6 pounds of coffee costs $14.99what is the cost per ounce

Answer:

\(|F'H'| = 2 * |FH|\)

Step-by-step explanation:

Given

\(E = (0,1)\)             \(E' = (-1,2)\)

\(F = (1,1)\)             \(F' = (1,2)\)

\(G = (2,0)\)             \(G' =(3,0)\)

\(H = (0,0)\)            \(H' = (-1,0)\)

\((x,y) = (1,0)\) -- center

\(k = 2\) --- scale factor

See comment for proper format of question

Required

Compare FH to F'H'

From the question, we understand that the scale of dilation from EFGH to E'F'G'H is 2;

Irrespective of the center of dilation, the distance between corresponding segment will maintain the scale of dilation.

i.e.

\(|F'H'| = k * |FH|\)

\(|F'H'| = 2 * |FH|\)

To prove this;

Calculate distance of segments FH and F'H' using:

\(d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\)

Given that:

\(F = (1,1)\)             \(F' = (1,2)\)

\(H = (0,0)\)            \(H' = (-1,0)\)

We have:

\(FH = \sqrt{(1- 0)^2 + (1- 0)^2}\)

\(FH = \sqrt{(1)^2 + (1)^2}\)

\(FH = \sqrt{1 + 1}\)

\(FH = \sqrt{2}\)

Similarly;

\(F'H' = \sqrt{(1 --1)^2 + (2 -0)^2}\)

\(F'H' = \sqrt{(2)^2 + (2)^2}\)

Distribute

\(F'H' = \sqrt{(2)^2(1 +1)}\)

\(F'H' = \sqrt{(2)^2*2}\)

Split

\(F'H' = \sqrt{(2)^2} *\sqrt{2}\)

\(F'H' = 2 *\sqrt{2}\)

\(F'H' = 2\sqrt{2}\)

Recall that:

\(|F'H'| = 2 * |FH|\)

So, we have:

\(2\sqrt 2 = 2 * \sqrt 2\)

\(2\sqrt 2 = 2\sqrt 2\) --- true

Hence, the dilation relationship between FH and F'H' is::

\(|F'H'| = 2 * |FH|\)

Answer:NOTT !!  A segment in the image has the same length as its corresponding segment in the pre-image.

Step-by-step explanation:

Answer:

the answer is 54522

Step-by-step explanation:

hope it helps

Answer:

it is 54522 hope it helps

slope = -2

y intercept = 6

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

Explanation:

Let's find the slope

m = (y2-y1)/(x2-x1)

m = (2-4)/(2-1)

m = -2/1

m = -2

The slope is -2

Let's use this slope along with the first point to get the y intercept

y = mx+b

y = -2x+b ... plug in the slope we found earlier

4 = -2*1+b ... plug in the coordinates of the point (1,4)

4 = -2+b

4+2 = -2+b+2 .... adding 2 to both sides

6 = b

b = 6

The y intercept is 6

The equation y = mx+b turns into y = -2x+6 since m = -2 is the slope and b = 6 is the y intercept.

Answer:

6/3 or 2 (you should probably write 2 though)

(there’s a couple notes in the pic too that will help you with slopes)

Answer:

Procedures:

1.) The GCF of a number is the greatest factor/number that you can divide from all the numbers.

2.) The GCF of an exponent is the least value.

ANSWER: 12a² and 38a⁴b²

GCF = 2a²

Factored Form = 2a²(3+19a²b²)

The function can be defined as  price = 6x

It will cost $150 to buy 25 reams of paper.

The domain of the function is all non-negative real numbers, since the number of reams bought cannot be negative.

The range of the function is all non-negative real numbers, since the price cannot be negative.

Fir 25 items, price = 6(25) = $150

It will cost $150 to buy 25 reams of paper.

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Answer:

Tossing a coin twice; A ={no Heads}, B={at least 1 Head}

Step-by-step explanation:

Mutually exclusive:

If two events are mutually exclusive, if one events happen, the other cannot happen, and vice-versa.

Rolling a die; A={Rolling an even number}, B={Rolling a number greater than 4}

A die has the following outcomes: 1,2,3,4,5,6

Even numbers: 2,4,6

Greater than 4: 5, 6

6 is an outcome of both events A and B, so they are not mutually exclusive.

Picking a card; A= {Selecting a 7}, B={Selecting a Heart}

Cards numbered from 1 to 13, each number with 4 types. So we can have a card of hearts numbered 7, which means that these events are not mutually exclusive.

Tossing a coin twice; A ={no Heads}, B={at least 1 Head}

If you get no heads, the probability of at least 1 head is 0.

If you get at least 1 head, the probability of no heads is 0.

This means that this is the answer, that is, these events are mutually exclusive.

