3 1/2 miles in 1/2 hour. What is your average speed?

Answer:

root 10, 3 root 10

Step-by-step explanation:

Let the length of the shorter side be x

Hence,

the length of the longer side= 3x

Length of the diagonal= 10 cm

We know that the sides of the triangle intersect at right angles...

Hence,

By using the pythagoreas property...

[tex] {x}^{2} + {(3x)}^{2} = {10}^{2} \\ {x}^{2} + 9 {x}^{2} = 100 \\ 10 {x}^{2} = 100 \\ {x}^{2} = 10 \\ x = \sqrt{10} [/tex]

Hence,

length of the shorter side=

[tex] \sqrt{10} [/tex]

The length of the longer side =

[tex]3 \sqrt{10} [/tex]

The following are the true statements regarding the disk and washer methods of integration:

a. The cross sections of a solid of revolution can be either washers or disks.

b. Examples of solids of revolution include the sphere, cone, and cylinder.

e. The washer method is appropriate in finding the volume of a solid obtained through the rotation of the region bounded by a function y = f(x) about the x-axis.

Disk method of integration: This method is appropriate in Calculus  for finding the volume of a solid obtained by revolving a region bound by a function, y = f (x) about the horizontal axis x. The method takes a slice of the solid perpendicular to the x-axis. The cross-section of the solid obtained by slicing it perpendicular to the x-axis will be a circular disk of radius f (x).

Washer method of integration: The washer method is appropriate for finding the volume of a solid obtained by revolving a region bound by a function, y = f (x), about a horizontal axis. The method involves taking a slice of the solid perpendicular to the x-axis. The cross-section of the solid obtained by slicing it perpendicular to the x-axis will be a circular washer with an inner radius of g (x) and an outer radius of f (x).

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Answer:

To solve this one, simply use the equation (600/2.5)=(x/1)

then solve for x. that will give you the speed in kilometers per hour

Answer:

240 mph

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Answer:

C. y = 0.22x + 17.4

Step-by-step explanation:

0.22x represents how much it's growing by. 17.4 represents the initial value.

y represents the final value.

Answer:

C. y= 0.22x + 17.4

Step-by-step explanation:

y= mx + b

0.22 million per year = m

17.4 = b

# of years = x

Total population = y

y= 0.22x + 17.4

Answer:

It really depends on the mouse so i will give a couple of mouses. By (average)

Step-by-step explanation:

House mouse: 0.68 oz  /Weight On Neptune: 0.77

Deer Mouse: 0.72 oz /Weight On Neptune: 0.82

African pygmy mouse: 0.42 oz /Weight On Neptune: 0.48

Wood mouse: 0.83 oz /Weight On Neptune: 0.94

Pachyuromys duprasi: 1.4 oz /Weight On Neptune: 1.59

Eurasian harvest mouse: 0.25 oz /Weight On Neptune: 0.28

White-footed mouse: 0.79 oz /Weight On Neptune: 0.90

Striped field mouse: 0.75 oz /Weight On Neptune: 0.85

the equation to find the weight of objects on neptune is

Weight On Neptune=[tex]\frac{Weight On Earth}{9.81m/sx^{2} }[/tex]x 11.15[tex]m/s^{2}[/tex]

Answer:

1. x=31

2. x=15

Step-by-step explanation:

1. (3x+31)+(2x-6) = 180 work it out and get 31

2. (3x)+(4x-15) = 90 work it out and get 15

Answer:

2 small notebooks and 4 large notebooks

Step-by-step explanation:

$8 × 2 = $16

$10 × 4 = $40

2 + 4 = 6

$40 + $16 = $56

Hope that helps.

Answer:

Less than

Step-by-step explanation:

0.36 is equal to 0.360

So if you substitute 0.36 by 0.360, it is easier to compare.

0.360 less than 0.361

Answer:

Less Than (<)

Step-by-step explanation:

The second number has a extra 0.001

Step-by-step explanation:

9^8/9^2 ➡ 9^8-2 = 9^6 to divide this expression we subtract the bottom number from the top number

5^2 × 5^3 ➡ 5^2×3 = 5^6 to multiply this expression we multiply the powers

Answer:

2) 531,441

3) 3,125

Step-by-step explanation:

75th Percentile = 45 means that 75% of the observations are values less than or equal to 45.

To calculate the 75th percentile, we arrange the observations in ascending order and find the value at which 75% of the data falls below. In this case, the 75th percentile is 45, indicating that 75% of the observations have values less than or equal to 45.

In other words, if we have a dataset with 100 observations, the 75th percentile value would be the value that separates the top 25% (from observation 76 to 100) from the bottom 75% (from observation 1 to 75), and that value is 45.

the statement "75th Percentile = 45" means that 75% of the observations in the dataset have values less than or equal to 45.

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Answer:

3.6 miles in 90 mins

Step-by-step explanation:

REMEMBER PROPORTIONS

SO IN THIS CASE THIS IS HOW YOU WRITE IT:

[tex]\frac{2 miles = 50 mins}{x=90 mins}[/tex]

So this means in 50 minutes he covered 2 miles and in 90 minutes she covered x miles.

