In training for a swim meet, Logan swam 750 meters in 1.3 of a hour. His swimming partner , Mila swam 2.3 of Logan's distance in 1.4 of a hour. What is Logan's average swimming speed? What is Mila's average swimming speed? Compare Mila's and Logan's swimming speed.

Answer:

1.)no

2.)yes

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

x= 5 when y = 12

y = 30 = 12 x 2.5 (do the same to the other number)

5 x 2.5 = 12.5

Ace C.a.r.l.o.s.

Answer:

39 degrees

Step-by-step explanation:

97+44= 141

141 - 180 = 39

When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.

In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.

On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.

When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.

Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.

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Answer:mode is 0

`

Step-by-step explanation:mode is the most repeated value

The type of function that represents function g(x) is given as follows:

Logarithmic.

To define the function in this problem, we must observe a pattern with the inputs and the outputs.

The input and output pairs are given as follows:

From the pattern, we can see that each output is obtained as the power of 3 to which the input is elevated.

This means that the function is a logarithmic function, more specifically the logarithm of base 3 of x.

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A sampling technique that is based on the cumulative effect of information that every additional item in the sample adds as it is inspected is called: sequential sampling.

What is sequential sampling?

Sequential sampling is a non-probability sampling strategy where the researcher selects one or more populations within a time frame, conducts his research, evaluates the findings, and then selects further populations as necessary.

An auditor develops a set of three groups of sampling units, where each successive group contains the same number of units to be sampled. The sampling plan is to continue to the next group of sampling units if the preceding group contains at least one deviation

Simple random sampling, systematic sampling, stratified sampling, and cluster sampling are examples of probability sampling techniques.

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Answer:

B or D

Step-by-step explanation:

if it is two die being rolled it's B. but if it's one die being rolled it's D.

Answer:

ser srfsfsfd esdf esdfes df

Step-by-step explanation:

es dfe sdfsesdfe sdfes sdfes dfe s

Answer:

-6/7

Step-by-step explanation:

math

Answer:

\(x = - \frac{6}{7} \)

Step-by-step explanation:

7x + 12 = 6

7x = 6 - 12

7x = -6

\(x = - \frac{6}{7} \)

(a) The dimensions of the kitchen are 10ft by 18ft.

(b) The contractor should order 370 square feet of tile.

(a) Let's assume the width of the kitchen is x feet. According to the problem, the length of the kitchen is 8ft longer than the width. So, the length would be (x + 8) feet.

The perimeter of a rectangle is given by the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width. In this case, the perimeter is given as 72ft. Substituting the values into the formula, we get:

72 = 2((x + 8) + x)

Simplifying the equation, we have:

72 = 2(2x + 8)

Dividing both sides of the equation by 2, we get:

36 = 2x + 8

Subtracting 8 from both sides, we have:

28 = 2x

Dividing both sides by 2, we get:

x = 14

So, the width of the kitchen is 14ft, and the length is (14 + 8) = 22ft.

Therefore, the dimensions of the kitchen are 14ft by 22ft.

(b) To find the number of square feet of tile needed, we need to calculate the area of the kitchen. The area of a rectangle is given by the formula: A = length × width. Substituting the values, we get:

A = 14 × 22

A = 308 square feet

To account for waste, the contractor adds an additional 20%. To calculate the additional amount, we multiply the area by 20% and add it to the original area:

Additional amount = 0.2 × 308 = 61.6 square feet

Rounding this value to the nearest square foot, we get 62 square feet.

Finally, the total amount of tile the contractor should order is the sum of the original area and the additional amount:

Total tile = 308 + 62 = 370 square feet

Rounding this value to the nearest square foot, the contractor should order 370 square feet of tile.

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Answer: start out with -10=10 x n-9

next divided 10. -10 divided by 10 = -1

-1 = n-9

now add 9 to both sides

8 = n

there is your solution!!!

Step-by-step explanation:

Answer:

OC. log,8

Step-by-step explanation:

5 log,2 -log,4, = 0.903089987

log,8, = same as above

The expression  \(5log2-log4\) is equivalent to  \(log8\)  which is option c.

A logarithm answers the question "How many of this number do we multiply to get that number?" Example How many 2s must we multiply to get 8 that is 3.

Given,

\(5log2-log4\)

= \(log2^5-log4\)

= \(log32-log4\)

= \(log\frac{32}{4}\)

= \(log8\)

Hence, the expression  \(5log2-log4\) is equivalent to  \(log8\) .

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find the equation of the tangent line to the function f(x)=−2x3−4x2−3x 2 at the point where x=−1.

The equation of the tangent line to the function f(x) at the point where x = −1 is y = −4x − 3

To find the equation of the tangent line to the function f(x) at the point where x = a (given a value), follow these

steps: 1. Find the derivative f′(x) of the function.

2. Evaluate f′(a) by substituting the value a in the derivative. T

his gives the slope of the tangent line to the function at x = a.3. Use the point-slope form of the equation of a line to find the equation of the tangent line at the point where x = a. Therefore, let's use these steps to find the equation of the tangent line to the function f(x)=−2x3−4x2−3x2 at the point where x=−1.

