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lisov135 [29]
3 years ago
7

Type the missing number in this sequence:

Mathematics
2 answers:
Eduardwww [97]3 years ago
6 0
The answer would be 62
Gelneren [198K]3 years ago
3 0
The answer would be 62
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Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the l
yawa3891 [41]
Well, it goes 5 inches per second so after 4 seconds it is 4 times 5 =20 inches under the surface,  add that to 5 feet and you get 6 ft and 8 inches
5 0
3 years ago
2 Construct a rational function that will help solve the problem. Then, use a calculator to answer the question.
vaieri [72.5K]

Answer:

<u><em>Dimension of box:-</em></u>

Side of square base = 10 in

Height of box = 5 in

Minimum Surface area, S = 300 in²

Step-by-step explanation:

An open box with a square base is to have a volume of 500 cubic inches.

Let side of the base be x and height of the box is y

Volume of box = area of base × height

                 500=x^2y

Therefore, y=\dfrac{500}{x^2}

It is open box. The surface area of box, S .

S=x^2+4xy

Put  y=\dfrac{500}{x^2}

S(x)=x^2+\dfrac{2000}{x}

This would be rational function of surface area.

For maximum/minimum to differentiate S(x)

S'(x)=2x-\dfrac{2000}{x^2}

For critical point, S'(x)=0

2x-\dfrac{2000}{x^2}=0

x^3=1000

x=10

Put x = 10 into y=\dfrac{500}{x^2}

y = 5

Double derivative of S(x)

S''(x)=2+\dfrac{4000}{x^3} at x = 10

S''(10) > 0

Therefore, Surface is minimum at x = 10 inches

Minimum Surface area, S = 300 in²

7 0
3 years ago
What is the inverse of the function f(x) = x +3?
vladimir1956 [14]
The inverse of the function f(x)= x+3 would be x-3.
5 0
3 years ago
What is the x in 4x-5=8​
ale4655 [162]

Answer:

x= 3.25

Step-by-step explanation:

4x-5=8

1. Take the -5 to the other side as a plus so now your question is

4x=13

2. to get the x by its self divide both sides by 4.

13 divided by 4 is 3.25

therefore x=3.25

8 0
3 years ago
. -5, 10, 7, 10, 9, 0, 1, 9, -1, 5 Work out the mean.
bezimeni [28]

Answer:

6

Step-by-step explanation: because its online

4 0
3 years ago
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