An organic food company needs to paint its new silo. The silo is a cylinder with a height of 24 yards and a base 3 yards in diameter. The paint the company has selected will cover 150 square feet per gallon. How many gallons of paint will be needed to paint the top and lateral surface of the silo?

The cross product of  three vectors is not associative in nature.

Considering three vectors such  as : A=(2,1,3), B=(1,0,2) and  C=(1,1,0)

we  know that the  associative law depicts that :

A x (B x C) = (A x B) x C ,while doing the operation for the  considered vectors :

A x (B x C) =(2,1,3)x ((1,0,2)x (1,1,0))

                  =(2,1,3)x (-2,2,1)

     =(-5,-8,6)

(A x B) x C=  ((2,1,3)x (1,0,2))x (1,1,0)

            = (2,-1,1) x (1,1,0)

  =(-1,1,3)

So  for this vector operation, A x (B x C)  is not  equal to  (A x B) x C, so you can sum up that cross product of three vectors can't be associative every possible time.

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The average speed during her drive that morning would be 43.5 miles/hr.

What is Average Speed?

Calculating average speed involves dividing the whole distance traveled by the total time it took to cover that distance.

Explanation:

Time = 24 min = 0.4 hr

Entire way = 0.6 + 15.4 + 1.4

                  = 17.4 miles

[tex]Average \ speed = \frac{Distance}{Time}\\\\Average \ speed = \frac{17.4}{0.4} \\\\Average \ speed = 43.5 miles/hr[/tex]

Hence, The average speed during her drive that morning would be 43.5 miles/hr.

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The results of the expressions after the properties are applied in this problem are given as follows:

The expression in the context of this problem is defined as follows:

8(y + 2).

The distributive property states that the outside term multiplies each of the inside terms, hence it is applied as follows:

8(y + 2) = 8 x y + 8 x 2 = 8y + 16.

The commutative property states that two terms of an addition can have the order exchanged.

The terms of the addition, after the distributive property, are 8y and 16, hence after the application of the commutative property, the expression is given as follows:

16 + 8y.

As the terms were exchanged.

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Answer:$156

Step-by-step explanation:

SI=principal x rate x time/100

=150 x 4 x 1/100

=$6

amount = principal+SI

=150+6

=$156

To maximize,  it has positive direction at x=1 in first quadrant

What are coordinates?

A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).

The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).

Given function:

F=x³z - yz²

Find the following :

[tex]\partial F/\partial x+ \partial F/\partial y + \partial F/\partial z[/tex]

= 3x²z + (-z²) + (x³-2yz)

So, gradient = 3x²z -z²  + x³-2yz

Find the gradient  at (1,3,2):

x=1, y=3 and z=2

gradient = 3*1*2 - 9 +1 - 12  = -14

To maximize,  it has positive direction at x=1 in first quadrant = 14

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The quotient of the expression will be;

⇒ 2.823

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The equation is,

⇒ - 48 / - 17

Now,

Solve the equation as;

The equation is,

⇒ - 48 / - 17

After divide we get;

⇒ - 48 / - 17

⇒ 48 / 17

⇒ 2.823

Thus, The quotient of the expression will be;

⇒ 2.823

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The speed of the bill's motor boat is found as 20 mph.

Here, we're trying to determine the motorboat's speed.

The speed on the skis would be (x + 10) mph if his motorboat speed is x mph.

There are four hours in all;

Speed = distance/time mathematically.

Skiing time is 27/x+10.

The motorboat time is 62/x.

The result of adding both is 4.

Thus;

27/(x + 10) + 62/x = 4

27(x) + 62(x + 10) = 4(x)(x + 10)

27x + 62x + 620 = 4(x² + 10x)

89x + 620 = 4x² + 40x

4x² -49x-620 = 0

By the quadratic formula;

{-b ± √(b²-4ac)}/2a

In which  a = 4, b = -49 and c = -620

= 49 ± √(-49)² -4(4)(-620)/8

Thus,

49+ 111/8 or 49-111/8

As, speed is not negative.

