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3 years ago

Find the values of x and y

Mathematics

1 answer:

cupoosta [38]3 years ago

7 0

Answer:

Step-by-step explanation:

∠D = 90°

3y+2 = 180°-90°-52° = 38°

y = 12°

∠BAC = ∠ACD

4x = 52°

x = 13°

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The annual net income of a company for the period 2007–2011 could be approximated by P(t) = 1.6t2 − 11t + 44 billion dollars (2

son4ous [18]

Answer:

$P'(t) = 3.2 t -11$

And we can set equal this derivate to 0 in order to find the critical point and we got:

$3.2 t-11= 0$

$t = \frac{11}{3.2}= 3.4375$

And we can calculate the second derivate and we got:

$P''(t) = 3.2 >0$

So then w can conclude that the value of t = 3.4375 represent the minimum value for the function and we can replace in the original function and we got:

$P(3.4375) = 1.6(3.4375)^2 - (11*3.4375) +44 = 25.094$

So then the minimum annual income occurs at t = 3.43 (between 2008 and 2009) and the value is 25.094

Step-by-step explanation:

For this case we have the following function:

$P(t) = 1.6 t^2 -11t +44$

Where P represent the annual net income for the period 2007-2011 and $2 \leq t \leq 7$

And t represent the time in years since the start of 2005

In order to find the lowet income we need to use the derivate, given by:

$P'(t) = 3.2 t -11$

And we can set equal this derivate to 0 in order to find the critical point and we got:

$3.2 t-11= 0$

$t = \frac{11}{3.2}= 3.4375$

And we can calculate the second derivate and we got:

$P''(t) = 3.2 >0$

So then w can conclude that the value of t = 3.4375 represent the minimum value for the function and we can replace in the original function and we got:

$P(3.4375) = 1.6(3.4375)^2 - (11*3.4375) +44 = 25.094$

So then the minimum annual income occurs at t = 3.43 (between 2008 and 2009) and the value is 25.094

5 0

3 years ago

By selling a book for $ 16.50, albert loses 12% on the cost price. Find the cost price of the book

frozen [14]

12% of 16.50 = 1.98
16.50 + 1.98 = $18.48

4 0

3 years ago

Read 2 more answers

Rework problem 7 from section 3.4 of your text, involving the selection of a colored ball from one of three bowls. Assume that y

allochka39001 [22]

Answer:

Question (1): 1/2 = 0.5

Question (2): 1/6 ≈ 0. 17

Explanation:

1. Arrange the information of the balls contained in the bowls in a table:

Bowl X Bowl Y Bowl Z Total

Red balls 2 2 1 5

White balls 2 1 3 6

Blue balls 3 1 2 6

==============================

Totals 7 4 6 17

2. To answer each question use the basic definition of probabilities

Probability = # of favorable events / # of possible events

3. Question (1) If the ball is blue, what is the probability that it was drawn from bowl X?

Number of total blue balls: 6

Number of blue balls in the bowl X: 3

Probability that a ball that is blue was drawn from the bowl X: P (b/X)

P (b/X) = number of blue balls in the bowl X / total number of blue balls = 3 / 6 = 1/2 = 0.5

4. Question (2) If the ball is either blue or white, what is the probability that it was drawn from bowl Y?

Number of total blue and white balls: 6 + 6 = 12

Number of blue balls and white balls in the bowl Y: 1 + 1 = 2

Probability that a ball that is either blue or white was drawn from the bowl Y: P (b or w / Y)

P (b or w /Y) = number of blue balls and white balls in the bowl Y / total number of blue balls and white balls = 2 / 12 = 1/6 ≈ 0.17

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4 years ago

A cafeteria offered two types of milk regular or chocolate if they sold 24 cartons total and 3 of them were regular flavor what

zubka84 [21]

Answer:

7:1

Step-by-step explanation:

6 0

3 years ago

You are making lemonade. The amount of sugar you need depends on the amount of lemonade mix you use.

GuDViN [60]

Yes, it is proportional.

4 0

3 years ago

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