Answer:
92
Step-by-step explanation:
Interesting question.
The given angle is 1/2 the central angle. The central angle is equal to the minor arcEG.
So the central angle = 46 *2
The central angle = 92
ArcEG = 92
H can be anywhere on the major arc EG and the answer would be the same.
Evan completed his math homework in 23 minutes. It took Troy 2 times as long
to complete his math homework. How long did it take Troy to complete his
homework?
minutes
Answer:
46
Step-by-step explanation:
You multiply 23×2 and that is how I got my answer.
The length and the breadth of a rectangular room is in 3:2 and its area is 96m². Find the length and breadth of the room. [Ans: 12m, 8m]
Answer:12m,8m
Step-by-step explanation:BREAADTH
Compute $17^{-1}\pmod{83}$. Express your answer as a residue from $0$ to $82$, inclusive.(You may find it helpful to consider the fact that $17\cdot 5
The residue from $0 to $82 is 44 ≡ x(mod83)
17−1≡x(mod83)
17∗17−1≡17x(mod83)
5∗1≡5∗17=85(mod83)
5≡2x(mod83)
42∗5=210≡2∗42x=84x≡x(mod83)
44 ≡ x(mod83).
A mathematical operations that performs a calculation on two numbers is known as an arithmetic provider. They are used in everyday arithmetic, and most computer languages include a set of such operators that can be used within equations to perform a variety of sequential calculations. The following are examples of basic arithmetic operations are:
(+) Addition
Subtraction (-) (-)
() Multiplication
() division
In programming, computers use different symbols to represent multiplication (*) and division (/). More complex operators, such as
Let's look at an ice cream multiplication example.
There are two groups, each has its own ice cream.
The total number of ice creams is 2x3=6
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The piggy bank in the video was filled with pennies and
quarters worth a total of $62. 0.
What are three possible combinations of pennies and
quarters that are worth $62. 00?
Enter your combinations in the table.
Number of Pennies
Number of Quarters
I
The three combinations of pennies and quarters are:
A. 1,560 Pennies and 124 Quarters
B. 2,600 Pennies and 49 Quarters
C. 3,120 Pennies and 24 Quarters
The total value of the pennies and quarters is $62.00. This can be achieved with either 1,560 pennies and 124 quarters (1,560 x 0.01 + 124 x 0.25 = 62.00), 2,600 pennies and 49 quarters (2,600 x 0.01 + 49 x 0.25 = 62.00) or 3,120 pennies and 24 quarters (3,120 x 0.01 + 24 x 0.25 = 62.00).
To find the combinations of pennies and quarters that are worth $62.00, begin by finding the number of pennies that equal $
62.00. 62.00/0.01 = 6,200 pennies.
Next, subtract the value of the pennies from the total to find the value of the quarters.
62.00 - (6,200 x 0.01) = 24.00.
Divide the value of the quarters by 0.25 to find the number of quarters. 24.00/0.25 = 96 quarters.
To arrive at the three combinations
, 1,560 pennies and 124 quarters
(1,560 + 96 = 1,656, 1,656 x 0.01 + 124 x 0.25 = 62.00),
2,600 pennies and 49 quarters
(2,600 + 49 = 2,649, 2,649 x 0.01 + 49 x 0.25 = 62.00)
and
3,120 pennies and 24 quarters
(3,120 + 24 = 3,144, 3,144 x 0.01 + 24 x 0.25 = 62.00).
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What kind of triangle has 25 90 65?
25-90-65 is a right-angle triangle because one of the angles is 90°.
A right-angle triangle or orthogonal triangle is a triangle in which one angle is a right angle (that is, a 90-degree angle), and two sides are perpendicular. The relationship between the sides and angles of the right triangle is the basis for trigonometry.
The hypotenuse is the facing side to the right angle. Legs are the adjoining sides to the right angle.
