For anyone doing the USA test prep the correct answer is 37.7 cubic feet!
The volume of mulch needed for the flower garden is approximately 37.68 cubic feet.
Explanation:To find the volume of mulch needed for a circular flower garden, we first need to calculate the volume of the garden. The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height. In this case, the radius is half the diameter, so r = 12/2 = 6 feet. The height is the thickness of the mulch, which is 4 inches or 4/12 = 1/3 feet. Plugging these values into the formula, we get V = π(6)^2(1/3). To simplify further, we can use the approximate value of π as 3.14. Therefore, the volume of mulch needed for the flower garden is approximately 37.68 cubic feet.
a swimming pool has 500 gallons of water in it and is leaking. the change in the amount of water in the pool is -3 gallons per hours. how many gallons of water will the pool contain after 6 hours show your work
The swimming pool will contain 482 gallons of water after 6 hours.
Explanation:To find out how many gallons of water the pool will contain after 6 hours, we can use the formula: Volume = initial volume + rate of change * time. In this case, the initial volume is 500 gallons, the rate of change is -3 gallons per hour, and the time is 6 hours.
Using the formula, we have: Volume = 500 + (-3 * 6) = 500 - 18 = 482 gallons.
Therefore, the pool will contain 482 gallons of water after 6 hours.
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Find the value of 65 rounded to the nearest tenth
Write 1/1,024 as an expression using a negative exponent other than -1
Answer:
[tex]\frac{1}{2^{10}}=2^{-10}[/tex]
Step-by-step explanation:
[tex]\frac{1}{1024}[/tex]
To get the expression with negative exponent , we need to convert the number 1024 in exponential form
[tex]1024= 2^5 \cdot 2^5= 2^{10}[/tex]
Replace the denominator by 2^10
[tex]\frac{1}{2^{10}}[/tex]
Now we apply exponential property
[tex]\frac{1}{a^m} =a^{-m}[/tex]
[tex]\frac{1}{2^{10}}=2^{-10}[/tex]
negative exponent other than -1 is [tex]\frac{1}{2^{10}}=2^{-10}[/tex]
what are materials both the moon and Earth have?
example : both the moon and earth have craters
Rhonda bought her son an inflatable pool for the summer. It took her 20 mins to fill the pool to a depth of 6 in. What is the unit rate per minute(in per minute)
What is the unit rate per inch(mins per in)
what is 9.868+6.329 =
Susan has 3 shirts ; red, blue, and green; jeans and khakis; and 3 shoes; white, black, and tan , to choose from for her school outfit. How many different outfits can she create
Which variable expression represents the word phrase? the sum of 12 and the quotient of 9 and a number
Answer:
The required expression is [tex]12+\frac{9}{y}[/tex].
Step-by-step explanation:
Consider the provided phrase.
The sum of 12 and the quotient of 9 and a number
Let the number is y and the quotient of 9 and a number can be written as:
[tex]\frac{9}{y}[/tex]
Thus, the sum of 12 and the quotient of 9 and a number can be written as:
[tex]12+\frac{9}{y}[/tex]
Hence, the required expression is [tex]12+\frac{9}{y}[/tex].
The value of Maggie's car decreased by 10% since last year, when she bought it. If the car is now worth $17,000.00, how much was the car worth when she bought it?
A.
$20,000.00
B.
$18,700.00
C.
$18,888.89
D.
$17,894.74
Mr. franklin paid $33.20 for 8 gallons of gas. What is the price of 1 gallon ?
Which ordered pairs are solutions to the equation?
y = 3x – 4
A.
(11, 5) and (2, 2)
B.
(5, 11) and (3, 2)
C.
(5, 11) and (2, 3)
D.
(5, 11) and (2, 2)
list the first 5 multiples and find ALL the factors of 18. Prime or Composite?
The first 5 multiples of 18 is = 18 , 36 , 54 , 72 , 90
The factors of 18 are = 1 , 2 , 3 , 6 , 9 and 18
What are Factors of a Number?
Numbers that divide an original number evenly or precisely are known as its factors. A factor is a whole number that can divide a larger number in two equal parts. A factor is a number that divides another number, leaving no remainder
Given data ,
Let the number be A = 18
Now ,
The factors of 18 are = 1 , 2 , 3 , 6 , 9 and 18
The factor pairs of 18 is given by
Factor pairs are the two numbers that, when multiplied, give the number 18.
Therefore, pair factors of 18 are (1,18), (2,9), and (3,6)
The prime factorization of 18 is
Prime Factorization of 18 = 2 × 3²
The first 5 multiples of 18 is = 18 , 36 , 54 , 72 , 90
Hence , first 5 multiples of 18 are 18 , 36 , 54 , 72 , 90 and the factors of 18 are 1 , 2 , 3 , 6 , 9 and 18
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A expression like ( 3+5) × (4-1) is a combination of numbers and at least one operation. Fill in the blank
An expression like (3+5) × (4-1) is a combination of numbers and at least one operation. The expression can be simplified by performing the operations in the parentheses first, then applying the multiplication operation.
Explanation:An expression like (3+5) × (4-1) is a combination of numbers and at least one operation. In this expression, the numbers 3, 5, 4, and 1 are combined using the addition and subtraction operations. The addition operation is represented by the symbol '+', and the subtraction operation is represented by the symbol '-'. The expression can be simplified by performing the operations in the parentheses first, then applying the multiplication operation:
(3+5) × (4-1) = 8 × 3 = 24
Convert 7.7km into miles if 1.6 km = 1 mile
A boa constrictor is 18 inches long at birth and grows 8 inches per year. Write an equation that represents the length Y (in feet) of a boa constrictor that is X years old.
This is writing equations in slope intercept form and I tried y=8x+18 but it didn't work.
Final answer:
The length Y (in feet) of a boa constrictor that is X years old is given by the equation Y = 0.6667X + 1.5. This equation takes into account the initial length of 1.5 feet at birth and an annual growth of 0.6667 feet.
Explanation:
To write an equation representing the length Y (in feet) of a boa constrictor that is X years old, we need to start with its initial length at birth and account for its growth over the years. The boa constrictor is 18 inches long at birth and grows 8 inches per year. However, we want Y to be in feet, so we must convert these measurements from inches to feet (since 1 foot = 12 inches).
To convert the initial length from inches to feet, we divide 18 inches by 12, which gives us 1.5 feet. The annual growth should also be converted from inches to feet by dividing 8 inches by 12, resulting in approximately 0.6667 feet.
So, using slope-intercept form (Y = mx + b), our equation is:
Y = 0.6667X + 1.5
This equation states that the boa constrictor starts with a length of 1.5 feet at birth (Y-intercept) and grows about 0.6667 feet for every year that passes (the slope).
Lyza has a 9 inch board. She wants to measure the length of a small rug in feet. How can she do this?
The length of a small rug in feet is 0.75.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Lyza has a 9-inch board.
She wants to measure the length of a small rug in feet.
For that,
divide the length by 12 inches.
Measure of the small rug,
= 9/12
= 0.75 feet.
Therefore, 0.75 feet is the small rug.
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What is 2+2 (experimental) i am just checking to see if this website works
Which shows the expression below in simplified form?
(5.5 × 10^-6) - (3.7 × 10^-7)
A.
1.8 × 10^-6
B.
1.8 × 10^-7
C.
5.463 × 10^-6
D.
5.13 × 10^-6
Answer:
Option D.
Step-by-step explanation:
The given expression is [tex](5.5\times 10^{-6})-(3.7\times 10^{-7} )[/tex]
We have to write it in the simplified form.
[tex](5.5\times 10^{-6})-(3.7\times 10^{-7} )[/tex]
= [tex](5.5\times 10^{-6})-(0.37\times 10^{-6} )[/tex]
= (5.5 - 0.37)×[tex]10^{-6}[/tex]
= 5.13×[tex]10^{-6}[/tex]
Option D will be the answer.
Explain why -4 is greater than -10 even though 4 is less than 10
If you can buy 1⁄3 of a pound of turkey for 4 dollars, how much can you purchase for 10 dollars? Write your answer as a fraction of a pound.
Answer:
[tex]\frac{5}{6}[/tex] pound of turkey you purchase for 10 dollars
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity 1 such as 3 meter per second or 4 miles per hour.
As per the statement:
If you can buy 1⁄3 of a pound of turkey for 4 dollars
by definition of unit rate we have;
[tex]\text{Unit rate per dollars} = \frac{\frac{1}{3} }{4} = \frac{1}{12}[/tex] pound of turkey.
We have to find how much can you purchase for 10 dollars.
[tex]\text{Weight of turkey for 10 dollars} = \text{Unit rate per dollars} \times 10[/tex]
⇒[tex]\text{Weight of turkey for 10 dollars}=\frac{1}{12} \times 10 = \frac{5}{6}[/tex] pound
Therefore, [tex]\frac{5}{6}[/tex] pound of turkey you purchase for 10 dollars
compare the ratios 9/2 and 10/7
What is the sum of the interior angles in a hendecagon
Josie has 250 cubic centimeters of candle wax. She wants to make a hexagonal prism candle with a base area of 21 square centimeters and a height of 8 centimeters. She also wants to make a triangular prism candle with a height of 14 centimeters. Can the base area of the triangular prism candle be 7 square centimeters?
3x + 2y = 2
-2x + y = 8
Solve the system of equations.
A)
(-2,4)
B)
(4,-2)
C)
(-4,-2)
D)
(5/4), (-1/2)
Sujat has 3 jump-ropes. The red jump-rope is 75 inches long. The blue jump-rope is 5 feet long. And the yellow jump-rope is 2 yards long. Decide which rope is longest, which is shortest, and which is in the middle.
bicyclist Mario Cipollini pedaled one stage of the 1999 tour de France in about 3.9 hours If he traveled about 195 kilometers what was his average speed in kilometers per hour
Which pair of angles are vertical angles?
Answer:
Option C is correct that is ∠ERT and ∠MRC are vertically opposite.
Step-by-step explanation:
Vertical angles are the angles that are exactly opposite to each other in crossed lines.
Here, ∠ERT and ∠MRC are the two angles that are vertically opposite.
Therefore, Option C is correct.
Rest all three option A,B and D are discarded.
use the quadratic formula to solve 5x^2+2x-3
Jackie is setting up chairs in the gymnasium for a magic show. She needs to have seats for 78 students and 3 teachers. She has to have 12 chairs in a row. How many rows will there be? How many seats will be empty?
a.
6 rows and 9 people will stand
b.
10 rows and no seats will be empty
c.
7 rows and 3 seats will be empty
d.
7 rows and 13 seats will be empty
what is 12 divided 155 WITHOUT DECIMALS
BTW the problem involves long division
Answer:
12 R11 or 12 11/12
Step-by-step explanation: