What are the roots of the equation x²<br> 14x + 53 = 0 in simplest a + bi form?

Solve the formula for the specified variable. V=CMU for C

erica [24]

Answer:

C=V/MU

Step-by-step explanation:

8 0

4 years ago

Jay makes a base salary of $2000 per month. Once he reaches $50000 in total sales, he earns an additional 5% commission (salary)

ki77a [65]

Answer:

$j(s) = 0.05s -500$

Step-by-step explanation:

Given

$Base\ Salary = 2000$

$Commission = 5\%$ on Sales over 50000

Required

Determine the function j(s) for sales over 50000

Represent the total sales in a month with s.

Sales over 50000 in that month will be: s - 50000

So, the function j(s) is:

j(s) = Base Amount + Commission * Sales over 50000

$j(s) = 2000 + 5\% * (s - 50000)$

Convert % to decimal

$j(s) = 2000 + 0.05 * (s - 50000)$

Open bracket

$j(s) = 2000 + 0.05 * s - 0.05 * 50000$

$j(s) = 2000 + 0.05s - 2500$

Collect Like Terms

$j(s) = 0.05s - 2500 + 2000$

$j(s) = 0.05s -500$

3 0

3 years ago

If sintheta = cos theta then the value of acute angle is

Lelu [443]

Answer:

45 degrees

Step-by-step explanation:

Here, we want to get the value of the acute angle

From the question, we have it that the sin of the acute angle equals its cosine

Recall;

cos A = sin (90-A)

Hence, if A is 45, then Cos A and Sine A will be the same

This means the value of theta which is the acute angle is 45 degrees

3 0

3 years ago

Ten rugby balls are randomly selected from the production line to see if their shape is correct. Over time, the company has foun

zaharov [31]

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

Ten rugby balls are randomly selected from the production line to see if their shape is correct. Over time, the company has found that 89.4% of all their rugby balls have the correct shape. If exactly 6 of the 10 have the right shape, should the company stop the production line?

1)Yes as the probability of six having the correct shape is not unusual

2)NO. as the probability of six having the correct shape is unusual

3)Yes as the probability of six having the correct shape is unusual

4) No. as the probability of six having the correct shape is not unusual

Solution:

If exactly 6 of the 10 have the right shape, it means that the probability of success for the sample is

6/10 = 0.6

Expressing the probability in terms if percentage, it becomes

0.6 × 100 = 60%

Over time, the company has found that 89.4% of all their rugby balls have the correct shape. It means that the probability of success for the population is 89.4%

Comparing both probabilities, the probability of only 6 having the right shape is unusual. Therefore, the correct option is

3)Yes as the probability of six having the correct shape is unusual

4 0

3 years ago

What is the value of x?

Ivahew [28]

All 3 angles of a triangle add up too 180, so 80+55= 135, 180-135 is 45, so the value of x is 45

3 0

3 years ago

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What are the roots of the equation x² 14x + 53 = 0 in simplest a + bi form?