Answers
Step-by-step explanation:
\(r = \sqrt{ \frac{А}{3} } \)
\( {r}^{2} = \frac{А}{3} \)
\(А = 3{r}^{2} \)
HOPE IT HELPS YA
Related Questions
Which fractions are equivalent to -0.3? Select ALL that apply.
Answers
Answer:\(-\frac{3}{10}\)
Step-by-step explanation:
In the diagram, four squares of side length 2 are placed in the corners of a square of side length 6. Each of the points $W$, $X$, $Y$, and $Z$ is a vertex of one of the small squares. Square $ABCD$ can be constructed with sides passing through $W$, $X$, $Y$, and $Z$. What is the maximum possible distance from $A$ to $P$
Answers
In this problem, you have a square with side length 6 and four smaller squares with side length 2 placed in the corners. The points W, X, Y, and Z are the vertices of the smaller squares. The goal is to find the maximum possible distance between points A and P.
[asy] size(200); pair A,B,C,D,P,W,X,Y,Z; A=(0,4); B=(4,4); C=(4,0); D=(0,0); P=(2,2); W=(0,6); X=(6,6); Y=(6,0); Z=(0,0); draw(A--B--C--D--cycle); draw(W--X--Y--Z--cycle); draw(A--P--C); label("A",A,NW); label("B",B,NE); label("C",C,SE); label("D",D,SW); label("P",P,S); label("W",W,N); label("X",X,NE); label("Y",Y,S); label("Z",Z,SW); [/asy]
The point A is located on the bottom-left corner of the square with side length 6, and the point P is the center of the square $ABCD$. To find the maximum distance from A to P, we need to find the longest diagonal of the square $ABCD$.
The longest diagonal of a square is the one that goes from one corner of the square to the opposite corner. In this case, the longest diagonal goes from point A to point C, which is a distance of 6 units. Therefore, the maximum possible distance from A to P is 6 units.
A student researcher developed a novel analytical method for determining the lead (Pb 2+
) content in waste water. To demonstrate the efficacy of the new method, the researcher measured the Pb 2+
concentration in an unknown sample using the novel method (Method 1). She then measured the same sample using the standard, conventional analytical method (Method 2). The results of this experiment are shown as the mean ( x
ˉ
) and standard deviation (s) of the Pb 2+
concentration in parts per million (ppm). The number of replicate measurements (n) is also given. Method 1: x
ˉ
1
=4.210ppms 1
=0.160ppmn 1
=6 Method 2: x
ˉ
2
=4.360ppms 2
=0.110ppmn 2
=6 Calculate the F value. Are the standard deviations significantly different from each other at the 95\% confidence level? The value of F table
can be found in the table of critical F values. yes no Calculate the value of t calc
to compare the data sets from Method 1 and Method 2. t calc
= Can the student researcher assert that the new analytical method be considered a replacement for the conventional method with 99% confidence? A list of t values can be found in the Student's t table. yes no
Answers
The student researcher can determine if the standard deviations are significantly different and if the new analytical method can be considered a replacement for the conventional method with the specified confidence level.
To determine if the standard deviations are significantly different, we calculate the F value using the formula F = (s1^2 / s2^2), where s1 and s2 are the standard deviations of Method 1 and Method 2, respectively. In this case, s1 = 0.160 ppm and s2 = 0.110 ppm.
We then compare the calculated F value to the critical F value from the F distribution table at the 95% confidence level. If the calculated F value is greater than the critical F value, it indicates that the standard deviations are significantly different.
To compare the data sets from Method 1 and Method 2, we calculate the t calc value using the formula t calc = (X1 - X2) / sqrt((s1^2/n1) + (s2^2/n2)), where X1 and X2 are the means of Method 1 and Method 2, respectively, and n1 and n2 are the number of replicate measurements. In this case, X1 = 4.210 ppm, X2 = 4.360 ppm, n1 = n2 = 6.
The calculated t calc value is then compared to the critical t value from the Student's t distribution table at the desired confidence level (99% in this case). If the calculated t calc value is greater than the critical t value, the student researcher can assert with confidence that the new analytical method can be considered a replacement for the conventional method.
