18. A rectangular table cloth has a width of 3 yards 1 foot and a length of 4 yards. Part A. Debbie says that the width could also be written as 4 feet. Explain wether you agree or disagree with Debbie. Part B. The cost of the fabric used to make the tablecloth is $0.25 per square foot. Explain how to find the cost of the fabric needed to make the table cloth.

The kinetic energy possessed by the skydiver is 14, 062. 5 Joules

Kinetic energy of an object is defined as the energy possessed by an object due to its motion.

It is also described as the work that is required to accelerate a body of mass from rest to its given velocity.

The formula for calculating kinetic energy is expressed as;

Kinetic energy = 1/2 mv²

Where;

Now, substitute the values

Kinetic energy = 1/2 (45)(25)²

Find the square

Kinetic energy = 1/2 (45)(625)

Find the product

Kinetic energy = 1/2(28125)

Find the quotient

Kinetic energy = 14, 062. 5 Joules

Hence, the value is  14, 062. 5 Joules

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Answer:

$7.75 per hour

Step-by-step explanation:

10 days x 8 hours = 80 hours

$620/80 hours = $7.75 per hour

Answer:

$7.75 per hour

Step-by-step explanation:

8 x 10 =80

$620=80 hours

÷80 ÷80

$7.75=1 hour

The dimensions of the enclosure that can be erected at minimum cost are 21.25 feet by 42.50 feet

From the question, the given parameters are

Area = 903 square feet

Shape = rectangle

From the question, we understand that:

One side of the area would be enclosed by the external wall of the store

If the dimensions of the area are Length (L) and Width (W), then we have

Area = LW

Perimeter = 2L + W

Rewrite as

A = LW

P = 2L + W

Substitute 903 for A in A = LW

LW = 903

Make W the subject

W = 903/L

Substitute W = 903/L in P = 2L + W

P = 2L + 903/L

Differentiate the equation

So, we have

P' = 2 - 903/L²

Set to 0

2 - 903/L² = 0

So, we have

903/L² = 2

This gives

L² = 903/2

Divide

L² = 451.5

Take the square roots

L = 21.25

Substitute L = 21.25 in W = 903/L

W = 903/21.25

Evaluate

W = 42.50

Hence, the dimensions of the enclosure are 21.25 feet by 42.50 feet

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Answer:

28 miles

Explanation:

The equation that describes the relationship between the fare and the number of miles is:

f = 2.25 + 0.20(m - 1)

Where f is the fare and m is the number of miles.

So, if the taxi fare was $7.65, we can replace f by 7.65. Then:

7.65 = 2.25 + 0.20(m - 1)

Therefore, we can calculate the number of miles by solving the equation for m. So, subtracting 2.25 from both sides:

7.65 - 2.25 = 2.25 + 0.20(m - 1) - 2.25

5.4 = 0.20(m - 1)

Dividing by 0.20, we get:

Finally, add 1 to both sides:

27 + 1 = m - 1 + 1

28 = m

So, he travels 28 miles in the taxi

Answer:

  116

Step-by-step explanation:

Given the ratio 1.2 : 29, you want x in the equivalent ratio 4.8 : x.

Equivalent ratios can be written as a proportion:

  1.2/29 = 4.8/x

Multiplying by 29x, we have ...

  1.2x = 29(4.8)

Dividing by 1.2 gives ...

  x = 29(4.8/1.2) = 29(4) = 116

The ratio is the same as 4.8 to 116.

__

Additional comment

A proportion like this can be written 4 ways. The solution takes only one step if the unknown is in the numerator.

  [tex]\dfrac{1.2}{29}=\dfrac{4.8}{x},\quad\dfrac{29}{1.2}=\dfrac{x}{4.8},\quad\dfrac{1.2}{4.8}=\dfrac{29}{x},\quad\dfrac{4.8}{1.2}=\dfrac{x}{29}[/tex]

If the average number of babies born at a private hospital's maternity wing is 6 per hour. The probability that three babies are born during a particular 1-hour period in this maternity wing is 0.09.

Mean = 6 per hours

Number of babies = 3 babies

Hence,

Now let determine the probability

Let x represent the probability

Pr(X=3) = e^-6 × 6^3 ÷ 3!

