Jeffrey is buying mulch for a circular flower garden with a diameter of 12 feet. The layer of mulch needs to be 4 inches thick. What is the volume of mulch needed for the flower garden?
Answers
we can do it in square feet or inches
V=hpir^2
for feet
4in=1/3ft
V=hpir^2
d/2=r
12/2=6=r
V=(1/3)(pi)(6^2(
aprox pi=3.141592
V=37.6991 ft^3
if in inches
12ft=144 inches
144/2=72 inches
V=(4)(3.141592)(72^2)
V=65144.1 in^3
37.6991 ft^3 or 65144.1 in^3
Answer: 37.7 ft^3
Just doing math on a sheet of paper helps!
Related Questions
The sum of two numbers is 36. The larger number is 8 more than the smaller number. Find the two numbers (please show work)
X = -1Y = 35x^-6y^-2/y
If m + 4n = 2n + 8m ; what is the ratio of n to m ?a) 1:4, b) 1:-4, c) -4:1, d) 2:7, e) 7:2
Which is a complete list of factors of each term in the expression 15 + 20x?
Answers
Answer:
-x - 6; where x does not equal 6
Step-by-step explanation:
Enter the least whole number of hours the student needs to work in order to earn at least $200
Answers
Answer: 7.50 h ≥200
She needs to work 27 hours to earn at least $200.
Step-by-step explanation:
Hi, to write the inequality we have to analyze the information given:
- Earnings per hour : $7.50
- Hours : h
- She wants to earn at least $200.
So, she earns $7.50 per hour, the expression that represents the statement is $7.50h.
She wants to earn at least $200, "at least" means more or equal (≥200).
Mathematically speaking:
- $7.50 h ≥200
This is the inequality that represents all of the possible numbers of hours (h) the student could work to meet her goal.
For the second part we simply solve the inequation:
7.50 h ≥200
h ≥200/7.50
h ≥ 26.67
Rounded to the nearest whole number:
h ≥ 27
She needs to work 27 hours to earn at least $200.
7.5h≤200
thus
h≤80/3
writing in whole numbers we shall have:
h≤27
Answers
=7/6
=1 1/6
Least common denominator:
2 × 1 =2 3 × 1 = 3
2 × 2 =4 3 × 2 = 6
2 × 3 =6
6 is the least common denominator
(multiplying to have the same denominator)
As a mixed number:
Answers
The x-coordinate of the x-intercept in quadrant || for the given function is -1.
x = -1.
What are coordinates?
Coordinates are a set of values that helps to show the exact position of a point in the coordinate plane.
We have,
x-intercept in quadrant ||.
f(x) = x³ - x² - x + 1
x-intercept means y = 0 so,
f(x) = y
0 = x³ - x² - x + 1
We see that,
when x = -1 we get,
f(x) = -1 - 1 + 1 + 1 = 0
When x = 1 we get,
f(x) = 1 - 1 - 1 + 1 = 0
But we can not take x = 1 because in quadrant || x is a negative value.
Thus,
The x-coordinate of the x-intercept in quadrant || for the given function is -1.
Learn more about coordinates here:
#SPJ2
ANSWER
The x-coordinate of the x-intercept of the function is
.
EXPLANATION:
The x-intercept refers to the point where the function meets or cuts the x-axis.
At the x-intercept, .
This means we have to equate the whole function to zero and solve for .
According to the rational roots theorem, the possible rational roots of the equation are
.
We now plug in these possible rational roots to see which of them are real roots.
Since ,
is a root.
By the factor theorem, is a factor of the function.
We now divide the polynomial function, by
to find the remaining roots.
See long division in diagram.
This means that .
Or
Hence the roots are or
In the second quadrant the x-coordinate is negative
Therefore, the x-coordinate of the x-intercept of the function is
.
See graph in attachment
Answers
Answer:
neither A nor B will occur simultaneously, as they are mutually exclusive.
Step-by-step explanation:
To compute the probability that either event A occurs, or B occurs, or both occur, you can use the principle of the union of events. The probability of the union of two events A and B (denoted as A ∪ B) can be calculated as:
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−
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P(A∪B)=P(A)+P(B)−P(A∩B)
In this case, you're given:
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(
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∁
)
=
0.40
P(A
∁
)=0.40, which means the probability of the complement of A (i.e., the probability that A does not occur).
�
(
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∣
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)
=
0.80
P(B∣A)=0.80, which is the conditional probability of B occurring given that A has occurred.
Let's break it down:
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(
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∁
)
P(A
∁
) is the probability that event A does not occur, which is
1
−
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(
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1−P(A).
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(
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∣
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P(B∣A) is the conditional probability that event B occurs given that A has occurred.
So, you can calculate
�
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P(A) and
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P(B) as follows:
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(
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=
1
−
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(
�
∁
)
=
1
−
0.40
=
0.60
P(A)=1−P(A
∁
)=1−0.40=0.60
Now, you can use the formula for the union of events to calculate
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(
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∪
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)
P(A∪B):
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∪
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=
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+
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−
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(
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P(A∪B)=P(A)+P(B)−P(A∩B)
But before we calculate
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P(A∩B), note that events A and B are independent, so
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=
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⋅
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P(A∩B)=P(A)⋅P(B∣A).
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=
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(
�
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⋅
�
(
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∣
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=
0.60
⋅
0.80
=
0.48
P(A∩B)=P(A)⋅P(B∣A)=0.60⋅0.80=0.48
Now, plug this value into the formula:
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∪
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)
=
0.60
+
�
(
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−
0.48
P(A∪B)=0.60+P(B)−0.48
Solve for
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P(B):
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=
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∪
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+
0.48
−
0.60
P(B)=P(A∪B)+0.48−0.60
�
(
�
)
=
�
(
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∪
�
)
−
0.12
P(B)=P(A∪B)−0.12
Now, you have the equation:
�
(
�
∪
�
)
=
0.60
+
�
(
�
∪
�
)
−
0.12
−
0.48
P(A∪B)=0.60+P(A∪B)−0.12−0.48
Simplify:
�
(
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∪
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)
=
0.60
−
0.12
−
0.48
P(A∪B)=0.60−0.12−0.48
�
(
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∪
�
)
=
0.00
P(A∪B)=0.00
So, the probability that either event A occurs, or B occurs, or both occur is 0.00. This means that neither A nor B will occur simultaneously, as they are mutually exclusive.
4, 7, 12, 19, 28
Please show working out
Answers
1st difference +3 +5 +7 +9
2nd difference +2 +2 +2
This is a geometric sequence
The form is:
an² + bn + c
2a is always = to the second difference
2a = 2
a = 1
3a + b = 2nd term - 1st term
3(1) + b = 3
3 + b = 3
b = 0
a + b + c = 1st term
1 + 0 + c = 4
1 +c = 4
c = 3
nth term of sequence {substitute all we have found}
1n² + 0 + 3
n² + 3