At the hardware store, you purchase a box of nails originally worth $14.99. You have a coupon for 20% off the nails. Sales tax is 6%. What is the total cost for the nails?


Must show work!

Answer:

AC ≈ 4.7 ft.

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

\(\cos \theta = \frac{Side \: adjacent \: to \: \theta}{Hypotenuse}\)

SOLUTION :-

Side adjacent to ∠A = AC = x

Hypotenuse = AB = 5 ft

⇒ \(\cos 20 = \frac{x}{5}\)

⇒ \(0.9396.... = \frac{x}{5}\)

⇒ \(x = (0.9396...) \times 5 = 4.6984....\) ≈ 4.7 ft

We say a definite integral is improper if one or both of the limits of integration is infinite, or if the integrand is infinite.

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

The missing blanks

By the definition of definite integral, we have

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Answer:

non-linear i'm pretty sure

Step-by-step explanation:

The inequality that satisfies the number of hours of volunteer work that saul could complete each month to meet his goal is 21 hours.

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

Different types of inequalities are represented by a variety of notations, including:

The symbol a <  b indicates that a is smaller than b.

When a > b is used, it indicates that an is bigger than b.

Given,

Hours Saul plans to volunteer in the 9-month period = 225 hours

Also,

Hours of volunteering he has already completed = 36 hours

=> Number of hours left = 225 - 36 =189 hours

Number of months= 9

=> Minimum number of hours he has to volunteer per month

=> \(\frac{Number of hours left}{Number of months}\)

=>\(\frac{189}{9}\\ 21 hours\)

=>Minimum number of hours saul has to volunteer per month ≥ 21 hours

Therefore, The number of hours of volunteer work that saul could complete each month to meet his goal is 21 hours.

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Answer: The answer is 626

Step-by-step explanation:

Substitute 11 for x, you get 626.

Answer:

x > 3/2

Step-by-step explanation:

2x - 3 > -4x + 6

Add 4x to each side

2x+4x - 3 > -4x+4x + 6

6x-3 > 6

Add 3 to each side

6x-3+3>6+3

6x>9

Divide each side by 6

6x/6 >9/6

x > 3/2

The physical dimensions of the rectangular microstrip patch for a center frequency of 10 GHz, with the given substrate properties, would be approximately 10.9 mm (length) and 10.9 mm (width).

What is a dielectric constant?

The dielectric constant, also known as relative permittivity, is a property of a material that describes its ability to store electrical energy in an electric field. It is represented by the symbol ɛr (epsilon sub r) and is defined as the ratio of the permittivity of the material to the permittivity of free space.

1. we can use the following formulas:

Effective dielectric constant (ɛreff):

ɛreff = (ɛr + 1) / 2

       = (10.2 + 1) / 2

       = 5.6

Length (L) of the microstrip patch:

L = λg / 2

  = c / (2 * f \sqrt{ɛreff})

  = 3 * 10⁸ / (2 * 2 * 10⁹ \sqrt{5.6})

  = 0.0537 m = 5.37 cm

Width (W) of the microstrip patch:

W = λg * (2 * sqrt(ɛreff) - 1) / (2 * sqrt(ɛreff) + 1)

   = 0.101 m

   = 10.1 cm

Where: ɛr is the dielectric constant of the substrate. ɛreff is the effective dielectric constant. f is the resonant frequency. c is the speed of light in vacuum.λg is the guided wavelength.

Therefore, for a rectangular microstrip antenna resonating at 2 GHz with the given substrate properties, the dimensions would be approximately 5.37 cm (length) and 10.1 cm (width).

2- we can determine the following parameters:

(a) Width (W) of the microstrip patch (in mm):

W = (c / (2 * f \sqrt{ɛr}) * 10

    = (3 * 10⁴ / (2 * f \sqrt{4}) * 10

(b) Effective dielectric constant (ɛreff) of the substrate:

ɛreff = (ɛr + 1) / 2

(c) Effective length (Le) of the patch (in mm):

Le = (c / (2 * f \sqrt{reff}) * 10

(d) Physical length (L) of the patch (in mm):

L = Le + 2 * (0.412 * h * 10)

Where: c is the speed of light in vacuum. f is the resonant frequency. ɛr is the dielectric constant of the substrate. h is the height of the substrate.

By substituting the given values into the formulas, you can calculate the width, effective dielectric constant, effective length, and physical length of the microstrip patch.