= (49 + 111)/8

= 20 mph

Thus, the speed of the bill's motor boat is found as 20 mph.

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Answer:105

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

There is a great free graphing program called Desmos.  

y = 1/2 x - 3/2

I highlighted 3 points for you.  

The y-intercept is (0, -1.5)  This is where the graph crosses the x axis.  Another name for -1.5 is -3/2.  That is the number that you see at the end of the equation.

The slope is 1/2.  Look at the other two points on the line (-1,-2)  and (1,-1)  If you start at the first point and go up 1 and then  2 right you will end up at the second point.  That is the slope.

Answer:

Step-by-step explanation:

The depth of the crater in yards is 387.2 yards

Converting Inches to yards

Since the crater is 13,937.63 in deep, we convert this to yards.

Since 36 in = 1 yard, we use this conversion factor to convert to yards

13,937.63 in × 1 yard/36 in = 387.16 yards

≅ 387.2 yards to the nearest tenth

So, the depth of the crater in yards is 387.2 yards

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The depth created by the meteor in different units will be 1,374.66 feet, 458.22 yards, and 0.26 miles.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

A meteor crashed onto a planet and caused a crater that was 16,495.92 inches deep.

The conversion ratio is given below.

⇒ 16,495.92 / 12 = 1,374.66 feet

⇒ 16,495.92 / 36 = 458.22 yards

⇒ 1,374.66 feet = 0.26 miles

The depth created by the meteor in different units will be 1,374.66 feet, 458.22 yards, and 0.26 miles.

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The margin of error would be higher at a 99% confidence level.

Confidence level is the probability, or degree of certainty, that the confidence interval would include the real population parameter when a random sample is drawn numerous times.

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Answer:

For the first one
Part a:
115x + 685y >= 2300

Part b:
See explanation below

Second one:

1.5x + 1.0y >= 2000

Rest of explanation below

Step-by-step explanation:

First one.
Let x be the number of skimboards sold and y be the number of longboards sold.

Then revenue from sales of x units at $115 and y units at $685 would be

115x + 685y

This must be at lest the overhead to make zero loss

So the inequality is
115x + 685y ≥ 2300   (Answer a)

Part b

Any combination of x and y which satisfies this inequality will provide a profit. I have provided a graph of this inequality using an online graphing calculator. I am not sure what your teacher wants you to use.

Any point in the shaded region represents a combination of x and y which satisfies that inequality. However since you cannot sell a fraction of a surfboard, only points which represent whole numbers can be valid. Also only values of x and y >=0 can be chosen.  So any point in the shaded region which has x and y non-negative and x and y whole numbers will generate a profit

Again I am not sure whether this question is asking for a specific value or possible values.

A specific value can be (x=5, y = 10) which is well within the shaded region. This represents 5 skimboards and 10 longboards with a revenue of 5 x 115 + 10 x 685 = $ 7425

Or you could sell 0 skimboards and 4 longboards giving you a revenue of
4 x 685 = $2,740

Or 20 skimboards and zero long boards which is a revenue of $2300 which breaks even with the overhead

Second Question: Modeling

Using x for number of hot dogs sold and y for number of sodas, the inequality is

(a) 1.0x + 1.25y >= 2000

(b) Graph attached

(c)  5 solution points plotted

Here are 5 values that fill fit the inequality

Hope that helps. Sorry, best I could do

Answer:

0.49

Step-by-step explanation:

Answer:

0.49

Step-by-step explanation:

0.4 < x < 0.5

Answer:

15:19 15/19

Step-by-step explanation:

the 95% confidence interval for the proportion of all dies that pass the probe is [0.513,0.616].

Sampling is frequently used to estimate the percentage of population that possesses a particular attribute, such as the percentage of all faulty goods which come off an assembly line or the percentage among all buyers that enter a store and make a purchase before leaving. The population proportion is indicated p, while the sample proportion is written p. Thus, if 43% of individuals visiting a business make a purchase before departing, p = 0.43; if 78 people enter the store and make a transaction, p=78/200=0.39.

