Answer:
279 ft²
Step-by-step explanation:
A=bh
A=16x16
A=256
Subtract the area of island
A=bh
A=3x7
A=21
256-21=235
Then you have to find the area of the trapezoid at the top, which is a reactangle and then two smaller triangles
A=bh
A=10x4
A=40
A=1/2bh
A=4x1x1/2
A=2
Multiply it by two because there are 2 of them
2x2=4
40+4=44
The area of the main part is 235 and the area of the side section is 44.
Add them together
235+44=279 ft²
LOOK IVE SAID IT A BUNCHA TIMES, ILL MARK BRIANLEST JUST HALP ME
Answer:
my guess would be 3.52
Step-by-step explanation:
Answer:
I do not know the answer i just wanna try because I know how you feel, people take forever to find the unasked questions:(:.
Step-by-step explanation:
I think you have to multiply 4.2 by 2, then do the same to the long sides. Once you have that answer divide or multiply by 84
Sorry if this did not help i am only in 8th grade so I tried, good luck on your assignment.
What is the area of this figure?
Enter your answer in the box.
8 m
m2
p>
5 m
9 m
Answer:
81m²
Step-by-step explanation:
I took the quiz :)
Answer:
81
Step-by-step explanation:
got it right
if p(x) is divided by (x 1) three times and has remainder of 1 at the end, then -1 is a double root.
If the polynomial p(x) is divided by (x-1) three times and has a remainder of 1 at the end, then -1 is a double root of p(x). This means that (x+1) is a factor of p(x) raised to the power of 2.
When a polynomial is divided by (x-1), the remainder represents the value of the polynomial at x=1. Since the remainder is 1, it implies that p(1) = 1. Dividing p(x) by (x-1) three times indicates that the polynomial has been factored by (x-1) three times. Consequently, the polynomial can be written as p(x) = (x-1)^3 * q(x) + 1, where q(x) is the quotient obtained after dividing p(x) by (x-1) three times. Since the remainder is 1, it means that when x=1, p(x) leaves a remainder of 1.
Thus, (1-1)^3 * q(1) + 1 = 1, which simplifies to q(1) = 0. This implies that (x-1) is a factor of q(x), meaning that q(x) can be written as q(x) = (x-1) * r(x), where r(x) is another polynomial.
Substituting this into the earlier expression for p(x), we get p(x) = (x-1)^3 * (x-1) * r(x) + 1. Simplifying further, p(x) = (x-1)^4 * r(x) + 1. Now, we can see that p(x) is divisible by (x+1) since (x+1) is a factor of (x-1)^4, and the remainder is 1. Therefore, -1 is a double root of p(x) because (x+1) appears twice in the factored form of p(x).
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BE SURE TO SHOW CALCULATOR WORK WHEN NEEDED There are several Orange County community college districts. In particular, the North Orange and South Orange districts like to compete with their transfer rates (percent of students who transfer to 4-year schools). An independent company randomly selected 1,000 former students from each district and 672 of the South Orange students successfully transferred and 642 of the North Orange students successfully transferred. Use a 0.05 significance level to test the claim that the South Orange district has better transfer rates than the North Orange district. Again, your answer should start with hypothesis, have some work in the middle, and end with an interpretation. Edit View Insert Format Tools Table 12pt Paragraph BIUA V 2 T² ⠀ Р O words
Based on the given sample data and using a significance level of 0.05, there is sufficient evidence to support the claim that the South Orange district has a better transfer rate than the North Orange district.
The significance level (α) is given as 0.05, which means we are willing to accept a 5% chance of making a Type I error
The sample proportions are calculated as:
p₁ = x₁ / n₁
p₂ = x₂ / n₂
Where:
x₁ = number of successful transfers in the South Orange district = 672
n₁ = total number of former students in the South Orange district = 1000
x₂ = number of successful transfers in the North Orange district = 642
n₂ = total number of former students in the North Orange district = 1000
The test statistic for testing the difference in proportions is the z-score, which is given by the formula:
z = (p₁ - p₂ ) / √[(p(1-p)/n₁) + (p(1-p)/n₂)]
Where:
p = (x₁ + x₂) / (n₁ + n₂)
Substituting the values:
p₁ = 672 / 1000 = 0.672
p₂ = 642 / 1000 = 0.642
p = (672 + 642) / (1000 + 1000) = 0.657
z = (0.672 - 0.642) / √[(0.657(1-0.657)/1000) + (0.657(1-0.657)/1000)]
=19.40
Since the alternative hypothesis is one-sided (p1 > p2), we need to compare the calculated z-score to the critical value of 1.645.
