You need to buy fertilizer for a circular flower bed with a diameter of 13 feet. If one bag will fertilize 10 square feet, how many bags do you need to buy?

Answers

Answer 1

Final answer:

The area of the flower bed is approximately 132.73 square feet. Each bag of fertilizer covers 10 square feet, so we'd need 13.27 bags. Rounding up, we'll need to buy 14 bags.

Explanation:

The question involves the calculation of the area of a circular flower bed and determining the amount of fertilizer needed for that area. The area of a circle can be calculated using the formula πr², where 'r' (radius) is half of the diameter. In this case, the diameter of the flower bed is 13 feet, so the radius is 13/2 = 6.5 feet. We then square the radius (6.5²) which gives us 42.25 and multiply by π (approximately 3.14), resulting in an area of approximately 132.73 square feet. Given that each bag of fertilizer covers 10 square feet, we would need 13.27 bags of fertilizer. Since we cannot buy a fraction of a bag, we would need to buy 14 bags to fully cover the flower bed.

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Related Questions

A car traveled 360 km in 6 h. A train traveled 400 km in 8 h. A boat traveled 375 km in 5 h. Which has the fastest average speed

Answers

First, it is important to know that speed is equal to distance divided by time. I took a picture of my work. Let me know if you still have questions or cannot read something I've written. Thank you!

The most Kilometers traveled per one hour was traveled by THE BOAT at 75 Km/h. Therefore, the boat had the fastestaverage speed.

Given that 56 square equals 3,136 find the square of112

Answers

112 = 56 x 2

so 56 square = 3136

112 squared = 56 squared x 2 squared = 3136 x 4 =12544

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.

1. 7, 1+i
2.

Answers

Final answer:

The polynomial function of least degree with rational coefficients, a leading coefficient of 1, and the given zeros 7, 1 + i, and 1 - i is f(x) = x^3 - 9x^2 + 21x - 14.

Explanation:

In mathematics, zeros are the x-values where a function touches or crosses the x-axis, or the values where f(x) = 0. When a polynomial has rational coefficients and you have a complex zero (a + bi), the conjugate of that zero (a - bi) also needs to be a zero of the polynomial. This is based on the Complex Conjugate Root Theorem. Hence, in this case, the other zero will be 1 - i.

Since you are given zeroes of 7, 1 + i, and 1 - i, the polynomial function of least degree is obtained by employing the Factor Theorem, which states that if k is a zero of a polynomial, then (x - k) is a factor of the polynomial.

Therefore, f(x) = (x - 7)(x - (1 + i))(x - (1 - i)) = (x - 7)(x^2 - 2x + 2). So, f(x) = x^3 - 9x^2 + 21x - 14 is the polynomial function of least degree with rational coefficients, a leading coefficient of 1, and the given zeros.

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Three consecutive odd integers have a sum of 33 . find the integers.

Answers

9 + 11 + 13 = 33
9, 11, and 13 are all odd integers and are consecutive. When added, they total to give you 13

The length of a rectangle is 10 feet more than the width. if the perimeter of the rectangle is 180 feet, find the length and the width of the rectangle

Answers

The length would be 50 ft and the width would be 40 ft.

A survey at your school found that 792 in 1,220 students have a cell phone. what percent of the students in school has a cell phone? round to the nearest hundredth where necessary.

Answers

792/1220=0.6491...
=0.65
0.65x100=65
So 65% of the students in the school has a cell phone.

64.84% of the students in the school have a cell phone.

To find the percentage of students with cell phones, divide the number of students with cell phones by the total number of students, then multiply by 100.

Find the fraction of students with cell phones: [tex]$ \frac{792}{1220} $[/tex].

Divide to get the decimal: [tex]$ \frac{792}{1220} = 0.6484 $[/tex].

Multiply by 100 to get the percentage: [tex]$ 0.6484 \times 100 = 64.84\% $[/tex].

Which is a correct expansion of (2x+3)(2x^2-5)
A. 2x•2x^2+2x•(-5)+3•2x+3•(-5)
B. 2x•2x^2+2x•(-5)+3•2x^2+3•(-5)
C. 2x•2x^2+3•2x^2+2x^2•(-5)+3•(-5)

Answers

Use distributive property.

