find the cube root of 125 ​

Answer:

8

Step-by-step explanation:

16 inchers = 128 feet

128/16=8

so 1 inch = 8 feet

Answer:

16 inches:128 feet = 1 inch:8 feet

The mean of the sample size of 25 would fall between 68 and 72 68% of the time.

Using the 68-95-99.7 rule, if a variable is normally distributed with mean μ and standard deviation σ, then:

Since the interval we are interested in (68 to 72) falls within the 68% of the data that falls within 1 standard deviation of the mean, it means that 100% - 32% = 68% of the data falls within this interval.

Thus, the mean of this sample size of 25 would fall between 68 and 72 68% of the time.

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Answer:

x=13

y=13√2

Step-by-step explanation:

Since this is a 45,45,90 triangle. The two sides are equal this means that x will be equal to 13. Then, a side times the √2 is equal to the hypotenuse or y. this means that y will be equal to 13√2.

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A person weighing 173 pounds can burn 10.7 calories per minute.

The given equation is ŷ=2.2+0.05x.

To solve this question, we can use the equation given, ŷ=2.2+0.05x. We can insert the known weight value, 173 pounds, to calculate the anticipated calories burned per minute.

y = 2.2 + 0.05x

y = 2.2 + 0.05 × 173

y = 10.7

Therefore, a person weighing 173 pounds can burn 10.7 calories per minute.

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"Your question is incomplete, probably the complete question/missing part is:"

By observing a set of data values, Thomas used a calculator for the weight (in pounds) and predicted the number of calories burned per minute to get an equation for the least-squares line: ŷ=2.2+0.05x

Based on the information gathered by Thomas, select the statement that is true.

a) A person weighing 149 pounds can burn 9.8 calories per minute.

b) A person weighing 134 pounds can burn 8.9 calories per minute.

c) A person weighing 125 pounds can burn 8.3 calories per minute.

d) A person weighing 173 pounds can burn 10.7 calories per minute.

Answer:

A person weighing 134 pounds can burn 8.9 calories a minute.

Step-by-step explanation:

The different ways in which she can jump up a set of five steps is: 4 + 3 + 1 = 8 ways.

By choosing some items from a set and creating subsets, permutation and combination are two approaches to represent a group of objects. It outlines the numerous configurations for a particular set of data. Permutations are the selection of data or objects from a set, whereas combinations are the order in which they are represented. Both ideas are critical to mathematics.

Here, the differences between permutation and combination are described in detail.

The given steps are 5.

Thus, we have the following possibilities:

For 1 double step and 3 single steps:

4! / 3! = 4

For 2 double steps and 1 single step:

3! / 2! (1!) = 3

For 5 single steps: 1 way

Thus, the different ways in which she can jump up a set of five steps is:

4 + 3 + 1 = 8 ways.

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Answer:

6

Step-by-step explanation:

There are 46 children attending the field trip.

Each van needs to transport 8 children.

To find the number of vans they need, we will divide the number of children by the number of children per van:

46 / 8 = 5.75 ≅ 6 vans

They need 6 vans.

Based on the given values, the function p(x) is not a probability mass function since it does not satisfy the requirement that the sum of probabilities equals 1.

To determine if the function p(x) is a probability mass function (PMF), we need to check if it satisfies the properties of a valid PMF.

1. Non-negativity: The values of p(x) must be non-negative. In the given function, p(x) takes the values 0, 0.3, 0.6, and 0.2, all of which are non-negative. So, the first property is satisfied.

2. Sum of probabilities: The sum of all probabilities p(x) must be equal to 1. Let's check if this property holds:

  p(1) + p(2) + p(4) + p(7) = 0 + 0.3 + 0.6 + 0.2 = 1.1

  Since the sum of probabilities is greater than 1 (1.1 in this case), the function p(x) does not satisfy the property of a valid PMF.

Therefore, based on the given values, the function p(x) is not a probability mass function since it does not satisfy the requirement that the sum of probabilities equals 1.

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Answer: the ratio is 6:4

Step-by-step explanation:

the amount of large bones is 4 so:4 and the number of small bones is 6 so  6:

so the answer is 6:4

Answer:

3:2

Step-by-step explanation:

4/2=2

6/2=3

find the common factor which is 2, divide both by 2

please mark me brainest

Answer:

D

Step-by-step explanation:

2x(x^4 + 6x^2 - 27)

x^4 + 6x^2 - 27 = 0

x^2 = y

y^2+ 6y - 27 = 0

(y+9)(y-3) = 0

(x^2+9)(x^2-3) = 0

2x(x^2-3)(x^2+9)

Answer:

The answer is B

Answer:

D

Step-by-step explanation:

It's D because 60 +70 +(180-130)=180

= 60+70+50=180

To determine the equation of the tangent plane and normal line of the given curve at the point P(2, -3, 18), we need to find the partial derivatives of the function f(x, y, z) = x^2 + y^2 - 2xy - x + 3y - z - 4.

Taking the partial derivatives with respect to x, y, and z, we have:

fx = 2x - 2y - 1

fy = -2x + 2y + 3

fz = -1

Evaluating these partial derivatives at the point P(2, -3, 18), we find:

fx(2, -3, 18) = 2(2) - 2(-3) - 1 = 9

fy(2, -3, 18) = -2(2) + 2(-3) + 3 = -7

fz(2, -3, 18) = -1

The equation of the tangent plane at P is given by:

9(x - 2) - 7(y + 3) - 1(z - 18) = 0

Simplifying the equation, we get:

9x - 7y - z - 3 = 0

To find the equation of the normal line, we use the direction ratios from the coefficients of x, y, and z in the tangent plane equation. The direction ratios are (9, -7, -1).Therefore, the equation of the normal line passing through P(2, -3, 18) is:

x = 2 + 9t

y = -3 - 7t

z = 18 - t

where t is a parameter representing the distance along the normal line from the point P.

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Answer:

(y+2)= -3(x-7)

Step-by-step explanation:

We can use the slope-intercept formula to write this equation. The slope-intercept form of a linear equation is:  

y = m x + b

 Where  m  is the slope and  b  is the y-intercept value.

We can substitute the slope into the formula giving:

y = − 3 x + b

Next, we can substitute the values from the points in the problem for  x  and  y  and solve for  b :

− 2 = ( − 3x 7 ) + b  

− 2 =  − 21 + b

21 − 2 = 21  − 21 + b

 19 = 0 + b

19 = b

We can now substitute the slope from the problem and the value for  b  we calculated into the formula to write the equation.

y = − 3 x + 19

Another process is to use the point-slope formula. The point-slope formula states:

 ( y − y 1 ) = m ( x − x 1 )

 Where  m  is the slope and  ( x 1 , y1 )  is a point the line passes through.

Substituting the slope and values from the points in the problem gives:

(y − − 2 ) = − 3 (x-7)

( y + 2 ) =  − 3 ( x − 7 )

The range of the function f(x) = log5x is (-∞, +∞).The function f(x) = log5x represents the logarithm base 5 of x. To determine the range of this function, we need to consider the possible values that the logarithm can take.

The range of the logarithm function y = log5x consists of all real numbers. The logarithm function is defined for positive real numbers, and as x approaches 0 from the positive side, the logarithm approaches negative infinity. As x increases, the logarithm function approaches positive infinity.

The range of the function is the set of all possible output values. In this case, the range consists of all real numbers that can be obtained by evaluating the logarithm

log5(�)log 5 (x) for �>0 x>0.

Since the base of the logarithm is 5, the function log5x will take on all real values from negative infinity to positive infinity. Therefore, the range of the function f(x) = log5x is (-∞, +∞).

In other words, the function can output any real number, ranging from negative infinity to positive infinity. It does not have any restrictions on the possible values of its output.

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Answer: All real numbers

Step-by-step explanation:

Edge

A circle and a triangle can intersect in a point.

This refers to the fact that two lines are able to meet at a given point. The point where they meet is the point of intersection.

A circle is known to be able to intersect with a triangle in three different ways and at one point.

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The success of a student's transformation can be determined by analyzing their performance data, but there may be external factors that could affect the outcome, and further analysis may be necessary.

If the student's data show a clear improvement in their performance, skills, or knowledge after undergoing a specific transformation, then we can say that the transformation was successful. On the other hand, if there is no discernible improvement or even a decline in the student's performance, we can infer that the transformation was unsuccessful.

However, in some cases, the data might not be entirely conclusive, and there could be other factors affecting the outcome. For example, a student may have made some progress, but not enough to meet the expected outcomes fully. In such cases, we might need to analyze the data more thoroughly to determine the extent of the transformation's success.

There could be several reasons why a student's data might not match the expected outcome of a successful transformation. For instance, the student might not have fully embraced the transformation or might have faced challenges or obstacles that hindered their progress. Additionally, external factors such as socioeconomic background, family support, and access to resources could also impact the results.

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Answer: y = 16807

Step-by-step explanation:

7 * 7 * 7 * 7 * 7 * 7 = 117649

7^16807 = 117649

\(f(x) = \cos^2 x \\\\f'(x) = 2 \cos x ( - \sin x) = - 2 \cos x \sin x = -\sin 2x\\\\f''(x) = -2\cos 2x\\\\\text{The second derivative of}~ \cos^2 x ~ \text{is}~ -2 \cos 2 x\)

Answer:

Step-by-step explanation:

Equation of the line passing through  (1, -9) and (1, 12) is y = -9

The equation to the line in  slope intercept form

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

calculation of slope, m for (1, -9) and (1, 12)

(y - y₁) /  (x - x₁)   = m

m = (-9 - 12) /  (1 - 1)

m = 1 / 0

m = undefined slope (this is the slope of vertical line)

equation of the line  (1, -9)

(y - -9) = 0

y + 9 = 0

y = -9

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Answer:

The rate of change is 8

Step-by-step explanation:

put the 16 as the numerator then the 2 hours as the denominator then divide by 2 to get you 8 dollars for 1 hour

The length of the side ZY would be 9.

