-6x - 42= –10x + 62
X =

Tests are frequently used to initially determine and assess potential worker safety and health issues.

The following factors are essential to a good workplace safety and health program: Leadership and management commitment. Accountability. Concern for safety.

An idea or rule that directs behaviors, processes, or tools with the goal of reducing the possibility or incidence of harm to people, property, or the environment.

In order to protect people's bodily, mental, and material health as well as the community's overall wellbeing, safety is the condition in which risks and circumstances that could cause harm are under control. It is a necessity for daily existence and is required by both individuals and communities in order to realize their objectives.

Workplace safety procedures are established practices that describe how to carry out duties with the least amount of danger to people, property, and working conditions. The processes cover work-related duties that deal with safety issues, safety gear, and work-area safety precautions.

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Since we have a direct variation, we can use the following equation:

where k is the constant of variation.

If we use the point (6,18), then, we have:

now that we have that the constant of variation is k = 3, we can use this information to find n:

therefore, n = -1

The exact value of cos^-1( √3/2) = 30°

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

There are special angles in trigonometry, this angles have exact value and can be obtained without using calculator. Examples of this calculator are; 30°, 60°, 45°

sin30 = 1/2

cos 30 = √3/2

tan 30 = 1/√3

cos 60 = 1/2

sin 60 = √3/2

tan 60 = √3

Therefore, if cos^-1( √3/2) = x

cos x = √3/2

cos 30 = √3/2

cos x = cos 30

therefore x = 30

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   The equation that defines the parabola with vertex at the origin and focus at (0, -4) is

y = -x²/16

We define what a parabola is

 The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.

  The canonical equation of a parabola is given by

(x - h)² = 4p(y - k)

   The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.

Since the vertex and the focal axis are on the same axis, we analyze that:

v = (0, 0)

f = (0, -4) This means that the focus is on the negative part of the y-axis, the form of the equation of this parabola is y = x²

(x - 0)² = 4p(y - 0)

Focus:

f = (0, 0 + p)

(x - 0)² = 4*-4(y - 0)

(x)² = 16(y)

y = -x²/16

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Step-by-step explanation:

A o option

-(-45)

hope it helps

the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4. To determine the minimum score needed to be in the top 7%, we need to use the properties of the normal distribution and the corresponding z-score.

First, we need to find the z-score that corresponds to the top 7%. This can be done by using the standard normal distribution table or a calculator with a normal distribution function. The z-score that corresponds to the top 7% is approximately 1.48.

Next, we can use the formula for transforming a z-score to a raw score:

raw score = z-score * standard deviation + mean    

Substituting the values given in the problem, we get:

raw score = 1.48 * 6.1 + 76.4

raw score = 85.48

Therefore, the minimum score needed to be in the top 7% is 85.48, which can be rounded to 85.4.

In conclusion, the minimum score needed to be in the top 7% is 85.4. This calculation was performed by finding the z-score that corresponds to the top 7%, and then transforming the z-score to a raw score using the mean and standard deviation of the distribution.

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Answer:

With the information provided, you can say that the total amount they spent together would be equal to the result of adding up the amount Emily spent plus the amount Lauren spent, which would be:

Amount Emily spent: $4.53

Amount Lauren spent: d

The expression is:

x=4.53+d, where:

x is the amount they spent together

d is the amount Lauren spent

Answer:

46

Step-by-step explanation:

This is the middle value in the data set.

Answer:

8-(-2)

minus,minus means magiging plus so,

8+2=10

Step-by-step explanation:

Mark me please

Answer:

0.7>0.54

Step-by-step explanation:

Answer:13.8 is the best answer i could get

Step-by-step explanation:1,077 multiply that × 13.8 =14,862

The flexible air-filled container has volume of -33 liter (A) at 20 meter in sea water.

At the surface, the pressure is 1 atm (atmosphere). As we go deeper into the sea, the pressure increases by 1 atm for every 10 meters. Therefore, at 20 meters, the pressure is 3 atm (1 atm at the surface + 2 atm for the 20 meters).

The relationship between pressure and volume is described by Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at a constant temperature. This means that as the pressure increases, the volume decreases, and vice versa.

Using Boyle's Law, we can calculate the volume at 20 meters:

P1V1 = P2V2

Where P1 is the initial pressure, V1 is the initial volume, P2 is the final pressure, and V2 is the final volume.

Plugging in the values:

(1 atm)(100 liter) = (3 atm)(V2)

Solving for V2:

V2 = (1 atm)(100 liter) / (3 atm)

V2 = 33.33 liter

Rounding off to the nearest whole number, the volume at 20 meters is 33 liter.

