rose want to seed her circular garden with Kentucky Bluegrass grass seed, but she first needs to know how much area needs to be covered with seed. The garden is in a circular shape with a diameter of 9ft
Answers
Input data
The garden is in a circular shape with a diameter of 9ft
Procedure
The area of a circle is pi times the radius squared (A = π r²)
\(A=\pi\cdot r^2\)We have information of the diameter of the circle we can calculate the radius.
d = diameter
r = radius
r = d/2
r = 9/2
r = 3 ft
\(\begin{gathered} A=\pi\cdot(3)^2 \\ A=\pi\cdot9 \\ A=3.14\cdot9 \\ A=28.26 \end{gathered}\)The area would be equal to 28.26 ft^2
Related Questions
There is a box with an area of 112 sq inches and a height of 3.5 inches. What is the width of the box?
Answers
Answer:
32 inches
Step-by-step explanation:
Because height times width equals area,
we can divide 112 by 3.5 to get the width
So it is 32 inches
The expression above can also be written in the form
So what is A =
Answers
Answer:
what is the expressio
Step-by-step explanation:
Select all the rates that are unit rates.
113
231
23
31
19
Answers
Answer:
\(\frac{2/3}{1}\) and \(\frac{3}{1}\)
Step-by-step explanation:
Options
\(\frac{1}{1/3}\) \(\frac{2/3}{1}\) \(\frac{2}{3}\) \(\frac{3}{1}\) \(\frac{1}{9}\)
Required
Select the unit rates
Unit rate involve two items where the first item being measured can be any positive number, but the second item must be measured in units (i.e. 1)
For clarity:
If \(\frac{a}{b}\) represents unit rate, then \(b = 1\)
Having said that:
Only \(\frac{2/3}{1}\) and \(\frac{3}{1}\) satisfy the condition of unit rates; others are not because they have a denominator other than 1
Find value of x
Find value of y
Answers
Answer:
Step-by-step explanation:
use SOH CAH TOA
Sin = Opp / Hyp
Cos = Adj / Hyp
Tan = Opp / Adj
then we know the adjacent side and the angle, and want to find the Hyp, so use CAH
Cos(60) = ( 8\(\sqrt{3}\) / 3 ) / Hyp ( cos(60) = 1/2 )
Hyp = (8\(\sqrt{3}\) / 3) / (1/2)
Hyp = 2 ((8\(\sqrt{3}\) / 3)
Hyp = 16\(\sqrt{3}\) / 3
x = 16\(\sqrt{3}\) / 3
Now use SOH
Sin (60) = Opp / 16\(\sqrt{3}\) / 3 ( sin(60) = \(\sqrt{3}\)/2 )
(16\(\sqrt{3}\) / 3)(\(\sqrt{3}\)/2) = Opp
16 * 3 / 6 = Opp
8 = Opp
y = 8
:)
By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
Answers
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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Assume 2 in every 3000 students at the local community college have to quit due to serious health issues. An insurance company offers them $12000 policy for $40a year. What is the amount the insurance company should expect to make on average on every student that pays?
The amount the insurance company should expect to make on average on every student that pays is $
Answers
Answer:
$32
Step-by-step explanation:
Multiply $40*3000 students. Subtract 2 students that might receive a $12000 policy each. Divide by 3000 students to find average payout.
What is 4 divided by 6 plus 1 divided by 8?
Answers
Answer:
Step-by-step explanation:
0.2
Suppose an annuity pays 4% annual interest, compounded annually. If you invest $4,500 in this annuity annually for 10 years, what percentage of the total balance is interest earned? Round your answer to the nearest hundredth of a percent. Do NOT round until you have calculated the final answer.
Answers
\(~~~~~~~~~~~~\stackrel{\textit{payments at the beginning of the period}}{\textit{Future Value of an annuity due}} \\\\ A=pmt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]\left(1+\frac{r}{n}\right)\)
\(\qquad \begin{cases} A=\textit{accumulated amount} \\ pmt=\textit{periodic payments}\dotfill & 4500\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &10 \end{cases}\)
\(A=4500\left[ \cfrac{\left( 1+\frac{0.04}{1} \right)^{1 \cdot 10}-1}{\frac{0.04}{1}} \right]\left(1+\frac{0.04}{1}\right) \\\\\\ A=4500\left[ \cfrac{(1.04)^{10}-1}{0.04} \right](1.04) \implies A \approx 56188.58\)
so every year you were putting in 4500 bucks, so for 10 years that'd be a total deposits for 4500*10 = 45000, so let's squeeze out the 45000 from the the total, that gives us 56188.58 - 45000 ≈ 11188.58.
so, if we take 56188.58 to be the 100%, what's 11188.58 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 56188.58 & 100\\ 11188.58& x \end{array} \implies \cfrac{56188.58}{11188.58}~~=~~\cfrac{100}{x} \implies 56188.58x=1118858 \\\\\\ x=\cfrac{1118858}{56188.58}\implies x\approx \stackrel{\%}{19.91}\)
4.8 + 2.2w − 1.4w + 2.4 ?
Answers
Answer:
7.2+0.8W
Step-by-step explanation:
Answer:
0.8w + 7.2
Step-by-step explanation:
Separate the numbers with and without variables.
4.8 + 2.4 = 7.2
2.2w - 1.4w = 0.8w
( Remember when u put ur answer together the number with variables should be in front of the number without variables! or whatever i dont remember lol i only remember how to solve. )
The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path.
Answers
Answer:2/3-4
Step-by-step explanation:
Hi,
The correct answer is √ra = v or v = √ra.
The original equation is a = v^2/r.
Then we multiply r to get ra = v^2
After that we √ra = √v^2
Our final answer is then √ra = v
XD
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes. Find the unit rate for each brand. Round to the nearest cent (hundredth).
Brand A costs
per ounce.
Brand B costs
per ounce.
Answers
Answer:
Brand A Costs 37.38 per ounce and Brand B cost 31.19 per ounce hope this helped ^-^
Brainliest to whoever answers first with working
Answers
Answer:
10000
Step-by-step explanation:
0000 to 9999 so 10000 numbers
For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answers
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
NO LINKS!!
The length of a rectangle is 5 less than twice the width. What values of the width will make the area less than 150 square feet? Define your variable(s). Write inequalities that could be used to solve this problem. Then solve the problem.
Answers
Answer: Anything between 0 and 10, excluding both endpoints.
In terms of symbols we can say 0 < w < 10 where w is the width.
===================================================
Explanation:
You could do this with two variables, but I think it's easier to instead use one variable only. This is because the length is dependent on what you pick for the width.
w = width
2w = twice the width
2w-5 = five less than twice the width = length
So,
width = wlength = 2w-5which lead to
area = length*width
area = (2w-5)*w
area = 2w^2-5w
area < 150
2w^2 - 5w < 150
2w^2 - 5w - 150 < 0
To solve this inequality, we will solve the equation 2w^2-5w-150 = 0
Use the quadratic formula. Plug in a = 2, b = -5, c = -150
\(w = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\w = \frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-150)}}{2(2)}\\\\w = \frac{5\pm\sqrt{1225}}{4}\\\\w = \frac{5\pm35}{4}\\\\w = \frac{5+35}{4} \ \text{ or } \ w = \frac{5-35}{4}\\\\w = \frac{40}{4} \ \text{ or } \ w = \frac{-30}{4}\\\\w = 10 \ \text{ or } \ w = -7.5\\\\\)
Ignore the negative solution as it makes no sense to have a negative width.
The only practical root is w = 10.
If w = 10 feet, then the area = 2w^2-5w results in 150 square feet.
----------------------
Based on that root, we need to try a sample value that is to the left of it.
Let's say we try w = 5.
2w^2 - 5w < 150
2*5^2 - 5*5 < 150
25 < 150 ... which is true
This shows that if 0 < w < 10, then 2w^2-5w < 150 is true.
Now try something to the right of 10. I'll pick w = 15
2w^2 - 5w < 150
2*15^2 - 5*15 < 150
375 < 150 ... which is false
It means w > 10 leads to 2w^2-5w < 150 being false.
Therefore w > 10 isn't allowed if we want 2w^2-5w < 150 to be true.
Matt has two very active dogs named Theia and Odin who need to eat extra snacks to increase
their caloric intake. He uses math to figure out how much more to feed them. He tracks their
activity level to determine the increase.
The table below shows the number of treats per dog per week.
What is the average rate of change for the number of treats that Odin gets each week between
Week 1 and Week 5?
Week 2
Week 3
Week 5
Odin
Theia
Week 1
7
5
3
2.
00 00
Week 4
9
7
4
5
Week 6
5
6
Answers
Answer:
Step-by-step explanation:
That is cheating no help for you sorry
find AB using segment addition prostulate 2x-3 24 5x+6
Answers
Answer:
To find the length of AB using the segment addition postulate , we need to add the lengths of segments AC and CB.
