Answer:
[tex](5-2c^{2}) c^{3}[/tex]
Step-by-step explanation:
Factor out [tex]c^{3}[/tex]
[tex](5-2c^{2})[/tex] is not factored since it does not have any rational roots.
Latoya bought a new rack for her CD collection. She has 977 CDs. Each row of the rack holds 12 CDs. How many rows can she fill? Write the answer as a mixed number
Latoya can fill 81 5/12 rows for her CD collection
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
According to the data problem,
Total CDs= 977Row capacity = 12 CDs/rackNumber of row = ?Calculating how many rows can she fill, we get:
Number of row = Total CDs / Row capacity
Number of row = 977 /12
Number of row = 81 5/12
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Please reduce each fraction and give the variable values to make the solution work.
Answer:
10
Step-by-step explanation:
hi
How do you do algebraic expressions Grade 6?.
One can solve basic algebraic expressions by following these steps.
In grade 6, students typically learn to solve basic algebraic expressions by following these steps:
Identify the variable and the coefficient (number in front of the variable) in the expression.
Use the order of operations (PEMDAS) to simplify any arithmetic within the expression.
Use the distributive property to combine like terms.
Isolate the variable on one side of the equation by using inverse operations (such as adding or subtracting the same value from both sides, or dividing or multiplying both sides by the same non-zero value).
Substitute in a value for the variable to find the numerical value of the expression.
It's good to practice with a lot of examples and check the solutions and ask for help if needed.
Example:
Solve for x: 3x + 2 = 12
variable is x, coefficient is 3
nothing to simplify
nothing to combine
subtract 2 from both sides: 3x = 10
divide both sides by 3: x = 10/3 or 3.3333
x = 3.3333
It's important to note that solving algebraic expressions can become more complex as the student progresses, but the basic steps remain the same.
Thus, One can solve basic algebraic expressions by following these steps.
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Brooke has 3 more dresses than Sarah. Which 2-variable equation shows how many dresses Brooke owns?
B = 3 + S
Where:
B = Brooke's number of dresses S = Sarah's number of dressesIn this equation, B stands for Brooke's number of dresses and S stands for Sarah's number of dresses. The equation states that Brooke's number of dresses is three more than Sarah's number of dresses, so if we know how many dresses Sarah has, we can calculate how many dresses Brooke owns.
For example, if Sarah owns 6 dresses, then Brooke owns 9 dresses (6 + 3).The equation B = 3 + S shows that Brooke has three more dresses than Sarah. Knowing Sarah's number of dresses allows us to calculate Brooke's number of dresses by adding three.
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What is the formula of a parabola with the vertex at 2/3 and focus at 0 3 )?.
The formula of a parabola with the vertex at (2,3) and focus at (0,3) is (y - 3)² = 8(x - 2)
The term vertex in math is known as a special point of a mathematical object, and is usually a location where two or more lines or edges meet.
Here we have given the value of a parabola with the vertex at (2,3) and focus at (0,3).
As we all know that the general form of the vertex is written as,
=> (y − k)² = 4a(x − h) for horizontal parabola
Here we have given that Vertex (2,3) and focus (0,3)
Then it can be easily noticed that focus and vertex lie on the same horizontal line y = 3
Which defined that the axis of symmetry is a horizontal line and also here the focus lies to the right of the vertex so the parabola will open up rightward.
Then the vertex equation is written as,
=> a = 2 - 0 = 2
=> (y - 3)² = (4 x 2) (x - 2)
=> (y - 3)² = 8(x - 2)
Complete Question:
What is the formula of a parabola with the vertex at (2,3) and the focus at (0,3)?
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A man deposits 400 naira with a bank which pays 5% interest per annum. How many years will the money in his savings account grow up to 500 naira?
Answer: The formula for compound interest is A = P(1 + r/n)^(nt) where A is the amount, P is the principal (initial deposit), r is the interest rate, t is the time in years, and n is the number of times compounded per year.
To find out how many years it will take for the money to grow to 500 naira, we can set A equal to 500, P equal to 400, r equal to 5% (or 0.05), and n equal to 1 (since the interest is compounded annually).
Plugging these values into the formula, we get:
500 = 400(1 + 0.05)^t
By solving this equation, t = 3.32 years.
So, it will take 3.32 years for the money in the savings account to grow to 500 naira.
Step-by-step explanation:
At the end of the day, a pizzeria turns off its pizza oven.
The table shows the linear relationship between the
temperature of the oven and the first five minutes after
it was turned off.
A linear graph depicts a direct relationship between two variables when it follows a straight line.
How can you know if a graph is linear?Examining the graph's data plotting will help you distinguish between a linear and a quadratic graph. A linear graph depicts a direct relationship between two variables when it follows a straight line. Parabolas are used to graph quadratic equations, on the other hand.Find the value of y at x=0 to get the y-intercept on a graph. The graph's y-axis intersection occurs at this location.A linear graph depicts a direct relationship between two variables when it follows a straight line. Parabolas are used to graph quadratic equations, on the other hand.Find the value of y at x=0 to get the y-intercept on a graph. The graph's y-axis intersection occurs at this location.To learn more about linear graph refer to:
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Write the linear equation that gives the rule for this table.
X y
2 26
3 45
4 64
5 83
The linear equation that gives the rule for this table is y = 19x - 12.
What is a linear equation?A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
The standard linear equation can be represented as:
y = mx + b
where, m is the slope and b is the y-intercept of the line.
From the table we can see the two points through which the point passes is:
(x1, y1) = (2, 26)
(x2, y2) = (3, 45)
The slope of the line is given by:
m = (y2 - y1) / (x2 - x1)
m = (45 - 26) / (3 - 2)
m = 19 / 1 = 19
The slope m = 19.
The point-slope form of the line can be written as:
y - y1 = m (x - x1)
y - 26 = 19 (x - 2)
y - 26 = 19x - 38
y = 19x - 38 + 26
y = 19x - 12
Hence, the linear equation that gives the rule for this table is y = 19x - 12.
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Which jam recipe has more strawberry flavor?
Recipe A
3 cups strawberries
1/2 cup sugar
Recipe B
5 cups strawberries
1 cup sugar Help please
The jam recipe that has more strawberry flavour would be recipe A with 1 cup of sugar to 6 cups of strawberries.
What is a recipe?A recipe is defined as the a structured list that contains all the substances that are used for the preparation of a meal.
Recipe A contains the following;Strawberries = 3 cups
sugar = 1/2
Therefore 1 cup of sugar = 6 cups of strawberries
Recipe B contains the following:Strawberries = 5 cups
sugar = 1
Therefore 1 cup of sugar = 5 cups of strawberries
It can be concluded that jam recipe that has more strawberry flavour would be recipe A with 1 cup of sugar to 6 cups of strawberries.
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◆
0 5 10
15
15 20
Snsnsjsjxj
Answer:
The sequence = [tex]a_{n} = 5n-5[/tex]
Step-by-step explanation:
To find the sequence use the formula [tex]a_{n} = a_{1} +d(n-1)[/tex] to identify the arithmetic sequence, [tex]a_{n} = 5_{n} - 5[/tex].
find the first 5 sequences n²+2
Answer:
3, 6, 11, 18, 27
Step-by-step explanation:
[tex]1^{2}[/tex] + 2 = 3
[tex]2^{2}[/tex] + 2 = 6
[tex]3^{2}[/tex] + 2 = 11
[tex]4^{2}[/tex] + 2 = 18
[tex]5^{2}[/tex] + 2 = 27
Two step equations pls help with explanation
After factorising 2+ k/3 = 5, the value of k is 9.
How should a function be evaluated?Finding the value of f(x) = or y = that corresponds to a given value of x is the definition of function evaluation.
Simply swap out all instances of x with the value that has been allocated to x to do this. For instance, if f(4) is to be evaluated, then x has been given the value of 4.