Therefore, the correct answer is A - 33 liter.

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Average speed for the whole journey = 53.67 miles per hour.

What is Speed?

A scalar quantity, speed is defined as the size of the change in an object's location over time or the size of the change in an object's position per unit of time.

The Average speed:-

"The average speed of any object is the total distance traveled by that object divided by the total time elapsed to cover the said distance".

= total distance/total time

According  to the Question

We have;

-------> ALEX drove for 3 hours at a rate of 60 miles per hour.

-------> and ALEX drove for 2 hours at a rate of 45 miles per hour.

We know that;

speed = distance/ time

Now we can write it as;

distance = speed *time

Consider the first statement of the Question;

-------> John drove for 3 hours at a rate of 60 miles per hour.

Here, speed = 60 miles per hour.

Time = 3 hours.

Putting in the above then we get;

distance = 60*3

distance =180

Consider the second statement of the Question;

-------> John drove for 2 hours at a rate of 45 miles per hour.

Here, speed = 45 miles per hour.

Time = 2 hours.

Putting in the above then we get;

distance = 45*2

distance =90

-----> Now find the Average speed of John.

We have;

The distance in the first part;

miles. at time 3 hours.

The distance in the second part;

miles. at time 2 hours.

We have;

The average speed = 53.67 miles per hour

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Answer:

D-11

Step-by-step explanation:

Answer:

11 is the answer on edge

Answer:

The pre image is a factor 2 bigger, and there fore it's endpoints a' and b' must also be a factor 2 further away from the center 2,0.

Step-by-step explanation:

This is a long explanation. I did my best to guide you through all the steps needed to answer the question, because it almost instantly happens in my mind. Writing down these "reasoning steps", hopefully can give you some insight in understanding what I am asking myself to finally solve the problem. I hope it helps you, and that you can learn from it.

The pre image is the original image, which is NOT visible. Because original image is not visible, that makes it a little tricky, because you have to "imagine" an image that is not there...

Please understand what is described:

The original was dilated at a scale factor of 1/2 from center 2,0 and that result is now visible as An, which has endpoints located at a and b.

So, the big "problem" is to understand what effect the dialated scale factor of 1/2 has, when it was applied to the ORIGINAL.

You ask yourself, was the original bigger or was the original smaller? If you CONCLUDE that the scaling factor 1/2 must result in a SMALLER image, then the original, then you can finally conclude that the original image must have been bigger to make that happen.

Ok, so the pre image was bigger...

How much bigger was the pre image, when you know a dialation scale factor of 1/2 was used to form the endpoints a and b...

Well, now you ask yourself, by what amount do you need to multiply the scale factor 1/2 to get to 2/2 (which is 1 by the way). You do this, because you want to know how big the original must have been, and the original can be "reconstructed" by "reversing" the dialation the other way around. In other words by what amount do you need to multiply the scale factor 1/2 to get to 2/2.

Since 2 * 1/2 = 1, then the original image can be formed from the given image by applying a dialation factor of 2.

So now we know that the original must have been BIGGER by a factor 2.

Finally, do not forget to mention that ORRIGINAL endpoints, a' and b', MUST also be a factor 2 further away from the center 2,0.

So now you have your answer. I hope it helps.

Answer:

17%

Step-by-step explanation:

5 out of 30 is 17%

5/30 = 5 ÷ 30 = .16.  rounds to .17 =17%

Given an angle that is positive, less than 360°, and coterminal with 395° is 35°.

Subtract 360° from 395°.

We know that 1 revolution is equal to 360°.

Therefore, a positive angle that is less than 360° and coterminal with 395° is 35°.

When an angle is less than 360° and shares the same terminal side with another angle that is less than 360°, then the angle is referred to as a coterminal angle.

In other words, the two angles have the same initial side and terminal side but can be either positive or negative.

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Answer:

5 nickels

Skills needed: Coins and Money

Step-by-step explanation:

1) We need to understand the different coins in the problem.

There is a nickel in the problem.

The problem states that:

- A nickel is \(\$0.05\) which is \(5 \text{ } cents\)

From above: A nickel is 5 cents.

2) After understanding the coin values, we need to understand what the problem is asking. It asks how many nickels Sam has if he has $0.25 (25 cents) in nickels.

---> In other words: How many nickels make up 25 CENTS?

- We can use division for that:

\(25 \text{ } cents \div 5 \text{ } cents = nickels\)

(The amount of money divided by the money value of a nickel will equal the number of nickels).

---> 25 divided by 5 is 5.

5 would be your answer.

The square root of 49/64 with its division is 7/8

The square root of a number is that number, that when multiplied by itself,  gives the desired output.

