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k0ka [10]
3 years ago
9

A bird leaves its nest and travels 20 miles per hour downwind for x x hours. On the return trip, the bird travels 4 miles per ho

ur slower and has 6 miles left after x x hours. a. What is the distance of the entire trip? b. How long does the entire trip take?
Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0

a. if the return trip is the same then the bird traveled 40miles

b. the time of the trip is x hours + 6/x-4

Hope this helps!

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What is the simplified form of the expression?<br> 15 y - 4(2y + 6)
Bas_tet [7]
ANSWER:
7y - 24

EXPLANATION:

Okay, so start with distribution.

15y - 8y - 24

Then add like terms

7y - 24

And done

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What is the slope and y-intercept of the equation 6x + 2y = 14<br> I
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2 years ago
The boxplot below shows salaries for CPAs and Actuaries in a town. 30 40 50 60 70 80 90 100 Salary (thousands of $) Actuary CPA
GuDViN [60]

Answer: 75%

Step-by-step explanation:

In order to answer this question, we have to know the meaning of a box plot. Boxplots are especially useful in statistical analysis and gives us a meaningful range of values. A box plot consists of 2 shapes, which are the box part and the extended lines. The short sides of the  box and the vertical line in the middle of the box represent a certain percentage of the values. The vertical line in the boxplot is the median of your dataset. For example, according to the shape given in the question, the median value for CPA's is 50 and this is closer to the left side of the box. This means that the first half ogf the dataset (when ranked from the smallest to the greatest) is closer to each other. The sides of the box represent the values at the 25% and 75% of the values respectfully.

For example, if we have 100 values, we rank them in order and the 25th value corresponds to the left side of the boxplot (named first quartile), 50th value (which is also the median)  corresponds the vertical line in the box and and the 75the value corresponds to the right side of the box (named third quartile).

The extended arms are calculated as accordingly: IQR=(3rd quartile value-1st quartile value). Left extended arm is first quartile-1.5*IQR and right extended arm is third quartile+1.5*IQR. However, this information is not directly related to this question.

Now, this question should seem simpler. The median salary of CPA is 50 and this is equal to left side of the Actuary boxplot, which corresponds to the 25% of actuaries. As a result, CPA median salary is less than 75% of the Actuaries (100%-25%).

5 0
3 years ago
explain step by step how to solve. please point out any similarities in the steps used for each question
Mamont248 [21]
#1
m∠A=180 - 115 - 24 = 41°

By the law of sines:

b/sinB = a/sinA  ⇒  
b = (a*sinB)/sinA = (21*sin24°)/sin41° = (21*0.4067)/0.656 ≈ 13

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (21*sin115°)/sin41° = (21*0.9063)/0.656 ≈ 29


#2
m∠C=180 - 119 - 27 = 34°

By the law of sines:

b/sinB = a/sinA  ⇒  
b = (a*sinB)/sinA = (13*sin119°)/sin27° = (13*0.8746)/0.454 ≈ 25

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (13*sin34°)/sin27° = (13*0.5592)/0.454 ≈ 16


#3
m∠C=180 - 57 - 37 = 86°

By the law of sines:

c/sinC = a/sinA  ⇒  
c = (a*sinC)/sinA = (11*sin86°)/sin57° = (11*0.9976)/0.8387 ≈ 13.1
6 0
3 years ago
Express 3 log x^2 + 7 log x as a single log
miss Akunina [59]

Answer:

log x^13.

Step-by-step explanation:

Using the laws of logarithms

a log b = log b^a and  log a + log b = log ab:

3 log x^2 + 7 log x

= log (x^2)^3 + log x^7

= log x^6 + log x^7

= log (x^6*x^7)

= log x^13.

8 0
3 years ago
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