Calculate the total paid hours of the following workers. The weekly pay is $5.15 per hour, with time and a half for any hours beyond 40. Use Method 2. Round all values to two decimal places.

The length of the longest side is 90 feet, length of the shortest side is 80 feet and the length of the middle side is 85 feet.

Given, the shortest side of a triangle is 10 feet shorter than the Longest side. The middle side is 5 feet shorter than the longest side.

let the longest side be x feet.

shortest side be x ₋ 10 feet.

middle side be x ₋ 5 feet.

the perimeter of the triangle is 255 feet.

a ₊ b ₊ c = 255

x ₊ x ₋ 10  ₊ x ₋ 5 = 255

3x ₋ 15 = 255

3x = 255 ₊ 15

3x = 270

x = 270/3

x = 90

substitute x value in : x ₋ 10

hence the length of the shortest side is 90 ₋ 10 = 80 feet.

similarly, x ₋ 5 = 90 ₋ 5 = 85 feet is the length of the middle side.

hence we get the desired results.

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Answer:

13

Step-by-step explanation:

According to the Pythagorean principle

[tex]c^{2} = a^{2} +b^{2}[/tex]

[tex]c^{2} = (5^{2} ) + (12^{2} ) = 25 +144= 169\\c= \sqrt{169 } = 13[/tex]

We have

[tex]e^{-iy \log(n)} = e^{\log(n^{-iy})} = n^{-iy}[/tex]

and

[tex]\dfrac1{n^x} \cdot e^{-iy \log(n)} = \dfrac{n^{-iy}}{n^x} = \dfrac1{n^{x+iy}} = \dfrac1{n^z}[/tex]

The sum

[tex]\displaystyle \sum_{n=1}^\infty \frac1{n^z}[/tex]

is exactly the definition of the Riemann zeta function [tex]\zeta(z)[/tex].

Answer:

=The numbers which donot have factors and can be only divided by themselves are know as prime numbers.Eg: 2,3,5,7

= A number that can be represented as the quotient p/q of two integers such that q ≠ 0 are known as rational numbers. Eg 4/8,5,-10

=An irrational number is a number that cannot be expressed as a fraction for any integers.Eg -0.25,3.5

Answer:

7 gramos = 0,247 onzas

Explanation

Fórmula

para obtener un resultado aproximado, divida el valor de la masa por 28,35

7 ÷ 28,35

= 0.247 onzas

Based on the scores given in the table, the mean of the scores can be found to be 78

The mean of the scores can be found by adding all the scores together and then dividing the sum by the number of scores in the table.

The sum of the scores is:

= 56+ 82 + 90 + 83 + 79 + 59 + 71 + 66 + 53 + 94 + 78 + 80 + 67 + 65 + 86 + 76 + 83 + 92 + 69 + 69 + 91 + 68 + 78 + 87 + 87 + 81 + 87 + 76 + 96 + 83

= 2,332

The mean is:

= 2,332 / 30

= 77.73

= 78

Question is:

What is the mean of the scores?

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This fraction is an improper fraction.

In improper fractions, the numerator is greater than the denominator

Distance between the two (x₁, y₁) and (x₂, y₂) coordinates are-

d = √[(x₁ - x₂)² + (y₁ - y₂)²]

The coordinates of M taken from the graph are -

M = (1.5, 3)

Now, for calculating the perimeter of triangle MOI is-

First find the distance between points O and I.

O = (0, 0) and I = (3, 0)

OI = √[(3 - 0)² + (0 - 0)²]

OI = 3 units.

The distance between MI;

MI =  √[(3 - 1.5)² + (0 - 3)²]

MI =  √[(1.5)² + (-3)²]

MI = √(2.25 + 9)

MI = 3.35 units

Now, find distance between OM

MO =  √[(1.5 - 0)² + (3 - 0)²]

MO =  √[(1.5)² + (3)²]

MO = √(2.25 + 9)

MO = 3.35 units

Thus, the perimeter of the triangle MOI is;

Perimeter = OI + MO + MI

                 = 3 + 3.35 + 3.35

Perimeter = 9.7 units.

Thus, the perimeter of the Triangle MOI is 9.7 units.

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Tanya will then have 286 cookies after baking 12 more batches.

A linear equation's slope-intercept form is y = mx + b. The variables in the equation are x as well as y. The integers m and b represent the the line's slope (m) and the value of y when x is 0 respectively (b). Because (0,y) is the point when the line crosses the y-axis, the value of y when x is 0 is known as the y-intercept.

A linear equation with one variable is one with only one variable. It has the formula Ax + B = 0, where A and B can be any two real numbers as well as x is an unknown variable with a single solution. 9x + 78 = 18, for example, is a one-variable linear equation.

y = 70 + 18(x)

x = 12 batches.

substituting the value in the equation:

y = 70 + 18(x)

y = 70 + 18(12)

   = 70 + 216

y  = 286.

Tanya will then have 286 cookies after baking 12 more batches.

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The photograph is 6 inches wide and 15 inches long.

Answer:

Step-by-step explanation:

(0.1)²=0.01

(0.2)²=0.04

(0.3)²=0.09

(0.4)²=0.16

(0.5)²=0.25

(0.6)²=0.36

(0.7)²=0.49

(0.8)²=0.64

√0.5 or √0.50 is between √0.49 and √0.64

or

0.7 and 0.8

(0.01)²=0.0001

(0.02)²=0.0004

(0.03)²=0.0009

(0.04)²=0.0016

(0.05)²=0.0025

so √0.002 or √0.0020 is between √0.0016 and √0.0025

or between 0.04 and 0.05

Five 10-oz water bottles will have a lower unit price. The correct option is B.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that there are two conditions for water bottles Five 10-oz bottles for $2.30 and Seven 12-oz bottles for $4.20. The water bottle having the lower price will be:-

Five 10-oz bottles = $2.30

One 10- oz bottle = 2.30 / 5 = $0.46

Seven 12-oz bottles = $4.20

One 12-oz bottles = $4.20 / 7 = $0.6

Therefore, five 10-oz water bottles will have a lower unit price. The correct option is B.

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Here is a table that shows the frequency and the relative frequency distributions:

Class  Frequency    Relative frequency

A           57                      0.475

B           26                     0.217

C           37                      0.308

Total      120                         1

Frequency measures the number of times a response is observed in a dataset. For example, the frequency of A is 57. Relative frequency measures how often a value appears relative to the sum of the total values. The sum of relative frequency is equal to 1.

Relative frequency = frequency / total frequency

A = 57 / 120 = 0.475

B =26 / 120 = 0.217

C = 37 / 120 = 0.308

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Answer: 10.83334 ounces or  10 5/6

Step-by-step explanation:

Essentially you would divide 65 into six groups. Because you are dividing the amount of liquid into six cups. Hope this answers your question, ask me any other questions you might have.

Answer:

c= 1    w =1.25    

Step-by-step explanation:

10w +6c = 26-   2w +6c= 16      Subtration =  8w = 10  =     10/8   = 1.25  = w =1.25 12(1.25)+ 6c = 16  = 2.5 + 6c = 8.5     Subtration = 6c = 8.5 -2.5 =  6c = 6  = c= 6/6 = 1  c= 1

Answer:

9 6/7

This is the answer

The solution to the inequality, r/-3.5 > 9.1 is: A: r < −31.85.

Just like a normal algebraic equation is being solved, so is an inequality. An inequality is solved by finding the value of the variable that makes the inequality true.

Given the inequality, r/-3.5 > 9.1, follow the steps below to find the possible values of r in the inequality:

r/-3.5 > 9.1

Multiply both sides by -3.5, then change the inequality sign ">" to "<" since we are dividing by a negative number:

r/-3.5(3.5) < 9.1(-3.5) (multiplication property of equality)

r <  −31.85

Therefore, the solution to the inequality, r/-3.5 > 9.1 is: A: r < −31.85.

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Answer:

a

Step-by-step explanation:

The distance between the two points is √ [37]

given,

A(-4,1) ; B(2,0)

For the distance,

d(A,B) = √(x B - x A)² + (y B - y A)²

d(A,B) = √(2+4)² + (0-1)²

= √6² + 1² = √36 + 1

= √37

therefore the distance between the two point is  √37.

