LetVbe the vector space of continuous functions defined on the interval[0,1]. Define an inner product onVby the following rule:⟨f,g⟩=∫01f(x)g(x)dx.Use the Gram-Schmidt orthonormalization procedure to produce an orthonormal basis for the subspace spanned by1,x,x2. Use the results to find the closest-point projection ofx3into this subspace.

It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

For such more questions on conditions

https://brainly.com/question/18395678

#SPJ8

There are 3 types of income.

1) Earned income

2) Portfolio income

3) Passive income

Income can be defined as  the consumption and saving opportunity gained by an entity within a specified timeframe, which is generally expressed in monetary terms. Income is difficult to define conceptually and the definition may be different across fields.

here, we have,

Earned income meaning is the type of  income earned after exerting time and effort in you part. in which , Salary is an earned income. If you stop working, you'll stop having an earned income. The more time spent working, the more income you generate (overtime pay).

Portfolio income can b e stated as better identified as capital gains. This is earned when you sell an asset at a higher price than when you bought it. The difference from the selling price and its cost is the portfolio income. Your portfolio may include stocks, real estate properties, and other assets (antiques, cars).

Passive income is income generated without exerting effort from you. This income is generated from you bought or existing assets. Rental income is an example of this. You will always receive rent from you own real estate property.

To learn more on income click;

https://brainly.com/question/1807148

#SPJ9

Answer:

e

Step-by-step explanation:

Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

The length of the side P is 15 cm. And the right option is C.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

To calculate the length of side P we use Pythagoras theorem's formula

Pythagoras formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the right option is C 15 cm.

Learn more about Pythagoras theorem here: https://brainly.com/question/27997683

#SPJ1

Answer:

  2

Step-by-step explanation:

You want the slope of segment DC given points A, B, C, D are collinear and the rise between B and A is 2 units, while the run is 1 unit.

The slope of a line is the same everywhere on the line. It is the same for segment DC as for segment BA on the same line.

  slope = rise/run = 2/1 = 2

The slope of DC is 2.

<95141404393>

        Thanks for reposting the pertinent question:

        Therefore the SLOPE of DC:

         DC  =   2

        POINTS:  D, C, B, and A  are COLLINEAR

       SLOPE of:  DC  is  Equal (=)  To the SLOPE  of: AB

       AB  =   2/1   =  2

       Therefore the SLOPE of DC:

       DC  =   2

I hope this helps you!

Answer:

45 degrees each and 90 degrees

The frame for the rectangular portrait will cost $180.00.

The rectangular portrait has a width of 1 yard and a height of 2 yards. To calculate the perimeter of the portrait, which represents the length of frame required, we can use the formula:

Perimeter = 2 * (Width + Height)

Substituting the values, we have:

Perimeter = 2 * (1 yard + 2 yards) = 2 * 3 yards = 6 yards

The cost of the frame is given as $30.00 per yard. To calculate the total cost of the frame, we multiply the length of the frame (in yards) by the cost per yard:

Frame Cost = Perimeter * Cost per yard = 6 yards * $30.00/yard = $180.00

Therefore, the frame for the rectangular portrait will cost $180.00.

For more such questions on cost , Visit:

https://brainly.com/question/2292799

#SPJ11

Answer:

D

Step-by-step explanation:

Barb says shes the winner.  Darius says its a tie.  These claims are based off of the mean, the median, or both.  Calculate the mean and find the median to find the right answer.

Darius

The mean is 96, and the median is 96.

\(\frac{96 +54+120+87+123}{5} =96\)

54  87  96  120  123

Barb

The mean is 98, and the median is 96.

\(\frac{92+98+96+94+110}{5}=98\)

92  94  96  98  110

Now, look at the answer choices and pick the one that matches the results.

A)  Wrong.  Barb is correct if only the means is considered.  She has a larger mean but an equal median.

B)  Wrong.  If the median is only considered, then Darius is correct, not Barb.

C)  Wrong.  Darius is only correct if the median is considered.  If both are considered, then there is conflict.

D)  Correct.  Darius is correct of only the median is considered.

Answer: I think its D.

Step-by-step explanation:

Im currently taking the quiz right now. Ill change it if its wrong.

Answer:

5419

Step-by-step explanation:

Answer:

Decrease of 28.6%.

