Your hair is 6 inches long and grows at a rate of 144 millimeters per year. a. Convert 144 millimeters per year to inches per year. Round your answer to the nearest tenth. b. Write an equation that represents the length y (in inches) of your hair after x years. c. How long is your hair after 4 years?

Answer:

The standard form equation is B.

The centre of the circle is B

The radius is B.

Step-by-step explanation:

Firstly, the equation can all be divided by 7:

(7x² + 7y²− 28x + 42y − 35)  ÷ 7 =

x² + y² - 4x + 6y - 5 = 0

x² - 4x + y² + 6y - 5 = 0

Now add [tex]\frac{1}{2}* b[/tex]

0.5 * 4 = 2, 2² = 4 so 4

0.5 * 6 = 3. 3² = 9 so 9

(x² - 4x + 4) + (y² + 6y + 9) - 4 - 9 - 5 = 0

As the standard form of a circle is (x - a)² + (y - b)²= r² , we need to change this to this. Simply find a number that multiplies to 4 and adds to -4 ( -2 ) and a number that multitplies to 9 and adds to 6 (3):

(x - 2)² + (y + 3)²

Also, we need to subtract the square of the number inside the brackets, as this is completing the square:

-2 * -2 = 4

3 * 3 = 9

So we need to subtract 4 and 9, and 5 as that was in the original:

(x - 2)² + (y + 3)² - 4 - 9 - 5 = 0

To find the radius, we need to move this numbers over to the other side making them positives:

(x - 2)² + (y + 3)² = 4 + 9 + 5

(x - 2)² + (y + 3)² = 18

The centre of the circle in (x - a)² + (y - b)² is [tex]a[/tex] and [tex]b[/tex]

The radius is the square root of whatever (x - a)² + (y - b)² equals, so the square root of 18 is the radius:

√18 = √9√2

= 3√2

= [tex]3 * (2x^{\frac{1}{2} } )[/tex]

The equation that the scarecrow uttered can be expressed mathematically as:

sqrt (C) = sqrt (A) + sqrt (B)

where A, B, and C are the sides of the triangle

Since the triangle is an isosceles, therefore A = B and

sqrt (C) = 2 sqrt (A)

given that the measure of the leg is 3, A = 3, C is:

sqrt C = 2 sqrt (3)

sqrt C = 3.464

C = 12

In a any triangle, the sum of two sides must be greater than the third side, since in this case C > A + B therefore the Scarecrow is not correct because the correct relationship should be A + B > C.

To find the correct hypotenuse, we start with the Pythagorean equation:

C^2 = A^2 + B^2

So what the scarecrow mistakenly did was to ignore the “+” symbol during the square root. Taking the square root on both sides, the correct equation is:

C = sqrt (A^2 + B^2)

Calculate for C, since A = B = 3:

C = sqrt (3^2 + 3^2)

C = 4.24

So now A + B > C and this is now correct.

A quotient is a quantity produced by the division of two numbers. Hence, the quotient number is [tex]2[/tex].

What is quotient ?

A quotient is a quantity produced by the division of two numbers.

Let us assume that the quotient is [tex]x[/tex]

So, by using the given information it is of the form

[tex]\frac{1}{4}=\frac{x}{8}\\x=\frac{8}{4}\\x=2[/tex]

Hence, the quotient number is [tex]2[/tex].

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Answer:

Option A. 14.21%

Step-by-step explanation:

The probability that Chloe is awarded the employee of the month in January  

= 29%  P (J) = 0.29

The probability that Chloe is awarded the employee of the month in February = 49% P (F) = 0.49

As we know that both events are independent so

P ( J & F ) = P (J) × P (F)

P = 0.29 × 0.49 = 0.1421 or 14.21%

Therefore the probability that she is awarded a blue ribbon in both January and February 14.21%

The answer would be 60 km/h. :D

The measure of base angle is [tex]$$\boxed{{{70}^ \circ }} if the vertex angle is {40^ \circ }$$[/tex] .

Further explanation:

Given:

Vertex angle of the isosceles triangle is [tex]{40^ \circ }[/tex] .

