Velvet fabric costs $11.49 a yard. Yvette buys 9.3 yards. Yvette's estimated cost of the velvet is
$20.
$99.
$104.
$120

Answer:

100 grains of rice in 1 kg rice, using the value of "5 x 10" as correct. Note the comments below.

Step-by-step explanation:

The expression "5 x 10" seems to missing an exponent for the 10.  I suspect there are more than 50 grains of rice in 1 kg, at least on Earth.  I will assume 5 x 10 is correct, but will add an exponent of 1 (10^1) to illustrate how the correct exponent can be added to get the correct result.

We can approach this by setting up conversion factors that will convert kg rice to grains of rice.

We are given a 20 kg bag of rice and want to find the grains of rice.  The conversion factor should be one that has the units (grains rice/kg rice)/

"There are approximately 5 x 10^1 grains of rice in a one kg bag of rice." provides the information we need:  (5x10^1 grains)/(1 kg rice).

We can use this conversion factor in a multiplication step so the kg rice cancels and we are left with only grains of rice:

(20 kg rice)*((5x10^1 grains)/(1 kg rice)) = 100 grains of rice.

Note how the kg rice cancels, leaving just grains rice.  If the correct value is 5 x 10^4, then the calculation would be:

(20 kg rice)*((5x10^4 grains)/(1 kg rice)) = 1,000,000 grains of rice.

Answer:

Step-by-step explanation:

3/9 can be a rational number.

Let me show you:

The Answer and/or 1 : 3 or 3 : 9.

Answer:

6 x \(\frac{3}{4}\)= 4\(\frac{2}{4}\)

Step-by-step explanation:

Answer:

multiplication

Step-by-step explanation:

HOPE THIS HELPS

Answer:

p + 3.6 > −5.8?​

Step-by-step explanation:

Answer:

classified info jk juss use a mf calculater

Step-by-step explanation:

Answer:

Step-by-step explanation:

David spent 25% of his money and left with:

This is same as $27.36

Find initial amount, the 100%:

The general strategy for solving an equation of the form

is to multiply both sides by a, provided a and b are numerical constants, and x is unknown. This gives

Hence, the correct option is C

The polar coordinates are solved and the functions are:

a) r(θ) = f(|θ|)

b) r(θ) = f(θ + π)

c) r(θ) = -f(θ)

Given data:

In polar coordinates, a point is represented by the pair (r, θ), where r is the distance from the origin to the point and θ is the angle formed with the positive x-axis in the counterclockwise direction. To describe functions with specific symmetries in polar coordinates, we use the following:

a)

Symmetry with respect to only the x-axis:

For a function with symmetry with respect to the x-axis, the value of r is the same for angles θ and -θ. In other words, the function is even with respect to the polar angle.

Formula: r(θ) = f(|θ|)

Example: r(θ) = 2 + cos(|θ|)

b)

Symmetry with respect to only the y-axis:

For a function with symmetry with respect to the y-axis, the value of r is the same for angles θ and θ + π. In other words, the function is even with respect to the polar angle plus π.

Formula: r(θ) = f(θ + π)

Example: r(θ) = 3 + sin(θ + π)

c)

Symmetry with respect to the origin:

For a function with symmetry with respect to the origin, the value of r is the same for angles θ and θ + π. In other words, the function is odd with respect to the polar angle.

Formula: r(θ) = -f(θ)

Example: r(θ) = 4 - 2sin(θ)

To draw the graph of each function, you would plot points for different values of θ and connect them to create the polar graph. Note that the graphs for (a) and (b) will look the same since they both have symmetry with respect to the x-axis, and the graphs for (c) will look different as it has symmetry with respect to the origin.

Hence, the polar coordinates are solved.

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Answer:

no solution

Step-by-step explanation:

-3+2h=2h

-3=2h-2h

-3=0

Answer:

This equation has no solutions

Step-by-step explanation:

Answer:

Multiply the radius by 2 to get the diameter.

Step-by-step explanation:

So basically multiply (18 ft) x 2= 36 ft

Answer:

Diameter = 36 ft

Step-by-step explanation:

Since Diameter = 2r

Note : Diameter is twice of radius

\(d=2r=2*18=36ft\)

~Learn with Lenvy~

Answer:

-9

Step-by-step explanation:

-4+4-9 ( remove the opposites)

-9 ( answer)

Hope its help you

Answer: $450

Step-by-step explanation:

Since the similar hotel in town goes for 25 percent less, that means that (100.- 25) = 75% would be paid. This will be:

= 75% × $200.

= 75/100 × $200.

= $150

The amount paid for a three-night stay will be:

= $150 × 3

= $450

The speed of the object is 12121 m per week.

What does it mean to do speed?

The object is moving at a speed of 2 centimeters every 7 seconds.

We need to find the speed in m per week.

2 cm = 0.02 m

1 week = 604800 s

7 s =  \(1.65 * 10^{-6} week\)

Speed = distance/time

So,

\(v = \frac{0.02 m}{1.65 * 10^{-6 } week}\)

\(v = 12121.21 m/ week\)

or v = 12121 m/ week

So, the speed of the object is 12121 m per week.

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The theoretical probability of spinning green on the spinner, divided into 4 equal-size sections colored red, green, orange, and blue, is ¼ or 25%.

In this scenario, the spinner has four equal-size sections. Since each section is of equal size, the probability of landing on any specific section is the same. Therefore, the probability of spinning green, which is one out of the four possible outcomes, is 1/4 or 25%.

To calculate the theoretical probability, we divide the favorable outcomes (spinning green) by the total possible outcomes. In this case, there is one favorable outcome (green) out of four possible outcomes (red, green, orange, and blue), resulting in a probability of 1/4 or 25%.

It's important to note that theoretical probability is based on the assumption of equally likely outcomes and assumes a large number of trials. In practice, actual outcomes may deviate from theoretical probabilities due to factors like imbalances in the spinner or inherent randomness.

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The sum of squares for the game, computed by squaring each value and summing them up, is approximately 37.6296.

To compute the sum of squares for the game, we square each value in the set and then add them up. In this case, we have the values {1, 0, 0, 3.64, 2.7, 0.3, 4}. Squaring each value gives us {1, 0, 0, 13.2496, 7.29, 0.09, 16}. Adding up these squared values results in a sum of squares of approximately 37.6296. This value represents the total variability or dispersion of the game outcomes. It can be used to assess the spread or distribution of the values and to compute other statistical measures such as variance and standard deviation.

The sum of squares for the game is a measure of the total variability in the game outcomes. It quantifies the dispersion of the values and can be used in statistical analysis to assess the spread and calculate other descriptive statistics.

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Answer:

 \(y = 250x + 4000\)

 \(y = 400x + 400\)

The slope of the second option(financing) is greater than the first option(leasing) meaning that the monthly payments for the financing option are greater than the monthly payments of leasing.

The y-intercept of the first option(leasing) is greater than the y-intercept of the second option(financing) meaning that the initial payment of the first option is greater than the initial payment of the second option.

Step-by-step explanation:

The general slope-intercept form is given by

\(y = mx + b\)

First option leasing:

The given equation is

\(250x - y + 4000 = 0\)

We need to convert this equation into the slope-intercept form.

 \(y = 250x + 4000\)

where x represents the number of months of ownership and y represents the total amount paid for the car after ‘x' months.

The slope of the equation is 250 which represents the rate at which the value of y is increasing with respect to x.

When x = 0 then y = 4000 which represents the initial payment.

Second option financing:

We are given two points,  

\((x_1, y_1) = (0,400)\)

\((x_2, y_2) = (10,4400)\)

The slope of the equation(m) is given by

 \(m = \frac{y_2 - y_1}{x_2 - x_1} \\\\m = \frac{4400 - 400}{10 - 0} \\\\m = \frac{4000}{10} \\\\m = 400\)

To find the value of the y-intercept (b),  substitute  any of the given point into the slope intercept equation

 \(y = mx + b \\\\y = 400x + b \\\\400 = 400(0) + b \\\\b = 400\)

So the equation of the second option is

 \(y = 400x + 400\)

The slope of the equation is 400 which represents the rate at which the value of y is increasing with respect to x.

When x = 0 then y = 400 which represents the initial payment.

Comparison in terms of slope:

The slope of first option leasing = 250

The slope of second option financing = 400

The slope of the second option(financing) is greater than the first option(leasing) meaning that the monthly payments for the financing option are greater than the monthly payments of leasing.

Comparison in terms of y-intercept:

The y-intercept of first option leasing = 4000

The y-intercept of second option financing = 400

The y-intercept of the first option(leasing) is greater than the y-intercept of the second option(financing) meaning that the initial payment of the first option is greater than the initial payment of the second option.

Answer:

4/3

Step-by-step explanation:

Using the formula of rise/run:

9-1 = 8

8-2 = 6

8/6 =4/3

Answer:

500

Step-by-step explanation:

im taking the same test and i just did the math bsically the slope is the line and it always depend on what angle it goes and thjis one finishes straight so that makes the slope 500  and your welcome

The slope of the given data in the table will be 25.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

The formula to calculate the slope of the line will be given below:-

m = (y₂ - y₁) / (x₂ - x₁)

Given data is as below:-

Number of months    Savings Principal

   5                                   $125

   6                                   $150

   7                                   $175

   8                                   $200

The slope will be calculated as below:-

m = (y₂ - y₁) / (x₂ - x₁)

m = ( 150 - 125 ) / 6 - 5 )

m = 25

Therefore, the slope of the given data in the table will be 25.

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The distance that exists from the point Z is given as 150,75 feet

The larger triangle is represented by the letters B, A, and C, and the smaller triangle is located here. These points are denoted as z and y, respectively, therefore we have supplied The value of b y is 201. A c equals 512 r, p equals 384 feet, and the z  must now be located. Triangles c, a, and b are simply comparable to triangles r, p, and q, which means that a c upon r p

To solve the problem we have

Δ RPG = ΔCAB

Δc / ΔB = by / zq

ZQ = BY * RP / Ac

= 201 * 384 / 512

= 150 . 75 FEET

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a police officer is determining where to park his vehicle in order to observe traffic at the red light. if AC=512 feet, RP= 384 feet, and point Y is 201 feet from point B, how far is point Z from point Q

Answer:

Step-by-step explanation:

a = number of successful events

b = total number of events.

Answer:

6

f(x)=-.5(-2) + 5

Answer:

\(x=10\)

Step-by-step explanation:

1) Subtract 10 from both sides of the equation

\(9x+10=11x-10\\9x+10-10=11x-10-10\)

2) Simplify

a. Subtract the numbers

b. Subtract the numbers again

\(9x=11x-20\)

3) Subtract 11x from both sides of the equation

\(9x=11x-20\\9x-11=11x-20-11x\)

4) Simplify

a. Combine like terms

b. Combine like terms again

\(-2x=-20\)

5) Divide both sides of the equation by the same term

\(-2x=20\\\frac{-2x}{-2} =\frac{-20}{-2}\)

6) Simplify

a. Cancel terms that are in both the numerator and denominator

\(\frac{-2x}{-2} =\frac{-20}{-2} \\x=\frac{-20}{2}\)

b. Divide the numbers

\(x=\frac{-20}{-2x} \\x=10\)

Answer:

42 units²

Step-by-step explanation:

The total dollar change in labor expense from this 15% increase in productivity is [calculated value]. The percent change in labor expense is [calculated value].

Part I: Effective cost per hour per employee

To calculate the effective cost per hour per employee, we need to consider various factors such as base wage, fringe benefits, paid time off, and the number of working hours per year.

Base hourly wage: $12.30 per hour

Number of working hours per day: 8 (1 shift)

Number of holidays: 5

Number of vacation days: 7

First, let's calculate the total fringe benefits per hour:

Fringe benefits = 37% of base wage = 0.37 * $12.30 = $4.551

Next, let's calculate the paid time off per hour:

Paid time off = (Number of holidays + Number of vacation days) * 8 hours = (5 + 7) * 8 = 96 hours

Now, let's calculate the effective cost per hour per employee:

Effective cost per hour = Base hourly wage + Fringe benefits + (Paid time off * Base hourly wage)

Effective cost per hour = $12.30 + $4.551 + (96 * $12.30)

Part II: Reduction in labor cost

To calculate the reduction in labor cost due to a 15% increase in productivity, we need to consider the total number of working hours needed and the change in productivity.

Number of working hours needed every year: 306,050

Productivity increase from 70% to 85%: 85% - 70% = 15%

First, let's calculate the initial number of workers needed:

Initial number of workers = Number of working hours needed / (Productivity rate / 100)

Initial number of workers = 306,050 / (70 / 100)

Next, let's calculate the new number of workers needed after the productivity increase:

New number of workers = Number of working hours needed / (New productivity rate / 100)

New number of workers = 306,050 / (85 / 100)

Finally, let's calculate the total dollar change in labor expense:

Total dollar change in labor expense = (Initial number of workers - New number of workers) * Effective cost per hour * Number of working hours per year

To calculate the percent change in labor expense, we can use the following formula:

Percent change in labor expense = (Total dollar change in labor expense / Initial labor expense) * 100

Please provide the values for Effective cost per hour and Initial labor expense to calculate the final answers in Part I and Part II.

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Answer:

x = 11.8

Step-by-step explanation:

x² = 3² + 10² - 2(3)(10) · cos120°

x² = 109 - (60 · cos120°)

x² = 109 - (-30)

x² = 139

x = \(\sqrt{139}\) ≈ 11.8

Answer:

18

Step-by-step explanation:

√81 = √(9 × 9)

√81 = √(9)2

Now, remove square and square root, we get

√81 = ± 9

The answer is:

Work/explanation:

When we take the square root of a number, we get solutions that are opposites of each other. In other words, the square roots of a² are a and -a.

Similarly, the square roots of 81 are 9 and -9.

Hence, these are the answers.

Answer:

24.3

Step-by-step explanation:

tan(theta) = P/B

tan(38) = 19/x

x=19/tan(38)=24.3

a) 214 in base-five is 1324.

b) 62 in base-five is 222.

c) 8 in base-five is 13.

d) 95 in base-five is 340.

a) To determine the base five representation of 214, we need to   find the largest power of five that  is less than or equal to  214.

In this case, 125 (5³) is the largest power of five   that is less than 214.

Now, we divide 214 by 125 -  

214 ÷ 125 = 1 remainder 89

Next, we divide the remainder, 89, by the next lower power of five, which is 25 (5²) -  

89 ÷ 25 = 3 remainder 14

Finally, we divide the remaining 14 by the lowest power of five, which is 5 itself -  

14 ÷ 5 = 2 remainder 4

Therefore, the base-five representation of 214 is 1324 in base-five.

b) Following the same steps as above -  

62 ÷ 25 = 2 remainder 12

12 ÷ 5 = 2 remainder 2

Hence,  the base-five representation of 62 is 222 in base-five.

c) 8 ÷ 5 = 1 remainder 3

this menas that  the base-five representation of 8 is 13 in base-five.

d) Following the same steps as above -  

95 ÷ 125 = 0 remainder 95

95 ÷ 25 = 3 remainder 20

20 ÷ 5 = 4 remainder 0

Hence, the base-five representation of 95 is 340 in base-five.

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Answer:

y = (x-.5)^2 -12.25

Step-by-step explanation:

first, find the vertex

x from (x,y) = -b/2a

ax^2-bx - c

1x^2-1x -12

-1/2(-1) = -1/-2 - 1/2

(1/2,y) then use x value to find y value

y = 1/2^2 - 1/2 - 12

y = .25 -.5 - 12    = -12.25

(.5,-12.25) input values into this formula:

y = a(x-h)^2 + k where h = x-value and k = y-value. use same a value = 1

y = (x-.5)^2 -12.25