Since 19.40 > 1.645, we reject the null hypothesis.
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Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
Answer:
The amount Lilian needs to invest is $5,160
Step-by-step explanation:
The parameters of the amount Lilian is going to invest in an account are;
The interest rate the account pays = 5.7%
The final amount the investment is expected to reach after the given time period = $7,600
The number of years of the investment = 7 years
The formula for compound interest is presented as follows;
\(A = P \cdot \left(1 + \dfrac{r}{n} \right)^{n\cdot t}\)
Where;
A = The final amount = $7,600
P = The amount Lilian is to invest
r = The interest rate = 5.7% = 0.057
n = The number of times the interest is applied per time period = 1
t = The number of period that passes = 7 (years)
Therefore, we get;
\(7,600 = P \cdot \left(1 + 0.057 \right)^{7}\)
∴ P = 7,600/(1 + 0.057)⁷ = 5,155.7123754
The amount Lilian needs to invest (rounded to the nearest ten dollars) for the value of the account to reach $7,600 in 7 years, P = $5,160
At a local print shop, 12 copies can be made for $3. At this rate, how much would it cost to make 84 copies? Fill out the table of equivalent ratios until you have found the value of x
I'm here to get some points very sorry have a nice day
Find the CIRCUMFERENCE of the circle.
Answer:
C=2πr
Step-by-step explanation:
Its on the wall of my math class
30<5(8-y)
I got y<2 but none of the answers are that.
Answer:
I think you are correct
Step-by-step explanation:
30<40-5y
30-40<-5y
-10<-5y
2>y
y<2
I NEED HELP
Please find one news article related to a current, specific U.S. trade barrier issue. (within the past 4 weeks)
The news article related to a current, specific U.S. trade barrier issue is given below.
What are trade barriers?Trade barriers are government-induced restrictions on international trade.The barriers can take many forms, including the following:
Tariffs,Non-tariff barriers to trade, Import licenses, Export licenses,Import quotas, Subsidies, Voluntary Export Restraints, requirements, Embargo, Currency devaluation, Trade restriction.
Trade barriers such as tariffs raise prices and reduce available quantities of goods and services for U.S. businesses and consumers, that lead to lower income, reduced employment, and lower economic output.
An increase in U.S. trade barries may also result in a decline in international trade in the United States.
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Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?
The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).
option C.
Which ordered pair can be plotted together?The ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is determined as follows;
The four points include;
A = (1, 2)
B = (2, - 3)
C = (-2, - 2)
D = (-3, 1)
The ordered pair that can be plotted together with these four points, must fall withing these coordinates. Going by this condition we can see that the only option that meet this criteria is;
(2, - 1)
Thus, the ordered pair that can be plotted together with these four points, so that the resulting graph still represents a function is (2, -1).
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Noelle believes that 20% of the adults can describe where the humerus bone is located. To investigate this belief, she selects a random sample of 100 adults and finds that 30. 0% can describe where their humerus bone is located. Is there convincing evidence at the = 0. 01 level that more than 20% of all adults can describe where the humerus bone is located? STATE:
Yes, there is convincing evidence at the 0.01 level that more than 20% of all adults can describe where the humerus bone is located.
To determine if there is convincing evidence, we can conduct a hypothesis test. Let's set up the null and alternative hypotheses. The null hypothesis (H0) is that the proportion of adults who can describe where the humerus bone is located is 20%, while the alternative hypothesis (Ha) is that the proportion is greater than 20%. We can use a one-sample proportion test to analyze the data. Given that the sample size is 100 and the observed proportion is 30.0%, we can calculate the test statistic and compare it to the critical value at the 0.01 significance level. Performing the test, if the calculated test statistic falls in the rejection region (beyond the critical value), we reject the null hypothesis. In this case, since the observed proportion is higher than 20% and the test statistic exceeds the critical value, there is convincing evidence to support the alternative hypothesis that more than 20% of all adults can describe where the humerus bone is located.
