ratio is given by (nx1+mx2)/(m+n), (ny1+my2)/(m+n).

___________________________________________

given point

F(-1, -1) to H(-8, 20)

ratio : 5:2

the coordinates of point g is

(2*-1+5*-8)/(5+2), (2*-1+5*20)/(5+2)

=> (-2 -40/7 , -2+100/7)

=> (-42/7, 98/7)

=>( -6, 14)

Thus ,  coordinates of point g is ( -6, 14)

Answer:ambot waya ako ka balo ina

The values of x and y that satisfy the given equation are x = 2 and y = 1.

One or many equations having the same number of unknowns that can be solved simultaneously are called simultaneous equations. And the simultaneous equation is the system of equations.

Since a and b span R², any vector in R² can be expressed as a linear combination of a and b.

Let's call the coefficients of this linear combination c₁ and c₂ so that any vector v in R² can be expressed as:

v = c₁a + c₂b

Now let's use this fact to solve the given equation:

(2-x)a + b = ya + (x-3)b

We can rearrange this equation to get all the terms with an on one side and all the terms with b on the other side:

(2-x)a - ya = (3-x)b

Now we can write both sides of the equation as linear combinations of a and b:

(2-x)a - ya = 2a - xa - ya = (2-x)a - (x-2)a - ya = (2-x - x + 2)a - ya = (4 - 2x)a - ya

(3-x)b = 3b - xb = 3b - xb + 3b - 3b = (6 - x)b - 3b = (6 - x - 3)b = (3 - x)b

So now we have:

(4 - 2x)a - ya = (3 - x)b

Since a and b span R², we know that any vector in R² can be expressed as a linear combination of a and b. Therefore, we can write:

(4 - 2x)a - ya = c₁a + c₂b

(3 - x)b = c₁a + c₂b

Now we can set the coefficients of a and b equal to each other and solve for x and y:

4 - 2x = c₁

-y = c₂

3 - x = c₂

Substituting the third equation into the second equation, we get:

-y = 3 - x

Solving for x and y, we get

x = 2

y = 1

Therefore, the values are x = 2 and y = 1.

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Answer:

1 5/8 miles

Step-by-step explanation:

Min:

2+3=5, 3/8+1/8=4/8

5 4/8 miles

Jessica:

1+2=3, 5/8+2/8=7/8

3 7/8 miles

5 4/8- 3 7/8= 1 5/8 miles

In summary, when the two new children (ages four and twelve) are added to the existing group, the mean age increases from 8 to 8, and the standard deviation changes from its original value to approximately 3.74.

To determine the effect of adding two children (ages four and twelve) to the existing group of five children (ages five, six, eight, nine, and twelve) on the mean and standard deviation of ages, we need to calculate the new values.

Let's calculate the mean first:

Calculate the sum of the ages of the initial five children:

5 + 6 + 8 + 9 + 12 = 40

Add the ages of the two new children:

40 + 4 + 12 = 56

Calculate the new mean by dividing the sum by the total number of children (5 initial + 2 new):

56 / 7 = 8

Therefore, the new mean age is 8.

Now let's calculate the standard deviation:

Calculate the squared difference between each age and the mean for the initial five children:

\((5 - 8)^2 + (6 - 8)^2 + (8 - 8)^2 + (9 - 8)^2 + (12 - 8)^2 = 54\)

Calculate the squared difference between each new age and the new mean:

\((4 - 8)^2 + (12 - 8)^2 = 80\)

Calculate the sum of the squared differences for the initial five children and the new children:

54 + 80 = 134

Divide the sum of squared differences by the total number of children (5 initial + 2 new) and take the square root:

√(134 / 7) ≈ 3.74

Therefore, the new standard deviation is approximately 3.74.

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Answer:

x^2 -1x-20 +((-54)/(x-3))

Step-by-step explanation:

Let's do long division. I've uploaded the file for the work.

The value of the integral is:
∫[(36 – x2)^(5/2)]dx = -9/2 [(1 - x^2/36)^(5/2)] + C.

