Question partpointssubmissions usedverify that the divergence theorem is true for the vector field f on the region
e. give the flux.f(x, y, z) = 3xi + xyj + 5xzk,e is the cube bounded by the planes x = 0, x = 2, y = 0, y = 2, z = 0, and z = 2.
How can you find the perimeter of the rhombus? Find 1/2 (QS)(RT). Find 1/2(QT)(TS). Use the distance formula to find QT, then multiply by 4. Use the distance formula to find QT and QR, add the distances, then multiply by 4.
Yes C is correct which would be
Use the distance formula to find QT, then multiply by 4.
The perimeter of the rhombus can be found by C. use the distance formula to find QT and then multiply by 4.
What is Rhombus?A rhombus is a two dimensional shape which consists of four equal sides with opposite side being parallel and opposite angles being equal.
Perimeter of a straight sided figures or objects is the total length of it's boundary.
Actual perimeter = QR + RS + ST + TQ
That is add all the sides.
Now since the polygon is rhombus, all the sides are of equal length.
So, it is enough to find any side length of the rhombus and then multiply by 4.
The length of a side can be found using the distance formula.
So the correct way is use the distance formula to find QT and then multiply by 4.
Hence the correct option is C.
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Your question is incomplete. The complete question is as given below.
Solve for y.
a.10
b.12
c.15
d.18
What is the domain of the function g(x) = 52x? x > 0 x < 0 all real numbers all positive real numbers
Answer: all real numbers
Step-by-step explanation:
The given function is : [tex]g(x) = 52x[/tex], which is polynomial function with degree one.
The domain of a function is the set of all values for x for which the function must be defined.We know that the domain of a polynomial is the entire set of real numbers because for any real number r the polynomial function exists.
Therefore, the domain of the given function [tex]g(x) = 52x[/tex] is the set of real numbers.
The sum of the squares of two numbers is 18. the product of the two numbers is 9. find the numbers.
Answer:
x=3 y=3
Step-by-step explanation:
The sum of the squares of two numbers is 18, and the product of those two numbers is 9, you just need to create an equation:
So the sum of the squares is 18, the first number will be represented as X and the second as Y:
[tex]x^{2}+ y^{2} =18[/tex]
And the other one is that the product of the two numbers is 9:
[tex]xy=9[/tex]
We have a system of equations here, we clear X from the first one:
[tex]x=\frac{9}{y}[/tex]
And instert that value of x in the first one:
[tex]x^{2}+ y^{2} =18\\(\frac{9}{y} )^{2}+ y^{2} =18\\81=y^2(18-y^2)\\y^4-18y^2+81=0\\(y^2-9)(y^2-9)=0\\Y^2-9=0\\y^2=9\\y=3[/tex]
By solving this equation we get that the first number is 3.
The second number is solved by inserting the value of Y into one of the equations, in this case we will use the second:
[tex]xy=9\\x=\frac{9}{y} \\x=\frac{9}{3} \\x=3[/tex]
So we get that x and y are both 3.
A laterally loaded single pile is shown below. use the elastic pile solutions (based on the winkler's model) to calculate the displacement and rotation at pile head ????. assume free headed condition. pile length ???? = 30 ft; young's modulus ???????? = 3 × 10 6 psi; ????ℎ = 30 lb/in3 ; and the eccentricity ???? = 60 in.
YOU HAVE TO KNOW FOR SURE THE ANSWER. (: 15 points?!
Which fraction is equivalent to 95%
A. 0.95/10
B. 0.95/100
C. 95/10
D. 95/100
Answer:
D)
Step-by-step explanation:
Percent means "per hundred" or "out of one hundred." While B) is out of one hundred, turn it into a percent, and the percentage would be .95%. A) and C) are not out of 100, so those answers are not applicable. The only answer left is D), which is correct, because 95/100 is equivalent to 95%.
a coin is tossed , then a number 1-10 is chosen at random.what is the probability of getting heads then a number less than 4?
which number correctly completes this equation 3/4%x75= A. 0.255 B. 0.5625 C. 2.55. D. 5.626
Ples help me find slant assemtotes
this one is different because it isn't a rational function
find the slant assemtotes of [tex](y+1)^2=4xy[/tex]
the equation can be rewritten using the quadratic formula as [tex]y=2x-1 \pm \sqrt{x^2-x}[/tex]
ples find slant assemtotes and show all work
thx
which means the other asymptote is the line .
Together, two people earn $28,000. One earns $2,000 more than the other. How much is the smaller income?
$30k
$26k
$14k
$13k
What is the mode of the data set? 61, 92, 61, 89, 92, 61 Enter your answer in the box.
Answer:
61 is the Answer
Step-by-step explanation:
K12 for life
7.
