The only equation that can produce a loop at the bottom is the one that has opposite sign non-zero values for r at π/2 and 3π/2. The last selection meets that requirement.

r = 1 + 3 sin(θ)

6 0

2 years ago

باستعمال log4 2=0.5 فإن قيمة log4 32 هي

11Alexandr11 [23.1K]

Answer:

$\mathbf{\log_432}=2.5$

Step-by-step explanation:

$\log_42=0.5$

حن بحاجة إلى إيجاد $\log_432$

دع $\log_432=x$

$\log_42\times 2\times 2\times 2\times 2=x$

$\Rightarrow x=\log_42^5$

$\Rightarrow x=5\log_42$ $[\because \log_ab^x=x\log_ab]$

$\Rightarrow x=5\times0.5$

$\Rightarrow x=2.5$

$\mathbf{\therefore\log_432=2.5}$

7 0

2 years ago

1. Mr. Villa bought 91.25 inches of plastic labeling tape. He will use 1.25 inches long to label each.How many labels can he mak

Cloud [144]

1.25x=91.25 now solve for x and we get x=73 so Mr. Villa can do 73 labels

5 0

2 years ago

The admission fee at a movie theater is $5 for children and $9 for adults. If 3200 people go to the movies and $24000 is collect

Usimov [2.4K]

For this problem, let x be the number of children and y for adults. Formulate the equations: 1st equation, x + y = 3,200 and 2nd equation 5x + 9y = 24,000. Re-arrange 1st equation into x = 3200 - y. Then, substitute into 2nd equation, 5(3,200-y) + 9y = 24,000. Then, solve for y. The 16,000 - 5y + 9y = 24000. Final answer is, y = 2000 adults went to watch the movie.

6 0

2 years ago