Step 1: Find the derivative f′(x) of the function.f(x) = −2x³ − 4x² − 3x

f′(x) = d/dx [-2x³ − 4x² − 3x²]f′(x) = −6x² − 8x − 6

Step 2: Evaluate f′(−1) by substituting the value −1 in the derivative.

f′(−1) = −6(−1)² − 8(−1) − 6

f′(−1) = −6 + 8 − 6

f′(−1) = −4

Therefore, the slope of the tangent line to the function f(x) at x = −1 is −4.

Step 3: Use the point-slope form of the equation of a line to find the equation of the tangent line at the point where x = −1.

Point-slope form: y − y₁ = m(x − x₁)where m is the slope of the line and (x₁, y₁) is a point on the line. Substitute the slope m = −4 and the point (−1, f(−1)) = (−1, 1) into the point-slope form to find the equation of the tangent line:

y − 1 = −4(x − (−1))

y − 1 = −4(x + 1)

y − 1 = −4x − 4

y = −4x − 4 + 1

y = −4x − 3

Therefore, the equation of the tangent line to the function f(x) at the point where x = −1 is y = −4x − 3 in the form y = mx + b. Answer: y = −4x − 3.

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To calculate the total charge within the cylinder with dimensions r=1.5 and h=3, we use the potential function V = 5r + 4 cos Ø in cylindrical coordinates.

The total charge can be obtained by integrating the charge density over the volume of the cylinder.

The potential V within the cylinder is given by V = 5r + 4 cos Ø, where r represents the radial distance from the axis of the cylinder and Ø represents the angle in the cylindrical coordinate system. To calculate the total charge within the cylinder, we need to integrate the charge density over its volume.

The charge density ρ can be related to the potential by ρ = -∇²V, where ∇² is the Laplacian operator. In cylindrical coordinates, the Laplacian operator takes the form:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز + ∂²/∂z²

Since the potential function V does not depend on the z coordinate, the Laplacian reduces to:

∇² = (1/r) ∂/∂r (r ∂/∂r) + (1/r²) ∂²/∂ز

Applying this operator to the potential function V, we find:

∇²V = (1/r) ∂/∂r (r ∂V/∂r) + (1/r²) ∂²V/∂ز

To find the charge density, we substitute this expression into ρ = -∇²V:

ρ = -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز

To calculate the total charge, we integrate the charge density ρ over the volume of the cylinder:

Q = ∫∫∫ ρ dV = ∫∫∫ -(1/r) ∂/∂r (r ∂V/∂r) - (1/r²) ∂²V/∂ز dV

The integration is performed over the cylindrical coordinates r, Ø, and z, with appropriate limits. Evaluating this integral will give us the total charge within the cylinder.

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Answer:

y ≤ 1/3x - 4

Step-by-step explanation:

it could not be options 3 or 4 because the y-intercept is -4, not +4

I picked a point in the shaded area to see which inequality, the first or the second, would make it true; the point I used was (3, -4)

1st option:  y ≥ 1/3x - 4        Is this true? -4 ≥ 1/3(3)  No, -4 is not GE 1

2nd option: y ≤ 1/3x - 4        Is this true? -4 ≤ 1/3(3)  Yes, -4 is LE 1  

Answer:

Step-by-step explanation:

Formula:

r = √[ (3 * v) / (π * h) ]

The equation of the tangent line to the curve f(x) at x=-5 is y = 34x + 185, in the y=mx+b form.

To find the equation of the tangent line to the curve f(x) at x=-5, we need to find the slope of the curve at that point, which is given by the derivative of the function evaluated at x=-5.

f(x) = -4x² - 6x + 15

f'(x) = -8x - 6

f'(-5) = -8(-5) - 6 = 40 - 6 = 34

Therefore, the slope of the tangent line to the curve f(x) at x=-5 is 34.

Next, we need to find the y-intercept of the tangent line. We know that the point (-5, f(-5)) is on the tangent line. We can find f(-5) as follows:

f(-5) = -4(-5)² - 6(-5) + 15 = -100 + 30 + 15 = -55

Therefore, the point (-5, -55) is on the tangent line, and we can use the point-slope form of the equation of a line to find the equation of the tangent line.

y - y1 = m(x - x1)

where (x1, y1) = (-5, -55) and m = 34.

Simplifying this equation, we get:

y - (-55) = 34(x - (-5))

y + 55 = 34(x + 5)

y = 34x + 185

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The limit doesn't exist.

The value that a function (or sequence) approaches when the input (or index) gets closer to a particular value is known as a limit. Calculus and mathematical analysis are impossible without limits, which are also required to determine continuity, derivatives, and integrals.

In addition to being closely related to limit and direct limit in category theory, the idea of a limit of a sequence is further generalized to include the concept of a limit of a topological net.

A function's limit is typically expressed in formulas as

\(\lim_{x \to c } F(x) = L\)

It is typically used to assign values to specific functions at locations where none are defined while maintaining consistency with existing values.

