what is the maximum distance between emma and lily over the time interval 0<= t<= 15

The correct option B: (-9/4 × 3/2)×(6/3 × 5/7) = -9/7×(3/2×6/3)×5/7 is the associative property of multiplication.

The formula for associative property of multiplication is-

a×(b×c) = (a×b)×c

For four digits;

(a×b)×(c×d) = a×(b×c)×d

Thus, from the given option the condition for associative law is only satisfied in option B.

(-9/4 × 3/2)×(6/3 × 5/7) = -9/7×(3/2×6/3)×5/7

Thus, the correct option for the associative property of multiplication s chosen.

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50.76922

after 50.8 seconds because

50.76922*40 +50.76922*64= 5279.99 which rounds to the admit if feet in a miles

ANSWER

EXPLANATION

The given translation

This means the shape will be translated 3units to the right and 2 units up.

That is;

Answer:

0,∞

Thus, the range of the square root function is [0,∞)

Step-by-step explanation:

When its domain is greater than or equal to zero, its inverse is the squaring function. When its domain is all real numbers, its range includes complex numbers such as i, -1.

Answer:

a

Step-by-step explanation:

because it goes to one side to another

Step-by-step explanation:

Y= 3x + b

As, to know the total, which is y, we need to solve for the cost

So first for money per square foot = $3

For square foot = x

So, price for x square foot = $3x (here this is the value of m)

Now, for value b,

$100 is added to the cost as its the charge, as the flat fee

So the value of b = $100

So, y=3x+100

Answer:

multiplication...

Step-by-step explanation:

50 x 12 = 600

SO...

j = 600

SOO...

600 / 12 = 50

there u go

can i be brainiest...

Answer:

216 cubic inches

Step-by-step explanation:

(9)(3)(3)=81

(3)(3)(9)=81

(3)(3)(6)=54

81+81+54=216

So, it's 216 cubic inches in volume.

The length of the hose to reach any part of the pool surface from there will be 22.36 feet.

Length of hose = √(L² + W²)

The pool is 20 feet long and 10 feet wide, the length of the hose needed would be approximately:

Length of hose = √(20² + 10²) = √500 = 22.36 feet

Therefore, Peter would need a vacuum hose that is approximately 22.36 feet long to reach any part of the pool surface from the outlet.

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The appropriate response is B. When using stratified random sampling, the population is first divided into subpopulations or strata.

From each stratum, a simple random sample is obtained whose size is proportional to the size of the subpopulation. The advantage of this method is that it ensures that no subpopulation is missed, and it allows for more precise estimation of population characteristics within each stratum.

b. The population is first divided into subpopulations (strata). From each stratum, a simple random sample is obtained whose size is proportional to the size of the subpopulation. The advantage of this method (stratified random sampling) is that it ensures that no subpopulation is missed, and it can lead to more precise estimates as it accounts for the variability within each stratum.

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Answer:

Step-by-step explanation:

Find 5% of $79:

Answer:

Abdul must pay $ 3.95.

Step-by-step explanation:

Now we have to,

→ find the amount of tax he must pay.

Then the amount will be,

→ (79/100) × 5

→ 0.79 × 5 = $ 3.95

Hence, he must pay $ 3.95.

The sum of the given series is n(n+1)(n+4) / 3."

Series converges or diverges The given series is ∑1 k(k + 2) k=1.

To determine whether or not the given series converges or diverges, one can use the comparison test which is given as follows:

Let aₙ and bₙ be two series such that 0 ≤ aₙ ≤ bₙ for all n and the series ∑bₙ is convergent.

Then, the series ∑aₙ is convergent.

The given series can be compared to the series ∑1 k² k=1,

since k(k + 2) ≤ k² for all k.

Hence,∑1 k(k + 2) k=1 ≤ ∑1 k² k=1.

Here, ∑1 k² k=1 is a convergent series with the sum given by the formula ∑1 k² k=1

= n(n+1)(2n+1) / 6.

Therefore, by the comparison test, the series ∑1 k(k + 2) k=1 is also convergent.

Moreover, to find the sum of the given series, we can simplify the expression k(k + 2) as k² + 2k.

Hence, the series can be written as ∑k² + 2k k=1.

Using the formula for the sum of first n squares, we have ∑k² k=1 = n(n+1)(2n+1) / 6,and using the formula for the sum of first n natural numbers, we have ∑k k=1 = n(n+1) / 2.

Hence, ∑k² + 2k k=1 = ∑k² k=1 + 2 ∑k k=1= n(n+1)(2n+1) / 6 + n(n+1) = n(n+1)(n+4) / 3.

Therefore, the sum of the given series is n(n+1)(n+4) / 3.

The given series is ∑1 k(k + 2) k=1.

We can use the comparison test to determine whether or not the given series converges or diverges.

We compare it to the series ∑1 k² k=1,

since k(k + 2) ≤ k² for all k.

Hence, ∑1 k(k + 2) k=1 ≤ ∑1 k² k=1. Here, ∑1 k² k=1 is a convergent series with the sum given by the formula ∑1 k² k=1 = n(n+1)(2n+1) / 6.

Therefore, by the comparison test, the series ∑1 k(k + 2) k=1 is also convergent.

Moreover, to find the sum of the given series, we can simplify the expression k(k + 2) as k² + 2k.

Hence, the series can be written as ∑k² + 2k k=1. Using the formula for the sum of first n squares,

we have ∑k² k=1 = n(n+1)(2n+1) / 6, and using the formula for the sum of first n natural numbers,

we have ∑k k=1 = n(n+1) / 2.

Hence, ∑k² + 2k k=1 = ∑k² k=1 + 2 ∑k k=1= n(n+1)(2n+1) / 6 + n(n+1)

= n(n+1)(n+4) / 3.

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Answer:

the height of the triangle is 25

Answer:

height = 25 m

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

Here A = 250 and b = 20 , then

\(\frac{1}{2}\) × 20 × h = 250 , that is

10h = 250 ( divide both sides by 10 )

h = 25 m

The coordinates of point D 0.25 x-axis for the points A(2, 6), B(0, 0), C(-5, 8), and D(-2, 10) are (-2, -2.5) when point D is reflected across the x-axis. This is obtained by negating the y-coordinate of point D and keeping the x-coordinate the same.

To find the coordinates of point D 0.25 x-axis, we need to reflect point D across the x-axis. This will result in the y-coordinate of point D being negated while the x-coordinate remains the same.

The coordinates of point D are (-2, 10), so when we reflect it across the x-axis, we get the new coordinates:

D 0.25 x-axis = (-2, -10/4) = (-2, -2.5)

Therefore, the coordinates of point D0.25∘rx-axis for the given points A, B, C, and D are (-2, -2.5).

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Converting \(\( -75^\circ \)\) to radians results in \(\( -\frac{5\pi}{12} \)\) . This conversion is achieved by multiplying the given degree measure by the conversion factor \(\( \frac{\pi}{180} \)\).

To convert degrees to radians, we use the conversion factor \(\( \frac{\pi}{180} \)\) . In this case, we need to convert \(\( -75^\circ \)\) to radians. We multiply \(\( -75 \)\) by \(\( \frac{\pi}{180} \)\) to obtain the equivalent value in radians.

\(\( -75^\circ \times \frac{\pi}{180} = -\frac{5\pi}{12} \)\)

Therefore, \(\( -75^\circ \)\) is equivalent to \(\( -\frac{5\pi}{12} \)\) in radians. It is important to note that when performing angle conversions, we maintain the exactness of the answer without rounding it to decimal places, as requested.

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Range and y intercept are two characteristics they have in common

The characteristics that the functions have in common are the range and the y-intercept.

A function refers to a mathematical rule. It is a mathematical operation to be carried out on variables.

For the two functions shown, the characteristics that the functions have in common are the range and the y-intercept.

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Leo is approximately 13.928 km away from the starting point.

Given that Leo walked 7 km south and then 12 km east, we need to determine the distance from the starting point,

To determine the distance from the starting point, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the distance Leo walked south forms one side of a right triangle, and the distance he walked east forms the other side. The distance from the starting point will be the length of the hypotenuse.

Using the Pythagorean theorem, we can calculate the distance from the starting point as follows:

Distance² = (7 km)² + (12 km)²

Distance² = 49 km² + 144 km²

Distance² = 193 km²

Taking the square root of both sides gives us:

Distance = √(193)

Distance ≈ 13.928 km

Therefore, Leo is approximately 13.928 km away from the starting point.

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Complete question =

Leo walk 7km south then 12km east. How far is he from the starting point?

Answer: 6

Step-by-step explanation: you could also multiply, 2 x 2 would be 4 + 2 more would be 6

Using strong induction, we can prove that the square root of -2 is irrational by showing that it cannot be expressed as a fraction of coprime odd integers.

To prove that √-2 is irrational using strong induction, we need to show that for any natural number n, if the square root of -2 can be expressed as a fraction a/b, where a and b are coprime integers, then a and b must be odd.

We can start by using the base case, n = 1. Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers.

Now, let's assume that for all n ≤ k, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. We want to prove that this also holds for n = k+1.

Assume that √-2 can be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Then, we have

√-2 = a/b

Squaring both sides gives

-2 = a^2/b^2

Multiplying both sides by b^2 gives

-2b^2 = a^2

This implies that a^2 is even, and therefore a is also even. We can express a as 2k for some integer k, which means

-2b^2 = (2k)^2

Simplifying, we get

-2b^2 = 4k^2

Dividing both sides by -2 gives

b^2 = -2k^2

This implies that b^2 is even, which means that b is also even. However, this contradicts our assumption that a and b are coprime integers with a and b odd. Therefore, √-2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd.

By strong induction, we have proven that for any natural number n, the square root of -2 cannot be expressed as a fraction a/b where a and b are coprime integers with a and b odd. Therefore, √-2 is irrational.

