You are helping some friends assemble a kite. They want to add a ribbon around the outside of the kite using the lengths indicated in the diagram. The lengths given in the diagram are in inches.

How many inches of ribbon do you need to go the entire way around the kite?

Answer in a complete sentence. Provide supporting work in your solution.

The sprinter will complete the race in approximately 17.07 seconds.

To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.

Acceleration Phase:

The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:

v = u + at

Here:

v = final velocity (which is the velocity at the end of the acceleration phase)

u = initial velocity (which is 0 since the sprinter starts from rest)

a = acceleration

t = time

Rearranging the equation, we have:

t = (v - u) / a

Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:

t = v / a

Plugging in the values, we get:

t = 25 m / 1.64 m/s²

Constant Velocity Phase:

Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:

t = d / v

Here:

d = distance

v = velocity

Plugging in the values, we get:

t = 75 m / (v)

Since the velocity remains constant, we can use the final velocity from the acceleration phase.

Now, let's calculate the time for each phase and sum them up to get the total race time:

Acceleration Phase:

t1 = 25 m / 1.64 m/s²

Constant Velocity Phase:

t2 = 75 m / v

Total race time:

Total time = t1 + t2

Let's calculate the values:

t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)

Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:

v = u + at

Here:

u = initial velocity (0 m/s)

a = acceleration (1.64 m/s²)

t = time (25 m)

Plugging in the values, we get:

v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s

Now, let's calculate the time for the constant velocity phase:

t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)

Finally, let's calculate the total race time:

Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)

Therefore, the sprinter will complete the race in approximately 17.07 seconds.

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a) The probability that exactly one of them will be a girl = 0.3407

b) The probability that at least one of them will like the football = 0.7672

a) If we select three students then the probability that exactly one of them will be a girl

From the attached two way table we can observe that the total number of girls = 22

the total number of boys = 18

and the total number of students = 40

The possible outcomes for selecting 3 students from 40 would be,

⁴⁰C₃

Using combination formula,

⁴⁰C₃ = 40! / (3! × (40 - 3)!)

      = 9880

If there is exactly one girl then other two must be boys in the set of 3 selected students.

So, the required probability would be,

P = (²²C₁ × ¹⁸C₂) / ⁴⁰C₃

P = (22 × 153)/9880

P = 0.3407

b) The number of students like the football = 15

and the number of students who don't like the football are 40 - 15 = 25

The probability that at least one of them will like the football would be,

P = (¹⁵C₃ × ²⁵C₀ + ¹⁵C₂ × ²⁵C₁ + ¹⁵C₁ × ²⁵C₂) / ⁴⁰C₃

P = ((455 × 1) + (105 × 25) + (15 × 300)) / 9880

P = 0.7672

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Answer:

The scale factor is 3/2.

Step-by-step explanation:

Let's use the side PQ.

The original length was 8 units.

And the new length is 12 units.

Let the scale factor be k. Therefore:

\(8k=12\)

By dividing both sides by 8, we can see that our scale factor from ΔPQR to ΔP'Q'R' is:

\(\displaystyle k=\frac{12}{8}=\frac{3}{2}\)

ANSWER

1st Quadrant

STEP BY STEP EXPLANATION

Step 1: Plot the graph using the coordinates

Given that x = 5 and y = 5/2 = 2.5

Step 2: Identifiy the Quadrant

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Maci and 2 appointments and Logan had 3 appointments.

The linear equation that represents the total amount earned by Maci is:

Total amount earned = (amount per appointment x number of appointments)  + tips

$170 = ($60 x a) + $50

$170 = $60a + $50

$170 - $50 = $60a

$120 = $60a

a = $120 / $60

a = 2

The linear equation that represents the total amount earned by Logan is:

Profit = total revenue - total cost

Profit = (fee per appointment  x number of appointments) + amount received in tips - (rental fee x number of appointments)

$235 = ($75 x a) + $40 - ($10 x a)

$235 = $75a + $40 - $10a

$235 = $65a + $40

$235 - $40 = $65a

$195 = $65a

a = $195 / 65

a = 3

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Answer: 49.8 nautical miles

Step-by-step explanation:

Angle between routes = 125⁰

after 2 hours :-

d² = 24² + 32² - 2 x 24 x 32 cos 125⁰

d = 49•8 nautical miles

Answer:

Step-by-step explanation:

Each triangle takes up half of a parallelogram, so the area of a parallelogram is twice the area of a triangle with the same base and height. Same goes with a trapezoid. So the parallelogram's area could be 2(1/2bh) or height x (base 1 +base 2)

The correct statement regarding the impact of the mass increase in the mean and median are given as follows:

The mean will increase, and the median will stay the same.

The mean of a data-set is given by the sum of all the observations in the data-set divided by the number of observations in the data-set.

Hence, if one observation is increased, the sum of all the observations also increases, and thus the mean of the data-set increases.

The median of a data-set is the middle value of the data-set, the value which 50% of the measures are less than and 50% are greater than.