\(F(x) = -x+8 ,x\leq 0\)

\(F(x) = 4x+9 , if x > 0\)

\(\lim_{x \to 0^{+} } F(x) = \lim_{n \to 0^{+} } (4x+9) = 9\)

\(\lim_{x \to 0^{-} } F(x) = \lim_{x \to 0^{-} } (-x+8) =8\)

\(\lim_{x \to 0^{+} } F(x) \neq \lim_{x \to 0^{-} } F(x)\)

So limit doesn't exist

For limit to exist

\(\lim_{x \to 0^{+} } F(x) = \lim_{x \to 0^{-} } F(x) = \lim_{x \to 0} f(x)\)

must be satisfied

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Answer:

If triangle EFD is similar to ABC then side EF = 9 cm

Step-by-step explanation:

Answer:

A -1,7

B 1,5

C -2,4

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

1. 6 and 6sqrt(2)

2. 5 and 5sqrt(3)

3. 3 and 3

4. 12 and 6sqrt(3)

5. 2 and 2

6. 4 and 8

7. 6/sqrt(2) and 6/sqrt(2)

8. 9/sqrt(3) and 18/sqrt(3)

9.4/sqrt(2) and 4/sqrt(2)

10. 3 and 3sqrt(3)

11. 5 and 5sqrt(2)

12. 12/sqrt(3) and 24/sqrt(3)

Answer:

2.03403 * 10^2

Step-by-step explanation:

Here, we want to write the given number in standard form

Firstly, we need to write the number in the normal form;

Mathematically, that will be;

203.403

Now, to write in standard form, we move the zero to the back of the first non-zero digit which is 2

What we have in this case will be:

2.03403

How many times did we move the decimal point?

The decimal point was moved two times

So, what we have is that the number two will become a power of 10

So therefore, we have it that;

2.03403 * 10^2

Kindly note that if the movement was to the left, the power becomes a negative number on 10

Answer:Think of what you have and what you like.

Step-by-step explanation: For example, if your jealous of someone's looks just think of what you look like and think of how many people wish to be like you.

Answer:

The two numbers are 84 and 85

Step-by-step explanation:

13^2 = 169

So let the first consecutive number = x

Let the second consecutive number = x + 1

13^2 = 13*13 = 169         Develop the equation

x + x + 1 = 169               Combine Like terms on the left

2x + 1 = 169                  Subtract 1 on both sides.

2x = 169-1                     Combine the terms on the right

2x = 168                        Divide by 2

x = 168/2

x = 84

The probability of meeting the manager's objectives is 0.0118.

The probability of meeting the manager's objectives if members for the team and the captain were randomly selected is very low, at 0.0118.

This is due to the fact that there are 50 basketball players in total, and the manager wants to select 5 of them, with 2 of them being seniors, 3 of them being juniors, and one of the seniors to be the captain.

This narrows the number of possibilities greatly and makes it a difficult task for the manager to fulfill.

Furthermore, the fact that the selection process is random does not help either.

This means that the manager has no control over who is chosen, and thus has to hope that the randomly selected group fulfills the desired criteria.

This makes the probability of meeting the manager's objectives even lower, as the chances of a completely random selection meeting the criteria is very low.

In conclusion,

The probability of meeting the manager's objectives if members for the team and the captain were randomly selected is very low, at 0.0118.

This shows that it is a difficult task for the manager to fulfill, and that the selection process should be carefully considered if they want to ensure that they meet their objectives.

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The final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).

To express the given description as a symbolic expression and then convert it into an exponential expression in fractional form, we'll follow these steps:

Step 1: Symbolic Expression

The description states "the eighth root of fifty-seven to the sixth degree." Let's denote this as √[57]^(1/8)^6.

Step 2: Removing Radical

To eliminate the radical (√), we can rewrite it as a fractional exponent. The numerator of the fractional exponent corresponds to the power (6) applied to the base, and the denominator corresponds to the index of the root (8).

So, the expression becomes (57^(1/8))^6.

Step 3: Simplifying Exponents

To simplify the exponent, we multiply the powers:

(57^((1/8)*6))

Simplifying further:

(57^(6/8))

Step 4: Fractional Form

The exponent 6/8 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:

(57^(3/4))

Therefore, the final exponential expression in fractional form for "the eighth root of fifty-seven to the sixth degree" is 57^(3/4).

This means that we raise 57 to the power of 3/4 to represent the original description. The fraction 3/4 indicates taking the eighth root of 57 and then raising it to the sixth power.

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The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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The actual distance between the two cities is 288 miles.

A scale drawing is a smaller version of a larger image / city. The scale drawing is reduced by a constant ratio.  This means that the scale drawing of the two cities would be smaller than the actual cities.

The scale is used to keep the proportion of the dimensions between the scale drawing and the original diagram similar. This means that the scale drawing of the two cities would be smaller than the actual cities.

The actual distance between the two cities = (3 x 24) ÷ 1/4

= 3 x 24 x 4 = 288 miles

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