What is the slope of the line shown in the graph? <br> A. 2/3<br> B. -2/3<br> C. 3/2<br> D. -3/2

Write a fraction that is equivalent to 6 divided by 27

faust18 [17]

27/6 because this shows that you are dividing 6 from 27.

5 0

2 years ago

The ratio of the number of male lions to female lions in the animal reserve is 21:20. If there are 123 lions in the animal reser

Vanyuwa [196]

21 + 20 = 43

Total is 123, so divide by 43.

123/43 = 2.86 rounded to 3.

(females) 20 x 3 = 60 female lions

7 0

2 years ago

In the 2016 Rio Olympic games, the total of gold, silver and bronze medals won by China was 70.

Oksana_A [137]

26 gold metals

Explanation: 70 - 18 silver = 52 metals left

52/2= 26 … so 26 + 26= 52 52 + 18=70

3 0

2 years ago

Sally spelled 2 words incorrectly out of 20 spelling words on the test. What percent grade did Sally get on the test?

Tom [10]

Answer:

90%

Step-by-step explanation:

So Sally gets 18/20 of the questions correct then you need to make the denominator of the fraction to 100 which makes a percent. So you multiply both the numerator and denominator by 5:

90/100

which is equal to 90%

Hope this helps!

7 0

2 years ago

How do you do this question?

Ksivusya [100]

Answer:

V = (About) 22.2, Graph = First graph/Graph in the attachment

Step-by-step explanation:

Remember that in all these cases, we have a specified method to use, the washer method, disk method, and the cylindrical shell method. Keep in mind that the washer and disk method are one in the same, but I feel that the disk method is better as it avoids splitting the integral into two, and rewriting the curves. Here we will go with the disk method.

$\mathrm{V\:=\:\pi \int _a^b\left(r\right)^2dy\:},\\\mathrm{V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy}$

The plus 1 in '1 + 2/x' is shifting this graph up from where it is rotating, but the negative 1 is subtracting the area between the y-axis and the shaded region, so that when it's flipped around, it becomes a washer.

$V\:=\:\int _1^3\:\pi \left[\left(1+\frac{2}{y}\right)^2-1\right]dy,\\\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=\pi \cdot \int _1^3\left(1+\frac{2}{y}\right)^2-1dy\\\\\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx\\= \pi \left(\int _1^3\left(1+\frac{2}{y}\right)^2dy-\int _1^31dy\right)\\\\$

$\int _1^3\left(1+\frac{2}{y}\right)^2dy=4\ln \left(3\right)+\frac{14}{3}, \int _1^31dy=2\\\\=> \pi \left(4\ln \left(3\right)+\frac{14}{3}-2\right)\\=> \pi \left(4\ln \left(3\right)+\frac{8}{3}\right)$

Our exact solution will be V = π(4In(3) + 8/3). In decimal form it will be about 22.2 however. Try both solution if you like, but it would be better to use 22.2. Your graph will just be a plot under the curve y = 2/x, the first graph.

5 0

3 years ago

What is the slope of the line shown in the graph? A. 2/3 B. -2/3 C. 3/2 D. -3/2