What is Polya's 4 step method?

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The ball's height is 86 feet after one second. h=176t-16t2 calculates the height of a ball in feet after t seconds.

How much time did the ball take to hit the ground When the ball lands, its height (h) is 0 feet. You launch a ball into the air with an initial vertical velocity of 32 feet per second while standing at a height of 5 feet.

Calculate the maximum height of the ball using the vertical motion model, which is h = -16t2 + vt + s, where v is the initial velocity in feet/second and s is the height in feet.

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The best approximate average (arithmetic mean) number of calories per bag is equal to: D) 2,500.

In Mathematics, an arithmetic average is sometimes referred to as arithmetic mean and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the arithmetic average for the number of calories per bag can be calculated by using the following formula:

Arithmetic average = [F(x)]/n

Next, we would determine the total number of calories and then convert to ounces:

Total number of calories, F(x) = 198 + 80 + 159 + 166 + 185

Total number of calories, F(x) = 788 calories.

Note: 1 pound = 16 ounces.

Total number of calories, F(x) = 788 calories × 16 ounces

Total number of calories, F(x) = 12,608 calories.

Now, we can calculate the arithmetic average for the number of calories per bag:

Arithmetic average = [F(x)]/n

Arithmetic average = 12,608/5

Arithmetic average = 2,521.6 ≈ 2,500.

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The amount of money saved by Andre in 40 weeks is $1280.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is Andre saves up the same amount of money each week.

We can write the equation, equating the total amount of money saved and the number of weeks as follows. Assume the equation to be -

y = mx + c

Then -

m = (288 - 224)/(9 - 7)

m = 64/2

m = 32

Now -

y = 32x + c

For the point (7, 224), we can write -

224 = 32 x 7 + c

c = 0

For {x} = 48, we can write the amount of money saved as -

y = 32 x 40

y = 1280

Therefore, the amount of money saved by Andre in 40 weeks is $1280.

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As per the decimal number system, the cost of 25 tickets is $32.5

The term decimal in math is defined as the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point.

Here we have given that the product of 3 student tickets at $4.

Here we have know that the ticket cost for 3 students is $4.

Then the cost of one person is calculated by dividing the cost by the number of students then we get,

=> 4/3

=> 1.3

So, if the cost for one person or ticket is $1.3 then the cost of 25 tickets is calculated as,

=> 25 x 1.3

=> 32.5

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Answer:

There are 5 choices for the first digit, 5 choices for the second digit, 4 choices for the third digit, 3 choices for the fourth digit, and 2 choices for the fifth digit.

Correct option is B, The three zeros are 2, 3, -3.

The zeros of a function are the values of its variables that meet the equation and result in the function's value being equal to 0. The zeros of a function can be represented graphically as the x-coordinates (or x-intercepts) where the graph intersects the x-axis.

If a number's unit digit or end indicates a zero, it is a multiple of 10 and so divisible by 10. As a result, the amount of zeros at the end of every number determines how many times it may be raised to the power of 10.

y= (x-2)(x-3)(x+3)

The zeros of the above function are -

x = 2

x = 3

x = -3

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The value of a is zero.

Now, According to the question:

The given equation is:

a + 5 = -5a + 5

To solve the above equation:

Subtract 5 on both sides

a + 5 - 5 = -5a + 5 - 5

a = -5a

Add 5a on both sides:

6a = 0

Divide both sides by 6

a = 0

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The complete question is this:

How do you solve a + 5 = -5a + 5

The value of R² is 3/2

What are solids ?

A three-dimensional object that is closed (which may, according to some terminology conventions, be self-intersecting). A solid is any constrained area of space that is bounded by surfaces, according to Kern and Bland (1948, p. 18). The sphere, cube, cone, and cylinder, as well as the polyhedra more broadly, are some of the most basic solids.

We can see that EJCI is a rhombus and

Area of rhombus is given by

Area of rhombus  = Lenth of one diagonal * length of another dialonal / 2

Thus,

EC = (a^2 + a^2 + a^2)^0.5

=> EC = a * (3)^0.5

JI = (a^2 + a^2 )^0.5

=> JI = a * (2)^0.5

So,  the area of EJCI = EC * JI / 2

=> Area = (1/2) * (a^2)  * (6)^0.5

Area of face = a^2

R = [ (1/2) * (a^2)  * (6)^0.5] / a^2

=> R = 1/2 * 6^0.5

So, the required R² is

R^2 = (1/4) * 6

=> R^2 = 3/2

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The inequality that represents negative one third is greater than or equal to the product of negative two fifths and a number is: B. negative one third is greater than or equal to negative two fifths y where y is greater than or equal to five sixths.

In Mathematics, an inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:

Note: Let the variable y represent the unknown number.

Next, we would translate the word problem "negative one third is greater than or equal to the product of negative two fifths and a number" into an algebraic inequality as follows;

-1/3 ≥ -2/5 × y

-1/3 ≥ -2y/5

Multiplying both sides of the algebraic inequality by -5/2, we have:

-1/3 × -5/2 ≥ -2y/5 × -5/2

5/6 ≤ y

y ≥ 5/6.

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If 1 inch represents 1.5 feet, we can use this conversion factor to find the length of the actual airplane in feet. Thus 12 inches of model airplane represents an actual length of the actual airplane of 18 feet.

Therefore the answer is 18 feet.

To convert the length of the model airplane (12 inches) to feet, we can multiply it by the conversion factor (1 inch = 1.5 feet)

= 12 inches × 1.5 feet/inch

= 18 feet

So the length of the actual airplane is 18 feet.

It is important to pay attention to the units of measurement when performing conversions and make sure to use the correct conversion factor. And also it's a good practice to always check your answer to make sure it makes sense in the context of the problem.

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Answer:

yes

Step-by-step explanation:

yes

yes

yes

yes

yeyed

yes

Answer:

Step-by-step explanation:

Answer:

To construct a 98% confidence interval with a maximum error of 0.09 pounds and assuming a variance of 1 pound, the minimum sample size can be calculated using the formula:

n = (2 * standard error of the mean / margin of error)^2

Plugging in the values, we get:

n = (2 * (1 / sqrt(n)) / 0.09)^2

Solving for n, we get n = 832.6. Rounding up to the next integer, the minimum number of males over age 27 they must include in their sample is 833.

Step-by-step explanation:

So the expression evaluates to 14 when x = 2.

To evaluate the expression, we first substitute x = 2 into the expression:

5(2 - 6 + 3*2)^2 - 6

There are two methods for solving simultaneous linear equations: graphical methods and algebraic methods. The algebraic technique includes the substitution method as one of its categories.

The value of one variable from one equation is substituted in the second equation using the substitution method. In this manner, a pair of linear equations is reduced into a single linear equation with only one variable, which can then be solved quickly.

Next, we simplify the expression inside the parentheses:

=5(2 - 6 + 6)^2 - 6

=5(2)^2 - 6

=5*4 - 6

=20 - 6

=14

So the expression evaluates to 14 when x = 2.

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No, a TV with a 60 inch diagonal would not fit in an entertainment center that is 52 inches wide and 40 inches high.

Diagonal is a line connecting two or more points that are not in a straight line. It is used to describe the shape of a polygon and also used in mathematics to refer to lines, angles, and shapes. It can also refer to a line, or direction, that is not parallel or perpendicular to something else. In geometry, diagonal lines are used to divide shapes into equal parts, and are used in the construction of polygons. In linear algebra, diagonal lines are used to calculate the determinant of a matrix.

The diagonal measurement of a TV is the length of a line drawn between the opposite corners of the TV. For a 60 inch diagonal TV, the width of the TV would be around 52 inches and the height would be around 33 inches. As the entertainment center is only 40 inches high, the TV would not fit in it.

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Answer:

6/16

Step-by-step explanation:

Answer:

Step-by-step explanation:

15/40 i think

On a graph, an inverse relationship always has a negative slope.

In statistics, if higher values of one variable tend to be related to lower values of the other, there is a negative association or inverse relationship between the two variables.

A negative link between two variables typically denotes a negative correlation, or what is similar in some cases, a negative slope on the associated graph.

Anticorrelation or inverse correlation are other terms for a negative correlation between two variables.

When two variables change in an inverse relationship, they do so in opposite directions: one increases while the other drops, and vice versa.

Y declines as X rises in an inverse relationship.

An inverse relationship always has a negative slope on a graph.

Therefore, on a graph, an inverse relationship always has a negative slope.

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Answer:9

Step-by-step explanation:beacuse if you take 6 by 9 and 10 it will make 2 of 69

The approximate value of ㏒(b) to the nearest hundredth is 1.23.

The other method to write exponents in mathematics is using logarithms. A number's base-based logarithm is equal to some other number. A logarithm performs exponentiation's exact opposite function. 

In Logarithms, ㏒ₐ(b) = ㏒(b)/ ㏒(a)

Given that

The two expressions below have the same value when rounded to the nearest hundredth

=> ㏒₅ (b) = ㏒₉ (48)  

As we know  ㏒ₐ(b) = ㏒(b)/ ㏒(a)

=> ㏒₅ (b) = ㏒(b)/㏒(5)

=> ㏒(b)/㏒(5) = ㏒₉ (48)  

=> ㏒(b) = ㏒₉ (48) ㏒(5)

=> ㏒(b) =  (1.7618)(0.6989)  

=> ㏒(b) = 1.23132202  

=> ㏒(b) = 1.23  

Therefore,

The approximate value of ㏒(b) to the nearest hundredth is 1.23.

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The expression for the perimeter of a square will be p = 4s.

The perimeter of a figure of shape can be gotten the total length of the boundary which the figure or the shape has. it's gotten by adding all the length that the shape has.

It should be noted that a square has four equals sides. The expressions for the perimeter of a square will be:

p = 4 × s.

p = 4s

where s = number of sides.

p = perimeter

For example if the side is 2cm. The perimeter will be calculated by multiplying 4 by the value of the sides. In this case, this will be calculated as:

= Value of sides × 4

= 2 × 4

= 8cm

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Yes, [tex]9x^2-30x +25[/tex]  is a perfect square trinomial.

A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial of the form [tex]ax^2 + bx + c[/tex] meets the requirement [tex]b^2 = 4ac[/tex], it is said to be a perfect square.

Two of your terms will be perfect squares in a perfect square trinomial. This trinomial is not a perfect square trinomial if it lacks two perfect square terms. The square root of each perfect square word should now be determined, combine the two square roots, then multiply the result by two.

This trinomial is a perfect square. The only thing left to determine is whether the middle term matches when you square (3x-5) because both [tex]9x^2=(3x)^2\ and\ 25=52[/tex] are perfect squares. The minus sign was used to at least produce a negative coefficient for the middle term.

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Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

Given that it has three sides and three vertices, a triangle qualifies as a polygon. It is a fundamental geometric figure. Triangle ABC is the term used to refer to a triangle containing the vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are discovered. Triangles are polygons because they have three sides and three corners. The points where the three sides of the triangle converge are referred to as the triangle's corners. Three triangle angles are multiplied to yield 180 degrees.

Here,

Given : Triangle STU is a right triangle.

Thus,

We find :

sides s,t and u

the relationship between them is :

As it is a right triangle

So,

According to the pythagoras theorem,

=>u²= t²+s²

Therefore , the solution of the given problem of triangle comes out to be the relationship between s,t and u is u²= t²+s².

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Yes Jerome's sister is correct.

The answer to the table is given below.

The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"

Given here:

Jerome’s sister told him to multiply both the amount of water and the amount of drink mix by the same number to keep the ratio of water to drink mix the same and still increase the total amount of energy drink.

Drink mix     3  6    9   12   15

water cups   8  16   24  32  40 

we know this is true because to find a ratio equivalent to another we have to multiply the two quantities, by the same number.

Hence, The complete table is shown above.

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The log function with base 10 is called the “common logarithmic functions” and the log with base e is called the “natural logarithmic function”. The logarithmic function is defined by, if logab = x, then ax = b.

The log with a base "e" (log e) is the same thing as In

The natural logarithmic function log e  refers to its logarithmic function of the base of the constant e. For this equation to be equivalent in logarithm;

We can say that:

log e = ln

Logarithm may alternatively be defined as the exponent power to which a base must be raised in order to produce a given number.

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Answer:

One way is to make a factor tree. She below for examples.

Step-by-step explanation:

Answer:

You basically just count jumps of that number

The equations for parts A and B are 170 = 60x + 50 and 210 = 75x + 35 - 10x, respectively.

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.

We have LHS = RHS (left hand side = right hand side) in every mathematical equation.

To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

The statement is not an equation if there is no "equal to" sign in it.

According to our question-

A) It is stated that Maci once earned $170 by grooming dogs.

For each appointment, she charges $60, and she received $50 in tips. Consequently, the equation to illustrate this is;

170 = 60x + 50

the number of appointments is x.

B) Logan earned $210.00 in profit. He charged $75.00 for each session and got $35.00 in gratuities. In addition, he had a $10.00 truck rental fee per appointment. In order to represent this, the equation is;

210 = 75x + 35 - 10x

the number of appointments is x.

C) The quantity of tips they will receive even without an appointment varies between the formulae.

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Answer:

42000

Step-by-step explanation:

Original price (before VAT) is 100% of price.

VAT is 13%, of the original price so final price is 113% of original price.

113% = 1.13

original price = 47460/1.13 = 42000

Answer:

I believe the answer is 3

Step-by-step explanation:

because NO and KL are parallel, they have the same length which is 3 as given in the question description. We also know that KL and NM have the same length. Therefore, NM is also 3.

Answer:

1/2

Step-by-step explanation: