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Angelina_Jolie [31]
3 years ago
6

1. At a local amusement park, 70% of

Mathematics
1 answer:
pychu [463]3 years ago
7 0

Answer:

56

Step-by-step explanation:

first of all there are 80 rides in total. 70/100 is equal to 70%. So, multiplying 70% by 80 gets you with 56!

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A rectangle with an area of 20 ft.? has a length of 4 feet what is the ratio of area to length. Express as a unit rate
NikAS [45]

It will be whatever the length ratio is squared. So in this case it would be 4/5 to 16/25

6 0
3 years ago
Following the lead of the National Wildlife Federation, the Department of the Interior of a South American country began to reco
chubhunter [2.5K]

Answer:

After 2009 the quality of the forests in this country improving.

Step-by-step explanation:

Consider the provided function.

f(t) = \frac{1}{3}t^3-\frac{5}{2}t^2 + 80

f'(t) = t^2-5t

Substitute f'(t)=0.

t^2-5t=0

t(t-5)=0

t=0\ or\ t=5

It is given that  (0 ≤ t ≤ 10)

The test interval are (0,5) and (5,10)

For (0 < t < 5) the value of f'(t)

For (5 < t < 10) the value of f'(t) >0

Hence, the function is increasing from (5,10).

t = 0 corresponds to 2004.

Therefore, after 2009 the quality of the forests in this country improving.

7 0
3 years ago
Find an equation of the sphere with center (2, -6, 4) and radius 5. Describe its intersection with each of the coordinate planes
Setler [38]
Since this is a 3D object, the center of the sphere has 3 coordinates:  x=2, y = -6 and z = 4.

The equation would be:

(x-2)^2 + (y+6)^2 + (z-4)^2 = 5^2 (answer).

To find the equation of the intersection of this sphere with the xy plane, let z = 0.  Then (x-2)^2 + (y+6)^2 + (0-4)^2 = 25

This simplifies to (x-2)^2 + (y+6)^2 = 5^2 (or 25).

Find and describe the sphere's intersections with the other 2 coord. planes.

8 0
3 years ago
Can you help me please?
7nadin3 [17]

- 3.0 \\  - 5.4 \\  = 8.4
For the first one, you take the original temprature -3.0° and add -5.4° which gives you an answer of -8.4°c :)
3.00 + 5.50 = 8.50 \\ 8.50 \times 7 = 59.50
for the second you add the amount for breakfast and lunch, then multiply by 7 days


4 0
3 years ago
Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. (2 points) f(x) = 3x3 + 39x2 + 39
AysviL [449]
In this equation, p=27 because it is the last term and q=3 because it is the coefficient of the first term. First find all divisors of these numbers:
27: 1, 3, 9, 27
3:1, 3
Then use +/- p/q to find all possible combinations 
+/-1, +/-3, +/-9, +/-27, +/- 1/3

Or your answer can be written as: 1, -1, 3, -3, 9, -9, 27,-27, 1/3, -1/3

Hope this helps!
7 0
3 years ago
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