Use the following table of index numbers based on the price of a pound of coffee. The index numbers use 2012 as the
base year. If you spent $4.48 for a pound of coffee in 2015, what would the price have been in 2009?
Year
Coffee index
2005
75.3
2012 2013 2014 2015
2006 2007 2008 2009 2010 2011
77.6 81.4 87.1 89.8 93.4 96.2 100.0 103.0 107.1 114.6
***

Answer:

that would be:::

2(p+q)

Answer:

21.98/C

Step-by-step explanation:

The equation for circumference is pi(d).

so 3.14*7 is about 21.98

Answer:

Step-by-step explanation:

let the original price be x

discount is 25%, .25x

discounted price x-.25x=.75x

112.50=.75x

x=150 was the membership selling before the discount

\(\text{Let the number be x.}\\\\\text{The expression is}~ (x+8)(x-5)\)

Answer: Minimum sample size = 110

Step-by-step explanation:

Formula to find minimum sample size :

\(n=(\dfrac{z\times s}{E})^2\) , where z = critical z-value for confidence level, s= sample standard deviation , E = margin of error

Given: E= 4 , s= 18

Critical z-value for 98% confidence = 2.327

So,  \(n=(\dfrac{2.327\times18}{4})^2\)

\(=(\dfrac{41.886}{4})^2\\\\=(10.4715)^2=109.65231225\approx110\)

Minimum sample size = 110

Using the triangle rule, the length of the third side falls between 5 cm and 29 cm.

In the given question,

The measurements of two sides of a triangle are 12 cm and 17 cm.

We have to find which side length could be the measurement of the third side of the triangle.

We know that,

The sum of the length of any two sides is always greater than the third side.

The given sides of triangles are 12 cm and 17 cm.

Hence, the length of the third side should be shorter than the total of the other two sides,

12 + 17 = 29 cm.

Considering that the third side must be less than the difference between the first two sides,

17 – 12 = 5 cm

So, the length of the third side falls between 5 cm and 29 cm.

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Answer:

2 forms

Step-by-step explanation:

hope this helps <3

\( \sf \longrightarrow \: \frac{8}{5} \div 6 \\ \)

\( \sf \longrightarrow \: \frac{5}{8} \times 6 \\ \)

\( \sf \longrightarrow \: \frac{5 \times 6}{8} \\ \)

\( \sf \longrightarrow \: \frac{30}{8} \\ \)

\( \sf \longrightarrow \: \frac{8}{30} \\ \)

\( \sf \longrightarrow \: 0.26 \\ \)

_____________________________

Correct option is,

A: number of cars; money raised; 30 to 100 cars; $600 to $2000 is the right option.

Since, An independent variable is a variable that represents a quantity that is being controlled  in an experiment.

A dependent variable represents a quantity whose value depends on how the independent variable is controlled.

Now, In the given question;

The number of cars represents the independent variable while money raised represents independent variable .

Domain is the set of values the independent variable can take .

The number of cars 30 to 100 represents the Domain.

The range is corresponding y values .

The charge per car is $20.

Hence, Range = 30 x 20

                       =600

to Range = 100 x 20

              = 2000.

Thus, Correct option is,

A: number of cars; money raised; 30 to 100 cars; $600 to $2000 is the right option.

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Complete question is,

The French club is holding a car wash fundraiser. They are going to charge $20 per car, and expect between 30 and 100 cars. Identify the independent and dependent quantity in the situation, and find reasonable domain and range values.

A: number of cars; money raised; 30 to 100 cars; $600 to $2000

B: money raised; number of cars; 30 to 100 cars; $600 to $2000

C: number of cars; money raised; $600 to $2000; 30 to 100 cars

D: money raised; number of cars; $600 to $2000; 30 to 100 cars

Answer:

W = 50 + 2.7h

Step-by-step explanation:

A function shows the relationship between two variables (the independent variable and the dependent vaariable). The independent variable is a variable that is independent of any other variable, i.e it is the input of the function while the dependent variable is dependent on other variables hence it is the output of the function.

Given that the weight  of a woman is 50 kg+2.7 kg for each inch over 5 feet. If h is the height over 5 feet ( in inches), the weight (W) can be represented by:

W = 50 + 2.7h

W is in kg

Both students' claims are incorrect because the correct expression is - product of 9 and the product of 3 and t gets divided by y.

Regarding the posed issue:

The given equation:  9(3t)/ y

It is clear that 9, 3 and 't' are in the multiplication and y is with the division of the that.

Thus, both students' claims are incorrect because the correct expression is - product of 9 and the product of 3 and t gets divided by y.

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Answer:

95%

Step-by-step explanation:

Confidence interval:

Mean (m) ± Tcrit * s/sqrt (n)

s = standard deviation = 1

Lower boundary = m - Tcrit * s/sqrt (n) - - - (1)

Upper boundary = m + Tcrit * s/sqrt (n) - - - (2)

m - Tcrit * s/sqrt (n) = 5.588 - - - (1)

m + Tcrit * s/sqrt (n) = 6.412 - - (2)

Subtracting (1) and (2)

-2Tcrit * s/sqrt (n) = - 0.824

Tcrit = [0.824 * sqrt(n)] / 2 * s

Recall:

s = 1

[0.824 * sqrt(n)] / 2 * 1

Sample size = n = 25

[0.824 * sqrt(25)] / 2

[0.824 * 5] ÷ 2

Tcrit = 2.06

Hence, we use the t table to obtain the significance level which gives a t value of 2.06 at (n-1) = (25 - 1) = 24 degrees of freedom.

Significance level α = 0.05

(1 - 0.05) * 100%

0.95 * 100% = 95%

Answer:

33.33%

Step-by-step explanation:

Formula for calculating Percentage change =

New Price - Old Price     x 100

         Old Price                        1

Where new price is $8

Old Price is $6

Step 2: Input the variables in the above formula

          $8 - $6    x    100

            $6                 1

        =   $2      x  100

             $6

= $0.333 x 100 =    33.33%

Percentage change  = 33.33%

First find the area of the square, then the triangle.

15 times 17 = 255 sq. yd

Triangle:

(5 times 5)/2 = 12.5 sq. yd

Your answer is 267.5 sq. yd

Hope this helps.

Step-by-step explanation:

Parallel to the x-axis means it is just a horizontal line with the value being the y-coordinate of the point:

y = -2

Answer:

y=-2

and m=0 must be your answer

Step-by-step explanation:

as line is parallel to x axis its slope will be zero as it does not have any definite x coordinate

so

equation of line is y-y'=m(x-x')

so m=0 m is slope

y'=-2 and x'=4

so by substituting the values

y+2=0

so y=-2

and m=0 is your answer

The probability of the washers arranged by size is 2.755731 ( six decimal places).

Probability

We can arrange them in 10! = 3628800 different ways.

There is only one way to arrange them in size order.

The washers arranged by size have a probability of

1/3628800 = 2.75573192          

                   ≈ 2.755731 (six decimal places)          

Therefore, The probability of the washers arranged by size is 2.755731

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Answer:

A common fraction is a fraction whose denominator is the same with another fraction.

$$$\sqrt{x} \div\sqrt{y}$$ as a common fraction is \sqrt \frac{x}{y}}

The expression is given as:

$$$\sqrt{x} \div\sqrt{y}$$

Express as fraction

$$$\sqrt{x} \div\sqrt{y} = \frac{\sqrt x}{\sqrt y}$$

Rewrite as a common fraction

$$$\sqrt{x} \div\sqrt{y} = \sqrt \frac{x}{y}}$$

Hence, $$$\sqrt{x} \div\sqrt{y}$$ as a common fraction is \sqrt \frac{x}{y}}

Answer:

Ask your teacher. sorry, this is so hard

Answer:

triangle ABC and triangle HFG, I know it is filled out as DCE, but I don't see any triangle DCE

Step-by-step explanation:

check the sides and the angles

The total cost for plumber number 1 expressed as a function of x is

c1(x)=45x+90

That is, the charge per hour times the number of hours plus the fixed charge for a visit.

Using the same pattern, write the function for the second plumber. Then set the two functions equal to each other and solve for

Answer:

what is the answer to 4 984

Answer:

10x+5y=1500

Step-by-step explanation:

I don't know how to explain this but i think this is right.

For the function,

F(x)  = (x² + 11x +28)/(x² + 8x + 15) limit doesn't exist at x = -5 so it is dis-continuous at that point.

In mathematics, The function is called as continuous at the particular value of x,  if right hand limit, left hand limit and the value of function at x all are equal.

RHL   = LHL  = F(x)

Limit exist and continuous

Given that,

F(x)  = (x² + 11x +28)/(x² + 8x + 15)

To check whether it is continuous at x = -5

First taking LHL,

\(\lim_{h \to \ 0}\) [(-5-h)² + 11(-5 -h) +28]/[(-5 -h)² + 8(-5 -h) + 15]

It is approaching at negative infinity

Now, taking RHL

\(\lim_{h \to \ 0}\)  [(-5+h)² + 11(-5 +h) +28]/[(-5 +h)² + 8(-5+h) + 15]

Again, It is approaching at negative infinity

Hence, here limit doesn't exist so it is not continuous at x = -5

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Answer:

Step-by-step explanation:

Hello!

Be X: air pressures of properly inflated sports balls.

Average recommended psi Tolerance(pounds per square inch)

Soccer ball 12.05 ±3.55

Basketball 8.00 ±0.5  

Volleyball  4.44 ±0.18

Each recommendation is expressed like the "average air pressure" ± "standard deviation of the recommended air pressure" so if you express it in inequality it will be:

X[bar]-S ≤ X ≤ X[bar]+S

So for each ball type, you can write it as:

Soccer ball

12.05-3.55 ≤ X ≤ 12.05+3.55

8.5 ≤ X ≤ 15.6

Basketball

8.00-0.5  ≤ X ≤ 8.00+0.5

7.5  ≤ X ≤ 8.5

Volleyball

4.44-0.18 ≤ X ≤ 4.44+0.18

4.26 ≤ X ≤ 4.62

I hope this helps!

Answer:

Soccer ball: 8.5 <= lxl <= 15.6

Basketball: 7.5 <= lxl <= 8.5

Volleyball: 4.26 <= lxl <= 4.62

Step-by-step explanation:

hope this helps

Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).

The zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.

Looking at the provided options:

A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.

B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.

C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.

D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.

So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.

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Answer:

-57.6=x

Step-by-step explanation:

-22.3= x/3-3.1
-19.2=x/3
-57.6=x

This statement essentially establishes a relationship between the sets X, Y, and z, stating that there exists a subset Y for each element x in X such that the elements in Y are present in some subset z of X.

The given statement is a symbolic representation of a logical proposition involving quantifiers and logical connectives. Let's break down its meaning:

∀ X ∃ Y ∀u(u ∈ Y ↔ ∃z(z ∈ X ∧ u ∈ z))

The symbol ∀ (universal quantifier) indicates that the statement applies to all elements in the set X.

The symbol ∃ (existential quantifier) indicates that there exists at least one element in the set Y.

The statement can be interpreted as follows:

"For all elements x in the set X, there exists a set Y such that for every element u in Y, u is an element of Y if and only if there exists a set z in X such that u is an element of z."

In simpler terms, the statement asserts that for every element x in the set X, there is a set Y that contains elements u if and only if there exists a set z in X that also contains u.

It is important to note that the precise meaning and implications of this statement may depend on the context and interpretation of the sets X, Y, and their elements.

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64.8 miles will be the distance travelled by Anthony.

Two or more expressions with an Equal sign is called as Equation.

Given that Anthony bikes a 16.2-mile long trail.

If Anthony bikes it 4 times we need to find how far Anthony traveled.

By means of multiplication we find the distance traveled by Anthony.

Multiplication is a method of finding the product of two or more numbers

Now multiply 16.2 with 4

16.2×4

64.8 miles

Hence, 64.8 miles will be the distance travelled by Anthony.

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417674700. There’s a number of ways to do this, I can’t really explain on this but if you look up on Google “how to multiply large numbers without a calculator” there are plenty tutorials.

Answer:

417674700

Step-by-step explanation:hope these helped and have a wonderful thanksgiving day!!

Answer:

8

Step-by-step explanation:

Question:

What is the greatest common factor of 32 and 40?

Find the factors of 32 and 40:

The factors are all the numbers the we can divide 32 or 40 by, and the result will be a whole number. Example:32/1= 32, 32/2= 16, yet 32/3 = 10.6 not a whole number so 3 is not a factor of 32.

Factors of 32: 1, 2, 4, 8, 16, 32

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

Find the greatest factor that is common for both 32 and 40 ( the GCF):

Factors of 32: 1, 2, 4, 8, 16, 32

Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

GCF is 8

Answer:

B. 5

Step-by-step explanation:

The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator.

example, 2,10,21,23,23,38,38

38 - 2 = 36

Answer:

B. 5

Step-by-step explanation:

All you have to do is subtract the highest number by the smallest number so i just had to do:

8-3=5