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1. a. Let d = the number of days the truck is rented.

  b. C(d) = 97.95d

  c. If the total rental cost was $783.60, we can set up the equation:

  97.95d = 783.60

  Solving for d:

  d = 783.60 / 97.95 ≈ 8

   Therefore, the truck was rented for approximately 8 days.

2. We are given two points on the line: (-2, 5) and (2, 21).

Using the slope-intercept form of a linear equation (y = mx + b), we need to find the slope (m) and the y-intercept (b).

m = (21 - 5) / (2 - (-2)) = 16 / 4 = 4

Using the point-slope form of the equation (y - y₁ = m(x - x₁)), we can choose one of the points to substitute:

y - 5 = 4(x - (-2))

y - 5 = 4(x + 2)

y - 5 = 4x + 8

y = 4x + 13

Therefore, the slope-intercept form of the equation is ƒ(x) = 4x + 13.

3. The slope of a line perpendicular to a given line is the negative reciprocal of its slope.

   The given line has a slope of 4, so the slope of a line perpendicular to it is -1/4.

4. Solve: 77x + 6(2x - 5) < 12(x - 1) + 9x

   Expanding and simplifying both sides:

  77x + 12x - 30 < 12x - 12 + 9x

   89x - 30 < 21x - 12

  Combining like terms:

   70x < 18

   Dividing both sides by 70 (since 70 is positive):

   x < 18/70

   Simplifying the fraction:

   x < 9/35

   The solution in interval notation is (-∞, 9/35).

5. In a right triangle, the Pythagorean theorem states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Using this theorem, we have:

a² + b² = c²

(5.7)² + b² = (13.4)²

32.49 + b² = 179.56

b² = 179.56 - 32.49

b² = 147.07

b ≈ √147.07

b ≈ 12.1

Therefore, the length of the other leg is approximately 12.1 feet.

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Given

The data is given

10,13,14,15,17,18,20,30,35

Answer:

what is the question?

Step-by-step explanation:

hhdhejrhdeuie

A function assigns the value. The x-intercepts of the function are -2, 3, and 6. The y-intercept of the function is 36.

A function assigns the value of each element of one set to the other specific element of another set.

In the given function, if the value of x is kept as 0, then you will get the value of the y-intercept of the function as,

f(x) = x³- 7x² + 36

f(0) = (0)³ - 7(0)² + 36

f(0) = 36

The value of y is kept as 0, then you will get the x-intercept of the function,

f(x) = x³- 7x² + 36

0 = x³- 7x² + 36

0 = (x+2)(x-3)(x-6)

x = -2, 3, 6

Hence, the x-intercepts of the function are -2, 3, and 6. The y-intercept of the function is 36.

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(a) To determine the percentage of pipe lengths falling outside the specification limits of 0.965 ± 0.007 meter, we need to calculate the area under the normal distribution curve outside this range. (b) Centering the process would shift the mean of the distribution, but the effect on the percentage conforming to specifications depends on the width of the specifications and the shape of the distribution. (c) If the mean remains at 0.973 meter and the process standard deviation is reduced to 0.0025 meter, it would result in a narrower distribution and potentially increase the percentage conforming to specifications.

(a) To find the percentage of pipe lengths falling outside the specification limits, we need to calculate the area under the normal distribution curve outside the range of 0.965 ± 0.007 meter. This can be done by finding the z-scores corresponding to the lower and upper limits, and then using a standard normal distribution table or software to determine the probabilities. The percentage would be the sum of the probabilities outside the range.

(b) Centering the process would shift the mean of the distribution, but the effect on the percentage conforming to specifications depends on the width of the specifications and the shape of the distribution. If the process is centered within the specifications, it would increase the percentage conforming to specifications.

(c) If the mean remains at 0.973 meter and the process standard deviation is reduced to 0.0025 meter, it would result in a narrower distribution. A narrower distribution means fewer values would fall outside the specifications, potentially increasing the percentage conforming to specifications. The graphical representation would show a tighter and more concentrated distribution around the mean value.

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Answer:

First one is A. \(2x^{3} + 1\)

Second one is D. \(8x^{3} + 24x^{2} +24x + 8\)

Step-by-step explanation:

Edge 2020

Answer:

d on edge

Step-by-step explanation:

The consignment shop owner marked up the price of the dress by 66.67%.

The markup percentage can be calculated by dividing the difference between the selling price and the cost price by the cost price and then multiplying the result by 100 to get a percentage. In this case, the difference between the selling price ($50) and the cost price ($30) is $20. Dividing $20 by $30 gives us 0.6667, which when multiplied by 100 gives us 66.67%. Therefore, the consignment shop owner marked up the price of the dress by 66.67%.

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Answer:

0.47

Step-by-step explanation:

47% = to 0.47

Answer:

424.3m³

Step-by-step explanation:

I'm sorry, I don't have any proof because I used the go.ogle calculator, you're just gonna have to trust me on this one

Answer:

x= --3/2y + 33/2

Step-by-step explanation: