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Ierofanga [76]
3 years ago
13

Answer this question please and thank you

Mathematics
2 answers:
vova2212 [387]3 years ago
6 0
1.
a. 21.3
b. 21

2.
a. 30.693
b. 39 - 9 = 30
Pachacha [2.7K]3 years ago
3 0

Step-by-step explanation: 13.93 + 7.37 = 21.3        14 + 7 = 21

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If f(x)=3^2 and g(x)=4x^3+1 , what is the degree of (f*g)(x)?
N76 [4]
I'm assuming you meant to say f(x) = 3x^2. If that assumption is correct, then the degree is found by multiplying the leading terms from both f(x) and g(x). The leading terms are 3x^2 and 4x^3

3x^2*4x^3 = (3*4)*(x^2*x^3) = 12x^(2+3) = 12x^5

The exponent of that result is 5, so the degree of (f*g)(x) is 5

Answer: 5
5 0
3 years ago
The area of a circle is 132.7 square cm. Find the diameter.
hram777 [196]

13 cm (approximately)

Step-by-step explanation:

Let the radius of the circle be 'r'.

Area of the circle = πr²

=> 132.7 = (22/7) r²

=> 6.5 ≈ r

Therefore, diameter = 2radius = 2(6.5) = 13 cm

6 0
2 years ago
Alex is a writer who writes poems and short stories. For an upcoming writer's workshop Alex wants to write some new works. He ne
pashok25 [27]

Answer:

The maximum number of works that he can write while staying in his time budget is 24.

21 poems and 3 short stories

Step-by-step explanation:

In order to solve this problem we must first determine what our variables are. In this case it's the number of poems and short stories he can write.

p = # of poems

s = # of short stories

Next, we must build our objective function which will represent the total number of works he can write.

N=p+s

where N is the number of works.

Next, we must write the constrains based on the information provided by the problem.

The problem tells us that it takes him 30 hours to write a poem and 70 hours to write a short story and that he has 840 hours available to write them, so that constrain will be the following:

30p+70s \leq 840

it also tells us that he wants to write at least 4 poems and 3 short stories so there we have our other two constrains.

p \geq 4

s \geq 3

once we got our constrains we can go ahead and graph them to see how they will behave. (See attached picture)

In the graph p is the horizontal axis and s is the vertical axis.

On the graph we can see a polygon that is formed by the restriction. The vertices of the polygon will represent the optimal conditions for this linear programming problem. There are three optimal solutions there, so we need to test them to see which will return the greatest number of works he can write while keeping the given conditions.

Option 1:

4 poems and 3 short stories

N=4+3

N= 7 works

Option 2:

4  poems and 10 short stories

N=4+10

N=14 works

Option 3:

21 poems and 3 short stories

N=21+3

N=24 works

So the optimal solution will be given by option 3 with 21 poems and 3 short stories.

5 0
2 years ago
15.5 round to the nearest tenth
kirill115 [55]
15.5 rounded to the nearest tenth is 15.5
8 0
3 years ago
Read 2 more answers
Another name for Plan n
EleoNora [17]

Answer:DN

Step-by-step explanation:

3 0
2 years ago
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