2x * 2x^2
2x * -5
3 * 2x^2
3 * -5

2x * 2x^2 + 2x * -5 + 3 * 2x^2 + 3 * -5
Hope this helps!

Answer: B

2X.2X^2+2X.(-5)+3.2X^2+3.(-5)

Step-by-step explanation:

(2X+3) (2X^2-5)

Cross multiply (2X+3) by (2X^2-5)

2X*2X^2+

2X*(-5)+

3*2X^2+

3*(-5)

= 2X*2X^2+2X*(-5)+3*2X^2+3*(-5)

k + k divided by 2 when k = 20

Answers

The answer would be 20 because 20 plus 20 equals 40, and 40 divided by 2 equals 20! Hope this helped!

A squirrel is traveling at a rate of 12 miles per hour. Write the rate in miles per minute.

Answers

1 hour = 60 minutes

12/60 = 0.2 miles per minute

Given the statement "If Jack’s pet is a pig, then Jack’s pet cannot fly,” which statement represents the converse?

q → p, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly~q → ~p, where p = Jack’s pet cannot fly and q = Jack’s pet is a pig p → q, where p = Jack’s pet is a pig and q = Jack’s pet cannot flyq → p, where p = Jack’s pet is not a pig and q = Jack’s pet is a pig

Answers

the answer is A just had the practice quiz

Converse statement of "If Jack’s pet is a pig, then Jack’s pet cannot fly,” is given by " q → p, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly."

What is converse statement?

" Converse statement is defined as when the hypothesis and conclusion of a statement interchange or reversed."

According to the question,

Given,

p → q

Hypothesis of a statement 'p': If Jack’s pet is a pig

Conclusion of a statement 'q' : then Jack’s pet cannot fly

Converse of a statement is given by reversing hypothesis and conclusion we get,

q → p

Hypothesis of a statement 'q' : If Jack’s pet cannot fly

Conclusion of a statement 'p': then Jack’s pet is a pig

Hence, converse statement is given by q → p, where p = Jack’s pet is a pig and q = Jack’s pet cannot fly.

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Find the derivative of f(x) = 7 divided by x at x = 1.

Answers

I find it best to switch everything exponents when taking derivatives.
F(x) = 7/x
Same as..
F(x) = 7x^-1
Take derivative..
F'(x) = -7x^-2
Plug in x = 1
F'(1) = -7(1)^-2
F'(1) = -7

The solution is, the derivative of f(x) = 7 divided by x at x = 1 is -7.

What is derivative?

A derivative is described as either the rate of change of a function, or the slope of the tangent line at a particular point on a function.

here, we have,

given that,

the derivative of f(x) = 7 divided by x at x = 1.

so, we get,

F(x) = 7/x

Same as..

F(x) = 7x^-1

we know that,

d/dx (x^n) = n*x^n-1

so, using this, we get,

Take derivative..

F'(x) = -7x^-2

Plug in x = 1

F'(1) = -7(1)^-2

F'(1) = -7

Hence, The solution is, the derivative of f(x) = 7 divided by x at x = 1 is -7.

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3(6/8−1/2)+0.25 Please help with fractions

Answers

Parenthesis first. 6/8 - 1/2 = 1/4 or 0.25

Now we do 1/4 * 3 = 3/4 or 0.75

Finally, we do 3/4 + 0.25 [1/2] = 5/4 or 1.

Hope this helps! ☺♥

Hey Bryce!

[tex]3( \frac{6}{8} - \frac{1}{2}) + 0.25[/tex]
[tex]3( \frac{3}{4} - \frac{1}{2}) + 0.25[/tex]
[tex]3( \frac{1}{4}) + 0.25 [/tex]
[tex] \frac{3}{4} + 0.25 = 1 [/tex]

Good luck!

The petting zoo is not closed and the animals are not being fed by people.

write the statement that is logically equivalent to the statement

Answers

De Morgan's laws of distributing negation over disjunction and conjunction states that

1.) ¬ ( a ∨ b ) ≡ ( ¬ a ∧ ¬ b )
2.) ¬ ( a ∧ b ) ≡ ( ¬ a ∨ ¬ b )

Thus, given the statement "The petting zoo is not closed and the animals are not being fed by people."

