The weights of items produced by a company are normally distributed with a mean of 5 ounces and a standard deviation of 0.3 ounces. What is the minimum weight of the heaviest 9.8% of all items produced

Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.

Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.

What is an Angle?

An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths

To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:

Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.

Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees

Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees

Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.

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While problem and solution essays are considered expository (writing that exposes facts) in nature, they are persuasive in nature because they call for a solution to a problem.

What is the problem?

A mathematical problem is one that can be modeled, examined, and potentially resolved using mathematical techniques. This can be a practical issue, like figuring out the orbits of the planets in our solar system, or a more theoretical issue, like Hilbert's problems.

The expository essay is a type of essay that calls for the student to research a topic, assess the evidence, elaborate on the topic, and present an argument about the topic in a clear and succinct manner. This can be done by using examples, definitions, comparisons, cause and effect analyses, and more.

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Answer:

  2

Step-by-step explanation:

The expression is the sum of two terms.

__

Additional comment

The word "term" is used in different contexts to mean any specified part of an expression. We could call "5" a term in the ratio m/5, for example.

The idea of "term" is usually introduced when considering polynomials as sums of products. Each of the products contributing to the sum is considered a "term." In the given expression, the sum has two contributors:

  (m/5) + (4·6)

Answer:

  $5.59

Step-by-step explanation:

You want the unit price of a pair of socks, given that 5 pairs cost $27.95.

The unit price is found by dividing the price by the number of units.

  $27.95/5 = $5.59

The unit price of a pair of socks is $5.59.

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Answer:0.03125

Step-by-step explanation:

GOO*OOGLE

Step-by-step explanation:

(1/2)^5   = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 =   1/32

Answer:

What are the given dimensions of the rectangular prism? We need more info in order to help you in the best way possible. If you could provide more info about the question in the comments below, I'd be more than happy to take a look and see what I can do to help.

Thanks!

Answer:

i ont hel.p.............................................. .

Step-by-step explanation:

Answer:

Step-by-step explanation:

Imagine a horizontal line that intersects the graph at 3 points

Looking at the graph, the line is possible in the interval from y = -2.5 to y = -4

Answer:

HL

Step-by-step explanation:

It give you that the hypotenuse and one leg is congruent

Answer:

RECT is similar to SQUA since their corresponding angles are the same size, and the side lengths of RECT are three times the corresponding side lengths of SQUA (their corresponding sides are in the same ratio).

Step-by-step explanation:

In similar shapes:

Since RECT and SQUA are both rectangular, their corresponding angles are the same size.

If RECT is similar to SQUA then their corresponding sides will be in the same ratio:

\(\implies \sf RE:EC=SQ:QU\)

From inspection of the given diagram:

Substitute these values into the ratio:

\(\implies \sf 18:10.5=6:3.5\)

Therefore:

\(\implies \sf \dfrac{18}{10.5}=\dfrac{6}{3.5}\)

Cross multiply:

\(\implies \sf 18 \cdot 3.5 = 6 \cdot 10.5\)

\(\implies \sf 63=63\)

As the equation is true, this proves that RECT ~ SQUA.

Note: The side lengths of RECT are three times the corresponding side lengths of SQUA.

Answer:

that would be 6

x = 6

Step-by-step explanation:

Hello!

y = 88° (opposite are equal)

z = 180° - 128° = 52° (straight angle = 180°)

x = 180° - 140° = 40° (straight angle = 180°)

Answer:

x=40°

y=88°

z=52°

Step-by-step explanation:

Solution Given:

x+140°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for x.

x=180°-140°

x=40°

\(\hrulefill\)

y°=88°

Since the vertically opposite angle is equal.

therefore, y=88°

\(\hrulefill\)

z+128°=180°

Since the sum of the angle of a linear pair or straight line is 180°.

solving for z.

z=180°-128°

z=52°

By substitution; x = 4 and y = -31

An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.

y=-6x-7 --- 1

7x+y=-3 --- 2

Substituting y as 6x - 7 in equation 2

7x + (-6x - 7) = -3

7x - 6x - 7 = -3

x - 7 = -3

x = -3 + 7

x = 4

Substitute x as 4 in equation 1

y = -6x - 7

y = -6(4) - 7

y = -24 - 7

y = -31

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Answer:

your insurance will pay $165,000 for the damages to your home. You will have to pay the remaining $5,000 as your deductible.

Step-by-step explanation:

The amount that the person get after he home suffers $170,000 in damages is $-130000.

Deductible amount is the amount which is paid by one in the starting of any policy.

The homeowner’s policy has a premium of $150. Thus, the amount paid in a year is,

\(150\times12=1800\)

The home suffers $170,000 in damages and the deductible is of $5000. Thus, the amount remain is,

\(\text{A}=170000-5000\)

\(\text{A}=165000\)

The limit of the policy is $300000. Thus, the amount will be remained as,

\(\text{A}=165000-300000\)

\(\text{A}=-135000\)

If we include the deductible amount, then,

\(\text{A}=-135000+5000\)

\(\text{A}=-130000\)

This amount does not include the premium paid by the homeowner. Hence the amount that the person get after he home suffers $170,000 in damages is $-130000.

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Answer:

\(\textsf{a)} \quad y=(x+1)^2-4\)

\(\textsf{b)} \quad y=2(x-4)^2-2\)

Step-by-step explanation:

Vertex form of a parabola:  \(y=a(x-h)^2+k\)

(where (h, k) is the vertex and \(a\) is some constant)

Substitute the vertex into the formula:

\(\begin{aligned}\implies y &=a(x-(-1))^2-4\\y & =a(x+1)^2-4\end{aligned}\)

Substitute the point (1, 0) into the formula:

\(\begin{aligned}\implies a(1+1)^2-4&=0\\4a-4&=0\\4a &=4\\a &=1\end{aligned}\)

Therefore, the equation of the parabola in vertex form is:

\(y=(x+1)^2-4\)

Substitute the vertex into the formula:

\(\begin{aligned}\implies y &=a(x-4)^2+(-2)\\y & =a(x-4)^2-2\end{aligned}\)

Substitute the point (6, 6) into the formula:

\(\begin{aligned}\implies a(6-4)^2-2&=6\\4a-2 & =6\\4a &=8\\a &=2\end{aligned}\)

Therefore, the equation of the parabola in vertex form is:

\(y=2(x-4)^2-2\)

Find a

So

Vertex form

#2

Find a

Vertex form

Answer:

3

Step-by-step explanation:

1+0+1+0+1+0= 3

The zeros and the multiplicities are

from the question, we have the following parameters that can be used in our computation:

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

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Answer:

11+12=23

(hopefully this helps)

If m = -5 or m = 3, the system of linear equations has no solution.

To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:

| 3 m |

| m+2 5 |

The determinant is

=  (3 x 5) - (m x (m+2))

= 15 - m^2 - 2m

= -(m^2 + 2m - 15)

= -(m+5)(m-3)

So, for the system to have no solution, the determinant must be zero, so we have:

-(m+5)(m-3) = 0

This gives us two values of m: m = -5 and m = 3.

Thus, if m = -5 or m = 3, the system of linear equations has no solution.

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Answer: b is the answer

Step-by-step explanation:

The x-intercept of the function is (-1/3, 0) and (5, 0)

Given is a graph of a parabola having equation y = -3x²+14x+5, we need to find the x-intercept of the graph,

So to find the x-intercept put y = 0,

Therefore,

-3x²+14x+5 = 0

-3x²+15x-x+5 = 0

-3x(x-5)-1(x-5) = 0

(-3x-1)(x-5) = 0

Therefore,

x = -1/3 and x = 5

Hence the x-intercept of the function is (-1/3, 0) and (5, 0)

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Answer:

Point A:

(1, 3) ------> (3, -1)

Point B:

(3, 3) ------> (3, -3)

Point C:

(3, 2) ------> (2, -3)

Step-by-step explanation:

To find the coordinates of a 90° clockwise rotation, use the following:

\((x, y)\) -----> \((y, -x)\)

This means you will switch the x and y coordinates of the point and then take the opposite of the x coordinate (if it is positive make it negative and if it is negative make it positive).

Point A:

(1, 3) ------> (3, -1)

Point B:

(3, 3) ------> (3, -3)

Point C:

(3, 2) ------> (2, -3)

\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

Answer:

The correct answer is B: Saturday.

The relationship between Monday and Thursday is that they are two days apart in a typical Monday-to-Sunday week. Similarly, Friday is also two days apart from Tuesday in a typical week, so the relationship between Friday and Tuesday would be the same as the relationship between Monday and Thursday. Therefore, the correct answer is B: Saturday.

Laura has 9.23 pounds of seeds

if it takes 7.1 pounds of seed to plant one acre of grass

let the acres of grass to be planted be x

so,

7.1 = 1 acres

9.23 = x

lets cross multiply

7.1 X x = 9.23 X 1

7.1x = 9.23

divide both sides by 7.1

7.1x/7.1 = 9.23/7.1

x = 1.3

therefore,

1.3 acres

Answer:

0.125.

Step-by-step explanation:

To convert 1/8 to a decimal, divide the denominator into the numerator. 1 divided by 8 = 0.125.

isn't it .125?

yeah 1/8 is .125 as a decimal