Question: 5 ( x +20)= 7x +30

12 is the ending value of sum.

Ending value of sum=?

x = scnr.nextInt();

sum = 0;

for (i = 0; i < x; ++i) {

currValue = scnr.nextInt();

sum += currValue;

}

Input provided to the code 2 5 7 3.

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At the end of the first 3 seconds, there would be 6 customers in line at the book store.

Little's Law can be used to calculate the number of customers in line at the end of the first 3 seconds. According to Little's Law: the average number of customers in the system is equal to the arrival rate multiplied by the time spent in the system.

In this case, the arrival rate during the first 3 seconds is 29 customers per second, and the time spent in the system is 3 seconds. Therefore the average number of customers in the system is 87 (29 customers per second x 3 seconds).

However since the bookstore can only serve 27 customers per second, the maximum number of customers that can be served during the first three seconds is 81 (27 customers per second x 3 seconds). This means that there are 6 customers who remain in line at the end of the first 3 seconds.

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The total number of different colorings possible are c)3120.So, correct option is c.

We know very well that Probability is the defined  as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We need to take care that each vertex of convex pentagon has been assigned a color.

We are given that we can choose 6 colors , and we need to take care that the ends of each diagonal must have different colors.

So, we need to try all different combinations,

Let PQRST are the vertex of the pentagon.

Let vertex P be any vertex, then vertex Q be one of the diagonal vertices to P, R be one of the diagonal vertices to Q, and so on. We consider cases for this problem.

In the case that,

R has the same color as P,

S has a different color from P

and so,

T has a different color from P and S.

In this case, the choices are

P = 6

Q = 5

R = 1

S = 5

T = 4

So, total number of combinations are =6 x 5 x 1 x 5 x 4 = 600 combinations.

Similarly, R has a different color from P and

S has a different color from P,

In this kind of situations,

P has 6 choices,

Q has 5 choices,

R has 4 choices

S has 4 choices,

and T has 4 choices,

So, total number of combinations  is

=> 6 x 5 x 4 x 4 x 4 = 1920

Next case,  R has a different color from P and S has the same color as P, So,

P has 6 choices,

Q has 5 choices,

R has 4 choices,

S has 1 choice, and

T has 5 choices,

=> total number of combinations=6 x 5 x 4 x 1 x 5 = 600

On Adding all those combinations up, we get

=> 600 + 1920 + 600 = 3120

Hence, total colorings are c)3120.

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(Complete question) is:

Each vertex of convex pentagon $ABCDE$ is to be assigned a color. There are $6$ colors to choose from, and the ends of each diagonal must have different colors. How many different colorings are possible?

A.2520 B.2880 C.3120 D.3250 E.3750

Answer:

D.

Step-by-step explanation:

If ABC is congruent to DEC 4x - 1 = x + 2

3x = 3

x = 1

The speed of the cheetah in km/h is 106.2 km/h (rounded to one decimal place).

To convert the speed of 29.5 m/s to km/h, we can use the conversion factor: 1 km = 1000 m and 1 h = 3600 s.

First, we need to convert meters per second to meters per hour by multiplying the speed by 3600 (the number of seconds in an hour):

29.5 m/s x 3600 s/h = 106,200 m/h

Next, we need to convert meters per hour to kilometers per hour by dividing the speed by 1000:

106,200 m/h ÷ 1000 = 106.2 km/h

Therefore, the cheetah was running at a speed of 106.2 km/h.

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Answer:

Step-by-step explanation:

Answer:

C. 81

Cause I did the math.

Answer:

81 or C.

Step-by-step explanation: i did the test

The perimeter of trapezium, is 0.92 meters. And 0.92 meters in millimeters is 920 mm. Therefore, option B is the answer.

Let's name the trapezium as ABCD.

AB= 0.41m

BD= 0.21m

CD= 0.18m

AC= 0.12m

∴ AB and CD are parallel sides and AC and BD are oblique sides.

The perimeter of trapezium = Sum of parallel sides + Sum of oblique sides

The perimeter of trapezium = (AB+CD) + (AC+BD)

                                                = (0.41+0.18) + (0.12+0.21)

                                                = 0.59 + 0.33

∴ The perimeter of trapezium ABCD = 0.92 meters.

Converting 0.92 meters into millimeters (mm)

0.92 × 1000 = 920 millimeters (mm)

Therefore, the perimeter of trapezium in millimeters is 920 mm.

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The probability that at least five spots will be showing up on the die is 1/3.

It is given that a professor rolls a fair, six-sided die.

We need to find the probability that at least five spots will be showing up on the die.

Total possible outcomes = {1,2,3,4,5,6}

Number of total outcomes = 6

At least five spots will be showing up on the die. So,

Favorable outcomes = {5,6}

Number of favorable outcomes = 2

Formula for probability:

Probability = \(\frac{Number of Favorable Outcomes}{Number of Total Outcomes}\)

On substituting Number of favorable outcomes and Number of total outcomes in the formula of Probability, we get

Probability = 2/6

Probability = 1/3

Therefore, the required probability is 1/3.

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\(\huge\text{Hey there!}\)

\(\rm{-2x + 4 > 8}\)

\(\large\textsf{SUBTRACT 4 to BOTH SIDES}\)

\(\rm{-2x + 4 - 4 > 8 - 4}\)

\(\large\textsf{CANCEL puts 4 - 4 because that gives you 0}\)

\(\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}\)

\(\rm{8 - 4 = \boxed{\bf 4}}\)

\(\rm{NEW\ EQUATION: -2x > 4}\)

\(\large\textsf{DIVIDE -2 to BOTH SIDES}\)

\(\mathsf{\dfrac{-2}{-2}>\dfrac{4}{-2}}\)

\(\mathsf{CANCEL\ out: \dfrac{-2}{-2}\ because\ that\ gives\ you\ 1}\)

\(\mathsf{KEEP: \dfrac{4}{-2} \ because \ it \ helps \you \ compare\ to \ the \ x-value }\)

\(\mathsf{\dfrac{4}{-2} = \boxed{\bf -2}}\)

\(\rm{\bold{x < -2 }}\)

\(\rm{It\ is \ an\ O PENED \ circle \ shaded \ to \ the \ left \ side \ of \ the \ number \ line}\)

\(\boxed{\boxed{\large\textsf{Answer: } \mathsf{\bf x < -2}}}\huge\checkmark\)

\(\large\text{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

slope = - 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (3, - 5)

m = \(\frac{-5-5}{3-(-2)}\) = \(\frac{-10}{3+2}\) = \(\frac{-10}{5}\) = - 2

\(\\ \sf\Rrightarrow \dfrac{15}{20}=\dfrac{21}{28}\)

\(\\ \sf\Rrightarrow \dfrac{1}{4}=\dfrac{1}{4}\)

Hence they are similar

#2

Hence both triangles are similar by SAS property

#3

\(\\ \sf\Rrightarrow ∆KDH\sim ∆ABD\)

Once you have the distance covered in the first 6.5 hours, you can divide it by 6.5 to calculate your average speed during that time interval.

To estimate your speed at 6.5 hours into the trip, you would need to know the distance covered during that time interval. The speed is calculated by dividing the distance traveled by the time taken.

To make an accurate estimate, you would need the following information:

Distance covered: You would need to know how far you have traveled in the first 6.5 hours of the trip. This could be obtained from a GPS device, odometer, or by referencing a map.

Time taken: You already know that it has been 6.5 hours into the trip.

Consistency of speed: It is assumed that your speed has remained relatively constant throughout the trip. If there were significant variations in speed, the estimate would be less accurate.

This estimate assumes that your speed has been consistent, without any major fluctuations. Keep in mind that this estimate represents your average speed over the given time period, and your actual speed at any specific moment during the trip could have been different.

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1. Cosx = 5/√(41)

2. An equation {tan(x) + cot(x)}/{tan(x)} =csc²(x)

Equations using trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.