The statement is the conjunction of the negation of the statement "The petting zoo is closed" and the negation of the statement "The animals are being fed by people".

Using the first of De Morgan's laws above, we have that the equivalence of the statement given above is: "It is not the case that the petting coo is closed or the animals are being fed by people".

Jean has $20 and is going shopping to buy 3 scarves and as many pairs of earrings as possible. How many pairs of earrings can she buy if scarves cost $2.55 each and earrings cost $2.99 a pair? Jean can buy at least 4 pairs of earrings. Jean can buy more than 4 pairs of earrings. Jean can buy less than 4 pairs of earrings. Jean can buy at most 4 pairs of earrings.

Answers

If scarves cost $2.55 each, and she is buying three: 2.55(3)= $7.65
20 - 7.65= $12. 35
you have $12.35 left to buy earrings
12.35 / 2.99= 4, Jean can only buy 4 pairs of earrings

Bob runs 5 miles in 38 minutes. at the same rate, how many miles would he run in 57 minutes?

Answers

Sent a picture of the solution to the problem (s).

How to find third point between two points given coordinates?

Answers

Using the midpoint formula, you can find the third point in between 2 given points.

Put in values into the equation; (x₁+x₂)/2, (y₁+y₂)/2

This equation will give you the coordinates for the point in the middle (x, y).

Hope I helped :)

Which equation exemplifies the Associative property of addition?

8+2=2+8

4+(2+1) = (4+2)+1

4+5=1+8

9(5•6)=(9•5)6

Answers

1) C(2
2) A(-4
3) B(4+(2+1)=4+2)+1
4) D(3(2x4)=(3x2)4
5) A(5+6=6+5
6) C(12x1=1x12
7) D(Exponents
8) A(addition and subtraction
9) A(55
10) B(19

Answer:

Equation which exemplifies the associative property of addition is:

4+(2+1) = (4+2)+1

Step-by-step explanation:

The associative property of addition says that:

if a,b and c are the three terms

Then,

a+(b+c)=(a+b)+c

which is given in the equation:

4+(2+1) = (4+2)+1

Hence, equation which exemplifies the associative property of addition is:

4+(2+1) = (4+2)+1

Select the equation that most accurately depicts the word problem.

The perimeter of a rectangle is 68 inches. The perimeter equals twice the length of L inches, plus twice the width of 9 inches.

68 = 9L + 2
68 = 2L + 2(9)
68 = 9(L + 2)
68 = + 2(9)
68 = +
68 = 2(L - 9)

Answers

68 = 2L + 2(9)

hope that helps, God bless!

Answer:

68 = 2L + 2(9)

Step-by-step explanation:

What is the perimeter of a polygon with vertices at (−2, 1) , (−2, 4) , (2, 7) , (6, 4) , and (6, 1) ?

Enter your answer in the box. Do not round any side lengths.

____ units

Answers

First we need the distances of the sides of the polygon, because perimeter = sum of all sides.
[tex]d = \sqrt{{(y2 - y1)}^{2} + {(x2 - x1)}^{2} } [/tex]
[tex]d1 = \sqrt{{(1 - 4)}^{2} + {( - 2 - - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3[/tex]
[tex]d2 = \sqrt{{(4 - 7)}^{2} + {( - 2 - 2)}^{2} } \\ = \sqrt{{(- 3)}^{2} + {( -4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5[/tex]
[tex]d3 \: = \sqrt{{(7 - 4)}^{2} + {(2 - 6)}^{2} } \\ = \sqrt{{(3)}^{2} + {( - 4)}^{2} } = \sqrt{9 + 16} \\ = \sqrt{25} \: = 5[/tex]
[tex]d4 = \sqrt{{(4 - 1)}^{2} + {(6 - 6)}^{2} } \\ = \sqrt{ {(3)}^{2} + {(0)}^{2} } = \sqrt{9} \: = 3[/tex]
[tex]d5 = \sqrt{{(1 - 1)}^{2} + {(-2 - 6)}^{2} } \\ = \sqrt{ {(0)}^{2} + {( - 4)}^{2}} = \sqrt{16} \: = 4 [/tex]
Now, we add all sides for the perimeter:
p = d1 + d2 + d3 + d4 + d5
p = 3+5+5+3+4 = 20 units

The other answer was using the formula correctly through most of the problem, but made a mistake when finding the last distance (#5). The person took away (-2-6 = - 4), which is incorrect. The correct answer is -8 because your adding two negatives. So, the correct answer for the whole problem is 24 units.

