TRUE
The safety triangle tries to predict safety performance.
The accident triangle, also known as Heinrich's triangle or bird's triangle, is a theory of occupational injury prevention. Indicates the relationship between serious accidents, minor accidents, and near misses. The idea is that the fewer minor accidents, the fewer serious accidents.
The process safety triangle is used to illustrate the different actions that can lead to an accident. This tool has a bottom up flow where each layer can be thought of as a preventative measure to the layer above it.
One of the main purposes of the process safety triangle is to explain how unsafe actions can lead to serious accidents. The Process Safety Triangle is also used to visualize different layers of protection and redesign systems to ensure better preventive practices. The lowest level of unsafe actions is categorized as the primary metric. A leading indicator is a preventive action taken to prevent an incident from occurring. Dangerous behavior by employees. B. Not wearing personal protective equipment or missing a system layer of protection is a major cause of process safety incidents. The wider the base of the process safety triangle, the wider the top level. This triangle shows that the more unsafe your actions are, the more likely you are to die in a process safety incident.
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Use an appropriate half-angle formula to find the exact value of the expression. cos(22. 5°)
The value of given trigonometric value cos(22. 5°) is 0.387.
According to the statement
we have given that the trigonometric value and we have to find the exact value of that given value with the help of the half angle formula.
So, For this purpose, we know that the
The half angle formulas are used to find the exact values of the trigonometric ratios of the angles like 22.5°.
So,
The given value is :
cos(22. 5°)
Then the value of cos half angle formula is
[tex]cos (theta/2) = +- sqrt((1-cos theta) / 2)[/tex]
then
The value of θ/2 is 22.5 degree.
And θ is 22.5*2
θ = 45 degree
and cos 45 degree is 1/squareroot 2
And by this the value of given value become is
[tex]cos 22.5 = +\sqrt{((\sqrt{2} -1)/(2 \sqrt{2} )) } = + 0.3827[/tex]
So, The value of given trigonometric value cos(22. 5°) is 0.387.
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Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities. 48, 50, 54, 56, 63, 63, 64, 68, 74, 74, 79, 80 Notice that the temperatures are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary
Minimum:
Lower quartile:
Median:
Upper quartile:
Maximum:
Interquartile range:
The five number summary and interquartile range for the data-set is given by:
Minimum: 48Lower quartile: 54.Median: 63.5.Upper quartile: 74Maximum: 80.Interquartile range: 20What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.In this problem, we have that:
The minimum value is the smallest value, of 48.The maximum value is the smallest value, of 80.The data-set has even cardinality, hence the median is the mean of the middle elements, which are 63 and 64, hence the median is of 63.5.The first quartile is the median of the five elements of the first half, hence it is of 54.The third quartile is the median of the five elements of the second half, hence it is of 74.The IQR is the difference between the quartiles, hence 74 - 54 = 20.More can be learned about five number summaries at brainly.com/question/17110151
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Change
3
-
4
to a percent
Answer:
75%
Step-by-step explanation:
3/4 ie 75/100. .........edge
What is the image point of (-1, -8) after
the transformation ry=-x T4,-5?
Answer:
sheu7euw73u3hsusuuwueudhdhdhsjsjwiwuwuehehdggdhdue
Step-by-step explanation:
hzhsusududjdndjdhehhshshhdhdhdhdhdhdhdhdhbhdhdhhdhdhdudxbdhdhdhdhhshdhyehsuehduwhgduwhdydh
Jay received a holiday bonus in the amount of 66⅔% of his daily salary. Jay earns $300 each day. How much was his holiday bonus?
Answer: $200
Step-by-step explanation:
We will find 66⅔% of $300 to see how much Jay received. A percent divided by 100 becomes a decimal.
66⅔% / 100 ≈ 0.667
0.667 * $300 = $200
What equation represents a line that passes through points (-1,2) and (3,1)
4x - y = -6
X + 4y = 7
X - 4y = -9
4x + y = 2
Answer:
B.) x + 4y = 7
Step-by-step explanation:
(Step 1) ----------------------------------------------------------------------------------------------
To find the equation, we first need to find the slope using the point-slope form:
y₁ - y₂ = m(x₁ - x₂)
In this form, "m" represents the slope, "x₁" and "y₁" represent the values from the first point, and "x₂" and "y₂" represent the values from the second point.
Point 1: (-1, 2) Point 2: (3, 1)
x₁ = -1 x₂ = 3
y₁ = 2 y₂ = 1
y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form
2 - 1 = m(-1 - 3) <----- Insert values
1 = m(-4) <----- Subtract
-1/4 = m <----- Divide both sides by -4
(Step 2) ---------------------------------------------------------------------------------------------
The given equations are in the slope-intercept form. The general structure looks like this:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept. To find the y-intercept, you can plug the newfound slope and values from one point into the equation.
x = -1
y = 2
m = -1/4
y = mx + b <----- Slope-intercept form
2 = (-1/4)(-1) + b <----- Insert values
2 = 1/4 + b <----- Multiply -1/4 and -1
8/4 = 1/4 + b <----- Make common denominators
7/4 = b <----- Subtract both sides by 1/4
(Step 3) ---------------------------------------------------------------------------------------------
The equation in slope-intercept form is thus: y = -1/4x + 7/4.
While this equation is accurate, it seems that it must be slightly manipulated. Therefore, we need to alter this equation to look like one of the answer choices. For instance, we can multiply the entire equation by 4 to remove the denominator.
y = -1/4x + 7/4 <----- Equation
4y = -x + 7 <----- Multiply all terms by 4
x + 4y = 7 <----- Add "x" to both sides
1
14. The price of a sofa is Sx. A man buys the sofa on hire purchase according to the following terms:
a downpayment of 25 % and the remaining to be paid in monthly instalments over 30 months at a
simple interest rate of 12 % per annum. Given that his monthly instalment is $52, find the value of x.
Question The price of a sofa is Sx. A man buys the sofa on hire purchase according to the following terms:
a downpayment of 25 % and the remaining to be paid in monthly instalments over 30 months at a
simple interest rate of 12 % per annum. Given that his monthly instalment is $52, find the value of x.
A. 2
B. 1/3
C. 5
D. -3
Answer: 2
Step-by-step explanation:
[tex]y=\frac{1}{3}x^2 +2x+5 \longrightarrow \frac{dy}{dx}=\frac{2}{3}x+2[/tex]
Setting this equal to 0 yields [tex]x=-3[/tex].
When [tex]x=-3[/tex], [tex]y=2[/tex]
Answer:
A. 2Step-by-step explanation:
Given quadratic equation:
y = (1/3)x² + 2x + 5Its leading coefficient is positive, so it has minimum value at vertex.
The x-coordinate of the vertex is:
x = -b/(2a)Substitute the coefficients:
x = - 2/(2*1/3) = - 3Find the value of y at vertex:
y = (1/3)(-3)² + 2(- 3) + 5 = 3 - 6 + 5 = 2The matching answer choice is A.
Geometry: complete this proof, ASAP!!!
Answer:
1. Given
2. Triangle Interior Angle Sum Theorem
3. Substitution Property of Equality
4. Subtraction Property
5. Definition of Complementary Angles
A parent made x cupcakes for each of the 109 students in the fourth grade. Which expression could be used to determine the total number of cupcakes made?
109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade. This can be obtained by forming the algebraic expression for the given conditions.
Find the required expression:Algebraic expression is made up of numbers, operations and variables.Algebraic expression is true for all values of x. For example, 2x, 5x + 9 etc.
Given that,
A parent made x cupcakes for each of the 109 students in the fourth grade.
The total number of students in the class = 109
The number of cupcakes one student gets = 1 × x = x
⇒ The number of cupcakes 109 student gets = 109 × x = 109x
Hence 109x is the expression that could be used to determine the total number of cupcakes made given that a parent made x cupcakes for each of the 109 students in the fourth grade.
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What is the equation of the vertical asymptote of g(x)=4log2(x−2) 5 ? enter your answer in the box.
The equation of the vertical asymptote of the function [tex]g(x)=4log_{2} (x-2)+5[/tex] is x=2.
What is vertical asymptote of a function?Vertical asymptotes are vertical lines that represent the zeros of a rational function's denominator. Asymptotes can also occur in other situations, such as logarithms. It occurs at the x-value that is outside the domain of the function, therefore the graph can never cross it.
How to find vertical asymptotes from graph?There may be a vertical asymptote along the vertical line if a portion of the graph is about to turn vertical. At the point of x along which you discovered the vertical asymptote, the function's value changes to either ∞ or -∞. A vertical asymptote, however, must never touch the graph.
Graph the function [tex]g(x)=4log_{2} (x-2)+5[/tex]
(x,y)= (3,5), (4,9), (6,13)
From graph we can see that the graph is turning to be vertical from x=2. So, the equation of vertical asymptote of the function is x=2.
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The complete question is:
“What is the equation of the vertical asymptote of [tex]g(x)=4log_{2} (x-2)+5[/tex]? enter your answer in the box.”
Find the area of the shaded region if the dimensions of the unshaded region are 18ft x 22ft . use 3.14 for π as necessary.
The area of the shaded region in the given image is: 1,111.84 ft²
How to Find the Area of a Shaded Region?To find the area of the shaded region in the image given, find the areas of the unshaded region, then subtract it from the total area of the whole figure.
Area of the total figure = area of two semicircles + area of the rectangle.
Dimensions of the rectangle is given as, 18ft x 22ft.
Area of the rectangle = 18ft × 22ft = 396 ft²
The diameter of each of the semicircle = 7 + 7 + 18 = 32 ft
The radius of each of the semicircle = 1/2(32) = 16 ft
Area of the two semicircles = 2(1/2 × πr²) = 2(1/2 × 3.14 × 16²)
Area of the two semicircles = 803.84 ft²
Area of the rectangle = 32 × 22 = 704 ft²
The total area = 704 + 803.84
The total area = 1,507.84 ft²
The area of the shaded region = 1,507.84 - 396
The area of the shaded region = 1,111.84 ft²
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The length of a rectangle is a inches. Its width is 5 inches less then the length. Find the area and perimeter of the rectangle
Answer:
Area = (a² -5a) in²
Perimeter = (4a -10) in
Step-by-step explanation:
Let the length of the rectangle be a.
Given that, its width is 5 in less than the length.
So,
length ⇒ a
width ⇒ (a - 5)
First, let's find the area of the rectangle.
Area = length × width
Area = a ( a - 5 )
Solve the brackets.
Area = (a² -5a) in²
Now, let us find the perimeter of the rectangle.
Perimeter = 2 ( l + w )
Perimeter = 2 ( a + a - 5 )
Perimeter = 2 ( 2a - 5 )
Perimeter = (4a -10) in
Find the radius of a circle with
circumference of 23.55 feet.
Use 3.14 for í.
Hint: C = 2πr
radius = [?] feet please explain your answer so I can understand how to do the rest
Answer:
r = 3.75
Step-by-step explanation:
C = 2(pi)r (write equation)
r = c / 2pi (rearrange for r)
r = 23.55 / 2(3.14) (plug in variables)
r = 23.55 / 6.28 (simplify)
r = 3.75 (solve)
Hurry show your work
Answer: [tex]\huge\boxed{\boxed{15}}[/tex]
Step-by-step explanation:
Given expression
[tex]\large\boxed{\frac{12[30 - (9+4^2)]}{|10|-|-6| } }[/tex]
Simplify the exponents
[tex]\large\boxed{=\frac{12[30 - (9+16)]}{|10|-|-6| } }[/tex]
Simplify values in the parenthesis
[tex]\large\boxed{=\frac{12[30 - 25]}{|10|-|-6| } }[/tex]
[tex]\large\boxed{=\frac{12[5]}{|10|-|-6| } }[/tex]
Simplify absolute values (all positive)
[tex]\large\boxed{=\frac{12[5]}{10-6 } }[/tex]
[tex]\large\boxed{=\frac{12[5]}{4 } }[/tex]
Simplify by division
[tex]\large\boxed{=3~[5]}[/tex]
Simplify by multiplication
[tex]\huge\boxed{\boxed{=15}}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
what is the modal letter in 'constitution'
What is the scale factor of the dilation shown ?
Work Shown:
k = scale factor
k = (A'B')/(AB)
k = 8/12
k = (4*2)/(4*3)
k = 2/3
Triangle A'B'C' (image) has side lengths that are 2/3 as long compared to the side lengths of triangle ABC (preimage).
Evaluate 3(x-4) + 2x - x² for x = 3.
A. -6
B. 6
C. 2
D. -2
Answer:
A) -6
Step-by-step explanation:
its just by substituting 3 in place of x
3(3-4)+2(3)-(3)²
3(-1)+6-9
-3+(-3)= -6
pls gimme brailiest if it helped :)
Answer:
A. -6
Step-by-step explanation:
3(x-4) + 2x - x²
Evaluate
Let x =3
Substitute into the expression
3( 3-4) +2(3) - 3^2
Parentheses first
3( -1) +2(3) - 3^2
Exponents next
3( -1) +2(3) - 9
Multiply
-3 +6 -9
Add and subtract
-6
A simple random sample of size 30 is drawn from a population of size 200. if the population mean is 57 and the population standard deviation is 6, what is the standard error of the mean?
Answer:
1.0954.
Step-by-step explanation:
Standard error = std dev / √n
= 6 / √30
= 1.0954.
Olivia Sells 1/8 ton of copper to recycle♻️. The recycler pays $4 per pound. How much money in dollars, does the recycler pays Olivia for her copper?
The total amount the recycler pays Olivia is $1000.
What is the total amount Olivia is paid?The weight of the copper is expressed as a fraction A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.
There is a need to convert tons to pounds:
1 ton = 2000 pounds
1/8 x 2000 = 250 pounds
The total amount that the recycler pays can be determined by multiplying the total pounds by cost per pound.
Total cost = cost per pound x total pound
250 x $4 = $1000
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Pls answer question 8
Step-by-step explanation:
step 1: multiply [tex]2^m[/tex] by [tex]3^n[/tex]
2 × 3 = 6
to times power you must add them
eg: [tex]x^3[/tex] × [tex]x^4[/tex]3+4=7=[tex]x^7[/tex][tex]2^m[/tex] × [tex]3^n[/tex] = [tex]6^{m+n}[/tex]
step 2: rearrange
[tex]6^{m+n}[/tex] = 108
can you do this step by yourself
Three hens lay 3 eggs any 3 days. in how many days will 3n hens lay at this rate 9nk eggs
Answer: is 48 eggs .
Step-by-step explanation:
3 hens gives 3 eggs in 3 days
Therefore , 1 gives 1 egg in 3 days
So
3days = 1egg
After that 12 days\/3 times = 4 eggs (in 12 times )
So 1 hen offers 4 eggs in 12 days after that
12 hens x 4 eggs = 48 eggs (in 12 days by 12 hens)
The booster club sold 36,276 tickets on Friday, 34,012 tickets on Saturday, and 29,879 tickets on Sunday. If you were going to find out how many fewer tickets were sold on Sunday than Saturday, which operation would you perform?
Answer:subtraction
Step-by-step explanation: to find out how many fewer tickets were sold on Sunday you would need to subtract 34012 by 29879. The solution would be how many fewer tickets were sold on Sunday compared to Saturday.
Show why x - 3 is a factor of m(x) = x³ x² - 5x - 3.
Answer:
If m(x) = x^3 - x^2 - 5x - 3 then x - 3 is a factor.
Step-by-step explanation:
By the Factor Theorem if (x - a) is a factor of f(x) then f(a) = 0.
m(x) = x^3 - x^2 - 5x - 3
m(3) = 27 - 9 - 15 - 3 = 0
- so x - 3 is a factor
AB is tangent to ⊙C at point B and AD is tangent to ⊙C at point D.
Circle C is shown. Line segments C B and C D are radii. Line segments B A and D A are tangents to circle C. Angle B C D is 124 degrees.
What is m∠A?
34°
62°
56°
124°
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
As you can see in the quadrilateral ABCD, the two angles measure 90° (as they are tangents to circle c) and one of them is given 124°
we need to find the Angle BAD : let it be x ~
By angle sum property of Quadrilaterals,
[tex]\qquad \sf \dashrightarrow \: 90 + 90 + 124 + x = 360[/tex]
[tex]\qquad \sf \dashrightarrow \: x+30 4 = 360[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 360 - 304[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 56 \degree[/tex]
Hence, Angle m A = 56°
Answer: c
Step-by-step explanation:
Question 1 of 10
Which expression is the simplest form of - (3x³ + x²) +2 (x³ - 4x²)?