We can say p is the square root of the number q, if

q² = p

q = √p

From the given information, the square root of 49/64 is:

\(\mathbf{=\sqrt{\dfrac{49}{64}}}\)

\(\mathbf{=\dfrac{7}{8}}}\)

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The expression that can be added to both sides of the given quadratic equation to change it to a perfect square trinomial is \(\frac{b^2}{4a^2}\) .

The standard form of perfect square trinomial is given as:

\(ax^2 + bx + c\)

here,

a = coefficient of x² .

b = coefficient of x.

c = constant .

Given the quadratic equation:

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

The above equation is needed to be changed to a perfect square trinomial.

To change the quadratic equation into the perfect square, the squared of half the value of the coefficient of degree one variable can be added to both sides of the equation.

Therefore, the term to be that is needed to be added to the given quadratic equation is \(\frac{b^2}{4a^2}\) .

Now, the quadratic equation can be written as:

\(x^{2} + \frac{b}{a} x + \frac{ b^{2}}{4a^{2}} = \frac{-c}{a} + \frac{ b^{2}}{4a^{2}}\)

Therefore, \(\dfrac{b^2}{4a^2}\) should be added to both sides to convert it into the perfect polynomial.

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The given question is incomplete. Probably the complete question is:

When deriving the quadratic formula by completing the square what expression can be added to both sides of the given equation to create a perfect square trinomial?

\(x^2 + \dfrac{b}{a}x\ +\ ?= -\dfrac{c}{a}\ +\ ?\)

The interquartile range is 8.

To find the interquartile range (IQR) for a data set, we first need to find the first and third quartiles. The first quartile (Q1) is the median of the lower half of the data set, and the third quartile (Q3) is the median of the upper half of the data set.

To find Q1 and Q3 for this data set, we need to order the values from least to greatest:

17, 19, 21, 22, 23, 23, 26, 27, 28, 28, 29, 30, 31, 32, 34

The median of the entire data set is the value that is exactly in the middle, which in this case is 26. The median of the lower half of the data set (Q1) is the value that is exactly in the middle of that half, which is the average of 21 and 23, or 22. The median of the upper half of the data set (Q3) is the value that is exactly in the middle of that half, which is the average of 30 and 31, or 30.5.

To find the interquartile range, we subtract Q1 from Q3:

IQR = Q3 - Q1 = 30.5 - 22 = 8.5

Therefore, the answer is (c) 8.

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Answer:

141.75

Step-by-step explanation:

Since it is already rounded to the nearest hundredth, you don't need to do anything.

Step-by-step explanation:

☄ \( \underline{ \underline{ \large{ \tt{G\: I \: V\: E \: N}}}} : \)

☼ \( \underline{ \underline{ \large{ \tt{T\: O \: \: F \: I\: N \: D}}} }: \)

☃ \( \underline{ \underline{ \large{ \tt{S \: O \: L \: U\: T \: I\: O\: N}}}} : \)

☂ Using slope intercept form of equation of straight line , we get :

❆ \( \large{ \sf{y = mx + c}}\)

~Plug the known values !

⤑ \( \large\sf{y = \frac{6}{5} x + 1}\)

⤑ \( \large{ \sf{y = \frac{6x + 5}{5}}} \)

⤑ \( \large{ \sf{5y = 6x + 5}}\)

⤑ \( \large{ \tt{6x + 5 = 5y}}\)

⤑ \( \boxed{ \large{ \sf{6x - 5y + 5 = 0}}}\)

⚥ \( \boxed{ \boxed{ \large{ \tt{Our \: Final \:Answer : \underline{ \boxed{ \tt{6x - 5y + 5 = 0}}}}}}}\)

☏ \( \tt{THINGS \: TO \: REMEMBER} : \)

✄ STUDY TIP

♪ Hope I helped! ツ

♡ Have a wonderful day / night !

♕ \( \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}\) ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

Mr Lee would take home 9kg if you dont count Mr Lee and for Mrs. Scarlett it would be 6kg

Step-by-step explanation

Mr Lee has 6 people and Mrs Scarlett has 4 ppl, that's a total of 10 ppl. so you do 15kg/10=1.5kg. That's 1.5 kg each person. Mr Lee has 6 so 6*1.5= 9kg and Mrs Scarlett 4*1.5= 6kg

Answer:

<4= 45○

Step-by-step explanation:

Step by step explanation is found on pic.

Hope that Helps :)

Answer:

Hey Sweetheart!

z=4

4x4x4= 64

Hope this Helps!!!

Answer:

Yes you are correct.