A company is moving large equipment in the boxes in the shape of cubes that holds 2000 ft.³ the company needs to move the boxes by placing them on square platforms the square base of the cube must entirely say on the square platform the Square platforms have side lengths that only come in whole foot lengths What is the smallest whole foot length that could be used for the square platforms

The equation of the transformed function is f(x)= -1/3\(\sqrt{2(x-6)}\) -3.

Given that,

The f(x) = square root of X base function is transformed by a reflection in the x-axis, a vertical stretch by a factor of 3, a horizontal compression by a factor of 1/2, a vertical translation by a factor of 3, a vertical translation by a factor of 3 down, and then a horizontal translation by a factor of 6 right.

We have to verify the changed function's equation.

Take the function

f(x)=√x

The function reflection in the x-axis,

f(x)=-√x

The function is vertical stretch by a factor of 3.

f(x)= -1/3√x

The function is horizontal compression by a factor of 1/2.

f(x)= -1/3\(\sqrt{2x}\)

The function is vertical translation by a factor of 3 down,

f(x)=  -1/3\(\sqrt{2x}\) -3

The function is horizontal translation by a factor of 6 right.

f(x)= -1/3\(\sqrt{2(x-6)}\) -3

Therefore, The equation of the transformed function is f(x)= -1/3\(\sqrt{2(x-6)}\) -3.

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Answer:

x = 3

Step-by-step explanation:

4 ( x - 7 ) = -6x + 12

→ Expand brackets

4x - 28 = -6x + 12

→ Add 6x to both sides

10x - 28 = 12

→ Add 28 to both sides

10x = 30

→ Divide both sides by 10

x = 3

Answer:

The answer is below

Step-by-step explanation:

The z score is a measure used in statistic to determine the number of standard deviations by which the raw score is above or below the mean. . The z score is given by:

\(z=\frac{x-\mu}{\sigma}\\ where\ \mu \ is \ the\ mean, \sigma\ is\ the\ standard\ deviation\ and\ x \ is\ the\ raw\ score\)

(a) Z = -0.12 and Z = 0.12

From the normal distribution table, Area between z equal -0.12 and z equal 0.12  = P(-0.12 < z < 0.12) = P(z < 0.12) - P(z < -0.12) = 0.5478 - 0.4522 = 0.0956 = 9.56%

b) The area that lies between Z = - 0.35 and Z=0

From the normal distribution table, Area between z equal -0.35 and z equal 0  = P(-0.35 < z < 0) = P(z < 0) - P(z < -0.35) = 0.5 - 0.3594 = 0.1406 = 14.06%

c) The area that lies between Z = 0.02 and Z = 0.82

From the normal distribution table, Area between z equal 0.02 and z equal 0.82  = P(0.02 < z < 0.82) = P(z < 0.82) - P(z < 0.02) = 0.7939 - 0.5080 = 0.2859 = 28.59%

1. the gradient between (1,4) and (4,19) is:

(19 - 4) / (4 - 1) = 15 / 3 = 5

2. The gradient between (3,9) and (5,5) is:

(5 - 9) / (5 - 3) = -4 / 2 = -2

3. The gradient between (-3,4) and (-1,18) is:

(18 - 4) / (-1 + 3) = 14 / 2 = 7

The new coordinates after a reduced scale factor of 0.77 with the origin will be equal to (−10, 10), (20, 40), (30, 30). Hence, option B is correct.

In math, graph science is the theory of geometric structures called graphs that are used to represent pairwise different objects. Vertices—also known as nodes or points—that are joined by edges make form a network in this sense.

Undirected graphs, where edges connect two vertices equally, and focused therapy, where edges connect two vertices unevenly, are distinguished.

As per the data given in the question,

We will combine the x and y dimensions even by scale factors to shrink the picture by a multiplier of 0.77 with both the origins as that of the center of dilatation because the figure's vertices are (-13, 13), (26, 52), and (39, 39).

So, the first point is (-13, 13)

-13 × 0.77 = -10 and,

13 × 0.77 = 10

So, the new point is (-10, 10).

The second point is (26, 52).

26 × 0.77 = 20

52 × 0.77 = 40

So, the new point is (20, 40)

The third point is (39, 39)

39 × 0.77 = 30

39 × 0.77 = 30

So, the new point is (30, 30).

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The ratio of John's money to Peter's money is 5/4. This means if John has a total amount of 5 then Peter will have a total of 4 as his amount.

