There are a few different workplaces in this career cluster. Select t
enjoyable. Check all that apply.
federal government offices, such as legislative offices, in Wash
state government offices in a state capital
city or municipal government offices
a US embassy in another country
multiple military installations throughout the world
an outdoor route, such as a Meter Reader's route or a Mail Carm
a constantly changing work environment due to frequent travel

Answer:

There are 4 pieces of lasagna left

Answer:

20 feet

Step-by-step explanation:

In this case, you'd use pythagoras's theorem (a^2 + b^2 = c^2)

The hypotenuse is always = c, so you'd set up the equation like this:

16^2 + 12^2 = c^2, where you're solving for c (to find out the length of the kite string)

This equation simplifies to 256 + 144 = c^2

which further simplifies to 400 = c^2

to solve for c, we square root both sides so the c is isolated:

\(\sqrt{400} = \sqrt{c}\)

20 = c

so the length of the kite string is 20 feet

The required length of the kite string will be 20 feet.

Pythagoras's theorem states that in a right-angled triangle, the square of one side is equal to the sum of the squares of the other two sides.

As per the question, we have to use Pythagoras's theorem

a² + b² = c²

Here hypotenuse = c,

Substitute the known values and we get

16² + 12² = c²,

Here c is the length of the kite string and simplifies the equation as:

256 + 144 = c²

c² = 400

c = √400

c = 20

Thus, the length of the kite string is 20 feet.

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Answer:

(- ∞, 7]  GIVE BRAINLIEST PLZ

Step-by-step explanation:

The equation from that word -5b > -35

Solve that and you get (- ∞, 7]

The consecutive numbers are 21 and 22.

Consecutive numbers are numbers that follow each other in order and they have a difference of 1 between every two numbers. 

We shall represent the consecutive numbers with n and (n + 1) so that:

3(n + 1) = 2n + 24 {open bracket}

3n + 3 = 2n + 24

3n - 2n = 24 - 3 {collect like terms}

n = 21

since the lesser number is 21, then the greater number is 21 + 1= 22.

Therefore, the two consecutive numbers such that 3 times the greater number exceeds twice the lesser by 24 are 21 and 22.

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Answer:

Step-by-step explanation:

poop

Answer:

b= √2ca /a

Step-by-step explanation:

it was a question on my test yesterday

Answer:

The practices were successful in increasing voter turnout among registered Republicans.

Step-by-step explanation:

The missing data is attached below.

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired t-test is used to determine whether the practices were successful in increasing voter turnout among registered Republicans.

The hypothesis for the test can be defined as follows:

H₀: The practices were not successful in increasing voter turnout among registered Republicans, i.e. d ≤ 0.

Hₐ: The practices were successful in increasing voter turnout among registered Republicans, i.e. d > 0.

Use Excel to perform the paired t-test.

Go to Data → Data Analysis → t-Test: Paired Two Sample for Means

A dialog box will open.

Select the variables.

Set the Hypothesized mean difference as 0.

Press OK.

The output is attached below.

The test statistic value is, t = 5.409.

The degrees of freedom is, df = 9.

The p-value for he one-tailed test is, p-value = 0.00021.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected.

The p-value of the test is very small for all the commonly used significance level. The null hypothesis will be rejected.

Thus, concluding that the practices were successful in increasing voter turnout among registered Republicans.

Answer:c

Step-by-step explanation:

the answer is c

Answer:

30

Step-by-step explanation:

24 - (-6)

Apply rule : -(-a) = a

Negative (-) times a negative (-) is positive (+).

24 + 6

= 30

Answer:

-6 is in parentheses because it is a negative number. this prevents the equation from looking like a too long subtraction sign (24--6); therefore it is written as 24 - (-6).

this simplifies to 24 + 6 = 30

to negatives = a positive

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

Our initial assumption that S is non-empty must be false. Therefore, for every x ε W, f(x) < x.

To prove the given statement, let's assume that (W, <) is a well-ordered set and f: WW is an increasing function. We need to show that f(x) < x for each x ε W.