What is a similar triangle?

Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles and squares of any side length are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and their corresponding sides are in equal proportion.

Given:If Triangle ABC = Triangle XYZ and AB = 15, BC = 9, and XZ =8

As in the given question, they have stated that both triangles are the same.

Then by the property of the similar triangles, their sides are also in equal proportion so

Length of ZY = Length of CB

Length of CB = 9

Length of ZY = 9.

Hence, the length of the side ZY would be 9.

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The 3-month simple moving average for May is 132.

To calculate the 3-month simple moving average for May, we need to take the average of the demand values for the three preceding months (February, March, and April).

The demand values for these months are 120, 134, and 142, respectively. To find the moving average, we sum these values and divide by 3 (the number of months):

Moving Average = (120 + 134 + 142) / 3 = 396 / 3 = 132

Therefore, the 3-month simple moving average for May is 132.

The simple moving average is a commonly used method to smooth out fluctuations in data and provide a clearer trend over a specific time period. It helps in identifying the overall direction of demand changes. By calculating the moving average, we can observe that the average demand over the past three months is 132 units. This provides an indication of the demand trend leading up to May. It's important to note that the moving average is a lagging indicator, as it relies on past data to calculate the average.

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a. The Lagrangian function is given as:

L = x3 - 6x2 + 11x - 6 - λ (x - 2) + µ (x - 3)

b. The KKT conditions are:

∂L / ∂x = 3x2 - 12x + 11 - λ + µ = 0 2. λ (x - 2) = 0 and µ (x - 3) = 0 3. λ ≥ 0, µ ≥ 0 4. 2 ≤ x ≤ 3

c. The constraints in this problem are active because λ and µ are both strictly positive.

The given constrained optimization problem is:

min x3 - 6x2 + 11x - 6s.t. 2 ≤ x ≤ 3

a. The Lagrangian function is given as:

L = x3 - 6x2 + 11x - 6 - λ (x - 2) + µ (x - 3) where λ and µ are the Lagrange multipliers.

b. KKT conditions:

Let x* be the optimal solution.

Then the KKT conditions for this problem are:

KKT conditions:

1. ∂L / ∂x = 3x2 - 12x + 11 - λ + µ = 0 2. λ (x - 2) = 0 and µ (x - 3) = 0 3. λ ≥ 0, µ ≥ 0 4. 2 ≤ x ≤ 3

c. Constraints active? Why?

We can see that λ and µ are non-negative and one of them must be zero. Also, the third KKT condition tells us that the constraints x - 2 and x - 3 are either both inactive or one is active with its corresponding multiplier being zero. Therefore, the constraints in this problem are active because λ and µ are both strictly positive.

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The steps for solving the expression 8 x 3 (4213) + 52 + 4 x 3 in the correct order are 16, 384, 12, 436, 448.

To solve the expression 8 x 3 (4213) + 52 + 4 x 3 using the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), the steps should be performed in the following order:

Start by simplifying the expression within the parentheses: 4213 = 16.

Expression becomes: 8 x 3 x 16 + 52 + 4 x 3

Perform the multiplication operations from left to right:

8 x 3 x 16 = 384

Expression becomes: 384 + 52 + 4 x 3

Continue with any remaining multiplication operations:

4 x 3 = 12

Expression becomes: 384 + 52 + 12

Perform the addition operations from left to right:

384 + 52 = 436

Expression becomes: 436 + 12

Finally, perform the remaining addition operation:

436 + 12 = 448

Therefore, the steps for solving the expression 8 x 3 (4213) + 52 + 4 x 3 in the correct order are:

16, 384, 12, 436, 448.

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The weight of the Avery's lunch box using given weights is equal to 0.92 pounds (rounded to two decimal places).

Total weight of the backpack= 2 2/3 pounds

                                                = 8/3 pounds

The weight of the each book =7/8 pounds.

Let x be the weight of the lunch box in pounds.

An equation that represents the total weight in Avery's backpack,

2(7/8) + x = 8/3

To solve for x, simplify and solve for x,

⇒14/8 + x = 8/3

Multiplying both sides by 24 the least common multiple of 8 and 3 to clear the fractions,

⇒42 + 24x = 64

Subtracting 42 from both sides,

⇒24x = 22

Dividing both sides by 24,

⇒x = 22/24

Simplifying the fraction,

⇒x = 11/12

     =  0.92 pounds (rounded to two decimal places).

Therefore, the  weight of the lunch box is equal to 0.92 pounds (rounded to two decimal places).

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Step-by-step explanation:

5x+4=8+5x

solution

5x-5x=8-4

x=4

I hope this will help you

thank you ❤️