He will require 2.79 cubic feet of potting soil to fill the planter, which is a rough estimate.
What is the Volume of the Cylinder?The product of a cylinder's base area and height provides the formula for calculating the cylinder's volume. A cylinder's volume is equal to πr²h cubic units.
Given, A gardener has a cylindrical planter that has a diameter of 16 inches and is 2 feet deep.
From the general formula of volume of cylinder = πr²h cubic units
in our case
r = 16 / 2 = 8 inches
Since 1 feet = 12 inches
r = = 8/12 feet = 2/3 feet
h = 2 feet
The volume of platter = π * 2/3 * 2/3 *2
The volume of the platter = 2.79 ft³
Therefore, the approximate number of cubic feet of potting soil that he will need to fill the planter is 2.79 ft³.
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A pair of dice is rolled.
Find the probability of showing divisors of 12 on both dice.
Answer:
25/36
Step-by-step explanation:
The dicisors of 12 on a die are 1,2,3,4,6
So 5/6 per die
5/6*5/6 = 25/36
Using a = 20, b = 15
and c = 25, is triangle
ABC a right triangle?
Yes
No
Answer:
Yes
Step-by-step explanation:
400+225=625
625=25^2
Which of these expressions is equivalent to log9 10? A) log 9 B) log 19 C) 1 log 9 D) 1 log 19
What is the equation of the exponential function graphed below?
Answer:4
Step-by-step explanation:
Answer:D
Step-by-step explanation:
Y=e^x
Solve for x:
7 : x = 21 : 24
Answer:
8
Step-by-step explanation:
Multiply the right side by 3
3x = 24
x = 8
Answer:
x=8
Step-by-step explanation:
24 × 7 = 21 × X
168 = 21× X
168/21 = X
8 = X
13. Find the measure of ZABC. Show your work.
Answer:
47°
Step-by-step explanation:
In the picture attached, the problem is shown.
When two secants intersect at a point, the angle made is one-half of the difference between the greater arc and the minor arc formed. In this case:
∠ABC = 1/2*(arc DE - arc AC)
Replacing with data from the picture:
∠ABC = 1/2*(142° - 48°)
∠ABC = 47°
-6p (p4- 8) what’s the answer ?
Answer:
-6p^5+48p
Step-by-step explanation:
-6p (p^4- 8)= -6p^5+48p
Solution,
-6p(p^4-8)
= -6p^5+48p
Hope it helps
good luck on your assignment
7. The largest of the Great Pyramids in Egypt was built with a square base,
having edges that measured 754 feet and a height of 481 feet. Today, after
years of erosion, the base edges are 745 feet and its height is 471 feet. To the
nearest cubic foot, find the difference between the original and current
volumes of the pyramids.
Please show work
Answer:
Difference between the original and current volumes = 4013140.30 cubic feet
Step-by-step explanation:
Largest pyramid has the square base with one edge = 754 feet
Area of the square base = (Side)²
= (754)²
= 568516 square feet
Volume of the pyramid = [tex]\frac{1}{3}(\text{Area of the base})(\text{Height})[/tex]
= [tex]\frac{1}{3}\times 568516\times 481[/tex]
= 91152065.3 cubic feet
After erosion,
Area of the base = (745)² = 555025 square feet
Volume of the pyramid = [tex]\frac{1}{3}(555025)(471)[/tex]
= 87138925 cubic feet
Difference between the original and current volumes of the pyramid
= 91152065.30 - 87138925
= 4013140.30 cubic feet
A bag has 4 balls: 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B).
You randomly choose a ball. What is the sample space?
A. {R, G, Y, B}
B. {R, B, Y, O)
C. {R}
D. {G}
Answer:
The correct answer is A. {R,G,Y,B}.
Step-by-step explanation:
The sample space for the given information is A. {R, G, Y, B}.
What is a sample space?A sample space can be defined as a set of all possible outcomes of a random experiment.
The sample space is represented by the symbol, ‘S’. Sample space can also be expressed using the set notation, {}.
Given that, a bag has 4 balls: 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B), we need to find the sample space for this data,
So,
Since, the sample space is the all the data in the set,
Therefore, the whole set is = 1 red (R), 1 green (G), 1 yellow (Y), and 1 blue (B).
