Answer:
b ll c
Step-by-step explanation:
ycgjgjccgkcgjgcjgjcgjggcjgjctj
Answer:
alc?
Step-by-step explanation:
A pool measuring 18 meters by 20 meters is surrounded by a path of uniform width, as shown in the figure. If the area of the pool and the
path combined is 1520 square meters, what is the width of the path?
18
20
20+ 2x
18+2x
By solving a quadratic equation we can see that the width of the path measures 20 meters.
How to find the width of the path?
We know that the pool measures 18 meters by 20 meters, then the area of the pool alone is:
A = 18m*20m = 360 m^2
Now, if the path has a width x, then the rectangle that includes the path and the pool has dimensions:
(18m + 2x) and (20m + 2x)
And its area is given by:
(18m + 2x)*(20m + 2x)
And we know it is equal to 1520 m^2, then (i'm not writting the units in the computation):
(18 + 2x)*(20 + 2x) = 1520
360 + 4x^2 + 76x = 1520
Now we just need to solve that quadratic equation:
4x^2 + 76x - 1520 + 360 = 0
4x^2 + 76x - 1160 = 0
The solutions are:
x = (-76 ± √(76^2 - 4*4*(-1160))/(2*4)
x = (-76 ± 156)/4
We only care for the positive solution, which gives:
x = (-76 + 156)/4 = 20
We conclude that the width of the path measures 20 meters.
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Suppose you are going to draw two cards from a standard deck without replacement. What is the probability that the first card is an Ace and the second card is a Jack?
Answer:
4/663
Step-by-step explanation:
1/13 = probability of ace (as 1st card)
4/51 = probability of jack (as 2nd card) -->
4/663
The probability that the first card is an Ace and the second card is a Jack without replacement will be 0.00603318 or 4/663.
What is probability?The probability of an event occurring is defined by probability.
Probability is also known as chance because, if you flip a coin, the likelihood that it will land on its head or tail is nothing more than the chance that either the head or the tail will occur.
In our daily time, there are several instances in the everyday world where we may need to draw conclusions about how everything will turn out.
Without replacement will be dependent events.
Probability of dependent events
P(A and B) = P(A) × P(B/A).
Probability of the first card as Ace = 4/52 ( 4 are Aces out of 52 cards)
Probability of the second card as jack = 4/51 ( since 1 ace has been removed)
P( Ace and Jack ) = 4/52 × 4/51 = 4/663 = 0.00603318
Hence the probability that the first card is an Ace and the second card is a Jack will be 0.00603318.
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convert the following measurements into
the indicated units
1.) 100 m^2
– as ft^2
2.) 2 km _____ ft
3.)2,057 grams - as kg
4.) 1.25 × 10-7 meters - as µm
5.) 6.58 × 104 meters - as km
6.) 2.78 × 10-1 grams - as mg
Answer:
1) 1076.4ft^2
2). 6561.68ft
3). 2.057kg
4). 1.25×10^-1
5). 6.58×10^1km
6). 278mg
16. You roll a 6-sided die. What is the probability that the value of the roll will be one?
Answer:
1/6
Step-by-step explanation:
There are six sides on the die, and there is only "1" side of the die. Take the total amount of sides, 6, and make that the denominator. Then take one "1" side and make that the numerator, therefore 1/6.
Answer:
Step-by-step explanation:
1 out of six because their are six possible sides to roll on and only one side has a one
What is the best approximation of the standard deviation of 10, 15, 20, 25, 30? a. 5 b. 7.5 c. 10
The standard deviation measures the diversion of a bit of data from its mean. A standard divagation in the range of 10, 15, 20, 25, and 30 is option B,7.5.
Standard deviation is a measure that measures a security's volatility. This indicates that the values are close to the reported mean, while a large standard diversion indicates that the worths are spread over a outsize range.The more data you stream, the advanced the standard deflection of that data
The mean of {10,15,20,25,30} is
= 10+15+20+25+30
5
= 100
5
= 20
There are deviations from the mean
{−10,−5,0,5,10} and is the square of the deviations
{100,25,0,25,100} and the average spread is
= 100+25+0+25+100
5
= 50 and the standard deviation is
√50=7.071
So, the standard divagation of thrust is 7.071. Then the stylish approximation is7.5.
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While unwrapping his birthday present, Marcos was very careful to not tear any gift-wrap. When he was done, he laid the gift-wrapping paper flat like shown. Assuming there was no overlapping paper, what was the Total Surface Area of the box his present was in?
