can someone please help me lean this crazy math please so i can learn

To have an effective safeguarding system, specific and detailed training of workers must also be included.

What constitutes the foundation of the safety system?

 Any portion of the operator's body, including the hands, arms, and other body parts, must not come into touch with potentially harmful moving parts.

                              A strong safety system completely avoids the chance of the operator or another worker putting their bodies in close proximity to dangerous moving parts.

What are the two main sorts of protection strategies?

There are primarily two types of safeguarding: hard guards and safeguarding gadgets. Hard guards act as a physical barrier between workers and moving parts.

                            Safeguarding devices, however, stop unintentional access to dangers. A machine that needs two hands to operate it, for instance, ensures that neither hand may enter the danger zone.

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Therefore , the solution of the given problem of square comes out to be the square's perimeter is higher than the number of square units for the square's surface.

A square, according to Euclidean mathematics, is a quadrilateral with four equal sides and four equal angles. Another term for a rectangle is a shape with two neighboring sides that are the same length. A quadrilateral is said to be equilateral if one of its 4 triangular edges and four equal corners is a square. A cubical angle refers to one that's 90 ° or straight. The square's diagonals are evenly spaced and split in half at a 90-degree angle.

Here,

We can use the formulas for area and perimeter of a square to decide which is greater: its area or perimeter with sides that are 10 units long.

A = s², where s is the extent of one edge, calculates the area of a square. The square's size in this instance is

=> 102 = 100 square units.

P = 4s, where s is the length of one edge, calculates the perimeter of a square. In this instance, the square's circumference is

=> 4(10)

=> 40 units.

We can see that the perimeter is larger than the area by comparing the two values.

Consequently, we can draw the conclusion that the number of units for the square's perimeter is higher than the number of square units for the square's surface.

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You should add 115.2 fluid ounces of oil to your 1.5 quarts of gasoline.

An expression is a group of symbols and/or numbers used to represent a quantity or a mathematical relationship between two quantities in mathematics. Variables, constants, as well as operators like addition, subtraction, multiplication, and division, can all be found in an expression.

Since there are 4 quarts in a gallon, 1.5 quarts is equal to 1.5/4 = 0.375 gallons of gasoline.

To determine how much oil to add, we need to use the ratio of 2.4 fl. oz. of oil for every gallon of gasoline.

First, we need to convert the amount of gasoline we have from gallons to fluid ounces:

0.375 gallons x 128 fluid ounces per gallon = 48 fluid ounces of gasoline.

Next, we can use the ratio to find how much oil to add:

2.4 fl. oz. oil: 1 gallon gasoline

x fl. oz. oil: 48 fl. oz. gasoline

Cross-multiplying, we get:

2.4 x 48 = 1 x (x)

115.2 = x

So you should add 115.2 fluid ounces of oil to your 1.5 quarts of gasoline.

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Answer:

Step-by-step explanation:

Well when rotating 90° RSTU counterclockwise we get MNPQ.

When rotating 90° RSTU clockwise we get it the reflection across the y-axis.

The selling price is the cost a customer pays for a good or service.

(1) Profit % = 25% . (2) Profit % = 6% . (3) Profit = Rs.9712 .

(4) Profit = Rs.9712 . (5) Loss % =  7.5% .

The amount a buyer pays for a good or service is known as the selling price.

It may differ based on the price that buyers are prepared to pay, the seller's acceptance threshold, and how competitive the price is in relation to those of other companies in the market.

The cost price of an item is the sum paid for it or the cost at which it was produced. C.P. stands for "cost price." Selling Price: The selling price of a good is the price at which it is sold.

So, the table would be:

(1)

CP = Rs.8000 , SP = Rs.10000

if SP > CP, we have profit.

Profit = SP - CP = 10000 - 8000 = Rs.2000 .

Profit % = (Profit * 100) / CP = (2000 * 100) / 8000 = 25% .

(2)

SP = Rs.6890 , Profit = Rs.390 .

CP = SP - Profit = 6890 - 390 = Rs.6500 .

Profit % = (Profit * 100) / CP = (390 * 100) / 6500 = 6% .

(3)

CP = Rs.25000 , Loss = Rs.1000 .

SP = CP - Loss = 25000 - 1000 = Rs.24000 .

Loss % = (Loss * 100) / CP = (1000 * 100) / 25000 = 4% .

(4)

CP = Rs.48560 , Profit = 20% .