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Which number can each term of the equation be multiplied by to eliminate the decimals before solving? –m 0.02 2.1m = –1.45 – 4.81m
Answer:
Pretty certain it's 100
1. Which of the following is not a solution to the equation −2x + 3y = 9.
A) (0, 3)
B) (-6, -1)
C) (-3 , 1)
D) (1 , -3)
2. Select all the ordered pairs that are solutions to the equation 5x + 2y = -8
A) (−85,0)
B) (0, -4)
C) (-4, 0)
D) (4, -14)
E) (1, -2)
Answer:
1. Answer is D) (1, -3)
2. Answers are B) (0,4) and D) (4,-14)
Step-by-step explanation:
You can substitute the values of x and y from the options in the equations and hence, you'll get the answers.
Hope it helps you
what is 2 42/100 simplified? Please answer as quick as you can?!
Answer:
2.42
two and fourty-two hundredths
i really need help with this please
Answer:
Angle bisector
Step-by-step explanation:
Because it splits Q, which is an angle into two angles that are equal, which is the definition of an angle bisector.
Answer:
Angle Bisector
Step-by-step explanation:
dorothy bought 4 boxes of chocolates for $12
find the unit price
Answer:
$ 3
Step-by-step explanation:
Hi there !
4 boxes .................. $12
1 box .........................$ x
x = 1×12/4 = 12/4 = $ 3
Good luck !
i neeeed help asapppp
Answer:
triangle= 6*3/2=9
rectangle=8*16=128
128+9=137
Step-by-step explanation:
Answer:
18 square feet
Step-by-step explanation:
a= 1/2 ×b×h
Horatios haunted house
The number of Screamers when Runners are 6 is 4,
and the number of Runners when Screamers are 10 is 15.
what is ratio?It is basically the measurement of two numbers and it compares by how much one quantity is bigger than another.
When two ratios are equal, they are usually said to be in proportion.
As given in the above questions,
Screamers:Runners= 2:3
So, let the number of screamers in first case is x
Then, x:6 = 2:3
x= 4
Hence , the number of screamers is 4.
In second case, let the number of runners is y
Then, 10:y = 2:3
y= 15
Hence , the number of runners is 15.
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A code ue for 1 for A, 2 for B, 3 for C and o on upto 26 for Z. Coded word are written without pace to confue the enemy o 18 could be AH or R. Decode the following meage
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
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The image of the point B(8,-3) under the translation T6,0?
Answer:
(14, - 3 )
Step-by-step explanation:
Under the translation < 6, 0 >
Add 6 to the x- coordinate and 0 to the y- coordinate, that is
B(8, - 3 ) → B'(8 + 6, - 3 + 0 ) → B'(14, - 3 )
Jenny has a $3,000 balance on her credit card with an 18% interest rate. If she makes no payments on her
card and no late fees were charged how long will it take her debt to double?
Answer:
5 years
Step-by-step explanation:
Firstly, Let's use a function to find how much Jenny owes every year.
Using f(t)=3,000(1.18)^t
We can find the amount of money jenny owes every year.
Now let's try to find how many years it would take her to double her credit card debt.
If we change t=5, we can see that the function gives us an output of 6,863.27 which is double the amount of which she currently owes.
The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had less than two absences during the first quarter?
Answer:
68
ignore the rest of this i need 20 charecters
Answer:
68%
Step-by-step explanation:
John predicted that his project would require, in effort, 25 person-days (d/p) for plan development, 75 d/p for software development, 20 d/p for reviews, 30 d/p for tests, 20 d/p for training and 5 d/p for methodology. His project cost 250 days/p, because he had to redo several modules following the test results.
a) Calculate the costs of non-compliance, enforcement, prevention and evaluation.
Show your calculations below.
b) Calculate the percentage of effort, out of the total cost, devoted to each component:
a. the costs of non-compliance, enforcement, prevention and evaluation are -75 d/p, -$7500, $17500 and $5000 respectively
b. The percentage of effort devoted to each component is:
Plan development: 10%Software development: 30%Reviews: 8%Tests: 12%Training: 8%Methodology: 2%a) To calculate the costs of non-compliance, enforcement, prevention, and evaluation, we need to determine the deviations in effort for each component and multiply them by the corresponding cost per person-day.
Non-compliance cost:
Non-compliance cost = Actual effort - Predicted effort
To calculate the actual effort, we need to sum up the effort for each component mentioned:
Actual effort = Plan development + Software development + Reviews + Tests + Training + Methodology
Actual effort = 25 + 75 + 20 + 30 + 20 + 5 = 175 d/p
Non-compliance cost = Actual effort - Predicted effort = 175 - 250 = -75 d/p
Enforcement cost:
Enforcement cost = Non-compliance cost * Cost per person-day
Assuming a cost of $100 per person-day, we can calculate the enforcement cost:
Enforcement cost = -75 * $100 = -$7500 (negative value indicates a cost reduction due to underestimation)
Prevention cost:
Prevention cost = Predicted effort * Cost per person-day
Assuming a cost of $100 per person-day, we can calculate the prevention cost for each component:
Plan development prevention cost = 25 * $100 = $2500
Software development prevention cost = 75 * $100 = $7500
Reviews prevention cost = 20 * $100 = $2000
Tests prevention cost = 30 * $100 = $3000
Training prevention cost = 20 * $100 = $2000
Methodology prevention cost = 5 * $100 = $500
Total prevention cost = Sum of prevention costs = $2500 + $7500 + $2000 + $3000 + $2000 + $500 = $17500
Evaluation cost:
Evaluation cost = Total project cost - Prevention cost - Enforcement cost
Evaluation cost = $25000 - $17500 - (-$7500) = $5000
b) To calculate the percentage of effort devoted to each component out of the total cost, we can use the following formula:
Percentage of effort = (Effort for a component / Total project cost) * 100
Percentage of effort for each component:
Plan development = (25 / 250) * 100 = 10%
Software development = (75 / 250) * 100 = 30%
Reviews = (20 / 250) * 100 = 8%
Tests = (30 / 250) * 100 = 12%
Training = (20 / 250) * 100 = 8%
Methodology = (5 / 250) * 100 = 2%
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How do you find the values of the parameters a and c in the parabola with the equation f(x)=ax^2+c such that the slope of the tangent at x=1 is 4.
To find the values of the parameters a and c in the parabola with the equation f(x) = ax^2 + c such that the slope of the tangent at x = 1 is 4, you can use the following steps:
Find the derivative of the function f(x). To do this, you will need to use the power rule for differentiation, which states that the derivative of x^n is nx^(n-1). In this case, the derivative of f(x) is 2ax.
Substitute x = 1 into the derivative of the function f(x). This will give you the slope of the tangent line at x = 1.
Set the slope of the tangent line at x = 1 equal to 4. This will give you an equation in terms of a and c.
Solve the equation for a and c. This will give you the values of the parameters a and c that you are looking for.
For example, suppose you have the parabola f(x) = ax^2 + c, and you want to find the values of the parameters a and c such that the slope of the tangent at x = 1 is 4. The derivative of f(x) is 2ax, so substituting x = 1 into this equation gives you the slope of the tangent line at x = 1: 2a(1) = 2a. Setting this equal to 4 gives you the equation 2a = 4, which you can solve for a to get a = 2.
To find the value of c, you can substitute the value of a back into the original equation for the parabola, f(x) = ax^2 + c. For example, if x = 1, then f(1) = (2)(1^2) + c = 2 + c. If you know the value of f(1), you can substitute it into this equation to solve for c.
For example, suppose you know that f(1) = 6. Substituting this value into the equation f(1) = 2 + c gives you 6 = 2 + c, which you can solve for c to get c = 4.
Therefore, the values of the parameters a and c in the parabola with the equation f(x) = ax^2 + c such that the slope of the tangent at x = 1 is 4 are a = 2 and c = 4.
The value of a is 2 and c is f(1)-2.
What is a tangent to a parabola?
The equation of the tangent of the parabola y² = 4ax is y = mx + a/m, where c = a/m. The point of contact is (a/m², 2a/m).
Given here, the equation of the parabola as y= ax²+ c and therefore slope of the parabola is f'x = 2ax substituting x=1 we should get slope equal to 4 hence 2a=4 or a=2 and again substituting the value of a=2 and at x=1 we get f(1) = 2+c thus c=f(1)-2
Hence, this is the process to find the value of a and c.
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5p + 2 = 3p - 8 please help
Answer:
p=-5
Step-by-step explanation:
5p-3p=-2-8
2p=-10
p=-5
express in two line copy(-2)×(+3)
(with photo)
Answer:
Step-by-step explanation:
The product of a negative two and a positive three is equal to negative six (-6).
please help thank you
need some help with this third question
Answer:
276.46 in^3
Step-by-step explanation:
See the attached worksheet. The pencil balloon if formed by a cylinder and cone. Use the volume formulas for each of these shapes to calculate that shape's contribution to the total volume, and then add them.
The volume of the cylinder portion is 263.9 in^3.
The volume of the cone portion is 12.56 in^3
The sum is 276.46 in^3, which matches the first answer option.
Answer:
276.46 cubic inches
Step-by-step explanation:
Volume of the cylindrical part = πr²h, r= radius, h = height
Volume of a cone (1/3) πr²h, r= radius, h = height
For given dimensions
cylinder h = 21, cylinder r = 2
Volume of cylindrical part of balloon = π · 2² · 21 = 4 · 21 · π = 84π cubic inches
Volume of conical part of balloon = (1/3) π · 2² · 3 = 4π
Total volume = 84π + 4π = 88π = 276.46 cubic inches
a gallon of water weighs pounds. the rhoads family has a round, -foot diameter, above-ground pool. how much weight is added to the pool when it is filled with gallons of water?
When the Rhoads family fills their above-ground pool with approximately 3,205 gallons of water, they add a weight of approximately 503,432.61 pounds to the pool.
We can use the given weight of water per gallon to find the total weight of water added to the pool:
Weight of 1 gallon of water = 8.34 pounds
Number of gallons of water in the pool = 3,205 gallons
Radius of the pool = 6 feet (half of the diameter)
Volume of the pool = π × (Radius)^2 × Depth
The depth of the pool is not given, so let's assume it is 4 feet (a common depth for above-ground pools):
Volume of the pool = π × (6 feet)^2 × 4 feet
Volume of the pool ≈ 452.39 cubic feet
Number of gallons of water in the pool = Volume of the pool ÷ 7.48
Number of gallons of water in the pool ≈ 60,381.71 gallons
Total weight of water added to the pool = Weight of 1 gallon of water × Number of gallons of water in the pool
Total weight of water added to the pool ≈ 503,432.61 pounds
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_____The given question is incomplete, the complete question is given below:
A gallon of water weighs 8.34 pounds. The Rhoads family has a round, 12-foot diameter, above-ground pool. How much weight is added to the pool when it is filled with 3, 205 gallons of water?
let f and g be the functions given by f(x) = xe^x^3 write the first four nonzero terms and the genernal term of the taylor series
The general term of the Taylor series for f(x) = xe^(x^3) centered at x = 0 is (x^(3n+1)) / n!
The first four non-zero terms of the Taylor series for the function f(x) = xe^(x^3) centered at x = 0, along with the general term, are as follows:
f(0) = 0
f'(x) = e^(x^3) + 3x^3 e^(x^3)
f'(0) = 1
f''(x) = (6x^6 + 9x^2 + 1) e^(x^3)
f''(0) = 1
f'''(x) = (54x^9 + 81x^5 + 27x) e^(x^3)
f'''(0) = 0
The general term of the Taylor series for f(x) can be written as:
f^(n)(0) / n! * x^n
where f^(n) denotes the nth derivative of f. Therefore, the general term of the Taylor series for f(x) = xe^(x^3) centered at x = 0 is:
(x^(3n+1)) / n!
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