Therefore,
S = {R, G, Y, B}
Hence, the sample space for the given information is A. {R, G, Y, B}.
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Which expression is equivalent to −1 3/8?
A. -1 -3/8
B -1 +3/8
C. 1+3/8
D. 1-3/8
Answer:
It's A.
Step-by-step explanation:
-1 3/8 means 1 and 3/8 less than zero so its 0 - 1 then - another 3/8.
Answer:
a
Step-by-step explanation:
this is because a is equal to -1 +-3/8 which is -1 3/8
Gina makes fruit bags. Each bag has 2 apples and 3 oranges.
What is the ratio of the number of apples in each bag to the total number of fruit in each bag? Move numbers to the lines to complete the
sentence.
Answer:
2:5
Step-by-step explanation:
37.68 yards that is the circumference I want to know what the radius is
The equation for the circumference is 2 pi r. You have the circumference given.
Now, divide that by pi to get 2 r.
This is approximately 11.63.
Now, divide that by 2 to get the radius.
Radius = 5.14 yards.
Teresa borrowed $9000 from a bank for 2 years and was charged simple interest. The total interest that she paid on the loans was $1620. As a percentage, what was the annual interest rate of her loan?
Thanks.
Answer: 9%
Step-by-step explanation:
SI = prt/100
1620 = (9000 x r x 2) / 100
On a map of Braxton County, the library is located at (–3, –7). The hospital is located 5 units west of the library. What ordered pair represents the location of the hospital?
Answer:
(-8,-7)
Step-by-step explanation:
assuming that the top part of the y-axis is north and the bottom part is south
we know west is to the left and that means -5 so -3-5=-8 meaning our coordinate is (-8,-7)
Which of the following describes the transition of the graph of y = x^2 yo obtain the graph of y = -x^2 +3?
Answer:
The graph is reflected over the x axis and shifted up three units
Find the measure of an exterior angle of a regular polygon with 36 sides
Answer: The sum of the measures of the exterior angles in a convex polygon is 360 degrees (this can be proven using the sum of the interior angles). Since each exterior angle measures 36 degrees, there are 10 sides to the polygon.
Step-by-step explanation:
Find the value of "k", given that one solution of the equation 2x² kx + 12 = 0 is
is -3/2
Answer:
Is there a picture to it.
that will me helpful for me
Step-by-step explanation:
Willing to help
X-y=5;-x+y=5
Can someone help me plz
Answer:
Step-by-step explanation:
x-y=5
-x+y=5
or x-y=-5
so it is a system of two parallel lines.
so no solution.
or they do not intersect atmany point.
write this trinomial in factored form 4b^2 + 17b + 15
Answer:
(b + 3)(4b + 5)
Step-by-step explanation:
Given
4b² + 17b + 15
Consider the factors of the product of the b² term and the constant term which sum to give the coefficient of the b- term.
product = 4 × 15 = 60 and sum = 17
The factors are 12 and 5
Use these factors to split the b- term
4b² + 12b + 5b + 15 ( factor the first/second and third/fourth terms )
= 4b(b + 3) + 5(b + 3) ← factor out (b + 3) from each term
= (b + 3)(4b + 5) ← in factored form
An airplane is flying at 350 km/h in a direction of 349 degrees. Find the westerly and northerly components of its velocity.
The westerly and northerly components of the velocity of a flying airplane are 343.5 km/h and 66.7 km/h respectively.
Given in the question,
The airplane is flying at 350km/h in a direction of 349 degrees.
so, the airplane is flying 360-349=11degrees from the east as shown in the image.
The northerly component is 350*sin11degrees and the westerly component is 350*cos11degrees.
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In quadrilateral PQRS below, sides PS and QR are parallel for what value of x ? Individual Question 158 132 120 110 70
Answer:
[tex]x=112[/tex]
Step-by-step explanation:
The opposite angles of a parallelogram are equal.
There are 5 red tiles and 5 blue tiles with the letter A in a bag. There are also 6 red tiles and 4 blue tiles with the letter B in the bag. What is the
probability that a randomly selected tile is blue or has the letter B?
Peter buys a house that costs $100,000. If the
house loses 5% of its value each year, to the
nearest dollar, what will be the value of the
house after 6 years?