SP = CP * (100 + Profit%) / 100 = (48560 * 120) / 100 = Rs.58272 .

Profit = SP - CP = 58272 - 48560 = Rs.9712 .

(5)

CP = Rs.28320 , SP = Rs.26196 .

CP > SP, we have a Loss.

Loss = CP - SP = 28320 - 26196 = Rs.2124 .

Loss % = (Loss * 100) / CP = (2124 * 100) / 28320 = 7.5% .

Therefore, the selling price is the cost a customer pays for a good or service.

(1) Profit % = 25% . (2) Profit % = 6% . (3) Profit = Rs.9712 .

(4) Profit = Rs.9712 . (5) Loss % =  7.5% .

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Complete question:

Find the profit or loss and complete the table.

Cost Price Selling Price Profit () Loss

Profit Loss

Percentage Percentage

6000

1000

6000

(a) 5000

(b) 6200

(c) 2400

(d) 1900

400

300

1590

190​

A roll has 12 yards of ribbon. Haley uses 6 feet of the ribbon for a swing project. There are 30 feet of ribbon are left on the roll.

The foot is a unit of measurement. Length is measured by feet.

First, confirm that the numbers use the same measuring units. We can see that Haley used 6 feet out of the roll's 12 yards.

Three feet make up a yard.

Because 6 is equivalent to twice as much as 3 feet and 2 is equal to twice as much as 1, 6 feet would be equal to 2 yards.

So, we must take away 2 from 12; 12-2 equals 10.

Recall that the question asks for feet, therefore we may multiply 10 by 3 to get how many feet are still available.

10 x 3 = 30,

So, 30 feet of ribbon is left on the roll.

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Answer: 1015

Step-by-step explanation: We will find the factors of all the given numbers by using the prime factorization method. Then we will multiply the factors with the highest degree to find the least common multiple of the given numbers.

The value of all the integers are,

4, 5, 6

or, - 8, - 7, - 6

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Let three consecutive numbers are, (x - 1) , x , (x + 1).

Hence, By given condition we get;

⇒ (x - 1)² + 2 (x + x + 1) = 38

⇒ x² - 2x + 1 + 4x + 2 = 38

⇒ x² + 2x - 35 = 0

⇒ x² + 7x - 5x - 35 = 0

⇒ x (x + 7) - 5 (x + 7) = 0

⇒ (x - 5) (x + 7) = 0

⇒ x = 5 or x = - 7

When, x = 5

All the integers are,

x - 1 = 5 - 1 = 4

x = 5

x + 1 = 5 + 1 = 6

When x = - 7

All the integers are,

x - 1 = - 7 - 1 = - 8

x = - 7

x + 1 = - 7 + 1 = - 6

Thus, The value of all the integers are,

4, 5, 6

or, - 8, - 7, - 6

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The x intercept is (2, 0) and the y intercept is (0, 8)

x-intercept and y-intercept are the two main intercepts. The line's x-intercept and y-intercept are located where the line crosses the x and y axes, respectively.

As per the given data:

The function is [tex]f(x) = -3^x + 9[/tex].

For the x intercept, f(x) = 0:

[tex]0 = -3^x + 9\\3^x = 9\\x = 2[/tex]

The x intercept is 2.

For the y intercept, x = 0:

[tex]y = -3^0 + 9\\y = -1 + 9\\y = 8[/tex]

The y intercept is 8.

Hence, The x intercept is (2, 0) and the y intercept is (0, 8)

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A statement with more than two variables or numbers can be written as an expression using addition, subtraction, multiplication, and division operations. Tickets for the film are $16 each.

A combination of symbols and/or numbers that infers a quantity or a mathematical relationship between two quantities is known as an expression in mathematics. Variables, constants, and operators like addition, subtraction, multiplication, and division can all be found in expressions.

Given that,

Total amount spent = $24.

Cost of the movie ticket = m

Cost of popcorn and soft drinks = 1/2 x m = $(m/2)

The cost of the movie will be calculated as,

Cost of popcorn + Cost of soft drinks + Cost of the movie = $24

[tex]\dfrac{m}{2} + m = 24[/tex]

[tex]\dfrac{(m + 2m)} { 2} = 24[/tex]

[tex]\dfrac{3m}{2} = 24[/tex]

3m = 24 x 2

m = 8 x 2

m = $16

The cost of the movie ticket is $16.

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The complete question is given below.