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The graph shows the function f(x) = |x-h| + k. What is the value of k?
Answers
Answer:
k is the y-coordinate of the vertex of the function. That vertex is located at (1, -2.5).
The value of k is ...
... A. k = -2.5
i think... ;-;
Answer:
A.k=-2.5
Step-by-step explanation:
just took it
30% of 50_ is 15 this
Answers
Answer: Yes, answer is 15
Step-by-step explanation:
Another way to look at this is 50% of 30, or just 1/2 of 30.
17. Who am I? ___ Collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.
a) template
b) array
c) structure
d) local variables
Answers
You are c) a structure. A structure is a collection of one or more different types of variables, including arrays and pointers, that have been grouped under a single name for each manipulation.
A structure is a user-defined data type that allows you to group together related data. For example, you could create a structure to store the name, age, and address of a person. The structure would have three variables, each of a different type: a string variable for the name, an integer variable for the age, and a string variable for the address.
The advantage of using a structure is that it allows you to treat the related data as a single unit. This makes it easier to manipulate the data and to pass the data to functions.
The other answer choices are incorrect. A template is a blueprint for creating a generic class or function. An array is a collection of elements of the same type. Local variables are variables that are declared within a function and that are only accessible within the function.
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Which number is not in scientific notation? (3 points)
Group of answer choices
0.5 ⋅ 103
2.01 ⋅ 10−2
1.3 ⋅ 10−4
6 ⋅ 1025
Answers
Answer:
0.5 ⋅ 103
Step-by-step explanation:
The sum of three numbers is 66. The second number is twice the first and six less than the third. find the numbers
Answers
Step-by-step explanation:
let the 1st number be x
and,
2nd number = 2x
3rd number = 2x + 6
their sum = 66
so, after inserting the values we got
→ x + 2x + 2x + 6 = 66
→ 5x + 6 = 66
→ 5x = 66 - 6 = 60
→ x = 60/5 = 12
→ x = 12
therefore,
1st number = x = 12
2nd number = 2x = 12 × 2 = 24
3rd number = 2x + 6 = 24 + 6 = 30
hope this answer helps you dear...take care and may u have a great day ahead!
A square pyramid and its net are shown below. What is the surface area of the pyramid?
17 cm
16 cm
Type the answer in the box.
square centimeters
17 cm
16 cm
...15 sm
15 cm.
Answers
Check the picture below.
so the area of it, is really the area of a 16x16 square and four triangles with a base of 16 and a height of 15.
\(\stackrel{ \textit{\LARGE Areas}}{\stackrel{ square }{(16)(16)}~~ + ~~\stackrel{ \textit{four triangles} }{4\left[\cfrac{1}{2}(16)(15) \right]}}\implies 256~~ + ~~480\implies \text{\LARGE 736}~cm^2\)
need some help with the question in the image
cheers
Answers
Answer:
the other candidate received 1875 votes
Step-by-step explanation:
if you add 50 and 25 percent you get 75 which leaves only 25 percent and to get the number or votes multiply 7500 by 0.25 or 7500 divided by 4
A baseball player comes up to bat 3 times during a league game. He either gets a hit or gets an out. How many different combinations are there for the three at bats? Make a tree diagram to help see the situation.
Answers
Answer:
8 different combinations are possible.
Step-by-step explanation:
Here, we have 2 different combinations for each time.
And the player comes out to bat 3 times.
So, total number of combinations are:
\(2^{3}\) i.e. a total of 8 number of times.
Let a hit is termed as 'H' and an out is termed as 'O'.
Total combinations are:
{HHH, HHO, HOH, HOO, OHH, OHO, OOH, OOO}
Kindly have a look at the tree diagram attached in the answer area.
In starting, there are 2 combinations possible, i.e. 'O' and 'H'.
After 'O' , 2 possible i.e. 'O' and 'H'.
After 'H' , 2 possible i.e. 'O' and 'H'.
and so on....
The number of independent variables that must be controlled when an individual completes a movement are called
Answers
The number of independent variables that must be controlled depends on the specific movement being performed and the goals of the individual performing the movement.
The number of independent variables that must be controlled when an individual completes a movement depends on the complexity of the movement and the context in which it is being performed. However, some common independent variables that are often controlled when an individual completes a movement include:
Kinematics: the position, velocity, and acceleration of the body parts involved in the movement.
Dynamics: the forces and torques acting on the body during the movement.
Environmental factors: the physical characteristics of the environment in which the movement is being performed, such as gravity, friction, and obstacles.
Cognitive factors: the mental processes involved in planning and executing the movement, such as attention, decision-making, and memory.
Feedback: the sensory information that is received during the movement, such as proprioceptive feedback from the muscles and joints, and visual feedback from the environment.
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These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Answers
Answer:
2/10 * 2/10 = 1/25
Step-by-step explanation:
Suppose you have 10 marbles in a bag. 5 black , 2 pink and 3 blue
As if two pink marbles are selected then for one pink marble probability = event occurred / total outcome = 2/10
Similar probability for an other pink marbles Probability for the drawing two pink marbles is P = 2/10 * 2/10 = 1/25
Use the Comparison Test to determine whether the series converges. Σ 7 6 K+6 00 The Comparison Test with a shows that the series k=1 1 6 1 k - 1 1 7 6 .
Answers
Using the Comparison Test to determine whether the series converges, the series Σ(7^(k+6)/6^(k+1)) converges.
To determine whether the series Σ(7^(k+6)/6^(k+1)) converges, we can use the Comparison Test.
Let's compare this series with the series Σ(1/(6^(k-1))).
We have:
7^(k+6)/6^(k+1) = (7/6)^(k+6)/(6^k * 6)
= (7/6)^6 * (7/6)^k/(6^k * 6)
Since (7/6)^6 is a constant, let's denote it as C.
C = (7/6)^6
Now, let's rewrite the series:
Σ(7^(k+6)/6^(k+1)) = C * Σ((7/6)^k/(6^k * 6))
We can see that the series Σ((7/6)^k/(6^k * 6)) is a geometric series with a common ratio of (7/6)/6 = 7/36.
The geometric series Σ(r^k) converges if |r| < 1 and diverges if |r| ≥ 1.
In this case, |7/36| = 7/36 < 1, so the series Σ((7/6)^k/(6^k * 6)) converges.
Since the original series is a constant multiple of the convergent series, it also converges.
Therefore, the series Σ(7^(k+6)/6^(k+1)) converges.
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Which of the following rational numbers has the LEAST value? 1/2 55% 6/10 1/3 6/20
Answers
Answer:3
Step-by-step explanation:
Nor except
how many integer solutions are there to 2x1 2x2 2x3 x4 x5 = 9 with xi>= 0
Answers
The total of two integer solutions are found to the equation 2x1 * 2x2 * 2x3 * x4 * x5 = 9 with xi≥0.
To find the number of integer solutions to the equation 2x1 * 2x2 * 2x3 * x4 * x5 = 9 with xi≥0, we can use the fact that the prime factorization of 9 is 3 * 3.
We can write the equation as 23x1 * 23x2 * 23x3 * x4 * x5 = 3 * 3.
Since 23 = 8, we can simplify the equation as 8x1 * 8x2 * 8x3 * x4 * x5 = 3 * 3.
To get the integer solutions for this equation, we can use casework analysis.
Case 1: 8x1 = 3.There is no integer solution to this case because 3 is not divisible by 8.
Case 2: 8x1 = 1, 8x2 = 1, and 8x3 = 1.
There is only one solution to this case which is x1 = x2 = x3 = 0.
This gives x4 * x5 = 39.
Since x4 and x5 must be non-negative, the only integer solution to this case is x4 = 3 and x5 = 1.
Case 3: 8x1 = 0 and 8x2 = 0 and 8x3 = 0.
There is only one solution to this case which is x1 = x2 = x3 = 0.
This gives x4 * x5 = 9.
Since x4 and x5 must be non-negative, the integer solutions to this case are x4 = 9 and x5 = 1 or x4 = 3 and x5 = 3.