Let's assume John has 'x' amount of  money, Peter has 'y' amount of money, The money John saved is 'p' and the money Peter saved is 'q'

So,

p = x - 80x/100                (equation 1)

q = y - 75y/100                (equation 2)

According to the given question, the amount John saved is equal to the amount Peter saved. Hence, we can equate equations 1 and 2.

p = q

x- 80x/100 = y - 75y/100

x - 0.8x = y - 0.75y

0.2x = 0.25y

x =  0.25y/0.2

x/y = 0.25/0.2

x/y = 25/20

x/y = 5/4

Hence, the ratio of John's money to Peter's money is 5/4.

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The number of people who watched light year are 7.

Let x= number of friends that watches light year

and y= number of friends that watches jurassic park.

Let the equations be

All together total cost =>   4x+9y=172 ------> 1

And total number of people=>  x + y=23 ------> 2

By multiplying both equations by 1 and 4 respectively we can get,

By Solving above two equations we get, x=7 and y=16

As X represents  number of friends that watches light year, the answer is 7

Therefore, number of people that watches light year will be 7.

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Answer:

p = 67

Step-by-step explanation:

The polygon has 8 sides.

The sum of the measures of the interior angles is:

180(n - 2) = 180(8 - 2) = 180(6) = 1080

p + 49 + 2p + 7 + 2p + 142 + p + 50 + 2p + 147 + 2p + 15 = 1080

10p + 410 = 1080

10p = 670

p = 67

The statement that accurately describes the form of the sampling distribution is:The inspecting dissemination is regularly circulated with a mean of 37 and standard deviation 1.41.

According to the central limit theorem, regardless of how the population distribution is shaped, the sampling distribution of the sample mean will be approximately normally distributed for a sufficiently large sample size.

For this situation, irregular examples of 32 are drawn from Meredith's patient populace, which fulfills the state of a sufficiently huge example size. The central limit theorem can be used to determine the sampling distribution's mean and standard error.

In this instance, the population mean, which is 37, is equal to the mean of the sampling distribution.

The population standard deviation divided by the square root of the sample size is the sampling distribution's standard error. For this situation, the standard mistake is 8 partitioned by the square foundation of 32, which is around 1.41.

Therefore, the statement that accurately describes the form of the sampling distribution is:

The inspecting dissemination is regularly circulated with a mean of 37 and standard deviation 1.41.

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When nine is divided by 60 , the quotient would be 0. 15 .

The quotient when nine is divided by 390 is 0. 023 or 3 / 130 .

The quotient refers to the result when a number is divided by another number as is the case with nine being divided by 60 .

The quotient is therefore :

= 9 ÷ 60

= 9 / 60

= 0. 15

The quotient for the division of nine by 390 is :

= 9 ÷ 390

= 9 / 390

= 0. 023

Another way to do this is to find the greatest common factor of nine and 390 which is 3 . Then use it to take the numbers to their simplest form. The quotient would then be :

= ( 9 / 3 ) / ( 390 / 3 )

= 3 / 130

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Answer:

neither

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 9 ← is in slope- intercept form

with slope m = 2

y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

2 ≠ \(\frac{1}{2}\) , then lines are not parallel

2 × \(\frac{1}{2}\) = 1 ≠ - 1, then lines are not perpendicular

Answer:

42

Step-by-step explanation:

5 * 4 + (6 / [ 2 + 1 ] ) *11

5 * 4 +2 * 11

20 +2 * 11

20+ 22

42

Answer:

Step-by-step explanation:

5 x 4 + 6/3 x 11

20 + 2 x 11

20 + 22

42

Answer:

2/5 is fraction form.

0.4 is decimal form btw.

Answer:

B

Step-by-step explanation:

I love trig lol,

Assuming you know trig, Cos(17)=BC/42

Cos(17)*42=BC

Cos(17)~0.956

0.956*42=40.152=BC

Since this is a approximation, B is the closest to our estimate.

Answer:

Step-by-step explanation:

1. We know it travels 346 meters in a second, we now need to multiply 346 by 20. This equals 6920

2. Sound travels 5971 meters per second. We need to multiply this by 12 to find the distance it travels in 12 seconds. 71652 meters

3. We know sound travels 5971 meters per second in stone and 5000 meters per second from the chart. We need to find the difference between these and multiply that by 17 to find the distance covered in 17 seconds.

5971-5000=971

971*17=16507

Sound travels 16507 more meters in 17 seconds through stone than it would travel in aluminum

Answer:

$26.40

Step-by-step explanation:

Answer:

$26.40

Step-by-step explanation:

1 paper flower=$0.55

Therefore,48 paper flowers=?

cross multiplying,we have 0.55×48=$26.40

Answer:

first one

Step-by-step explanation:

The graph intersects x-axis at (4,0)  and (-3,0)

If function f has zeros at -3 and 4 then the first graph represents the function f.