Since (W, <) is a well-ordered set, every non-empty subset of W has a minimum element. Let's consider the set S = {x ∈ W | f(x) ≥ x}. Suppose S is non-empty.

By the well-ordered property of (W, <), S has a minimum element, let's call it a. Since a is the minimum element of S, it implies that for all x < a, f(x) < x, because if f(x) ≥ x for any x < a, then x would be an element of S smaller than a, contradicting the assumption that a is the minimum element of S.

Now, let's consider f(a). Since f is an increasing function, f(a) ≥ f(x) for all x < a. But we also know that f(x) < x for all x < a. Combining these two inequalities, we get f(a) < x for all x < a, which means f(a) is an element of S smaller than a, contradicting the assumption that a is the minimum element of S.

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Answer:

\(\displaystyle y=\frac{1}{2}x-2\)

The point-slope form is represented with the formula:

\(y-y_1=m(x-x_1)\)

We are given a point \((x_1, y_1)\) and a slope: \(\displaystyle \frac{1}{2}\).

We are asked to solve this equation in slope-intercept form, which is:

\(y=mx+b\)

Givens

\(x_1: 10\\\\y_1: 3\\\\\displaystyle m: \frac{1}{2}\)

To solve:

1. Substitute the givens into the point-slope form equation:

\(y-y_1=m(x-x_1)\\\\\displaystyle y-3=\frac{1}{2}(x-10)\)

2. Simplify by using the distributive property, which states:

\(a(b+c)=ab+ac\)

\(\displaystyle y-3=\frac{1}{2}x-5\)

3. Simplify further by combining like terms:

\(\displaystyle y-3+3=\frac{1}{2}x-5+3\\\\\displaystyle y=\frac{1}{2}x-2\)

The final answer in slope-intercept form is:

\(\large \boxed{\displaystyle y=\frac{1}{2}x-2}\)

Answer:

y = 1/2x - 2

Step-by-step explanation:

Step 1:

y = mx + b      Slope Intercept Form

Step 2:

y = 1/2x + b          Equation

Step 3:

3 = 1/2 ( 10 ) + b         Input x and y

Step 4:

3 = 5 + b         Multiply

Step 5:

3 - 5 = b      Subtract 5 on both sides

Step 6:

b = - 2

Answer:

y = 1/2x - 2

Hope This Helps :)

Answer:

mean is 18.5 (add all values ÷ total number of values)

median is 16( arrange scores in ascending order and start removing scores from both the sides, 2 scores and up in the middle which were 14,18 add them and divide by 2)

omission of 42 will make the median 14(I'm not sure about this answer)

If the water snake is initially 30 meters below the ground level and then climbs 20 meters upward, it will be 30 - 20 = 10 meters below the ground level. However, if it then slips down 10 meters, it will be 10 + 10 = 20 meters below the ground level.

Answer:10 Safety razors

Step-by-step explanation:

27-12=15

15/1.50=10

Answer:

Step-by-step explanation:

Well, since the length of a month can vary in the number of days, this answer can also vary.

For example, February is only 28 days long, while December is 31 days long.

That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back   July 19th of July 20th.

I hope this helps!

Answer:

The beam of light is moving along the shoreline at a velocity of approximately 196 kilometers per second.

Step-by-step explanation:

The statement is described geometrically in the image attached below by means of a right triangle. All variables are described below:

\(OP\) - Minimum distance between lighthouse and the straight shoreline, in kilometers.

\(PP'\) - Distance along the straight shoreline, in kilometers.

\(\theta\) - Angle of rotation of the lighthouse, in sexagesimal degrees.

To find the rate of change of distance along the straight shoreline (\(\frac{dPP'}{dt}\)), in kilometers per minute, we use the following trigonometric relationship:

\(PP' = OP \cdot \tan \theta\) (1)

Then, we differentiate this expression in time:

\(\frac{dPP'}{dt} = OP\cdot \dot \theta \cdot \sec^{2}\theta\) (2)

Where \(\dot \theta\) is the rate of change of the angle of rotation of the lighthouse, in radians per minute.

The angle at the given instant is calculated by (1): \(OP = 5\,km\), \(PP' = 1\,km\)

\(\theta = \tan^{-1} \left(\frac{PP'}{OP} \right)\)

\(\theta \approx 11.310^{\circ}\)

If we know that \(\dot \theta = 37.699\,\frac{rad}{min}\), \(\theta \approx 11.310^{\circ}\) and \(OP = 5\,km\), then the rate of change is:

\(\frac{dPP'}{dt} \approx 196,035\,\frac{km}{min}\)

The beam of light is moving along the shoreline at a velocity of approximately 196 kilometers per second.

Using a fraction bar, a colon symbol, and the word "to" are three ways to find the ratio.

Here x and y are comparisons of data. For suppose if x is five and y are 10, then the ratio will be 5/10.

The ratio of 5 inches to 2 feet can be written as 5:2, this can be also written in a fraction bar i.e.5/2.

For example, the ratio of 5 students :1 class for this is written as 5to1.

To solve the ratios we follow the following few steps:

The ratio of can be written in two ways:

1.16/20=4:5

2.16:20

The number 50 has a ratio of 5:1 to the number 10.

5/1=x/10

so x=50.

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Final Answer: \(3x + 12\)

Steps/Reasons/Explanation:

Question: Simplify the expression \(5x + 6(x - 2) - 8(x - 3)\).

Step 1: Expand by distributing terms.

\(5x + 6x - 12 - 8(x - 3)\)

Step 2: Expand by distributing terms.

\(5x + 6x - 12 - (8x - 24)\)

Step 3: Remove parentheses.

\(5x + 6x - 12 - 8x + 24\)

Step 4: Collect like terms.

\((5x + 6x - 8x) + (-12 + 24)\)

Step 5: Simplify.

\(3x + 12\)

~I hope I helped you :)~

I hate math

First thing's first, PEMDAS. There's nothing to solve in the parenthesis, and there are no exponents, so use multiplication next. 6 • (x-2) and -8 • (x-3)

Your equation after should be

5x + 6x - 12 - 8x + 24

Next would be addition, don't forget it's always left to right.

11x - 12 - 8x + 24

Subtract twelve from the total (or in this case just from 24, and then add the remaining values (that are possible).

11x - 8x + 12

Next, subtract the two remaining x values.

3x + 12

And there you have it. Easy peasy.

If the case is trying to find x, just solve it like this.

3x = -12

x = 4

The value of the given summation is:

\(\sum (29a_i - 13b_i) ]= -30\)

Here we know that the sums are:

\(\sum a_i = -10\\\\\sum b_i = -20\)

And we want to find the value of the sum:

\(\sum (29a_i - 13b_i)\)

First we can distribute the sum to get:

\(\sum 29a_i + \sum - 13b_i\)

And take the coefficients out of the sum:

\(29\sum a_i -13\sum b_i\)

Now replace the known values:

\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)

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Answer:

6/24 is 25 percent......  so 25% of his apples are bad

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

6 is the number of apples bad

That means that 6/24 of them were bad apples

6/24=1/4 since you divide by 6 on numerator and denominator

1/4 can be expressed as 25%

After 17 repetitions, it will take the new warehouse robot 6 seconds to learn

A learning curve is a mathematical notion that illustrates visually how a process improves with practice and learning over time.

According to the learning curve idea, tasks will demand less time and resources as they are carried out more frequently due to the proficiency that is acquired when the procedure is learnt.

The learning curve, which is used to gauge output effectiveness and project costs, was initially introduced by psychologist Hermann Ebbinghaus in 1885.

Learning curve is solved by the formula

y = ab^x

where

the starting = a

the base (rate) = b

the exponents = x

Considering the given problem,

f(x) = 275(0.8)^17

=  6.192449

= 6 seconds

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Answer:

Step-by-step explanation:

​(a) What proportion of​ 18- to​ 34-year-old respondents are more likely to buy when made in their​ country? What proportion of​ 35- to​ 44-year-old respondents are more likely to buy when made in their​ country?

