On average, a dolphin swims at a speed of 8 km per hour for about 15 hours per day. What distance does a dolphin travel per day?

Answer:

use a calculator

Step-by-step explanation:

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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Answer:

The speed is 2/9 miles per minute

Step-by-step explanation:

Speed is defined as the distance covered per unit time.

The formula for speed is given by:

\(Speed = \frac{distance}{time}\)

Let s be the speed, d be the distance and t be the time then

\(s = \frac{d}{t}\)

Given

\(d = 3\frac{2}{3} = \frac{11}{3}\ miles\\t = 16\frac{1}{2} = \frac{33}{2}\ minutes\)

The speed will be calculated by dividing the number of miles by minutes

So putting the values in the formula

\(s = \frac{\frac{11}{3}}{\frac{33}{2}}\\= \frac{11}{3} * \frac{2}{33}\\=\frac{1}{3} * \frac{2}{3}\\=\frac{2}{9}\)

Hence,

The speed is 2/9 miles per minute

Answer:

mary has 135 coins.

Step-by-step explanation:

let the coins that john has be x

and coin mary than = 3x

according to the question equation is

x + 3x = 180

4x = 180

x = 180 / 4

x = 45

coins mary has  = 3x

=3*45

=135

The number of perennials flower from 60 flowers seen by the students with of which 70% were perennials flowers is 42.

Perennials Flowers are plants that live more than two years.

To calculate the amount of perennial flowers seen by the students, we use the techniques of percentage.

Using the formula,

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the number of perennials flower is 42.

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Answer:

im doing that too </3 plz

Step-by-step explanation:

Answer:After dialation

A'=6,24

B'=12,12

C'=-12,6

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Based on the calculations, the sample standard deviation is equal to 4.

A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:

\(Z=\frac{\bar x\;-\;u}{\delta}\)

Where:

In Statistics, the standard deviation of a data sample is the square root of the variance and as such, this given by:

Note: Variance, δ² = 16

Taking the square root of the variance, we have:

Standard deviation, δ = √16

Standard deviation, δ = 4.

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Complete Question:

A sample of n=225 scores has \(\bar x\) = 103 and δ² = 16. What is the sample standard deviation?

The Length of AD is 78 cm.

From the figure, G is Centroid.

The point in which the three medians of the triangle intersect is known as the centroid of a triangle.

It is also defined as the point of intersection of all the three medians. The median is a line that joins the midpoint of a side and the opposite vertex of the triangle.

The centroid of the triangle separates the median in the ratio of 2: 1.

Centroid divides median in the ratio 2:1 .

As per the given data AG = 52

2 parts is 52 .

3 parts is (52 × 3 )/2= 78

Therefore, the length of AD is 78.

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Answer:

31

Step-by-step explanation:

Answer:

The answer would be 80.

Step-by-step explanation:

First you want to add 16 and 24.

Next you want to multiply that answer by 2.

Then you have your answer and I hope this helps

Answer:

-8

Step-by-step explanation:

When adding a negative number on a number line, we move to the left. This is because adding a negative number is the same as subtracting. If we start at -3 and move 5 to the left, we will end at -8.

Answer:

35

Step-by-step explanation:

All you need to do is substitute!

(3x2)^2-1

6^2-1

36-1

= 35

Hope this helps!!

To count the number of subsets of a set with k elements, we use the recurrence relation sk+1 = 2sk with the initial condition s0 = 1.

For your initial condition, consider a set with 0 elements, which has only one subset - the empty set. Thus, S(0) = 1. Using the recurrence relation and initial condition, you can compute the cardinality of the power set for any set of size k.

To count the number of subsets of a set with k elements, we can set up a recurrence relation.

Let sk be the cardinality of the power set of a set with k elements. When we add one more element to the set, we have two options for each subset: either include the new element or don't include it.

This means that the number of subsets of the set with k+1 elements is twice the number of subsets of the set with k elements. Therefore, we have the recurrence relation: sk+1 = 2sk.

Our initial condition is the number of subsets of an empty set, which is 1 (since the empty set itself is a subset). So s0 = 1.

In this course, when working with counting activities and sets, you can set up a recurrence relation to count the number of subsets of a set with k elements. Let S(k) represent the cardinality of the power set of a set of size k.

When you add one more element to the set, you essentially double the number of possible subsets, as each existing subset can either include or exclude the new element.

