John gets a new job and receives a $500 signing bonus. After that, he makes $200 per day.

What’s the Slope-Intercept Form of the equation is y =

The temperature at the summit of Ben Nevis, when the sea level temperature is 5°C is -15°C.

To work out the temperature at the summit of Ben Nevis, we can use the formula:

Temperature at summit = Sea level temperature - (Altitude above sea level / 100) ×Temperature change per 100 metres

We are given that the sea level temperature is 5°C and the height of Ben Nevis is 1300 metres above sea level, and the temperature decreases by 1°C for every 100 metres above sea level.

So, after putting the values into the formula:
Temperature at summit = 5 - (1300/100) × 1 = -15°C

Therefore, the temperature at the summit of Ben Nevis, when the sea level temperature is 5°C is -15°C

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Answer:

10.6

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

Where a and b = the legs and c = hypotenuse

We are given two legs and need to find the hypotenuse

Given:

Short leg (a) = 7

Long leg (b) = 8

Hypotenuse = c

Now to find the value of c we simply plug in the values of the variables into the Pythagorean theorem and solve for c

Pythagorean theorem: a² + b² = c²

a = 7, b = 8, c = c

Plug in values

7² + 8² = c²

Now solve for c

Simplify exponents

49 + 64 = c²

Add

113 = c²

Taking the square root of both sides

c = 10.6 ( rounded to the nearest tenth )

Answer:

c = 10.6

Step-by-step explanation:

\(h {}^{2} = p {}^{2} + b {}^{2} \\ c {}^{2} = (8) {}^{2} + (7) {}^{2} \\ c = \sqrt{64 + 49} \\ c = \sqrt{113} \\c = 10.6\)

Answer:

9/20 or 9:20 depending on how they want it written

Step-by-step explanation:

add pink and green cards [9] in relation to total cards [20]

Answer:

\(c = kw\)

Step-by-step explanation:

Given

c varies directly as w

Required

Write the equation

c varies directly as w.

Mathematically, this is represented as:

\(c\ \alpha\ w\)

Convert to equation.

\(c = kw\)

Where k is the constant of variation

Answer:

y = [-1/2x + 1]

The domain of g(x-6) is all real numbers x such that 5 < x < 17.

If the domain of the function g(x) is −7<x<5, then the domain represents all possible values of x for which the function is defined. To find the domain of the function g(x-6), we need to determine the set of values that x-6 can take while still remaining within the original domain of g(x).

Since the original domain of g(x) is −7<x<5, we can add or subtract any constant value to x and still remain within the domain. Therefore, we can write:

-7 < x < 5

-7 + 6 < x - 6 < 5 + 6

-1 < x - 6 < 11

Thus, the domain of the function g(x-6) is -1 < x - 6 < 11, or equivalently, 5 < x < 17.

Your complete Question is here:

Suppose the domain of the function g(x) is −7<x<5. What is the domain of the function g(x−6)?

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The rate of climb required in feet per minute is 490.

The Ground Speed = 140 Knots

The ground speed in minutes = 140/60

                                                   = 2.33 knots

Required speed is in feets per minutes so mulitply the knots with 210

Required Rate =  210 X 2.33

                         = 489.93

                         ≈ 490.

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The required number of ways to write 9 as sum of 1, 2, 4 is 96 ways.

An arrangement of items in a specific order is referred to as a permutation. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1.

Two fours and one one Three numbers must be added up. Any one of the three spaces will accept a one before fours are used to fill the remaining slots. There are thus 3 possible arrangements for these. Thus, there are

1 + 8 + 21 + 6 + 20 + 20 + 5 + 12 + 3 = 96 ways

Thus, there are 96 ways to write 9 as sum of 1, 2, 4.

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Answer:

12/6 simplified to lowest terms is 2/1.

Step-by-step explanation:

Divide both the numerator and denominator by the HCF

12 ÷ 6

6 ÷ 6

Reduced fraction:

12/6 simplified to lowest terms is 2/1.

Answer: 2:1

Step-by-step explanation:

12:6

Both left and right can be divided by 6, like a fraction, reduce.

= 2:1

Answer:

B

Step-by-step explanation:

You just need to multiply the first number by every number in the parantesis Take care bby :)))

Answer:

B

Step-by-step explanation:

B: 3x2x= 6x

   3x6y= 18y

   3x12=36

If there's more I apologize but that is all that I could find.

Answer:

$64,500:  Total cost for four years

Step-by-step explanation:

This problem involves an arithmetic progression in which the common difference is $750.  The first term is $15,000.  The general formula is then

a(n) = $15,000 + $750(n - 1)

Thus:

a(1) = $15,000

a(2) = $15,000 +$750 = $15,750

a(3) = $15,000 + 2($750) = $16,500

a(4) = $16,500 + $750 = $17,250

Summing up these costs, we get $64,500:  Total cost for four years

The total cost of tuition, books, and fees for this student when attending college for four years will be, $64651

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100.

