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3 years ago

{6, 47, 49, 15, 43, 41, 7, 36}

Mathematics

1 answer:

Yakvenalex [24]3 years ago

4 0

Answer:

6,7,15,36,41,43,47,49 This number are arranged in ascending order

Step-by-step explanation:

hope it will help you

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A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

3 years ago

1) The perimeter of a rectangular classroom floor is 90 feet. The length of the floor is twice the

lana [24]

Answer: The equation would NOT help us solve for the length and width of the classroom is " $x + 2y = 90$ ".

Step-by-step explanation:

Let y be the width of the rectangular classroom floor and x be the length of the rectangular classroom floor .

Given ,

The perimeter of a rectangular classroom floor is 90 feet.

The length of the floor is twice the width.

i.e. Length =2 (width)

i.e. x= 2y ..(i)

Also, perimeter = 2(length+width)

$i.e. 2(x+y)=90\\\\\Rightarrow\ 2x+2y=90$

When we put value of x from (i), we get

$2(2y) + 2y = 90$

Hence, the equation would NOT help us solve for the length and width of the classroom is " $x + 2y = 90$ ".

8 0

3 years ago

Miguel bikes 23 km per hour and starts at mile 10. Gabby bikes 28 km per hour and starts at mile 0. Which system of linear equat

7nadin3 [17]

The correct answer is D) Miguel: d=23t+10, Gabby d=28t

We multiply the speed of each person by t, the amount of time. This is where the 23t in Miguel's equation and the 28t in Gabby's equation come from. The starting point is added to this, which leads to 23t+10 and 28t+0 or 28t.

8 0

4 years ago

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Mrs. Manzo's class has 20 girls and 25 boys. She wants to put them into

snow_lady [41]

Answer:

She can make up to 5 groups.

Step-by-step explanation:

We have to find the first divisible number that are divisble for each 20 and 25.

Divisible numbers of 25: 1, 5 Divisible numbers of 20: 1,4, 5, 10

Therefore 5 is the answer. GIMME BRAINLIEST PLS AND THANKS xD

4 0

3 years ago

Cecilia packed a fruit basket for her new neighbors. If 20% of 30 pieces of fruit were bananas, what fraction of the fruit were

Anettt [7]

Answer:

6/30

Step-by-step explanation:

20 percent of 30 is 6 ^_^

7 0

3 years ago

Read 2 more answers