3. A computer is priced at $65,000 plus value added tax at 15%. What amount does the computer actually cost the customer?

Answer:

not possible

Step-by-step explanation:

error

the thickness in scientific notation is:

4.3* 10⁻³ inches

Here we know that the thickness of a dollar bill is 0.0043 inches.

Now, scientific notation refers to the notation where we have a single digit at the left of the decimal point, and the order of the number is defined by a factor of a power of 10.

To write our number in scientific notation we need to count the number of zeros that we have before the first non-zero decimal, and we can see that it is equal to 3.

Then we can move all the digits 3 units to the left, and add a factor 10⁻³ to correct that, then we will get:

0.0043 = 4.3* 10⁻³

From this, we conclude that the thickness in scientific notation is:

4.3* 10⁻³ inches

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\(y = mx + b\)

where m = slope and b = y-intercept.

We have both given slope and y-intercept. We can simply substitute the given slope and y-intercept in slope-intercept form.

Substitute m = -1 and b = - 5 in the equation.

\(y = - 1x - 5 \\ y = - x - 5\)

We don't usually write 1x or -1x instead we write -x or x.

\(y = - x - 5\)

The dimensions of the rectangular plot that require the least amount of fencing is :

A(17.32, 17.32) = 600

P(17.32, 17.32) = 121.24

Now, According to the question:

600 \(u^2\) of land to be enclosed by fence

Area inside plot should be maximized, amount of fence should be minimized

If we draw a quick sketch, we get something like this:

_____ _____

|        |         |

|        |         |

|        |         |

|        |         |

The two rectangles could be different sizes but if one rectangle size maximizes area then it would make sense to use that some rectangle for both sides.

Let's put some variables into our picture so we can define our constraints.

       y        y  

  |         |        |

x |      x |      x |

  |         |        |

  |         |        |

Now we just need an equation to connect our unknowns (how much fence to use) to our constraint (it has to have an exact area of 600 u^2.

A = x × 2y = area = 600

P = 3x + 4y = perimeter = a minimum

First we solve the area equation for y:

y = \(\frac{600}{2x}\) = \(\frac{300}{x}\)  

and then we substitute that result into our perimeter equation:

P = 3x + 4 (300/x)

P = 3x + 1200/x

Our perimeter equation is: P(x) = 3x + 1200/x OR P(x) = 3x +1200\(x^-^1\)

We can find what value of x makes our perimeter as small as possible (a minimum) by graphing or by using Calculus.

In Calculus we know that maximums and minimums always occur when the derivative is zero. This is because the slope (rate of change) at these points in a graph are always flat or zero. Our derivative is

P'(x) = 3 - 1200\(x^-^2\)

When set equal to zero, we can solve for x:

3 - 1200\(x^-^2\)= 0

1 - 400\(x^-^2\) = 0

1 = 400/\(x^{2}\)

\(x^{2}\) = 400

x = ± 20

Our fence length can't be a negative number so our answer must be 20u.

If our x length is 20, then our y length must be 300/x to ensure our area is 600 u^2.

The y length is 300/(20) = 15

Let's put all of our numbers into our picture to see if it make sense.

      15      15    

    |        |         |

20 |    20 |    20 |

    |        |         |

    |        |         |

       15      15

Sure enough our area is 600.

Here's what we have right now:

A(20, 15) = 600

P(20, 15) = 120

How about we try something a little bigger like 20.5 for x and 14.63 for y?

A(20.5, 14.63) = 600

P(20.5, 14.63) = 120.02

How about we try something a little smaller like 19.5 for x and 15.38 for y?

A(19.5, 15.38) = 600

P(19.5, 15.38) = 120.02

It looks like if we try to change x, even a little, to make it bigger or smaller the perimeter only gets bigger.

You might have guessed at the beginning that a square is the best shape to use to maximize area, so let's try that as well.

Each rectangle is 300 u^2. We want a square so each side would be √(300) = 17.32

              17.32         17.32    

        |                |                 |

17.32 |       17.32 |        17.32 |

        |                |                 |

             17.32          17.32

A(17.32, 17.32) = 600

P(17.32, 17.32) = 121.24

Hence, The dimensions of the rectangular plot that require the least amount of fencing is :

A(17.32, 17.32) = 600

P(17.32, 17.32) = 121.24

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Answer:

in total she would spend 27.90 so she should bring C i got this by doing 7.80 x 3 because she is buying 3 medium pizzas then i did 0.75 x 6 and got 27.90 so at least bring 25-30 dollars with her

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here you go mate

step 1

x^2+5x-14=0  equation/Question

step 2

x^2+5x-14=0  factor by setting them equal to zero

(x-2)(x+7)=0

answer

x=2 or x=-7

4373 are many fireflies do we need linear equation.

What is an explanation of a linear equation?