Given:

1. tanx = -4/5

and tanx = perpendicular/adjacent leg

So, P = -4 and A = 5

So, H = √(-4)² + (5)²

H = √(41)

So, Cosx = 5/√(41)

2. A trigonometric identity,

{tan(x) + cot(x)}/{tan(x)}

Simplifying,

= {tan(x)/tan(x) + cot(x)/{1/tan(x)}

= 1 + cot²(x)

= csc²(x)

Therefore, Cosx = 5/√(41)

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Answer

Fill the 5 gallon jug.

Pour the 5 gallon jug into the 3 gallon jug.

Empty the 3 gallon jug and pour the remaining 2 gallons in the 3 gallon jug.

Fill the 5 gallon jug and pour 1 gallon into the 3 gallon jug (remember it will only take one gallon)

Viola the remaining 5 gallon jug will have exactly 4 gallons remaining.

Answer:

use 4/5 of the 5 gallon jar or 1 and 1/3 of the 3 gallon jar

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Plugin 12 for x

f(12)=4+2.5(12)

2.5 times 12=30

30+4=34

Answer:B

Step-by-step explanation:

Answer:

d if correct if wrong thank u

Answer:

85.49

Step-by-step explanation:

Absolute values are positive, just add.

The height of the building roof is 22 feet, the ball will not reach the top of the building.

To determine whether the ball will reach the top of the building, we need to find the maximum height of the ball & see if it is greater than or equal to the height of the building roof

The equation h = -16t^2 + 30t + 6 represents the height of the ball (in feet) as a function of time (in seconds). To find the maximum height, we need to find the vertex of the parabolic function h.

The vertex of the parabolic function h = -16t^2 + 30t + 6 can be found using the formula:-

t = -b/2a

where a = -16, b = 30, & c = 6.

So, t = -30/(2*(-16)) = 0.9375 seconds.

To find the maximum height, we need to substitute this value of t into the equation h = -16t^2 + 30t + 6:-

h = -16(0.9375)^2 + 30(0.9375) + 6

h = 18.5625 feet

Therefore, the maximum height of the ball is 18.5625 feet

Since the height of the building roof is 22 feet, the ball will not reach the top of the building.

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These forecasts illustrate bias.

Therefore, these forecasts illustrate bias.

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When using a one-way within-groups ANOVA, the variability due to individual differences is reduced, resulting in a more accurate assessment of the effect of the independent variable on the dependent variable.

To minimize the variation between individuals, their scores are evaluated within the same group rather than comparing them across different groups.

The within-groups ANOVA method utilizes identical individuals in different conditions or treatments to counteract personal variances, thereby enabling a more accurate measurement of the independent variable's impact.

By adopting this method, the analysis gains greater statistical strength, resulting in a more heightened aptitude to identify genuine effects of the independent factor on the dependent element.

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Answer:

I think it C if it not please don't report me

the discount will be 200 x 25% = 50

he will pay 150 for the cordless drill finally

The future value of the Investment after 9 months is $30,450.

The interest earned and the future value of the investment,  the formula for simple interest:

Interest = Principal x Rate x Time

(a) To calculate the interest earned, we substitute the given values into the formula:

Principal = $30,000

Rate = 2% = 0.02 (expressed as a decimal)

Time = 9 months

Interest = $30,000 x 0.02 x 9/12 = $450

Therefore, the interest earned on the investment is $450.

(b) To calculate the future value of the investment, the interest to the principal:

Future Value = Principal + Interest

Future Value = $30,000 + $450 = $30,450

Therefore, the future value of the investment after 9 months is $30,450.

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Bianca is the first to reach the finish line with her speed.

What is speed?

Alberto runs faster in the beginning of the race.

For the first hour of the race, Alberto keeps a 50 km/h pace.

Bianca's running pace is exponential in the meantime.

Bianca is the first to reach the finish line with her speed.

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Answer:  Initially,

Alberto

Albertostart  runs faster.

Alberto maintains a speed of

20km/h during the first hour of the race.

Meanwhile, Bianca's running speed is increasing

The first person to cross the finish line is Bianca

Step-by-step explanation:

Answer:

\(a_{73}=367\)

Step-by-step explanation:

\(a_n=a_1+(n-1)d\\a_{73}=7+(73-1)(5)\\a_{73}=7+(72)(5)\\a_{73}=7+360\\a_{73}=367\)