The width of the banner is 8 feets
The banner is in the shape of a rectangle
The length of the banner or the rectangle is 20 feet
the length of the banner or the rectangle is 2.5 times the width
So here we need to find out the value of width of the banner or the rectangle in feets
Let us assume the width of the banner or the rectangle to be x feets
So, the length of the banner or the rectangle would become 2.5 x
by solving this simple linear equation 20 = 2.5x
\(\frac{20}{2.5}\) = x
so the value of x appears to be 8 feets
hence, the width of the banner is 8 feets
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Which number should be added to
both sides of this quadratic equation
to complete the square?
(-3/2)² + 1 = x² − 3x + (-3/2)²
Answer:
9/4
Step-by-step explanation:
You want to know the value required to complete the square in the equation 1 = x² -3x.
PictureYour picture shows the required value: (-3/2)² = 9/4.
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Help on #12 please
The diagonals of rhombus PQRS intersect at T
The missing measures by using the rhombus LMNO graphic is, 90° is the measure of LPM,the PMN measurement is 102°, LN is 10 units in length.
Rhombus definition?A rhombus is a unique type of quadrilateral with four sides that is similar to a parallelogram. In a rhombus, the opposing sides are parallel and the opposing angles are equal.
LMNO LON = 102° NP = 5 units for a rhombus.
According to the rhombic characteristics, all of the sides are congruent (equal), hence LM = MN = NO = OL and the opposite angles are also equal, and the opposite sides are parallel.
Therefore, LON = 102° = LMN.
Since adjacent angles add up to 180 degrees.
L + M thus equals 180 degrees.
∠M + ∠N = 180°
∠N + ∠O = 180°
∠O + ∠L = 180°
So, ∠N = 180° - ∠O = 180° - 102° =78°
∠L = 180° - ∠O = 180° - 102° =78°
∠M = 180° - ∠L = 180° - 78° =102°
Alternatively, we can say that each of the two diagonals in a rhombus is the perpendicular bisector of the other. Diagonals bisect each other at an angle of 90°.
Thus, LPM = NP0 = MPN = LPO = 90 degrees.
So, 90° is the measure of LPM.
The PMN measurement is 102°.
LN is 10 units in length.
The completre question is,
Rhombus LMNO has mLON = 102° and NP = 5 units.
The Rhombus L M N O is depicted. Drawn as parallel lines, they connect at point P and extend from point L to point N and from point M to point O, respectively. Congruence exists on every side.
You may locate the missing measures by using the rhombus LMNO graphic.
° is how much LPM is measured.
° is used to measure PMN.
Units are the length of LN
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How to find area of 1 ???
Answer: 1 What???
Step-by-step explanation:
Help! What's the answer?
The given expression √10 and √26 are irrational numbers.
The sum of √10 and √26 cannot be simplified because the two numbers are not like terms. However, we can estimate the value of the sum by using the fact that the square root of a number is between two consecutive perfect squares.
For √10, we know that 9 < 10 < 16, so √10 is between 3 and 4. For √26, we know that 25 < 26 < 36, so √26 is between 5 and 6. Therefore, we can estimate the sum of √10 and √26 to be between 8 and 10.
To get a more precise value, we can use a calculator to evaluate the sum of √10 and √26. Using a calculator, we find that the sum of √10 and √26 is approximately 7.051. Therefore, we can describe the sum of √10 and √26 as a decimal number that is approximately 7.051.
Alternatively, we can write the sum of √10 and √26 as a simplified radical expression. To do this, we need to combine the two radical terms into a single term using the distributive property of multiplication. We have:
√10 + √26 = √(10 × 1) + √(26 × 1) = √10 × √1 + √26 × √1 = √10 + √26
Therefore, we cannot simplify the sum of √10 and √26 any further, and we can describe it as the sum of two irrational numbers.
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What is the perimeter of the triangle?
2(x+3)
6x
4(x – 10)
Answer:
Step-by-step explanation:
12x-34
Add all the sides together
2(x+3) + 6x + 4(x – 10)
distribute:
2x+6 + 6x + 4x-40
and add:
12x-34
A grocery store worker is checking for broken eggs in
egg cartons. Each carton of eggs contains 12 eggs. He checks 4 cartons and finds 8 broken eggs. Based on these results. what can the worker predict about the rest of the cartons of eggs?
A) 6 cartons of eggs will contain 4 more broken eggs than 4 cartons.
B) 8 cartons of eggs will contain 12 more broken eggs than 4 cartons.
C) 10 cartons of eggs will contain 8 more broken eggs than 4 cartons.
D) 12 cartons of eggs will contain 14 more broken eggs than 4 cartons.
10 cartons of eggs will contain 8 more broken eggs than 4 cartons if a grocery store worker is checking for broken egg cartons. Each carton of eggs contains 12 eggs. He checks 4 cartons and finds 8 broken eggs.
Assuming that the proportion of broken eggs in the sampled cartons is representative of the entire batch of cartons, the worker can use this information to predict the number of broken eggs in the rest of the cartons.
The worker checked 4 cartons of eggs, each with 12 eggs, for a total of 4 x 12 = 48 eggs. Out of these 48 eggs, 8 were found to be broken.
To estimate the number of broken eggs in the rest of the cartons, the worker can use proportionality. The proportion of broken eggs in the sample is 8/48 = 1/6. Therefore, the worker can predict that out of the marginal cost remaining cartons of eggs, 1/6 of the eggs will be broken.
The closest option is C, which predicts that there will be 16 broken eggs in 10 cartons, which is 8 more broken eggs than in the 4 cartons the worker checked. This implies an average of 2 broken eggs per carton, which is consistent with the prediction of 2x broken eggs in the remaining cartons. Therefore, option C is the best answer.
which one is the missing symbol.
4/5 ? 1/2
A. >
B. <
C. =
The correct symbol in between numbers is,
⇒ 4/5 > 1/2
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The numbers are,
⇒ 4/5 and 1/2
Now, We can make denominator equal as;
LCM of 5, 2 = 10
Hence, We get;
⇒ 4/5
⇒ 8/10
⇒ 1/2
⇒ 5/10
Thus, We get;
⇒ 4/5 > 1/2
Therefore, The correct symbol in between numbers is,
⇒ 4/5 > 1/2
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What is the solution of startroot x 12 endroot = x? x = –3 x = 4 x = –3 or x = 4 no solution
An equation is formed of two equal expressions. The solution of the equation √(x+12)=x is x=4.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the equation √(x+12)=x can be done as,
\(\sqrt{x+12} = x\\\\\text{Square both the sides of the equation}\\\\x+12=x^2\\\\x^2-x-12=0\\\\x^2-4x+3x-12=0\\\\x(x-4)+3(x-4)=0\\\\(x-4)(x+3)=0\)
Equate each of the factors with 0,
\((x-4)=0\\x=4\\\\(x+3)=0\\x=-3\)
Now, if we substitute the value of x in the equation given, only the value of x as 4 will satisfy the equation.
Thus, the solution of the equation √(x+12)=x is x=4.
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On a coordinate plane, a curved line with minimum values of (negative 2, 0) and (1.05, negative 41), and a maximum value of (negative 0.5, 5), crosses the x-axis at (negative 2, 0), (0, 0), and (1.5, 0), and crosses the y-axis at (0, 0).
Which statement is true about the end behavior of the graphed function?
As the x-values go to positive infinity, the function’s values go to positive infinity.
As the x-values go to zero, the function’s values go to positive infinity.
As the x-values go to negative infinity, the function’s values are equal to zero.
As the x-values go to negative infinity, the function’s values go to negative infinity.
The statement which is true about the end behaviour of the graphed function is; As the x-values go to positive infinity, the function’s values go to positive infinity.
Which statement is true about the end behaviour of the graphed function?The graph given according to the task content is described to have its first minimum at (-2,0), and then a maximum at; (-0.5, 5) and finally a minimum at; (1.05, -41).
Additionally, since the graph has 3 zeroes as given, it follows that the graph is that of a cubic function which takes the w-form.
Consequently, it can be inferred from the statements above that; As the x-values go to positive infinity, the function’s values go to positive infinity.
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Answer:
A
Step-by-step explanation:
edge 23
A design is made using twice as many large beads as small beads.
The mass of each large bead is 120 milligrams.
The mass of each small bead is 80 milligrams.
The total mass of all the beads used is 32 grams.
How many beads are used in total to make the design?
Answer:
When the remainder theorem is applied to the total number of beads, the number of beads left is 3
Step-by-step explanation:
The number of beads used in each design are given as:
Calculate the total number of beads used for all three designs
The number of available beads is:
Divide 750 by 83, to get the total number of designs
Remove decimal (do not approximate)
The number of beads remaining is calculated using:
Hence, there are 3 beads remaining
6. what are the two most generic and widely used valuation multiples?
The two most generic and widely used valuation multiples in finance and investment analysis are the price-to-earnings (P/E) ratio and the enterprise value-to-earnings before interest, taxes, depreciation, and amortization (EV/EBITDA) multiple.
1. Price-to-Earnings (P/E) Ratio: The P/E ratio is calculated by dividing the market price per share of a company's stock by its earnings per share (EPS). It provides a measure of how much investors are willing to pay for each dollar of earnings generated by the company.
A high P/E ratio suggests that investors have high expectations for future growth and are willing to pay a premium for the stock. On the other hand, a low P/E ratio may indicate that the stock is undervalued or that investors have low expectations for future growth.
2. Enterprise Value-to-EBITDA (EV/EBITDA) Multiple: The EV/EBITDA multiple is calculated by dividing the enterprise value (EV) of a company by its earnings before interest, taxes, depreciation, and amortization (EBITDA).
The EV is the total market value of a company's equity and debt, minus its cash and cash equivalents. EBITDA represents the company's operating earnings before accounting for interest, taxes, depreciation, and amortization.
The EV/EBITDA multiple is commonly used in evaluating the valuation of companies, especially in the context of mergers and acquisitions. It provides a measure of a company's overall value relative to its earnings, without being affected by capital structure or tax considerations.
Both the P/E ratio and EV/EBITDA multiple are widely used because they are relatively easy to calculate and understand. However, it's important to note that these multiples have limitations and should be used in conjunction with other valuation methods and qualitative analysis to make informed investment decisions.
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What is the answer to this
What values of b satisfy 3(26 + 3)² = 36?
The numeric value of the b is 0.23 which satisfy the given equation.
According to the statement
We have to find that the value of the b.
So, For this purpose, we know that the
The numeric value refers to the worth of each digit depending on where it lies in the number.
From the given information:
The equation is a
3(2b + 3)² = 36
then to find the value of b rearrange the terms then
(2b + 3)² = 12
(2b + 3) = \sqrt{12}
(2b) = \sqrt{12} -3
then
b = \sqrt{12} -3/ 2
b = 3.46 - 3/2
b = 0.46/2
b = 0.23.
So, The numeric value of the b is 0.23 which satisfy the given equation.
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find a number such that when 3/4 of it is added to 3½the sum is the same as when 2/3 of it is subtracted from 6½. PLEASE HELP
Answer:
- 120
Step-by-step explanation:
call x is the number you want to find
(3/4 )x + 3\(\frac{1}{2}\) = (2/3)x - 6\(\frac{1}{2}\)(3/4)x + (7/2) = (2/3)x - (13/2)(3/4)x - (2/3)x = - (13 /2) - (7/2)(1/12)x = -10x = -10 / (1/12) = -120Given A(2,14), B(2,3), C(4,2), and D(14,2) what is the distance of CD?
Answer: CD = 10
Step-by-step explanation:
Subtract the smaller one from the larger one.
D(14, 2) - C(4, 2)
First, you subtract the x-values:
14 - 4 = 10
Then, you subtract your y-values:
2 - 2 = 0
Since the y-value is 0 (since it is a straight line), your distance of CD is 10.
Hope this helps!
Sandy used a virtual coin toss app to show the results of flipping a coin 100 times , 500 times , 1,000 times. elxolain what most likely happened in Sandy’s experiment
Help! I can’t find the answer anywhere!
Answer:
wowza
Step-by-step explanation:
that looks hard
PLS HELP! A rectangle has a height of 2 and a width of 5x^2-2x+3. Express the area of the entire rectangle. Expression should be expanded.
Answer:
Expanded expression of the area of the rectangle = 10x² - 4x + 6 square units
Step-by-step explanation:
Area of a rectangle = Length × Width
Area of the rectangle = 2 × (5x² - 2x + 3)
= 2 × 5x² - 2× 2x + 2×3
= 10x² - 4x + 6 square units
Which table contains only corresponding x-values and y values where the value of y is 3 more than the quotient of x and 2?
Answer:
B
Step-by-step explanation:
7/2=3.5
6.5-3.5=3
10/2=5
5+3=8
14/2+3=10
17/2+3=11.5
Help me please!!!, HELP AND CAN YOU EXPLAIN
Answer:
D
Step-by-step explanation:
It's D because 60 +70 +(180-130)=180
= 60+70+50=180
The table shows the number of tennis balls that fit into a given number of cans
Answer:
wheres the table?
i cant see the table
solve the following system of equations using the elimination method. 4x 2y = 12 4x 8y = –24 question 14 options: a) (8,–2) b) (–4,6) c) (–8,4) d) (6,–6)
To solve the system of equations using the elimination method, we need to eliminate one of the variables by adding or subtracting the equations. In this case, we can eliminate the variable "x" by subtracting the equations.