To find x cross multiply :

2 miles * 90 = 180 and x * 50 = 50x

That means 180 = 50x

Divide both sides by 50:

[tex]\frac{180}{50}[/tex]=[tex]\frac{50x }{50}[/tex]

3.6 = x

180 divided by 50 is 3.6 and 50x divided by 50 is x.

THUS HE TRAVELLED 3.6 MILES IN 90 MINUTES.

HOPE IT REALLY HELPED

HAVE A GOOD NIGHT/DAY

Answer:

1 R1

Step-by-step explanation:

because 4 cant be fully divided by five so there has to be a remainder.

Based on the given data, we can calculate the control limits using 3-sigma for the diameter of the auto pistons.

a) The value of x is 155.56 mm (rounded to two decimal places).

b) The value of R is 4.44 mm (rounded to two decimal places).

c) Using 3-sigma, the Upper Control Limit (UCL) for the diameter is calculated as:

UCL = x + 3R = 155.56 + 34.44 = 156.93 mm (rounded to two decimal places)

The Lower Control Limit (LCL) for the diameter is calculated as:

LCL = x - 3R = 155.56 - 34.44 = 154.19 mm (rounded to two decimal places)

d) Using 3-sigma, the Upper Control Limit for the Range (UCLR) is calculated as:

UCLR = D4 * R = 2.115 * 4.44 = 7.89 mm (rounded to two decimal places)

The Lower Control Limit for the Range (LCLR) is always 0 in this case since negative ranges are not possible.

e) If the true diameter mean should be 155 mm, the new centerline (nominal line) would be 155 mm. In this case, the UCL and LCL would be calculated using 3-sigma as follows:

UCL = Nominal + 3R = 155 + 34.44 = 156.37 mm (rounded to two decimal places)

LCL = Nominal - 3R = 155 - 34.44 = 153.63 mm (rounded to two decimal places)

Please note that the control limits calculated using 3-sigma assume a normal distribution and the data follows the same pattern in the future.

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The complete question is:

What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R= 4.44 mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Upper Control Limit (UCL) = 156.93 mm (round your response to two decimal places). Lower Control Limit (LCL) = 154.19 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR)= 7.89 mm (round your response to two decimal places). Lower Control Limit (LCLR)= 0.99 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL and LCL? Upper Control Limit (UCL)= 156.37 mm (round your response to two decimal places). Lower Control Limit (LCL;)= 153.63 mm (round your response to two decimal places). Refer to Table 56.1-Factors for Computing Control Chart Limits (3 sigma) for this problem Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day 1 2 3 4 5 Mean x (mm) 150.9 153.2 153.6 153.5 154.6 Range R (mm) 4.0 4.8 4.1 4.8 4.5

We are to estimate the length of the Neptune which has an average distance of 4.5 × 10^9 km from the sun. The length of Neptune can be estimated using the circumference of its orbit.

We are given that Neptune is an average distance of 4.5 × 10^9 km from the sun. To estimate the length of Neptune, we can use the circumference of its orbit. The circumference of Neptune's orbit can be estimated using the formula;

Circumference (C) = 2πr

Where C is the circumference, r is the radius and π is a mathematical constant equal to 3.14.

Since we are given the average distance of Neptune from the sun, we can estimate the length of Neptune using the above formula.Substituting the values given into the formula;

Circumference (C) = 2πr = 2 × 3.14 × 4.5 × 10^9 kmC = 28.26 × 10^9 km

Hence, the circumference of Neptune's orbit is approximately 28.26 × 10^9 km. Since the circumference of a circle is equal to 2πr, we can estimate the radius of the orbit by dividing the circumference by 2π;

r = C / 2π = (28.26 × 10^9 km) / (2 × 3.14) = 4.50 × 10^9 km

Hence, the radius of Neptune's orbit is approximately 4.50 × 10^9 km.

Since Neptune's orbit is almost circular, its length can be estimated using the formula;

Length = 2πrLength = 2 × 3.14 × 4.5 × 10^9 kmLength = 28.26 × 10^9 km

Hence, the length of Neptune is approximately 28.26 × 10^9 km.

Therefore, we can estimate the length of Neptune using the circumference of its orbit which is approximately 28.26 × 10^9 km.

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Answer:

B

Step-by-step explanation:

Answer:

The largest digit to be placed on the blank in the 5_,310 to make it divisible by 6 is 9 to give 59,310

Step-by-step explanation:

The given question requires the digit to be placed in the space left blank in 5_,310 to make it divisible by 6

To answer the question, we note that given that 51,000, 54,000, 57,000, and 60,000 are divisible by 6, and that 310 is not divisible by 6, we have

1,310 is not divisible by 6, but 2,310 is divisible by 6

Therefore, the complete number will be 57,000 + 2,310 = 59,310 which gives;

59310/6 = 9,885

Therefore, the complete number is 59,310, and the required digit is 9.

