f(5) = 3(a+ 2) − 1 pls help ASAP

Answer:

95%.

Step-by-step explanation:

The fraction of the total distance that he's ridden

= 38/40 = 19/20.

Now we multiply by 100:-

19/20 * 100

= 95%.

Answer:

I think these links will help you out here: (I read through and watch both)

https://www.purplemath.com/modules/factquad.htm

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:forms-of-linear-equations/x2f8bb11595b61c86:standard-form/v/standard-form-rules

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

To find the total area of the pool and the walkway, we can add the areas of the pool and the walkway together.

Let's assume that the pool has dimensions of length L and width W, and that the walkway has a uniform width of 2 feet all around the pool. This means that the dimensions of the pool plus the walkway will be (L + 4) feet by (W + 4) feet, since we add 2 feet on each side.

The area of the pool alone is given by L x W. The area of the pool plus the walkway is then given by (L + 4) x (W + 4). To simplify, we can use FOIL (First, Outer, Inner, Last) method to expand the expression:

(L + 4) x (W + 4) = LW + 4L + 4W + 16

Therefore, the polynomial expression that represents the total area of the pool and the walkway is:

A(L,W) = LW + 4L + 4W + 16

where A(L,W) is the total area of the pool and walkway as a function of the pool's length and width.

1.Start by assuming that the pool has dimensions of length L and width W, in feet.

2.Since Mrs. Smith wants to add a 2-foot walkway around the edge of the pool, we need to add 2 feet to both the length and width of the pool to get the dimensions of the pool plus the walkway. This means that the dimensions of the pool plus the walkway are (L + 2) feet by (W + 2) feet.

3.To find the area of the pool alone, we can simply multiply the length by the width: A_pool = L x W.

4.To find the area of the pool plus the walkway, we need to multiply the length and width of the larger rectangle that includes both the pool and the walkway. This rectangle has dimensions of (L + 2) feet by (W + 2) feet. Therefore, the area of the pool plus the walkway is:

A_total = (L + 2) x (W + 2)

5.We can simplify this expression by using the distributive property of multiplication. We first multiply L by W to get LW. Then, we multiply L by 2 and W by 2 to get 2L and 2W, respectively. Finally, we add 2 x 2 = 4 to account for the extra area added by the walkway. Therefore, the total area of the pool plus the walkway can be written as:

A_total = LW + 2L + 2W + 4

6.Finally, we can rewrite this expression as a polynomial in standard form, by rearranging the terms in descending order of degree:

A_total = LW + 2L + 2W + 4

    = LW + 2L + 2W + 0x² + 4

    = 0x² + LW + 2L + 2W + 4

So the polynomial expression that represents the total area of the pool and the walkway is:

A(L,W) = LW + 2L + 2W + 4

where A(L,W) is the total area of the pool and walkway as a function of the pool's length and width.

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Answer:

The diameter would be 29.98 kilometers.

Step-by-step explanation:

We know that our circumference is pi * diameter, so we just have to divide 94.2 by pi to solve.

Answer:

30 km

Step-by-step explanation:

We can use the below formula to find the diameter of a circle.

C = π × d

Here,

C ⇒ circumference ⇒ 94.2 km

d ⇒ diameter

To find the diameter make d as the subject in the above formula.

d = C / π

d = 94.2 / 3.14

d = 30 km

Certify Completion Icon Tries remaining: 3 A high school has 52 players on the football team. The summary of the players' weights is given in the box plot. The median weight of the players on the football team is 160 pounds.

The box plot shows that the median weight of the players is the middle value of the distribution. In this case, the median weight is halfway between the 26th and 27th players, which is 160 pounds.

The box plot also shows that the minimum weight of the players is 150 pounds and the maximum weight is 212 pounds. The interquartile range, which is the range of the middle 50% of the data, is 20 pounds.

In conclusion, the median weight of the players on the football team is 160 pounds. This means that half of the players on the team weigh more than 160 pounds and half of the players weigh less than 160 pounds.

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The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

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The surface eof the prism is 6254900

If If z² is directly proportional to x³ and z=8 when x=4 then value of z is 27

If z² is directly proportional to x³, then we can write:

z² = kx³

where k is the constant of proportionality.

To solve for k, we can use the given information that z=8 when x=4:

8² = k(4³)

64 = 64k

k = 1

So now we have:

z²= x³

To find the value of z when x=9, we can substitute into the equation:

z² = 9³ = 729

Taking the square root of both sides, we get:

z = ±27

z = 27

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Answer:

i think more than is the answer

The key reason why this investigation's findings are erroneous is sampling bias. In statistics, sampling bias refers to a bias during which a sample is constructed in a way that makes some members of the intended population less likely than others to be included.

A private university's 100 students, 50 men, and 50 women were randomly chosen to participate in a study on how American college students felt about commuting. They were questioned about their daily commuting distance (in minutes) to college. The key reason why this investigation's findings are erroneous is sampling bias.

When certain individuals of a population are consistently more likely to be chosen in a sample than others, this is known as sampling bias. In the medical sciences, it is also known as ascertainment bias. Because sampling bias jeopardizes external validity, particularly population validity, it restricts the generalizability of findings.

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Answer:

try 1239128981441231241

Step-by-step explanation:

myra

Answer:

3(d - 1)

Step-by-step explanation:

You can factor 3 out from the expression to get 3(d - 1).

Hope this helps :)

Answer:

3(d- 1) = 3d - 3 as factor or  we an re-arrange  to show another  -3 + 3d    so  3(d-1) =3d-3 if asked to rearrange

Step-by-step explanation:   3d -3 = 3(d-3 )An equation states that two expressions are equal in value      But if asked to re-arrange then we would show that 3d-3 = -3 + 3d  as we we remove the bracket and we would re-arrange

When we use the Associative Property to write an expression equivalent to (w+9)+3 we simply place the number outside of the bracket infront of the bracket and multiply by a number that divides cleanly into it so that 3(d-1) = 3d - 3

The largest possible whole-number length for the third side of the triangle is 2 units.

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.  The sum of angles in a triangle is 180 degrees.

The triangle inequality theorem can be used to find the largest possible side whole number length for the third side of the triangle with side length 1 and 2 units.

The triangle inequality theorem describes the relationship between the three sides of a triangle

According to triangle inequality theorem, for any given triangle, the sum of two sides of a triangle is always greater than the third side.

If the sides of the triangle are a, b and c . It follows the rule below:

b + c > a

a + c > b

a + b > c

Let the unknown third side be x.

Hence,

1 + 2 > x

x + 2 > 1

x + 1 > 2

Therefore, the largest is 2 units.

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The following is an excerpt from A First Training in Probability by Sheldon Ross. (74) = 35 is the right response.

Total moves required are 7, as follows:

Three steps up as well as four steps right.

Remember that perhaps the number of paths equals the number of arranged 7-tuples with 3 U's and 4 R's. As instance, the word URRURRU indicates to travel up, right, up, right, right, up.

There are 7 ways to arrange these letters, 7 ways to arrange the corresponding Us, and 7 ways to arrange the comparable Rs, for a total of 7!3!4! (74).

For each NxN grid, we may write the following as a generalization of our formula: It should be noted that there's a simpler method of writing this: D = N! / (K! * (N-K))! additionally known as the binomial coefficient.

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Answer:

\(x=7\text{ and } m\angle KLM = 34^\circ\)

Step-by-step explanation:

We are given ethat KM and JN are parallel.

And we want to find the value of x.

Notice that ∠JKM and ∠LKM form a linear pair. Linear pairs total 180°. Therefore:

\(m\angle JKM + m\angle LKM = 180\)

We know that ∠JKM measures (14x + 8). Substitute:

\((14x+8)+m\angle LKM =180\)

Solve for ∠LKM:

\(m\angle LKM = 172-14x\)

Next, since KM and JN are parallel, by the Corresponding Angles Theorem:

\(\angle JNM \cong \angle KML\)

Since we know that ∠JNM measure (10x + 2), we can conclude that:

\(m\angle KML = 10x+2\)

Next, recall that the three interior angles of a triangle must total 180°. Therefore:

\(m\angle KLM + m\angle LKM + m\angle KML = 180\)

Substitute:

