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3 years ago

What is the derivative of a function?

1 answer:

3 0

In mathematical analysis it's the measure of how fast does value of the function change in relation to change of its variables.

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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) оа A 3.75 B -2 C 5 D 3

Olin [163]

Answer:

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