What is the constant in the expression: 5x^2 -8x - 2 ?

The relation between curl vector and rotations is v = wdj

A vector field is a vector field's curl. The tendency of particles at point P to spin about the axis that faces the direction of the curl at P is measured by the curl of a vector field at P. If and only if its curl is zero, a vector field with a simply linked domain is considered conservative.

Let v represent the particle's velocity as a vector.

vector v=ui+vj+wk

curl v =

curl v  = \(\left[\begin{array}{ccc}i&j&k\\d/dx&d/dy&d/dz\\u&v&w\end{array}\right]\)

= (dw/dy - dv/dz )i - (dw/dx - du/dz)j +  (dv/dx - du/dy )k

Now by comparing with rotational matrix ,

We know that w = rotational matrix

\(w_{x}\) = 1/2 (dw/dy - dv/dz )

\(w_{y}\) = 1/2 (dw/dx - du/dz)

\(w_{z}\) = 1/2  (dv/dx - du/dy )

w = \(w_{x} i +w_{y} j + w_{z} k\)

w =  1/2[ (dw/dy - dv/dz )i + (dw/dx - du/dz)j + (dv/dx - du/dy )k]

w = 1/2 curl v , rotation = 1/2 curl v

let B be a rigid rotating about z axis

w = w.k

tangential speed =wk *di

v = wdj

curl of v=  \(\left[\begin{array}{ccc}i&j&k\\d/dx&d/dy&d/dz\\0&w_{x} &0\end{array}\right]\)

v = wdj ,

The relation between curl vector and rotations is v = wdj

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Answer:

6 inches

Step-by-step explanation:

the formula for the volume of a rectangular prism is width*length*height.

Here we are asked to find the height when given a volume. The resultant equation is:

volume = w * l * h

192 cu.in. = 4in*8in*h(inches), simplify the equation by dividing each side by 32 (which is 4*8) to yield:

192 cu.in./32 sq.in.= h inches

6 inches = height

Answer:

The decimal representation of five and twenty-two thousandths is 0.0052

Answer:

5.022

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Input Data :

Point 1  ( x A , y A )  = (-2, 3)

Point2 (  x B , y B )  = (6, 9)

Objective :

Find the distance between two given points on a line?

Formula :

Distance between two points =  √ ( x B − x A ) 2 + ( y B − y A ) 2

Solution :

Distance between two points =  √ ( 6 −  − 2 ) 2 + ( 9 − 3 ) 2

=  √ 8 2 + 6 2

=  √ 64 + 36

=  √ 100 = 10

Distance between points (-2, 3) and (6, 9) is 10

Answer:

x = 67

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

to find the angle across from x we do 180-147.(33) then because a line has ti have 180° in total 80+33=113. 180-113=67

Answer:

Undervalue , overestimate , overvalue , decrimalize

Step-by-step explanation:

Hope this helps

Answer:

y = \(6\sqrt{5}\)

Step-by-step explanation:

x^2 + z^2 = 29^2

x^2 = y^2 + 9^2

y^2 + 20^2 = z^2

29^2 - z^2 = y^2 + 81 (equating for x^2 from eqn 1 and 2)

substitute 3rd eqn in 4th

29^2 - (y^2 + 20^2) = y^2 + 81

841 - y^2 - 400 = y^2 + 81

441 = 2y^2 + 81

360 = 2y^2  

y^2 = 180

y = \(\sqrt{180}\)

= \(\sqrt{36*5} \\\)

y = \(6\sqrt{5}\)

Answer:

50 years, 70 feet

Step-by-step explanation:

The lines intersect at about 50 years on the x-axis and at 70ft on the y-axis.

If an item usually costs d dollars a 12% discount can be represented as 0.88d.

This refers to a deduction in the regular price of a product or service that is usually represented using a percentage.

Considering 12% is being deducted from 100% (100-12 = 88). The final price can be represented as 0.88d or 0.88 multiplied by the regular price (d).

For example, if the regular price is $100, 0.88 x 100 = $88.

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The simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

To simplify the expression √([2m5z6]/[xy]), we can break it down step by step:

Simplify the numerator:

√(2m5z6) = √(2) * √(m) * √(5) * √(z) * √(6)

= √2m√5z√6

Simplify the denominator:

√(xy) = √(x) * √(y)

Combine the numerator and denominator:

√([2m5z6]/[xy]) = (√2m√5z√6) / (√x√y)

Thus, the simplified form of √([2m5z6]/[xy]) is (√2m√5z√6) / (√x√y).

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Answer:

B

Step-by-step explanation:

At 5 hours the distance traveled is 200 miles. 9 hours is less than double 5 hours so it is 360 miles.

Answer:

The value of x= 20

Step-by-step explanation:

I believe the question is ,"60% of x is us, find x"

So , if the percentage of x to 60 is 12.

60/100 * x = 12

0.6 *x = 12

Dividing both sides by 0.6

X= 12/0.6

X= (12/6) *(10)

X= 2*10

.x= 20

The value of x= 20

Answer:

it should be 1.2 i did the math and thats the closes i got

Step-by-step explanation:

Answer:9/41

SOH = opposite over hypotenuse

Step-by-step explanation:

Answer:

volume = 4.5 in³

Step-by-step explanation:

V = L x W x H

V = 3 x 1.5 x 1 = 4.5

a) A negative number on the x-axis (-a, b) would move in the left direction by one unit.

To find out why, check point (0, b) on the y-axis and point (-a, b) on the x-axis.

The distance between these two points is a unit, meaning that the point (-a, b) is one unit to the left of the point (0, b).

b) A positive number on the x-axis (+a, b) would move in the right direction by a unit.

Again, let's look at the point (0, b) on the y-axis and the point (+a, b) on the x-axis.

The distance between the two points is also one unit, which means the point (+a, b) is one unit to the right of the point (0, b).

c) A negative number on the y-axis (a, -b) would move in the downward direction by b units.

Assume that point (a, 0) is on the x-axis and point (a, -b) is on the y-axis. The distance between them is b units, which means that the point (a, -b) is b units below the point (a, 0).

d) A positive number on the y-axis (a, +b) would move in the upward direction by b units.

Also, check the point (a, 0) on the x-axis and point (a, +b) on the y-axis. The distance between these two points is b units, which means that the point (a, +b) is b units above the point (a, 0).

A number is a mathematical term used to show the quantity or value of a thing. It can be depicted using numerals, symbols, or words.

Examples include 30, hundred, -8, 6x, "5", 0.67, etc.

Numbers can be Positive - numbers greater than zero, or negative - numbers less than zero.

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Answer:

x ≈ 777.9 m

Step-by-step explanation:

The lower right angle = 40° ( alternate angle )

Using the sine ratio in the right triangle

sin40° = \(\frac{opposite}{hypotenuse}\) = \(\frac{500}{x}\) ( multiply both sides by x )

x × sin40° = 500 ( divide both sides by sin40° )

x = \(\frac{500}{sin40}\) ≈ 777.9 m ( to the nearest tenth )

The quadratic function graphed is defined as follows:

y = x² - 10x + 9.

We are given the roots for each function, hence the factor theorem is used to define the functions.

The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

From the graph, the roots are given as follows:

x = 1 and x = 9.

Hence the function as a product of it's linear factors is defined as follows:

y = a(x - 1)(x - 9)

y = a(x² - 10x + 9).

When x = 5, y = -16, hence the leading coefficient a is obtained as follows:

-16 = a(5² - 10(5) + 9)

-16a = -16

a = 1.

Thus the function is:

y = x² - 10x + 9.

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Answer:

(C) 12

Step-by-step explanation:

To solve this problem, we can use the following steps:

Find half of 80: 80/2 = 40

Add 20 to half of 80: 40 + 20 = 60

Find one fifth of the result: 60/5 = 12

Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.

Answer:

(C) 12

Step-by-step explanation:

What is one fifth of twenty more than half of 80

0.5 × 80 = 40

What is one fifth of twenty more than half of 80

40 + 20 = 60

What is one fifth of twenty more than half of 80

1/5 × 60 = 60/5 = 12

Using the normal distribution, it is found that:

a) 95.99% of Tiger's drives travel at least 290 yards.

b) 44.40% of Tiger's drives travel between 305 and 325 yards.

c) If the z-scores do not show on table A, they represent too low or too high values, with probabilities very close to either 0 or 1.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is given by the following rule:

\(Z = \frac{X - \mu}{\sigma}\)

The mean and the standard deviation for the length of Tiger Woods's swings are given as follows:

\(\mu = 304, \sigma = 8\)

The proportion of golf swings that are at least 290 years is one subtracted by the p-value of Z when X = 290, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (290 - 304)/8

Z = -1.75

Z = -1.75 has a p-value of 0.0401.

1 - 0.0401 = 0.9599.

Hence the percentage is of 95.99%.

The proportion of golf swings that are between 325 yards and 305 yards is the p-value of Z when X = 325 subtracted by the p-value of Z when X = 305, hence:

X = 325:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (325 - 304)/8

Z = 2.63

Z = 2.63 has a p-value of 0.9957.

X = 305:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (305 - 304)/8

Z = 0.13

Z = 0.13 has a p-value of 0.5517.

0.9957 - 0.5517 = 0.4440.

Hence the percentage is of 44.40%.

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The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

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Answer:

The additional deposit to be made in one year should be $ 301.81.

Step-by-step explanation:

Given that I need to save $ 1,300 to go overseas in two years, and I deposit $ 800 in a savings account today, that earns 10% interest, and I will make an additional deposit in one year, to determine how much must I deposit in one year in order to have enough to go on the trip, the following calculation must be performed:

800 x 1.1 = 880

(880 + X) x 1.1 = 1300

1300 / 1.1 = 1,181.81

1,181.81 - 880 = X

301.81 = X

Therefore, the additional deposit to be made in one year should be $ 301.81.

Answer:

To determine the amount of engine oil needed, we need to find 5% of 3.8 gallons:

0.05 x 3.8 = 0.19

So, 0.19 gallons of engine oil should be added to the jerry can.

Answer:

The amount of gross profit earned by Abbey Co. on the above transactions is $7,554.00

Step-by-step explanation:

What is the gross profit of Abbey Co?

Note that after sales of goods of $29,300 whose cost is $20,510 to Gomez Co, Gomez returned goods whose selling price is $2,500 and cost originally $1,800 to Abbey Co.

The implication of such goods returned is that $2,500 would be deducted from selling price and $1,800 would be deducted from cost of goods sold.

selling price=$29,300-$2,500

selling price=$26,800.00

cost of goods sold=$20,510-$1,800

cost of goods sold=$18,710.00

Note again that Gomez paid the invoice within the discount period, which means that net sales is the selling price of $26,800.00  minus 2% discount(2/15 means a discount of 2% is available if credit sales is settled in cash within the first 15 days of making sales0

net sales=$26,800.00*(1-2%)

net sales=$26,264.00

The gross profit is net sales minus the cost of goods sold

gross profit= $26,264.00-$18,710.00

gross profit=$7,554.00

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Based on the coldest temperature in Buffalo and the difference in the temperature of Chicago, the equation that can be used to find the coldest temperature in Chicago is C. C - 12 = -39; -27°

When temperatures are warmer, it means that they are higher. This means that to find the coldest temperature in Chicago, you need to add 12°F to the temperature of Buffalo.

The formula would therefore be:

C = -39 + 12

Making the Buffalo temperature the subject gives;

C - 12 = -39

The coldest temperature in Chicago is:

= -39 + 12

= -27°F

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1 row. number = 473

100 more = 573 100 less = 373

10 more = 483 10 less = 463

1 more = 474 1 less = 472

2nd row. number will be 398 - 100 = 298

100 more = 398 100 less = 198

10 more = 308 10 less = 288

1 more = 299 1 less = 297

3rd row. number will be 890 + 10 = 900

100 more = 1000 100 less = 800

10 more = 910 10 less = 890

1 more = 901 1 less = 899

Answer: 238

what's ?

1

2

3

4

The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.

Bar graph :

Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data

The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.

because

it is not possible to have zero number of cars that have a particular color,

in That way, we can eliminate options C and D .

in option A the range is too small which is not possible.

the table is not included but the range of 20 to 100 is most appropriate for the number of cars in town with a particular color.

this is because towns would normally have between hundreds and thousands of cars which means that cars of a particular color would be between 20 and 100 at least.

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The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.

Bar graph :

Bar graphs are the pictorial representation of data (generally grouped), in the form of vertical or horizontal rectangular bars, where the length of bars is proportional to the measure of data

The range that would be the most approx to represent the numerical data on the vertical axis is B. 20 to 100.

because

it is not possible to have zero number of cars that have a particular color,

in That way, we can eliminate options C and D .

in option A the range is too small which is not possible.

the table is not included but the range of 20 to 100 is most appropriate for the number of cars in town with a particular color.

this is because towns would normally have between hundreds and thousands of cars which means that cars of a particular color would be between 20 and 100 at least.