\((5x-1)+(172-14x)+(10x+2)=180\)

Solve for x. Rewrite:

\((5x-14x+10x)+(-1+172+2)=180\)

Combine like terms:

\((1x)+(173)=180\)

Therefore:

\(x=7\)

To find ∠KLM, substitute in 7 for x and evaluate. So:

\(m\angle KLM = 5(7) - 1 =34^\circ\)

The electric field vector at the point (0, -3.00, -8.00)m is:

E = -15î - 6ĵ - 112k V/m

To find the electric field vector at the point (0, -3.00, -8.00)m, we need to calculate the gradient of the given potential function V. The gradient of a scalar function gives us the vector that represents the direction and magnitude of the steepest increase in that function.

The gradient of V with respect to the spatial coordinates (x, y, z) is given by:

∇V = (∂V/∂x)î + (∂V/∂y)ĵ + (∂V/∂z)k

To find the partial derivatives, we differentiate the given expression for V with respect to each variable.

∂V/∂x = 2axz + by ∂V/∂y = bx - 2cz ∂V/∂z = -2axz

Now, substituting the given values for a, b, and c:

∂V/∂x = -14xz + 5y ∂V/∂y = 5x - 6z ∂V/∂z = -14xz

At the point (0, -3.00, -8.00)m, the values for x, y, and z are 0, -3.00, and -8.00 respectively. Plugging these values into the partial derivatives, we get:

∂V/∂x = 0 - 15 = -15 V/m ∂V/∂y = 0 - 6 = -6 V/m ∂V/∂z = 0 - 112 = -112 V/m

Therefore, the electric field vector at the point (0, -3.00, -8.00)m is:

E = -15î - 6ĵ - 112k V/m

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(a) The expected value e∘60 is approximately 1.439, and the variance Var(T(60)) is approximately 0.669.

(b) The expected value e∘60:10 is approximately 0.246, and e∘70 is approximately 0.182.

(c) The hazard rate function 10​m 60 is approximately 0.135.

(d) The conditional expected value e 60:2∣ is approximately 3.413.

(e) The average future lifetime 10​a(60) is approximately 6.705.

(a) The expected value e∘60 is calculated by integrating the product of x and the survival function s(x) from 60 to infinity. The variance Var(T(60)) can be found by subtracting the square of e∘60 from the second moment e∘2 60.

(b) To calculate e∘60:10, we integrate the product of x and the survival function s(x) from 60 to 70. For e∘70, we integrate the product of x and s(x) from 70 to infinity.

(c) The hazard rate function 10​m 60 can be obtained by taking the derivative of the survival function s(x) and dividing it by the survival function itself.

(d) The conditional expected value e 60:2∣ is the expected remaining lifetime given that a person has already survived to age 60. It can be calculated by integrating the product of x and the conditional survival function s(60:x) from 60 to infinity and dividing it by the conditional survival function.

(e) The average future lifetime 10​a(60) is obtained by integrating the conditional survival function s(60:x) from 0 to infinity and dividing it by the conditional survival function itself.

The specific calculations for each of these quantities depend on the provided survival function and the given age values.

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Answer:

s=ut +atsq/2

120=4u+4sq

4u=104

u=26m/sec

Answer:

26 m/s

Step-by-step explanation:

Given

\(s = ut + \frac{1}{2} {at}^{2} \)

When a = 2 , s = 120 and t = 4

Then

\(120 = u \times 4 + \frac{1}{2} \times 2 \times {4}^{2} \\ 120 = 4u + 16 \\ 120 - 16 = 4u \\ 104 = 4u \\ u = \frac{104}{4} \\ u \: = 26

Hope it will help :)❤

Answer:

slope is -3/5

Step-by-step explanation:

3x + 5y = 15

5y = -3x + 15

y = -3/5x + 3

slope is -3/5

She would need 32 1-quart containers because 8 gallons is 32 quarts.

She would need 64 cups because there are 62 pints in 8 gallons.

C.150

Step-by-step explanation:

It is the closest to the answer and you would get closest to that even without really needing to work anything out

The best estimation of summation 61.4 + 88.3 after rounding to the nearest whole number is 150.

