A bag of garden soil weighs 44 pounds and holds 5cubic feet. Find the weight of 15 bags in kilograms and the volume of 15 bags in cubic yards.

Answer: $1.65

Step-by-step explanation: 19.80 / 12 = 1.65

Answer:

20

Step-by-step explanation:

8 is near to 10 so +1

The percent error of the estimate is -2.14%

In this question, the figures are given as

Estimate = 5.5 cm

Actual = 5.62 cm

The percentage of the error is then calculated using the following equation

Error percentage = (Estimate - Actual)/Actual * 100%

Substitute the known values in the above equation, so, we have the following representation

Error percentage = (5.5 - 5.62)/5.62 * 100%

Evaluate

Error percentage = -2.14%

Hence, the error percentage is -2.14%

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The option that should be used for the IV order for the hypokalemic patient would be A. 0. 5 %.

The concentration of the stock solution signifies the proportion of potassium chloride within the total volume or quantity of the solution. 0.5% concentration implies that 0.5 grams of potassium chloride is present within 100 mL of the solution.

The 0. 5 % solution is already the correct concentration and can be added directly to the IV minibag. Selecting the appropriate concentration necessitates careful consideration of the desired potassium chloride dose for the patient and the desired volume to be incorporated into the IV minibag.

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The transformation function can be represented as vwxyz \($\rightarrow$\)qrstu = (v,w,x,y,z) \($\rightarrow$\) (q,r,s,t,u).

This algebraic representation of the transformation of pentagon vwxyz into pentagon qrstu is using the notation of a function. A function takes an input (in this case, the coordinates of pentagon vwxyz) and produces an output (in this case, the coordinates of pentagon qrstu). This transformation can be represented by the notation (v,w,x,y,z) \($\rightarrow$\) (q,r,s,t,u). This notation means that the coordinates (v,w,x,y,z) are being transformed into the coordinates (q,r,s,t,u). This notation is a concise way of expressing the transformation of pentagon vwxyz into pentagon qrstu. It is important to note that the transformation itself is not specified; the notation is simply used as a way of representing the transformation.

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The total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

To determine the number of possible outcomes, we need to consider the number of outcomes for each event and then multiply them together.

1. Picking a marble: Let's assume there are n marbles to choose from. If there are n marbles, then the number of outcomes for this event is n.

2. Rolling a die: A standard die has 6 sides numbered 1 to 6. Therefore, the number of outcomes for this event is 6.

3. Picking a card: A standard deck of cards has 52 cards. Hence, the number of outcomes for this event is 52.

To find the total number of possible outcomes, we multiply the number of outcomes for each event together:

Total number of outcomes = (number of outcomes for picking a marble) × (number of outcomes for rolling a die) × (number of outcomes for picking a card)

Total number of outcomes = n × 6 × 52

Therefore, the total number of possible outcomes is given by the expression 6n × 52, where n represents the number of marbles to choose from.

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Answer:

Slope = 3

Step-by-step explanation:

The slope is m in the picture.

Answer:  

The slope is 3

Step-by-step explanation:

we use the equation :  \(m=\frac{y2 - y1}{x2 - x1} = \frac{?}{?} =(simplify)\frac{?}{?}\)   to find the slope so when we use the equation it should look like this:   \(m=\frac{8-2}{(-2)-(-4)} =\frac{6}{2} =(simplify) 3\)

Answer:

to solve the equation you first need to bring it to factors and by doing that you first need to let the equation equal 0 hence you need to minus 2 on both sides of the equation therefore

x^2 + 10x + 25 - 2 =2 - 2

therefore

x^2 + 10x +23 = 0

now since the equation cannot be factored, we use the formula.

x= \(\frac{-b +- \sqrt{b^{2}-4ac } }{2a}\)

where

a=1

b=10

c=23

note we use the coefficients only.

therefore x = \(\frac{-10 -+ \sqrt{10^{2}-4(1)(23) } }{2(1)}\)

=\(\frac{-10-+\sqrt{100-92} }{2}\)

=\(\frac{-10-+\sqrt{8} }{2}\)

then we form two equations according to negative and positive symbols

x=\(\frac{-10+\sqrt{8} }{2} or x =\frac{-10-\sqrt{8} }{2}\)

therefore x = \(-5+\sqrt{2}\)   or x=\(-5-\sqrt{2}\)

The sector area of a circle is given by the formula:

We know that the sector area is 76 square inches and the central angle is 210, then by replacing those values we have:

Now, solve for r:

Thus, the radius of the circle is 6.44 inches.

