Answer:
5cm
Step-by-step explanation:
radius of cone using volume:
v = (r)^2 (h/3)
1. Plug in:
87 = (3.14) (r)^2 (4/3)
2. Divide
87 = (3.14) (r)^2 (1.33333333333)
3. Multiply
87 = 4.18666666667 (r)^2
4. Divide to get r alone:
87 / 4.18666666667 = 4.18666666667 / 4.18666666667 (r)^2
20.7802547771 = r^2
5. Square root
The principal, real, root of:
20.7802547771
√220.78025477712 = 4.55853647 = r
So the radius is 4.55853647 or 5 cm
Nearest centimeter means rounding the value to the closest whole number in centimeters. In this case, the radius of the cone is approximately 4.55853647 cm. Rounding this value to the nearest centimeter gives 5 cm.
Added pictures to help.
The midpoint of AB is M(6, 3) . If the coordinates of A are (7, 4) , what are the coordinates of B?
Answer:
5,2
Step-by-step explanation:
the difference between a and m is 1,1 so 1,1 subtracted from the mid point(M) would be 5,2
my brother needs help with this !
Answer:
1. 20
2. 35
3. 20
4. 20
Step-by-step explanation:
Are u serious..... ඩඩඩඩඩඩඩ
Help please!! It would be nice if you could add an explanation, but you don't have to. I just need the answer.
What’s the value of X
Answer:
Step-by-step explanation:
Use the Law of Sines for this. Set it up as follows:
\(\frac{sin(x)}{6}=\frac{sin(61)}{6.2}\) Cross multiply:
6.2sin(x) = 6sin(61) and solve for the term with the unknown in it:
\(sin(x)=\frac{6sin(61)}{6.2}\)
Work on the right side first. Plug that into your calculator to get
sin(x) = .8464061682
Now the problem comes down to "what angle has a sine of .8464061682?" This requires the use of the inverse button on your calculator. Hit 2nd, then sin, and you will see on your screen:
\(sin^{-1}(\)
After that open parenthesis enter that big long decimal and hit equals. You should get an angle measure of 57.822 degrees. Not sure what you are rounding to.
Please answer correctly !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Answer:
x = 7
Step-by-step explanation:
180 - 141 = 39
39 + 17 = 56
8x = 56
56/8 = 7
x = 7
Y more than 9 into an algebraic expression
Answer:
Step-by-step explanation:
If you are saying, Y is more than 9, then use this- Y>9
If you are saying Y more than 9 equals ? then use this- 9+Y=?
Hope i helped you!!
The table shows the results of an experiment in which three coins were tossed.
What is the experimental probability that at least two of the coins will be heads? The theoretical probability?
The experimental probability that at least two heads would be gotten is 11 / 25.
The theoretical probability that at least two heads would be gotten is 1/2.
What are the probabilities?Probability calculates the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
Experimental probability is based on the result of an experiment that has been carried out multiples times.
Experimental probability = number of times at least two heads would be gotten / total number of tosses
( 5 + 6 + 6 + 5)/50 = 22/50 = 11 / 25
Theoretical probability = number of times at least two heads would be gotten / total number of possible outcomes
4 / 8 = 1/2
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13. Write a quadratic equation that will have a solution of only x = 0. Note: this means there will be a double solution of x = 0.
we have that
A quadratic equation that will have a solution of only x = 0 is given by the equation
\(y=x^2\)Suppose you know the slope of a linear relationship and one of the points that it’s graph passes through how can you determine if the relationship is proportional or not?
Answer:
I exactly don't have or know the answer
you buy a tv for 428 and must pay 5,5% sales tax what is the new price of the tv
Answer: $451.54
Step-by-step explanation:
You have $23.54 in tax. 428 + 23.54 - 451.54
Hope this helped.
Please help me!
[One Step Inequalities]
Answer:
C
Step-by-step explanation:
Divide each side by 5
Can someone help me please?
combine like terms: 3p2q2-3p2q3+4p2q3-3p2q2+pq PLEASE HELP!!! ASAP!!!
