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Rainbow [258]
3 years ago
10

What is the derivative of a function?

Mathematics
1 answer:
user100 [1]3 years ago
3 0
<span>In mathematical analysis it's the measure of how fast does value of the function change in relation to change of its variables.
</span>
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there were three apples , 1 mixed fruit, 2 grape, and 4 tropical fruit juice boxes in the cooler at the picnic. What is the prob
ivanzaharov [21]

Answer:

1/45 ≈ 0.022

Step-by-step explanation:

There are originally 10 juice boxes in the cooler, 2 of which are grape.

The probability that the first juice box is grape is 2/10.

The probability that the second juice box is grape is 1/9.

The probability of both is (2/10) (1/9) = 1/45 ≈ 0.022.

3 0
3 years ago
Kathy is fencing in her yard that has an area of 800 square feet. Her yard is in the shape of a rectangle where the length is 60
anygoal [31]

Answer:

The dimensions of the yard are W=20ft and L=40ft.

Step-by-step explanation:

Let be:

W: width of the yard.

L:length.

Now, we can write the equation of that relates length and width:

L=5W-60 (Equation #1)

The area of the yard can be expressed as (using equation #1 into #2):

Area=W*L=W*(5W-60) (Equation #2)

Since the Area of the yard is 800 ft^2, then equation #2 turns into:

800=W*(5W-60)

Now, we rearrange this equation:  

800=W*(5W-60)//800=5W^2-60W//5W^2-60W-800=0

We can divide the equation by 5 :

W^2-12W-160=0

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since (-20)*8=160 and -20+8=-12. The equation factorised looks like this:

(W-20)(W+8)=0

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

5*20-60=40

Therefore, the dimensions of the yard are W=20ft and L=40ft.

7 0
2 years ago
A cake recipe calls for 4.5 deciliters of milk. How many liters of milk is needed for the recipe?
Bad White [126]
0.45 liters. I need twenty characters
5 0
3 years ago
Read 2 more answers
Soire 4(x + 1) + 8 = 24. (I point)<br> оа<br> A 3.75<br> B -2<br> C 5<br> D 3
Olin [163]

Answer:

3

Step-by-step explanation:

4(x + 1) + 8 = 24

Subtract 8 from each side

4(x + 1) + 8-8 = 24-8

4(x + 1) = 16

Divide by 4

4(x+1)/4 = 16/4

x+1 = 4

Subtract 1

x+1-1 = 4-1

x=3

7 0
3 years ago
PLEASEEE
zzz [600]

Answer:

13.4

Step-by-step explanation:

AB =2DC

So, DC=AB/2

Now, AB/AC=DE/DC

AB/28=13/(AB/2)

AB²=13×28×2

AB=√728

AB=26.98

now, DC=AB/2

=13.4

6 0
2 years ago
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