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ratelena [41]
3 years ago
8

Factor completely 81m^2-169

Mathematics
1 answer:
wel3 years ago
7 0
<span> 81m^2-169 = (8m + 13)(8m - 13)
</span>
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What is the domain of the function 1x)= 2
Gnesinka [82]

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According to me, the answer is

Step-by-step explanation:

all real numbers

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3 years ago
Hello, may someone plz help me
fenix001 [56]

Answer:

Step-by-step explanation:

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4 0
3 years ago
A car travels at a constant speed of 45 km per hour for 5 min each wheel has a radius of 25 centimeters calculate the number of
Arisa [49]

Answer:

477.47 revolutions

Step-by-step explanation:

From the information given:

The formula for calculating the circumference = 2π r

Given that the radius of each wheel = 25 centimeter

Then, the circumference = 2 π (25)

= 50π cm

The distance traveled in 5 minutes is as follows:

Given that:

The speed = 45 km/ hour

i.e.

1 hour = 45 km

In an hour, we have 60 minutes

So, 60 minutes = 45 km

1 minute = 45/60 = 0.75 km

To cm;

0.75 km = (0.75 × 1000) m = 750 m

750 m = 750 × 100 = 75,000 cm

∴

The number of revolution in 5 minutes sInce 1 revolution =  50π cm is:

=  75,000 cm/ 50π cm

= 477.47 revolutions in 5 minutes

6 0
3 years ago
Find the requested information based on the given facts. Base: $54,300: Total Sales: $950,000; Commission: 2.75% Determine the t
Dafna11 [192]

Answer:

$871068.25

Step-by-step explanation:

Given the base of starting the business is $54300 and the total sale after the business is $950000.

Therefore, the profit of the business is $(950000-54300) = $895700.

Now, the commission has to be deducted from the profit at the rate of 2.75% of the profit.

Hence, total profit of the business is given by  

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6 0
3 years ago
find a model for simple harmonic motion if the position at t = 0 is 6, the amplitude is 6 centimeters, and the period is 4 secon
Y_Kistochka [10]

Answer:

y = 6cos(π/2)t

Step-by-step explanation:

Given in the question that,

in a simple harmonic motion in which

at t=0 the amplitude is 6 cm, so the simple harmonic motion will be in cosine form. As in case of sine function, the value of function at t=0 is 0.  

And,

the period is given as 4 sec

We know that model equation of simple harmonic motion is

<h3>y = a. cosb(t + c) + d</h3>

here,

a is amplitude

c is Horizontal shift or phase shift

d is Vertical shift

<h3>Step1</h3><h3>Find b</h3>

Period = 2 π / b

4 = 2π / b

b = 2π/4

b = 1π/2

<h3>Step2</h3><h3>Find shifts</h3>

Horizontal and vertical shifts are 0.

So, c = 0 and d = 0

<h3>Step3</h3><h3>Plug those values in the above in the equation</h3>

y = 6cos π/2 (t + 0) + 0

y = 6cos(π/2)t

4 0
3 years ago
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