How many solutions does −6(x+7)=−4x−2 have?
Answer:
Im pretty sure just one
x= -20
Step-by-step explanation:
PLEASE HELP ASAP!! I WILL GIVE BRAINLIEST. Coleen read 159 pages of a book. This number represents 75% of the number of pages in the book. What is the total number of pages in the book.
11 x 4.5
help asap!!!
A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top. (a) Express the volume V of the box as a function of x. V = cm^3 (b) Give the domain of V in interval notation. (Use the fact that length and volume must be positive.) = ? (c) Find the length L , width W, and height H of the resulting box that maximizes the volume. (Assume that W < or = to L ) L= ?cm W= ?cm H= ? cm (d) The maximum volume of the box is ? cm^3.
(a) The volume V of the box as a function of x is V = 4x^3-60x^2+200x
(b) The domain of V in interval notation is 0<x<5,
(c) The length L , width W, and height H of the resulting box that maximizes the volume is H = 2.113, W = 5.773, L= 15.773
(d) The maximum volume of the box is 192.421 cm^2.
In the given question,
A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.
(a) We have to express the volume V of the box as a function of x.
If we cut out the squares, we'll have a length and width of 10-2x, 20-2x respectively and height of x.
So V = x(10-2x) (20-2x)
V = x(10(20-2x)-2x(20-2x))
V = x(200-20x-40x+4x^2)
V = x ( 200 - 60 x + 4x^2)
V = 4x^3-60x^2+200x
(b) Now we have to give the domain of V in interval notation.
Since the lengths must all be positive,
10-2x > 0 ≥ x < 5 and x> 0
So 0 < x < 5
(c) Now we have to find the length L , width W, and height H of the resulting box that maximizes the volume.
We take the derivative of V:
V'(x) = 12x^2-120x+200
Taking V'(x)=0
0 = 4 (3x^2-30x+50)
3x^2-30x+50=0
Now using the quadratic formula:
x=\(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
From the equationl a=3, b=-30, c=50
Putting the value
x=\(\frac{30\pm\sqrt{(-30)^2-4\times3\times50}}{2\times3}\)
x= \(\frac{30\pm\sqrt{900-600}}{6}\)
x= \(\frac{30\pm\sqrt{300}}{6}\)
x= \(\frac{30\pm17.321}{6}\)
Since x<5,
So x= \(\frac{30-17.321}{6}\)
x= 2.113
So H = 2.113, W = 5.773, L= 15.773.
d) Now we have to find the maximum volume of the box.
V = HWL
V= 2.113*5.773*15.773
V = 192.421 cm^3
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Solve for the value of a.
Answer: A= pp popo
Step-by-step explanation:
Answer: a = 22
Step-by-step explanation:
(2a + 3) +(6a +1 ) = 180
8a + 4 = 180
-4 -4
8a = 176
8 8
a = 22
They are supplementary angles, so they add up to 180 degrees.
Given that La=-10x-48° and
b
a
7
F
rti
The calculated value of x in the angles is -8
How to calculate the values of xFrom the question, we have the following parameters that can be used in our computation:
The angles
Also, we have
A = -10x - 48
B = -4x
The angles are vertical angles
So, we have
A = B
Substitute the known values in the above equation, so, we have the following representation
-4x = -10x - 48
Evaluate the like terms
6x = -48
So, we have
x = -8
Hence, the value of x is -8
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-3.7 _____-4.3
What is the answer if I'm comparing?
Answer:
-3.7>-4.3
Step-by-step explanation:
Point B is on line segment AC. Given AB = 2x + 10, BC = x, and AC = 5x,
determine the numerical length of AC.
Answer:
x = 5 segment AC = 25
Step-by-step explanation:
if 'A' to 'B' is 2x + 10 and 'B' to 'C' is x, then we need to add those values together to get from 'A' to 'C'
2x + 10 + x = 5x
add the 'x' values
3x + 10 = 5x
then subtract the '3x's from both sides
10 = 2x
finally, divide both sides by two
5 = x
meaning.....
5 • 5 (for the 5x) is equal to 25
Can someone please help me with this
As $n$ ranges over the positive integers, what is the maximum possible value that the greatest common divisor of $13n 8$ and $5n 3$ can take
Therefore , the solution of GCD problem comes out to be the greatest common factor of 252 and 60 is 223 = 12.