Therefore, the recurrence relation can be expressed as:

S(k) = 2 * S(k-1)

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The speed of sound in seawater is around 4.46 times faster than speed of sound in air.

Unit conversion is the process of converting the measurement of a given quantity between different units, often by multiplicative conversion factors that modify the value of the measured quantity without altering

its effects.

Speed of sound, the rate at which sound waves move through various substances. Modern estimates of the speed of sound, specifically for dry air at a temperature of 0 °C (32 °F), are 331.29 metres (1,086.9 feet) per second.

Now in the given question ,

speed of sound in air is 1225 km/hr.

speed of sound in sea water = 1520 m/s.

To compare the speed of sound we have to make them in same unit form.

So , we will change speed of sound in air in m/s.

speed of sound in air = 1225 km/hr

                                     \(=\frac{1225*1000}{60*60} m/s\\\\=\frac{12250}{36} m/s\\\\=340.28m/s\)

So , it can be clearly seen that speed of sound in air is less than speed of sound in  seawater.

Also , the speed of sound in seawater is around 4.46 times faster than speed of sound in air.

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Answer:

Step-by-step explanation:

To find the value of z such that 0.12 of the area lies to the right of z, we need to know the distribution of the data and the total area under the curve. If the data follows a normal distribution, the area under the curve is always 1, and 0.12 of the area corresponds to a z-value of approximately 0.84.

We can use a standard normal table or a calculator to find the exact value of z. For example, using a standard normal table, we can find that the z-value corresponding to an area of 0.12 to the right of z is 0.8416.

Therefore, the value of z such that 0.12 of the area lies to the right of z is approximately 0.84.

Problem 1

r = radius

A(r) = circular area function in terms of radius

A(r) = pi*r^2

=================================================

Problem 2

t = number of minutes that have elapsed

r(t) = radius function at time t

r(t) = 0.1t

=================================================

Optional Section:

Apply function composition to find the area in terms of elapsed time.

A(r) = pi*r^2

A( r(t) ) = pi * ( r(t) )^2

A(t) = pi*(0.1t)^2

A(t) = pi*0.01t^2

A(t) = 0.01pi*t^2

This gives the area of the circular puddle at any time t

Answer:

0.00002

Step-by-step explanation:

The value of 0.00002468 after rounding it to the nearest hundred thousandth is 200,000.

Given,

We need to find what is 0.00002468 to the nearest hundred thousandth as an estimate.

234.56789

2 - hundreds place value

3 - tens

4 - ones

5 - tenths

6 - hundredths

7 - thousandths

8 - ten thousandths

9 - hundred thousandths

We have,

0.00002468

Here the value in hundred-thousandths is 2

2468 can be assumed as 246800.

We can round this to either 200,000 or 300,000

If it is greater than 249,000 we will round it to 300,000.

If it is less than 249,000 we will round it to 200,000.

246,800 is less than 249,000 so we will round it to 200,000.

Thus the value of 0.00002468 after rounding it to the nearest hundred thousandth is 200,000.

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(a) False: Just because a matrix is diagonalizable does not guarantee that it has an LU-decomposition. Diagonalizability relates to eigenvectors and eigenvalues, while LU-decomposition involves triangular matrices.

(b) True: If a real and symmetric matrix has distinct eigenvalues, then it is guaranteed to have an orthonormal basis of eigenvectors. This is a property of real symmetric matrices known as the Spectral Theorem.

(c) True: If a matrix is invertible, then it is also diagonalizable. In fact, any invertible matrix is diagonalizable.

(d) True: If a matrix is diagonalizable and the eigenvectors come from different eigenspaces, then they are mutually orthogonal. Eigenvectors corresponding to distinct eigenvalues are always orthogonal.

(e) False: The existence of an LU-decomposition does not imply diagonalizability. An LU-decomposition involves triangular matrices, while diagonalizability is related to eigenvectors and eigenvalues.

(f) True: If a matrix has distinct eigenvalues, then it is always diagonalizable. This is a property of matrices with distinct eigenvalues.

