There are 32 Year 11 pupils in a rugby club, out of a total of 85 pupils.

Write this proportion as a percentage.
Give your answer correct to 1 decimal place when appropriate. 26% of an amount.

Answer:

3 9/32

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes: 105/32

Applying the fractions formula for multiplication,

Simplifying 105/32, the answer is 3 9/32

Answer: 39k+40

Step-by-step explanation:

Distribute:−5(−6k−6)−(−9k−10)

                   30k+30-(9k-10)

                    30k+30+9k+10

Add the numbers: 30k+30+9k+10

                               30k+40+9k

Combine like terms: 30k+40+9k

                                  39k+40

there you go please Brainliest me

Thank you!!

Answer:

theb correct answer is d VHow does your body’s flexibility naturally change as you age?

Step-by-step explanation:

i. Range (A): The space spanned by the columns of matrix A. It represents all possible linear combinations of the columns of A.

ii. Null (A): The set of all vectors x such that Ax = 0. It represents the solutions to the homogeneous equation Ax = 0.

iii. Row (A): The space spanned by the rows of matrix A. It represents all possible linear combinations of the rows of A.

iv. Null (A): The set of all vectors y such that ATy = 0. It represents the solutions to the homogeneous equation ATy = 0.

The equation Ax = b has a solution only when b is in the Range (A). It has a unique solution only when the Null (A) contains only the zero vector.

The equation ATy = d has a solution only when d is in the Row (A). It has a unique solution only when the Null (A) contains only the zero vector.

Assuming the size of A is m × n:

When Ax = b has a unique solution, the space Null (A) must be equal to Rn. This means there are no non-zero vectors that satisfy Ax = 0, ensuring a unique solution.

When ATy = d has a unique solution, the space Null (AT) must be equal to Rm. This means there are no non-zero vectors that satisfy ATy = 0, ensuring a unique solution.

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The area of the region bounded by \(f(x) = sin x\) and \(g(x) = cos (2x)\) on the interval [%, **] is \(4 [(1/2)sin(2**) + cos(**)] - 4 [(1/2)sin(2%) + cos(%)]\).

To find the area of the region bounded by the graphs of \(f(x) = sin x\)and \(g(x) = cos (2x)\) on the interval [%, ], we need to first find the points of intersection between the two functions.

Setting \(sin x = cos (2x)\), we can simplify this equation using the identity cos \((2x) = 1 - 2sin^2(x)\), giving us:

\(sin x = 1 - 2sin^2(x)\)

Rearranging and factoring, we get:

\(2sin^2(x) + sin x - 1 = 0\)

Using the quadratic formula, we can solve for sin x:

sin x = (-1 ± sqrt(5)) / 4

Since we are only interested in solutions on the interval [%, ], we can discard the negative solution and use:

sin x = (-1 + sqrt(5)) / 4

Now that we have found the points of intersection, we can integrate to find the area between the two curves. Since cos (2x) is an even function, its graph is symmetric about the y-axis.

Therefore, we only need to consider the area in the first quadrant and multiply by 4 to get the total area.

The integral for the area is given by:

A = 4 ∫[%, ] (cos(2x) - sin(x)) dx

Evaluating this integral gives us:

A = 4 [(1/2)sin(2x) + cos(x)]_[%, ]

Plugging in our limits of integration, we get:

A = 4 [(1/2)sin(2) + cos()] - 4 [(1/2)sin(2%) + cos(%)]

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Answer:

Gavin has 3 parts left.

Step-by-step explanation:

8-3-2=3. The time was not important.

Answer:

55 to 70

Step-by-step explanation:

The first quartile is the left-most region of the graph, from 55 to 70.  The second quartile stretches from 70 to 80.

Using multiplication we know that after 141 min there will be 400,000 bacteria present.

One of the four fundamental arithmetic operations, along with addition, subtraction, and division, is multiplication.

A product is the output of a multiplication operation.

When you take a single number and multiply it by several, you are multiplying.

A 5 multiplied by 4 results in 20 (5 + 5 + 5 + 5).

We multiplied the number five by four times.

Multiplication is commonly referred to as "times" because of this.

So, in the given situation:

At the initial stage, the number of bacteria is: 50,000

Then, after 47 min: 50,000 * 2 = 100,000

Then, after 47 min which is after 94 min: 100,000 * 2 = 200,000

Then, after 47 min which is after 141 min: 200,000 * 2 = 400,000

Therefore, using multiplication we know that after 141 min there will be 400,000 bacteria present.

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Answer:

D. 10; your car travels for 10 hours.

Step-by-step explanation:

True. Time series data refers to a collection of observations gathered over time, where the time dimension is a critical component of the data.

Each data point is linked to a specific point in time. In contrast, cross-sectional data is collected at a single point in time and does not have a time dimension. Therefore, the timing of each observation is crucial in time series data but not as important in cross-sectional data.

Time series data is a sequence of data points indexed in time order. It is used to track change over time.

Cross-sectional data is a snapshot of data at a specific point in time. It is used to compare different groups or variables .

Think about how the time at which each observation is made affects the analysis of time series data and cross-sectional data.

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The sequence of the original DNA molecule, read 5' to 3', is 3' CTGTCCTAG 5'.

The Sanger sequencing method is a technique used to determine the nucleotide sequence of DNA. In this method, the DNA molecule is fragmented into different lengths and each fragment is then replicated using DNA polymerase and a mixture of regular nucleotides and dideoxynucleotides (ddNTPs). The ddNTPs lack a 3' hydroxyl group, preventing further DNA chain elongation after their incorporation.

In the given chromatogram, the sequence trace reads 5' GTCACGGATC 3'. The sequence is read in the 5' to 3' direction, which means that the first nucleotide in the sequence corresponds to the 5' end of the original DNA molecule.

To determine the original DNA sequence, we need to complement and reverse the given sequence. The complementary base pairing rules state that adenine (A) pairs with thymine (T) and cytosine (C) pairs with guanine (G). Complementing the sequence gives us 3' CAGTGCCGTA 5'. Reversing this sequence yields the final result of 3' CTGTCCTAG 5', which represents the original DNA sequence read from 5' to 3'.

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The value of a and r after evaluating the geometric progression is 24 and 2 respectively.

Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio.

For the first G.P,

Given:

Then, the 6th term is

768 = ar⁵............... Equation 1

For the second G.P,

Given:

Then, the 3rd term is

Dividing equation 1 by equation 2

Substitute these value of r into equation 2

Hence, the values of a and r is 24 and 2 respectively.

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Answer:

The time it takes Ms. Croft to reach the cruise ship by speedboat = 6.11 hours

The time it takes Ms. Croft to reach the cruise ship by helicopter = 6.25 hours

since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

Step-by-step explanation:

The given parameters are;

The elapsed time by which Ms. Croft missed the boat = 5 hours

The speed of the cruise ship = 528 mi/day

The speed of the speedboat = 100 miles in 2.5 hours

The speed of the helicopter = 90 mph

The time it would take Ms. Croft to arrive at the harbor = 3.5 hours

Therefore, we have;

The cruise ship's speed = 528 miles per 24 hours = 528/24 mph = 22 mph

The location of the cruise after the first 5 hours = 5 × 22 = 110 miles

The speed of the speedboat = 100 miles per 2.5 hours = 100/2.5 = 40 mph

By traveling with a speed boat

The time at which Ms. Croft will intercept the cruise ship is given by the following relation;

40 mph × t = 22 mph × t + 110 miles

Which gives;

40 mph × t - 22 mph × t = 110 miles

18 mph = 110 miles

t = 110 miles/(18 mph) = 55/9 hours ≈ 6.11 hours

By taking the helicopter, we have;

Upon arrival at the harbor, after 3.5 hours, we find

90 mph × t = 22 mph × t + 22 mph × 3.5 hours + 110 miles

90 mph × t - 22 mph × t = 22 mph × 3.5 hours + 110 miles

68 mph × t = 77 miles + 110 miles = 187 miles

t = 187 miles/(68 mph) = 11/4 hours = 2.75 hours

The total time it takes Ms. Croft to reach the cruise ship by taking the helicopter = 3.5 + 2.75 = 6.25 hours

Therefore, since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

One possible system is

1x + 3y = 4

2x + 6y = 8

Note how 2 is twice as large as 1, 6 is twice as large as 3, and 8 is twice as large as 4.

In other words, the second equation is the result of multiplying both sides of the first equation by 2.

1x+3y = 4

2*(1x+3y) = 2*4

2x+6y = 8

Effectively the two equations in bold are the same which produces the same line. The two lines overlap perfectly to intersect infinitely many times. An intersection is a solution.

Answer:

c

Step-by-step explanation:

in order for it to be a triangle the smaller sides have to add up to be greater than the longest side

for a 5+14=19 so that is not a triangle because the  side dont add up to be greater than 19

for b 14+8=22 so that is also not a triangle because the sides dont add up to be greater than 24

for c 5+15=20 so that is a triangle because to 2 shorter sides added are greater than the longest side

for d 14+9=23 so that is not a triangle because the two smaller sides dont add up to be greater than 24

The correct answer is d. As viscosity increased, the flow rate decreased and the graph was linear.

Viscosity is a measure of a fluid's resistance to flow. The higher the viscosity of a fluid, the more resistant it is to flow. Flow rate, on the other hand, is a measure of how much fluid flows through a particular point in a given amount of time.

When viscosity increases, the flow rate decreases, and this relationship is linear. This means that as viscosity increases, the flow rate decreases at a constant rate, resulting in a straight-line graph. The slope of this graph represents the degree of change in flow rate with respect to viscosity.

In contrast, if the flow rate were to increase as viscosity increased, the graph would be curved, indicating a nonlinear relationship between the two variables. Therefore, option d is the correct answer, and the other options do not accurately describe the relationship between flow rate and viscosity.

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The number of ways are = 1867866560

According to our question-

The passwords contain only digits and lower-case letters.

Length is 6 and the password must contain at least one digit.

There are 26 lower case and 10 digits.

Total = 26+10=36

Length is 6 and the password must contain at least one digit.

Hence, The number of ways are = 1867866560

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Answer: x: 1,2,3,4 y: 2,4,8,16

Step-by-step explanation:

Exponential growth means that the rate of the line of a graph or chart is rapidly growing in size or number.

1 | 2

2 | 4

3 | 8

4 | 16

5 | 32

6 | 64

etc.

Answer:

option B edg 2021

Step-by-step explanation:

im too lazy to explain but its option B

Answer:

Approximately 17 bags.

Step-by-step explanation:

The length of the bag of mulch = 3.2 ft

The width of the bag of mulch = 2.5 ft

The thickness of the bag of mulch = 3 inch = 0.25 ft

Volume of a bag of mulch = length x width x thickness

                                          = 3.2 x 2.5 x 0.25

                                          = 2 cubic feet

So that, the volume of a bag of mulch is 2 cubic feet.

The area to be covered = 100 square feet

The depth of the area = 4 inches = \(\frac{1}{3}\) feet

volume of the portion to be covered = area x depth

                                                = 100 x \(\frac{1}{3}\)

                                                = 33 \(\frac{1}{3}\) cubic feet

The volume of the portion to be covered is 33 \(\frac{1}{3}\) cubic feet.

The number of bags of mulch needed = \(\frac{33\frac{1}{3} }{2}\)

                                                       = 16\(\frac{2}{3}\)

                                                   = 16.6667

The number of bags of mulch needed is 17.

Answer:

The probability of correctly guessing a 4-digit passcode on the first try, assuming it is completely random, is 1 in 10,000.

This is because there are 10 possible digits for each of the four positions, so the total number of possible passcodes is 10 x 10 x 10 x 10 = 10,000.

Therefore, the probability of guessing the correct passcode on the first try is 1/10,000 or 0.01%.

However, it is important to note that this probability may be higher or lower depending on the specific passcode and the context in which it is being guessed. For example, if the person trying to guess the passcode knows the individual well and is aware of their preferences or patterns, they may be able to increase their likelihood of guessing correctly. Additionally, if the person has unlimited attempts to guess the passcode, the probability of eventually guessing correctly will increase.

The proportionality is the direct relation of two variables thus the constant of proportionality of the given graph is 1/2.

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

For example x ∝ y

The graph of seconds and ounces has shown.

If we look at the graph it is clear that as the ounces are increasing the seconds are also increasing. Therefore, it is a direct proportion.

Let's suppose the proportion is x ∝ y where x is ounces while y is seconds.

Removing proportionality,

x = ky

k = x/y

Substitute,(x,y) = (1,2)

k = 1/2

Hence "The proportionality is the direct relation of two variables thus the constant of proportionality of the given graph is 1/2".

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A composite function to find the area of the region at time t is written as-

A(r(t)) = π(0.25 + 2t + 4t²)

f(g(x)) or (f ∘ g)(x) represents the composition of functions f(x) & g(x), where g(x) acts first (x). It integrates a number of functions to produce another.

The output of one function inside the parenthesis is becoming the input of the other function in a function composition. i.e.,

Now, as per the given question;

To create a composite function, we pertain one function to another. In this scenario, we would like to find area in terms of time, so we apply the function A(r) to the function r. (t).

To accomplish this, we substitute r with r(t).

Since we know that r(t) = 0.5 + 2t, we can replace r to 0.5 + 2t:

A(r(t)) = π(0.5+2t)²

To make things easier, we'll simplify this same squared term:

A(r(t)) = π(0.5 + 2t)(0.5 + 2t)

A(r(t)) = π[(0.5×0.5) + (0.5×2t) + (2t×0.5) + (2t×2t)]

A(r(t)) = π(0.25 + t + t + 4t²)

A(r(t)) = π(0.25 + 2t + 4t²)

Therefore, the composite function to find the area of the region at time t is written as A(r(t)) = π(0.25 + 2t + 4t²).

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The complete question is-

A circular oil spill continues to increase in size. The radius of the oil spill, in miles, is given by the function r(t) = 0.5 + 2t, where t is the time in hours. The area of the circular region is given by the function A(r) = πr2, where r is the radius of the circle at time t. Explain how to write a composite function to find the area of the region at time t.

Answer:

157°

Step-by-step explanation:

We can see that the angle here is an alternate angle, this means it is an opposite angle that has the same value as each other.

Knowing this, we can see that if the angles are alternated the missing angle should be 157 as well.

Hope this helps have a lovely day! :)

True. Periodic functions can indeed be represented by a harmonically related series of sines and cosines. This representation is known as the Fourier series, which expresses a periodic function as a sum of sine and cosine functions with different frequencies and amplitudes. By appropriately choosing the coefficients of these sine and cosine terms, a periodic function can be accurately approximated or represented.

Periodic functions can be represented by a harmonically related series of sines and cosines, known as the Fourier series. This mathematical representation expresses a periodic function as a sum of sine and cosine functions with different frequencies and amplitudes. By adjusting the coefficients of these harmonically related terms, the Fourier series can accurately approximate or represent the original periodic function. This concept is widely used in various fields, including mathematics, physics, signal processing, and engineering, as it allows for the analysis, manipulation, and synthesis of periodic phenomena. The Fourier series provides a powerful tool for understanding and working with periodic functions, enabling the decomposition of complex periodic signals into simpler harmonic components.

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Answer:

Maggie did not apply the law correctly

Step-by-step explanation:

Given 3 numbers A, B and C, for a commutative property

(A+B)+C = C+(A+B)

This shows that the remains the same no matter what values comes first

For the given expression

4/5+6.9y-8 = 6.9y+8-4.5

The values are not commutative because of the presence of negative sign. For the expression to be commutative, they must be equal no matter the way it is arranged and the sign must be positive all through for both sides. Hence Maggie did not apply the law correctly

Move every vertex (corner) of the triangle 2 squares up and 1 square left.

Since the inquiry is posing to you to translate the shape, you want to move the shape to another situation onto the direction lattice.

Since the top number of the vector is 2, this implies that you really want to additionally move the shape 2 square up.

The bottom number of the vector is -5, so you need to move the shape 1 square left.

Hence, move every vertex (corner) of the triangle 2 squares up and 1 square left. Make the surest you have each of the three corners of the triangle so you commit no errors.

Coordinates are a couple of numbers that are utilized to decide the position of a point or a shape in a 2-dimensional plane.

We characterize the position of a point on a 2D plane utilizing two numbers, called the x-coordinate and the y-coordinate. The x-coordinate generally starts things out in the arranged pair followed by the y-direction and it figures out where the fact is in the left-right or even course, and the y-coordinate decides the position of a point in the upward, up-down bearing.

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the complete question is:

Translate the triangle on the coordinate grid by the vector: (2 / -5)

Answer:

i guess you are trying to find out what the "some blue seats are". Lets show this as x.  So you are trying to find x. Now 88 seats in the theater divided by the 4 identical sections. that would give you 22. Now like you said 14 of the seats are red..That means that we have to find out what the blue is or x. 22-14 is 8. That means that there are 8 seats left that are not red...That means that 8 seats in the theater are blue.