Rolling two 6-sided dice; A={rolling a sum of 4}, B={rolling a 3 on one die}

(3,1) or (1,3) has a sum of 4 and a 3 on one die, which means that these events are not mutually exclusive.

keeping in mind that a year has 12 months, thus 9 months is really 9/12 of a year, then

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$28500\\ r=rate\to 5.6\%\to \frac{5.6}{100}\dotfill &0.056\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases} \\\\\\ I = (28500)(0.056)(\frac{3}{4}) \implies I = 1197\)

Step-by-step explanation:

Just multiply the two dimensions to get m^2  area

7.2 m * 11 m = 79.2 m^2

1 is greater that 2/5

1>2/5

Answer:

1 is a whole number (an integer) and 2/5 is a proper fraction

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

Answer:

kevin marked the toy at a price of $352.68.

Step-by-step explanation:

to ensure a 12% profit, the selling price should be 112% of the cost price.

Answer:

Mean = 53.

Step-by-step explanation:

The median is the middle value so the 3 cards are

36, 46, x       where x is to be found.

The range is 41, so:

x - 36 = 41

x = 41 + 36

x = 77.

Therefore, the mean is

(36+46+77) / 3

= 159/3

= 53.

Answer:

Step-by-step explanation:

a. 5/2 ÷ 1/2  =

b. 6/9 ÷ 5/6

c. 3/6 ÷ 2/5

d. 7 1/2 ÷ 6 =

e. 1 1/3 ÷ 1 2/3=

Answer:

Trick answer none of them do.

Step-by-step explanation:

Therefore , the solution of the given problem of probability comes out to be a complete probability model cannot be represented by this list.

The main objective of each considerations technique is to calculate the likelihood that a claim is true or that a particular incident will occur. Anything between 0 and 1, were 0 traditionally denotes a percentage and 1 typically denotes the degree of certainty, can be used to represent chance. A probability illustration shows the likelihood that a particular event will occur.

Here,

The probabilities assigned to the outcomes do not add up to 1, hence the following list cannot be a complete probability model.

=> P(2) + P(3) + P(4)

=> 1/12 + 2/3 + 1/4

=>  (1 + 8 + 3) / 12

=> 12 / 12 = 1

In a complete probability model, the total of the probabilities should always be equal to 1, indicating that there is a probability of 1 that one of the events will occur.

In this instance, there is a missing probability since the sum of the probabilities assigned to the possible possibilities is less than 1.

Therefore, a complete probability model cannot be represented by this list.

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Answer:

Step-by-step explanation:

Property of the kite: diagonals are perpendicular

Perimeter is the sum of the side lengths:

The approximate solution of the linear system represented by the graph is, (5, 6)

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

Given that,

A graph in which two lines are intersecting each other,

basically solution of linear system means where both the lines will intersect,

So, in the graph it can be seen that lines are intersecting around x coordinate 5 and y coordinate 6,

Therefore, the solution is (5, 6)

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Answer:

hope this helps

Step-by-step explanation:

To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph

Answer: 153.86 cm²

Ok done. Thank to me :>

Answer:

1/2 feet = 6 inches

Step-by-step explanation:

my answer needs to be at least 20 words so don't mind this <3

Answer:

Hello!!! erz here ^^

Step-by-step explanation:

A foot is 12 inches,

Since we are finding out what half of a foot is, we should divide 12 by 2.

Ur answer is... 6 inches :D

Hope this helps!! :D

The length of the railing is 105.81 inches.

Given,

The stair has 7 steps

The rise of each step = 8.5 inches

The tread of each step = 12.5 inches

Slope of each step = x

We have to find the length of the railing.

Length of railing = 7x

Then,

Slope of step, x can be determined using Pythagorean theorem.

Let rise be the height of the right angled triangle and tread be the base of the triangle

Then,

Hypotenuse= Slope, x  = \(\sqrt{Rise^{2} + Tread^{2} }\)

x = \(\sqrt{8.5^{2}+ 12.5^{2} }\)

x = \(\sqrt{72.25 + 156.25}\)

x = √228.5

x = 15.12 inches

That is,

The slope, x of one step is 15.12 inches

Now,

Length of the railing = 7x = 7 × 15.12 = 105.81 inches

Therefore,

The length of the railing is 105.81 inches.

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Answer:

False

Step-by-step explanation:

Onto function:-

Let two non empty  set A and B .The function is defined  from set A to set B.

If the function is onto then every element of y in codomain  B has at-least one pre-image in the domain A .

Or

For every element in y codomain , there is at least one element  x in the domain A such that

f(x)=y

If the function is onto then

Range=Codomain

If the function is onto then every element in the co-domain musta have a pre-image not unique.

Therefore, the given statement is false.

Answer:

$5,824

Step-by-step explanation:

5,200*.04=208

208*3=624

5,200+624=5,824

Answer:

they played the pivotal role