OA.-2³-32²
OB.-2³-92²
O C. 5x³-7x2²
OD. 52³-82²
SUBMIT
Answer:
B. -x³ - 9x².
Step-by-step explanation:
- (3x³ + x²) +2 (x³ - 4x²)
= -3x³ + 2x³ - x² - 8x²
= -x³ - 9x²
Answer: [tex]\Large\boxed{-x^3-9x^2}[/tex]
Hi there! By my calculation, I got the answer above. However, it doesn't fit any one of the answer choices. I am not sure if I am totally correct, but I have been double-checking my answers. Please let me know whether it's the answer choices mistaken or I am wrong so that I could modify my answer if necessary.
Step-by-step explanation:
Given expression
- (3x³ + x²) +2 (x³ - 4x²)
Expand parenthesis by the distributive property
= -3x³ - x² + 2x³ - 8x²
Combine like terms
= -3x³ + 2x³ - x² - 8x²
[tex]\Large\boxed{=-x^3-9x^2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
A construction worker is pouring concrete stairs. The first step requires 1.7 cubic feet of concrete, and the first 4 steps require a total of 17 cubic feet. If the steps follow an arithmetic series, how much concrete is required for the first 12 steps
Based on the given parameters of a = 1.7 cubic feet and concrete for first 4 steps as 17 cubic feet, the concrete is required for the first 12 steps is 132.6 cubic feet
Arithmetic progressionFirst term, a = 1.7 cubic feetSum of first four terms = 17 cubic feetSn = n/2 {2a + (n - 1) d}
17 = 4/2{2×1.7 + (4 - 1)d}
17 = 2{3.4 + (3)d}
17 = 2(3.4 + 3d)
17 = 6.8 + 6d
17 - 6.8 = 6d
10.2 = 6d
d = 10.2/6
Common difference, d = 1.7Concrete required for first 12 steps;
Sn = n/2 {2a + (n - 1) d}
= 12/2{2×1.7 + (12-1)1.7}
= 6{3.4 + (11) 1.7}
= 6(3.4 + 18.7)
= 6(22.1)
= 132.6
Concrete required for first 12 steps = 132.6 cubic feet
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Answer:
132.6 cubic feet
Step-by-step explanation:
A tire on sal's car makes 13 revolutions per second while traveling down the freeway. sal's tires are 2 ft in diameter, and there are 5,280 feet in 1 mile. how far does sal drive in 1 hour? round the answer to the nearest mile. a. 28 miles b. 56 miles c. 60 miles d. 111 miles
Compute the speed of the car:
[tex]\dfrac{2\pi\,\rm ft}{1\,\rm rev} \cdot \dfrac{13\,\rm rev}{1\,\rm s} \cdot \dfrac{1\,\rm mi}{5280\,\rm ft} \cdot \dfrac{3600\,\rm s}{1\,\rm h} = \dfrac{195\pi}{11} \dfrac{\rm mi}{\rm h} \approx 55.6919 \dfrac{\rm mi}{\rm h}[/tex]
So after 1 hour, Sal will have driven about 56 mi.
Can someone help ???????
At a concert for the band Algal Rhythms, 75% of the tickets were sold at the full price of $30. The remaining 25% of tickets were sold at a discounted price of $10. What was the average selling price of a ticket at the Algal Rhythms concert? Express your answer in dollars, rounded to the nearest cent.
The average selling price of a ticket at the Algal Rhythms concert is $25
How to determine the average selling price of a ticket at the Algal Rhythms concert?The given parameters are:
75% of the tickets were sold for $30.
The remaining 25% were sold for $10.
The average selling price of a ticket at the Algal Rhythms concert is calculated using
Average = Sum of (Price * Percentage)
So, we have
Average = 30 * 75% + 10 * 25%
Evaluate the expression
Average = 25
Hence, the average selling price of a ticket at the Algal Rhythms concert is $25
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