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valina [46]
3 years ago
13

N^2 + 36n + c "find the value of c that completes the square"

Mathematics
1 answer:
RSB [31]3 years ago
8 0

For this case we have the following polynomial:

n ^ 2 + 36n + c

To find the value of c that completes the square, we use the following equation:

c = (\frac {b} {2}) ^ 2

Where,

  • <em>b: coefficient of the variable of degree 1 </em>

Substituting values we have:

c = (\frac {36} {2}) ^ 2\\c = (18) ^ 2\\c = 324

Answer:

the value of c that completes the square is:

c = 324

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what is the rule for solving proportions? A. The sum of the means is the product of the extremes. B. The product of the means is
Zanzabum
The rule is that :
B. The product of the means is equal to the product of the extremes
8 0
3 years ago
A bank advertises that they will pay 1.5% simple annual interest on new savings accounts. Lorenzo puts $400 in a new account. If
Luba_88 [7]

Answer:

  $406

Step-by-step explanation:

The amount of interest that Lorenzo's account earns is given by ...

  I = Prt

where P is the principal amount ($400), r is the annual rate (1.5%) and t is the number of years (1).

Lorenzo's interest is ...

  I = $400·0.015·1 = $6.00

Then the balance in Lorenzo's account at the end of one year is ...

  $400 +6 = $406.00

3 0
3 years ago
Write the equation of the line with a slope of 3/2 that contains the point (-2,-4) .
VARVARA [1.3K]

Answer:

y= 3/2x- 4

Step-by-step explanation:

3/2 = mx

b= -4

y=mx+b

8 0
3 years ago
A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Kar
ch4aika [34]

Answer:

We conclude that the mean waiting time is less than 10 minutes.

Step-by-step explanation:

We are given that a public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes.

Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.8 minutes with a standard deviation of 2.5 minutes.

Let \mu = <u><em>mean waiting time for bus number 14.</em></u>

So, Null Hypothesis, H_0 : \mu \geq 10 minutes      {means that the mean waiting time is more than or equal to 10 minutes}

Alternate Hypothesis, H_A : \mu < 10 minutes    {means that the mean waiting time is less than 10 minutes}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                       T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample mean waiting time = 7.8 minutes

             s = sample standard deviation = 2.5 minutes

             n = sample of different occasions = 18

So, <u><em>test statistics</em></u> =  \frac{7.8-10}{\frac{2.5}{\sqrt{18} } }  ~ t_1_7

                              =  -3.734

The value of t test statistics is -3.734.

Now, at 0.01 significance level the t table gives critical value of -2.567 for left-tailed test.

Since our test statistic is less than the critical value of t as -3.734 < -2.567, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that the mean waiting time is less than 10 minutes.

5 0
3 years ago
What is the rate of change for the function f(x)=2x-3
Stolb23 [73]

Answer:

2

Step-by-step explanation:

f(x) = 2x - 3 is a linear function

The rate of change of a linear function is the measure of the slope.

The equation is in slope- intercept form, that is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 3 has slope m = 2

Thus rate of change = 2

4 0
3 years ago
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