The sample proportion is a random variable because it differs from sample to sample in ways that are impossible to anticipate in advance. When seen as a random variable, it will be represented by the letter P.

How to solve?

An article reported that in a study of a particular wafer inspection process, 356 dies were examined by an inspection probe and 169 of these passed the probe.

So,p'=201/356=0.56460

The 95% confidence interval for the proportion of all dies that passed the probe will be,

p∈[p'±zα/2√p'(1−p')/n]

p∈[0.56460±1.96×√0.56460(1−0.56460)356]

p∈[0.513,0.616]

So the 95% confidence interval is [0.513,0.616].

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Answer:

9

Step-by-step explanation:

We can turn 30% into a decimal, then multiply 30% by 30.

30% = 0.3

0.3*30 = 9

Answer:

9

Step-by-step explanation:

1. Turn 30% into a decimal:

(Move the decimal place over twice to get:)

30% = 0.30

2. Multiply

0.30 x 30 = 9

Solution:

9

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Linear equation of attendance in terms of the price is A = -225p + 4925

What is linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

Attendance as a function of ticket price.

A(p) = mp + b

We have two points (p, A):  (15, 1550), (9, 2900)

Slope:  m = (2900-1550)/(9-15) = 1350/-6 = -225

A = -225p + b

Using (15, 1550) as (p, A) find b

1550 = -225(15) + b

1550 = -3375 + b

4925 = b

A = -225p + 4925

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Answer:

Step-by-step explanation:

1+1

2/555

Answer:

Jay is 35

Step-by-step explanation:

Let:

Here, we are given that

Given that x = 15 , y = x + 5 and z = y = 15

We can firstly find the age of john or "y" as we are given the value of x

y = x + 5

==> plug in x = 15

y = 15 + 5

==> add 15 and 5

y = 20

So John is 20

Now that we have the value of y we can easily find Jay's age or the value of z

z = y + 15

==> y = 20

z = 20 + 15

==> add 20 and 15

z = 35

Hence, Jay is 35

Answer:

  35

Step-by-step explanation:

i did the math and also try adding them together?

Caleb pays £80 when he orders the bed

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

Total cost of the bed = £400

Proportion paid when ordering the bed = 1/5

Using the above as a guide, we have the following:

Amount paid when ordering the bed = Proportion paid when ordering the bed * Total cost of the bed

Substitute the known values in the above equation, so, we have the following representation

Amount paid when ordering the bed = 1/5 * £400

Evaluate the products

So, we have the following representation

Amount paid when ordering the bed = £80

Hence, the amount is £80

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Complete question

Caleb is buying a new bed costing £400 He pays 1/5 of the total cost when he orders the bed and the rest on delivery. How much does he pay when he orders the bed?

There are 96 ways for four people to sit in six chairs so that the leftmost chair is occupied and the rightmost is empty.

There are 4 guests and the leftmost seat is to be occupied, so there are 4  such ways to choose the occupant of that seat.

Then, for each of those 4 ways, there are 4 ways to decide the occupant for the second seat -- the remaining three people plus the possibility of that seat being empty, that makes a total of 16 ways to decide the configuration of the first two seats.

Then, for each of those 16 ways, there are 3 ways to choose the occupant for the third seat (either 3 remaining guests if the second seat was left empty, or the two remaining guests plus the possibility of leaving the 3rd seat empty). Hence, 16 times 3 is 48. For each of those ways, there are two choices for the next seat, i.e. 48 times 2 = 96, and finally one choice for the fifth seat. So in all, there are 96 ways.

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Answer:

x=4

Step-by-step explanation:

4(3x+3)=5(x+8) ------- Given

12x + 12 = 5x + 40

12x-5x= 40-12

7x = 28

x = 4

8x+8

Step-by-step explanation:

from the first you can see that there is a 3 in front of the x and if equal then 8 has to be in front of x as well

Answer:

Step-by-step explanation:you add the nmer than you divid them so when you divd them you answer is right there

The value of 103.019 rounded to the nearest tenth is 103.0.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For whole numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done. The significant figures are preserved when numbers are rounded off.

Round the number up if 5, 6, 7, 8, or 9 follow the number you are rounding. For instance, 40 when rounded to the nearest ten is 38. Round the number down if the rounded number is followed by a 0, 1, 2, 3, or 4.

Therefore, the number is 103.0.

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Answer:

103.0

Step-by-step explanation:

The number of hydrogen and oxygen atoms that should be in the products according to the law of conservation of matter, is given as follows:

4 hydrogen atoms and 2 oxygen atoms.

The law of conservation of matter states that the amount of matter in the solution remains constant, even when the substance has a change in the format.

The amounts on the equation are given as follows:

The law of conservation of matter states that the amounts remain constant, hence the amounts of the solution are given as follows:

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The number of hydrogen and oxygen atoms that should be in the products according to the law of conservation of matter, is given as follows:

4 hydrogen atoms and 2 oxygen atoms.

What is stated by the law of conservation of matter?

The law of conservation of matter states that the amount of matter in the solution remains constant, even when the substance has a change in the format.

The amounts on the equation are given as follows:

4 hydrogen atoms.

2 oxygen atoms in the reactants.

The law of conservation of matter states that the amounts remain constant, hence the amounts of the solution are given as follows:

4 hydrogen atoms.

2 oxygen atoms in the reactants.

The odds against selecting a history are 31/16.

Probability is the concept that describes the likelihood of an event occurring. In many situations, it is necessary to foresee how something will turn out in the actual world. We may be aware of the result of an event or not. When this occurs, we state that there is a possibility that the event will occur.

Probability is the ratio of the most likely outcomes to all other possible outcomes of an event. The number of successful outcomes for an experiment with 'n' outcomes may be expressed using the symbol x. The following formula can be used to determine the likelihood of an event.

Probability(Event) = favorable outcome/Total outcome = x/n

Number of playwrights = 47

Number of histories = 16

Therefore, the odds against selecting a history are

(47 - 16) / 16

= 31/16

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The relation between the total cost y and the number of units made x is

y = 3x.      

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

Given:

The cost (the price) of each single item is $3 and the cost of 10 units is $30.

So, the relation between the total cost y and the number of units made x is

y = 3x.      

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Population of Wisconsin is 9.3 × 10⁰ times greater than the population of Vermont.

As given in the question,

Population of Wisconsin is equal to  5.82 × 10⁶

Population of Vermont is equal to  6.24 × 10⁵

Let 'x' represents the number of times population of Wisconsin is greater than the Vermont

⇒ x = ( population of Wisconsin ) / (Population of Vermont)

⇒ x = ( 5.82 × 10⁶ ) / ( 6.24 × 10⁵ )

⇒ x = 0.933 × 10⁶⁻⁵

⇒ x = 0.933 × 10¹

⇒ x = 9.3 × 10⁰ ( Standard notation , rounding to nearest tenth)

Therefore, population of Wisconsin is 9.3 × 10⁰ times greater than the population of Vermont as per given data.

The complete question is:

The approximate populations of Wisconsin and Vermont (as of 2019) are listed below: Wisconsin: 5.82 × 10⁶ Vermont: 6.24 × 10⁵. How many times greater was the population of Wisconsin than the population of Vermont? Write your answer in standard notation, rounding to the nearest tenth.

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A regular quadrilateral is one in which the lengths of all the sides and the measures of all the angles are equal. A regular quadrilateral must have all of its angles measured (6w 13°) if one of its angles does.

A quadrilateral's angles measure a total of 360 degrees. The total measure of the angles of a regular quadrilateral is 4 (6w 13)°, which equals 24w + 52°. A regular quadrilateral contains four angles, of which each measure (6w 13)°. Thus, we obtain the equation shown below:

24w + 52° = 360°

Solving for w, we get:

24w = 308°

w = 13

Consequently, w has a value of 13, and w = 13 is the right response.

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