Find the amount of the payment for the sinking fund.
Amount Needed: $58,000
Years Until Needed: 2
Interest Rate: 6%
Interest Compounded: Semiannually
$13,863.74
$8,620.68
$28,155.52
$13,258.22
Hey can you please help me posted picture of question
k+1=3k-1 please show me the correct steps to solve this problem
If i know a real root of f(x) = x3 -6x2 + 11x – 6 is neither 1, even, or negative, a good guess would be?
A good guess for the real root of the polynomial [tex]f(x) = x^3 - 6x^2 + 11x - 6[/tex] that is neither 1, even, nor negative, would be a positive odd integer such as 3 or 5, considering the constraints and the Rational Root Theorem.
The real root of the cubic equation [tex]f(x) = x^3 - 6x^2 + 11x - 6[/tex] that is neither 1, even, nor negative would most likely be a positive odd number (since all positive even numbers are, by default, also excluded). Considering the smallest odd numbers greater than 1 are 3 and 5, and given that we're working with integers, a good guess for the real root would be either 3 or 5. However, one can apply the Rational Root Theorem which states that any rational root, expressed in its lowest form p/q, must have p as a factor of the constant term and q as a factor of the leading coefficient. In this case, the possible rational roots could be
divisors of 6 (constant term) over divisors of 1 (leading coefficient), which gives us only divisors of 6 itself
since the leading coefficient is 1. Among those divisors, the ones that fit the criteria of being neither 1, even, nor negative, would be 3 or positive odd integers.
K+1=3k-1 what us the answer
A, B, C, and D have the coordinates (-8, 1), (-2, 4), (-3, -1), and (-6, 5), respectively. Which sentence about the points is true?
A, B, C, and D lie on the same line.
AB and CD are perpendicular lines.
AB and CD are parallel lines.
AB and CD are intersecting lines but are not perpendicular.
AC and BD are parallel lines.
Answer:
AB and CD are intersecting lines but are not perpendicular.
See attached image.
Step-by-step explanation:
hat is the sum of the geometric series in which a1 = 3, r = 4, and an = 49,152?
Hint: an = a1(r)n − 1, where a1 is the first term and r is the common ratio.
Sn = −65,535
Sn = 16,383
Sn = 13,120
Sn = 65,535
To find the sum of the geometric series, we use the formula: Sn = a1 * (r^n - 1) / (r - 1). Substituting the given values and solving, we find that the sum is 16,383.
Explanation:To find the sum of a geometric series, we can use the formula Sn = a1 * (r^n - 1) / (r - 1), where Sn is the sum of the series, a1 is the first term, r is the common ratio, and n is the number of terms.
In this case, a1 = 3, r = 4, and an = 49,152. We can use the formula to find n, which is the exponent.
49,152 = 3 * (4^n - 1) / (4 - 1)
49,152 = 3 * (4^n - 1) / 3
16,384 = 4^n - 1
4^n = 16,385
n = log4(16,385)
n ≈ 7
Now, we can substitute the values into the formula for Sn.
Sn = 3 * (4^7 - 1) / (4 - 1)
Sn = 3 * (16,384 - 1) / 3
Sn = 3 * 16,383 / 3
Sn = 16,383
Therefore, the sum of the geometric series is 16,383. So the correct answer is Sn = 16,383.
The correct answer is [tex]\( S_n = 65,535 \)[/tex].
To find the sum of a geometric series, you can use the formula:
[tex]\[ S_n = a_1 \frac{(r^n - 1)}{r - 1} \][/tex]
Where:
- [tex]\( S_n \)[/tex] is the sum of the series,
- [tex]\( a_1 \)[/tex] is the first term,
- [tex]\( r \)[/tex] is the common ratio,
- [tex]\( n \)[/tex] is the number of terms.
Given [tex]\( a_1 = 3 \), \( r = 4 \), and \( a_n = 49,152 \)[/tex], we need to find [tex]\( n \)[/tex]. The formula for the [tex]\( n^{th} \)[/tex] term in a geometric series is [tex]\( a_n = a_1 \times r^{(n-1)} \)[/tex]. In this case, [tex]\( 49,152 = 3 \times 4^{(n-1)} \)[/tex]
Let's solve for n:
[tex]\[ 4^{(n-1)} = \frac{49,152}{3} \][/tex]
[tex]\[ 4^{(n-1)} = 16,384 \][/tex]
[tex]\[ n-1 = \log_4(16,384) \][/tex]
[tex]\[ n-1 = 7 \][/tex]
[tex]\[ n = 8 \][/tex]
Now that we have [tex]\( n = 8 \)[/tex], we can use it in the sum formula:
[tex]\[ S_n = 3 \frac{(4^8 - 1)}{4 - 1} \][/tex]
[tex]\[ S_n = 3 \frac{(65,536 - 1)}{3} \][/tex]
[tex]\[ S_n = 3 \frac{65,535}{3} \][/tex]
[tex]\[ S_n = 65,535 \][/tex]
Therefore, the correct answer is [tex]\( S_n = 65,535 \)[/tex].
Hey can you please help me posted picture of question
a company that manufactures and ships canned vegetables is designing boxes in the shape of rectangular prisms to meet specific requirements. The vegetables are packed into cans that are 3 inches in diameter and 5 inches in height. Company regulations state that boxes must be filled in with two layers of 12 cans each, and be completely closed with no overlapping material. What is the smallest amount of cardboard needed to meet the company's requirements
Answer:
636
Step-by-step explanation:
trust
Enrique earns 101010 points for each question that he answers correctly on a geography test. Write an equation for the number of points, yyy Enrique scores on the test when he answers xxx questions correctly.
In the question it must be 10 instead of 101010, y instead of yyy and x instead of xxx.
Since, Enrique earns 10 points for each question that he answers correctly on a geography test.
We have to write an equation for the number of points, 'y' Enrique scores on the test when he answers 'x' questions correctly.
So, Number of points scored = Points scored for one question [tex] \times [/tex] Number of questions answered correctly.
So, Number of points scored = [tex] 10 \times x [/tex]
[tex] y=10 \times x [/tex]
y = 10x is the required equation.
HELP PLEASE
Determine the missing statements and reasons for the following proof.
In a mathematical proof, missing statements and reasons are usually concluded from the given statements and the relevant geometric postulates or theorems. They could include establishing the congruency of angles or declaring the parallelism of lines.
Explanation:Without the concrete steps of the proof or the reasoning proposed, it is difficult to provide the exact missing statements and reasons. However, in a general mathematical proof, common reasons used include 'definition of congruent angles', 'definition of parallel lines', 'alternate interior angles theorem', etc.
For instance, if we have a proof that involves stating two angles are congruent, the missing statement might be 'Angle A is congruent to Angle B', and the missing reason could be 'Definition of Congruent Angles' or 'Angle Bisector Theorem', if an angle bisector comes into the picture.
Another missing statement might be 'Segment AB is parallel to Segment CD', with the reason being 'Corresponding Angles Postulate', or 'Alternate Interior Angles Theorem', if the proof involves parallel lines.
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Each gallon of shingle stain covers 120 square feet. How many gallons should you buy to cover 658 square feet?
5.483 gallons bought to cover 658 square feet.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Each gallon of shingle stain covers 120 square feet.
We have to find gallons should be bought to cover 658 square feet.
We have to perform division
= 658/120
= 5.483 gallons
Hence, 5.483 gallons bought to cover 658 square feet.
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Josiah has 3 packs of toy animals. Each pack has the same number of animals. Josiah gives 6 animals to his sister stephanie. Then josiah has 9 animals left.how many animals were in each pack?
Q#2 Graph the relation in the table.Then use the vertical-line test.Is the relation a function
The hypotenuse of an isosceles right triangle is 14 sqrt 2. How long is each leg of the triangle?
Answer:
14
Step-by-step explanation:
Let the legs of the triangle each have length $x$ (they are equal because it is an isosceles right triangle). Then
x^2 + x^2 = (14√2)^2 = 14^2 × (√2)^2 = 14^2 × 2, so x^2 = 14^2. Given that x must be positive, we have x = 14. So, the value of each leg is 14
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Jorge owes his father $60. After raking the lawn for the month, he has paid him $12, $8, and $9. How much money does Jorge still has owes his father?
PLZ HELP ASAP WRITE STANDERED EQAUTION OF A CIRCLE
What is the probability of rolling an even number or a prime number on a number cube? Write as a fraction in simplest form.
Final answer:
The probability of rolling an even number or a prime number on a six-sided die is 5/6, considering the unique favorable outcomes of 2, 3, 4, 5, and 6 against the total possible outcomes.
Explanation:
The question asks, "What is the probability of rolling an even number or a prime number on a number cube?" To answer this, first identify the outcomes on a six-sided die which are even and those that are prime.
Even numbers on a die: 2, 4, 6. Prime numbers on a die: 2, 3, 5. Notice that 2 is both even and prime, and it only needs to be counted once. Therefore, the unique favorable outcomes are 2, 3, 4, 5, 6.
The die has a total of 6 sides, making the total number of possible outcomes 6. The probability of rolling an even number or a prime number is therefore the number of favorable outcomes (5) divided by the total number of outcomes (6), which simplifies to 5/6.