Assuming that the annual increase of $750 per year is compounded each year.

we can use the formula for the future value of an annuity to calculate the total cost of tuition, books, and fees for the four years:

FV = PMT ((1 + r)ⁿ - 1) / r

Now, In this case, PMT = $15,000, r = 750/15000 = 0.05, and n = 4.

Plugging in these values, we get:

Total cost or FV = $15,000 x ((1 + 0.05)⁴ - 1) / 0.05

FV = $15,000 x(1.2155)-1)/0.05

FV = $15,000 x 0.2155/0.05

FV = $15,000 x4.31

FV = $64651

Hence, the total cost of tuition, books, and fees for this student when attending college for four years will be $64651

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Answer:

the one below the the circle one

The number of the seats within the 25th row is 227.

According to the statement

We have to seek out that the quantity of seats are within the twenty-fifth row of the left section.

So, For this purpose, we all know that the

According to the information:

The number of seats within the first row of the left section of the Ming-Sun Theater is 9.

As with the middle section, the amount of seats in each succeeding row is 2 over the row ahead of it.

From this information, the equation become to search out the seats is:

Number of seats within the given row(x) = 9x+2

And the number of seats is: Number of seats within the 25th row(25) = 9(25)+2

Number of seats within the 25th row(25) = 225+2

Number of seats within the 25th row(25) = 227.

So, The amount of the seats within the 25th row is 227.

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Answer:

1 and 7

2 and 8

Step-by-step explanation:

consecutive exterior angles theorem- a theorem stating that if parallel lines are cut by a transversal line, then consecutive exterior angles are supplementary. Like 1 and 7(they are both exterior angles); these angles are both right angles, so added together would make them a pair of supplementary angles.

supplementary angles- a pair of angles that add up to 180 degrees when added together.

I hope this helps

The values given: P(A2|E) = 0.50 * 0.8 / (0.36 * 0.2 + 0.50 * 0.8) = 0.4566 (rounded to four decimal places)

Events A1 and A2 are mutually exclusive and form a complete partition of the sample space S, which means that one of the events must happen and they cannot happen simultaneously.

P(A1) = 0.2 and P(A2) = 0.8, which means that the probability of event A1 happening is 0.2 and the probability of event A2 happening is 0.8.

P(E|A1) = 0.36 and P(E|A2) = 0.50, which means that the probability of event E happening given that event A1 happened is 0.36 and the probability of event E happening given that event A2 happened is 0.50.

We want to find P(A2|E), which is the probability of event A2 happening given that event E happened.

We can use Bayes' theorem to find this probability:

P(A2|E) = P(E|A2) * P(A2) / (P(E|A1) * P(A1) + P(E|A2) * P(A2))

Substituting the values given:

P(A2|E) = 0.50 * 0.8 / (0.36 * 0.2 + 0.50 * 0.8) = 0.4566 (rounded to four decimal places)

Therefore, the answer is (a) 0.4566.    

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Answer:

9hours

Step-by-step explanation:

The total temperature would be decreased by 18°C.

18/2 =9

Answer:

\(\huge\boxed{\sf s = 320}\)

Step-by-step explanation:

Given that,

\(s \propto t^2\)

Converting proportionality into equality and adding a constant.

s = kt² ----------------(1)

Given that, s = 80 when t = 4

Put in Eq. (1)

80 = k(4)²

80 = k(16)

Divide 16 to both sides

80/16 = k

5 = k

Now,

Put t = 8 in Eq. (1)

s = (5)(8)²

s = (5)(64)

\(\rule[225]{225}{2}\)

In a group of 150 students, 20 are freshmen 30 are sophomores 49 are juniors and 51 are seniors if a student is randomly selected the probability that we select a sophomore before freshmen is 2.69%.

So the given data we get from the question is as follows,

  Total number of students, N = 150

  A number of freshmen students, F = 20

  The number of sophomore students, S = 30

  Number of junior students, J = 49

  Number of senior students, R = 51

              We need to find the probability of selecting a sophomore student before a freshman student. The probability that a sophomore student is selected first,

             P(S) = Number of sophomore students/Total number of students

                    = S/N

   Probability that a freshman student is selected after a sophomore student,

          P(F|S) = Number of freshman students left/Total number of students left

                    = F/N-1

    Where N-1 is used because one student has already been selected.

     The probability that a sophomore student is selected first and then a freshman student is selected,

       P(S∩F) = P(S) × P(F|S)

                   = S/N × F/N-1

      Therefore, the probability of selecting a sophomore student before a freshman student is:

       P(S∩F) = S/N × F/N-1P(S∩F)

                   = 30/150 × 20/149P(S∩

                   = 0.0269 or 2.69%

      Therefore, the probability of selecting a sophomore student before a freshman student is 0.0269 or 2.69%.

