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umka2103 [35]
3 years ago
14

6 + 2/5b = 12 What does “b” equal?

Mathematics
2 answers:
stich3 [128]3 years ago
7 0
B=3 hope that helps
Elis [28]3 years ago
4 0

Answer:

B = 15

Step-by-step explanation:

<u>Combine multiplied terms into a single fraction</u>

6 + 2b/5 = 12

<u>Subtract 6 from both sides</u>

6 + 2b/5 <em>(-6)</em> = 12 <em>(-6)   </em>= 2b/5 = 6

<u>Multiply all terms by the same value to eliminate fraction denominators</u>

2b/5 <em>( x 5) </em>= 6<em> (x 5)</em>

<em />

<u>Simplify</u>

2b = 30

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A piston rises to 5 cm and falls to 3 cm in such a way that it returns to the maximal height three times every two seconds. If w
sveticcg [70]

Answer:

(1 cm)cos3πt

Step-by-step explanation:

Since the piston starts at its maximal height and returns to its maximal height three times evert 2 seconds, it is modelled by a cosine functions, since a cosine function starts at its maximum point. So, its height h = Acos2πft

where A = amplitude of the oscillation and f = frequency of oscillation and t = time of propagation of oscillation.

Now, since the piston rises in such a way that it returns to the maximal height three times every two seconds, its frequency, f = number of oscillations/time taken for oscillation where number of oscillations = 3 and time taken for oscillations  = 2 s

So, f = 3/2 s =1.5 /s = 1.5 Hz

Also, since the the piston moves between 3 cm and 5 cm, the distance between its maximum displacement(crest) of 5 cm and minimum displacement(trough) of 3 cm is H = 5 cm - 3 cm = 2 cm. So its amplitude, A = H/2 = 2 cm/2 = 1 cm

h = Acos2πft

= (1 cm)cos2π(1.5Hz)t

= (1 cm)cos3πt

7 0
3 years ago
Can you help? Thanks!
elena-14-01-66 [18.8K]
Your answer is c.) 225. it is the only one that is not a decimal, this is more, not less
7 0
3 years ago
Due today pls help me
Goshia [24]

Answer:

B

Step-by-step explanation:

7 0
3 years ago
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e
Viefleur [7K]

Answer:

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then

n = 1537, \pi = \frac{353}{1537} = 0.2297

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 - 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2087

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 + 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2507

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

7 0
3 years ago
A dilation with a scale factor of 1/3 is a reduction.
Natasha_Volkova [10]
That's true.
That will make the thing a third of its original size.
8 0
3 years ago
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