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3 years ago

Write the equation 0.3x2 + 5x - 7 =0 in general form and then choose the value of "b."

Mathematics

1 answer:

Musya8 [376]3 years ago

8 0

For this case we have that by definition, an equation of the second degree is given by:

$ax ^ 2 + bx + c = 0$

We have the following equation:

$0.3x ^ 2 + 5x-7 = 0$

Then, according to the definition above, we have to:

$a = 0.3\\b = 5\\c = -7$

Thus, b equals 5.

Answer:

$b = 5$

Option C

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Answer:

Guo Qi requires 75 days to watch videos on Khan Academy.

Step-by-step explanation:

We are given the following in the question:

Number of videos watched by Guo Qi each day = 15

Average length of each video = 8 minutes

Total minutes of video = 9000 minutes

Total number of videos to be watched =

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Guo Qi needs to watch 1125 videos.

Number of days required =

$=\dfrac{\text{Total number of videos}}{\text{Videos watched in one day}}\\\\=\dfrac{1125}{15}=75$

Guo Qi requires 75 days to watch videos on Khan Academy.

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3 years ago

B is the midpoint of AC, D is the midpoint of CE, and AE = 9. Find BD.

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Answer is on a picture

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3 years ago

What is the scale factor?

kkurt [141]

35/42 =5/6

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2 years ago

Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th

Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 21-1 = 20$ .

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have $T = 2.528$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{0.40}{\sqrt{21}} = 0.0873$

Now, we multiply T and s

$M = 2.528*0.0873 = 0.2207$

Then

The lower end of the interval is the mean subtracted by M. So:

$L = 3.27 - 0.2207 = 3.0493$

The upper end of the interval is the mean added to M. So:

$LCL = 3.27 + 0.2207 = 3.4907$

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

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3 years ago

PLEASE ANSWER!!!!!! REALLY IMPORTANT

faust18 [17]

Answer-

The height of the prism is 6 units

Solution-

As the base of the prism is a hexagon consisting of 2 congruent isosceles trapezoids.

So,

$V_{Prism}=Area_{Base}\times Height$

And,

$Area_{Base}=2\times \text{Area of the trapezoid}$

Also,

$\text{Area of the trapezoid}=\dfrac{1}{2}\times \text{Height}\times (\text{Sum of two parallel lines})$

$=\dfrac{1}{2}\times 3\times (5+8)\\\\=\dfrac{39}{2}$

Putting all the values,

$V_{Prism}=2\times \dfrac{39}{2}\times Height=39\times Height$

As the volume is given, so

$\Rightarrow 39\times Height=234$

$\Rightarrow Height=\dfrac{234}{39}=6$

8 0

3 years ago

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