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Tema [17]
3 years ago
11

1. Suppose xy = 20, where x and y are functions of t. What

Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0

Answer:

(c) 1.6

Step-by-step explanation:

Given, xy = 20 and both x, y are functions of t.

So,

⇒ \frac{d(xy)}{dt} = x\frac{dy}{dt} + y\frac{dx}{dt}

now, when x = 4, y will be 5 as xy = 20.

by subtituting the values in above equation, we get;

⇒ \frac{d(20)}{dt} = 4(-2) + 5\frac{dx}{dt}

⇒ 0 = -8 + 5\frac{dx}{dt}

⇒ \frac{dx}{dt} = \frac{8}{5}

⇒ \frac{dx}{dt} = 1.6

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When Sally went bowling, her scores were 108, 72, and 95. If she bowls a 4th game, what will her score need to be to give her an
barxatty [35]
She needs a score of 89 for it to be an average of 91.00
4 0
4 years ago
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A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled
n200080 [17]

Answer:

24000 pieces.      

Step-by-step explanation:

Given:

Side lengths of cube = \frac{1}{4} \ foot

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

Volume\ of\ cube =a^{3}

                          =\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot

                                   

Length = 8 foot, Breadth = 6\frac{1}{4} =\frac{25}{4} \ foot, Height =7\frac{1}{2} =\frac{15}{2} \ foot

Volume\ of\ rectangular\ prism =length\times breadth\times height

                                                =8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = \frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.                                

7 0
3 years ago
Question 9 - (3 marks available)
finlep [7]

Answer: a) 1,600

              b) 35,000

              c) 120,000

<u>Step-by-step explanation:</u>

First, round each number to one significant digit (the first digit).

Then multiply them.

a) 17   --> rounds to 20

  82   --> rounds to 80

                                       20 x 80 = 2 x 8 with two zeros

                                                     = 1 6 0 0

b) 54   --> rounds to 50

  671   --> rounds to 700

                                       50 x 700 = 5 x 7 with three zeros

                                                       = 3 5 0 0 0

c) 207   --> rounds to 200

  643   --> rounds to 600

                                       200 x 600 = 2 x 6 with four zeros

                                                          = 1 2 0 0 0 0

6 0
3 years ago
Can someone give me the steps to solving this equation? 3^x = 81
r-ruslan [8.4K]
Do 81/3=27/3=9/3=3, So you see the answer is 3^<span>4, I don't know if that's the official way to solve it but it works.</span>
5 0
3 years ago
Can you please give me that answer
4vir4ik [10]

Answer:

Obtuse Triangle

Step-by-step explanation:

When there is an angle with a measurement greater than 90 degrees, the triangle is an obtuse triangle.

8 0
2 years ago
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