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(a) The expression for a Riemann sum of a function f on an interval [a, b] is Δx = (b-a)/n

(b) If f(x)⩾ 0, then the geometric interpretation of a Riemann sum is infinity

(c) If f(x) takes on both positive and negative values, then the geometric interpretation of a Riemann sum is infinity

Riemann sums are an important tool in calculus for approximating the area under a curve. They are used to estimate the value of a definite integral, which represents the area bounded by the curve and the x-axis on a given interval. In this explanation, we will discuss the expression for a Riemann sum, its notation, and its geometric interpretation.

(a) Expression for a Riemann sum:

A Riemann sum is an approximation of the area under a curve using rectangles. We divide the interval [a, b] into n subintervals, each of length Δx=(b−a)/n. The notation used to represent this is:

Δx = (b-a)/n

(b) Geometric interpretation of a Riemann sum when f(x)⩾ 0:

If f(x) is always non-negative, the Riemann sum represents an approximation of the area between the curve and the x-axis on the interval [a, b].

Each rectangle has a positive area, which contributes to the overall area under the curve. The sum of the areas of the rectangles approaches the true area under the curve as the number of subintervals n approaches infinity.

(c) Geometric interpretation of a Riemann sum when f(x) takes on both positive and negative values:

When f(x) takes on both positive and negative values, the Riemann sum represents the net area between the curve and the x-axis on the interval [a, b].

Each rectangle may have a positive or negative area, depending on the sign of f(xi).

The positive areas represent regions where the curve is above the x-axis, and the negative areas represent regions where the curve is below the x-axis.

In conclusion, Riemann sums are used to approximate the area under a curve on an interval [a, b]. The expression for a Riemann sum involves dividing the interval into n subintervals and approximating the area under the curve using rectangles.

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In Chloe's risk information forms, the key item she should document is the probability and impact of each identified risk.

To effectively monitor risks and obtain early warnings, Chloe should document the probability and impact of each identified risk in her risk information forms. Let's break down why this information is critical in risk management.

The impact of a risk represents the potential consequences or severity of its occurrence. By documenting the impact, Chloe can understand the potential damage or disruption a risk could cause. This allows her to prioritize risks based on their potential impact on the project or objective. By assigning an impact rating or value to each risk, Chloe can identify high-impact risks that require careful consideration and robust mitigation strategies.

Once Chloe has established the probability and impact for each risk, she can set thresholds or triggers for early warning signs. These thresholds act as indicators that a risk is approaching or crossing a critical level.

Chloe can track these thresholds regularly and set up a monitoring system that alerts her when a risk reaches or surpasses the specified levels. This allows her to take timely action and implement mitigation strategies before the risk escalates and negatively impacts the project.

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Answer:

12, 1/2 Kg in 6 Kg

Step-by-step explanation:

6 divided by 1/2= 12

Answer:

10x - 6

Step-by-step explanation:

Answer:

I am not sure if you want it to be a simplified answer but the simplified answer is 10 x - 6

A null space calculator finds the null space of a matrix used in linear algebra.

An invalid space mini-computer is a web-based instrument used to track down the invalid space, otherwise called the portion, of a framework. The invalid space of a framework is the arrangement of all vectors that fulfill the condition Ax= 0, where An is the lattice and x is the vector of questions. The invalid space can be utilized to decide if an arrangement of straight conditions is steady or not, and to find the reason for the arrangement space. An internet based invalid space number cruncher permits clients to enter a network and get the invalid space, as well as different properties like the position, determinant, and eigenvalues of the framework. This can be helpful for understudies and experts in fields like science, physical science, and designing who need to address frameworks of straight conditions and dissect the properties of networks.

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The ordered pair that would represent a ratio that is equivalent to those shown is (8, 12)

From the given diagram, we can create two coordinate points which are (2, 3) and (4, 6)

We need to determine the ordered pair would represent a ratio that is equivalent.

Multiplying the coordinate by a scale factor of 4 will give

A(2, 3) = A'(4(2), 4(3)) = (8, 12)

Hence the ordered pair that would represent a ratio that is equivalent to those shown is (8, 12)

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Answer:

the answer is 8,12, brainiest please!

Answer:

The rise would be 8

Step-by-step explanation:

The rise is y2-y1

Rise = 8 - 0

       = 8

Answer:

$12,000

Step-by-step explanation:

Kabore wants to make $700 this week. We can subtract 100 from that amount because his base pay is $100.

