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cupoosta [38]
1 year ago
6

Evaluatef(2x^5 - 7x^3 + 6)dx

Mathematics
1 answer:
ycow [4]1 year ago
7 0

Given the following integral:

\int(2x^5-7x^3+6)dx

To integrate the polynomial, the exponent will be increased by 1 then we divide by the new exponent.

The solution will be as follows:

\begin{gathered} \int(2x^5-7x^3+6)dx=\frac{2}{6}x^6-\frac{7}{4}x^4+6x+C \\  \end{gathered}

So, the answer will be:

\frac{1}{3}x^6-\frac{7}{4}x^4+6x+C

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The yearly attendance at a local movie theater is 82,000 and grows continuously at a rate of 5.1% each year. What is the approxi
juin [17]

Answer:

c. 134,847

Step-by-step explanation:

82,000 x (1.051)^10 = 82,000 x 1.64447456 = 134,847

6 0
3 years ago
Hi guys, I really need help, I reckon this is easy for you but I'm low-key disabled and need help with this question so please h
serious [3.7K]

Answer:

15, 8, 66%, 40

Step-by-step explanation:

Hi! ok so in ogive charts its really about finding the corresponding data points and sometimes it's a lot of estimation so these answers may not be exact but they'll be close.

In the image, you'll see a bunch of lines, basically what youre doing is finding the corresponding frequency of the dollars or vice versa.

<em>question a)</em>

50 dollars or less, so the area of 50 dollars and below that.

from the chart we can see that this lines up to around 15 people.

<em>question b)</em>

now this one is a little bit more challenging, but you can use the same process as you did for the first question. so we can see who spent 100 dollars or less. this value is around 42 (just from looking at the graph)

<em>we know if you didn't spend 100 dollars or less, you must have spent more than that. </em>

so take 50-42=8

around 8<u> people</u> spent 100 dollars or more.

<em>question c)</em>

basically the same question as the first but more calculations are involved. from the graph we can see around 33 people spent 80 dollars or less. but the question is asking the percentage. so what percent of 50 (people) is 33.

33/50 = 0.66

around 66%

<em>question d)</em>

80th percentile means less than or equal to 80% of the frequencies/the data. so we first need to find what value that is in terms of frequency.

50 times 0.8 = 40

40 people

now just plot that on the graph (sorry i did it wrong in the image)

8 0
3 years ago
Which statement best explains whether △PQR is congruent to △XYZ?
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<span>Two geometic shapes are congruent if one can be mapped to the other only by using rigid motions: translations and rigid rotations. The third statement is the only one that is true for any triangles â–łPQR and â–łXYZ, in whichever position they are.</span>
3 0
3 years ago
What is the answer Simplify. 1/4(1-2/3 squared+1/3
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The Answer is 2/3

Steps: 1/4(1-(2/3^2+1/3)
3 0
3 years ago
What’s the slope for the graph?
Over [174]

Answer:

The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.The vertical change between two points is called the rise, and the horizontal change is called the run.

6 0
3 years ago
Read 2 more answers
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