Combining the solutions from all the cases, we get a total of two integer solutions to the equation 2x1 * 2x2 * 2x3 * x4 * x5 = 9 with xi≥0.
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Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Answers
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
solve the system of equations using a matrix. x+3y=11 4x-y=31
Answers
Answer:
\( \sf \: x=8 and y=1\)
Step-by-step explanation:
Let's solve your system by elimination.
x+3y=11;4x−y=31
Multiply the first equation by -4,and multiply the second equation by 1.
−4(x+3y=11)
1(4x−y=31)
Becomes:
−4x−12y=−44
4x−y=31
Add these equations to eliminate x:
−13y=−13
Then solve−13y=−13for y:
−13y=−13
−13y/−13=−13/−13
(Divide both sides by -13)
y=1
Now that we've found y let's plug it back in to solve for x.
Write down an original equation:
x+3y=11
Substitute1foryinx+3y=11:
x+(3)(1)=11
x+3=11(Simplify both sides of the equation)
x+3+−3=11+−3(Add -3 to both sides)
x=8
Determine which integer will make the inequality 2(n + 2) < 5(n − 1) true.
S:{10}
S:{3}
S:{2}
S:{0}
Answers
Hence, when \(n=10\) the given inequality is true.
What is the inequality?
An inequality is said to be sharp if it cannot be relaxed and still be valid in general.
Here given that,
Which integer will make the inequality \(2(n + 2) < 5(n -1)\) true.
So,
\(2(n + 2) < 5(n-1)\)
When
\(n=10\\\\\\2(10+2) < 5(10-1)\\\\2(12) < 5(9)\\\\24 < 45\)
Hence, when \(n=10\) the given inequality is true.
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Please show your work
Find the slope when given the following points.
(2, 1) and (5, 3)
Answers
Answer:
2/3
Step-by-step explanation:
We can find the slope using
m = ( y2-y1)/(x2-x1)
= ( 3-1)/(5-2)
= 2/3
Answer:
2/3
Step-by-step explanation:
Use the equation y2-y1/x2-x1
So, 3-1/5-2
2/3
Find the volume of a rectangular prism with length 7 feet,width 6 feet, and height 4 feet.
Answers
Answer:
V=168ft³
Step-by-step explanation:
V=
w-6
h-4
l-7
V = 168ft³
Emily went to the movies. 3 tickets cost $18 and 5 tickets cost $30.
Is the relationship between number of tickets and cost proportional?
Explain why or why
can someone please help me ASAP ?
Answers
Answer:
yes, the relationship is proportional
Step-by-step explanation:
If the cost per ticket is the same, regardless of the number of tickets, then the relationship is proportional.
$18/(3 tickets) = $6/ticket
$30/(5 tickets) = $6/ticket . . . the same as for 3 tickets
The relationship is proportional.
Determine the simple interest on an account paying 5.5% annually interest of an investment of $20,650. a. $1115.65 c. $1135.75 b. $1125.55 d. $1145.45
Answers
What is the relationship between the points on the line and solutions to the linear equation?
Answers
The relationship between the points on the line and solutions to the linear equation is, the equation has a solution at each point along the line.
In the given question, we have to find the relationship between the points on the line and solutions to the linear equation.
The equation has a solution at each point along the line. This simply means that it is easy to tell whether an ordered pair is a solution to an equation. The ordered pair is a solution to the equation if it lies on the line drawn by the linear equation.
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Which of the following is the distance of the point S(6.-1.-2) to the line passing through the points P(4.2.-1) and Q(2,8,2) 7 29 D M 9 61 9 Son avete 1946.07
Answers
The intersection point R of line PQ and the plane passing through point S is (11/22, 51/44, -21/22).The distance of point S from PQ line is |(-2)(6) + (6)(-1) + (3)(-2) - 20|/√((-2)²+(6)²+(3)²)=34/7 The answer is 34/7.
The question is asking for the distance of the point S(6,-1,-2) to the line passing through the points P(4,2,-1) and Q(2,8,2).The distance of a point (x1, y1, z1) to a line ax+by+cz+d=0 is given by:|ax1+by1+cz1+d|/√a²+b²+c², where a, b and c are the coefficients of x, y and z, respectively, in the equation of the line and d is a constant term.