The proportion of​ 18- to​ 34-year-old respondents is

0.66

The proportion of​ 35- to​ 44-year-old respondents is

0.56

(b) What age group has the greatest proportion who are more likely to buy when made in their country?

18-34 yrs

(c) Which age group has a majority of respondents who are less likely to buy when made in their country?

55+

(d) What is the apparent association between age and likelihood to buy when made in their country?

As age decreases, the likelihood to buy homegrown increases

The equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

According to the question,

We have the following information:

Slope of the line = 1/3

We know that the slope of the line is denoted by m.

y-intercept of the line = -1

We know that the y-intercept is denoted by b.

We have the following equation for the line in slope-intercept form:

y = mx+b

Putting the above values in this equation:

y = x/3-1

Hence, the equation of the line with slope 1/3 and y-intercept as -1 is y = x/3-1 in slope-intercept form.

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The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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The inverse of the the matrix A is  |1/8 0 0 |

                                                          |0 1/8 0 |

                                                          |0 0 1/8|

To find the inverse of the matrix by using Cayley-Hamilton Theorem, we need to find the characteristic polynomial of the matrix first.

The characteristic polynomial of the matrix A is given by:

|λ-1 0 0 |

|0 λ-1 -1 | = (λ - 1)^2 (λ - 2)

|0 -2 λ-4|

Next, we need to evaluate the inverse of A using the Cayley-Hamilton Theorem, which states that a matrix A satisfies its own characteristic polynomial.

That is,

A^3 - 7A^2 + 14A - 8I = 0

Multiplying both sides by A^(-1), we get

A^2 - 7A + 14I - 8A^(-1) = 0

Rearranging, we get

A^(-1) = 1/8(A^2 - 7A + 14I)

Substituting the matrix A, we get

A^(-1) = 1/8

|1 0 0| |1 0 0| |14 -7 0|

|0 1 1| x (-2 1 0) + |-4 2 0|

|0 -2 4| |0 -2 4| | 0 0 8|

= 1/8

|1 0 0|

|0 1 0|

|0 0 1|

Therefore, the inverse of the matrix A is

A^(-1) =

|1/8 0 0 |

|0 1/8 0 |

|0 0 1/8|

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Answer:

7 1/2

Step-by-step explanation:

2 1/2 ÷ 1/3

Change to an improper fraction

(2*1+2)/2 ÷ 1/3

5/2 ÷1/3

Copy dot flip

5/2 * 3/1

15/2

Change to a mixed number

7 1/2

Answer:

To solve this problem, we need to use the concept of distance, rate and time (D = R x T)

We know that the distance is 49 miles and the rate is 14 miles per hour.

We want to find the time T.

We can use the formula D = R x T, to find the time T:

T = D/R = 49 miles / 14 miles/hour = 3.5 hours

So it takes Nena 3.5 hours to ride from the city park to the nearby lake.

Now we know that she needs to arrive at the lake at 1:00 PM, so we have to work out what time she needs to leave the park. We can subtract the time T from the arrival time to find the departure time:

1:00 PM - 3.5 hours = 9:30 AM

Therefore, the latest Nena can leave the park in order to arrive at the lake at 1:00 PM is 9:30 AM

Answer:

1.44

Step-by-step explanation:

1.63-.19= 1.44

The correct equation is:  5/6 - 1/6 = 4/6

A number line is a visual representation of numbers, ordered from left to right, where each point on the line corresponds to a number. The number line can be used to represent a wide range of numbers, including integers, fractions, decimals, and even negative numbers.

On a basic number line, 0 is located in the center, with positive numbers to the right and negative numbers to the left. The numbers are usually evenly spaced, with tick marks or dots indicating each value. The distance between any two points on the number line represents the difference between the corresponding numbers.

According to question Option D is correct

This is because starting at 5/6 and ending at 1/6 involves moving in the negative direction on the number line. To find the distance between these two points, we need to subtract the smaller number (1/6) from the larger number (5/6).

So, 5/6 - 1/6 = 4/6, which simplifies to 2/3. This means that the distance between 5/6 and 1/6 on the number line is 2/3.

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