(A) $63,025
(B) $66,342
(C) $69,834
(D) $73,509
(E) $77,378
Answer:
None of these, it's $70,000.
Step-by-step explanation:
5% of $100,000 is $5,000
$5,000 · 6 (# of years) = $30,000
$100,000 - $30,000 = $70,000
A. Statement 1 and 2
B. Statement 1,2,3 and 4
C. Statement 1 and 4
D. Statement 1,3 and 4
Which is the simplified rational expression
Please answer correctly my grade depends on it
Answer:
The answer is B.
Step-by-step explanation:
Since they all have a common denominator, you can group the numerators together. Therefore, we have...
[tex]\frac{(9x-5)+(3x-8)-(5x+3)}{4x-1}[/tex]
Now, we simply need to simplify.
[tex]=\frac{9x-5+3x-8-5x-3}{4x-1} =\frac{7x-16}{4x-1}[/tex]
This cannot be simplified further.
For f(x)-3x+1 and g (x)-x^2-6 find (f•g)(x)
Answer & Step-by-step explanation:
For this problem, all we have to do is multiply the two expressions.
f(x) = 3x + 1
g(x) = x² - 6
Now, let's set up our equation for multiplication.
(f * g)(x) = (3x + 1)(x² - 6)
(f * g)(x) = 3x³ - 18x + x² - 6
(f * g)(x) = 3x³ + x² - 18x - 6
So, (f * g)(x) is 3x^3 + x^2 - 18x - 6
the correct Answer is
3x^3+x^2-18x-6
megan is performing a science experiment on a particular type of bacteria.she starts with 10 cells and she finds that the number of bacteria can be modeled by the following equation where y is the number of bacteria and t is the number of hours since the experiment started
Answer:
You can change the number of bacteria which is y, by the number of hours. So the equation would be like = t is 10y. ( In this case, y is 1 cell )
Step-by-step explanation:
I hoped this helped!
The length of one leg of a right triangle is 16 ft, and the length of the hypotenuse is
34 ft. What is the length of the other leg?
The length of other leg is 30 ft
Look at the attached picture
Hope it helps...
Good luck on your assignment
Answer:
[tex] = 30ft[/tex]
Step-by-step explanation:
[tex]h = 34ft \\ p = 16ft[/tex]
[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {34}^{2} = {16}^{2} + {b}^{2} \\ 1156 = 256 + {b}^{2} \\ 1156 - 256 = {b}^{2} \\ 900 = {b}^{2} \\ \sqrt{900} = b \\ 30ft = b[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Why does 3-(x+1)=3-x-1? Use the distributive property.
[tex]3-(x+1)=3-x-1[/tex]
[tex](+3)-(x+1)[/tex]
[tex](+3)-1(x+1)[/tex]
Distribute the -1 to (x+1)
[tex](+3)-1x-1[/tex]
[tex]3-x-1[/tex]
[tex]-x+2[/tex]
3-1(x+1) = 3-x-1
Step 1. distribute the negative sign
2(-x-1) = 3-x-1
Step 2. distribute the 3
-2x-3= 3-x-1
add 3 on both sides
-2x = 6 - x - 1
add x to both sides
-1x = 6 - 1
-1x=5
x=5
SO..... u have to plug 5 in
You have found the following ages (in years) of all 4 zebras at your local zoo: 14, 15, 9, 1 What is the average age of the zebras at your zoo? What is the variance?
Answer:
9.8. is the Average Age
30.7 is the Variance
Step-by-step explanation:
9.8 is the Average Age and the 30.7 is the Variance.
What is Variance?The term variance refers to a statistical measurement of the spread between numbers in a data set.
Given that, 4 zebras at a local zoo have ages 14, 15, 9, 1,
We need to find the average age and the variance,
we know that,
Average = Sum of all the values of the set given / Number of values in the set
And,
Variance = sum of all the values of (x - means) ² / (n)
So,
Average age = 14 + 15 + 9 + 1 / 4 = 39/4 = 9.75
Variance =
(14-9.75) ² = 18.06
(15-9.75) ² = 27.56
(9-9.75) ² = 0.5625
(1-9.75) ² = 76.56
= 18.06 + 27.56 + 0.5625 + 76.56 / 4
= 30.68 ≈ 30.7
Hence, 9.8 is the Average Age and the 30.7 is the Variance.
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