What is the generator for the sequence: 5,9/2, 4, 7/2, 3,

Find th areas and circumference 5 cm 2 cm

mihalych1998 [28]

Answer:

The Area is 10cm, and the perimeter is 14cm

Step-by-step explanation:

Area:

a = w · l 5cm · 2cm =10cm

Perimeter:

p = 2(l+w) 2(5 + 2) = 14

7 0

2 years ago

F(x) = 9 sin(x) + cot(x), −π ≤ x ≤ π find the interval of increase.

podryga [215]

We are given the function
F(x) = 9 sinx + cot x

We need to take the first derivative of the given function so,
F' (x) = 9 cos x - csc² x

Next, we equate the first derivative of the function to 0 and solve for the values of x
0 = 9 cos x - csc² x
Solving for x
x = 2.04

Picking out an arbitrary value between 2.04 and π, say 3 and substituting in F(x)
F(3) = 9 sin 3 + cot 3 = 19.55

Therefore, the interval where the function is increasing is from 2.04 to π
Consequently, the interval where the function is decreasing is from -π to 2.04

4 0

4 years ago

2. Katryn swims at a rate of 50 meters in 40 seconds. At this rate, how many meters

Sunny_sXe [5.5K]

Answer:

D.) 75 meters

Step-by-step explanation:

1 minute is 60 seconds

So, you divide 60 divided by 40=1.5

1.5 times 50=75

75 meters

D.)

Hope this helped!! :)

Brainliest?!?!

Stay safe and have a nice day/night/afternoon!!!

4 0

3 years ago

Pls help its for my exam

sineoko [7]

6 months
.5 year
50% year

5 0

3 years ago

5-6. Find the constant of proportionality (unit rate) for each set of values. Then use the constant of proportionality to write

kakasveta [241]

5. The constant of proportionality is 1.5

The equation is p = 1.5×s

6. The constant of proportionality is 1.99

The equation is p = 1.99 × a

7. The variables Number of Pens and Cost are not proportional

Please find attached the required graph

8. The variables Number of minutes and Words Typed are not proportional

Please find attached the required graph

The procedure for finding the answers are as follows;

5. The given data are presented as follows;

$\begin{array}{ccc}Shirts \ (s)&&Profit \ (p)\\5&&7.50\\10&&15.00\\15&&22.50\end{array}$

Where two variables, s and p are proportional, we get;

p ∝ s

Therefore;

p = C × s

C = p/s

Where;

C = The constant of proportionality

Therefore, the constant of proportionality, C, of the given variables, (number of shirts, s, and profit, p, is found as follows;

C = 7.50/5 = 15.00/10 = 22.50/15 = 1.5

The constant of proportionality, C = 1.5

The equation that relates the two values is p = 1.5×s

6. For the apples to price relationship, we have;

$\begin{array}{ccc}Apples \ (a)&&Price\ (p)\\4&&7.96\\5&&9.95\\6&&11.94\end{array}$

Therefore;

p ∝ a

p = C × a

C = p/a

Plugging in the values gives;

C = 7.96/4 = 9.95/5 = 11.94/6 = 1.99

The constant of proportionality, C = 1.99

Therefore, the equation relating the two values is p = 1.99 × a

7. The given data is presented in a tabular form as follows;

$\begin{array}{ccc}Number \ of \ pens &&Cost\ \\1&&52\\2&&54\\3&&56\\4&&58\end{array}$

A set of data is proportional or has a proportional relationship if their x, and therefore, y-intercept is (0, 0)

From the graph of the data, created with MS Excel, the y-intercept is 50 which is not equal to zero, therefore, the relationship between the data is not a proportional relationship

8. The given data is presented in a tabular form as follows;

$\begin{array}{ccc}Number \ of \ Minutes&&Words \ Typed\ \\1&&50\\2&&90\\3&&140\\4&&180\end{array}$

From the graph of the data, we have that the y-intercept of the line of best fir is 5, therefore, the relationship is not a proportional relationship

Learn more about proportional relationships here;

brainly.com/question/24289972.

5 0

3 years ago