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Answer:

not possible or not determined is answer

Step-by-step explanation:

because let his father be 33

ad his son be 17

15 years ago

son will be 2

and father will be 18

not possible father's age ≠son's age in any respect unless and until father's age is decreased

Answer:

727.5

Step-by-step explanation:

If Jarrod made 3 percent in commissions then y have to find what 97 percent of 750 is

The equation set up would be .97 times 750

750 times .97= 727.5

♡ The Question ♡      

A map of a trail in a park has a length of 4.5 centimeters from start to finish. The scale on the map states that 2 centimeters represents 3 kilometers.  

What is the actual length of the trail in kilometers?  

* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Answer ♡      

C) 6.75 kilometers!  

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ The Explanation/Step-By-Step ♡    

No Explanation/Step-By-Step provided!    

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*        

♡ Tips ♡        

-No tips provided!

The length of the actual trail is required in kilometers.

The actual length of the trail is C) 6.75 kilometers.

It is given that 2 centimeters on the map represents 3 kilometers of actual length.

\(2\ \text{centimeters}=3\ \text{kilometers}\)

We need to find what 1 centimeter on the map represents.

So, we divide both sides by 2.

\(\dfrac{2}{2}\ \text{centimeters}=\dfrac{3}{2}\ \text{kilometers}=1.5\ \text{kilometers}\)

The length of the trail is 4.5 centimeters in the map. So,

\(4.5\ \text{centimeters}=4.5\times 1.5=6.74\ \text{kilometers}\)

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Answer:

C) 80

Step-by-step explanation:

triangles always add up to 180 degrees, so 80+20=100 the missing angle is 80 degrees

The correct answer is option d. The theoretical Probability of spinning a multiple of 3 with one spin is 0.

The theoretical probability of an event, we need to identify the number of favorable outcomes (the desired event) and the total number of possible outcomes.

In this case, the event is spinning a multiple of 3 on the spinner. Let's examine the possible outcomes and identify the favorable outcomes:

Possible outcomes on the spinner: {1, 2, 3, 4, 5, 6}

Favorable outcomes (multiples of 3): {3, 6}

The total number of possible outcomes is 6, and the number of favorable outcomes is 2.

The theoretical probability of spinning a multiple of 3 can be calculated as:

P(multiple of 3) = (Number of favorable outcomes) / (Total number of possible outcomes)

P(multiple of 3) = 2 / 6

Simplifying the fraction, we get:

P(multiple of 3) = 1 / 3

Therefore, the correct answer is option d. The theoretical probability of spinning a multiple of 3 with one spin is 0.

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Answer:

m = -15/4

Step-by-step explanation:

Going from (-7, 14) to (8, 10), we see x increasing by 15 and y decreasing by 4.  Thus the slope of the line through these two points is

m = rise/run = 15/(-4), or m = -15/4

Answer:

Step-by-step explanation:

9/(-3)+6x2-7

9/-3 = -3,

6 x 2 = 12,

-3 + 12 = 9,

9-7 = 2

Answer:

2

Step-by-step explanation:

9/(-3)+6*2-7

-9/3+6*2-7     simplify 9/3 to 3

-3+6*2-7

-3+12-7

9-7

2

It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.

Non-exponential form:

To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.

Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.

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The percentage of adults who do not use the internet is different from 47%, we can check if the confidence interval includes the value of 47%. In this case, since the confidence interval does not include 47%, it suggests that the percentage of adults who do not use the internet is different from the 47% reported in the year 2000.

To construct a confidence interval estimate for the percentage of adults who do not use the internet, we can use the following formula:

Confidence Interval = Sample Proportion ± Margin of Error

First, we need to calculate the sample proportion of adults who do not use the internet. In this case, the sample proportion is given by:

Sample Proportion = (Number of adults who do not use the internet) / (Total sample size)

Sample Proportion = 755 / 5004 = 0.15074

Next, we calculate the standard error, which is the standard deviation of the sample proportion:

Standard Error = sqrt((Sample Proportion * (1 - Sample Proportion)) / Sample Size)

Standard Error = sqrt((0.15074 * (1 - 0.15074)) / 5004) = 0.00712

The margin of error can be determined using the desired confidence level and the standard error. For a 95% confidence level, the critical value is approximately 1.96 (z-value).

Margin of Error = 1.96 * Standard Error = 1.96 * 0.00712 = 0.01395

Now we can construct the confidence interval:

Confidence Interval = Sample Proportion ± Margin of Error

Confidence Interval = 0.15074 ± 0.01395

Confidence Interval = (0.13679, 0.16469)

The 95% confidence interval estimate for the percentage of adults who do not use the internet is (13.68%, 16.47%).

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