Good job to the person who answer they did the whole math problem - just made a little mistake at the end.

Mari has a part time job. She earns $7 an hour. She makes at most $143.50 a week. What is the greatest number of hours that she works?

Answers

If Mary earns 7$ an hour, we need to multiplicate 7$ by the number of hours worked for the entire week so we can get the salary per week. And when we want to know how many hours she had worked, we have to "transform" the equation : Salary per week = salary per hours x worked hours Here, we know to informations : salary per hours and salary per week. Worked hours = salary per week / salary per day Worked hours = 143.50 / 7 Worked hours = 20.5 The greatest number of hours thats he works is 20h30.

Final answer:

Mari works at most 20 hours per week.

Explanation:

To find the greatest number of hours that Mari works, we can divide her total weekly earnings by her hourly wage. In this case, we divide $143.50 by $7. The result is approximately 20.5. Since Mari cannot work a fraction of an hour, we round down to the nearest whole number. Therefore, the greatest number of hours she works is 20 hours.

Yulian works at the zoo feeding the animals. He puts water in the elephant habitat at the beginning of the day. This table shows how much water, in gallons, remains at different times during the day. Time (h) 2 4 6 8 Water remaining (gal) 43 36 29 22 What is the equation that represents Yulian’s situation, where x represents the time and y represents the amount of water? Enter your answer in the boxes. y−29=___ (x−___ )

Answers

The given data is
time (h): 2 4 6 8
gallons: 43 36 29 22

A graph of the data shows a linear relationship.
Therefore in slope-intercept form, let
(y - 29)/(x - 6) = m
where m = the slope of the straight line.

Calculate the slope.
m = (43 - 22)/(2 - 8) = -7/2

Answer: [tex]y-29 = - \frac{7}{2} (x-6)[/tex]

A stock market analyst observes the following for the price of two stocks that he owns, one of which is increasing at an exponential rate (geometric) and the other is increasing in a linear fashion (arithmetic).

Stock A: Equation: an = 15n + 130, where an is the value of the stock and n is the number of years.

Year Price
1 $145.00
2 $160.00
3 $175.00
4 $190.00
5 $205.00

Stock B: Equation: an = 36(1.09)n − 1, where an is the value of the stock and n is the number of years.

Year Price
1 $36.00
2 $39.24
3 $42.77
4 $46.61
5 $50.82

Assuming these stock values continue to increase in the same manner until retirement, which stock option is worth more in 50 years and how much more is this stock worth per share?

OPTIONS:
A) Stock B is worth more in 50 years, $1,575.84 more per share
B) Stock A is worth more in 50 years, $1,364.08 more per share
C) Stock B is worth more in 50 years, $1,796.87 more per share
D) Stock A is worth more in 50 years, $880.00 more per share

Answers

in 50 years stock A realises 15*50 + 130 = $880

in 50 yeras stock B gives 50(1.09)^50 = $2676.87

2676.87 - 880 = $ 1796.87 / share

Its C

Final answer:

Stock B is worth more in 50 years, $1,575.84 more per share.

Explanation:

To determine which stock option is worth more in 50 years, we need to find the value of each stock after 50 years.

For Stock A, we have the equation: an = 15n + 130. Plugging in n = 50, we get a50 = 15(50) + 130 = $880.

For Stock B, we have the equation: an = 36(1.09)n - 1, where n is the number of years. Plugging in n = 50, we get a50 = 36(1.09)^50 - 1 = $2,455.84.

Therefore, Stock B is worth more in 50 years, $1,575.84 more per share.