Pr(X=3) =0 .535410 ÷ 6

Pr(X=3) = 0.089

Pr(X=3) =0.09 (Approximately)

Therefore we can conclude that 0.09 is the probability.

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Question: what are the factors of the expression:

Solution:

Let the expression

If we apply the quadratic equation:

we get the zero of the polynomial

which is -1. Thus the polynomial can be factored in the following way

then, we can conclude that the factors of the given polynomial are:

(x+1) and (x+1)

Let the equired amount of 80% alcohol mixture required be 'x' mL.

If C represents the concentration and V represents the correspon

Answer: $25,272 is the answer hope it helps.

Answer:

25,272 dollars in total

Given the expression:

-8 + 12x + 7x + 12

Let's simplify the expression.

To simplify the expression, combine all like terms.

We have:

-8 + 12x + 7x + 12

= 12x + 7x + 12 - 8

Add 12x and 7x

= 19x + 12 - 8

Add 12 and -8

= 19x + 4

ANSWER:

19x + 4

Recall that in a geometric sequence, whenever we take one value of the sequence and divide it by the next number of the sequence, we would get a constant number unique to that sequence. If we take the first and second numbers and calculate the ratio, we get

if we do that with the second and third numbers, we get

this two numbers should be equal. So we get

if we multiply both sides by 3, we get

so option A is the correct option.

In order to add these numbers, first let's write all of them with the same number of decimal places:

17.34 = 17.340

8.03 = 8.030

0.009 = 0.009.

Then, let's add all algarisms that are in the same position in each number:

0 + 0 + 9 = 9

4 + 3 + 0 = 7

3 + 0 + 0 = 3

7 + 8 + 0 = 15 (5 plus 1 to next algarism)

1 + 0 + 0 (+ 1) = 2

So the final result is 25.379.

First item= $159.55

Chair= $49.75

Cubes= $29.87

Lamp= $19.78

Rounding the individual cost to the nearest $10, we get:

First item= $160

Chair= $50

Cubes= $30

Lamp= $20

The total cost will be:

$160+$50+$30+$20= $260.

The answer is: $ 260.

The combination that gives the most profit exists 12 VIP rings and 12 SST rings (900 / day).

This is a linear programming problem.

The objective function is profit R, which has to be maximized. [tex]$R=40 \mathrm{~V}+35 S$[/tex]

being V: number of VIP rings produced, and S : number of SST rings produced.

The restrictions are

Amount of rings (less or equal than 24 a day): [tex]$V+S \leq 24$[/tex]

Amount of man-hours (up to 60 man-hours per day):[tex]$3 V+2 S \leq 60$[/tex]

The number of rings of each type exists a positive integer: [tex]$V, S \geq 0$[/tex]

We get 3 points, in which 2 of the restrictions exists saturated. In one of these three points lies the combination of V and S that maximizes profit.

The points and the values for the profit function in that point are:

Point 1: V=0 and S=24

[tex]$R=40 \mathrm{~V}+35 S=40 \cdot 0+35 \cdot 24=0+840[/tex]

R = 840

Point 2: V=12 and S=12

R = 40 V+35 S [tex]=40 \cdot 12+35 \cdot 12=480+420[/tex]

R = 900

Point 3: V=20 and S=0

R = 40 V+35 S [tex]=40 \cdot 20+35 \cdot 0=800+0 \\[/tex]

R = 800

The combination that gives the most profit exists 12 VIP rings and 12 SST rings (900 / day).

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the original weight is 190 pounds

the new weight is 160 pounds

so the percentage of weight loss is

so she loss 15.78 per cent of the weight.

The tax on the chair is $7.50.

A tax is a mandatory financial charge or other sort of levy imposed by a governmental entity on a taxpayer in order to fund government spending and related public expenses.

The tax rate is the ratio at which a firm or individual is taxed in a tax system. A tax rate can be presented in numerous ways: statutory, average, marginal, and effective.

Let the cost of the chair be $150 and the assumed tax rate be 5%.

In this case, the tax on the chair will be:

= Tax rate × Cost of chair

= 5% × $150

= 0.05 × $150

= $7.50

Note that an overview was given as the information is incomplete.

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The equation is PV = nRT.

The calculations for the ideal gas law are comparison of the Pressure and Volume of gas based upon amount and temperature.

The basic formula is PV = nRT where

P = Pressure in atmospheres (atm)

V = Volume in Liters (L)

n = number of moles (mol)

R = the Ideal Gas Law Constant

T = Temperature in Kelvin (K)

The value of n is the amount of the gas measured as moles.

One may need to convert a mass to moles by dividing the given mass of the gas by the molar mass of the gas to get moles.

Hence, The equation is PV = nRT.

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Given data:

The given figure of the triangle.

The remote interior angles of ∠1 are,

Thus, the options (C) and (E) are correct.

Answer:

70 points

Step-by-step explanation:

u = US points

c = Canadian points

n = Norwegian points

u = c + 2

n = c - 4

208 = u + c + n

208 = ( c + 2 ) + c + ( c - 4 ) = 3c - 2

Isolate c:

208 = 3c - 2

210 = 3c

c = 70

1 rad x 180/pi =57.296 deg

so the answer is 744.845

Answer:

7x+9=8

Step-by-step explanation:

4-x+7x-1-8-5x+6x+13

=7x+8

:]

Answer:

d

Step-by-step explanation:

The number of years must be non-negative.

This eliminates all of the options except for d.

Rule of dilation:

Find the coordinates of the points in g(x) following the rule above:

We can represent this situation with a triangle, as shown below:

We need to calculate the angle that forms between the line of sight of the Life Guard and the swimmer. For that, we will have to use the tangent relation.

We can see two graphs and we need to determine the reason why graph A IS a function, and graph B is NOT a function.

To achieve that, we can proceed as follows:

1. A function is a relation in which for each element of the domain we have only (exactly) one element of the range.

2. The domain of a function is the values for x for which the function is defined, and the range is those values for y that result when the function takes values for x and after following the rule of the function (the values for which the function is defined).

3. To determine if a graph is a function, we can use the vertical line test. Given the above definitions, this test tells us that if a vertical line passes through a graph at more than a point, then the relation is NOT a function.

4. Now we can use the Vertical Line Test on each graph as follows:

As we can see from the graph, the vertical line passes through only one point (one value for y associated to x). We can see that the open circle indicates that the function is not defined for the value while the solid circle indicates that the function is defined for that value.

For instance, for x = -1 the value of the function is y = 0 (and not y = -1 - see the open circle). We have a similar case for x = 1 (y = 1) (not y = 0).

Therefore, graph A IS a function.

In this case, we can say that the vertical line passes through more than one point in most of the values. However, we can say that there are some values where the line passes through one point - from x = -3 to x = -2 (included) -, and for values greater than 2 (x>2).

However, since the vertical line test indicates that the line passes through more than a point (there are more than a value, y, for each x) then Graph B is NOT a function.

Therefore, in summary, we can say that using the method of the vertical line test, Graph A IS a function, while Graph B is NOT a function.

Step 1

State the formula for the area of a trapezoid

Step 2

Find the height

Hence, the height = 5m

The given expression is

To add 2 fractions we have to give them the same denominators

In the up part (numerator) we have 2 different denominators a and b

Then the common denominator of the 2 fractions must be the product of them

Then the fraction will be

Now, we will multiply the denominator of up by the denominator of the first fraction (ab x b)

Multiply b by b to simplify, then

The numerator is 2b + 7a

The denominator is ab^2

Answer:

  -12 m/km

Step-by-step explanation:

You want to know the average elevation change per kilometer given the elevation changes from 876 meters to 672 meters over a distance of 17 kilometers.

The average elevation change per kilometer is found by dividing the elevation change by the number of kilometers. The elevation change is the difference between the ending elevation and the starting elevation.

  rate of change = ((end elevation) -(start elevation))/(distance)

  = (672 m -876 m)/(17 km) = (-204 m)/(17 km) = -12 m/km

The average elevation change is -12 meters per kilometer traveled from the lodge.

__

Additional comment

Expressing both dimensions in the same unit, we can find the average grade of the road to be ...

  (-12 m)/(1000 m) = -0.012 = -1.2% . . . . . average grade of the road

Answer:

50 is next to 70 ,_(60) with the rest

Step-by-step explanation:

(50)_(60)+(70)

Answer:

B

Step-by-step explanation:

4x + 2 = 22 ( subtract 2 from both sides )

4x = 20 ( divide both sides by 4 )

x = 5