Given system of equations:
1) 4x + 2y = 12
2) 4x + 8y = -24
To eliminate "x," we'll subtract equation 1 from equation 2:
(4x + 8y) - (4x + 2y) = -24 - 12
4x - 4x + 8y - 2y = -36
6y = -36
Now, we can solve for "y" by dividing both sides of the equation by 6:
6y/6 = -36/6
y = -6
Now that we have the value of "y," we can substitute it back into one of the original equations. Let's use equation 1:
4x + 2(-6) = 12
4x - 12 = 12
4x = 12 + 12
4x = 24
Divide both sides by 4 to solve for "x":
4x/4 = 24/4
x = 6
Therefore, the solution to the given system of equations is (x, y) = (6, -6).
The correct answer is d) (6, -6).
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(WILL GIVE BRAINIEST) A collage artist makes art out of real-life objects. She has three pieces of bamboo that measure 4 inches, 5 inches and 7 inches. If she makes a triangle out of the pieces will it be right, acute or obtuse triangle?
If the artist makes a triangle from three pieces of bamboo that measure 4 inches, 5 inches and 7 inches. The triangle will not be a right triangle because the values are not Pythagorean triple
What is Pythagorean triple?Pythagorean triples are b² + a² = c² where b, a and c are all positive integers.
These triples are represented as (b, a, c).
Here, b is perpendicular (or right angel) to a, a is the base and the hypotenuse of the right - angled triangle is labeled .
The most known and smallest triplets are (3, 4, 5).
In the problem, the values 4 inches, 5 inches and 7 inches cannot make a Pythagorean triple since
c² = 4² + 5²
c² = 16 + 25
c² = 41
c = √41 ≠ 7
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If the diameter of a circle is 14 cm then find its 22 circumference.
Answer:
44cm
Step-by-step explanation:
Since, diameter d=14cm
C=πd= 22/7 ×14= 44cm
X/5 + 9 = 5
Please add steps if possible
THANK YOUUU!!
Answer:
\(x=-20\)
Step-by-step explanation:
We solve this by isolating the \(x\) on one side, and the numbers on the other.
\(\frac{x}{5} +9=5\)
\(\frac{x}{5} +9-9=5-9\)
\(\frac{x}{5}=-4\)
\(\frac{x}{5}*5=-4*5\)
\(x = -20\)
Answer:
\(\boxed {x = -20}\)
Step-by-step explanation:
Solve for the value of \(x\):
\(\frac{x}{5} + 9 = 5\)
-Multiply both sides by \(5\):
\(5 \times \frac{x}{5} + 9 = 5 \times 5\)
\(x + 45 = 25\)
-Subtract both sides by \(45\):
\(x + 45 - 45 = 25 - 45\)
\(\boxed {x = -20}\)
Therefore, the value of \(x\) is \(-20\).
What is the equation of the line that passes through the point (-3,7) 1/3?
This a point-slope equation of a line problem.
The point-slope form of an equation of a line is given by the equation:
\(\begin{gathered} y-y_1=m(x-x_1) \\ \text{where:} \\ (x_1,y_1)\text{ is one point on the line} \\ m\text{ is the slope} \end{gathered}\)From the provided information, we have:
\(\begin{gathered} m=\frac{1}{3} \\ one\text{ point (-3,7)} \\ x_1=-3;y_1=7 \end{gathered}\)Thus, the equation of the line is:
\(\begin{gathered} y-7=\frac{1}{3}(x-(-3)) \\ y-7=\frac{1}{3}(x+3) \\ \text{cross}-\text{multiply} \\ 3(y-7)=x+3 \\ 3y-21=x+3 \\ 3y=x+3+21 \\ 3y=x+24 \\ y=\frac{x+24}{3} \\ y=\frac{x}{3}+\frac{24}{3} \\ y=\frac{x}{3}+8 \end{gathered}\)Hence, the equation of the line is:
\(y=\frac{x}{3}+8\)a certain species of virulent bacteria is being grown in a culture. it is observed that the rate of growth of the bacterial population is proportional to the number present. if there were 4000 bacteria in the initial population and the number doubled after the first 60 minutes, how many bacteria will be present after 4 hours? 63,000 62,000 64,000 66,000 67,000 none of the above.
The rate of bacterial population increase is related to the size of the current population. If there were initially 4,000 people present, there will be 8,000 people present in 60 minutes. The number of bacteria will reach 63,000 after 4 hours.
1. There are 4000 bacteria in the initial population.
2. The number of bacteria doubles to 8000 after 60 minutes.
3. There are 16000 bacteria after two hours.
4. There are 32000 bacteria after three hours.
5. There are 63000 bacteria after 4 hours.
A particular kind of virulent bacteria's rate of growth in a culture is being investigated. It has been noted that the bacterial population's growth rate is related to the quantity present. It is possible to compute that 63,000 bacteria will be present after 4 hours if the starting population of 4000 bacteria quadrupled during the first 60 minutes. The original population can be multiplied by 2 every hour to determine this. The population will double to 8,000 after the first hour. By the end of the second hour, there will be 16,000 people living there. The population will double to 32,000 after the third hour. By the end of the fourth hour, there will be 63,000 people living there. Consequently, there will be 63,000 germs total in the environment after 4 hours. As the population of the bacteria in the culture doubles every hour, this demonstrates their exponential growth rate.
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find the area between a large loop and the enclosed small loop of the curve r = 2 + 4 cos(3θ).
Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.
To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.
Setting the equation of the curve equal to itself, we have:
2 + 4cos(3θ) = 2 + 4cos(3(θ + π))
Simplifying and solving for θ, we get:
cos(3θ) = -cos(3θ + 3π)
cos(3θ) + cos(3θ + 3π) = 0
Using the sum to product formula, we get:
2cos(3θ + 3π/2)cos(3π/2) = 0
cos(3θ + 3π/2) = 0
3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...
Solving for θ, we get:
θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6
We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.
To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.
Using the formula for the area enclosed by a polar curve, we have:
A = 1/2 ∫[a,b] (r(θ))^2 dθ
where a and b are the angles of intersection.
For the small loops, we have:
A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ
Using trigonometric identities, we can simplify this to:
A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ
Evaluating the integral, we get:
A1 = 10π/3
For the large loops, we have:
A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)
Using the same trigonometric identities, we can simplify this to:
A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)
Evaluating the integrals, we get:
A2 = 80π/3
Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:
A = A2 - A1 = (80π/3) - (10π/3) = 70π/3
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1. Use the spinner at the right, which is divided into equal sections, to detemine the following probability. P(brown or greater than 9)
2. Using a green number cube and a blue number cube, find the following probability. P(green less than 9 and blue greater than 3)
3. You choose a tile at random from a bag containing 5 A's, 2 B's, and 3 C's. You replace the first tile in the bag and then choose again. Find P(C and C). Question content area bottom Part 1 P(C and C)=enter your response here
4. You pick a coin at random from the set shown at the right, and then pick a second coin without replacing the first. Find the probability. P(penny then nickel)
Using it's concept, the probability is calculated as follows:
P(brown or greater than 9) = 3/5.
What is a probability?The probability of an event in an experiment is calculated as the number of desired outcomes of the experiment divided by the number of total outcomes of the experiment.
In the context of this problem, we have that:
The desired outcomes are the five brown regions, plus the green region with the number 10, which is a number greater than 9.The total outcomes are the 10 regions of the spinner.The desired probability is calculated as follows:
P(brown or greater than 9) = 6/10 = 3/5.
Both 6 and 10 can be simplified by 5, hence the simplified probability is of 3/5.
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a. What is the nth fraction in the following sequence? 2
1
, 4
1
, 8
1
, 16
1
, 32
1
,… b. What is the sum of the first n of those fractions? To what number is the sum getting closer and closer? Two forces, A=80 N and B=44 N, act in opposite directions on a box, as shown in the diagram. What is the mass of the box (in kg ) if its acceleration is 4 m/s 2
?
A)an = 2*2^(n-1)`. B) `The sum of the first n fractions is `2*(2^n - 1)`.
a. The sequence is a geometric sequence with the first term `a1 = 2` and common ratio `r = 2`.Therefore, the nth term `an` is given by:`an = a1*r^(n-1)`
Substituting `a1 = 2` and `r = 2`, we have:`an = 2*2^(n-1)`
b. To find the sum of the first n terms, we use the formula for the sum of a geometric series:`S_n = a1*(1 - r^n)/(1 - r)
`Substituting `a1 = 2` and `r = 2`, we have:`S_n = 2*(1 - 2^n)/(1 - 2)
`Simplifying:`S_n = 2*(2^n - 1)
`The sum of the first n fractions is `2*(2^n - 1)`.As `n` gets larger and larger, the sum approaches `infinity`.
Thus, the sum is getting closer and closer to infinity.
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