What is Greatest common divisor?The number that divides two or more numbers most precisely by itself is said to be the largest common denominator (GCD) of those numbers. It is also known as the highest common denominator (HCF). Since both 15 and 10 can be divided by 5, for instance, the highest common factor of these two numbers is 5.
Here,
The highest common factor (hcf), greatest common factor, and the greatest common divisor (gcd) are other names for it (gcf).
The highest integer which divides both numbers is known as the largest common series of 2 numbers.
We must choose the number that divides 252 and 60 most equally.
252's prime factorization is as follows:
252 = 2×2×3×3×7
the prime factors that make up 60 are.
60 = 2×2×3×5
These common elements are: 2 2 3
Therefore, the greatest common factor of 252 and 60 is 223 = 12.
Therefore , the solution of GCD problem comes out to be the greatest common factor of 252 and 60 is 223 = 12.
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How to write a linear equation given two points or a slope and a point?
Answer: Given two points on a line, we can write an equation for that line by finding the slope between those points, then solving for the y-intercept in the slope-intercept equation y=mx+b.
Step-by-step explanation:
please need brainliest
(x-2)(x-1)= in standard form
Answer:
\(x^{2} -3x+2\)
Step-by-step explanation:
Substitute the value for the variable with the number given and solve.
11b - 65 =
Substitute 6 for b
Answer:
1
Step-by-step explanation:
11(6) - 65
66 - 65
1
which method represents a correct way to solve the equation 2(t−5)=48?
The solution to the equation 2(t - 5) = 48 is t = 29.
To solve the equation 2(t - 5) = 48, we can use the following steps:
Distribute the 2 to the terms inside the parentheses:
2t - 10 = 48
Add 10 to both sides of the equation to isolate the variable term:
2t = 58
Divide both sides of the equation by 2 to solve for t:
t = 29
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HELPP PLZZ
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
Answer:
f(x) = x² - 9x + 18
General Formulas and Concepts:
Algebra I
Standard Form: ax² + bx + c = 0Binomial Roots: (x + a)(x + b)(x + c)(x + ...)Expanding by FOIL-ing (First, Outside, Inside, Last)Step-by-step explanation:
Step 1: Define
Zeros/Roots x = 3, 6
Step 2: Find Function
Rewrite Binomial Roots: f(x) = (x - 3)(x - 6)Expand by FOIL-ing: f(x) = x² - 6x - 3x + 18Combine like terms (x): f(x) = x² - 9x + 18let ⊂ , ⊂ be any two disjoint events such that: P() = 0.4, P( ∪ ) = 0.7. Find: ) P( c). ii) P( c ), iii)probability that exactly one of the events A,B occurs
The proababilities are: i) P(Aᶜ) = 0.6, ii) P(Bᶜ) = 0.4
iii) Probability that exactly one of the events A, B occurs = 0.7
Let A and B be any two disjoint events such that P(A) = 0.4 and P(A ∪ B) = 0.7. We need to find the following probabilities:
i) P(Aᶜ): This is the probability of the complement of event A, which represents the probability of not A occurring. Since A and B are disjoint, Aᶜ and B are mutually exclusive and their union covers the entire sample space.
Therefore, P(Aᶜ) = P(B) = 1 - P(A) = 1 - 0.4 = 0.6.
ii) P(Bᶜ): This is the probability of the complement of event B, which represents the probability of not B occurring. Since A and B are disjoint, Bᶜ and A are mutually exclusive and their union covers the entire sample space.
Therefore, P(Bᶜ) = P(A) = 0.4.
iii) Probability that exactly one of the events A, B occurs: This can be calculated by subtracting the probability of both events occurring (P(A ∩ B)) from the probability of their union (P(A ∪ B)).
Since A and B are disjoint, P(A ∩ B) = 0.
Therefore, the probability that exactly one of the events A, B occurs is P(A ∪ B) - P(A ∩ B) = P(A ∪ B) = 0.7.
To summarize:
i) P(Aᶜ) = 0.6
ii) P(Bᶜ) = 0.4
iii) Probability that exactly one of the events A, B occurs = 0.7
Note: The provided values of P(A), P(A ∪ B), and the disjoint nature of A and B are used to derive the above probabilities.
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The difference between two numbers is 30. The sum of two-third of the first number and one-eleventh of the second number is 5. Find the product of the two numbers.