The direction vector of PQ = (2-4, 8-2, 2+1) = (-2, 6, 3).The normal vector of PQ is perpendicular to the direction vector and is given by the cross product of PQ direction vector with the vector from PQ to the point S:{{(-2, 6, 3)} × {(6-4), (-1-2), (-2+1)}}={{(-2, 6, 3)} × {(2), (-3), (-1)}}={18, 8, -18}.
Using the point-normal form of a plane equation, the equation of the plane passing through point S and perpendicular to the line PQ is:18(x-6) + 8(y+1) - 18(z+2) = 0Simplifying, we get:9(x-6) + 4(y+1) - 9(z+2) = 0Now, we need to find the intersection of this plane and line PQ.
Let this intersection point be R(x,y,z).The coordinates of point R are given by the solution of the system of equations:9(x-6) + 4(y+1) - 9(z+2) = 0….(1)-2x + 6y + 3z - 20 = 0….(2)x - y - 3z + 5 = 0……
(3)Solving equation (3) for x, we get:x = y + 3z - 5Substituting in equation (2), we get:-(y+3z-5) + 6y + 3z - 20 = 0=> 5y + 6z = 15 or y = 3 - 6z/5Substituting in equation
(1), we get:-45z/5 - 4z/5 - 9(z+2) = 0=> z = -21/22 and y = 51/44 and x = 11/22.
Therefore, the intersection point R of line PQ and the plane passing through point S is (11/22, 51/44, -21/22).
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UHHHHH guys so it turns out that this is a review for tomorrow bc we have a test tmr and my teacher is going over all the answers. BUT, i did promise a brainliest, a follow , a thank u, AND a shoutout and thats what i'm gonna do.
Answers
Answer:
your going to do super good and get %100
Step-by-step explanation:
Answer:
Did you ace it? %100?
Step-by-step explanation:
2x + 3y = 16
4x - 3y =-4
Answers
Mrs. Rodríguez will make name tags for each of the 45 choir members and 30 orchestra members. The materials for each name tag cost $0.44. What is the total cost of the materials Mrs. Rodríguez will use to make these name tags?
Answers
Answer:
It should be $33 - - - - -
Step-by-step explanation:
45 + 30 = 75
75 × 0.44 = 33
Answer:
It's $33
Step-by-step explanation:
A student plans to enroll at the university and plans to continue there until earning a PhD degree (a total time of 9 years). If the tuition for the first 4 years will be $7,200 per year and it increases by 5% per year for the next 5 years, what is the present worth of the tuition cost at an interest rate of 8% per year?
Answers
The present worth of the tuition cost for a student planning to enroll at the university for 9 years, with the first 4 years costing $7,200 per year and a 5% annual increase for the next 5 years, can be calculated at an interest rate of 8% per year. The present worth is $23,455.297.
To calculate the present worth of the tuition cost, we need to consider the time value of money, which accounts for the fact that money in the future is worth less than money in the present. We can use the concept of present value to determine the worth of future cash flows in today's dollars.
For the first 4 years, the tuition cost is constant at $7,200 per year. To find the present value of these cash flows, we can use the formula for the present value of a fixed cash flow series. Applying this formula, we find that the present value of the first 4 years' tuition cost is
\(7,200 + 7,200/(1+0.08) + 7,200/(1+0.08)^2 + 7,200/(1+0.08)^3.\)
For the next 5 years, the tuition cost increases by 5% per year. We can use the concept of future value to calculate the value of these cash flows in the last year of the 9-year period. Applying the formula for future value, we find that the tuition cost in the last year is \($7,200*(1+0.05)^5.\)
Finally, we can sum up the present value of the first 4 years' tuition cost and the future value of the tuition cost in the last year to obtain the total present worth of the tuition cost for the 9-year period.
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b) Re-write the statement 16 + 5 + 2 - 1 by including one pair of brackets
to make the total value equal to 21.
c) Re-write the statement 16 + 5+2 - 1 + 6 by including two pairs of brackets
to make the total value equal to 3.
Answers
I don’t know what C is