11. Tionna has $4.00 in dimes and
quarters in her car. She
counts a total of 25 coins.
Define the variables and write
a system of equations that
could be used to find a
solution.

Yes, 1 is a monomial, a unique type of polynomial.

You must first understand what a word is. A term is a real number multiplied by one or more variables, each of which has been raised to a power. Remember that a constant might appear in a phrase when a variable is multiplied by itself to the power of 0. (which is 1). A polynomial is just the sum of one or more terms that meet the criteria listed below:

1] There are no variables to split the words into.

The variables' exponents are whole numbers, e.g. 0, 1, 2, 3, etc.

Thus, 1 is just 1*(x0).

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To determine whether the sequence converges or diverges, we can use the Squeeze Theorem.

We can see that

[tex]4/(n + 5n^2) < = An < = (4 + 3n^2)/(n + 5n^2)[/tex]

As n tends to infinity, [tex]4/(n + 5n^2)[/tex]  tends to 0 and[tex](4 + 3n^2)/(n + 5n^2)[/tex]  tends to[tex]4/(5n^2)[/tex]  which also tends to 0.

So by the Squeeze Theorem, we can say that An tends to 0 as n tends to infinity. Hence the limit of the sequence is Lim n-> An = 0

We can also see that the numerator of An is a constant and the denominator is a polynomial with degree 2. Since the denominator's degree is greater than the numerator, the limit will be zero as n -> infinity.

Therefore, the sequence converges to 0.

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We calculate the percentage of black paint in each mix by dividing the amount of black paint by the total amount of paint and multiplying by 100. Julian's mix has a black paint percentage of 52.94% while Harper's mix has a black paint percentage of 58.33%. Therefore, Harper's gray paint will be darker.

The first step to determine whose gray paint will be darker is to calculate the percentage of black paint each student has in their mix. To find this, one must know that the percentage is calculated by dividing the part (the quantity of black paint) by the whole (the total amount of paint) and then multiplying by 100.

Julian's percentage of black paint: (9 cups black / 17 total cups) * 100 = 52.94%

Harper's percentage of black paint: (7 cups black / 12 total cups) * 100 = 58.33%

Since the percentage of black paint correlates with the darkness of the gray paint, Harper's gray paint will be darker because it contains a higher percentage of black paint.

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The two angle of the right triangle are found as 30 degrees and 60 degrees.

Less than 90 degrees is considered an acute angle. Right angles have a 90 degree angle. More than 90 degrees is found in obtuse angles.

By using angle sum property of right angle triangle:

x + 2x + 90 = 180

3x = 90

x = 30 (one angle)

2x = 60 (Other angle)

Thus, the two acute angle of the right triangle are found as 30 degrees and 60 degrees.

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Craig's savings is c-48=16

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given:

Let craig's savings be c then we have c-48=16

                                                                  c=64

Hence, craig's savings is 64

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The type of function which f(x)=x^3 is the cubic function.

What is a cubic function?

A cubic function is a function in mathematics where the variables x can take on real values and the coefficients a, b, c, and d are complex numbers. In other words, it is a real function as well as a polynomial function of degree three.

F(x) = x³ denotes the "basic" cubic function. It is depicted in the graph below. The greatest power over the x variable(s) in a cubic function is 3. The graph can be made "wider" or "skinnier" by the coefficient "a," or it can be reflected (if the value is negative): The graph's y-intercept serves as the constant "d" in the equation.

A cubic function equation is of the form f(x) = ax³ + bx² + cx + d, where a, b, c, and d are constants (or real numbers) and a ≠ 0.

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The missing number of points scored in the last basketball game is 13.

What is the meaning of the data set?

A data set is a grouping of data. A data set refers to one or more database tables in the case of tabular data, where each column of a table represents a specific variable and each row corresponds to a specific record of the data set in question.

Given that,

the number of points scored in the last basketball game by each player on the Dragons basketball team are 7, 5,8,11,7,5,?.

Assume that the missing point is x.

The sum of points is 7+5+8+11+7+5+x = 43 + x.

The number of points is 7.

The mean is the sum of points/number of points

= (43+x)/7

Given that the mean of the data set is 8 points.

Therefore,

(43+x)/7 = 8

Multiply both sides by 7:

43+x = 8×7

43 + x = 56

x = 56 - 43

x = 13

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Therefore , the solution of the given problem of unitary method comes out to be $54.

A single or distinct unit variable is referred to as being "unitary". Therefore, the goal of this technique is to define values in favor of a finite unit. For instance, the unitary method can be used to calculate how many kilometers a car will travel on one litre of gas if it goes 44 on two.

Here,

Given :

In place of every two sugar cookies, Natalie orders five chocolate chip cookies.

In total, she needs 42 cookies. Each sugar cookie costs $0.75, while each chocolate chip cookie costs $1.50.

thus ,

total cost is : 30 * 1.50 + 0.75*12

=> 54

Therefore , the solution of the given problem of unitary method comes out to be $54.

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Answer:

Step-by-step explanation:

if x were starting at 0, we would have

y = (x - 7)×7 = 7x - 49

but we start at x = 57. We need adjust for these extra 57 to get the above equation.

so, it

y = (x - 57 - 7)×7 = (x - 64)×7 = 7x - 448

so, for

y = (x - 64)×7

I choose x = 57

y = (57 - 64)×6 = -7×7 = -49

for

y = 7x - 448

I choose x = 58

y = 7×58 - 448 = 406 - 448 = -42

from this form we get the y-intercept (the y- value when x = 0) : -448

Exact solution are - 1.2, -1, -0.1, 0.75 and approximate solution are -0.012, -0.01, -0.001, 0.0075.

The solution that has no uncertainly is known as exact solution. On the other hand, the solution that has some confusion is termed as approximate solution.

exact solution, y = - 1.2

                         m = - 1

                       n= - 0.1

                      w = 0.75

approximate solution in nearest hundredth,

                          y = - 0.012

                       m = -0.01

                      n = - 0.001

                   w = 0.0075

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Equation of opened downward parabola is (x - 1) ²= - 4/5 (y - 25/4)

Parabola is a curve created by the intersection of a cone and a plane. Generally, parabola is U shaped and either open in downward or opened in upward direction.

The formula for opened downward parabola is given by (x - h) ² = - 4p (y - k)

as the parabola contains the points (0, 5) (2, 5) and (- 2, -5)

so, the equation can be (0 -h) ² = - 4p(5 - k)   [ put the value (0, 5)]

                                       h² = - 20p+4pk ..... equation 1

while putting the value (2, 5) we have the equation of parabola.

  (2 - h) ² = - 4p(5 - k)

   4 - 4h + h ² = - 20p + 4pk .... equation 2

from the equation 1 and 2, the right-hand side is similar.

hence, 4 - 4h +h² = h²

       4 = 4h

      h = 1

put h =1 in the equation 1 we get, 1 = - 20p + 4pk .... equation 3

when we put the value ( -2, -5) in the formula.

(- 2- h) ² = - 4p ( -5 -k)

( -2 -1) ² = 20p +4pk

9 = 20p +4pk ....... equation 4

from equation 4 and equation 3

we get, 9 = 20p +4pk

               1 = - 20p+ 4pk

               -      +       -

solve by addition method and we get, 8 = 40p

                                                           p = 1/5

  from h = 1 and p = 1/5 we get the value of k from equation 3

  1 = - 20/5 + 4/5k

 k = 25/4

now the equation of opened downward parabola will be.

(x - 1) ² = - 4/5 (y - 25/4)

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The measure of 100 inches is given by the equations ,

100 inches = 2.77778 yards

100 inches = 8.33334 feet

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 100 inches   be equation (1)

Now , the measure of 1 inch = 0.08333 feet

So , the measure of 100 inches = 100 x measure of 1 inch

Substituting the values in the equation , we get

The measure of 100 inches = 8.33334 feet

And , 1 inch = 0.0277778 yard

So , the measure of 100 inches = 2.77778 yards

Hence , the measure of 100 inches is 8.33334 feet

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Answer:

Step-by-step explanation:

The solution is the set of all points (x,y) that satisfy the inequalities:

y < 2x + 4,  y < x/4 - 3, x + 3 = y, and 2x - 6 + 2 = y.

What is the graph of a function?

The graph of a function is a visual representation of the relationship between the input values (x-coordinates) and the output values (y-coordinates) of the function. In other words, it is a visual representation of the function's rule.

The graph of a function can take many different forms, depending on the function's rule. Linear functions, for example, will produce a straight line on the graph.

i) 2y - 4x < 8 can be solved by adding 4x to both sides and then dividing by 2, giving:

y < 2x + 4.

ii) -4y > -x + 12 can be solved by adding x to both sides and then dividing by -4, giving: y < x/4 - 3.

iii) | x + 3 | = y, you can split this into two cases:

i. x + 3 = y

ii. -(x + 3) = y

iv) |2x – 6| + 2 = y, you can split this into two cases:

i. 2x - 6 + 2 = y

ii. -(2x - 6) + 2 = y

We can use these equations to plot the graph on a coordinate plane.

Hence, the solution is the set of all points (x,y) that satisfy the inequalities:

y < 2x + 4,  y < x/4 - 3, x + 3 = y, and 2x - 6 + 2 = y.

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The area of a (equilateral) triangle with side 8cm is 16√3cm^2.

What is a triangle and its types?

A figure which has a three-sided closed figure is called a triangle.

Types

Equilateral Triangle

A triangle where all the sides are the same is called an equilateral triangle.

Isosceles Triangle

When two of the sides of a triangle are the same it’s called an isosceles triangle. It’s a hard one to spell, but an easy one to recognize!

Scalene Triangle

In our last triangle, none of the sides have the same length, so this is called a scalene triangle.

Acute Triangle

when the largest angle in the triangle  is less than 90, that is an acute triangle. Just remember that acute angles are less than 90 degrees.

Right Triangle

When the largest angle is exactly 90 degrees. You might remember that a 90-degree angle is a right angle, so this triangle is a right triangle.

Obtuse Triangle

When largest angle is more than 90 degrees, this is an obtuse angle, so we call this triangle an obtuse triangle.

Area of an equilateral triangle whose side is 8 cm is √3/4*a^2 where

a=8

= √3/4*8^2

= √3/4*64

= √3*16

Area=16√3

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As consumerism is wiping out American society, Sasse claims that young people have based their achievements and achievements on material goods.

He said parents influenced this by creating a population of young people who are empty in spirit and who will lead American society to grow without direction and positioning.

To support this claim, he provides details on how the country did not encouraged the children to have experiences, conquer and walk their paths, thereby resisting consumerism and presenting the rewards of hard work.

What is the central idea of the Vanishing American Adult?

Sasse tried to explore the causes of a generation that can't grow up in "The Vanishing American Adult" and offers a path for raising children to be active and engaged citizens.

He identifies core formative experiences that all young people should pursue: hard work to appreciate the benefits of labor, travel to understand deprivation and want, the power of reading, the importance of nurturing your body, and how parents can encourage them, and explains how they can be encouraged.

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Because he invented geometry, Euclid, a renowned mathematician, is frequently referred to as the father of geometry.

Constructions using a compass and a straightedge were a focus of classical geometry. Euclid, who brought mathematical rigour and the axiomatic technique still in use today, transformed geometry. Up until the middle of the 20th century, all educated people in the West were familiar with his book, The Elements, which is usually regarded as the most important textbook of all time.

Current geometric notions have undergone a high level of abstraction and complexity as well as calculus and abstract algebra techniques, resulting in several modern sections of the science that are hardly recognizably descended from early geometry.

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Answer:

I can't comment, but we can't see what we are supposwd to bw doing

Answer:

Step-by-step explanation:

1-6

3-2

4-1

Answer:

First you do what is in the parentheses.

2+4= 6

The equation is now:

6(6) -1 / 2 *3 + 1 =

Then you do the division:

-1 / 2 = -0.5

6(6) (-0.5) * 3 + 1 =

3 + 1 = 4

-0.5 * 4 = -2

The equation is now:

6 * 6 * -2

6 * 6 = 36

36 * -2 = -72

Answer:

Its proportional

Step-by-step explanation:

Answer:

Proportional

Step-by-step explanation:

36/3 = 12

60/5 = 12

96/8 = 12