AC + CB = AB
Substituting the given lengths:
2x-3 + 24 = 5x+6
Simplifying and solving for x:
21 = 3x
x = 7
Now that we know x, we can substitute it back into the expression for AB:
AB = 2x-3 + 24 = 2(7)-3 + 24 = 14-3+24 = 35
Therefore, the length of AB is 35.
Step-by-step explanation:
The value of a tractor decreases over time and is given by
V(t) = 75,000 − 7,500t,
where
V(t)
is the value in dollars of the tractor after t years. Find the value (in dollars) of the tractor after 4 years.
Answers
V(4) = 75,000 - 30,000
V(4) = $45,000
lying Addition and Subtraction of Integers
A bus makes a stop at 2:30, letting off 15 people and letting on 9. The
bus makes another stop ten minutes later to let off 4 more people.
How many more or fewer people are on the bus after the second stop
compared to the number of people on the bus before the 2:30 stop?
Answers
After the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.
Before the 2:30 stop, the bus let off 15 people and let on 9 people. The total change in the number of people at that stop is -15 (let off) + 9 (let on) = -6.
Therefore, there are 6 fewer people on the bus after the 2:30 stop compared to before that stop.
Ten minutes later, the bus makes another stop and lets off 4 more people. This additional change needs to be considered.
Since the previous calculation only accounted for the changes up until the 2:30 stop, we need to adjust the total change by including the subsequent stop.
Adding the change of -4 (let off) to the previous total change of -6, we get a new total change of -10.
Therefore, after the second stop, there are 10 fewer people on the bus compared to the number of people on the bus before the 2:30 stop.
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If the least value of n is 4, which inequality best shows all the possible values of n?
n ≤ 4
n ≥ 4
n < 4
n > 4
Answers
If the least value of n is 4, then the inequality best shows all the possible values of n is, n ≥ 4. So Option B is correct
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given that,
The least value of n is 4,
Inequality representation = ?
It is known that,
Least value of n is 4
So, Minimum possible value of n is 4
Maximum value of n should be more than 4,
In order to satisfy the condition,
So,
n > 4
By combining both the things,
It can be written as,
n ≥ 4
Hence, the best inequality representation is n ≥ 4
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The sportswear department had net sales of $550,000 last year, with markdowns of $33,000. This year plan sales are
$575,000. If the buyer is planning the same percent of markdowns this year as last year, what is the plan markdown dollars
for this year?
Answers
Answer:
$34,500
Step-by-step explanation:
1% of 550,000 = 5,500
33,000÷ 5,500 = 6%
1% of 575,000 = 5,750
5,750 x 6 = 34,500
Skye says that x^3 – a^3 = (x – a)(x^2 + ax + a^2) is a polynomial identity because when she substitutes 2 in for x and 3 in for a she gets –19 on both sides of the equation.
Part A: Do you agree with Skye’s statement? Show your argument.
Part B: How else could you prove if x^3 – a^3 = (x – a)(x^2 + ax + a^2) is a polynomial identity?
Answers
Answer: x^3 - a^3 = (x - a) (x^2 + ax + a^2) is an identity
Step-by-step explanation:
Verify the identity using trig rules.
The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.
Circles C, D, and F overlap. Circle C contains 15, circle D contains 21, and circle F contains 12. The overlap of C and F contains 2, the overlap of F and D contains 0, and the overlap of D and C contains 3. The overlap of all 3 circles contains 1. Number 14 is outside of the circles.
How many people are in the set C ∩ D?
4
6
36
38
Answers
The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.
The correct answer is 4.
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.
Given information:
- Circle C (cats): 15
- Circle D (dogs): 21
- Circle F (fish): 12
- Overlap of C and F: 2
- Overlap of F and D: 0
- Overlap of D and C: 3
- Overlap of all 3 circles: 1
- Number outside of circles: 14
To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.
From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.
To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.
Therefore, from the options given correct one is 4.
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Answer: 4
Step-by-step explanation:
trust me bro
PLEASE HELP, I WILL MARK BRAINLIEST(no links)
Answers
Answer:
d
Step-by-step explanation:
Find m
∠
J
L
K
∠JLK.
