Ethan has an interesting 10-day job offer. He can earn a flat rate of $100 per day or
get paid $1 the first day, $2 the second day, $4 the third day, $8 the fourth day, and
so on. Which payment plan should he take, the flat-rate plan or the increase-per-day
plan? Explain.

The row of tiles would be 24 1/2 inches long.

B:The  row of 10 tiles would be 35 inches long.

A 1. To be able to know the length of the row of tiles, one need to multiply the length of one tile by the number of tiles in the said  row.

So, all tile measures 3 1/2 inches on each side, Hence  the length of one tile is 3 1/2 inches.

Based on the fact that there are 7 tiles in a row, we have to multiply the length of one tile by 7:

Length of the row = 3 1/2 inches/tile x 7 tiles

                              = 24 1/2 inches

So, the row of tiles is 24 1/2 inches long.

B 2. Also, to find the length of a row of 10 tiles, we need to multiply the length of one tile by 10.

Note that:

Length of one tile = 3 1/2 inches

Number of tiles in the row = 10

Hence:

Length of the row = 3 1/2 inches/tile x 10 tiles

                               = 35 inches

So, the row of 10 tiles is 35 inches long.

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Answer:

x=4

Step-by-step explanation:

Answer: You have it right

Step-by-step explanation:

:)

Answer: Kids will get 15 eclaire boxes in the exchange of 76 boxes.

Step-by-step explanation:

Exchange criteria:

1 Ecalaire box free for 5 eclaire boxes.

Total boxes collected by kids =76

Number of eclaire boxes they will get = 76 ÷5

= \(15\dfrac{1}{5}\) or 15 (approx.)

i.e. they will get 15 eclaire boxes in the exchange of 76 boxes.

Let C and T represent the residents that own a car and truck respectively.

Therefore,

Hence, the conditional probability that a person who owns a car also owns a truck is 5%.

Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

Answer:

5

Step-by-step explanation:

========================================================

Explanation:

The observations are in ascending order, which means the set is sorted from smallest to largest.

The X is at the right-most endpoint, so X is the largest value (aka the max).

The min is 33, so,

max - min = range

X - 33 = 58

X = 58+33

X = 91 is the max

Answer:

Step-by-step explanation:

The range of the data is the highest value - the lowest value.

The lowest in the list is 33 so the highest must be 33 + 58

= 91.

Step-by-step explanation:

Heron's formula when all 3 sides (a, b, c) are given :

s = (a + b + c)/2

A = sqrt(s(s-a)(s-b)(s-c))

in our case

s = (34+73+89)/2 = 98

A = sqrt(98(98-34)(98-73)(98-89)) =

= sqrt(98×64×25×9) = sqrt(98)×8×5×3 =

= sqrt(2×49)×120 = sqrt(2)×7×120 =

= sqrt(2)×840 = 1,187.939392... ≈ 1,188 in²

By conducting mathematical operations, we know that John's gross pay will be $1,012 if he works 44 hours a week.

A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.

The supplied operands or integers must adhere to a set of predefined rules that are connected to the symbol of the math operator.

The order of operations refers to the rules that specify how to solve an expression including many operations.

Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction are all referred to as PEMDAS (from left to right).

So, we know that:

John earns $22 per hour for the first 40 hours of a week.

After every additional hour, he earns 1.5 times $22 each hour.

22 * 1.5 = $33

So, John's gross pay if he worked 44 hours will be:

22*40 + 33*4

880 + 132

$1,012

Therefore, by conducting mathematical operations, we know that John's gross pay will be $1,012 if he works 44 hours a week.

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A linear regression equation models the relationship between two variables in the form y = bx + c, using technology such as excel or a linear regression calculator, the following models of the data we obtained.