Answer:
26 and 32 are the two numbers, the product is 832
Step-by-step explanation:
Use fraction models to multiply, then simplify the answer if needed. 6/7 x 1/2
Which diagram represents a line of symmetry for the regular pentagon? A pentagon has a fold that goes diagonally from from the top left-point to the bottom right-point. A pentagon has a fold that goes vertically from the top point to the midpoint of the bottom side. The fold forms a right angle with the bottom side and splits the bottom side into 2 equal parts. A pentagon has a fold that goes horizontally from the top left point to the top right point. A pentagon has a fold that goes horizontally through the midpoint of the bottom left side through the midpoint of the bottom right side. The fold splits the 2 sides into 2 equal parts.
The diagram that represents a line of symmetry for the regular pentagon is; Option B
How to Identify the Line of Symmetry?In mathematics and related disciplines, a line of symmetry is defined as a line that divides a figure, for example, a triangle, circle, or pentagon into two symmetrical or equal sides. This means that we can fold the image following the line and both sides will be identical.
This concept of line of symmetry occurs in the second pentagon because the line that begins in the top of the figure divides it into two equal sides. Thus, each of the sides includes half of the base and two angles that coincide if you fold the figure following line.
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Answer:
option b
Step-by-step explanation:
16.8=2.4e
find the value of E
Answer:
\(e = 7\)
Step-by-step explanation:
\(16.8 = 2.4e \\ \frac{16.8}{2.4} = \frac{2.4e}{2.4} \\ \: \: \: \: \: 7 = e\)
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Solve the equation (32
(3 % ) ( 3 ) =
X =
= 36
The value of x from the given expression (3^1/2 ) ( 3^1/2 ) = 3^6 can be expressed as 6.
How can the value of x be calculated?A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2. In the above example, the variable x exists.
Given that (3^1/2 ) ( 3^1/2 ) = 3^6
then 3^(x/2+ x/2) = 3 ^6
x/2+ x/2 = 6
Then the lcm , we have
x+x/2 = 6
2x/2 = 6
2x = 12
x = 12/2 = 6
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In the LRC circuit problem in the text, C stands for Select the correct answer. O a. current Ob.capacitance O c.charge on the capacitor O d. inductance O e. resistance
In an LRC circuit problem, the term "C" stands for capacitance (option b).
An LRC circuit consists of three primary components: an inductor (L), a resistor (R), and a capacitor (C). These components are connected in series, and the circuit allows the analysis of the behavior of electrical energy in the presence of these components.
The inductor (L) stores energy in the form of a magnetic field when current flows through it, while the resistor (R) dissipates energy in the form of heat as the current passes through it. The capacitor (C), on the other hand, stores energy in the form of an electric field as it holds a charge across its plates.
Capacitance is a measure of a capacitor's ability to store electrical energy per unit voltage. It is typically measured in farads (F). The capacitance of a capacitor is dependent on its physical properties, such as the surface area of its plates, the distance between the plates, and the dielectric material between the plates.
In an LRC circuit, the interplay of the inductor, resistor, and capacitor components creates a complex electrical behavior that depends on the circuit's characteristics and the applied voltage or current. The analysis of LRC circuits typically involves solving differential equations that describe the relationships between voltage, current, and the properties of the components.
In summary, the term "C" in an LRC circuit problem represents capacitance, which is a measure of a capacitor's ability to store electrical energy per unit voltage. The LRC circuit's behavior results from the combined action of the inductor, resistor, and capacitor components.
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HELPPSKSKSJDJJSJSnsnsks
Answer:
The first and 3rd are functions, but the second and fourth are not functions.
Step-by-step explanation:
To see if something is a function, use the vertical line test. If there are multiple y coordinates for a singular point for x, it is not a function.
What is the Square root of 21353641 by division method?
Answer:
that's how you it first divide by 4 then by 6 then by 2 then 1
The square root of 21353641 by the division method is approximately 4621.
What is the Square rootTo find the square root of 21353641:
Group the number into pairs from right to left: 21, 35, 36, and 41.Find the largest digit 'x' such that 'x' multiplied by twice the divisor gives a product less than or equal to 2135. In this case, 'x' is 4.Set the divisor as twice the current quotient plus 'x.' In this case, the divisor is 84.Repeat the process by bringing down the next pair of digits and finding the new quotient. The process continues until all pairs are exhausted.The final quotient obtained through the division method is approximately 4821.Learn more about Square root from
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