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Kazeer [188]
3 years ago
6

I need help with this ​

Mathematics
1 answer:
Alex73 [517]3 years ago
5 0

Answer:

the pattern step number of second step is added to number of balls used of first step to get number of balls used of second step

that is

1 + 2 ( number of balls added to pattern step number) = 3 (number of balls used)

in the same way

6 + 4 = 10 ( first blank )

5 + 10= 15 ( second blank)

15 + 7 = 22 ( third blank )

22 + 8 = 30 ( fourth blank)

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An airplane travels 290 km between Austin and Dallas in 1 h 15 min. What is it’s average speed?
aniked [119]

The average speed of the plane between Austin and Dallas is 232 kmph

<u>Solution:</u>

Given that,

Total distance traveled by airplane = 290 km

Time taken for travel between Austin and Dallas = 1 hour 15 minute

Let us convert the time taken to hours

\begin{array}{l}{1 \text { minute }=\frac{1}{60} \text { hours }} \\\\ {15 \text { minutes }=\frac{15}{60}=\frac{1}{4}} \\\\ {\text { 1 hour } 15 \text { minutes }=1 \frac{1}{4} \text { hours }=\frac{1 \times 4+1}{4}=\frac{5}{4} \text { hours }}\end{array}

<em><u>The average speed is given as:</u></em>

\text { Average speed }=\frac{\text { total distance }}{\text { total time taken }}

Plugging in the values, we get,

\text { Average speed }=\frac{290}{\frac{5}{4}}=\frac{290}{5} \times 4=232

Hence the average speed is 232 kmph

6 0
3 years ago
Which interval for the graphed function contains the local maximum?
postnew [5]

The interval of the function that contains the local maximum is given by:

[0, 2].

<h3>What is the question?</h3>

The graph of the function that we want to analyze the behavior is missing. It states that:

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<h3>What is a local maximum in a function f(x)?</h3>

A local maximum in a function f(x) is a value of x at which the function changes from increasing to decreasing.

Researching this problem on the internet, and looking at the graph, the function changes from increasing to decreasing at point x = 1.55, hence the interval that contains the local maximum of the function is:

[0, 2].

More can be learned about local maximums at brainly.com/question/13333267

#SPJ1

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tigry1 [53]

Answer:

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Step-by-step explanation:

We need to factorize the given expression i.e. x²+14x+24.

We find two integers such that their sum is 14 and product is 24.

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Hence, the factors of the given expression is (x+2)(x+12).

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