The area of the one rectangular panel is equal to 220 ft².
How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
A = LW
Where:
A represents the area of a rectangle.W represents the width or base of a rectangle.L represents the length or height of a rectangle.Generally speaking, the opposites sides of a rectangle are equal;
DN = WF
12x + 4 = 20x - 8
20x - 12x = 8 + 4
8x = 12
x = 3/2.
Side DN = 12x + 4 = 12(3/2) + 4 = 22 feet.
DW = NF
5y - 5 = 2y + 4
y = 3
Side DW = 5y - 5 = 5(3) - 5 = 10 feet.
Area of rectangular panel = DN × DW
Area of rectangular panel = 22 × 10
Area of rectangular panel = 220 ft².
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Quadrilateral HIJK is an isosceles trapezoid and mZJ = 5p + 1°. What is the value of p?
J
P =
K
Save answer
106⁰
I
H
The value of P for the given isosceles trapezoid is 21.
What is an isosceles trapezoid ?An isosceles trapezoid is a four-sided figure with two parallel sides (called bases) of different lengths, and two non-parallel sides of equal length.
The non-parallel sides are also called legs. The two parallel sides are connected by two diagonal lines that intersect each other at a midpoint, forming two congruent triangles.
The following properties are characteristic of an isosceles trapezoid:
The opposite angles are supplementary (add up to 180 degrees).The diagonals are congruent to each other.The two non-parallel sides are congruent to each other.The angle between a non-parallel side and a base is congruent to the corresponding angle on the other side of the trapezoid.For this case, if m∠I = 106⁰, then m∠J = 106⁰
So the value of P is calculated as follows;
m∠J = 5p + 1 = 106
5p + 1 = 106
5p = 106 - 1
5p = 105
p = 105 / 5
p = 21
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Question 6(Multiple Choice Worth 2 points)
(Volume of Cylinders MC)
A helium tank shaped like a cylinder has 2,401π in3 of space inside the tank. If the diameter of the helium tank is 14 inches, what is its height?
49 inches
28 inches
12.25 inches
7 inches
The height of the helium tank is 49 inches.
What is Volume?Volume refers to the amount of space occupied by a three-dimensional object, measured in cubic units.
The volume V of a cylinder is given by the formula:
V = πr²h
where r is the radius of the base and h is the height of the cylinder.
Since the diameter of the helium tank is given as 14 inches, the radius r is half of the diameter, which is 7 inches.
We also know that the volume inside the tank is 2,401π cubic inches. Therefore, we can write:
2,401π = π(7)²h
Simplifying the right-hand side, we get:
2,401π = 49πh
Dividing both sides by 49π, we get:
h = 2,401π / 49π
Simplifying, we get:
h = 49
Therefore, the height of the helium tank is 49 inches.
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Answer:
49
Step-by-step explanation:
I took the test and got it right :)
I NEED HELP AND FAST
Answer:
-1 ⇒ -6
0 ⇒ -2
1 ⇒ 2
2⇒6
Step-by-step explanation:
[tex]G(3)=4^{2}[/tex]
Answer:
G = 5.333
Step-by-step explanation:
Given: G(3) = 4^2
3 times G is 3G:
3G = 4^2
4 squared is 16:
3G = 16
Divide both sides by 3:
G = 5.333
Find the sum of the polynomials (ax^2+2x-5) and (-2ax^2+a) and evaluate that sum when a=7 and x=-5
Answer:
29+3374=32483 that is the solution for the question
hope this helps <3
Solve the equation to: x/4 - 16 = (-32)
Thaink you all who answered this!!
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ght triangle and two of its side lengths are shown in the diagram.
12 cm
is the measurement of x?
39 cm
x cm
What is the question for -9 + b/3 = -3
Answer:-3
Step-by-step explanation:its just -9 + b/3 = -3 not even hard
13 A box is in the shape of a cuboid 32 cm by 20 cm by 8 cm.
Box
32 cm
Sam has 75 bricks.
Each brick is a cube of side length 4 cm.
Can Sam fit all 75 bricks into the box?
You must show how you get your answer.
8 cm
20 cm
Brick
4 cm
Answer:
Yes.
Step-by-step explanation:
Volume of box:
32 × 20 × 8 = 5,120 cubic centimeters
Volume of each brick:
4^3 = 64 cubic centimeters
5,120 ÷ 64 = 80 bricks
So Sam can fit all 75 bricks into the box.
Please help me did my homework for math
Answer:
1 = 128
2 = 52
3 = 52
4 = 128
5 = 128
6 = 52
7 = 52
8 = 128
Suppose that 2000$ is initially invested in an account at a fixed interest rate, compounded continuously. Suppose also that, after five years, the amount of money in the account is $2403 . Find the interest rate per year.
Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
% per year
Answer:
13400
Step-by-step explanation:
One diagonal of a rhombus is 4 in shorter than the other diagonal. The area of the diagonal is 10.5 in². Find the length of the longer diagonal.
So the length of the shorter diagonal is 3 inches. The length of the longer diagonal is 7 inches.
What is the rhombus about?Let d1 and d2 be the lengths of the longer and shorter diagonals, respectively. We know that d1 = d2 + 4, and that the area of the rhombus is given by A = (d1*d2)/2 = 10.5.
Substituting d1 = d2 + 4 into the area equation, we get:
(d2+4)*d2/2 = 10.5
Multiplying both sides by 2 and simplifying, we get:
d2²+ 4d2 - 21 = 0
Using the quadratic formula, we can solve for d2:
d2 = (-4 ± [tex]\sqrt{4^2-4(-21)}[/tex]/2
d2 = (-4 ± [tex]\sqrt{100}[/tex] /2
d2 = (-4 ± 10)/2
d2 = -7 or 3
Since the length of a diagonal cannot be negative, we reject the negative solution and conclude that d2 = 3. Therefore, d1 = d2 + 4 = 7, and the length of the longer diagonal is 7 inches.
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The volume of the rectangular prism below is 192 cubic centimeters.
Which equation can be used to find the height of the prism?
A.h=6⋅4
B.h=192÷
(6⋅4
)
C.h=192⋅6⋅4
D.h=192−
(6⋅4
)
Answer: B. h=192÷ (6⋅4)
Step-by-step explanation:
B. h=192÷ (6⋅4)
This equation can be used to find the height of the prism because the volume of a rectangular prism can be represented by the equation V = l*w*h, where l and w are the length and width, respectively, and h is the height. In this case, given that V=192, the equation h=192÷ (l*w) can be used to find the height, where l=6 and w=4.
−52 < 2 (3x -2) answers -10 -6 -8 -9
The value of the inequality for the expression is: x > -8
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, '>' , '<', '≥', '≤'
To solve the inequality, we need to isolate the variable, x.
We begin by simplifying the expression inside the parentheses:
2(3x - 2) = 6x - 4
Now we can substitute this expression into the original inequality:
-52 < 6x - 4
Add 4 to both sides:
-48 < 6x
Divide both sides by 6:
-8 < x
So the solution to the inequality is x > -8.
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Factor the following polynomial with a negative coefficient. -5x^(6)+15x^(4)+20x^(3)
The factored form of the polynomial is (5x^(3))(-x^(3)+3x+4).
To factor the polynomial with a negative coefficient, -5x^(6)+15x^(4)+20x^(3), we can use the content loaded factor method. This method involves factoring out the greatest common factor (GCF) of all the terms in the polynomial.
The GCF of -5x^(6), 15x^(4), and 20x^(3) is 5x^(3). So, we can factor out 5x^(3) from each term:
-5x^(6) = -(5x^(3))(x^(3))
15x^(4) = (5x^(3))(3x)
20x^(3) = (5x^(3))(4)
Now, we can rewrite the polynomial as:
-5x^(6)+15x^(4)+20x^(3) = (5x^(3))(-x^(3)+3x+4)
So, the factored form of the polynomial is (5x^(3))(-x^(3)+3x+4).
