A = pq^2r make r the subject

OLEGan [10]

Answer:

The correct answer is a.

Step-by-step explanation:

Since she starts off with 15, u would be subtracting. So she gives 13 to friends. subtract 13. she gives the remaining 2 to teachers. subtract 2. she has 0 left.

5 0

3 years ago

Identify the vertical asymptotes of f(x) = quantity x minus 4 over quantity x squared plus 13 x plus 36

choli [55]

Expression: f(x) = [x - 4] / [x^2 + 13x + 36].

The vertical asympotes is f(a) when the denominator of f(x) is zero and at least one side limit when you approach to a is infinite or negative infinite.

The we have to factor the polynomial in the denominator to identify the roots and the limit of the function when x approachs to the roots.

x^2 + 13x + 36 = (x + 9)(x +4) => roots are x = -9 and x = -4

Now you can write the expresion as: f(x) = [x - 4] / [ (x +4)(x+9) ]

Find the limits when x approachs to each root.

Limit of f(x) when x approachs to - 4 by the right is negative infinite and limit when x approach - 4 by the left is infinite, then x = - 4 is a vertical asymptote.

Limit of f(x) when x approachs to - 9 by the left is negative infinite and limit when x approach - 9 by the right is infinite, then x = - 9 is a vertical asymptote.

Answer: x = -9 and x = -4 are the two asymptotes.

5 0

4 years ago

Read 2 more answers

What is a quadrilateral with four congruent sides

Verdich [7]

That's a rhombus. If it has one interior right angle, then
it's a special case of rhombus known as a "square".

6 0

3 years ago

Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for

antiseptic1488 [7]

Answer:

Alternative hypothesis is that Worker productivity is higher with automatic dispensers.

The Rank for Group1 is 115.5 and Group 2 is 55.5.

Conclusion is that Worker productivity is higher with automatic dispensers.

Step-by-step explanation:

The null and alternative hypotheses are

H0: Group1 ≤ Group2 against the claim

Ha: Group1 > Group2

Alternative hypothesis is that Worker productivity is higher with automatic dispensers.

Calculations:

Group1 Group2

Sample Mean x ` 139.22 114.67

Sample size n 9 9

Sample SD 18.21 11.937

Rank 115.5 55.5

U 10.5 70.5

The Rank for Group1 is 115.5 and Group 2 is 55.5.

1. H0 hypothesis

As p-value < alpha and Z lies in the critical region, H0 is rejected.

The randomly selected value of Group1's population is considered have greater productivity than the randomly selected value of Group2's population.

2. P-value

The p-value equals 0.0046.

3. Test statistics

Z= u-μ+c/σ

The critical region for one tailed test for z at 0.01 significance level is

z > 2.33.

The test statistic Z equals 2.6063, which lies in the critical region of acceptance z> 2.326

4. Conclusion

As the calculated test statistic lies in the critical region H0 is rejected and it is concluded that

Worker productivity is higher with automatic dispensers. 

4 0

3 years ago

A health insurance company pays a clinic a total of $440 for 8

trapecia [35]

Answer:

$55.00 per visit

Step-by-step explanation:

440/8=55

6 0

3 years ago

Read 2 more answers