Rafael spent 24 dollars on a movie ticket, popcorn, and a soft drink. if the combined cost of the popcorn and soft drink was 1/2 the boost of the movie ticket, what was the cost of the movie ticket?

The smallest possible value of x+y+z such that 3^x+5^y+7^z is divisible by 105 is 11.

Natural numbers are a set of positive integers that are used for counting and ordering. In other words, natural numbers are the set of numbers that are used to represent the quantity of objects, such as 1, 2, 3, 4, 5, 6, and so on. Some definitions include zero as a natural number, while others define natural numbers to start from 1. In mathematics, natural numbers are denoted by the symbol "N" or "N+", and are sometimes referred to as counting numbers.

Whole numbers are a set of non-negative integers that include all natural numbers (positive integers) and zero. Whole numbers are used to represent quantities that cannot be divided into smaller parts, such as the number of people in a room, the number of apples in a basket, or the number of books on a shelf.

In the given question,

We know that 105 is a multiple of 3, 5, and 7. Therefore, if 3^x+5^y+7^z is divisible by 105, it must also be divisible by 3, 5, and 7.

If 3^x+5^y+7^z is divisible by 3, then 3^x ≡ 0 (mod 3), which means x ≥ 1.

If 3^x+5^y+7^z is divisible by 5, then 5^y ≡ 0 (mod 5), which means y ≥ 1.

If 3^x+5^y+7^z is divisible by 7, then 7^z ≡ 0 (mod 7), which means z ≥ 1.

Therefore, we have x+y+z ≥ 3.

We also know that 105 is the smallest multiple of 3, 5, and 7. Therefore, we want to find the smallest values of x, y, and z that will make 3^x+5^y+7^z divisible by 105.

If we want 3^x+5^y+7^z to be divisible by 105, we need x, y, and z to be multiples of 4, 4, and 3, respectively.

The smallest such values are x=4, y=4, and z=3. Therefore, the smallest possible value of x+y+z is 4+4+3=11.

So, the smallest possible value of x+y+z such that 3^x+5^y+7^z is divisible by 105 is 11.

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The width of the rectangular prism shaped toolbox is 10 inches.

A prism is a three-dimensional geometric shape that has two parallel and congruent bases that are connected by a set of parallelograms or rectangles. A prism is named according to the shape of its base, such as triangular prism, rectangular prism, or hexagonal prism.

A prism is characterized by its length, width, and height, and it has a volume equal to the product of its base area and its height. The lateral faces of a prism are parallelograms or rectangles, and the edges of a prism where the lateral faces meet the bases are perpendicular to the bases.

Now,

To find the width of the toolbox, we can use the formula for the volume of a rectangular prism, which is:

Volume = length x width x height

We are given that the volume of the toolbox is 4,500 cubic inches, the length is 30 inches, and the height is 15 inches.

Then

4,500 = 30 x width x 15

Simplifying the right side, we get:

4,500 = 450 * width

Dividing both sides by 450, we get:

width = 10 inches

Therefore, the width of the toolbox is 10 inches.

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Answer: C

Step-by-step explanation:

The exponential equation that models the population of Lime County would be: y = 711,500(0.979)^x

We can use the information from the question. When Leslie moved to Lime County, the population was 711,500, i.e.:

Let's then use this information to set up two equations:

Let's now substitute the value of a into the second equation:

Therefore, we find the exponential equation that models the population of Lime County, which is:

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The required slope of the tangent line to the graph of the function at the point (-1, 5) is -2.

A line that only touches a circle or an ellipse at one place is said to be tangential in geometry. If a line touches a curve at point P, that place is referred to as the point of tangency. In other words, it is described as the line that, at that particular point, depicts the slope of a curve.

The slope of the tangent line to the graph of a function at a given point is equal to the derivative of the function at that point.

So, to find the slope of the tangent line to the graph of the function f(x) = -2x at the point (-1, 5), we need to find the derivative of the function at x = -1.

Using the power rule for derivatives, we can find the derivative of f(x) = -2x as:

[tex]$f'(x) = \frac{d}{dx}(-2x) = -2$$[/tex]

So, the slope of the tangent line to the graph of the function f(x) = -2x at x = -1 is:

f'(-1) = -2

Therefore, the slope of the tangent line to the graph of the function at the point (-1, 5) is -2.