3- To design a rectangular microstrip patch with dimensions W and L, resonating at a center frequency of 10 GHz, over a single substrate with a dielectric constant of 10.2 and a height of 0.127 cm, we can use the following formulas:

Effective dielectric constant (ɛreff):

ɛreff = (ɛr + 1) / 2

       = (10.2 + 1) / 2  

       = 5.6

Guided wavelength (λg):

λg = c / (f \sqrt{ɛreff})

    = 3 * 10⁸ / (10¹⁰\sqrt{5.6})

Length (L) of the microstrip patch:

L = λg / 2

Width (W) of the microstrip patch:

W = λg / 2

By substituting the values into the formulas, we can calculate the dimensions W and L for the rectangular microstrip patch.

Let's calculate the values:

Effective dielectric constant (ɛreff):

ɛreff = (10.2 + 1) / 2

       = 5.6

Guided wavelength (λg):

λg = (3 * 10⁸) / (10¹⁰ \sqrt{5.6})

Length (L) of the microstrip patch:

L = λg / 2

Width (W) of the microstrip patch:

W = λg / 2Substituting the values:

λg = (3 * 10^8) / (10^10 * sqrt(5.6))L

    = λg / 2W

    = λg / 2

Now, you can calculate the values of λg, L, and W using the given equations.

To calculate the dimensions of the rectangular microstrip patch with a center frequency of 10 GHz, a substrate with a dielectric constant of 10.2, and a height of 0.127 cm, we will use the following formulas:

Effective dielectric constant (ɛreff):

ɛreff = (ɛr + 1) / 2

       = (10.2 + 1) / 2 = 5.6

Guided wavelength (λg):

λg = c / (f \sqrt{ɛreff)

    = (3 * 10⁸) / (10¹⁰\sqrt{(5.6)})

    = 0.0218 m

   = 21.8 mm

Length (L) of the microstrip patch:

L = λg / 2

  = 21.8 mm / 2

  = 10.9 mm

Width (W) of the microstrip patch:

W = λg / 2

    = 21.8 mm / 2

    = 10.9 mm

Therefore, the physical dimensions of the rectangular microstrip patch for a center frequency of 10 GHz, with the given substrate properties, would be approximately 10.9 mm (length) and 10.9 mm (width).  

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Answer:

55

Step-by-step explanation:

its subtracting 15 each time

Answer:

55 and the pattern is 15... i think

Step-by-step explanation:

Yes, an angle in a right-angled triangle is always present.  Without any additional information about the triangle, it is impossible to determine the value of the angle in question.

In a right-angled triangle, one of the angles is a right angle, which measures 90 degrees. The other two angles in the triangle are acute angles and their measures always add up to 90 degrees.

To find the value of the angle in question, we need to know some additional information about the triangle. If we have the lengths of two sides of the triangle, we can use trigonometric ratios to find the measure of the angle.

For example, if we know the length of the side opposite the angle and the length of the hypotenuse (the longest side of the triangle), we can use the sine ratio to find the measure of the angle.

If we know the length of the side adjacent to the angle and the length of the hypotenuse, we can use the cosine ratio.

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The length of the curve ⟨2t, ln(t), t²⟩ over the interval 1 ≤ t ≤ 5 is 32.54 units

Here, the parametric form of he curve is ⟨2t, ln(t), t²⟩

We know that the arc length of a curve r(t) = ⟨x(t), y(t), z(t)⟩ can be found by the formula S =\(\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dx\) over the interval a ≤ t ≤ b

Here, x(t) = 2t

x'(t) = 2

y(t) = ln(t)

y'(t) = 1/t

z(t) = t²

z'(t) = 2t

Using above formula the length of the curve would be,

\(S=\int\limits^8_1 {\sqrt{(2)^2+(\frac{1}{t} )^2+(2t)^2} } \, dt\\\\ S=\int\limits^8_1 {\sqrt{4+\frac{1}{t^2}+4t^2} } \, dt\\\\S=2\int\limits^8_1 {\sqrt{1+\frac{1}{4t^2}+t^2} } \, dt\\\\S=\frac{ln(8)+63}{2}\)

S = 32.54 units

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The complete question is:

Compute the length of the curve ⟨2t, ln(t), t²⟩ over the interval 1 ≤ t ≤ 5.

Answer:

cosJ ≈ 0.38

Step-by-step explanation:

This is a 5- 12- 13 right triangle

with HI = 12, HJ = 13, IJ = 5

cosJ = \(\frac{adjacent}{hypotenuse}\) = \(\frac{IJ}{HJ}\) = \(\frac{5}{13}\) ≈ 0.38 ( to nearest hundredth )

The required value of Cos(J) for the given triangle is 0.38.

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

In the given ΔHIJ the sides are given as,

JH = 13  and HI = 12.

Now, apply Pythagoras theorem to obtain,

IJ² + HI² = JH²

⇒ IJ² = 13² - 12²

⇒ IJ = 5

Use trigonometric ratio to obtain,

Cos(J) = IJ/HI = 5/13 = 0.38

Hence, the value of Cos(J) is obtained as 0.38.

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Explanation

Step 1

Let x represents the number of hours

Let y represents the rate of the company

and

cost per hour = $3

so, the total cost per time is

cost per time= 3* number of hours

cost per time==3x

now, the company charges a $5 boarding rate

so, the rate is

I hope this helps you

You are writing an article for your school newspaper about the Oakland Athletics.  Season tickets go on sale next week and you have been assigned to write an article to help fans determine whether they should buy season tickets or single-game tickets based on their expected attendance at the games this season.

Buying a season ticket allows you to attend all 81 home games for a single price.  Without a season ticket you have to pay for every single game that you attend.

Image result for Oakland Athletics Tickets Box Office

The table shows different ticket price options.

In this task you will answer six questions about the ticket price options and recommend which is best for fans. Be sure to show all your work for each item.

1. A season has 81 home games. If you purchase a season ticket in the bleacher section , what is the cost per game, in dollars for this ticket?

.2. Complete the table based on the single game ticket for seats in the Left field reserve section.

Step-by-step explanation:

The key role for CPS is to minimize stigma and be an ambassador for recovery. Describe a situation where you had to confront stigma

We need to use the concept of Plotting of Graphs.

A.(2018,62) and (2022,74) are the given points.

B. Slope=3

C. Height of Deshaun will increase 3 inches per year.

You must comprehend how the coordinate plane is organized and be aware of what to do with those (x, y) coordinates in order to graph points on the coordinate plane. Simply follow these instructions to learn how to graph points on the coordinate plane. You will graph a point in (x, y) form when you are graphing it on the coordinate plane. What you must understand is as follows:

The second coordinate is on the y-axis, while the x-axis runs left to right.

The y-axis is oriented vertically.

Positive numbers increase or move right (depending on the axis). Negative numbers move to the left or down.

Slope of a line segment=y2-y1/x2-x1 where (x1,y1) and (x2,y2) are the given points.

2018, Deshaun was 62 inches tall.

2022, Deshaun was 74 inches tall.

So assume the age on X-axis and Height on Y-axis.

A)Label the points we could use to find slope from this information:

  (2018,62) and (2022,74).

B) We know that,

    Slope=y2-y1/x2-x1

    ⇒Slope=(74-62)/(2022-2018)

    ⇒ Slope=12/4

    Slope=3.

C) As per the given slope, the height of Deshaun will increase 3 inches per year.

We need to use the concept of Plotting of Graphs.

A.(2018,62) and (2022,74) are the given points.

B. Slope=3

C. Height of Deshaun will increase 3 inches per year.

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Answer:

The answer is H.

Step-by-step explanation:

There is no "b" in this y = mx + b, so it has to go through zero, eliminating the bottom two. If we insert y = 2(1), the point should be at (1, 2), and if when looking at the possible answers, we can go with letter H.

Answer:

Use the formula

Step-by-step explanation:

I think you can use the formula y=mx+b, but I'm not fully sure.

Answer:

The answer: is 3,995

Hope this help you enjoy :D

Step-by-step explanation:

Answer:

linear = addition

exponential = multiplication

Step-by-step explanation:

i haven't taken algebra in a long time but I think that's right

There are 472 more buttons bought by Vance than beads.

For the stated question table is made.

So,

Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).

= (2 × 96) + (1 × 64)

= 2 × (90 + 6) + 64

= (2 × 90) + (2 × 6) + 64

= 180 + 12 + 64

= 256 beads

Now,

Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)

= (2 × 56) + (2 × 38)

= 2 × (50 + 6) + 2 × (30 + 8)

= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)

= 100 + 12 + 600 + 16

= 728 buttons

Thus,

Difference for the number of buttons and beads

= 728 – 256

= 472 beads

So,

Therefore, there are 472 more buttons bought by Vance than beads.

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Answer:

-30a^5b + 12a^4b^3 + 16a^3b^2 - 4a^2b^4 - 2 ab^3

Step-by-step explanation:

Answer:

8.785 × \(10^{9}\)  

I hope this helps!

Answer:

i rather get killed by a cheetah. Cheetas are the least dangerous wild cat out there

Answer:

3900 is decreased.$74100 is new value

Step-by-step explanation:

5% of 78000 subtracted by 78000...

Answer:

68

Step-by-step explanation:

Find the scale Factor:

What do you do to 10 to make it 4?

Divide by 2.5 or Multiply by 0.4

Since, Scale factors are always written as multiplications, use x 0.4

Find the area of the smaller pentagon:

Value 1 x Scale Factor = Area of larger pentagon x 0.4 = 68.8 ≈ 68

Hope this helps