James bill at a restaurant
is $39.50. If he wants to
tip his server 18% how
much money should he
leave?

Answer:

Number 1. Hope you can read that

Step-by-step explanation:

Answer:

height of can is 2.86 inches if the soap can ..

Step-by-step explanation:

by using the formula of volume of cylinder....= π r²h = 324

22/7 × 6×6×h = 324

h = 2.86 inches

plz mark my answer as brainlist plzzzz and vote me

Answer:

<8, <1, <4 are all 96

<6,<7,<3, <2 are all 84

Step-by-step explanation:

Answer:

For the binomial with a degree of 35 it would be 2x35+4

For the monomial with a degree of 100 would be 5y100

Step-by-step explanation:

In this scenario, if a computer was bought for $2350 and is being depreciated over 5 years, the annual depreciation is $470, and its value 3 years later would be $1410.

The straight-line method of depreciation is a method of calculating the decline in value of an asset over time. Using this method, an asset's value is spread evenly over its useful life.

In this scenario, if the computer was bought for $2350 and is being depreciated over 5 years, the annual depreciation is ($2350 / 5) = $470.

Three years later, the computer's value would be $2350 - ($470 x 3) = $1410. This is because the value of the computer is decreasing by $470 per year, and after three years, the total amount of depreciation would be $470 x 3 = $1410.

It's important to note that the straight-line method of depreciation is a simple method and it does not reflect the real-world scenario in which assets may have a higher value of depreciation in the initial years and less in the later years. But it's easy to calculate and use.

In conclusion, if an asset is depreciated using the straight-line method, its value decreases evenly over its useful life. It's important for businesses to understand the various methods of depreciation and choose the one that best suits their needs.

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The solution is, Right answer: C) -7 is a solution.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

We have the equation 2x² +5x -63 = 0

First, let's find the coefficients a, b and c as ax² +bx +c = 0:

• a = 2

• b = 5,

• c = -63

Now, we will use the formula below to solve this equation:

x = -b ±√b²-4ac/2a

Let's replace the coefficients with the values that we already found:

putting the values we get,

x = -5±23/4

Now, let's divide it into two solutions, look:

x1 = 9/2

x2 = -7

Right answer: C) -7 is a solution.

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Answer: 112.5

Step-by-step explanation: When line AB and CD intersect at point E, angle AEC equals BED so you set them equal to each other and find what x is. 5x -20 = x + 50, solving for x, which gives you 17.5. Finding x will tell you what AEC and BED by plugging it in which is 67.5. Angle BED and BEC are supplementary angles which adds up to 180 degrees. So to find angle CEB, subtract 67.5 from 180 and you get 112.5 degrees.

Answers in bold:

S9 = 2

i = 20

R = -2

=====================================================

Explanation:

\(S_0 = 20\) is the initial term because your teacher mentioned \(A_0 = I\) as the initial term.

Then R = -2 is the common difference because we subtract 2 from each term to get the next term. In other words, we add -2 to each term to get the next term.

Here is the scratch work for computing terms S1 through S4.

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{1} = S_{1-1} - 2 & S_{2} = S_{2-1} - 2\\S_{1} = S_{0} - 2 & S_{2} = S_{1} - 2\\S_{1} = 20 - 2 & S_{2} = 18 - 2\\S_{1} = 18 & S_{2} = 16\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{3} = S_{3-1} - 2 & S_{4} = S_{4-1} - 2\\S_{3} = S_{2} - 2 & S_{4} = S_{3} - 2\\S_{3} = 16 - 2 & S_{4} = 14 - 2\\S_{3} = 14 & S_{4} = 12\\\cline{1-2}\end{array}\)

Then here is S5 though S8

\(\begin{array}{|l|l|}\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{5} = S_{5-1} - 2 & S_{6} = S_{6-1} - 2\\S_{5} = S_{4} - 2 & S_{6} = S_{5} - 2\\S_{5} = 12 - 2 & S_{6} = 10 - 2\\S_{5} = 10 & S_{6} = 8\\\cline{1-2}S_{n} = S_{n-1} - 2 & S_{n} = S_{n-1} - 2\\S_{7} = S_{7-1} - 2 & S_{8} = S_{8-1} - 2\\S_{7} = S_{6} - 2 & S_{8} = S_{7} - 2\\S_{7} = 8 - 2 & S_{8} = 6 - 2\\S_{7} = 6 & S_{8} = 4\\\cline{1-2}\end{array}\)

And finally we arrive at S9.

\(S_{n} = S_{n-1} - 2\\\\S_{9} = S_{9-1} - 2\\\\S_{9} = S_{8} - 2\\\\S_{9} = 4 - 2\\\\S_{9} = 2\\\\\)

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

Because we have an arithmetic sequence, there is a shortcut.

\(a_n\) represents the nth term

S9 refers to the 10th term because we started at index 0. So we plug n = 10 into the arithmetic sequence formula below.

\(a_n = a_1 + d(n-1)\\\\a_n = 20 + (-2)(n-1)\\\\a_n = 20 - 2(n-1)\\\\a_{10} = 20 - 2(10-1)\\\\a_{10} = 20 - 2(9)\\\\a_{10} = 20 - 18\\\\a_{10} = 2\\\\\)

In other words, we start with 20 and subtract off 9 copies of 2 to arrive at 20-2*9 = 20-18 = 2, which helps see a faster way why \(S_9 = 2\)

Answer:

above sea level

Step-by-step explanation:

The magnitude of the angle of twist φ in a 660-mm length of the shaft when 44 kW is being transmitted at 6 Hz is 0.3567 radians.

Outside diameter of shaft = D = 57 mm

Wall thickness of shaft = t = 1.72 mm

Maximum shear stress in shaft = τ = 186 M

Pa = 186 × 10⁶ Pa

Modulus of rigidity of titanium = G = 31 G

Pa = 31 × 10⁹ Pa

Rotational speed = n = 20 Hz

We know that the power transmitted by the shaft is given by the relation, P = π/16 × τ × D³ × n/60

From the above formula, we can find out the maximum power P that can be transmitted by the shaft.

P = π/16 × τ × D³ × n/60= 3.14/16 × 186 × (57/1000)³ × 20= 11.56 kW

Hence, the maximum power P that can be transmitted by the shaft is 11.56 kW.

b)Given data:

Length of shaft = L = 660 mm = 0.66 m

Power transmitted by the shaft = P = 44 kW = 44 × 10³ W

Rotational speed = n = 6 Hz

We know that the angle of twist φ in a shaft is given by the relation,φ = TL/JG

Where,T is the torque applied to the shaft

L is the length of the shaft

J is the polar moment of inertia of the shaft

G is the modulus of rigidity of the shaft

We know that the torque T transmitted by the shaft is given by the relation,

T = 2πnP/60

From the above formula, we can find out the torque T transmitted by the shaft.

T = 2πn

P/60= 2 × 3.14 × 6 × 44 × 10³/60= 1,845.6 Nm

We know that the polar moment of inertia of a hollow shaft is given by the relation,

J = π/2 (D⁴ – d⁴)where, d = D – 2t

Substituting the values of D and t, we get, d = D – 2t= 57 – 2 × 1.72= 53.56 mm = 0.05356 m

Substituting the values of D and d in the above formula, we get,

J = π/2 (D⁴ – d⁴)= π/2 ((57/1000)⁴ – (53.56/1000)⁴)= 1.92 × 10⁻⁸ m⁴

We can now substitute the given values of T, L, J, and G in the relation for φ to calculate the angle of twist φ in the shaft.φ = TL/JG= 1,845.6 × 0.66/ (1.92 × 10⁻⁸ × 31 × 10⁹)= 0.3567 radians

Hence, the magnitude of the angle of twist φ in a 660-mm length of the shaft when 44 kW is being transmitted at 6 Hz is 0.3567 radians.

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The maximum power P that can be transmitted by the shaft can be determined using the formula (a), and the magnitude of the angle of twist φ can be calculated using the formula (b).

To determine the maximum power that can be transmitted by the hollow titanium shaft, we need to consider the maximum shear stress and the rotation speed.

(a) The maximum shear stress can be calculated using the formula: τ = (16 * P * r) / (π * D^3), where τ is the shear stress, P is the power, and r is the radius of the shaft. Rearranging the formula, we get: P = (π * D^3 * τ) / (16 * r).

First, we need to find the radius of the shaft. The outer radius (R) can be calculated as R = D/2 = 57 mm / 2 = 28.5 mm. The inner radius (r) can be calculated as r = R - t = 28.5 mm - 1.72 mm = 26.78 mm. Converting the radii to meters, we get r = 0.02678 m and R = 0.0285 m.

Substituting the values into the formula, we get: P = (π * (0.0285^3 - 0.02678^3) * 186 MPa) / (16 * 0.02678). Solving this equation gives us the maximum power P in kilowatts.

(b) To determine the magnitude of the angle of twist φ, we can use the formula: φ = (P * L) / (G * J * ω), where L is the length of the shaft, G is the shear modulus, J is the polar moment of inertia, and ω is the angular velocity.

First, we need to find the polar moment of inertia J. For a hollow shaft, J can be calculated as J = (π/2) * (R^4 - r^4).

Substituting the values into the formula, we get: φ = (44 kW * 0.66 m) / (31 GPa * (π/2) * (0.0285^4 - 0.02678^4) * 2π * 6 Hz). Solving this equation gives us the magnitude of the angle of twist φ.

Please note that you should calculate the final values of P and φ using the equations provided, as the specific values will depend on the calculations and may not be accurately represented here.

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Answer:

D

Step-by-step explanation:

Answer: C

Step-by-step explanation:

it is 10% shades

Step-by-step explanation:

the answer is In photo above

Answer:

Manny's Music Rental:  y = 40 + 25x

Sid's Saxophones:   y = 25 + 30x

Step-by-step explanation:

Let x = number of months

Let y = total cost of renting a saxophone

Manny's Music Rental:  y = 40 + 25x

Sid's Saxophones:   y = 25 + 30x

Answer:

$38.68

Step-by-step explanation:

The 15% markdown is 15 percent of $45.50, or 0.15($45.50) = $6.83.

The new sales price is $45.50 - $6.83, or 0.85($45.50), or $38.68

Answer:

$38.67

Step-by-step explanation:

Well 15% of 45.50 is $6.83.

0.15 x 45.50 = $6.83.

45.50 - 6.83 = 38.67

The solutions for the missing sides and angles are mathematically given below

Generally, for number 3

x=9

y=15

The opposite side are equal

4)

n=12

6=m+1

m=5

5)

20=z-8

z=28

105=d-21

d=126

6)

7=16-h

h=16-7

h=9

65=g+4

g=61

Considering questions 7 AND 8

we know that the angle in a parallelogram is 360,

Therefore

<B= (360-(2*51))/2

<B=129

<N= (360-(2*95))/2

<N=85

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Answer:

20 = -6  (-3+-3)

21  = 20 dollers (4 x 5)

23 = 42 dollers (6 x 7)

24= (9=54)        (1 = 6)  (6x2=12) (9=54)

25= 91 dollers     (56+35)

The volume of the cylindrical tank for refrigerant with an inside diameter of 14 inches and a height of 16 inches is 10,736 cubic inches.

The volume of a cylinder can be calculated using the formula:

\(\[ V = \pi r^2 h \]\)

where V represents the volume, \(\(\pi\)\) is a mathematical constant approximately equal to 3.14159, r is the radius of the cylinder (which is half the diameter), and h is the height of the cylinder.

In this case, the inside diameter of the tank is given as 14 inches, so the radius can be calculated as \(\(r = \frac{14}{2} = 7\)\) inches. The height of the tank is given as 16 inches. Substituting these values into the formula, we get:

\(\[ V = 3.14159 \times 7^2 \times 16 \approx 10,736 \text{ cubic inches} \]\)

Therefore, the volume of the cylindrical tank for refrigerant is approximately 10,736 cubic inches.

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The number of prime factors of 3×5×7+7 is 3.

To find the number of prime factors, we need to calculate the given expression:

3×5×7+7 = 105+7 = 112.

The number 112 can be factored as 2^4 × 7.

In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.

So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.

In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.

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Value of the given expression  8.2 x 19 using compensation method is equal to 155.8.

As given in the question,

Given expression is equal to :

8.2 x 19

Apply compensation method to make the calculation easily and get the value of the given expression we have,

8.2 x 19

Rewrite 19 as ( 20 -1 ) we get,

= 8.2 × ( 20 - 1 )

Apply distributive law multiplication over subtraction we get,

= ( 8.2 × 20 ) - ( 8.2 × 1 )

= 164.0 - 8.2

= 155.8

Therefore, value of the given expression  8.2 x 19 using compensation method is equal to 155.8.

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Answer:

55

Step-by-step explanation:

Area of a trapezoid = 1/2 (a+b) x h

= 1/2 (5+17)*5

55 feet.

Answer:

55 sq ft

Step-by-step explanation:

So if you use the equation AB/2xH where A is 5 and B is 17. And when you add them up you get 22. After that you would have to divide that answer by 2 in which you would get 11.  For the final step you have to multiply that answer by 5 in order to get 55

((5+17)/2)x5

Answer:

\(\mathrm{No\:Solution}\)

Step-by-step explanation:

\(\begin{bmatrix}Y=3x-2\\ Y-3x=4\end{bmatrix}\)

\(\mathrm{Substitute\:}Y=3x-2\)

\(\begin{bmatrix}3x-2-3x=4\end{bmatrix}\)

\(\mathrm\:{Combine\:like\:terms:\)

\(\begin{bmatrix}-2=4\end{bmatrix}\)

\(-2=4\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}\)

\(\mathrm{No\:Solution}\)

Answer: The correct answer will be 4

Step-by-step explanation:

Answer:

15  pieces of chocolate 7.5 s'mores

Step-by-step explanation:

you multiply 15 and 5 and you find the answer is 7.5

In order for there to be 10 visits, she needs to make 10.

What is system of linear equations?

The intersections or meetings of the lines or planes that represent the linear equations are known as the solutions of linear equations. The set of values for the variables in every feasible solution is known as a solution set for a system of linear equations.

points that piper earned 13.5x + 60

she cannot get free tickets until she has at least 195 points.

so   13.5x + 60 ≥ 195

13.5x ≥ 195 - 60

13.5x ≥ 135 x ≥ 10

So, In order for there to be 10 visits, she needs to make 10.

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The answer to 32z - 48 using factoring is 3/2.

Given,

32z - 48

We have to find the answer using factoring:

Factoring:

Finding things to multiply together to produce an expression is known as factoring. It is comparable to splitting an expression into numerous smaller expressions.

Here,

32z - 48 = 0

Add 48 to both sides

32z - 48 + 48 = 0 + 48

32z = 48

Divide 32 on both sides

32z/32 = 48/32

z = 48/32

Now, we can factorize 48/32

Take 2 as common factor

(48/2) / (32/2) = 24/16

Again, take 2 as common factor

(24/2) / (16/2) = 12/8

Now, take 4 as common factor

(12/4) / (8/4) = 3/2

Here, z = 3/2

That is, the answer for 32z - 48 using factoring is 3/2.

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Answer:

we conclude that:

Step-by-step explanation:

A dilation is a transformation which generates an image that is the same shape as the original object but in a different size.

The image can be obtained by multiplying the measure of the original object by a scale factor.

If the scale factor > 1, the image is stretched

If the scale factor < 1, the image is reduced

If the scale factor = 1, the image and object will be congruent

For example, if we multiply the measure of the coordinates of the vertex A(2, 2) of a triangle by a scale factor of 2, the image A' is stretched as the scale factor > 1.

Dilation with scale factor 2, multiply by 2.

A(2, 2) → (2(2), 2(2)) = A'(4, 4)

So, the image point A'(4, 4) is enlarged.

Dilation with scale factor ½, multiply by ½.

A(2, 2) → (2(1/2), 2(1/2)) = A'(1, 1)

So, the image point A'(1, 1) is reduced.

Therefore, we conclude that:

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is reflected across the x axis, the new location is at A'(x, -y).

If a point A(x, y) is rotated 90° clockwise about the origin, the new location is at A'(y, -x).

If a point A(x, y) is translated a units left and b units up, the new location is at A'(x-a, y+b).

From the image attached, the location of triangle DEF is D(2, 6), E(2,3) and F(5, 3).

If △DEF is reflected across the x-axis, the resulting image △D'E'F' is at D'(2, -6), E'(2, -3) and F'(5, -3).

If △D'E'F' is rotated 90° clockwise about the origin, the resulting image △D''E''F'' is at D''(-6, -2), E''(-3, -2) and F''(-3, -5).

If △D''E''F'' is translated by (x,y)→(x-2,y+2), the resulting image △D'''E'''F''' is at D'''(-8, 0), E'''(-5, 0) and F'''(-5, -3).

A piecewise-defined function that gives Sanda works 45 hours in a week, her weekly pay would be $380.

To write a piecewise-defined function for Sanda's weekly pay, we need to consider two scenarios: regular hours (up to 40 hours) and overtime hours (more than 40 hours).

Let's define the function as follows:

P(h) = 8h if 0 <= h <= 40

P(h) = (8 * 40) + (1.5 * 8 * (h - 40)) if h > 4

For h (number of hours) between 0 and 40, the pay is simply the hourly wage of $8 multiplied by the number of hours worked. This covers regular hours.

For h greater than 40, we calculate the pay in two parts. The first part is the pay for the first 40 hours, which is calculated as the hourly wage ($8) multiplied by 40. The second part is the pay for the overtime hours, which is calculated by taking the hourly wage ($8), multiplying it by 1.5 to get the time and a half rate, and then multiplying it by the difference between h and 40 (the number of overtime hours).

Let's verify this function with an example:

If Sanda works 45 hours in a week, we can substitute h = 45 into the function:

P(45) = (8 * 40) + (1.5 * 8 * (45 - 40))

= 320 + (1.5 * 8 * 5)

= 320 + (12 * 5)

= 320 + 60

= 380

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Answer:

There is no statement here, please check what you posted again

Answer:

Step-by-step explanation:

I Dont See Anything