How is an equation factored?Fully factorizing an equation entails putting it in brackets by eliminating the factors with the highest common denominator.
The easiest method of factoring is: Find the terms in the phrase that have the highest common factor. Any bracket should have the highest common factor (HCF) in front of it.
In this question,
2+ k/3 = 5
Take L.C.M. of 1 and 3.
(6 + k)/3 = 5
6 + k = 15
k = 15 - 6
k = 9
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What is the slope and y-intercept of y =- 9?.
The slope and y-intercept of y=-9 is 0 and (0,-9).
Linear equations can be written in the form y=mx+b, where:y is a y coordinate on the line m is the slope of the line.A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, x is a variable, A is a coefficient and B is constant. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant.
Change y=9 in the slope-intercept form: y=mx+c, where m is the slope of the line and c is the y-intercept, y=0(x)+(-9),
Comparing the equation y=0(x)+9 with the equation y=mx+c, we get that m=0. It is a horizontal line. The slope = 0.
The line cuts the y-axis at the point (0,-9), The y-intercept is at the point (0,-9)
Hence, the slope and y intercept is 0 and (0,-9).
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What is the initial value of the function?
Answer:
In math, the initial value of a function means that it is the y-intercept of the function. For instance, if the function is f(x)=2x+3 f (x) = 2x + 3 , the y intercept, (initial value) is 3 . This value is graphed on the y axis.
Step-by-step explanation:
Answer:
In math, an initial value of a function means that it is the y-intercept of the function. Knowing the y-intercept will help in graph functions. For instance, if the function is f(x)=2x+3 f ( x ) = 2 x + 3 , the y intercept, (initial value) is 3 . This value is graphed on the y axis.
Step-by-step explanation:
Is it possible to construct a triangle whose sides are 5. 5 cm 4. 5 cm and 10 cm Yes No )?.
No, it is not possible to draw a triangle.
This will be done by the property: the sum of two sides of a triangle should be more than the third side.
(4.5cm + 5.5cm) =10.0cm
10.0cm = 10.0cm
LHS = RHS
A triangle is not possible.
A triangle is a polygon with three edges and 3 vertices. The terminology for categorizing triangles is more than two thousand years vintage, having been defined on the first actual page of Euclid's elements.
In Euclidean geometry, any three factors, while non-collinear, decide a completely unique triangle and simultaneously, a unique plane (i.e. a -dimensional Euclidean space). In different words, there's best one plane that consists of that triangle, and every triangle is contained in some plane. If the entire geometry is only the Euclidean plane, there is the best one plane and all triangles are contained in it; however, in higher-dimensional Euclidean spaces, this is not real. this text is ready triangles in Euclidean geometry, and in particular, the Euclidean plane, except wherein otherwise stated.
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evaluate the function for x=5:f(x)= 2x-4/3
Answer: 26/3
Step-by-step explanation:
[tex]f(x) = 2x - \frac{4}{3} \\f(5) = 2(5) - \frac{4}{3} \\f(5) = 10 - \frac{4}{3} \\f(5) = \frac{30}{3} - \frac{4}{3} \\f(5) = \frac{26}{3}[/tex]
In this question we need to evaluate the function f(x) = (2x-4)/3 for the question to be solved with perfect answer.
Evaluating a function means:
Replaces or substitutes each variable with the specified number or expression.
Now, according to question we have to replace x with number 5 so we can get the desired solution.
First evaluate by replacing and substituting the function for variable x with number 5 which is x=5. Hence by replacing the given number gives us the following equation
f (5) = (2*5-4)/3
Now, simplifying
f (5) = (10-4)/3
f (5) = (6)/3
f (5) = 2
Hence, the correct answer for this is 2.
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How is a complex number expressed?.
Complex numbers are those expressed as a+ib, where a, b are real numbers and I is a fictitious number called a "iota." I is equal to (-1).
A complex equation is one that needs complex numbers to be solved. Complex numbers are those that have both real and fictitious components. It is spelled out as follows: Both the letters A and B in the previous equation stand for numerical values. 4+3i is an example of a complicated number.
Complex issue solving is a set of self-regulated psychological processes and activities that are used to achieve ill-defined goals that cannot be accomplished through typical behaviors. Numerous strategies and creative knowledge combinations are needed.
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The center of the circle i hown. The diameter i 4 unit. A circle centered on a coordinate plane at the origin begin ordered pair 0 comma 0 end ordered pair. The circle pae through point begin ordered pair 2 comma 0 end ordered pair and begin ordered pair negative 2 comma 0 end ordered pair. What i the exact area of the circle?
Repone
2π
unit²
2 π , unit²
4π
unit²
4 π , unit²
8π
unit²
8 π , unit²
16π
unit²
16 π , unit²
The exact area of the circle is 4π [tex]units^2[/tex].
The center of the circle is at the origin (0,0)
The diameter of the circle = 4 units.
So, the radius of the circle = 2 units.
The circle passes through points (2,0) and (-2,0). The given points are on the x-axis and they are exactly 2 units away from the origin
The area of a circle A = π [tex]r^2[/tex],
where A is the area, π is approximately 3.14 and r is the radius of the circle.
So, the area of the circle with a radius of 2 units is A = π [tex]r^2[/tex] = π([tex]2^2[/tex]) = 4π [tex]units^2[/tex]
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What i the area of a rectangle with a length of 14. 4 inche and a width that i one-third of the length?
43. 2 in. 2
51. 84 in. 2
69. 12 in. 2
103. 68 in. 2
Answer:
43. 2 in. 2
Step-by-step explanation:
]43. 2 in. 2, 103. 68 in. 2
due in 10 min help please!!!!!
Answer: x= 12.4
Step-by-step explanation:
you should use trigonometry for this question, and you will have to follow tan to find the opposite side of the right-angled triangle.
tanθ = [tex]\frac{O}{A}[/tex]
tan(54°)= [tex]\frac{x}{9}[/tex]
tan(54)°x 9 = x (you should cross multiply)
x= 12.39
x= 12.4
how far above the ground is the ladder
The length from the point the ladder touche the wall from the ground 13 feet approximately to the nearest whole number derived using the Pythagoras rule
What is the Pythagoras ruleThe Pythagoras rule states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We shall represent the length of the from the wall where the ladder touches the wall to the ground with the letter x, such that by Pythagoras rule we evaluate for the hypotenuse as follows;
14² = x² + 5²
196 = x² - 25
x² = 196 - 25 {subtract 25 from both sides}
x² = 171
x = √171 {take square root of both sides}
x = 13.08
Therefore, the ladder is 13 feet approximately to the nearest whole number from the ground to where it touches the wall using the Pythagoras rule
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What is an example of a function that is its own inverse?.
One example of a function that is its own inverse is the square root function. The square root function takes a number and returns its inverse, which is always negative.
For example, the square root of 4 is equal to -2, and the square root of -3 is equal to 3. This means that you can multiply a number by -1 and then take the square root to get the same number as the original number. This proves that the inverse of a number is always a negative number. The opposite of a square is known as a rectangle. This shows that the square functions as its inverse. Another example of a function that is its own inverse is the exponential function. The exponential function takes two numbers and returns the reciprocal of their product. This means that the exponential function is also its own inverse because the reciprocal of a product is equal to the product of the reciprocals.
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PLS HELP ME!! I NEED THE ANSWER NOW!
Which is the slowest rate?
A- 2133 km in 6 hr
B- 3267 km in 11 hr
C- 1456 kn in 4 hr
D- 2461 in 9 hr
Answer:
d
Step-by-step explanation:
Find the missing Length 27 ? 8 10
let the missing length = x
[tex] \frac{ x }{27} = \frac{8}{8 + 10} \\ [/tex]
Corresponding side of congruent triangle are similar...
[tex] \frac{x}{27} = \frac{8}{18} \\ [/tex]
[tex]18x = 216[/tex]
[tex]x = \frac{216}{18} \\ [/tex]
[tex]x = 12[/tex]
hence the missing length is 12...
Can you complete the equation how many fifths are equivalent to 6/10 this is just for fun
The number of 5ths in the fraction, 6/10 are 3, or there are 3 1/5s in 6/10
A fraction is a representation of a part of a whole. A fraction consists of a number (the numerator) known as the dividend, being divided by another number, (the denominator), also known as the divisor, arranged one over the other.
The expression of a fifth is 1/5
The number of fifths in 6/10 can be obtained by dividing 6/10 by 1/5 as follows;
6/10 ÷ 1/5 = 3
The number of fifths in 6/10 are 3 fifths
The number of fifths in 6/10 can also be obtained by simplifying the fraction, 6/10 as follows;
6/10 = (2 × 3)/(2 × 5) = (2/2) × (3/5)
2/2 = 1, therefore;
6/10 = 1 × 3/5 = 3/5
3/5 = 3 × 1/5
Therefore;
6/10 = 3/5 = 3 × 1/5
6/10 = 3 × 1/5
3 × 1/5 = 6/10
There are three 1/5s (fifths) in 6/10
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How do you solve a system of equations by 8th grade?.
There are different methods to solve a system of equations, but some common ones that are typically taught in 8th grade are graphing, substitution and elimination.
Graphing: This method involves plotting each equation on a coordinate plane and then finding the point of intersection, which represents the solution of the system.
Substitution: This method involves solving one equation for one of the variables and then substituting that expression into the other equation. This will give you an equation with only one variable, which you can then solve.
Elimination: This method involves adding or subtracting the equations in such a way that one of the variables is eliminated. This will give you an equation with only one variable, which you can then solve.
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what is the exact value of cos 80 cos 20 + sin 80 sin 20 show all steps
Which statements are true about the reflectional
symmetry of a regular heptagon? Select two options.
O It has only 1 line of reflectional symmetry.
0 A line of symmetry will connect 2 vertices.
O Aline of symmetry will connect a vertex and a
midpoint of an opposite side.
O It has 7-fold symmetry.
O A line of symmetry will connect the midpoints of 2
opposite sides.
The statements that are true about the reflectional symmetry of a regular heptagon are:
A heptagon is a type of shape.
A two-dimensional shape having seven sides and seven angles is called a heptagon. It is a member of the two-dimensional geometry polygon class. Polygons are closed geometric shapes with only straight edges. In Greek, "hepta" denotes seven, while "gonia" denotes an angle.
A line of symmetry will connect a vertex and a midpoint of an opposite side.
It has 7-fold symmetry.
A regular heptagon has 7-fold symmetry, which means that it can be divided into 7 identical parts by rotating it by 360/7 = 51.43 degrees. Since it has 7 sides, a line of symmetry will connect a vertex and a midpoint of an opposite side.
It has only 1 line of symmetry, and a line of symmetry will not connect 2 vertices or the midpoints of 2 opposite sides.
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–3m = –786
10 POINTS AND BRILLIANTEST
Answer: I think it’s m= 262
Step-by-step explanation:
Answer:
m = 262
Step-by-step explanation:
Now we have to,
→ find the required value of m.
The equation is,
→ -3m = -786
Then the value of m will be,
→ -3m = -786
→ m = (-786)/(-3)
→ m = 786/3
→ [ m = 262 ]
Hence, the value of m is 262.
How do you solve quadratic equations by factoring examples?.
We can use zero product property in a series of steps to find the quadratic equation by factoring.
In mathematics, the zero product property states that if A and B are mathematical expressions, and AB = 0, then A = 0 or B = 0.
The steps that we use to solve a quadratic equation by factoring are as follows:
1- Put the equation in the form ax² + bx + c = 0, where a, b, and c are constants.
2- Factor ax² + bx + c.
3- Use the zero product property to set each factor equal to 0.
4- Solve each of the resulting equations for x.
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