The lengths of the sides of a triangle are 8, 15, and 17. if the longest side of a similar triangle is 51, what is the length of the shortest side?

Answers

If the longest side on the similar triangle is 51 and the longest side of the first triangle is 17, then you divide 51 and 17.

51 / 17 = 3

So the similar triangle is 3 times as big.
To find the shortest side of the similar triangle, you multiply 8 and 3.

8 * 3 = 24

The length of the shortest side of the similar triangle is 24.

Hope this helps!

he length of the shortest side is 32

Similar triangles and scale factors

Given the length if the sides of the triangle to be 8, 15 and 17. If the longest side of a similar triangle is 51, then the scale factor will be expressed as:

Scale factor = 51/17

Scale factor = 4

For the shortest side;

Length = 8 * scale factor

Length = 8 * 4

Length = 32

Hence the length of the shortest side is 32

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On a clear day you can see about 27 miles from the observation deck of the Empire State Building in New York City. Using the formula below, estimate the height in feet ,h, of the observation deck.

Answers

The answer is 1050 or answer c. Goodluck on the rest of the quiz

Answer:

Step-by-step explanation:

Alright, lets get started.

Distance we can see from the building d is given as 27 miles.

We are asked to find height of the building h

The formula is given as [tex]d=\frac{5}{6}\sqrt{h}[/tex]

Plugging the value of d

[tex]27=\frac{5}{6}\sqrt{h}[/tex]

Cross multiplying

[tex]\sqrt{h}=\frac{6}{5}*27[/tex]

[tex]\sqrt{h}=32.4[/tex]

Taking square root on both sides

[tex]h=1049.76[/tex]

So, the height of the observation desk is 1050 feet. : Answer

Hope it will help :)

at a local pizza parlor, patrons have 2 choices of cheese and 14 choices of topping. in how many different ways can a patron choose 1 type of cheese and 1 type of topping?

30

28

16

2

Answers

the answer would be 28

How is 10 ounces written using apothecary abbreviations?

Answers

Apothecary abbreviations or apothecary symbols are usually found in medical recipes. For this case, we are to write 10 ounces into apothecary symbols. In this abbreviation, numbers are written in Roman Numeral and the unit precede the number, hence:

oz x

Final answer:

10 ounces can be written as 10 oz in apothecary abbreviations.

Explanation:

To write 10 ounces using apothecary abbreviations, we need to convert ounces to the appropriate apothecary unit. In the apothecary system, 1 ounce is abbreviated as oz. So, 10 ounces would be written as 10 oz in apothecary abbreviations.

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fine the distance between 8 and 32

Answers

Let d = distance between the two given numbers.

d = 32 - 8

d = 24

The difference is 24.

Do 32 minus 8
The answer is 24

The measure of each interior angle of a regular polygon is eleven times that of an exterior angle how many sides does the polygon have

Answers

let there be x sides.
180(x-2)/x=11*360/x
180(x-2)=11*360
x-2=11*2
x-2=22
x=24

the polygon has 24 sides.

The polygon would have 24 sides.

[tex]\frac{180n - 360}{n}[/tex] ≈ [tex]\frac{360}{n}[/tex] ([tex]\frac{11}{1}[/tex])

[tex]\frac{180n - 360}{n}[/tex] = [tex]\frac{3960}{n}[/tex]

180n - 360 = 3,960

180n = 4,320

n = 24

What geometric term does the flight path of a plane on radar represent?

A line B plane C angle D point

Answers

the answer is A. Line

The Geometric Term that best approximates this reality is option A (A line).

Planes usually travel in a straight Line at constant Speed, Flight Path represents the Trajectory taken by the Plane and shown on radar, which can be either a Line or a Curve.

Hence, the Geometric Term that best approximates this reality is option A (A line).

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Write an equivalent expression for 5x + 2y + 3x

Answers

Well, if you combine like terms that version of this equation would be equivalent.
5x + 2y + 3x = 8x + 2y

I'm not sure if this is the answer you're looking for but, I hope this helps!

The equivalent expression is 8x + 2y.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

5x + 2y + 3x

Add like terms.

8x + 2y

Thus,

The final expression is 8x + 2y.

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