Properties of right angle triangle:
The right angle is the largest angle in a right-angle triangle.The hypotenuse, the opposite of the right angle, is the longest side.There are no obtuse angles in a right-angle triangle.Read more about right-angle triangles:
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Do you remember all 4 ways to solve a quadratic equation?
The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.
what is quadratic equation ?A quadratic polynomial in a single variable is x ax2+bx+c=0, which is a quadratic equation. a 0. The fact that this polynomial is of second order guarantees that it has at least one solution according to the Fundamental Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least one word in it has to be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the numerical coefficients or constants a, b, and c.
given
Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.
Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)
Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.
The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.
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2x + 2y = -10
What is the slope and y intercept?
Answer:
Slope: -1; y-intercept: -5
Step-by-step explanation:
Given:
2x + 2y = -10
Question:
What is the slope and y intercept?
Work:
The "template" for the slope of a line is: y = mx + b. "m" is the slope, "x" is a variable, and "y" is the y-intercept.
2x + 2y = -10 (We need to get 2x on the other side so lets subtract 2x on both sides since subtraction is the inverse of addition)2y = -2x - 10 2y = -2x - 10 (We are almost done. Now, all we need to do is get rid of the 2 that is the coefficient of the variable "y" and we are done.)y = -x - 5y = -x - 5 (The y-intercept is -5 and the slope is -1)Answer: Slope = -1; y-intercept = -5Hope this helped! :D
GIVEN: An exterior stud wall with brick veneer is 11 ft tall and 40 ft long. 25 % of the area of the wall is windows (glass, frame and sash). FIND: Total weight of the wall and the average dead load in lb/ft of the length of the wall (per foot of wall length) that the wall exerts on the floor.
The total weight of the wall is 49,500 lb, and the average dead load per foot of wall length is 1237.5 lb/ft.
To find the total weight of the wall and the average dead load per foot of wall length, we need to calculate the total area of the wall and the area of the windows, then use that information to determine the weight of the remaining brick veneer.
First, we calculate the total area of the wall by multiplying the length and height:
40 ft * 11 ft = 440 ft²
Next, we calculate the area of the windows by multiplying the total area of the wall by 25% (the percentage of the wall that is windows):
440 ft² * 0.25 = 110 ft²
Now we can find the area of the brick veneer by subtracting the area of the windows from the total area of the wall:
440 ft² - 110 ft² = 330 ft²
To find the weight of the brick veneer, we can assume a weight of 150 lb/ft². We can calculate this by multiplying the area of the brick veneer by the weight per square foot:
330 ft² * 150 lb/ft² = 49,500 lb
Now to find the average dead load in lb/ft of the length of the wall, we divide the total weight of the wall by the total length of the wall:
49500 lb / 40 ft = 1237.5 lb/ft
So the total weight of the wall is 49,500 lb, and the average dead load per foot of wall length is 1237.5 lb/ft.
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HELP PLEASEEEEEEEEEEEEEEEE
Answer: The answer is $1,317.50
Step-by-step explanation:
First, Find how much they earn in the goods sale.
Make $1,700, their goal to earn, into 1,700/1 and set it to multiply that by 2/5, the fractional amount of money earnt at the goods sale proportional to how much they have to earn.
Simplify that by crossing 1,700 and 5 into a 340 and 1.
Multiply 340/1 by 2/1 to get 680/1.
Make that into a whole number ($680) to show how much money earnt from the goods sale.
Secondly, find how much money they earn by the Bingo Night
Make 1,700, like last time, into 1,700/1 and set it to multiply 3/8, the fractional amount of money earnt from the Bingo Night proportional to how much they have to earn
You can't simplify, so just multiply the amount.
If you multiply, you will get 5,100/8.
Divide 5,100 by 8 (the divisor by the dividend).
Make sure to also add the 0 after the tenths place after you get your quotient, which is supposed to be 637.5 (or $637.50)
Lastly, You have to add them up.
Add $637.50+$680.
You shall get $1,317.50
A bicycle wheel has a diameter of 559 mm and has 32 equally spaced spokes. What is the approximate arc length, rounded to the nearest hundredth, between each spoke? Use 3. 14 for π. Show your work
The approximate arc length rounded to the nearest hundredth, between each spoke is 54.9 mm.
Diameter = 559 mm, r = d/2 = 279.5 mm
Number of spokes = 32
π = 3.14
To solve this question, we have to use the formula of the length of an arc which is given as
L = θ/360 × 2πr
To calculate the angle between each spoke, let's divide 360 by 32
θ = 360/32
θ = 11.25°
Now we have the value of the angle, substitute it and solve for the length of the arc.
[tex]L_{arc}[/tex] = θ/360 × 2πr
= 11.25/360 × 2 × 3.14 × 279.5
= 54. 9 mm
Therefore the length of the arc is approximately 54.9 mm.
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the question in the picture below
Answer:
answer is option A
Step-by-step explanation:
2x+6≤10or2x+8>20
2x≤10-6 or 2x>12
x≤4/2 or x>2/12
x≤2 or x>6
Pls help Algebra1 pls help help help
Answer:
80
Step-by-step explanation:
80+10=90
90/18 = 5
Answer:
W=80
For both equations, you can substitute W for 80 and it would work/be true.
PLEASE HELP ASAP, I WILL MARK YOU BRAINBLIEST <3 TYSM
The answers to each part is mentioned below.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is a straight line problem as shown in the question.
( 1 ) -(a) -
Now, 12 oz of honey will cost $5.4. So, we can write that -
1 ounce of honey will cost - (5.4/12)
Cost of 1 oz honey will be - $(0.45)
(b) -
Now, 12 oz of honey will cost $5.4. So, we can write that -
For $1, you can buy - (12/5.4) oz of honey.
Amount of honey bought in 1 dollar - 2.22 ounces
(c) -
We can write the equation as -
c = 0.45h
(d) -
The graph for this function is attached with the answer.
Therefore, the answers to each part is mentioned above.
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Option A: You are given $100 on the first day and then receive $10 each day for the month of February.
Option B: You are given one cent on the first day and that amount will double each consecutive day for the month of February.
Write a function rule to represent the total amount earned with Option A.
Write a function rule to represent the amount of money you will have earned with Option B.
The function rule to represent the total amount earned with Option A and earned with Option B are f(x) = 100 + 10x and f(x) = (1/100) * 2^x.
What is the function rule?
The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
For Option A, the total amount earned can be represented by the function:
f(x) = 100 + 10x
where x is the number of days in February (x = 28 for a standard non-leap year)
For Option B, the total amount earned can be represented by the function:
f(x) = (1/100) * 2^x
where x is the number of days in February (x = 28 for a standard non-leap year)
the above function will be in cents, to get dollar values divide it by 100.
hence, the function rule to represent the total amount earned with Option A and earned with Option B are f(x) = 100 + 10x and f(x) = (1/100) * 2^x.
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-x+3y=6 in slope intercept form pls i need to know!!!
Answer:
[tex]\sf \bf y = \dfrac{1}{3}x + 2[/tex]
Step-by-step explanation:
Slope intercept form: y = mx + bWhere m is slope and b is y-intercept.
To write in slope intercept form isolate y.
To isolate y, first add 'x' to both sides,
-x + 3y = 6
3y = x + 6
Now, divide the entire equation by 3,
[tex]\sf \dfrac{3y}{3}=\dfrac{1}{3}x + \dfrac{6}{3}\\\\\\[/tex]
[tex]\sf \boxed{\bf y = \dfrac{1}{3}x + 2}[/tex]
What is a parent function example?
An example of a parent function is [tex]f(x) = x^{2}[/tex], which is the parent function to any quadratic equation.
The most basic form of a function is a parent function. Its essential shape is not changed in any manner. In mathematics, some graphs are frequently seen. Because of this, the graphs of quadratic functions, square roots, absolute values, cubics, and cube roots are among the original, widespread functions that are referred to as parent graphs.
For instance, you should still be able to identify the parabola that has undergone various transformations when you view a u-shaped graph that has been inverted and stretched vertically.
Here are a few examples to understand this concept further.
For a quadratic equation, the parent graph is [tex]f(x) = x^{2}[/tex], which is a parabola.For a cubic equation, the parent graph is [tex]f(x) = x^{3}[/tex].Let us take [tex]f(x) = x^{2}[/tex], which is the parent equation of any quadratic equation. The graph of this parent function is a parabola, which is shown below.
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Which planets have surface features (e.g., mountains, canyons, volcanoes, etc.)?
Answer:
The answer is Terrestrial planets
How I find a area of triangle when 3 equation of sides are given?
The area of a triangle when three side lengths are calculated by Heron's Formula. Heron's Formula states that the area of a triangle is equal to the square root of s(s-a)(s-b)(s-c)
To calculate the area of a triangle when three side lengths are given, we can use Heron's Formula. Heron's Formula states that the area of a triangle is equal to the square root of s(s-a)(s-b)(s-c) where s is half the perimeter of the triangle and a, b, and c are the lengths of the sides of the triangle.
To calculate the area of the triangle given three side lengths, we first need to calculate the perimeter (p) of the triangle. The formula for the perimeter is p=a+b+c.
Then, use this formula to calculate s, which is half the perimeter.
s = p/2
Once s is calculated, plug it into Heron's Formula to calculate the area of the triangle.
Area = √s(s-a)(s-b)(s-c)
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A farmer took 2/3 of the trawberrie that he harveted to a market. At the the market, the farmer old 1/4 of the trawberrie. How can you find what part of the trawberrie the farmer harveted were old at the market?
There are 5/12 strawberries were left. This can be solved using the concept of fraction addition.
What is fraction?A fraction is a piece of the entire. The number is stated in arithmetic as a quotient, which signifies the numerator divided by the denominator. Both are integers in a straightforward fraction. The numerator or denominator of a complex fraction is a fraction. A suitable fraction has a numerator that is smaller than its denominator.
Three main fractional kinds exist. They come in three varieties: appropriate fractions, incorrect fractions, and mixed fractions. The numerator and denominator words are known as fractions. We define its kinds in light of these two words.
Given that,
A farmer took 2/3 of the strawberry that he harvested to a market.
At the market, the farmer sold 1/4th of the strawberry.
Now, the farmer has left no of strawberries were:
= (2/3) - (1/4)
= (8 - 3) / 12
= 5 / 12
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A rectangle and a _________ are quadrilaterals with four right angles.
Answer:
A rectangle and a square are quadrilaterals with four right angles.
Step-by-step explanation:
Hope it helps! =D
Write 4.2 as a mixed number and as an improper fraction.
Write your answers in simplest form.
0
improper fraction: 0
mixed number:
믐
8 0.8
X
As a mixed number, 4.2 can be written as 4 + 2/10.
As an improper fraction, 4.2 can be written as 21/5.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
What is a mixed fraction?A mixed fraction is one that is represented by both its quotient and remainder. A mixed fraction is, for instance, 2 1/3, where 2 is the quotient and 1 is the remainder. An amalgam of a whole number and a legal fraction is a mixed fraction.
Since 4 + 2/10=4.2 so as a mixed number, 4.2 can be written as 4 + 2/10.
Also, 21/5=4.2 so, as an improper fraction, 4.2 can be written as 21/5.
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b) Sita had.50 sweets. She ate 10 sweets and gave 8 sweets to her brother. If she divided the rest of them among her 8 friends equally, how many sweets would each friend get?
