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Ludmilka [50]
3 years ago
12

The number of mosquitoes in Minneapolis, Minnesota (in millions of mosquitoes) as a function of rainfall (in

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
8 0

Answer:

5 cm

Step-by-step explanation:

Given the function:

m(x)=-(x-5)^{2} +25

As we know the above function is a quadratic equation (vertical parabola) open downward and the vertex is the maximum number of mosquitoes.

The vertex form of a quadratic function is:

y=a(x-h)^{2} +k where (h,k) is the vertex

Our given function have the vertex form as well, so the

(h,k) = (5,25)

At the height of 5 cm the rainfall will produce the maximum number of mosquitoes

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What is the range of the following relation?<br><br> A. all real numbers<br> B. y ≤ 0<br> C. x ≤ 0
s2008m [1.1K]

Answer:

B. Y ≤ 0

Step-by-step explanation:

In other words, the range of the relation is all the y-values greater or equal than zero, which we represent with the inequality: y ≤ 0. The domain, on the other hand, is all the real numbers; since x can take any value.

3 0
3 years ago
Use the information given to answer the question
Stels [109]
The answer is 30. The (14) comes from the amount the Tshirts cost, the 12 is the amount of T-shirts that are printed each hour and 30 is the starting amount of T-Shirts
4 0
3 years ago
Find the sum of this infinite geometric series where a1=0.3 and r=0.1
ratelena [41]

Answer:

1/3

Step-by-step explanation:

The formula for computing the sum of an infinite geometric series is

S=\frac{a_1}{1-r} where r is between -1 and 1 and r is the common ratio, and a_1 is the first term of the series.

So let's plug in:

S=\frac{0.3}{1-0.1}

S=\frac{0.3}{0.9}

S=\frac{3}{9} I multiplied bottom and top by 10.

S=\frac{1}{3} I divided top and bottom by 3.

The sum is 1/3.

8 0
3 years ago
Max builds rail fences. For one style of fence, each section uses 3 vertical fence posts and 6 horizontal rails. How many rails
Alex777 [14]

Answer:

The correct answer is 54 rails.

Step-by-step explanation:

Max builds rail fences. For one style of fence, each section uses 3 vertical fence posts and 6 horizontal rails.

For every style of fence Max uses 3 vertical fence posts and 6 horizontal rails.

For every style of fence Max uses vertical fence posts and horizontal rails in the ratio of 1 : 2.

Max uses 27 posts . Therefore he needs to use 27 × 2 = 54 rails.

Therefore Max needs 54 rails for a fence that has 27 posts.

6 0
3 years ago
What is the solution set? −9.5x−1.5&gt;−30<br> x= ?
Alborosie
Hi there!

x > 0.073171.
Why?

First to solve we need to add 30x to both sides of the inequality.

-9.5x - 1.5 + 30x > -30x + 30x
20.5x - 1.5 > 0

Next we need to add 1.5 to both sides.

20.5x - 1.5 + 1.5 > 0 + 1.5
20.5x > 1.5

Finally, divide both sides by 20.5.

20.5x/20.5 > 1.5/20.5

x > 0.073171

So our answer is x > 0.073171.

Hope this helps!
7 0
3 years ago
Read 2 more answers
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