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Below is a table showing the maximum distance over time that an Adélie penguin can walk.

The distance that an emperor penguin can walk over a period of time is represented by the equation d=1.7t

A. Which penguin species has a faster maximum walking speed? Show your work.

B. Approximately how long would it take the fastest penguin from both species to walk 3 miles? Show your work

Answer: 1365

Step-by-step explanation:

Answer:

Slope: -1/2
y-intercept: 7

Step-by-step explanation:

The slope is the interger/number in front of x in a linear equation.

y-intercept is the constant after the slope, 7, which is the value of y when x is 0.

Answer:

equation: y=mx+b

b=y intercept

the y intercept is 7

the slope is -1/2

Answer: B

Step-by-step explanation: I hope it helps if not your welcome to get a tutor

The requried correct step when using the method of completing the square to solve the equation 2x² - 12x + 6 = 0 is A. (x - 3)² = 6.

Simplifying an expression involves eliminating unnecessary variables, components, or processes using algebraic and mathematical principles. The goal is to obtain an expression that is easier to use, manipulate, or solve.

Here,
To solve the quadratic equation 2x² - 12x + 6 = 0 using the method of completing the square, we can follow these steps:

Divide both sides by the coefficient of x^2 to make the coefficient of x² equal to 1:

x² - 6x + 3 = 0

Add and subtract the square of half the coefficient of x:

x² - 6x + 9 - 9 + 3 = 0

Factor the first three terms:

(x - 3)² - 6 = 0

Add 6 to both sides:

(x - 3)² = 6

Therefore, the correct step when using the method of completing the square to solve the equation 2x² - 12x + 6 = 0 is A. (x - 3)² = 6.

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[tex]\text{The imaginary unit,}~ i = \sqrt{-1}\\\\\sqrt{-2} ~ \text{can be written as.}\\\\\sqrt{-2}\\\\=\sqrt{-1 \cdot 2}\\\\=\sqrt{-1} \sqrt{2}\\\\=i\sqrt 2\\\\=\sqrt 2 i[/tex]

Answer: You earn more per pound recycling copper than aluminum.

Step-by-step explanation:

Answer:

343

Step-by-step explanation:

Given :

Numerator

Denominator

Fraction

Answer: 6.8571 (Round as needed)

Hope this is correct

Step-by-step explanation:

This is a simple ratio problem

Using the similarity statement we can say 14:12, (ab:pq)

That is our ratio.

So we do 14/12 = 8/x, we solve this using algebra to get our answer.

Hope this is correct.

Answer:

$92

Step-by-step explanation:

Answer:

Excuse me, Where is the question??

Answer:

5000(1.04)^x, x is # of years

2600 pens.

the remaining pens Ali have after giving 1547 away.

2600 - 1547

= 1053

so, Ali has 1053 pens with him.

Ali has 2600 pens.

the amount of pens Ali has left after he gave away 1547 pens.

subtract 2600 from 1547.

[tex]2600 - 1547[/tex]

[tex] = 1053 \: pens[/tex]

hence, Ali has 1053 pens left with him after giving 1547 pens away.

To find the distance between any points:

 ⇒ we must know the distance formula

     ⇒ Distance Formula: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 } }[/tex]

Let's Solve:

    Distance Formula = [tex]\sqrt{(4--1)^2+(8-8)^2} =\sqrt{5^2} =\sqrt{25}[/tex] = 5

Thus the distance between the points is 5

Hope that helps!

Answer: 40.45 or B

Step-by-step explanation:

63 x 0.6(100%-40%) = 37.8

37.8 x 1.07 = 40.446

40.446 rounded is

40.45

Answer:

I don't understand the instructions, but I'll answer the question in the picture.

The angle next to 52 is vertical to y, so,  90-52=y.

Thus, y=38

The megaliter is 10,000 times larger than a hectoliter

An equation is an expression that shows the relationship between two or more numbers and variables.

1 mega liter = 10⁶ Liter

1 hectoliter = 10² Liter.

Hence, a megaliter is 10,000 (10⁶/10²) times larger than a hectoliter

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Step-by-step explanation:

Answer:

10,000

Step-by-step explanation:

Got it right on the assignment.

Answer:

[tex]\left[\begin{array}{cc}21&6\\-2&14\end{array}\right][/tex]

Step-by-step explanation:

[tex]x=\left[\begin{array}{ccc}8&4\\-2&3\end{array}\right][/tex]

[tex]y=\left[\begin{array}{ccc}5&-2\\2&8\end{array}\right][/tex]

To multiply an array by a constant, all you need to do is take every element in the array and multiply it by the constant, addition is similar in that you just go to each corresponding element in the arrays and add the two corresponding elements together.

[tex]2*\left[\begin{array}{cc}8&4\\-2&3\end{array}\right]+\left[\begin{array}{cc}5&-2\\2&8\end{array}\right] = \left[\begin{array}{cc}21&6\\-2&14\end{array}\right][/tex]

Using sampling concepts, it is found that a systematic sampling of 500 words would be achieved as follows:

B. Randomly select one of the first 200 words and then every 200th word thereafter for the sample.

Samples may be classified as:

In this problem, he wants a systematic sampling, hence he should choose every kth word, which means that the answer is between options a and b.

He will choose 500 words out of 100,000, hence the value of k is given by:

k = 100000/500 = 200.

Which means that option B is correct.

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Answer:

B

Step-by-step explanation:

khan

Answer:

108

Step-by-step explanation:

I just divided! Hope this helps

Answer:

The end behavoir is no solution

Step-by-step explanation:

The reason for this is because if you solve the graph the graph will show no end point

But the question is, how much did she spend?

Step-by-step explanation:

[tex]3 * 0.25(1/4) = 0.75(3/4)[/tex]

________________________________________________________

Ask me in the comments box.

Answer:

Hello! Your Question seems to be Incomplete but if you didn't mean to make it that way. I will be Happy to answer it If you repost It. Thanks !

Step-by-step explanation:

Have a good day!

According to the information in the table, it can be inferred that the state with the least area is Mississippi, with an area of 61.14 square miles.

The table shows the population density of some states in which the number of people and the area of that state are mentioned.

Based on this information, it can be inferred that the state with the fewest number of miles is the one with the smallest area. So Mississippi is the one with the least area.

On the other hand, the one with the largest area would be Indiana which is 186.32 square miles in area.

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Answer:

x = 0.8

Step-by-step explanation:

For this problem we will be using trigonometry :

Step-by-step explanation:

Check out the attached photo. Leave a comment if something's confusing.

The number that can not represent the probability of an event is -0.5.

Option A is the correct answer.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

The probability of an event always lies between 0 and 1 (inclusive), where 0 represents an impossible event and 1 represents a certain event.

Therefore, any number outside this range cannot represent the probability of an event.

Probabilities are always non-negative values between 0 and 1 (inclusive). The value 0 represents an impossible event, meaning that the event cannot occur.

The value 1 represents a certain event, meaning that the event will definitely occur. Any value between 0 and 1 represents the likelihood that the event will occur, where a value closer to 0 represents a low probability and a value closer to 1 represents a high probability.

Negative numbers cannot represent probabilities since probabilities are always non-negative values between 0 and 1.

Thus,

The number that can not represent the probability of an event is -0.5.

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Answer:

42.63mm²

Step-by-step explanation:

Base times height:

8.7 times 4.9 is 42.63mm².

So

Area:-

[tex]\\ \rm\rightarrowtail lw[/tex]

[tex]\\ \rm\rightarrowtail (8.7)(4.9)[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{87}{10}\times \dfrac{49}{10}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{4963}{100}[/tex]

[tex]\\ \rm\rightarrowtail 49.63mm^2[/tex]

Answer:

The answer is 8x-3y hope this helps!

Using proportions, it is found that the total cost of three bottles of detergent is of $11.55.

A proportion is a fraction of a total amount.

A certain brand of laundry detergent is manufactured for $4.40 and then marked up 25% by the local store before selling, hence the price of each bottle is given by:

P = 4.40 x 1.25 = $5.50.

The store offers a 30% discount with the purchase of three or more bottles of the detergent, hence the total cost is given by:

T = (3 x 5.50) x 0.7 = $11.55.

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Answer:

t = 2.4n

Step-by-step explanation:

y = mx + c

t = mn + c

c = y-intercept (where the graph line crosses the cost line)

c = 0

mx/mn= gradient ( rise/run, up/across)

mn= 12/5 ( you could have picked any point in the graph )

mn= 2.4

the m is unnecessary now so we discard it

t = 2.4n + 0

[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]

[tex] \large \purple { \rm{Let's \: solve→}} \\ [/tex]

[tex] \rm{3(2x-5)=4x+33} \\ \\ \rm {solving \: bracket} \\ \\ \rm{6x - 15= 4x + 33} \\ \\ \rm{arranging \: terms} \\ \\ \rm{6x - 4x = 33 + 15} \\ \\ \rm{2x = 48} \\ \\ \rm{x = \frac{48}{2} } \\ \\ \rm{x = \cancel \frac{48}{2} } \\ \\ \rm{x = 24}[/tex]

[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

Answer:

[tex]\fbox{X = 24}[/tex]

Solution:

Given expression ➟ 3(2x-5) = 4x + 33,

using distributive property open the above bracket,

➳ 3×2x - 3×5 = 4x + 33

Using BODMAS solve the L.H.S,

➳ 6x - 15 = 4x + 33

now arrange the like terms aside,

➳ 6x - 4x = 33 + 15

➳ 2x = 48

➳ x = 48/2

➳ x = 24

the given expression is true for x = 24

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