The data-set in this problem has an odd cardinality of 5, meaning that the median is the third element of the data-set, which is not affected by the weight of the heaviest elephant, and thus the median remains constant.

The expression which represents the number of pieces of cargo is c/162.68 = x, where c is the weight of the cargo in pounds, and x is the number of pieces of cargo.

Given that the space shuttle carries c pounds of cargo, and each piece of cargo weighs 162.68 pounds. We have to determine which of the following expressions represents the number of pieces of cargo.

Let's assume that the number of pieces of cargo be x.

Therefore, the weight of x pieces of cargo will be 162.68x = weight of cargo. The expression which represents the number of pieces of cargo can be written as: c/162.68 = x

This is because the total weight of the cargo is c pounds, and we know that each piece weighs 162.68 pounds.

Therefore, to find the number of pieces, we can divide the total weight by the weight of each piece, which gives us the expression c/162.68 = x, where x is the number of pieces of cargo.

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9514 1404 393

Answer:

  y = (1/3)√x

Step-by-step explanation:

Vertical scaling of a function is accomplished by multiplying the function by the scale factor. If you want to scale the square root function by a factor of 1/3, then the scaled function is ...

  y = (1/3)√x

Answer:

me too (help)

Step-by-step explanation:

Answer:

3 +2+2

Step-by-step explanation:

17 answer tikka

.

45

5

5

5

5

4

4

4

4

4

Answer:

The circumference of a circle is given by the formula "C = pi x d" where "d" is the diameter and "pi" is the mathematical constant with an approximate value of 3.14.

In this problem, the diameter of the bicycle wheel is 60 centimeters, so its circumference is:

C = pi x d = 3.14 x 60 = 188.4 centimeters

When the wheel makes one revolution, it travels one circumference distance. Therefore, when the wheel makes 35 revolutions, it will travel:

distance = 35 x circumference = 35 x 188.4 = 6584 centimeters

We can convert centimeters to meters by dividing the distance by 100:

distance = 6584 ÷ 100 = 65.84 meters

Therefore, the wheel travels 65.84 meters when it makes 35 revolutions.

Answer:28 x 4

Step-by-step explanation: 28 x 4 = 112

Answer: y = 7x

Step-by-step explanation:

y = rate(x)

28 = ?(4)

28/ 4 = 7 so 7 times 4 = 28

y= 7(x)

Answer:

P + A = 70

2P = A + 2

1) P + A = 70

2P = A + 2

2) Solve the system of equations:

Subtract P from both sides of the first equation:

A = 70 - P

Substitute A for 70 - P in the second equation:

2P = (70 - P) + 2

Simplify:

2P = 72 - P

Add P to both sides of the equation:

3P = 72

Divide both sides of the equation by 3:

P = 24

Substitute P for 24 in the first equation:

A = 70 - 24

A = 46

Penelope worked 24 hours and Artemis worked 46 hours.

The rest wavelength of the emission line observed at 2148 nanometers in the galaxy 100 million light-years away is approximately 2103 nanometers.

The rest wavelength of an emission line can be determined by applying the concept of redshift, which is a phenomenon observed in astrophysics where light from distant objects is shifted towards longer wavelengths due to the expansion of the universe.

In this case, the emission line is observed at 2148 nanometers (or 2.148 micrometers) in a galaxy located 100 million light-years away. To calculate the rest wavelength, we need to consider the redshift factor. Redshift, denoted by z, is defined as the observed wavelength divided by the rest wavelength minus 1.

Given that the observed wavelength is 2.148 micrometers and the galaxy is located 100 million light-years away, we need to convert the distance into a redshift factor using the cosmological relationship between redshift and distance. Assuming a standard cosmological model, we can use the Hubble constant to estimate the redshift.

The Hubble constant represents the rate at which the universe is expanding. Taking a typical value of the Hubble constant as 70 kilometers per second per megaparsec, we find that the redshift factor, z, is approximately 0.021.

To determine the rest wavelength, we rearrange the redshift equation as \((observed wavelength) = (1 + z) \times (rest wavelength)\). Substituting the values, we get \((2.148 micrometers) = (1 + 0.021) \times (rest wavelength).\)

Simplifying the equation, we find the rest wavelength to be approximately 2.103 micrometers or 2103 nanometers.

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Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!

Answer:

535,095 different samples of size six that contain exactly 2 defective parts.

0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

As the order of the parts is not important, the combinations formula is used to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

How many different samples are there of size six that contain exactly 2 defective parts?

2 defective from a set of 3, and 4 non-defective from a set of 47. So

\(D = C_{3,2}*C_{47,4} = \frac{3!}{2!1!}*\frac{47!}{4!43!} = 535095\)

535,095 different samples of size six that contain exactly 2 defective parts.

What is the probability that a sample contains exactly 2 defective parts?

The total number of samples is:

\(T = C_{50,6} = \frac{50!}{6!44!} = 15890700\)

Then...

\(p = \frac{D}{T} = \frac{535095}{15890700} = 0.0337\)

0.0337 = 3.37% probability that a sample contains exactly 2 defective parts.

Answer: Triangle D'E'F' is larger than triangle DEF, because the scale factor is greater than 1.

Step-by-step explanation:

The dilation rule (x, y) → (2.5x, 2.5y) means that the x-coordinates and y-coordinates of each point in triangle DEF are multiplied by 2.5. This means that the distance between any two points in triangle D'E'F' will be 2.5 times the distance between the corresponding two points in triangle DEF.

Since 2.5 is greater than 1, the scale factor is greater than 1. Therefore, triangle D'E'F' is larger than triangle DEF.

Option (c) correctly states that triangle D'E'F' is larger than triangle DEF and is the correct answer.

Triangle D'E'F is smaller than triangle DEF, because the scale factor is less than 1 which is true. The correct option is A.

Three coordinates—x, y, and R—make up this system. It's simply a binary 0 or 1 because the x, y, and R coordinates identify the rhombus you're in and the R coordinate indicates whether you're in the lower-left triangular half of the rhombus or the upper-right one.

The given dilation rule (0.25x, 0.25y) indicates that each coordinate of triangle DEF is multiplied by 0.25, resulting in triangle D'E'F. Since the scale factor is less than 1, the resulting image will be smaller than the original triangle. Therefore, we can conclude that triangle D'E'F is a smaller image of triangle DEF.

Thus, the ideal selection is option A.

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Answer: x=-3 & x=3/2

Step-by-step explanation:

1. Simplify the expression

- Divide both sides by the same factor

9=2x^2+3x

2x^2 + 3x - 9 = 0

2. Use the quadratic formula

- Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

2x^2 + 3x - 9 = 0

a = 2

b = 3

c = -9

x = √-3±3^2−4⋅2(−9)/2⋅2

3. Simplify, again.

- Evaluate the exponent

- Multiply the numbers

- Add the numbers

- Evaluate the square root

x=−3±9/4

4. Separate the equations

- To solve for the unknown variable, separate into two equations: one with a plus and the other with a minus.

x=−3+9/4

x=-3-9/4

5. Solve

- Rearrange and isolate the variable to find each solution.

x=3/2

x=-3

The ratio of rubies to diamonds is given as follows:

4.

The ratio between two amounts is obtained applying proportions, as the ratio between the amounts a and b is given by the division of a by b, as follows:

r = a/b.

The amounts in this problem are given as follows:

The number of rubies is four times the number of diamonds, hence:

x = 4y.

Then the ratio between the number of rubies and the number of diamonds is given as follows:

r = 4y/y

r = 4.

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Answer: The probability that vowels occupy even places in the word "jvuyojzrxccome" is 3/7.

Step-by-step explanation:

1) To find the probability that vowels occupy even places in the word "jvuyojzrxccome", we can use the following steps:

2) Break down the word into individual characters: "jvuyojzrxccome"

3) Identify the vowels in the word: "u, o, o, e"

4) Count the number of vowels in the word: 4

5) Count the number of even-positioned characters in the word: (1st, 3rd, 5th, 7th, 9th, 11th, 13th) 7

6) Identify the vowels in the even positions: "u, o, e"

7) Count the number of vowels in the even positions: 3

Use the formula for probability: P(vowels in even positions) = (number of favorable outcomes) / (number of total outcomes)

8) P(vowels in even positions) = 3/7

Therefore, the probability that vowels occupy even places in the word "jvuyojzrxccome" is 3/7.

The probability that the next person will purchase exactly one costume is given by: 68/399

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen. The probability of an event can be calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The total number of visitors to the website is 314 + 68 + 17 = 399.

Out of these 399 visitors, 68 purchased exactly one costume.

Therefore, the probability that the next person will purchase exactly one costume is given by:

68/399

This fraction cannot be simplified any further, so the final answer is:

68/399.

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(-inf, 1]

Personal comment

Sorry this took so long

In short, you had it flipped, always put your smallest value first and your largest value second.

Reason:

Interval notation is

[(minima, maxima)]

Which is basically saying the minimum and the maximum, and as such you always end up having the smallest value first.

Putting the reasoning together;

A negative is always less than a positive in practice, therefore, your negative infinity should go first.

Hope this helps :)

I'm sorry, there is no image or diagram provided to identify the shaded region. Could you please provide more information or a visual aid for me?

Answer: C) -7.

Step-by-step explanation:

9 • (–1) – 20 ÷ (–10)

= -9 - (-2)

= -9 + 2

= -7

Therefore, the answer is C) -7.

Answer:c) (4,3) and (5.-1)

Step-by-step explanation:

The endpoints of the midsegment connecting side YX and side YZ

(4, 3) and (-3/2, 11/2).

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

X = (7, 4)

Y = (1, 2)

Z = (-4, 9)

The midpoint of YX is (4, 3).

i.e

x = (1 + 7)/2 = 4 and y = (2 + 4)/2 = 3

The midpoint of YZ is (-3/2, 11/2).

i.e

x = (-4 + 1)/2 = -3/2 and y = (9 + 2)/2 = 11/2

Thus,

The endpoints of the midsegments are

(4, 3) and (-3/2, 11/2).

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