Answer:
p²q³ + pq and pq(pq² + 1)
Step-by-step explanation:
Given
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Required
Collect like terms
We start by rewriting the expression
3p²q² - 3p²q³ +4p²q³ -3p²q² + pq
Collect like terms
3p²q² -3p²q² - 3p²q³ +4p²q³ + pq
Group like terms
(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq
Perform arithmetic operations on like terms
(0) - (-p²q³) + pq
- (-p²q³) + pq
Open bracket
p²q³ + pq
The answer can be further simplified
Factorize p²q³ + pq
pq(pq² + 1)
Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)
Evaluate the expression when a=-7 and b=5.
-8b+a
Answer:
-47
Step-by-step explanation:
-8(5)+-7
= -40 -7 (+ gets elimanated by the -)
= -47
1. How many quarters are in 12 1/4
2. How many ninths are in 6 1/9
3. How many eighths are in 5 3/4
If F(x) and G(x) are two functions such that F(G(x)) = x, then F(x) and G(x) are _____.
A. complementary functions
B. quadratic functions
C. opposite functions
D. inverse functions
a complementary functions
if every employee at the company is assigned a 6-digit person id number, how many potential employee id numbers are there?
Answer:
1,000,000
Step-by-step explanation:
There are 10 choices for each digit, and there are 6 digits.
Therefore, the answer is 10^6, which is 1,000,000
Feel free to tell me if I did anything wrong! :)
There are 1,000,000 potential employee ID numbers in a 6-digit format. Each digit can range from 0 to 9, providing a total of one million unique combinations.
A 6-digit person ID number consists of six positions, with each position allowing for 10 different possibilities (0-9). To calculate the total number of potential employee ID numbers, we can multiply the number of possibilities for each position together.
For a 6-digit number, we have:
10 options for the first digit (0-9)
10 options for the second digit (0-9)
10 options for the third digit (0-9)
10 options for the fourth digit (0-9)
10 options for the fifth digit (0-9)
10 options for the sixth digit (0-9)
Multiplying these possibilities together, we get
10 * 10 * 10 * 10 * 10 * 10 = 1,000,000
Therefore, there are one million potential employee ID numbers in a 6-digit format. This means that the company can assign unique ID numbers to up to one million employees using the given 6-digit person ID numbering system.
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grade 5
mathematics
Add:
\( {3 }^{2} + \sqrt{64 + 36} \)
PLEASE HELP FAST. What is the area of this right triangle?
Formula for the area of a triangle = 1/2 x base x height
Base = 24
Height = 7
Area = 1/2 x 24 x 7 = 12 x 7 = 84
Answer: 84 yd^2
Hope this helps!
Use Descartes' Rule of Signs to determine how many positive and how many negative real zeros the polynomial can have. Then determine the possible total number of real zeros. (Enter your answers as comma-separated lists.)
P(x) = x^3 − x^2 − x − 5
number of positive zeros possible number of negative zeros possible number of real zeros possible
According to Descartes' Rule of Signs, there is 1 positive real zero and 2 or 0 negative real zeroes of the polynomial.
Descarte's Rule of Signs determines the number of real zeros in polynomial functions.
This indicates that -
The number of positive real zeros in the polynomial function f(x) is less than or equal to an even number depending on the sign change of the coefficients.
The number of negative real zeros in f(x) is an even number equal to or less than the number of sign changes of the coefficients of f(-x) terms.
Here, the polynomial function is given as -
\(P(x)=x^{3}-x^{2} -x-5\) ----- (1)
We have to find out the number of positive and negative real zeros that the given polynomial can have.
The given polynomial already has its variables in the descending powers. So, we can easily determine the number of sign changes in the coefficients of P(x).
So, the coefficients of the variables in P(x) are -
1, -1, -1, -5
From above, we see that -
There is a sign change in the first and second variable coefficients
There is no sign change in the second and third variable coefficients
There is no sign change in the third and fourth variable coefficients
According to Descartes' Rule of Signs, there can be exactly three positive real zeros or less than three but an odd number of zeros.
So, we can determine that the number of positive real zeroes of the given polynomial can be 1.
To find out the negative real zeroes of the given polynomial, we have to find out P(-x) and determine the sign changes in the variable coefficients of P(-x).
From equation (1), we can write P(-x) as -
\(P(x)=x^{3}-x^{2} -x-5\\= > P(-x)=(-x)^{3}-(-x)^{2} -(-x)-5\\= > P(-x)=-x^{3}-x^{2} +x-5\)----- (2)
So, the coefficients of the variables in P(-x) are -
-1, -1, +1, -5
From above, we see that -
There is no sign change in the first and second variable coefficients
There is a sign change in the second and third variable coefficients
There is a sign change in the third and fourth variable coefficients
According to Descartes' Rule of Signs, since there are two sign changes of the coefficient variables, there can be two negative real zeros or less than two but an even number of zeros.
So, we can determine that the number of negative real zeroes of the given polynomial can be 2 or 0.
Thus, according to Descartes' Rule of Signs, there is 1 positive real zero and 2 or 0 negative real zeroes of the polynomial.
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a political candidate has asked you to conduct a poll to determine what percentage of people support her. if the candidate only wants a 4% margin of error at a 97.5% confidence level, what size of sample is needed?
To determine the required sample size for a political poll with a 4% margin of error and a 97.5% confidence level, a formula can be used. For this scenario, the sample size required would be approximately 862 respondents.
To calculate the sample size needed for a political poll with a 4% margin of error and a 97.5% confidence level, the following formula can be used:
n = (Z^2 * p * (1-p)) / E^2
Where:
n is the sample size
Z is the Z-score associated with the desired confidence level (in this case, it is 2.24)
p is the expected proportion of support for the candidate (this value is typically unknown, so a conservative estimate of 0.5 is often used to get the maximum sample size)
E is the margin of error
Plugging in the values for this scenario, we get:
n = (2.24^2 * 0.5 * (1-0.5)) / 0.04^2
n ≈ 862
Therefore, the required sample size for this political poll is approximately 862 respondents. This sample size would provide a margin of error of 4% at a 97.5% confidence level, meaning that there is a 97.5% chance that the true proportion of support for the candidate lies within the range of the survey results plus or minus the margin of error.
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Which of the situations below probably does not have a lurking variable operating in some way?Choose the best answer. A. When sales of cold medication go up, sales of ice cream go down. B. Beaches with more sand than rocks tend to be older. O C. Small dogs bite more people than large dogs nationwide, but in both rural areas and urban areas, large dogs are more likely to bite people. D, Neighborhoods with more station wagons tend to have more playgrounds. E Towns that have more teachers have higher sales of floor wax and cat litter.
The situation that probably does not have a lurking variable operating in some way is, option D: Neighborhoods with more station wagons tend to have more playgrounds. So, the correct option is, option D.
This is because it is unlikely that there is a hidden variable that is causing both the presence of station wagons and the presence of playgrounds. It is possible that neighborhoods with more families and children tend to have both more station wagons and more playgrounds, but this is not a hidden variable as it is already known and understood.
In contrast, the other options all involve relationships between variables that could be explained by a hidden variable.
For example, in option A, it is possible that the lurking variable is the weather, which affects both the sales of cold medication and the sales of ice cream.
Similarly, in option E, the lurking variable could be the overall economic health of the town, which affects both the number of teachers and the sales of floor wax and cat litter.
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The population of racoons in a state park increas by 3.5% each year. Right now, there are estimated to be 280 racoons in the park. How many raccoons will there be in 10 years
In the next 10 years there will be 398 racoons in the state park
What is population increase?The annual increase in the population size is defined as a sum of differences: the difference between births less deaths and the difference between immigrants less emigrants, in a given country, territory or geographic area at a given year.
Using the formula
p(t) = p(o) e^ kt
k = 3.5/100 = 0.035
t = 10 years
p(t) = 280 e^ 0.035 ×10
p(t) = 280e^0.35
p(t) = 280 × 1.42
p(t) = 398( nearest whole number)
therefore be after 10 years there will be 398 racoons in the state park.
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Solving quadratic equations by completing the square.
This method of completing the square can be used to solve any quadratic equation, even if the coefficients a, b, and c are not whole numbers.
Completing the square is a method used to solve quadratic equations in the form of ax^2 + bx + c = 0, where a, b, and c are constants. To use this method, follow these steps:
1. Move the constant term (c) to the other side of the equation, so that you have ax^2 + bx = -c.
2. Divide both sides of the equation by the coefficient of the x^2 term (a), so that you have x^2 + (b/a)x = -c/a.
3. Take half of the coefficient of the x term (b/a), square it, and add it to both sides of the equation, so that you have x^2 + (b/a)x + (b/2a)^2 = (b/2a)^2 - c/a.
4. Simplify the left side of the equation by factoring it as (x + b/2a)^2.
5. Take the square root of both sides of the equation, remembering to include both the positive and negative square roots.
6. Solve for x by subtracting b/2a from each side of the equation.
This method of completing the square can be used to solve any quadratic equation, even if the coefficients a, b, and c are not whole numbers. It is a useful tool to have in your mathematical toolbox, as it can simplify complicated equations and help you find the solutions you need.
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If there are two points, there is always one line?
Answer:
Through any two points there exists exactly one line. A line contains at least two points. If two lines intersect, then their intersection is exactly one point. Through any three non-collinear points, there exists exactly one plane.
Step-by-step explanation:
Answer:
yes they are
Step-by-step explanation:
A complete collection of all elements (scores, people, measurements, and so on) to be studied is called the Group of answer choices sample population parameter grade
The correct option is B. The complete collection of all elements, individuals, measurements, scores, or other entities that are of interest and relevant to a particular study or analysis is called the population.
A collection is a group of items that have been gathered or accumulated together based on a particular theme or purpose. Collections can be made up of physical objects such as books, stamps, coins, or artwork, as well as digital items like photos, music, or videos. Collections can also refer to data structures in computer programming that hold groups of related items.
People often collect items as a hobby or passion, and the act of collecting can bring a sense of fulfillment, enjoyment, and satisfaction. Collections can have both sentimental and monetary value, and they may be displayed in personal or public settings, such as museums or galleries. The process of collecting often involves researching and acquiring new items, as well as organizing and preserving the existing collection.
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I got the rest done and now my brain Isn't cooperating, h e l p
1 x= 2
2 x= 16
3 x= 12
Heart or brainly me!
What is this question asking for?
Write the additive inverse of 242.
Answer:
-242
Just change the sign and you will get the answer
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Shane, Cheryl, and Isaac went to the store to buy school supplies. Shane bought 4 pens, 3 folders, and 2 notebooks for a total of $12.25. Cheryl bought 4 folders and 6 notebooks for a total of $22. Isaiah bought 2 pens, 1 folder, and 3 notebooks for a total of $10.25. How much does each supply cost? Each pen costs $(1.25 0.50 0.75 1.75). Each folder costs $(2.75 1.75 2.50 1.25). Each notebook costs $(2.75 1.75 2.50 1.25).
The cost of each entity: each pen is $\(1.75\), each folder is $\(2.50\), and each notebook is $\(1.75\).
Let's assign variables to the costs of each supply:
Let the cost of each pen be P dollars.
Let the cost of each folder be F dollars.
Let the cost of each notebook be N dollars.
According to the given information, we can form the following equations:
For Shane:
\(4P + 3F + 2N = 12.25 (Equation \ 1)\)
For Cheryl:
\(4F + 6N = 22 (Equation \ 2)\)
For Isaiah:
\(2P + F + 3N = 10.25 (Equation \ 3)\)
To solve this system of equations, we can use substitution or elimination method.
Using the elimination method, let's multiply Equation 2 by 2 and Equation 3 by 4 to eliminate F:
\(8F + 12N = 44 (Equation \ 4)\\8P + 2F + 12N = 41 (Equation \ 5)\)
Now, subtract Equation 4 from Equation 5 to eliminate F:
\(8P + 2F + 12N - (8F + 12N) = 41 - 44\\8P - 6F = -3\)
Simplifying further, we have:
\(8P - 6F = -3 (Equation \ 6)\)
Now, let's multiply Equation 1 by 4 and Equation 3 by 3 to eliminate N:
\(16P + 12F + 8N = 49 (Equation \ 7)\\6P + 3F + 9N = 30 (Equation \ 8)\)
Now, subtract Equation 8 from Equation 7 to eliminate N:
\(16P + 12F + 8N - (6P + 3F + 9N) = 49 - 30\\10P + 9F - N = 19\)
Simplifying further, we have:
\(10P + 9F - N = 19 (Equation \ 9)\)
Now we have a system of equations consisting of Equation 6, Equation 9, and Equation 2:
\(8P - 6F = -3 (Equation \ 6)\\10P + 9F - N = 19 (Equation \ 9)\\4F + 6N = 22 (Equation \ 2)\)
To find the values of P, F, and N, we can solve this system of equations using any suitable method, such as substitution or elimination.
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