To evaluate the integral [(36 – x2)5/2dx, we can use the substitution method. Let u = 36 - x^2, then du/dx = -2x dx, and dx = -du/(2x).
Substituting, we have:
∫[(36 – x^2)^(5/2)]dx = ∫u^(5/2) (-du/(2x))
= (-1/2) ∫u^(5/2)/x du
Now, we need to express x in terms of u. From the original substitution, we have:
u = 36 - x^2
x^2 = 36 - u
x = ±(36 - u)^(1/2)
We will use the positive root for simplicity. Substituting, we have:
x = (36 - u)^(1/2)
Now, we can express x in terms of u and substitute back into the integral:
∫[(36 – x^2)^(5/2)]dx = (-1/2) ∫u^(5/2)/[(36 - u)^(1/2)] du
To evaluate this integral, we can use a trigonometric substitution. Let u = 36 sin^2 θ, then du/dθ = 72 sin θ cos θ dθ, and du = 36(2 sin θ cos θ) dθ = 18 sin 2θ dθ.
Substituting, we have:
∫u^(5/2)/[(36 - u)^(1/2)] du = ∫[(36 sin^2 θ)^(5/2)]/[(36 cos^2 θ)^(1/2)] (18 sin 2θ) dθ
= 18 ∫[sin^5 θ]/cos θ dθ
We can use the substitution v = cos θ, then dv/dθ = -sin θ, and sin θ = ±(1 - v^2)^(1/2). We will use the positive root for simplicity. Substituting, we have:
sin^5 θ = (1 - v^2)^(5/2)
dθ = -dv/(1 - v^2)^(1/2)
Substituting back into the integral, we have:
∫[sin^5 θ]/cos θ dθ = -∫(1 - v^2)^(3/2) dv
= (1/2) (1 - v^2)^(5/2) + C
Substituting back u = 36 sin^2 θ and v = cos θ, we have:
∫[(36 – x^2)^(5/2)]dx = (-1/2) 18 [(1/2) (1 - cos^2 θ)^(5/2)] + C
= -9/2 [(1 - cos^2 θ)^(5/2)] + C
= -9/2 [(1 - (1 - u/36))^(5/2)] + C
= -9/2 [(u/36)^(5/2)] + C
Finally, substituting u = 36 - x^2, we have:
∫[(36 – x^2)^(5/2)]dx = -9/2 [(36 - x^2)/36]^(5/2) + C
= -9/2 [(1 - x^2/36)^(5/2)] + C

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answer:

the answer is going to be ½

Answer:

a

Step-by-step explanation:

Answer:

it is a scalar quantity because it involves magnitude only.

Step-by-step explanation:

Answer:

x ∈ { ( 6 + \(\sqrt{23}\) * i) , { ( 6 - \(\sqrt{23}\) * i) }

Step-by-step explanation:

Given: \(x^2-12x+59=0\)

First, collect like terms. \(x^2\) and -12x, 59 and 0:

\(x^2-12x=0-59\)

+59 is changed to -59 when transferred. Then subtract:

( x - 12 ) x = -59

Finally divide both sides by -59:

x ∈ { ( 6 + \(\sqrt{23}\) * i) , { ( 6 - \(\sqrt{23}\) * i) }

Answer:

(2, 1)

Step-by-step explanation:

8x - 9 = 7

8x = 16

x = 2

y = 2(2) - 3

y = 4 - 3

y = 1

Answer:

37

Step-by-step explanation:

i think, quick math if you doubt me wait for another answer

The value of x is √12.73 when Barrett is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

Definition of Pythagoras Theorem:

The square of the long side of a right-angled triangle is equal to the sum of the squares of the other two sides.

It is stated in this formula:

\((side)^2+(side)^2=(hypotenuse)^2\)

Given that,

Barrett is focusing on a rectangle-shaped structure on the school's property. He is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

We must determine what x stands for.

We know that,

The height of building is 32x.

The width is 46x

The diagonal is 200 feet

So we form a triangle

From the Pythagoras theorem,

Hyp² = Side²+ Side²

200² = (32x)² + (46x)²

40000 = 1024x² + 2116x²

3140x² = 40000

x² = 12.73

Square root on both sides

x = √12.73

Therefore, The value of x is √12.73 when Barrett is aware that the structure measures 32x feet in height, 46x feet in breadth, and 200 feet diagonally.

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Answer:

70g+74

Step-by-step explanation:

Answer:

= 70g + 74

Step-by-step explanation:

10 (7 + 7g) + 4

= 10(7g + 7) + 4

= 70 + 70g + 4

= 70g + 74

Answer:

hi, it's 16 because:

\(ab = bc \\ ab = 8 \\ ac = 2 \times 8 = 16 \\ ac = 16\)

Answer:

16

Step-by-step explanation:

Theorem: In a circle, if a radius is perpendicular to a chord, then the radius is the perpendicular bisector of the chord.

In this case, the radius containing points O and B is perpendicular to chord AC, so the radius bisects chord AC making AB = BC.

Also,

AB + BC = AC

By substitution, we have

AB + AB = AC

AC = 2AB

AC = 2(8)

AC = 16

Answer:

107 people

Step-by-step explanation:

Their budget is $3,500 and they have to spend $70 for the clean up fee:

$3,500 - $70 = $3430

If it is $32 per person, then find out how many $32 fit into their remaining budget of $3430

$3430 ÷ $32 = 107.1875

You can't have part of a person, so the greatest number of people they can invite is 107

Answer:

34 + x =180

x=180-34

x=146