To round up or down tens place then we need to look at the unit place if it is less than 5 then we need to keep it as it and if it is greater than 5 then we need to round up tens digit.

Given the sum,

61.4 + 88.3

61.4 + 88.3 = 149.7

Now the decimal place is 7 and if the decimal place is greater than 5 then we can round up the digit.

So,

149.7 → 14(9 + 1) = 150

Hence "Summation 61.4 + 88.3 is best approximated as 150 after being rounded to the next whole number".

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(a) The first ten Fibonacci numbers are: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34. The first ten Lucas numbers are: 2, 1, 3, 4, 7, 11, 18, 29, 47, 76.

(b) The pattern observed is that Fₙ₊₁Fₙ₋₁ - F is always equal to Fₙ². So, the general formula for Fₙ₊₁Fₙ₋₁ - F₂ in terms of n is Fₙ².

(c) The pattern observed is that Lₙ₊₁Lₙ₋₁ - L is always equal to 5Fₙ². So, the formula for Lₙ₊₁Lₙ₋₁ - L in terms of n is 5Fₙ².

(d) The equation F₃+6 = F₆F₄ + F₅F₃ allows us to calculate F₃+6 using the earlier terms F₃, F₄, F₅, and F₆ instead of using F₇ and F₈. By using the equation F₃+6 = F₆F₄ + F₅F₃ and substituting known values, we find that F₂₀ = 80.

Let us discuss in a detailed way:

(a) The first ten Fibonacci numbers are:

F₀ = 0

F₁ = 1

F₂ = 1

F₃ = 2

F₄ = 3

F₅ = 5

F₆ = 8

F₇ = 13

F₈ = 21

F₉ = 34

The first ten Lucas numbers are:

L₀ = 2

L₁ = 1

L₂ = 3

L₃ = 4

L₄ = 7

L₅ = 11

L₆ = 18

L₇ = 29

L₈ = 47

L₉ = 76

(b) Let's calculate Fₙ₊₁Fₙ₋₁ - F for a few values of n:

For n = 2:

F₃F₁ - F₂ = 2 * 1 - 1 = 1

For n = 3:

F₄F₂ - F₃ = 3 * 1 - 2 = 1

For n = 4:

F₅F₃ - F₄ = 5 * 2 - 3 = 7

For n = 5:

F₆F₄ - F₅ = 8 * 3 - 5 = 19

From these calculations, we observe that Fₙ₊₁Fₙ₋₁ - F is always equal to the square of the corresponding Fibonacci number: Fₙ₊₁Fₙ₋₁ - F = Fₙ².

Therefore, a general formula for Fₙ₊₁Fₙ₋₁ - F₂ in terms of n is Fₙ².

(c) Let's calculate Lₙ₊₁Lₙ₋₁ - L for a few values of n:

For n = 2:

L₃L₁ - L₂ = 3 * 1 - 3 = 0

For n = 3:

L₄L₂ - L₃ = 7 * 3 - 4 = 17

For n = 4:

L₅L₃ - L₄ = 11 * 4 - 7 = 37

For n = 5:

L₆L₄ - L₅ = 18 * 7 - 11 = 95

From these calculations, we observe that Lₙ₊₁Lₙ₋₁ - L is always equal to the square of the corresponding Fibonacci number multiplied by 5: Lₙ₊₁Lₙ₋₁ - L = 5Fₙ².

Therefore, a formula for Lₙ₊₁Lₙ₋₁ - L in terms of n is 5Fₙ².

(d) We are given the equation F₃+6 = F₆F₄ + F₅F₃. Let's calculate both sides:

F₃ + 6 = 2 + 6 = 8

F₆F₄ + F₅F₃ = 8 * 3 + 5 * 2 = 34

Both sides of the equation yield the same result, 8.

Therefore, we can indeed use F₃, F₄, F₅, and F₆ to calculate F₃+6 without knowing F₇ and F₈.

To calculate F₂₀, the 21st Fibonacci number, using the most efficient algorithm, we can split it up as F₃+6+11. This means we can use the previously calculated terms F₃, F₄, F₅, F₆, F₁₁, and F₁₆ to calculate F₂₀. By using the given equation F₃+6 = F₆F₄ + F₅F₃ and substituting F₁₁ = F₆ + F₅ and F₁₆ = F₁₁ + F₅, we can calculate F₂₀:

F₃+6 = F₆F₄ + F₅F₃

F₁₁ = F₆ + F₅

F₁₆ = F₁₁ + F₅

F₃+6 = F₁₆F₄ + F₁₁F₃

F₃+6 = (F₁₁ + F₅)F₄ + F₁₁F₃

F₃+6 = (F₆ + F₅)F₄ + F₆F₃ + F₅F₃

F₃+6 = F₆F₄ + F₅F₄ + F₆F₃ + F₅F₃

F₃+6 = F₆(F₄ + F₃) + F₅(F₄ + F₃)

F₃+6 = F₆F₅ + F₅F₆

Substituting the previously calculated values:

F₃+6 = 8 * 5 + 5 * 8 = 80

Therefore, F₂₀ = F₃+6 = 80.

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Answer:

So I think your answer is Zero

I think it will help you.

The given relation can be written as:

y = $5*x + $20

Notice that we have a constant term, thus it is not a proportional relation.

A general proportional relationship can be written as:

y = k*x

Where k is a constant of proportionality.

The given case is:

" A bike rental store charges $20 as a flat fee, plus $5 per hour."

We know that there is a flat fee of $20 plus $5 per hour, so we can write the equation:

y = $5*x + $20

Notice that we have a constant term, thus, it is not a proportional relation.

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Answer:67%

Step-by-step explanation:

Answer:

6x-5y-40 = 0

Step-by-step explanation:

y-(-2)=6/5(x-5)

5(y+2)= 6(x-5)

5y+10 =6x-30

6x-5y-40 = 0

6x-5y-40 = 0 is the answer

Answer:

2 × 2 × 2 × 2 × 2 × 5

2 × 2 × 2 × 2 × 2 × 5 = 160

Index Form ↓

2^5 × 5

(2 to the power of 5 times 5)

Step-by-step explanation:

The following system answer is no solution. Change one number to make the system an infinite solution and explain why it is now an infinite solution.

12y = 17 - 9x

-4y - 3x = 31

Answer:

No

Step-by-step explanation:

Answer:

The answer is No.

Step-by-step explanation:

have a great day

The work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

To calculate the work required to pump all the water over the edge of the tank, we need to consider the weight of the water in the tank and the height it is lifted.

First, let's find the volume of the water in the tank. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. Plugging in the values, we have:

V = (1/3)π(3²)(12)

= (1/3)π(9)(12)

= 36π

Next, we need to find the weight of the water. The weight of an object is given by the formula W = mg, where m is the mass and g is the acceleration due to gravity. The mass of the water can be found by multiplying its volume by the density of water, which is approximately 62.4 pounds per cubic foot:

m = (36π)(62.4)

≈ 22619.47 pounds

Now, we can calculate the work done by multiplying the weight of the water by the height it is lifted. In this case, the height is 12 feet:

W = (22619.47)(12)

≈ 271433.64 foot-pounds

Therefore, the work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

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The work required to pump water out of an inverted conical tank involves calculating the pressure-volume work at infinitesimally small volumes within the tank and integrating this over the entire volume of the tank. This provides an interesting application of integral calculus in Physics.

The question requires the concept of work in Physics applied to a fluid, in this case, water lying within an inverted conical tank. Work is done when force is applied over a distance, as stated by work = force x distance. In the fluid analogy, the 'force' link is the pressure exerted on the water and the distance is the change in volume of the fluid. Therefore, work done (W) = Pressure x Change in Volume (ΔV).

In this scenario, you are required to pump out water from an inverted conical tank, hence, the work you do is against the gravitational force pulling the water downwards. To calculate the total work done, you have to consider the work done at each infinitesimally small (hence, constant pressure) strip of volume and integrate over the entire volume of the tank.

The detail of calculation would require the knowledge of integral calculus and the formula for volume of a cone. I recommend considering this as an interesting application of integrals in Physics. Also remember that the volume of a cone = 1/3πr²h, where 'r' is the radius of base and 'h' is the height of cone.

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