Step-by-step explanation:

The multiplier for a increase of a% is 1 + a/100.

The multiplier for a decrease of b% is 1 - b/100.

Decrease of 15%

1 - 15/100 = 1 - 0.15 = 0.85

Decrease of 16%

1 - 16/100 = 1 - 0.16 = 0.84

Both:

0.85*0.84 = 0.714

Change:

The initial percentage is 100% = 1.

0.714 - 1 = -0.286

Negative, so a decrease

The answer is a decrease of 28.6%.

By performing a change of units, we will see that the caterer should purchase 107.8 lb

First, let's find how many kilograms are needed. We know that the recipe recomends using 0.7kg per person, and there are 70 guests, so an estimate of the mass needed is:

M = 70*0.7kg = 49 kg

Now weneedto do a change of units, we know that:

1 kg =  2.2 lb

Then we can rewrite:

49 kg = 49*(2.2 lb) = 107.8 lb

The caterer should purchase 107.8 pounds

Learn more about changes of units at:

https://brainly.com/question/141163

#SPJ1

Answer:

519.99(.0825) = 42.899

519.99 + 42.899 = $562.89

Step-by-step explanation:

The nearest Whole percent, the percent increase of women students is approximately 21%.

The percent increase of women students, we need to compare the number of women students in 2005 and 2006.

In 2005, the number of women students was 123.

In 2006, the number of women students was 149.

To find the increase, we subtract the initial value (2005) from the final value (2006):

Increase = Final Value - Initial Value

Increase = 149 - 123

Increase = 26

Next, we need to calculate the percent increase. The percent increase is given by the formula:

Percent Increase = (Increase / Initial Value) * 100

Plugging in the values:

Percent Increase = (26 / 123) * 100

Calculating the percent increase:

Percent Increase ≈ 21.14%

Rounding to the nearest whole percent, the percent increase of women students is approximately 21%.

Therefore, the answer is 21%.

To know more about Whole percent.

https://brainly.com/question/24877689

#SPJ11

Answer:

Step-by-step explanation:

to get the area of the given figure,

we need to split it in to two (see attached)

then area of a rectangle = length x width

A1 = 15 cm x 4 cm = 60 cm²

A2 = 5 cm x 4 cm = 20 cm²

Area = A1 + A2

        = 60 + 20

        = 80 cm²

Area in this figure will be 80cm².

The area of the rectangle can be calculated by the product of length and breadth of the rectangle.

A=l*b

where l is length and b is the breadth.

So according to asked question in the drawn figure,

connect the point B and G.

now this figure will give two rectangle i.e. ABGH and CDEF

Rectangle ABGH has length l=5cm

breadth b=4cm

area of the rectangle ABGH= length * breadth=l*b=5*4=20cm²

Now CF=CB+BG+GF=5+5+5=15

Rectangle CDEF has length l=CF=15cm

breadth b=4cm

area of the rectangle ABGH= length * breadth=l*b=15*4=60cm²

Area of the figure= area of the rectangle ABGH+area of the rectangle CDEF

=20cm²+60cm²

=80cm²

Therefore area in this figure will be 80cm².

Learn more about area of the rectangle

here: https://brainly.com/question/2607596

#SPJ2

Given statement solution is :-  The Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

To find the sum of 4 + 20, we simply add the two numbers together:

4 + 20 = 24

As for the given vectors, let's perform the requested calculations:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >

Therefore, the Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

For such more questions on Vector Calculations and Addition

https://brainly.com/question/31866215

#SPJ11

Answer:

12 inches

Step-by-step explanation:

a foot is twelve inches, use ruler :0

Answer:

So, to convert a measurement in feet to inches, all you need to do is multiply the number by 12. This is an exact number, so if you're working with significant figures, it won't limit them.

Step-by-step explanation: Hope this helps!! Mark me brainliest!! Have a great spring break!!

Answer:

5π/4 radians or 225°

Step-by-step explanation:

The vertex of the graph is a maximum at (-2, 4)

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

Read more about vertex at

brainly.com/question/28180581

#SPJ1

Answer:

The work will be finished in 10 days.

Step-by-step explanation:

Rashid can do a piece of work in 8 days

This means that each day he works, Rashid does \(\frac{1}{8}\) of the work.

Tipu can finish in 12 days.

This means that each day he works, Tipu does \(\frac{1}{12}\) of the work.

Each 2 days:

Each 2 days they work, the amount done is given by:

\(\frac{1}{8} + \frac{1}{12} = \frac{3 + 2}{24} = \frac{5}{24}\)

Each 2 days, 5/24 of the work is done:

The number of periods of 2 days that is needed to finish the work(100% = 1 completed), is given by:

\(d = \frac{1}{\frac{5}{24}} = \frac{24}{5} = 4.8\)

2*4.8 = 9.6

Rounding up

The work will be finished in 10 days.

You are testing if the mean is greater than a value, hence you should use a right-tailed test, with a critical value of \(\frac{\alpha}{2}\).

There are three classifications regarding the test of an hypothesis, which are presented as follows, along with the critical values used in each case:

More can be learned about the test of an hypothesis at https://brainly.com/question/15980493

#SPJ1

Answer:

5880972

hope it helps..

Answer:( 175/6)

Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35

Answer: 8 books

Step-by-step explanation:

y= how much shelf space take up (inches)

x= # of books

y=2x

in this situation 16=y

16=2x

divide both sides by 2

8=x

Todd should expect approximately 624 people at his gym during the week of July 15.

A: To find the quadratic equation that models the data, we can use the vertex form of a quadratic equation:

\(y = a(x - h)^2 + k\) where (h, k) represents the vertex of the parabola.

Let's analyze the data to determine the vertex. We observe that the number of people is highest during the first week and gradually decreases over the following weeks.

This suggests a downward-opening parabola.

From the data, the highest point occurs during the week of 6/3 to 6/9 with 624 people.

Therefore, the vertex is located at (6/3 to 6/9, 624).

Using the vertex form, we have:

\(y = a(x - 6/3 to 6/9)^2 + 624\)

Now, we need to find the value of 'a.'

To do this, we can substitute any other point and solve for 'a.' Let's use the data from the week of 5/27 to 6/2:

\(618 = a(5/27 to 6/2 - 6/3 to 6/9)^2 + 624\)

Simplifying the equation and solving for 'a,' we find:

\(618 - 624 = a(-6/3)^2\)

-6 = 4a

a = -3/2

Therefore, the quadratic equation in vertex form that models the data is:

\(y = (-3/2)(x - 6/3 to 6/9)^2 + 624\)

B: To predict the number of people Todd should expect during the week of July 15, we substitute x = 7/15 into the equation and solve for y:

\(y = (-3/2)(7/15 - 6/3 to 6/9)^2 + 624\)

Simplifying the equation, we find:

\(y = (-3/2)(1/15)^2 + 624\)

y = (-3/2)(1/225) + 624

y = -3/450 + 624

y = -1/150 + 624

y = 623.993

For similar question on quadratic equation.

https://brainly.com/question/31332558  

#SPJ8

Heracio used the computer 4 more hours to do homework than shop online.

To find out how many more hours Heracio used the computer to do homework than shop online, we first need to calculate the number of hours he spent on each activity.

Let's start by calculating the number of hours Heracio spent on each activity:

Shopping: 10% of 40 hours = 4 hours

Videos: 15% of 40 hours = 6 hours

Homework: 20% of 40 hours = 8 hours

Games: 20% of 40 hours = 8 hours

Social media: 25% of 40 hours = 10 hours

Now, to find out how many more hours Heracio used the computer to do homework than shop online, we need to subtract the number of hours spent shopping from the number of hours spent on homework:

8 hours (homework) - 4 hours (shopping) = 4 hours

Therefore, Heracio used the computer 4 more hours to do homework than shop online.

Read more on proportion here:https://brainly.com/question/19994681

#SPJ1

Answer:

m<GED = 126°

Step-by-step explanation:

The base angles of an isosceles are equal.

This implies that:

m<FEG = m<F

Thus:

m<F = ½(180° - 72°)

m<F = ½(108°)

m<F = 54°

Based on the exterior angle theorem, we have the following equation:

m<F + m<FGE = m<GED

Substitute

54° + 72° = m<GED

126° = m<GED

m<GED = 126°

Step-by-step explanation:

By Side-Splitter Theorem,

20 / 30 = 36 / (x + 5 + 30).

Therefore (x + 5 + 30) = 54, x = 19.

Answer:

x=59

Step-by-step explanation:

hope this helped