If each flash is 0.1 lumens, 40*10 flashes OR 400 flashes equal 40 lumens

P(X>400) = 0.7 (given information)

P(X < 400) = 0.3

P(Z < z0) = 0.3 when z0 = -1.88 (from the z-table)

z0 = -1.88 = (400 - E(X))/V(X)

= -1.88V = 400 - E

= -1.88 √(n*0.1*0.9) = 400 - n*0.1

= -1.88*0.3√n = 400 - 0.1n

= 0.1n - 0.564√n - 400 = 0

n  = 4373

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Answer:

C. -1.7

Step-by-step explanation:

-4.2 - x = -2 2/4

-2 2/4 = -10/4 = -2.5

-4.2 - x = -2.5

-x = 1.7

x = -1.7

So, the answer is C. -1.7

Answer:

I’m answering so the other peep can get brainliest she’s correct I think I’m pretty sure I think so thx for points have a great day byee

Step-by-step explanation:

The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

What is a normal distribution?

A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.

It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.

It is also known as probability distribution curve.

The normal distribution has two parameters:

What is the shape of the normal distribution?

The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.

Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

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Depends on your level of skills for one. Let's say you can replace a tire on a car within 30 min to 1 hr from the time you open the trunk to get the replacement.

(a)  the cylindrical coordinates for (-1, 1, 1) are (sqrt(2), 3π/4, 1).

(b) the cylindrical coordinates for (-6, 6sqrt(3), 4) are (12, 5π/6, 4).

(a) To change from rectangular to cylindrical coordinates, we use the formulas:

r = sqrt(x^2 + y^2)
θ = atan2(y, x)
z = z

Using these formulas with the point (-1, 1, 1), we get:

r = sqrt((-1)^2 + 1^2) = sqrt(2)
θ = atan2(1, -1) = 3π/4 (since the point is in the second quadrant)
z = 1

So the cylindrical coordinates for (-1, 1, 1) are (sqrt(2), 3π/4, 1).

(b) Using the same formulas with the point (-6, 6sqrt(3), 4), we get:

r = sqrt((-6)^2 + (6sqrt(3))^2) = 12
θ = atan2(6sqrt(3), -6) = 5π/6 (since the point is in the third quadrant)
z = 4

So the cylindrical coordinates for (-6, 6sqrt(3), 4) are (12, 5π/6, 4).

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Answer:

0.1

Step-by-step explanation:

\(10\sqrt{1} \\10\sqrt{1.0} \\=0.1\)

The sequence \(`x[n]` is given by `x[n] = (150/7)(0.25)^n`\).

The given z-transform is \(`X(z) = 1 - (1/6)z^(-3)/1 - (1/4)z^-1` with ROC `|z| > 1/4\)`. We are to determine the inverse Z-transform of \(`X(z)` to obtain `x[n]`.To find `x[n]`\), we use the inverse Z-transform formula, which is given as: \(`x[n] = (1/2πj) ∮ X(z)z^n dz`\) where the integration is over a closed path in the ROC of\(`X(z)` and `j`\) is the imaginary unit.

We can use the residue theorem to evaluate the inverse Z-transform, and this involves finding the poles of the z-transform as well as their corresponding residues. Here, we have two poles of \(`X(z)` at `z = 0.25` and `z = ∞`. Since `|z| > 1/4`\), the ROC contains the pole at \(`z = 0.25`\).Thus, the inverse Z-transform of `X(z)`\(`X(z)`\) is given as\(:`x[n] = (1/2πj) ∮ X(z)z^n dz``        = (1/2πj)\)

\([Residue at z = 0.25] + [Residue at z = ∞]``        = (1/2πj) [(1 - (1/6)z^(-3))/(1 - (1/4)z^-1)]z^n|z=0.25 + [Residue at z = ∞]``        = (1/2πj) [(1 - (1/6)0.25^(-3))/(1 - (1/4)(0.25)^-1)](0.25)^n + 0``        = (150/7)(0.25)^n`\)

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During a chemical reaction mass is conserved.

Only atoms from the reactants can end up in the products of a chemical reaction. No atoms are destroyed or made into new ones. When reactants come into touch with one another, bonds between their atoms are broken, and then the atoms rearrange and form new bonds to create the products.

Atoms in a chemical process are neither formed nor destroyed, according to the law of conservation of mass. The same is true for mass; it cannot be created or destroyed.

This means that both before and after the reaction, the number of atoms in each element must be constant. Atoms in reactants only rearrange to generate products during a chemical reaction.

That is,

During a chemical reaction mass is conserved.

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Answer:

t =  - 7/2

hope this helps

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

R:B:P

3:17:4

20x0.2=4

0.2/4=0.05

P(R)= 0.05x3

P(R)=0.15

Answer:

1: equivalent

2: not equivalent

3: not equivalent

4: equivalent

5: not equivalent

6: equivalent

7: not equivalent

8: not equivalent

9: equivalent

Step-by-step explanation:

E

NE

NE

E

NE

E

NE

NE

E

This is the short form of equivakent and non equivalent fractions

ok

EXPLANATION

Given the function

f(x) = sqrt(x-1) -3

The minimum value on the interval 2≤x≤10 is -3.

We can get this by sketching different points as follows:

x y=sqrt(x-1) -3

0 undefined

1 -3

2 -2

5 -1

10 0

Answer: 13

Step-by-step explanation:

Answer:

Original Price = Sale Price / ( 1 - Percent Off / 100 )

                       = 57.75 / (1 - 30/100)

                       = 57.75 / (1 - 0.3)

                       = 57.75 / 0.7

                       = $82.50

Original price = $82.50

Answer:

27

Step-by-step explanation:

Area of Triangle x 2 = 3 * 3

The reason I did not divide it by 2 is because of how the other triangle is bound to have the same area. Just leave it as it is because later you're going to reach the same answer.

3 * 3 = 9

Rectangle Area = 6 * 3 = 18

18 + 9 = 27

The ratio strength of the final product is 1:0.4.

One technique to indicate concentration is through ratio strength, which uses a ratio to characterize drug concentration. In this context, concentration is defined as the quantity of a solute that makes up one unit in the whole volume of a solution or combination. You should be an expert in ratio strength calculations as a pharmacy student. Ratio strength uses a ratio to describe the medication concentration. So, what it implies is, you have one unit of solute contained in the complete amount of preparation and so generally your ratio strength is expressed as one is to something. In the case of a weight-in-weight, volume-in-volume, or weight-in-volume situation, you would interpret a ratio of 1:2,000 differently.

Drug strength = 800mg

whole volume =2ltrs

The ratio of the solution in 1 ltr is = 400 mg

The ratio strength of the solutions is = 1:0.4

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Answer:

have you heard of mathpapa, i think you should try that, its gotten me through algebra. i wish i could help, good luck!!

Step-by-step explanation:

The critical values for quick reference are given below:Confidence level Critical value A poli reported 38% support for 4 statewide elections with a margin of error of 4.45 percentage points.

The formula for the margin of error is given by:Margin of error = Critical value * Standard errorThe standard error is given by:Standard error = √(p * (1 - p)) / nWe know that the margin of error is 4.45 percentage points. Let's determine the critical value for a 90% confidence level.z* = 1.645We know that the point estimate is

p = 0.38, and we need to determine the minimum sample size n. Rearranging the formula, we get:

n = (z* / margin of error)² * p * (1 - p)Substituting the given values, we get:

n = (1.645 / 0.0445)² * 0.38 * 0.62n

= 348.48Rounding up to the nearest whole number, we get that at least 349 voters should be surveyed for a 90% confidence interval. Therefore, the correct option is B.

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Answer:

See below.

Step-by-step explanation:

I'm assuming these questions are about the Midline Theorem (segment AL joins the midpoints of the non-parallel sides.

♦  The midline's length is the average of the lengths of the top and bottom parallel sides.

\(AL=\frac{OR+CE}{2}\)

Use this equation and substitute values given in each problem, then solve for the missing information.

1. AL = x, CE = 9, OR = 5

\(x=\frac{9+5}{2}=7\)

2. AL = m - 4, CE = 15, OR = 17

\(m-4=\frac{15+17}{2}=16\\\\m-4=16\\\\\\m=20\\\\AL=20-4=16\)

3. OR = y + 5, AL = 15, CE = 18

\(15=\frac{(y+5)+18}{2}\\\\15=\frac{y+23}{2}\\\\30=y+23\\\\7=y\\\\OR = 7+5=12\)

Answer:

8 units

Step-by-step explanation:

If we start at point Q and count down to point R we find the distance of segment QR.

-> Since this is on a coordinate plane, we can also use the distance formula

d = \(\sqrt{(y_{2}- y_{1}) ^{2} +(x_{2}- x_{1})^{2} }\)

d = \(\sqrt{(6--2) ^{2} +(3-3)^{2} }\)

d = \(\sqrt{(6+2) ^{2} +(3-3)^{2} }\)

d = \(\sqrt{(8) ^{2} +(0)^{2} }\)

d = \(\sqrt{64}\)

d = 8 units

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer:

  8

Step-by-step explanation:

Segment QR is on a vertical line, so the length of it can be found from the y-coordinates of Q and R. The length is simply the difference of the y-coordinates:

  6 -(-2) = 8

QR is 8 units long.

You can also determine this by counting the grid squares along its length.

_____

Additional comment

Similarly, the length of a segment of a horizontal line is the difference of the x-coordinates of its end points. For example, PQ is 3 -(-4) = 7 units long. As with QR, you can also count grid squares to get this length.

When the segments are not vertical or horizontal, a formula based on the Pythagorean theorem can be used to find length. In some cases, these diagonal segments are the hypotenuse of a triangle you already have experience with. Segment ST, for example, is the hypotenuse of a 3-4-5 right triangle, so is 5 units long. Segment RS is the hypotenuse of an isosceles right triangle with side lengths 3, so is 3√2 units long.

Answer:

steps below

Step-by-step explanation:

sin (π/4)= cos π/4= 1/√2

tan(π/8) = tan(π/4 / 2) = sin (π/4) / (1 + cos π/4)

cos(π/8) = (√1+cos π/4) / 2

tan(π/16) = (sin π/8) / (1 + cos π/8) = ((√1-cos π/4)/2) / (1 + (√1+cos π/4)/2)