When a function has zeros at -3 and 4, it means that the function's value is equal to zero at those x-values.

In other words, when x = -3 and x = 4, the function f(x) becomes 0.

To represent this on a graph, you should look for two points where the graph intersects the x-axis at -3 and 4.

When the graph crosses the x-axis at these points, it indicates that the function has zeros at those x-values.

When we observe the graphs, the first graph has zeros at -3 and 4.

Hence, the first graph could represent the function f with zeros at -3 and 4.

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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 angle is half the angle of the arc, so 7x+9=46

7x+9=46

7x=37

x=37/7

The correct answer is a. H0: u≥2 hours and H1:u<2 hours. When testing a right-tailed hypothesis using a significance level of 0.025, a sample size of n=13, and with the population standard deviation unknown, the critical value is as follows:

To determine the critical value, we need to use the t-distribution since the population standard deviation is unknown.

Using a t-distribution table or calculator with 12 degrees of freedom (n-1), a one-tailed test, and a significance level of 0.025, the critical value is 2.1604.

If the test statistic is greater than or equal to this value, we can reject the null hypothesis in favor of the alternative hypothesis, which is a right-tailed hypothesis.

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Answer: Half

Step-by-step explanation:

Bayes' rule, also known as Bayes' theorem or Bayes' law, is a mathematical formula used in probability theory and statistics. It provides a way to update our belief or probability of an event occurring, given new evidence.

The formula for Bayes' rule is:

P(A|B) = (P(B|A) * P(A)) / P(B)

where P(A|B) is the probability of event A occurring given that event B has occurred, P(B|A) is the probability of event B occurring given that event A has occurred, P(A) is the prior probability of event A occurring, and P(B) is the prior probability of event B occurring.

An example of how Bayes' rule can be used is in medical diagnosis.

Let's say a patient has a positive test result for a certain disease.

The probability of having the disease (event A) can be calculated using Bayes' rule, taking into account the sensitivity and specificity of the test.

The sensitivity is the probability of a positive test result given that the patient has the disease, and the specificity is the probability of a negative test result given that the patient does not have the disease.

By applying Bayes' rule, we can update the probability of having the disease based on the test result and the sensitivity and specificity values.

In short, Bayes' rule is a useful tool for updating probabilities based on new evidence. It is commonly used in various fields, including medicine, finance, and machine learning.

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Answer:

13 > -17 < -4

Step-by-step explanation

13 = postive number

-17 and -4 = negtive.

13 is greater than -17

Since negtive is oppistie of postive it goes backwards.

So -4 is greater than -17

(Im new to this so Im not sure if it is correct)

Answer:

5/6

Step-by-step explanation:

There are six sides on a die, and they are asking the probability of not rolling a 4. So it would be 5 out of 6

Have a good day :)

Answer:

25.5

Step-by-step explanation:

first find the area od the rectangle than the triangle.

to find the area count the number of squares and use A=b*h

than do the same for the triangle using A=.5*b*h

15=3*5

10.5=.5*3*7

10.5+15=25.5

answer: 8

Explanation:

Use the formula for the area of a circle:

A = π r 2

Here, the area is  16 π

16 π = π r 2  

Divide both sides by  

16 = r 2

Take the square root of both sides:

√ 16 = √ r 2

4 = r

Since the radius of the circle is  

4

, the diameter is twice that:

d = 4 × 2 = 8

A period is the difference in x over which a sine function returns to its equivalent state and the amplitude is A/5.

Amplitude:

The amplitude of a periodic variable is a measure of its change over a period of time, such as a temporal or spatial period. The amplitude of an aperiodic signal is its magnitude compared to a reference value. There are various definitions (see below) of amplitude, which is any function of the magnitude of the difference between the extreme values ​​of a variable. In the previous text, the phase of a periodic function is called the amplitude.

                       X = A sin (ω[ t - K]) + b

A is the amplitude (or peak amplitude),

x is the oscillating variable,

ω  is angular frequency,

t is time,

K and b are arbitrary constants representing time and displacement respectively.

According to the Question:

An equation does not have an amplitude. This "equation" represents the formula of a vibration, and was better written as:

X= A/5* sin(1000.t + 120)

These oscillations have a certain amplitude. X values ​​can vary from minimum to maximum. Normally, the stop position of the oscillation is X=0. In this case, we can see that the maximum occurs when the sine is +1 and the minimum occurs when the sine is -1.

For theses cases X= A/5 respectively -A/5.

Therefore,

The amplitude is A/5.

For formulas of this type, the term in front of the sinus (or cosine) is equal to the amplitude.

Complete question:

Can I find the amplitude of this equation? A/5 *