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Answer

November 5 - Purchase = 1100Unit cost = $40Payable = (1,100*40) 44000 November 7Returns - 25 defective units = 25*40 =1000Terms of sale = 5/10 , n/60If invoices are paid within 10 days , a discount of 5% is given.Therefore payment on November 15 attracts a discount of 5% of the net purchase Journal entries

Step-by-step explanation:

The center of this circle is (-2,2) and its radius is 2.

It is required to find the center and radius of the circle.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”. The perimeter around the circle is known as the circumference.

here, we have,

Given that: (x + 2)² + (y-2)² = 4

The equation of a circle in standard form is:

(x -a)² + (y-b)² = r²

The x-coordinate of the center is a the y-coordinate of the center is b

, and r is the radius.

In this case,

a=-2

b=2

and

r=2.

Hence, the center of this circle is (-2,2) and its radius is 2.

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The equation of the line that represents the total cost is c = 4d + 8 and the total cost when 1 drink is bought is $ 12.

The slope-intercept form of a line has used to form a linear equation in two variables. It is called the slope-intercept form because it gives us two pieces of information about the line its slope and y-intercept.

The slope-intercept form of a line is given by the equation:

where:

m is the slope of the line

b is the y-intercept of the line

Here we have

The graph shows the total cost c of buying one large bucket of popcorn and d large drinks.  

From the graph, the line passes through points (0, 8) and (1, 12)  

Hence, slope of the line (m) = [(y₂ - y₁) / (x₂ - x₁) ]

= [(12 - 8) / (1 - 0) ] = [4 / 1] = 4

Let y = mx + c be the lines

=> y = 4x + c

Since the line passes through (0, 8)

=> 8 = 4(0) + c

=> c = 8

Hence, the required equation is y = 4x + 8  

From the data,

The y-axis represents the total cost 'c' and the x-axis represents the number of drinks 'd'

=>  Total cost c = 4d + 8

Hence,

The equation of the line that represents the total cost is c = 4d + 8

If we bought 1 large drink

=> c = 4(1) + 8 = 12

Therefore,

The equation of the line that represents the total cost is c = 4d + 8 and the total cost when 1 drink is bought is $ 12.

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The intercepts are (0, 0), (-π, 0) and (π, 0)

The intercepts

The intercepts of a graph are the points where the graph intersects the x-axis (horizontal axis) and the y-axis (vertical axis).

From the given graph, we have the intercepts to be

(0, 0), (-π, 0) and (π, 0)

The domain and the range

The domain of a graph refers to the set of all possible input values, while the range refers to the set of all possible output values.

Using the above definition as a guide, we have

Domain = (-∝, ∝)

Range = [-2, 2]

The increasing and the decreasing interval

From the graph, we can see that the y values decrease from x = -π till x = -π/2 and also decrease from x = π/2 till x = π

Also, it increase from -π/2 till π/2

These are the increasing and the decreasing intervals

The function type

Based on the appearance of the graph, the function is an odd function

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The correct answer is option C: 4 x 11/ 7 x 15.

What is the fractions?

A fraction is a numerical quantity that represents a part of a whole. It is expressed as one number, called the numerator, written above a line, and a second number, called the denominator, written below the same line.

The product of 4/7 and 11/15 is:

(4/7) x (11/15)

= (4 x 11)/(7 x 15) (Multiplying the numerators and denominators separately)

Hence, the correct answer is option C: 4 x 11/ 7 x 15.

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Answer:

19107

Step-by-step explanation:

First, we need to find the common difference (d), which we can find by subtracting two consecutive terms.  Thus, we can do d = 1 - (-3) = 4.

Now, we need to know how many terms are in the arithmetic series.  We can find the number using nth term formula, which is

[tex]a_{n}=a_{1}+(n-1)*d[/tex], where a1 is the first term, n is the term position (e.g., 1st, 2nd).

Although we don't know the term position of 389, we can still plug it into the formula and solving for n will reveal it's term number and the total number of sums in the sequence:

[tex]389=-3+(n-1)*4\\392=(n-1)*4\\392=4n-4\\396=4n\\99=n[/tex]

Now, we can find the sum using the sum formula, which is

[tex]S_{n}=n/2*(a_{1}+a_{n})[/tex]

Sn can become S99 since there are 99 terms and we can let an = a99, which we know is 389.

Now, we must solve for S99:

[tex]S_{99}=\frac{99}{2}*(-3+389)\\ S_{99}=\frac{99}{2}*(386)\\ S_{99}=19107[/tex]

The area of the triangle is approximately 1.987 square units.