Answer: true

Step-by-step explanation:

The total amount paid for the building is the sum of the amounts contributed by all three people: Total amount = D + L + C= 189576 + (189576 + 15489) + 249033= s/. 703674 , the total amount paid for the building is s/. 703674

In this problem, the amounts contributed by Luis and Cristian are unknown, and we have to find them using the given information. We also need to find out the total amount paid for the building. Let us use algebraic expressions to represent the unknown amounts contributed by Luis and Cristian.We are given the following information: - Luis contributed s/. 15489 more than David. - Luis contributed s/. 43968 less than Cristian. - David contributed s/. 189576. Let us represent the unknown amounts contributed by Luis and Cristian as L and C, respectively. Using the given information, we can set up the following equations: L = D + 15489 C = L + 43968 = D + 15489 + 43968 (since L = D + 15489) = D + 59457Now, we can substitute the value of D in the second equation to get: C = 189576 + 59457 = 249033. the total amount paid for the building is s/. 703674

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Answer:

$425

Step-by-step explanation:

x = bench

x - 69 = garden table

x + (x - 69)=781

x + x - 69 =781

2x - 69 = 781

2x -69 +69 = 781 + 69

2x = 850

2x/2 = 850/2

x = 425

Bench = 425

Answer: £425?

Step-by-step explanation:

x = bench

x - 69 = garden table

x + (x -69) = 781

2x - 69=781

+ 69 both sides

2x = 850

x = 425

Answer:

7

Step-by-step explanation:

5x-3=3x+11

2x=14

x=7

Answer:

x = 7

Step-by-step explanation:

Assuming the lines are parallel

<1 = <2

5x-3 = 3x+11

Subtract 3x from each side

5x-3x -3 = 3x-3x+11

2x-3 =11

Add 3 to each side

2x-3+3 = 11+3

2x = 14

Divide each side by 2

2x/2 = 14/2

x = 7

Answer:

(0,30)

(1,28)

(2,26)

(5,20)

Step-by-step explanation:

If you multiply 2 times the x

ex. 2 x 5 = 10

Then subtract that from the 30 to get y

30-10 = 20 = y

Solve

(5,20)

Answer:

one day and he has 28 dollars

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

We can use the two point to find the slope

m = (y2-y1)/(x2-x1)

    = ( 1- -5)/(4-1)

    = (1+5)/(4-1)

    = 6/3

    =2

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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The following correctly refers to the last element in the array of integers called numbers:

numbers[length of numbers-1].

An array is a collection of items, which can be of the same type and stored in contiguous memory. Once an array is created, its size cannot be altered during program execution. The last element in an array of integers called numbers can be referred to using numbers[length of numbers-1]. This is because array indexing starts from zero and the length of an array is the number of elements it contains, but indexing ends at length-1. Therefore, the last element in an array is always at the index length-1.It is important to note that array indexing is an error-prone area of programming, and one should always ensure that indices do not go out of bounds. This can lead to memory access violations and undefined behavior. A good practice is to use loops that start from 0 and end at length-1 when iterating over an array, to ensure that all elements are processed. It is also advisable to use constants or symbolic names to represent array indices, to make the code more readable and easier to maintain.

In summary, an array is a collection of items that can be stored in contiguous memory and cannot be resized during program execution. The last element in an array of integers called numbers can be referred to using numbers[length of numbers-1]. Array indexing is an error-prone area of programming, and one should always ensure that indices do not go out of bounds.

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To find the component form of the velocity of the airplane, we need to break down the velocity vector into its horizontal (x) and vertical (y) components.

Given that the airplane is flying 25 degrees west of north at 800 km/h, we can determine the horizontal and vertical components using trigonometry.

The vertical component (Vy) represents the velocity in the north direction, and the horizontal component (Vx) represents the velocity in the east direction.

To calculate Vy, we use the sine function:

Vy = V * sin(θ)

Vy = 800 * sin(25°)

To calculate Vx, we use the cosine function:

Vx = V * cos(θ)

Vx = 800 * cos(25°)

Therefore, the component form of the velocity vector is:

Velocity = (Vx, Vy) = (800 * cos(25°), 800 * sin(25°))

Calculating the values:

Vx ≈ 722.6 km/h

Vy ≈ 342.0 km/h

Hence, the component form of the velocity vector is approximately (722.6 km/h, 342.0 km/h).

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Answer:

BD

AC

SN       (might not be one)

AB

Step-by-step explanation:

Answer:

y= -[tex]\frac{3}{2} \\[/tex] +2    

y=2

Step-by-step explanation:

1. 3x+2y=4      subtract 3x on both sides to isolate 2y

  -3x    =-3x

   2y=-3x+4

2. 2y=-3x+4    divide both sides by 2 to isolate y

   2      2

y=-[tex]\frac{3}{2\\}[/tex] +2            this is the equivalent equation

To solve for y.

1. substitute 0 for x

 y= -[tex]\frac{3}{2}[/tex](0) + 2

2. anything multiplied by 0 is 0

y=2