is 16 the decimal value of 1000​

Answer:

30

Step-by-step explanation:

Area of a parallelogram = base length * height

The parallelogram has a given base length of 10 cm and a given height of 3 cm

Hence, area = 10 * 3 = 30cm^2

Step-by-step explanation:

Given:

[tex]\textbf{F} = (2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}[/tex]

This field will have a scalar potential [tex]\varphi[/tex] if it satisfies the condition [tex]\nabla \times \textbf{F}=0[/tex]. While the first x- and y- components of [tex]\nabla \times \textbf{F}[/tex] are satisfied, the z-component doesn't.

[tex](\nabla \times \textbf{F})_z = \left(\dfrac{\partial F_y}{\partial x} - \dfrac{\partial F_x}{\partial y} \right)[/tex]

[tex]\:\:\:\:\:\:\:\:\: = 3x^2 - 2x \ne 0[/tex]

Therefore the field is nonconservative so it has no scalar potential. We can still calculate the work done by defining the position vector [tex]\vec{\textbf{r}}[/tex] as

[tex]\vec{\textbf{r}} = x \hat{\textbf{i}} + y \hat{\textbf{j}} + z \hat{\textbf{k}}[/tex]

and its differential is

[tex]\textbf{d} \vec{\textbf{r}} = dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}}[/tex]

The work done then is given by

[tex]\displaystyle \oint_c \vec{\textbf{F}} • \textbf{d} \vec{\textbf{r}} = \int ((2xy + z^3)\hat{\textbf{i}} + x^3\hat{\textbf{j}} + 3xz^2\hat{\textbf{k}}) • (dx \hat{\textbf{i}} + dy \hat{\textbf{j}} + dz \hat{\textbf{k}})[/tex]

[tex]\displaystyle = (x^2y + xz^3) + x^3y + xz^3|_{(1, -2, 1)}^{(3, 1, 4)}[/tex]

[tex]= 422[/tex]

The length of the shorter piece is 15.55 feet.

Thus, the length of the shorter piece is 15.55 feet.

As none of the options matches the answer, all options are incorrect.

Learn more about Ratio & Proportion here:

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Answer:

C

Step-by-step explanation:

60÷6=10, 90÷9=9, 75÷7.5=10, It divided by 10 so it's 1/10

The scale factor of dilation of the triangle is k = 1/10

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

The result of dilation is that the shapes and boundaries of objects in the input image are expanded or thickened. It is often used in conjunction with other morphological operations such as erosion, opening, and closing to manipulate and enhance images.

Given data ,

Let the first triangle be ΔXYZ

Let the second triangle be ΔUVW

Now , the measure of sides of ΔXYZ = { 60 , 75 , 90 }

And , the measure of sides of ΔUVW = { 6 , 7.5 , 9 }

So , the scale factor of dilation is given by k

where k = measure of side ΔUVW / measure of side ΔXYZ

k = 6 / 60

k = 1/10

Hence , the dilation factor is k = 1/10

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Answer:

A) they are parallel because their slopes are equal.

Step-by-step explanation:

Parallel means that their slopes are equal

If they were negative reciprocals they would be perpendicular.

Answer:

Chocolate Chip Cookies:

2

1

/

2

cups flour

3

/

4

cup sugar

1

tsp. baking soda

1

tsp. vanilla

3

/

4

teaspoon salt

2

eggs

1

cup butter

3

/

4

pound Chocolate Chips

Fractions:

A fraction is a numerical quantity that represents a part of a whole. A fraction can be recognized by a horizontal line that is there between the two numbers. The number above the horizontal line is called the numerator and the number below the horizontal line is called the denominator.

A fraction that is less than 1 is called a Proper Fraction.

Example- A fraction that is greater than or equal to 1 is called an Improper Fraction.

Example- A whole number and a fraction combined into one is called a MIxed Fraction.

Example- To Convert Mixed Fraction into an improper fraction, multiply the denominator with the integer and add this product to the numerator.

Example-

5

3

4

=

(

4

×

5

)

+

3

4

=

23

4

Answer and Explanation:

Answer:

the mode is 20

it has the highest frequency

Answer:

5

Step-by-step explanation:

Y intercept = y value of point where the line passes the y axis

The line passes the y axis at (0,5) and the y value of that point is 5

Therefore y intercept = 5

Answer:

5........................................................................................