1.)

y = -1.5x + 19.8

Predicted number in 2011:

x = 2011 - 2003 = 8

y = - 1.5(8) + 19.8 = 7.8

Hence, the predicted number in 2011 would be 8

2.)

y = -0.0192x + 1.656

Predicted population in 2012 :

x = 2012 - 1960 = 52

y = - 0.0192(52) + 1.656 = 657,600

Hence, predicted population in 2012 would be 657,600

3.)

y = 1.31x + 44.38

Predicted number of goals in 2009 :

x = 2009 - 2002 = 7

y = 1.31(7) + 44.38 = 53.55 = 54

The predicted number of goals in 2009 is 54

4.)

y = 0.32x + 1.50

The predicted price in 2015 :

x = 2015 - 2002 = 13

y = 0.32(13) + 1.50 = 5.66

The predicted price in 2015 would be $5.66

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Answer: .01

Step-by-step explanation:

2/5 = 360

Two fifths written as a fraction is 2/5. You can also write it as a decimal by simply dividing 2 by 5 which is 0.40.

If you multiply 0.40 with 900 you will see that you will end up with the same answer as above.

You may also find it useful to know that if you multiply 0.40 with 100 you get 40.00. Which means that our answer of 360.00 is 40.00 percent of 900.

13/15 = 780

7/18 = 350

The coordinates of the other endpoint  of the segment, given its midpoint and one endpoint are (-14, -9)

The Midpoint Formula for a line with endpoints as (x₁, y₁) and (x₂, y₂) is;

((x₁ + x₂)/2, (y₁ + y₂)/2)

We are given the  following;

Midpoint (-15,-6)

End point (-16,-3)

Let x₁ = -16, the x coordinate of the endpoint

Let x₂ = the x coordinate of the unknown endpoint

Let y₁ = -3, the y coordinate of the endpoint

Let y₂ = the y coordinate of the unknown endpoint

Thus, for the x coordinate of the unknown endpoint;

(x1 + x2)/2

(-16 + x₂)/2 = -15

-16 + x₂ = -30

x₂ = -14

For the y coordinate of the unknown endpoint;

(y1 + y2)/2

(-3 + y₂)/2 = -6

-3 + y₂ = -12

y₂ = -12 + 3

y₂ = -9

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Answer:

f(8)= - 3 × 8 + 3

f(8) = - 21......

Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

The value of the line segment TU is 12 units.

A line segment is a fixed-length section of the a line to two ends.

According to the question;

TU = x + 8 and ST = 3x are the lengths.

SU is the total length of the line segment.

Now, it is clear that SU is divided into parts such that;

SU = ST + TU

As, T is the mid point of the line SU;

The,

ST = TU

Equating the values;

3x = x + 8

Solving the equation;

3x -x = 8

x = 4

Put the value of x in TU;

TU = x + 8

TU = 4 + 8

TU = 12

Therefore, the value of the line segment TU is found as 12 units.

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Answer:

The minimum number of people over age 45 they must include in their sample is 305.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1 - 0.98}{2} = 0.01\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).

That is z with a pvalue of \(1 - 0.01 = 0.99\), so Z = 2.327.

Now, find the margin of error M as such

\(M = z\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

Standard deviation of 0.6 liters

This means that \(\sigma = 0.6\)

What is the minimum number of people over age 45 they must include in their sample?

This is n for which M = 0.08. So

\(M = z\frac{\sigma}{\sqrt{n}}\)

\(0.08 = 2.327\frac{0.6}{\sqrt{n}}\)

\(0.08\sqrt{n} = 2.327*0.6\)

\(\sqrt{n} = \frac{2.327*0.6}{0.08}\)

\((\sqrt{n})^2 = (\frac{2.327*0.6}{0.08})^2\)

\(n = 304.6\)

Rounding up:

The minimum number of people over age 45 they must include in their sample is 305.

Answer:9& 5

Step-by-step explanation:

The answer of the given question based on the cost of mailing is , the cost of mailing a 2.5-ounce letter to Vienna, Austria would be $6.63 (rounded to the nearest cent).

An equation is  mathematical statement that shows  two expressions are equal. It contains variables, constants, and mathematical operations like  addition, subtraction, multiplication, and division.

For example, a simple equation could be:

2x + 3 = 9

The equation y = 0.25x + 6.00 represents the cost y of mailing a letter to Vienna, Austria based on the weight x of the letter in ounces. The flat rate of $6.00 is represented by the constant term 6.00 in the equation, and the additional charge of $0.25 per ounce is represented by the coefficient of x, which is 0.25.

To use this equation to determine the cost of mailing a specific letter, you would need to know the weight of the letter in ounces. You could then substitute this value for x in the equation and solve for y, which would give you the cost of postage in dollars.

For example, if a letter weighs 2.5 ounces, you could plug in x = 2.5 into the equation:

y = 0.25(2.5) + 6.00

y = 0.625 + 6.00

y = 6.625

So the cost of mailing a 2.5-ounce letter to Vienna, Austria would be $6.63 (rounded to the nearest cent).

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Answer:

-14/4 or -21/6 or -28/8 etc.

Step-by-step explanation:

If you multiply the fraction by 2/2 or 3/3 or 4/4 or n/n the fraction will stay the same because you are essentially multiplying by 1. Hope it helps!

Can you do plsssssssss

help me plssssssssssss meee

Using the simple interest relation, the annual simple interest rate received by the third party is 11%

The interest rate = 12%

The daily interest rate on the fee can be calculated thus :

Of the initial 90 days, 30!days has elapsed, hence, the annual simple interest rate recuved by the third party would be :

(0.0333% × (360 - 30)) = 11%

Hence, the annual simple interest rate received by the third party is 11%.

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The value of b from the equation is b= 4.6.

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. LHS = RHS is a common mathematical formula.

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:

We have y=0.3x +b goes through the point M(-2,4).

Now, put the values as x= -2 and y= 4 in the given equation we get

y=0.3x +b

4 = 0.3 (-2) + b

4 = -0.6 + b

Add 0.6 both side we get

4 + 0.6 = -0.6 + b + 0.6

4.6 = b

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Answer:

Below

Step-by-step explanation:

y=2x + 4

-7x + 6y=14       Sub in the value of y given in the first equation

-7x + 6 ( 2x+4) = 14

-7x + 12x + 24 = 14

5x = -10

x = -2              use this value in one of the equations to calculate y= 0

Answer:

y=-4, x=8

Step-by-step explanation:

1)3x+5y=4

2)2x+3y=4

Make 1 and 2 have the same co-efficient of x or y (i chose x as it is easier to get to 6 then 15)

Label the 2 new equations as 3 and 4

3)6x+10y=8

4)6x+9y=12

Now we can take away to give

y=-4

Now we substitute this into 1 or 2

I chose 2:

2x+3(-4)=4

2x=4+12

2x=16

x=8

Answer:

x = 8

y = -4

Step-by-step explanation:

Multiply the first equation by 2:

⇒ 3x + 5y = 4  ⇒  6x + 10y = 8

(we will call this equation 3)

Multiply the second equation by 3:

⇒ 2x + 3y = 4  ⇒  6x + 9y = 12

(we will call this equation 4)

Subtract equation 3 from equation 4 to eliminate the x variable:

     6x + 9y = 12

-    6x + 10y = 8

              -y = 4

Therefore, y = -4

Substitute y = -4 into one of the equations and solve for x:

3x + (5 x -4) = 4

⇒ 3x - 20 = 4

⇒ 3x = 24

⇒ x = 8

Part A : The domain of this function is [3, ∞) as (x - 3) ≥ 0.

Part B : The range of this function is (- 17, ∞).

Part C : The vertical and horizontal asymptotes of this function are 3 and 2 respectively.

The interval at which the graph is positive is (3, 28)

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x) is defined by g(x) = - log4(x - 3) + 2.

The domain of this function is [3, ∞) as (x - 3) ≥ 0.

The range of this function is (- 17, ∞).

The vertical and horizontal asymptotes of this function are 3 and 2 respectively.

The interval at which the graph is positive is (3, 28)

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Step-by-step explanation:

20 ml is your answer

i hope it helps u

Answer:

If I'm reading it correctly the answer should be 20.

To get that answer all you do is 4x5.

Answer:

<SPQ = 110°

Step-by-step explanation:

<QRS = 110°

<SPQ = <QRS ( BEING OPPOSITE ANGLES OF PARALLELOGRAM)

<SPQ = 110°

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