Answers
Answer:
m∠JLK° = 62°
Step-by-step explanation:
∠JLK = ∠KJL
SO
56°+2(∠JLK)° = 180°
2(∠JLK)° = 180-56
2(∠JLK)° = 124
∠JLK° = 62°
so m∠JLK° = 62°
Answer:
m∠JLK = 62°
Step-by-step explanation:
180 - 56 = 124
124 ÷ 2 = 62
What is (x³-8x² + 6x +41) ÷ (x-4)
Answers
Step 1: Write the dividend and divisor:
\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)
Step 2: Divide the first term of the dividend by the first term of the divisor:
\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)
Step 3: Multiply the divisor (x - 4) by the result (x^2):
\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)
Step 4: Subtract the result from the original dividend:
\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)
Step 5: Bring down the next term from the dividend:
\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)
Step 6: Repeat steps 2-5 with the new dividend:
\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)
\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)
\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)
Step 7: Bring down the next term from the dividend:
\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)
Step 8: Repeat steps 2-5 with the new dividend:
\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)
\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)
\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)
Step 9: There are no more terms to bring down, so the division is complete.
Step 10: Write the final result:
The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.
Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:
\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)
Find the value for the function.Find f(4) when f(x) = x2 + 5x + 3.
Answers
SOLUTION
We are told to find f(4) when
\(f(x)=x^2+5x+3\)This becomes
\(\begin{gathered} f(4)=4^2+5(4)+3 \\ f(4)=16+20+3 \\ f(4)=39 \end{gathered}\)Therefore, the answer is 39
a number increased by 4 is atleast -23
Answers
Answer:
x +
\(x + 4 \geqslant - 23 \\ x \geqslant - 23 - 4 \\ x \geqslant - 27 \: this \: is \: the \: solution\)
Kayla was asked to rewrite the polynomial expression x2 + 6x + 9 how could she rewrite the polynomial
Answers
When Kayla was instructed to rewrite the polynomial expression x2 + 6x + 9, she wrote \(x^2+2 x-3+3^2=(x+3)^2\).
What is a polynomial ?Factor \($ x^2+6 x+9: \quad(x+3)^2$\)
\($$x^2+6 x+9$$\)
Rephrase in the manner of \($a^2+2 a b+b^2$\) :
\($9=3^2$\)
\($6 x=2 x \cdot 3$\\$=x^2+2 x \cdot 3+3^2$\)
Using the Perfect Square Formula : \($\quad a^2+2 a b+b^2=(a+b)^2$\)
\($$\begin{aligned}& x^2+2 x-3+3^2=(x+3)^2 \\& =(x+3)^2\end{aligned}$$\)
An expression that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables is said to be a polynomial. Variables, which are sometimes known as indeterminates, and coefficients make up a polynomial. x2 4x + 7 is an illustration of a polynomial of one uncertain x.
An expression with a single or a number of terms is referred to as a polynomial. The words "polynomial" and "nomial," which are two distinct phrases, are the origins of the term. Nominal is another word for many, while poly is another word for many. An algebraic expression with two or more algebraic terms is referred to as a polynomial.
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PLS HELP ASAPPPPPPP
I NEED HELP
Answers
The tables which shows a proportional relationship between x and y are table 3 and table 4.
Which table shows a proportional relationship between x and y?Using ratio to find the proportional relationship
Table 1
x : y = 8 : 8
= 1 : 1
x : y = 12 : 10
= 6 : 5
Not proportional
Table 2:
x : y = 2 : 3
x : y = 3 : 8
Not proportional
Table 3:
x : y = 5 : 3
x : y = 10 : 6
= 5 : 3
Proportional
Table 4:
x : y = 4 : 1
x : y = 16 : 4
= 4 : 1
Proportional
Ultimately, table 3 and table 4 shoes a proportional relationship between x and y.
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Pls help I need this answer now As part of a class project, a university student surveyed the students in the cafeteria lunch line to look for a relationship between eye color and hair color among students. The table below contains the results of the survey.
Answers
Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63. Option D
To find the relative frequency of students with red hair among the sample population of students with gray eyes, we need to divide the number of students with gray eyes and red hair by the total number of students with gray eyes.
From the given table, we can see that there are 22 students with gray eyes and red hair.
The total number of students with gray eyes is the marginal total for gray eyes, which is 35.
To find the relative frequency, we divide the number of students with gray eyes and red hair by the total number of students with gray eyes:
Relative frequency = Number of students with gray eyes and red hair / Total number of students with gray eyes
Relative frequency = 22 / 35
Simplifying the fraction, we have:
Relative frequency = 0.6286
Rounding the answer to two decimal places, the relative frequency of students with red hair among the sample population of students with gray eyes is approximately 0.63.
Therefore, the correct answer is option OD) 0.63.
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