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Dominik [7]
3 years ago
11

BRAINLIEST IF CORRECT PLEASE SHOW WORK:)

Mathematics
2 answers:
Alexus [3.1K]3 years ago
8 0
The answer would be d 1 1/18 because you have to convert the 1/6 to 3/18 and 2/9 to 4/18 so 4/18 minus 3/18 is 1/18 and 8 minus 7 is 1 so it is 1 1/18
Licemer1 [7]3 years ago
4 0
First of all, you will want to change the fraction to have the same denominator.

The common factor for 9 and 6 is 18. (9x2=18 and 6x3=18)
Then, you multiply the numerator by the factor you got in the first step, which is 2 and 3, respectively.
So the new fractions are \frac{4}{18} and 7 \frac{3}{18}

The next step is to simply subtract the mixed numbers!
8 \frac{4}{18} - \frac{3}{18} = 1 1/18

The answer would be <span>D: 1 1/18!</span>
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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln x, [1,7] choose one letter t
inn [45]
ANSWER

B.Yes, f is continuous on [1, 7] and differentiable on (1, 7).

c\approx 3.08

EXPLANATION

The given

f(x) = ln(x)

The hypotheses are

1. The function is continuous on [1, 7].

2. The function is differentiable on (1, 7).

3. There is a c, such that:

f'(c) = \frac{f(7) - f(1)}{7 - 1}

f'(x) = \frac{1}{x}

This implies that;

\frac{1}{c} = \frac{ ln(7) - 0}{6}

\frac{1}{c} = \frac{ ln(7)}{6}

c = \frac{6}{ ln(7) }

c\approx 3.08

Since the function is continuous on [1, 7] and differentiable on (1, 7) it satisfies the mean value theorem.
7 0
3 years ago
The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/
VARVARA [1.3K]

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

A = \frac{1}{2}bh   (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)

We can find the base by solving equation (1) for b:

b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)

\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min    

         

Therefore, the base is decreasing at 2 cm/min.

               

I hope it helps you!  

7 0
2 years ago
10 times as many as _ hundreds is 60 hundreds or _ thousands
vovangra [49]
60 hundreds = 60 * 100 = 6,000  ( six thousands )
10 * 600 = 6,000 ( 10 times as many as 600 is 6,000 - six thousands )
Answer:
10 times as many as 6 hundreds is 60 hundreds or 6 thousands.  
6 0
3 years ago
Read 2 more answers
What is a reflexive angle?
zalisa [80]
Is the larger angle. It is more than 180° but less than 360° If you choose the smaller angle you might have an Acute Angle, or an Obtuse Angle instead: The larger angle is a Reflex Angle, but the smaller angle is an Acute Angle.
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==> she can buy 45 notebooks at most.

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