Distance between two points is the length of the line segment that connects the two points in a plane. The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.

We can apply the Pythagoras theorem to derive the distance between two points formula. We can take the line joining the two points as the hypotenuse of a right triangle formed in the cartesian plane. The length of the hypotenuse can be calculated using the Pythagorean theorem and the given coordinates of two points to derive the distance between two points formula.

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Answer:

f(1) = 11

Step-by-step explanation:

ƒ(x) = 3x + 8 for x = 1.

f(1) = 3(1) + 8

f(1) = 3+ 8

f(1) = 11

I hope this helps!

Answer:

4.625 hours

Step-by-step explanation:

Since it takes 5 hours for the inlet pipe to fill the pool, just using the inlet pipe alone will fill [tex]\frac{1}{5}[/tex] of pool in 1 hour

Since it takes 8 hours for the outlet pipe to empty the pool, just using the outlet pipe alone will empty [tex]\frac{1}{8}[/tex] of pool in 1 hour

Let us assume the pool capacity is 40 gallons

We choose 40 because it is the LCM of 5 and 8 so we can get integer values

Inflow rate = 40/5 = 8 gal per hour

Outflow rate = 40/8 = 5 gal per hour

Net rate = 8-5 = 3 gal per hour if both pipes are open

In one hour with both pipes open, the pool will have 3 gallons of water. Therefore remaining water to fill the pool is 40-3 = 37 gallons

After 1 hour, the outlet pipe is closed and only inlet pipe is open. Therefore inflow rate is 8 gal/hour and outflow rate is 0 gal/hour

So net inflow rate = 8 - 0 = 8 gal/hour

To fill 37 gallons using this rate would be 37/8 = 4.625 hours

Answer:

61,63,and 65

Step-by-step explanation:

61+63+65=189

Based on the fact that Shannon has created 4 levels for her game after 8 weeks, the equation for the relationship between x and y is y = 2x

y is used to denote the number of weeks it takes to program the number of levels which is 8 weeks.

x is the number of levels that Shannon would have made for the game which is 4 levels.

The relationship between y and x is:

= y / x

= 8 weeks / 4 levels

= 2 weeks per level

The relationship can then be shown as:

y = 2x

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The gram is a measure of  Mass because weight that is used especially in the centimeter-gram-second system of measurement

gram (g), also spelled gram, unit of Mass or weight that is used especially in the centimeter-gram-second system of measurement (see International System of Units).

Mass is the quantity of matter in a physical body.  it's also a measure of the body's inertia, the resistance to acceleration (change of velocity) when a net force is applied. An object's mass also determines the strength of its gravity to other bodies.

The SI base unit of mass is the kilogram (kg). In physics, mass isn't the same as weight,  although mass is often determined by measuring the object's weight using a spring scale,  instead of a balance scale and comparing it directly with known masses. An object on the Moon would weigh but it does on Earth because of the lower gravity, but it might still have the same mass.  this is often because weight is a force, while mass is the property that (along with gravity) determines the strength of this force.

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A truth table is a breakdown of a logic function by listing all possible values the function can attain.

This tool generates truth tables for propositional logic formulas. You can enter logical operators in several different formats. For example, the propositional formula p ∧ q → ¬r could be written as p /\ q -> ~r, as p and q => not r, or as p && q -> !r. The connectives ⊤ and ⊥ can be entered as T and F.

P Q (Q ∧ P)

F F F

F T F

T F F

T T T

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It should be noted that the information regarding the transformation illustrates that Elena is wrong.

A point, line, or geometric figure can be transformed in a way that affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

It should be noted that the first step makes the figures be the same by size but the second step, reflection over line AE doesn't map them together.

In this case, the correct line of reflection would be a vertical line through point D.

Therefore, it should be noted that the information regarding the transformation illustrates that Elena is wrong.

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Elena gives the following sequence of transformations to show that the two figures are similar by

transforming ABCD into EFGD.

1. Dilate using center D and scale factor 2.

2. Reflect using the line AE.