Explanation:

The triangle three sided close Figure.

There are three type of triangles.

1. Equilateral triangle

2. Isosceles triangle

3. Scalene triangle

Equilateral triangle has all sides equal and all the angles are equal.

Isosceles triangle has 2 sides equal to each other and the two base angles are equal to each other.

Scalene triangle has all sides unequal and the angles are also not equal to each other.

The sum of all the angles of the triangle is [tex]{180^ \circ }[/tex].

Consider the base angle as y.

The value of y can be obtained as follows,

[tex]\begin{aligned}y+y+40&=180\\2y+40&=180\\2y&=180-40\\2y&=140\\y&=\frac{{140}}{2}\\y&={70^ \circ }\\\end{aligned}[/tex]

The measure of base angle is [tex]$$\boxed{{{70}^ \circ}} if the vertex angle is {40^ \circ}$$[/tex].

Learn more:

1. Learn more about inverse of the function https://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: vertex angle, isosceles triangle, base angle, perpendicular, altitudes, point, triangle, circumcenter, bisectors, perpendicular bisectors, angles, angle bisectors, median, intersection, incenter, right angle triangle, equilateral triangle, obtuse, acute.

The required expression is:

0.035 × [tex]10^2[/tex] = 3.5  where the product is 1 < [tex]10^x[/tex] <  100.

To ensure that the product is greater than 1 but less than 100 when multiplying 0.035 by a power of ten, we need to find the appropriate exponent that will give us a result within this range.

Let's express 0.035 as a product of a number between 1 and 10 and a power of ten:

0.035 = 3.5 × [tex]10^{-2}[/tex]

Multiplying by a power of ten increases the value. We want the product to be greater than 1 but less than 100. So, we need to increase the exponent of ten until we reach a value within this range.

0.035 × [tex]10^x[/tex]

To ensure that the product is greater than 1, we need to increase the exponent enough to make the coefficient (3.5) greater than 1:

3.5 × [tex]10^x[/tex] > 1

[tex]10^x[/tex] > [tex]\frac{1}{3.5}[/tex]

[tex]10^x[/tex] > 0.29

To ensure that the product is less than 100, we need to find an exponent that doesn't increase the coefficient (3.5) too much:

3.5 × [tex]10^x[/tex] < 100

[tex]10^x[/tex] <  [tex]\frac{100}{3.5}[/tex]

[tex]10^x[/tex] < 28.57

Now, we need to find the appropriate exponent x that satisfies both conditions. This exponent should make the product greater than 1 but less than 100.

To simplify, we can use the fact that [tex]10^1[/tex] = 10 and [tex]10^2[/tex] = 100:

[tex]\[ 10^0[/tex] < [tex]10^x[/tex] < [tex]10^2[/tex]

Now, we can choose any exponent between 0 and 2 that satisfies the inequality. For example, we can choose x = 1:

0.035 × [tex]10^1[/tex] = 0.035 × 10 = 0.35

The product of 0.035 multiplied by [tex]10^1[/tex]  is 0.35, which is not greater than 1 but less than 100.

Putting x = 2,

0.035 × [tex]10^2[/tex] = 0.035 × 100 = 3.5

Here, the product is greater than 1 but less than 100.

The question is:

Write an expression to multiply 0.035 times a power of ten so that the product is greater than 1, but less than 100.

Answer:

Love

Step-by-step explanation:

Thanks for the help.

Answer:

39 mph

15 mph and 28 mph

Median

Median

It shows the median speed.

Step-by-step explanation:

Mira has 6 pieces of wood, and she wants to divide them into equal parts of 3/4. Then in total how many pieces of wood she has?

Division is the process of splitting a number or an amount into equal parts

Here, we have,

6÷ 3/4

=6×4/3

=8

The required story may be:

Mira has 6 pieces of wood, and she wants to divide them into equal parts of 3/4. Then in total how many pieces of wood she has?

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Answer:

its -2

please brainleist

The answer is 100 thats all you have to put trust me.