700 - 100 = 600

This leaves us with 600. Kabore has to make $600 from his sales. However, he only gets paid 5% of his sales. So, 600 is worth 5% of his sales. This can be represented in an equation, where x represents his sales and 0.05 is 5% in decimal form:

\(\frac{600}{x}\) = 0.05

Multiply both sides of the equation by x to isolate it on one side:

600 = 0.05x

Divide both sides by 0.05 to find the value of x:

12000 = x

Kabore needs to sell $12,000 worth of product if he wants to make $700 this week.

Hope this helps :)

The new coordinates of points M and O is determined as;

M = (0.5, - 1)

O = (2.5, -2).

The new coordinate of points M and O after applying the scale factor is calculated as follows;

The given scale factor = 1/2

The current coordinates of point M and O is;

M = (1, - 2)

O = (5, - 4)

A scale factor can be used to either enlarge a figure or decrease a figure.

When the scale factor is less than 1, it means the new figure will be smaller than the original figure.

However, if the scale factor is greater than 1, the new figure will be greater than the original figure.

The new coordinates of points M and O is determined as follows;

M = (1 x 1/2,  -2 x 1/2) = (0.5, - 1)

O = (5 x 1/2, -4 x 1/2) = (2.5, -2)

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1. The first statement is a universally quantified predicate that states for all x, either Px or Dx is true.

2. The second statement is the negation of Da, which means Da is false. From this, we can infer that Pa is true.

1. The first statement, (∀x)(Px v Dx), expresses that for all x, either Px or Dx is true. This means that every element x satisfies the condition of being either Px or Dx. It does not specify which elements satisfy Px or Dx, but it applies to all x universally.

2. The second statement, ~Da, indicates that Da is false. From the negation of Da, we can infer the truth of its negation, which is Pa. Therefore, we can conclude that Pa is true based on the given information.

By combining the conclusions from the two statements, we can deduce the following:

- (∀x)(Px v Dx) is true for all x.

- ~Da is true, which implies Pa is true.

However, there is no direct relation or implication between Pa and the statement GC / Hc. Without further information or logical connections, we cannot derive the conclusion Hc based solely on the given premises.

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For the given range of 27 to 43, about 95% of the data falls within the range. For the range of 23 to 47, about 99.7% of the data falls within the range. For the range of 31 to 39, about 68% of the data falls within the range.

The empirical rule is a statistical guideline that states that for a normal distribution of data, about 68% of data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. Thus, we can use the empirical rule to determine the percentage of data within the given ranges. We are given that the data has a bell-shaped distribution with a mean of 35 and a standard deviation of 4.

Range 27 to 43:To determine the percentage of data within this range, we need to find out how many standard deviations from the mean each of the endpoints is.

For the lower endpoint 27, the deviation from the mean is (27-35) = -8, and

for the upper endpoint 43, the deviation is (43-35) = 8.

As the standard deviation is 4, we can find out the number of standard deviations by dividing the deviation by the standard deviation.

Thus, for the lower endpoint, the number of standard deviations is -2, and for the upper endpoint, it is 2.

According to the empirical rule, about 95% of the data falls within two standard deviations of the mean.

Hence, about 95% of the data falls within the given range of 27 to 43.

Range 23 to 47:Similarly, for this range, we can find out the deviations from the mean and the number of standard deviations for the endpoints.

For the lower endpoint 23, the deviation from the mean is (23-35) = -12, and

for the upper endpoint 47, the deviation is (47-35) = 12.

The number of standard deviations for the lower endpoint is -3, and for the upper endpoint, it is 3.

According to the empirical rule, about 99.7% of the data falls within three standard deviations of the mean.

Hence, about 99.7% of the data falls within the given range of 23 to 47.

Range 31 to 39:Again, we can find out the deviations from the mean and the number of standard deviations for the endpoints.

For the lower endpoint 31, the deviation from the mean is (31-35) = -4, and

for the upper endpoint 39, the deviation is (39-35) = 4.

The number of standard deviations for the lower endpoint is -1, and for the upper endpoint, it is 1.

According to the empirical rule, about 68% of the data falls within one standard deviation of the mean.

Hence, about 68% of the data falls within the given range of 31 to 39.

Using the empirical rule, we can determine the percentage of data within a given range for a normal distribution of data. For the given range of 27 to 43, about 95% of the data falls within the range. For the range of 23 to 47, about 99.7% of the data falls within the range. For the range of 31 to 39, about 68% of the data falls within the range.

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