Identify the level of measurement (nominal, ordinal, or interval-ratio) of each of the following variables: (1) How satisfied a person is with his or her employment benefits, measured as very satisfied, somewhat satisfied, neither satisfied nor dissatisfied, somewhat dissatisfied, or very dissatisfied. (2) The number of times someone has shoplifted in her or his life. (3) The number of times someone has voted in a public election measured as 0-1 times, 2-3 times, or 4 or more times. (4) The type of attomey a criminal defendant has attrial, measured as privately retained or publicly funded.

The sine curve equation, y = 10·sin(x·π/24), that models the entrance of the

tunnel with a cross section that is the shape of half of a sine curve and the

height of the tunnel at the edge of the road, (approximately 7.07 ft.) are

found by applying the following steps

(a) The equation for the sine curve is y = 10·sin(x·π/24)

(b) The height of the tunnel at the edge of the road is approximately 7.07 feet

The reason for the above answers are presented as follows;

(a) From a similar question posted online, the missing part of the question

is, what is the height of the tunnel at the edge of the road

The known parameters;

The shape of the tunnel = One-half sine curve cycle

The height of the road at its highest point = 10 ft.

The opening of the tunnel at road level = 24 ft.

The unknown parameter;

The equation of the sine curve that fits the opening

Method;

Model the sine curve equation of the tunnel using the general equation of a sine curve;

The general equation of a sine curve is y = A·sin(B·(x - C) + D

Where;

y = The height at point x

A = The amplitude = The distance from the centerline of the sine wave to the top of a crest

Therefore;

The amplitude, A = The height of half the sine wave = The height of the tunnel = 10 ft.

D = 0, C = 0 (The origin, (0, 0) is on the left end, which is the central line)

The period is the distance between successive points where the curve passes through the center line while rising to a crest

Therefore

The period, T = 2·π/B = 2 × Opening at the road level = 2 × 24 ft. = 48 ft.

T = 48 ft.

We get;

48 = 2·π/B

B = 2·π/48 = π/24

By plugging in the values for A, B, C, and D, we get;

y = 10·sin((π/24)·(x - 0) + 0 = 10·sin(x·π/24)

The equation of the sine curve that fits the opening is y = 10·sin(x·π/24)

(b) The height of the tunnel at the edge of the road is given by substituting

the value of x at the edge of the road into the equation for the sine curve

as  follows;

The width of the shoulders = 6 feet

∴ At the edge of the road, x = 0 + 6ft = 6 ft., and 6 ft. + 12 ft. = 18 ft.

Therefore, we get;

y = 10 × sin(6·π/24) = 10 × sin(π/4) = 5×√2

y = 10 × sin(18·π/24) = 10 × sin(3·π/4) = 5×√2

The height of the, y, tunnel at the edge of the road where, x = 6, and 18 is y = 5·√2 feet ≈ 7.07 ft.

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Answer:

14.7

Step-by-step explanation:

tan(73)=48/x

or, x=48/tan(73)

or, x=14.7 (rounded to the nearest tenth)

Answered by GAUTHMATH

Answer:

242.7 dB

Step-by-step explanation:

Answer:

85 degrees

Step-by-step explanation:

To find the range, take the high temperature and subtract the low temperature

40 - -45

40 + 45

85

The range is 85 degrees

Answer:

85

Step-by-step explanation:

The definition of range is the subtraction between the highest and lowest numbers.

In this problem, there are only two numbers so they will be subtracted.

40 - -45

40 + 45 = 85

The range is 85.

Hope this helped.

Answer:

Step-by-step explanation:

2x + 3y = 6

2x = 6-3y

x = (6-3y)/2

x - 3y = 9

(6-3y)/2 -3y = 9

(6-3y)/2 -6y/2 = 9

(6-9y)/2 = 9

6 - 9y = 9×2

-9y = 18-6

y = 12/-9

y = -4/3

2x + 3y = 6

2x + 3(-4/3) = 6

2x -4 = 6

2x = 6+4

2x = 10

x = 10/2

x = 5

Therefore x = 5 and y = (-4/3)

I used subsitution method

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Answer:

x = 5; y = -4/3

Step-by-step explanation:

One equation has 3y. The other equation has -3y. Add the equations to eliminate y and solve for x.

     2x + 3y = 6

(+)     x - 3y = 9

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

      3x        = 15

x = 5

2x + 3y = 6

2(5) + 3y = 6

3y + 10 = 6

3y = -4

y = -4/3

Answer: x = 5; y = -4/3

Answer:

11

Step-by-step explanation:

8 + 9 + -6

8 + 9 = 17

17 + (-6) = 11

Answered by Gauthmath

Answer:

√(2x^5 / 18) = √2x^5  /   √18 = √2x^5 / √9*2 = √2x^5 /  3√2 = √x^5 / 3

The square root of x^5 over the number 3 is an equivalent of the initial expression.

9514 1404 393

Answer:

  50

Step-by-step explanation:

The number you choose depends on the location you consider to be zero height.

If we consider the surface of the pool to be zero height, and "up" to be the positive direction for measuring height, then the appropriate number for the original 50-ft height is 50.

the answer is 1/12

the first rolling a 4 has a 1/6 chance of happening and half of the numbers on the die are odd, so 1/6*1/2=1/12

Answer:

56

Step-by-step explanation:

[2 ÷ (4 - 2) + 8^2] - [2 - (-1) ] ^2

Brackets first

Then parentheses in the brackets

[2 ÷ 2 + 8^2] - [2 - (-1) ] ^2

Exponents in the brackets

[2 ÷ 2 + 64] - [2 - (-1) ] ^2

Divide

[1+64] - [2 - (-1) ] ^2

Add and subtract in the brackets

[65] - [3 ] ^2

Exponents

[65] - [9 ]

Subtract

56

The LEAST selling price of the laptop should be ;

$1024.1 in other to avoid loss.

Price of laptop = $770

Tax = 20%

VAT = 13%

TO avoid loss ;

both the VAT percentage and TAX must be added to the price of the laptop:

Total percentage = VAT + TAX = (20 + 13) = 33%

THEREFORE, Least selling price should be :

Price of laptop * (1 + 33%)

770 * 1.33

= $1024.1

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Answer:

175731 is one of the answers of the 6 digit number

some others are:

275732

375733

475734

575735

675735

775734

875732

The 6-digit number is 175731.

The place value strategies are defined as math strategies that use to assist you in resolving your elementary math problems, use your places values, such as tens and hundreds. It is possible to employ enlarged notation or compensation. Using regrouping techniques, you can make the problem easier by compensating for addition.

Let the number would be ABCDEF

Given the condition that the value of its thousands of digits is 5,000.

So C = 5

Given the condition that the value of its hundreds of digits is 700.

So D = 7

Given the condition that Its tens digit is 2 less than the thousand digits.

So E = 5-2 = 3

Given the condition that Its hundred thousand digits is the same as the hundred digits.

So B = 7

Therefore, all possible answers:

275732

375733

475734

575735

675735

775734

875732

Hence, the 6-digit number is 175731

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Answer:

$3735

Step-by-step explanation:

2/5 = 8/20

8/20 + 7/20 = 15/20 = 3/4

3/4*4980 = 3735

Answer:

M=$75

Step-by-step explanation:

I used M for money that Heather earned.

$20+M=$95

Answer: 50.2 is it  

Step-by-step explanation: thats easy

Probability helps us to know the chances of an event occurring. The probability of selecting a heart and then selecting a diamond is 144/2652.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that Two cards are selected with replacement from a standard deck of 52 cards. Therefore, the probability of selecting a heart and then selecting a diamond is,

Probability = (12/52) × (12/51)

Probability = 144/2652

Hence, The probability of selecting a heart and then selecting a diamond is 144/2652.

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Answer:

60π

Step-by-step explanation:

circumference of a circle = 2πr, where r = radius

given r = 60 in

2πr = 2×π×60

= 60π

= 188.5 (rounded to the nearest tenth)

9514 1404 393

Answer:

  92°

Step-by-step explanation:

The "givens" tell you the E and F are midpoints of their respective segments. That means EF ║ AB and angles DBF and EFC are "corresponding" angles with respect to transversal BC and those parallel lines. Corresponding angles are congruent, so ...

  m∠DBF = m∠EFC = 92°

Answer:

11.2

Step-by-step explanation:

yz = 11.2

since the corresponding arc of yz and xy are same, their measures will ba same too

Answered by GAUTHMATH

Answer:

11.2

Step-by-step explanation:

good luck!

Answer:

y = 4x+3

m =4

b =3

Step-by-step explanation:

y=4x+3

This is already solved for y

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = 4x+3

m =4

b =3

Answer:

Part A:

the first step is to work out the brackets by multiplying the coefficients outside the brackets by everything in the brackets.

Part B:

5(3x-4)=-2(6x-9)

15x-20=-12x+18

Part C:

15x-20=-12x+18

15x+12x=18+20

27x/27=38/27

x=1.407

I hope this helps

Answer:

17 units

Step-by-step explanation:

Use the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

Plug in the points and simplify:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]d = \sqrt{(-8 - 7)^2 + (0-8)^2}[/tex]

[tex]d = \sqrt{(-15)^2 + (-8)^2}[/tex]

[tex]d = \sqrt{225 + 64[/tex]

[tex]d = \sqrt{289[/tex]

[tex]d = 17[/tex]

So, the distance between the points is 17 units

[tex] - 2( - 2x + 3) = - 3 x+ 10[/tex]

[tex]4x - 6 = - 3x + 10[/tex]

[tex]4x + 3x = 16[/tex]

[tex]7x = 16[/tex]

[tex]x = \frac{16}{7} [/tex]

[tex]x = 2.2857[/tex]

[tex]x = 3[/tex]

Answer:

y=-9x+193

Step-by-step explanation:

Its decreasing by 9, and 175+(9x2) is 193

Answer: 193

Explanation:

As you can see its decreasing by 9

y = mx + b

y = (9×2) + 175

y = 18 + 175

y = 193

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Answer: 996 ft2

Step-by-step explanation:

Add up the area of all 6 sides of the prism:

(10 · 13) + (10 · 13) + (10 · 16) + (10 · 16) + (16 · 13) + (16 · 13)

= 130 + 130 + 160 + 160 + 208 + 208

=996 ft²

Answer:

B) 996 ft2

Step-by-step explanation:

Answer:5

Step-by-step explanation: root5a+2 +7a-8 = 0

 squaring both side

5a+2=7a-8

8+2=7a-5a

10=2a

a=5

Answer:

[tex]\sqrt{5a+2}-\sqrt{7a-8}=0[/tex]

Isolate a square root on the left-hand side

[tex]\sqrt{5a+2} =\sqrt{7a-}8+0[/tex]

Eliminate the radical :-

[tex]5a+2 = 7a-8[/tex]

Solve:-

[tex]2a -10 = 0[/tex]

Add  10  to both sides, then Divide both sides by 2:-

[tex]a = 5[/tex]

OAmalOHopeO

⇛6(2 - 6x) = -24

⇛12 - 36x = -24

⇛-36x = -24 - 12

⇛-36x = -36

⇛x = -36/-36

⇛x = 1