In summary, the polynomial -5x^(6)+15x^(4)+20x^(3) can be factored as (5x^(3))(-x^(3)+3x+4) using the content loaded factor method.
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What is the % of the votes did MRS Naido receive write the answers to theearst wholw%
Based on these numbers, M Venkaiah Naidu secured around 68% of the valid votes cast, while Gopalkrishna Gandhi received around 32%.
In the vice-presidential election, M Venkaiah Naidu received 516 valid votes, while his opponent Gopalkrishna Gandhi received 244 valid votes. The total number of valid votes cast was 760, which is the sum of the votes received by the two candidates.
It's worth noting that the 68% figure only represents the proportion of valid votes cast, which excludes any abstentions or spoiled ballots. Additionally, this percentage reflects the support M Venkaiah Naidu received among the MPs who voted and may not necessarily reflect the views of the general public or the broader electorate.
Overall, M Venkaiah Naidu's victory in the election was decisive, with a difference of 272 valid votes between him and Gopalkrishna Gandhi, which was greater than the latter's total number of votes.
Complete question:
According to BJP sources, around two dozen MPs from opposing parties disobeyed their leaders and supported M Venkaiah Naidu for vice president of the NDA. Against the estimated 495 votes of pledged support, Mr. Naidu received 516 votes.
With nearly 68% of genuine votes going to Venkaiah Naidu and 32% going to the opposition's Gopalkrishna Gandhi, who earned 244 votes, the difference between the two candidates was bigger at 272 than Mr. Gandhi's total.
What is the % of the votes did MRS Naido receive to write the answers to the east wholw%
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Which graph represents the solution for the open sentence 3|p|−5<7
?
Responses
Number line ranging from negative five to five. A line begins with an open point at negative four and continues to the left without end. A second line begins with an open point at four and continues to the right without end.
Image with alt text: Number line ranging from negative five to five. A line begins with an open point at negative four and continues to the left without end. A second line begins with an open point at four and continues to the right without end.
Number line ranging from negative five to five. A line begins with an open point at negative four and ends with an open point at four.
Image with alt text: Number line ranging from negative five to five. A line begins with an open point at negative four and ends with an open point at four.
Number line ranging from negative five to five. A line begins with a closed point at negative four and ends with a closed point at four.
Image with alt text: Number line ranging from negative five to five. A line begins with a closed point at negative four and ends with a closed point at four.
Number line ranging from negative five to five. A line begins with a closed point at negative four and continues to the left without end. A second line begins with a closed point at four and continues to the right without end.
The graph that represents the solution for the open sentence 3|p|−5<7 is:
What is graph?a diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables
: the collection of all points whose coordinates satisfy a given relation (such as a function)
: a collection of vertices and edges that join pairs of vertices
Number line ranging from negative five to five. A line begins with an open point at negative four and ends with an open point at four.
Image with alt text: Number line ranging from negative five to five. A line begins with an open point at negative four and ends with an open point at four.
In this graph, the open points at -4 and 4 indicate that the values of p that make the inequality true do not include -4.
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What is the highest value assumed by the loop counter in a correct for statement with the following header? for(i = 7; i <= 72; i += 7)
Select one:
a. 7
b. 70
c. 77
d. 72
The highest value assumed by the loop counter in a correct "for statement" with the given header is (b) 70.
The "for-statement" is ⇒for(i = 7; i <= 72; i += 7) ,
The loop starts with i = 7 and increases by 7 in each iteration until i becomes greater than 72.
So we can find the highest value of "i" assumed by the loop counter by solving the inequality i <= 72 for i.
⇒ i <= 72
Starting with i = 7 and increasing by 7 in each iteration,
We have,
⇒ i = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77
The last value of i in the sequence, 77, is greater than 72, so the loop counter stops before reaching 77.
So, the highest value assumed by the loop counter in this for statement is : 70.
Therefore, the highest value assumed by the loop counter is (b) 70.
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If 2x-1 is a factor of 24x^4 - 2x^2 +2x +f find f
If 2x-1 is a factor of 24x⁴ - 2x² +2x +f , the value of f is 1 - 2x.
Describe Long division?Synthetic division is a method of polynomial division used to divide a polynomial by a linear expression of the form x - a, where a is a constant. It is a shorthand way of performing long division for polynomials and is particularly useful when the divisor is of the form x - a, as it eliminates the need for writing out the full divisor in each step of the division process.
Since 2x-1 is a factor of the given polynomial, we know that it will divide exactly into the polynomial, leaving no remainder. Therefore, we can use polynomial long division to find the quotient when 24x⁴ - 2x² + 2x + f is divided by 2x-1:
12x³ + 5x² - 3x - f/2 + 1/4
____________________________________
2x - 1 | 24x⁴ + 0x³ - 2x² + 2x + f
- (24x⁴- 12x³)
----------------------
12x^3
- (12x³ - 6x^2)
----------------------
5x^2
- (5x² - 2.5x)
----------------------
2.5x
- (2.5x - f/4)
-----------------------
f/4 + 2x/4 - 1/4
Since there is no remainder, the last term in the quotient must be zero. Therefore:
f/4 + 2x/4 - 1/4 = 0
Simplifying and solving for f, we get:
f/4 = 1/4 - 2x/4
f = 1 - 2x
Therefore, f = 1 - 2x.
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50 points and mark brainly
Answer:
Step-by-step explanation:
Well first we know that there are 25 squares. If we use some quick arithmetic, we can find how much each square represents out of 100%:
100/25 = 4
100% divided by 25 squares represents 4% for each square in the diagram. If we want to cover 48%, we can use some algebra:
4s = 48
s = 12
We need to shade in 12 squares to cover 48% of the diagram.
Hopefully this explanation was thorough enough!
A soccer player scores 3 goals in 2 games.How many goals are they expected to score in 9 games?
Answer: I could be wrong but its either going to be 13.5 or 13.
Step-by-step explanation:
Answer:
13.5 goals
Step-by-step explanation:
We can use a ratio to solve
3 goals x
--------------- = -------------
2 games 9 games
Using cross products
3 * 9 = 2x
27 = 2x
Divide each side by 2
27/2 = x
13.5 goals
need help by tonight please help me
Write the following as an inequality
6 Is greater than w, and 1 is less than or equal to w
Use w only once in the inequality
What amount of excess reserves will Goldstar Bank now have as a result of this deposit?
Goldstar Bank will have $42,000 in excess reserves as a result of this deposit. These excess reserves can be used to make additional loans or investments.
When a customer makes a deposit in a bank, the bank is required to hold a certain percentage of that deposit as reserves. The reserve requirement is set by the central bank and is typically a percentage of the bank's total deposits.
In this case, the customer has deposited $50,000 into Goldstar Bank and the reserve requirement is 16 percent. This means that Goldstar Bank must hold 16 percent of the deposit as reserves and can loan out the remaining amount.
The amount of reserves that Goldstar Bank must hold is:
16% of $50,000 = 0.16 x $50,000 = $8,000
This means that Goldstar Bank can loan out:
$50,000 - $8,000 = $42,000
However, since the question asks for the number of excess reserves Goldstar Bank will have, we need to subtract the required reserves from the total reserves.
The total reserves after the deposit will be:
Required reserves = $8,000
Excess reserves = Total reserves - Required reserves = $50,000 - $8,000 = $42,000
Complete question:
Suppose that initially Goldstar Bank is completely "loaned up." A customer then deposits $50,000 into the bank. The reserve requirement is 16 percent.
1. What amount of excess reserves will Goldstar Bank now have as a result of this deposit?
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find the sum ( please help i need this done by tmrw!!)
Answer:
I CANT SEE THE OTHER NUMBER OML
Step-by-step explanation:
Find all values of m for which the equation has two complex (non-real ) solutions.
The answer of values of m for which the equation has two complex (non-real) solutions are all values greater than 1/8. In other words, m > 1/8
To find all values of m for which the equation has two complex (non-real) solutions, we need to use the discriminant of the quadratic formula.
The discriminant is the part of the quadratic formula under the square root: b²-4ac. If the discriminant is less than 0, then the equation will have two complex (non-real) solutions.
So, let's start by setting the discriminant to be less than 0:
b²-4ac < 0
Now, let's plug in the values from the equation into the discriminant. The equation is in the form ax²+bx+c=0, so we can plug in the values for a, b, and c:
(1)²-4(m)(2) < 0
Simplify:
1-8m < 0
Subtract 1 from both sides:
-8m < -1
Divide both sides by -8:
m > 1/8
So, the values of m for which the equation has two complex (non-real) solutions are all values greater than 1/8. In other words, m > 1/8.
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In a biology lab, a population of 100 bacteria reproduce by splitting.
Every hour, on the hour, each bacterium splits into two bacteria.
Write a sentence of the form " __is a function of __”
The number of bacteria produced is a function of time in hours.
What is a function?In Mathematics, a function simply refers to a mathematical expression which can be used for defining and showing the relationship that exist between two or more variables in a data set.
This ultimately implies that, a function typically shows the relationship between input values (x-values or domain) and output values (y-values or range) of a data set, as well as showing how the elements in a table are uniquely paired (mapped).
Based on the information provided above, we can reasonably infer and logically deduce that the bacteria's population increases with respect to time (number of hours).
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Use the graph to write the explicit rule of the arithmetic sequence.
Therefore , the solution of the given problem of graph comes out to be option A f(n) = 7 - 2(n-1)
What is a graph?Theoretical physicists use graphs to analytically chart or visually represent claims rather than values. A graph point typically depicts the relationship between any number of things. A specific type of non-linear train assembly made up of clusters and lines is known as a graph. Glue should be used to connect the networks, also referred as the boundaries. In this network, the nodes had the numbers 1, 2, 3, and 5, whilst edges had the numbers 1, 2, 3, and 4, as well as the numbers (2.5), (3.5), (4.5), and yet also (4.5). (4.5).
Here,
We can use the following method to determine the general term of an arithmetic series:
=> f(n) = a + (n-1)d
where the usual difference is "d" and "a" is the first term.
Since the series begins at 7, "a" is 7, as shown by the graph. Additionally, since each term reduces by 2, we can see that the common difference is 2.
Consequently, the following is the arithmetic sequence's stated rule:
A) f(n) = 7 - 2(n-1)
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some1 pls help me 7 th grade question
Answer:
Step-by-step explanation:
plug in 9 for n
2(n+4) becomes 2(9+4) = 26
Answer:
Step-by-step explanation: i think 26???
2. For each of the following matrices \( A \in M_{n \times n}(R) \), test \( A \) for diagonalizability, and if \( A \) is diagonalizable, find an invertible matrix \( Q \) and a diagonal matrix \( D
Matrix A is diagonalizable
Yes, it is possible to test a matrix \( A \in M_{n \times n}(R) \) for diagonalizability. If \( A \) is diagonalizable, then there exists an invertible matrix \( Q \) and a diagonal matrix \( D \) such that \( A = Q D Q^{-1}\). To find these matrices, we can use the following steps:
1. Find the characteristic polynomial \( p(\lambda) \) of \( A \).
2. Find the eigenvalues of \( A \) by solving \( p(\lambda) = 0 \).
3. Find the corresponding eigenvectors for each eigenvalue of \( A \).
4. Construct the matrix \( Q \) as a matrix whose columns are composed of the eigenvectors of \( A \).
5. Construct the diagonal matrix \( D \) by placing the eigenvalues of \( A \) along the diagonal entries.
6. Check that \( A = Q D Q^{-1} \).
If these steps all check out, then \( A \) is diagonalizable.
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