Answer:
4 sweets each
Step-by-step explanation:
50 sweets to begin with and eats 10 , so 50 - 10 = 40 left
she then gives 8 to her brother , leaving 40 - 8 = 32 sweets
she then shares 32 equally among her 8 friends , so
32 ÷ 8 = 4
that is each friend got 4 sweets
Brad has a cylindrical barrel with radius 10 inches and height 15 inches. He wants to fill it from a well, using a bucket in the shape of a hemisphere with a radius of 10 inches. How many trips must Brad make to the well in order to fill the barrel
He needs to make 1 and a half trips to the well to fill the barrel which has a height of 15 inches and radius 10 inches.
What are cuboid?A cuboid is a three-dimensional geometric shape that has six rectangular faces, three of which meet at each corner. A cuboid has three dimensions: length, width, and height. It is also commonly referred to as a rectangular prism. The formula for the volume of cuboid is [tex]V = l *w * h[/tex], where l is the length, w is the width, and h is the height. The formula for the surface area of a cuboid is [tex]2lw + 2lh + 2wh[/tex]. Cuboids are used in everyday life such as building blocks and package boxes.
The cylindrical barrel has a volume of [tex]\pi * r^2 * h = \pi * 10^2 * 15 = 1500\pi[/tex] cubic inches.
The hemisphere has a volume of [tex](2/3) * \pi * r^3 = (2/3) * \pi * 10^3 = (2000/3)\pi[/tex] cubic inches.
So, to fill the barrel, Brad must make [tex]1500\pi / (2000/3)\pi = 3/2 = 1.5[/tex] trips to the well.
In other words, he needs to make 1 and a half trips to the well to fill the barrel.
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The table below shows the number of animals at a local petting zoo.
Animal
Goats
Number
3
8:20 =
Ponies
3
Write the ratio of ponies to goats.
You may write the ratio in ANY of the three forms. Remember to REDUCE the ratio,
possible.
T
123 f() ∞*E ABC αβγ
Rabbits
8
21
7
8
O
1.
Sheep
6
a
DG
Answer: 1:1
Step-by-step explanation:
We will write a ratio of ponies to goats;
ponies : goats
3 : 3
Next, 3:3 can be simplified to 1:1. This gives us our fully reduced ratio.
the american veterinary association claims.. what is the probabilty that your anual cost will ve within 5 of the mean
The probability that the annual cost will be 5 of the mean is 0.0912.
How does probability analysis work?A method used by risk managers to predict upcoming events, like accidental and commercial losses. In order to determine a probability distribution that can be applied to forecast future losses, this procedure involves reviewing historical loss data.
X = Annual cost of medical care for dogs.
X~ Normal (μ = 200, σ = 60)
Sample size n = 16
We know that the sample mean Xbar has a normal distribution with mean = μ and sd = σ/√n
Xbar ~ Normal (μ’ = 200, σ’ = 60/√16 = 15)
Required probability -
P[Average cost of medical care for 16 sampled dogs is > 220]
= P[Xbar > 220]
= P[(Xbar-μ’)/σ’ > (220-200)/15]
= P[Z > 1.3333], Z is a standard normal variable.
= 1 - P[Z < 1.3333]
= 1 - 0.9087, from standard normal table.
= 0.0912
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The complete question is:
A veterinary association claims that the annual cost of medical care for dogs averages $200 with a standard deviation of $60, and for cats averages $240 with a standard deviation of $70. Assume the costs follow a normal distribution. What is the probability the average annual cost of medical care for 16 randomly chosen dogs is greater than $220.
2.6.2 Test (CST): Functions and Relations
Question 7 of 25
The function h(x) = -x] is a transformation of the absolute value parent
function, f(x) = [x]. Which graph shows h(x)?
Answer:
b
Step-by-step explanation:
The graph that shows the function h(x) = -x] which is a transformation of the absolute value parent function, f(x) = [x] is Option C.
The graph of the function h(x) = -x] is the reflection of the graph of f(x) = [x] about the x-axis. The graph of f(x) is piecewise defined as follows:
f(x) = x, when x ≥ 0f(x) = -x, when x < 0The graph of h(x) will have the same shape as f(x), but with all the y-values negated, so:
h(x) = -x, when x ≥ 0h(x) = x, when x < 0The graph of h(x) will thus be a downward-facing step function, with steps at x = 0, moving from -x to x as x moves from negative to non-negative values. Thus, Option C is correct.
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A sphere is inscribed in a cone with height 4 and base radius 3. What is the ratio of the volume of the sphere to the volume of the cone
The radius of the sphere 1.5 units
The volume of the cone is pi (3)^2 *4 / 3 units^3 = 12pi units^3
The volume of the sphere is (4/3)pi (1.5)^3 units^3 = 4.5 units^3
So ratio of the volume of the sphere to the cone is :
4.5 pi / 12 pi = 4.5 / 12 = (9/2) / (24/2) = 9 / 24 = 3 / 8
What is radius?In geometry, the radius is defined as a line segment joining the center of the circle or a sphere to its circumference or boundary. It is an important part of circles and spheres which is generally abbreviated as 'r'. The plural of radius is "radii" which is used when we talk about more than one radius at a time. The largest line segment in a circle or sphere joining any points lying on the opposite side of the center is the diameter, and the length of the radius is half of the length of the diameter. It can be expressed as d/2, where 'd' is the diameter of the circle or sphere. Look at the image of a circle given below showing the relationship between radius and diameter.To learn more about diameter refer to:
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A pizza delivery driver must make three stops on her route. She will leave the restaurant and travel 4 miles north to the first house. The next house is 6 miles away in the direction of east. She delivers the last pizza to the third stop, which is 5 miles south of the restaurant before she returns to the restaurant to pick up more pizza. What is her displacment for the entire trip
The displacement of the pizza delivery driver for the full journey is therefore 6.08 miles.
The pizza delivery driver's displacement for the entire trip is the total distance and direction that she travels from the restaurant to her last delivery and back.
To find her displacement, we can use the Pythagorean theorem to find the total distance from the start to the endpoint.
The displacement is the distance between the start and end point and the direction of the trip. Here we can see that she traveled 4 miles north, 6 miles east, and 5 miles south,
To find the displacement we will use the Pythagorean theorem (ax2 + bx2 = cx2)
where c is the displacement and a and b are the east-west and north-south distances respectively.
so, a = 6 miles (east-west)
b = (4 miles - 5 miles) = -1 miles (north-south)
so, c = √(ax2 + bx2)
c = √(6x2 + (-1)x2)
c = √(36 + 1)
c = √(37)
c = 6.08 miles
So the pizza delivery driver's displacement for the entire trip is 6.08 miles.
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When the solution of x2 - 9x - 6 is expressed as 9
vr, what is the value of r?
x= -bb2 - 4ac
2a
06
42.
57
105
The value of r is 105 in this equation.
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation. The x2 term is written first, then the x term, and finally the constant term is written when constructing a quadratic equation in standard form. In most cases, the numerical values of letters a, b, and c are expressed as integral values rather than fractions or decimals.
In the quadratic formula, √r =[tex]\sqrt{b^{2}-4ac }[/tex]
Where a = 1, b = -9, and c = -6.
So √r = √(-9)² - 4(1)(-6)
√r = √81 -4(-6)
√r = √81 + 24
√r = √105
Hence, the value of r is 105 in this equation.
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What is the definition of a solution give 3 examples of a solution?
A homogenous mixture of two or more components is referred to as a solution.
Solution Examples: Brass is an illustration of a solid solution. Liquid solutions include aqueous hydrochloric acid as an illustration (HCl in water). Air is an illustration of a gaseous solution.
1)When we combine salt (often table salt) and water, we create salt water.
2)By combining sugar and water, sugar water is created.
3)Mouthwash is made up of various chemicals that have been dissolved in water.
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