Answer:

3900

Step-by-step explanation:

let x= number of workers

we know that .15 (or 1-.85) of the people are not women

so

.15x=585

585/.15=x

3900=x

Answer:

Step-by-step explanation:

Given

[tex]5v - 1/2 = 4 + 3/2v[/tex]

Required

Solve

We have:

[tex]5v - 1/2 = 4 + 3/2v\\[/tex]

Collect like terms

[tex]5v - 3/2v = 4 + 1/2[/tex]

Express fractions as decimals

[tex]5v - 1.5v = 4 + 0.5[/tex]

[tex]3.5v = 4.5[/tex]

Make v the subject

[tex]v= \frac{4.5}{3.5}[/tex]

Divide by .5

[tex]v= \frac{9}{7}[/tex]

Answer:

Step-by-step explanation:

Pythagorean theorem states, square of longer is equal to the sum of square of other sides.

That is, c² = a² + b²

           [tex]50^2 = 48 ^2 + 14^2\\\\2500 = 2304 + 196\\\\2500 = 2500[/tex]

Therefore, the lengths satisfies Pythagorean Theorem.

If the sides of a triangle satisfies Pythagoras Theorem, then the triangle is right triangle.

Answer:

x = -3, y =3

Step-by-step explanation:

y = -4/3x - 1

y = 1/3x + 4 -------> 4y = 4/3x + 16

Adding the first equation and the new second equation together:

5y = 15 ------> y = 3

Plug y = 3 into one of the original equations:

3 = 1/3x + 4

-1 = 1/3x

x = -3

Answer:

I hope I've helped /espero haberte ayudado

Answer:

square pyramid...........

Answer:

SQUARE PYRAMID

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let,

The number thought by Sushil = x

When halved = x/2

We know that,

When the number is halved then it becomes 22.2

Therefore,

The original number is,

[tex] = > \frac{x}{2} = 22.2[/tex]

=> x = 22.2 × 2

=> x = 44.4 (Ans)

Answer:

77 boxes

Step-by-step explanation:

Take the total number of boxes to be sold and divide by the number of girls in the troop

1000/13

76.92307692

Round up

77

Each girl must sell 77

77*13 =1001

Answer:

y³ + x³ = 1

First, differentiate the first time, term by term:

[tex]{3y^{2}.\frac{dy}{dx} + 3x^{2}} = 0 \\\\{3y^{2}.\frac{dy}{dx} = -3x^{2}} \\\\\frac{dy}{dx} = \frac{-3x^{2}}{3y^{2}} \\\\\frac{dy}{dx} = \frac{-x^{2}}{y^{2}}[/tex]

↑ we'll substitute this later (4th step onwards)

Differentiate the second time:

[tex]3y^{2}.\frac{dy}{dx} + 3x^{2} = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} + 6x = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{-x^{2} }{y^{2} })^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{x^{4} }{y^{4} }) = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + \frac{6x^{4} }{y^{3} } = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} = - 6x - \frac{6x^{4} }{y^{3} } \\\\[/tex]

[tex]3y^{2}.\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{3y^{2}. y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 2xy^{3} - 2x^{4} }{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (y^{3} + x^{3})}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (1)}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x}{y^{5}}[/tex]

Answer: 3×4=12

Step-by-step explanation:

Brackets: X=1 , so 1+3=4 and 3+4=12

Answer:

t = -1

c = 6

s = 8.2 or 8 1/5 (same thing just different notation)

Step-by-step explanation:

3(t+4) = 9

3t + 12 = 9

3t = -3

t = -1

-(c-6) = 0

-c + 6 = 0

-c = -6

c = 6

-10(s+4) = -122

-10s - 40 = -122

-10s = -82

10s = 82

s = 82/10 = 8.2 or 8 2/10 or 8 1/5

Answer:

parrel line never meet

Answer:

Total dollars = 35 dollars.

Step-by-step explanation:

Below is the given values:

Number of cups = 8 cups

Number of gallons = 3 gallons

Price of soil per quart = $2.50

Now convert the cups and gallons into quart.

Total quart = 8 cups + 3 gallons

Total quart = 8 / 4 quart + 3 x 4 quarts

Total quart = 2 quart + 12 quart

Total quart = 14 quart

Total dollars amount = $2.50 per quart x 14 quart

Total dollars = 35 dollars.

Answer:

(a) - 3/2

(b) - 78/25

Step-by-step explanation:

According to the trigonometry, the tangent of any angle is the ratio of rise to the run of the right angle triangle .

The sine of an angle is the ratio of rise to the hypotenuse of the right angle triangle.

The cosine of an angle is the ratio of run to the hypotenuse of the right angle triangle.

(a)

[tex]tan\beta = \frac{3}{-2} = \frac{-3}{2}[/tex]

(b)

[tex]13 sin\beta cos \beta = 13\times \frac{3}{\sqrt{3^2+2^2}}\times\frac{-2}{\sqrt{3^2+2^2}}\\\\13 sin\beta cos\beta = \frac{- 78}{25}[/tex]

Answer:

(s/t)(100%)

Step-by-step explanation:

Represent salaries by s and total expenses by t.  Then the fraction of total expenses allocated to salary is

  s

------

  t

and so the percentage of total expenses which is allocated to salary is

(s/t)(100%)

Here,

we have to determine the percentage of total expenses which is allocated to salary.

Let,

The percentage of total expenses allocated to salary is,

Answer:

352

Step-by-step explanation:

512 - 256 + 128 - 64 + 32 = 352

Answer:

[tex]base = 8 ft\\height =28 ft\\[/tex]

Step-by-step explanation:

let base be x ft. then the height is 3x+4

[tex]Area=\frac{1}{2} \times x \times (3x+4)=112\\3x^{2} +4x=224\\3x^{2} +4x-224=0\\x=8, x=-9.33 (no sol. as length can not be negative)\\ x=8\\base = 8 ft\\height =3(8)+4=28 ft\\[/tex]

Answer:

base = 8 , height = 28

Step-by-step explanation:

Let base be = b

Given:

                             height is 3times base = 3b

        Also 4 feet more than 3 times base = 3b + 4

                           Area = 112 square feet

              [tex]area = \frac{1}{2} \times base \times height\\\\112 = \frac{1}{2} \times b \times (3b+ 4)\\\\224 = b(3b+4)\\\\224 = 3b^2 + 4b\\\\3b^2 + 4b - 224 = 0\\\\[/tex]

The quadratic equation with a = 3 , x = 4 , c = -224

Therefore ,

             [tex]b = \frac{-x \pm \sqrt{x^2 - 4ac}}{2a}\\\\[/tex]

             [tex]b= \frac{-4 \pm \sqrt{4^2 - (4 \times 3 \imes -224)}}{2 \times 3}\\\\b= \frac{-4 \pm \sqrt{16 + 2688}}{6}\\\\b= \frac{-4 \pm \sqrt{2704}}{6}\\\\b= \frac{-4 \pm52 }{6}\\\\b = \frac{-4 + 52}{6} , \ b = \frac{-4 -52}{6}\\\\b = \frac{48}{6} , \ b = -\frac{56}{6}[/tex]

Since base can't be negative base = 8 ft

Therefore , height = 3b + 4 = 3(8) + 4 = 24 + 4 = 28

Answer:

275, 350, 450, 550, 675

Step-by-step explanation:

Arrange in order

275, 300, 450, 490, 675

range 275 to 675

median 450

mean 438

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

Raise 300 to 350

Raise 490 to 550

New set of prices

275, 350, 450, 550, 675

range 275 to 675     same

median 450     same

mean 460    increased

Answer:

We want to find the graph of:

|x| = 3

Remember how the absolute value function works:

|x| = x  if x ≥ 0

|x| = -x if  x < 0

Then for the equation:

|x| = 3

We have two possible values of x:

x = 3

|3| = 3

and x = -3

|-3| = -(-3) = 3

Then the graph of this equation is two vertical lines, one at:

x = 3

and another at:

x = -3

The graph can be seen below:

Answer:

The answer is 5284.35 using the conversion

Answer:

5284.4

Explanation:

Tbh if you have a conversion table then see the conversion for what 1 oz is equal to in mL and do the math like that… •_•

Hope this helps, have a good day!

Answer:

Step-by-step explanation

Hello!

3x/4 + 6=42

3x/4=42-6 = 36

3x = 36*4

3x = 144

x= 144/3 =48

3/4 of  48  = (48*3)  / 4 =36

36+6=42

the original number​ is 48

Answer:

x=48

Step-by-step explanation:

3x/4+6=42

3x/4=42-6

3x/4=36

cross multiply

3x/3=144/3

x=48