Answer:

30

Step-by-step explanation:

5x6=30

Answer:

Step-by-step explanation:

The average salary in this city is $45,600.

Using the formula

z score = x - u /(sd/√n)

Where x is 46,356, u is 45,600 sd is 15,930 and n is 53.

z = 46,356 - 45600 / (15930/√53)

z = 756/(15930/7.2801)

z = 756/(2188.1568)

z = 0.3455

To draw a conclusion, we have to determine the p value, at 0.05 level of significance for a two tailed test, the p value is 0.7297. The p value is higher than the significance level, thus we will fail to reject the null and can conclude that there is not enough statistical evidence to prove that the average is any different for single people.

Answer:

variable

Step-by-step explanation:

lndividuals are the people or objects included in the study. A variable is the characteristic of the individual to be measured or observed. For example, if we want to do a study about the people who have climbed Mt.

Answer:

variable is the characteristics of an individual to be observed or measured.

please follow me

Answer:

y = 3x - 9

Step-by-step explanation:

✔️Find the slope of the line perpendicular to the given graph of equation:

A line that is perpendicular to the graph of the equation y = -⅓x + 4, will have a slope value that is the negative reciprocal of the slope of the graph of the given equation.

The slope of y = -⅓x + 4 is -⅓.

Negative reciprocal of -⅓ = 3

Slope of the line (m) = 3

✔️Find the y-intercept (b):

Substitute (x, y) = (4, 3) and m = 3 into y = mx + b

3 = 3(4) + b

3 = 12 + b

3 - 12 = b

-9 = b

b = -9

✔️Write the equation:

Substitute m = 3 and b = -9 into y = mx + b

y = 3x + (-9)

y = 3x - 9

Answer:

option #2

Step-by-step explanation:

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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8.75

-1 2/3 × (-5 1/4)

=35/4

= 8 3/4

= 8.75

Answer:

answer B

Step-by-step explanation:

the front elevation is facing you and has 2 squares on the top-layer and the bottom row starts under the right top-layer square

that makes the answer B.  I'm prett sure

Answer:

I believe the answer is B

Answer:

250=a and b=10

Step-by-step explanation:

To find the endpoint coordinates for the midsegment of ABCD that is parallel to BC, we need to determine the midpoints of the corresponding sides.

Let's start by finding the midpoint of BC. The coordinates of B are (-5, 4) and the coordinates of C are (2, 3). To find the midpoint, we average the x-coordinates and the y-coordinates separately:

Midpoint of BC:

x-coordinate: (-5 + 2) / 2 = -3/2 = -1.5

y-coordinate: (4 + 3) / 2 = 7/2 = 3.5

So, the midpoint of BC is (-1.5, 3.5).

Now let's find the midpoint of AD. The coordinates of A are (-4, 6) and the coordinates of D are (8, 9).

Midpoint of AD:

x-coordinate: (-4 + 8) / 2 = 4 / 2 = 2

y-coordinate: (6 + 9) / 2 = 15 / 2 = 7.5

So, the midpoint of AD is (2, 7.5).

Therefore, the endpoints of the midsegment of ABCD that is parallel to BC are (-1.5, 3.5) and (2, 7.5).

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The number of non-working light bulbs that would be expected in the group of 1,000 light bulbs is: 50 bulbs

In survey sampling, the term probability of selection is one that refers to the chance (i.e. the probability from 0 to 1) that a member (element) of a population can be chosen for a given survey.

We are told that a sample of 40 bulbs were picked from a box of 1000 bulbs and it was discovered that 2 of the bulbs were not working. Thus:

Fraction of bulbs not working = 2/40 = 0.05

Thus, number of bulbs not working in a sample of 1000 bulbs is:

0.05 * 1000 = 50 bulbs

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Answer:

P=140cm

Step-by-step explanation:

P=2(l+w)

d=w2+l2

Solving forP

P=2w+2d2﹣w2=2·30+2·502﹣302=140cm

Hope This Kind of Helps

Answer: 140cm

P=2(l+w)  

P=2w+2d2﹣w2=2·30+2·502﹣302=140cm

The polynomial function f(x) which produced the graph shown is f(x) = -6(x - 1/2)²(x + 1)²(x - 2).