The properties of the triangle are: The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

Using sin rule of a triangle,

[tex]\frac{Sin A}{a} = \frac{Sin C}{c} = \frac{Sin B}{b}[/tex]

In our case,

[tex]\frac{Sin 18}{1.6} = \frac{Sin Q}{4.2} = \frac{Sin P}{QR}[/tex]

From equation 1

[tex]\frac{Sin 18}{1.6} = \frac{Sin Q}{4.2} \\\frac{(Sin 18)*4.2}{1.6} = {Sin Q}\\Sin \ Q =21/8* sin\ 18\\[/tex]

Thus,

∠Q = 125.79 degrees

since sum of all angles is 180 degrees

so,

∠P = 180-125.79-18

∠P = 36.21

So From the equation 1

[tex]\frac{Sin 18}{1.6} = \frac{Sin P}{QR}\\\frac{Sin 18}{1.6} = \frac{Sin 36.2}{QR}\\QR = \frac{Sin 36.2}{\frac{Sin 18}{1.6}}[/tex]

QR = 3.06 cm

To find the area of the triangle, we can use Heron's formula:

Area = √(s(s-a)(s-b)(s-c))

where a, b, and c are the side lengths and s is the semi perimeter:

s = (a + b + c)/2

Plugging in the values we get:

s = (4.2 + 1.6 + 3.052)/2

s ≈ 4.426

Now we can use Heron's formula:

Area = √(4.426(4.426-4.2)(4.426-1.6)(4.426-3.052))

Using a calculator, we find:

Area ≈ 1.987 square units

Therefore, the area of the triangle is approximately 1.987 square units.

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Complete question:

The diagram shows triangle PQR, PR =  4.2 cm, PQ = 1.6 cm Given that angle PQR is obtuse triangle, work out the area of triangle PQR Give your answer correct to 3 significant figures. Angle PRQ = 18° Diagram NOT accurately drawn​

The triangle AEC is similar to triangle BDC.

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given:

5. ΔAEC is a triangle.

Assuming BD is parallel to AE.

The ratio of the corresponding sides,

10/5 = 2

8/4 = 2

The ratio is constant.

A similar triangle is made by drawing a line parallel to one of the triangle's sides.

Therefore, triangle AEC ~ triangle BDC.

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Using the roots of the given equation, x²+x-6=0, the value of the expression, 2β²-3α², is -19

From the question, we are to evaluate the given expression.

In order, to evaluate the expression, we will solve the given quadratic equation

To solve x²+x-6=0, we can use factoring method

Solving the equation

x² + x - 6 = 0

(x + 3)(x - 2) = 0

Setting each factor equal to zero, we get:

x + 3 = 0 or x - 2 = 0

Solving for x in each case, we get:

x = -3 or x = 2

So the solutions to the equation are x=-3 and x=2.

Since α<β

Thus,

α = -3 and β = 2

Then,

2β²-3α²

= 2(2)² -3(-3)²

= 2(4) -3(9)

= 8 - 27

= -19

Hence, the value is -9

Here is the correct question:

If α and β are the roots of the equation x²+x-6=0, where α<β, evaluate 2β²-3α²

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Answer: The correct answer is yes, he brought enough money to get into the park.

Step-by-step explanation:

Well, let's analyze the information provided:

Admission to the amusement park for 8 students is $ 100. If each student agreed to share of cost equally, it means that we must divide those 100, for each of those students.

Therefore it will remain 100/8 = 12.5

If each student must pay 12.5, and Noah brought $ 13, that means he will have enough money to enter the park, and he will even have $ 0.50 left over.

We can write the diameter and circumference of the base as -

D = 2√(750ρ/πh)

C = 2π√(750ρ/πh)

A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.

Mathematically, we can write,

y = f(x) = ax + b.

Given is to find the diameter and height of the tin can.

Assume the density of coffee as {ρ}. We can write the volume of the tin can as -

Volume = mass x density

Volume = 750ρ

We can write -

πr²h = 750ρ

r = √(750ρ/πh)

D = 2r

D = 2√(750ρ/πh)

Now, we can write the circumference as -

C = 2πr

C = 2π√(750ρ/πh)

Therefore, we can write the diameter and circumference of the base as -

D = 2√(750ρ/πh)

C = 2π√(750ρ/πh)

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Answer:wth

uhhhhh 5 -7 -8 5

Step-by-step explanation: