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Sophie [7]
2 years ago
10

Question 4 of 5

Mathematics
1 answer:
eduard2 years ago
4 0

Answer:

4x -5)(16x² +20x +25)

Step-by-step explanation:

The factoring of the difference of cubes has a standard form:

  a³ -b³ = (a -b)(a² +ab +b²)

Here, your knowledge of the cubes of small integers tells you that ...

  64 = 4³

  125 = 5³

So, in the above, we have

a = 4x, b = 5

and the factored form is  

(4x -5)(16x² +20x +25)

<h2>Please mark me as brainliest</h2>

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A bicycle tire has a diameter of 62 \text{ cm}62 cm62, start text, space, c, m, end text. What is the distance the bicycle tire
navik [9.2K]

Answer:

The distance bicycle tire travels is <u>1946.8 cm</u>.

Step-by-step explanation:

Given:

Diameter of bicycle tire = 62 cm.

The bicycle tire travels in 10 revolutions.

Now, to find the distance the bicycle tire travels in 10 revolutions.

Diameter = 62 cm.

Radius (r) = \frac{Diameter}{2}=\frac{62}{2}=31\ cm.

So, we get the circumference first by putting formula:

Circumference =2\pi r

Circumference =2\times 3.14\times 31\\\\Circumference =194.68\ cm.

Thus, we get the <u><em>circumference of tire 194.68 cm.</em></u>

<u><em>Number of revolutions the tire travels = 10.</em></u>

Now, to get the distance the bicycle tire travels we multiply circumference of tire by number of revolutions the tire travels:

194.68\ cm\times 10\\\\=1946.8\ cm.

Therefore, the distance bicycle tire travels is 1946.8 cm.

4 0
3 years ago
Read 2 more answers
A circuit board manufacturer can produce 2,000 boards per hour. How many days will it take to produce 16,500 if the company has
mrs_skeptik [129]
Hi <span>Mrsdiaz1jd1977owwfvt!
OK so 2,000 boards per hour in 10 hours is 2,000*10=20,000 boards in 10 hours. So it can produce 16,500 boards in less than a day.
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5 0
3 years ago
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The average price (in dollars) to rent a studio in a certain city can be approximated by the equation p - 24.1t+575 where t is
krok68 [10]

Answer:

<u>69 years</u> after 2005 which is in <u>2074</u> year the average price of a studio in this city will reach $1081.10.

Step-by-step explanation:

Given:

Average Price to rent a studio is denoted by 'p'.

It is been approximated by equation:

p-24.1t+575

where t ⇒ number of years since 2005

Now given:

Average Price to rent a studio p = $1081.10

Substituting the value of p in above equation we get;

1081.10-24.1t+575

Solving the new equation to find the value of t we get;

1656.1=24.1t

Dividing both side by 24.1 we get;

\frac{1651.1}{24.1} =\frac{24.1t}{24.1} \\\\t= 68.71 \approx 69 years

Hence<u> 69 years</u> after 2005 which is in <u>2074</u> year the average price of a studio in this city will reach $1081.10.

<u />

7 0
3 years ago
Which kind of triangle os shown? Iready quiz level D​
qwelly [4]

Answer:

isosceles triangle

Step-by-step explanation:

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4 0
3 years ago
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Solve the system by graphing.<br> What is the solution of y=-x+4 and y=3/5x+4
dlinn [17]

Answer:

x=0 and y=4 thats where the points meet

Step-by-step explanation:

solution of x and y:

both equations equal to y so you can put them together

3/5x+4=-x+4

separate the variables and numbers...

1.6x=0

x=0

y=4

if ur using a graph, use the y intercept (0,4) for your first point

then, using y=-x+4, make -x a fraction -1/1

by using rise/run go down one unit from (0,4) since its negative 1

then one unit to the right from where you are

you should be able to connect the points for the first equation

find the second equation on your own now:)

3 0
2 years ago
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