In Mathematics and Geometry, a polynomial graph touches the x-axis at zeros, roots, solutions, x-intercepts, and factors with even multiplicities.

By critically observing the graph of the polynomial function shown above, we can logically deduce that its x-intercepts include the following;

x = -1 ⇒ x + 1 = 0.

x = 2 ⇒ x - 2 = 0.

Also, the graph has a zero of multiplicity 2 at x = 1/2;

x = 1/2 ⇒ x - 1/2 = 0.

(x - 1/2)²

In this context, an equation that represent the polynomial function is given by:

f(x) = a(x - 1/2)²(x + 1)²(x - 2)

By evaluating and solving for the leading coefficient "a" in this polynomial function based on the y-intercept (0, 3), we have;

3 = a(0 - 1/2)²(0 + 1)²(0 - 2)

3 = a(1/4)(-2)

3 = -a/2

a = -6.

Therefore, the required polynomial function is given by:

f(x) = -6(x - 1/2)²(x + 1)²(x - 2)

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It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.

The rate of change of the simple index over one day is approximately 12.78%.

To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.

On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:

Total value of Stock A on Monday = 5000 * $2.75 = $13,750

Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:

Total value of Stock B on Monday = 3000 * $4.30 = $12,900

The total value of the index on Monday is the sum of the values of Stock A and Stock B:

Total value of the index on Monday = $13,750 + $12,900 = $26,650

On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.

The total value of Stock A on Tuesday is:

Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500

The total value of Stock B on Tuesday is:

Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550

The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:

Total value of the index on Tuesday = $15,500 + $14,550 = $30,050

To calculate the percent change in the index, we use the formula:

Percent Change = ((New Value - Old Value) / Old Value) * 100

Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%

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Let's denote the amount Jolene invested at 3 percent interest as 'x' dollars. Since she put twice as much in the lower-yielding account, the amount she invested at 9 percent interest would be '2x' dollars.

To calculate the interest earned from each account, we'll use the formula: Interest = Principal × Rate × Time.

For the 3 percent interest account:

Interest_3_percent = x × 0.03

For the 9 percent interest account:

Interest_9_percent = 2x × 0.09

We know that the total annual interest is $3120, so we can set up the equation:

Interest_3_percent + Interest_9_percent = 3120

Substituting the above equations, we have:

x × 0.03 + 2x × 0.09 = 3120

Simplifying the equation:

0.03x + 0.18x = 3120

0.21x = 3120

Dividing both sides of the equation by 0.21:

x = 3120 / 0.21

x = 14857.14

Therefore, Jolene invested approximately $14,857.14 at 3 percent interest and twice that amount, $29,714.29, at 9 percent interest.

Answer:

Step-by-step explanation:

X is the amount invested at 6%

Y is the amount invested at 9%

0.06X + 0.09Y = 4998

X = 2Y

0.06(2Y) + 0.09Y  = 4998

.12Y + 0.09Y = 4998

0.21Y = 4998

21Y = 499800

Y = 499800/21 = 23800

So X = 2*23800 = 47600

$47,600 is invested at 6% and $23800 is invested at 9%

Given:

Total earning = $70

He spends \(\dfrac{1}{5}\) of the total amount on movies.

He then spends \(\dfrac{1}{2}\) of the remaining money on school clothes.

To find:

The remaining money.

Solution:

We have,

Total earning = $70

He spends \(\dfrac{1}{5}\) of the total amount on movies.

Money spent on movie is

\(\$70\dfrac{1}{5}=\$14\)

Remining money after movie is

\(\$70-\$14=\$56\)

He then spends \(\dfrac{1}{2}\) of the remaining money on school clothes.

Money spent on school clothes is

\(\$56\times \dfrac{1}{2}=\$28\)

Remining money after movie and school clothes is

\(\$56-\$28=\$28\)

Therefore, the remaining money is $28.