A computer can sort x objects in t seconds, as modeled by the function
below:
t=0.003.x² +0.001.x
How long, in seconds, will it take the computer to sort 12 objects?
Round your answer to the nearest hundredth of a second.

Answers

Answer 1

We are given that, a computer can sort x objects in t seconds, and the below relations is satisfied for each x and t

t = 0.003 x² + 0.001 x

For 12 objects, we can substitute x = 12

⇒ t = (3/1000) (12)² + (1/1000) 12

⇒ t = (12/1000) (3 × 12 + 1)

⇒ t = (12×37/1000)

⇒ t = 444/1000

⇒ t = 0.444

⇒ t ≈ 0.40 seconds (2 dp)


Related Questions

rounding to the nearest hundredth percent. if the cost of an item is $16.90 the selling price is $25.60. The dollar markup is $8.70. what is the percent markup on cost ?​

Answers

the selling price is 25.60, the cost was 16.9, that means 25.6 - 16.9 = 8.7, so the item's price has been bumped up by 8.7 bucks, which is the markup, how much is that of 25.6?

worded differently, if we take 16.9(cost) to be the 100%, what is 8.7 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 16.9 & 100\\ 8.7& x \end{array} \implies \cfrac{16.9}{8.7}~~=~~\cfrac{100}{x} \\\\\\ 16.9x=870\implies x=\cfrac{870}{16.9}\implies x\approx 51.48[/tex]

7 yards and 2feet equals how many feet?

Answers

Answer:

23 ft

Step-by-step explanation:

a yard is 3 feet multiply it by 7 and you get 21 add 2 and you get 23. 23ft is your answer

Gavin constructed a model building and wants to cover the outside with paper. How much paper will he need to cover the entire model?

Answers

Answer:

  1728 cm²

Step-by-step explanation:

The area of the model is the same as the area of the net shown.

__

by color

Each blue rectangle is 10 cm by 24 cm, and there are two. Their area is ...

  2×(10 cm)(24 cm) = 480 cm²

Each green rectangle is 12 cm by 24 cm, and there are three. Their area is ...

  3×(12 cm)(24 cm) = 864 cm²

Each orange pentagon consists of a triangle 12 cm wide and (20-12) = 8 cm high, on top of a square 12 cm on a side. There are 2 of them. Their area is ...

  2×((12 cm)² +1/2(12 cm)(8 cm)) = 384 cm²

__

total

The model's total area is ...

  blue area + green area + orange area = (480 +864 +384) cm² = 1728 cm²

Gavin will need 1728 cm² of paper to cover the entire model.

will mark brainlist if you answer:)))

Answers

Answer:

Option 3

Step-by-step explanation:

The interquartile range is the same in both with a value of 12. The median and the third quartile are clearly different with the middle bit of the box and the right bit of the box being in different places and the range is quite different with one being 32 and the other one being 24.

Please help me answer this question please

Answers

Answer:

B

Step-by-step explanation:

ok so let us start with the bases its 4*3 which is 12 and there are 2 so 12+12 and the bottom is 4*10 so its 12+12+40 then the back is 3*10 so its 12+12+40+30 and the front is easy 5*10 so 12+12+40+30+50 is the correct answer

Make me brainliest please

Help!!
f (x) =-3x+25; Find f(x)=52

Answers

Solution for -3x+25=52 equation:

Simplifying

-3x + 25 = 52

Reorder the terms:

25 + -3x = 52

Solving

25 + -3x = 52

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-25' to each side of the equation.

25 + -25 + -3x = 52 + -25

Combine like terms: 25 + -25 = 0

0 + -3x = 52 + -25

-3x = 52 + -25

Combine like terms: 52 + -25 = 27

-3x = 27

Divide each side by '-3'.

x = -9

Simplifying

x = -9

An uber driver charges a flat fee of $6.00 and $1.50 per mile, which equation can be used to find the total cost of a ride from the uber driver? Group of answer choices C=(1.5+6)m m=1.5C+6 C=6m+1.5 C=1.5m+6

Answers

Answer:

C = 1.5m+6

Step-by-step explanation:

The numbers of miles that we ride, we are charged 1.5 based on that. Hence, 1.5m. And we are anyway charged with 6 dollars, so plus 6.

help me I don't know this answer ​

Answers

Answer:

What is the question?

Step-by-step explanation:

If a polygon had 275diagonals, how many sides
must it have?

Answers

Answer:

25 sides

Step-by-step explanation:

Number of diagonals = n(n-1)/2 where n is the number of sides.

Therefore,

n(n-1)/2 = 275

n = 25

9 Which expression is equivalent to 53p + (16p+7p)?
A (16p.7p) + 53p
B (53p • 16p): 7p
C (16p + 7p): 53p
D (53p + 16p) + 7p

Answers

The expression 53p + (16p+7p) is equivalent to expression (53p + 16p) + 7p

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 53p + (16p + 7p)

Fifty three times of p plus sixteen p plus seven p.

In the given expression p is the variable and plus is the operator.

We need to find the equivalent expression.

Equivalent expressions are expressions that work the same even though they look different.

53p + (16p + 7p)

76p

(53p + 16p) + 7p is also equal to 76p

Hence, the expression 53p + (16p+7p) is equivalent to expression (53p + 16p) + 7p

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

X/y=60. z/X=3then X/y+X/z=?

Answers

Answer:

since x/y is 60

z/X is 3 then

X/z is inverse of z/X

there fore X/z is 1/3

60+1/3= 180+1/3

60.33

Is 5 inches bigger than 1/3 if a foot

Answers

Answer:

Yes

Step-by-step explanation:

1 foot= 12 inches

12÷3=4

This means that 1/3 of a foot is 4 inches

5 inches is larger than 4 inches

Answer:

Yes

Step-by-step explanation:

1/3 is 0.33333333333333 foot which  = 4 inches.

Formula: multiply the value in feet by the conversion factor '12'.

So, 0.33333333333333 foot = 0.33333333333333 × 12 = 4 inches.

The other value is 5 inches.

5 inches is greater than 4 inches.

A 12 inch line segment is divided into two parts. Which of the following lengths result in a ratio closest to the golden ratio, 1+√5/2 ?

Answers

Answer:

2:4

Step-by-step explanation:

I remember doing this is my class

Which do you think is greater, 4x3 2/5 or 3x4 2/5? How can you tell without multiplying? Explain

Answers

Answer:

They are the same.

Step-by-step explanation:

According to the commutative property, switching the order of this will not change the outcome.

when x=1/3. what is the value of 3x+3/x

Answers

3(1/3) + 3/(1/3) = 1+9
Answer : 10

Choose SSS, SAS, or neither to compare
these two triangles are congruent
ASA
SSS
SAS
neither

Answers

ASA
there are two congruent angles that are between a congruent line segment.

At a tournament, the bowling league is providing 160 sandwiches for its members. The table shows the number of different types of sandwiches that were ordered. The ratio of turkey sandwiches to roast beef sandwiches is 5:3. Drag the numbers to complete the table.

Answers

Answer: See below

Step-by-step explanation:

The total number of ordered sandwiches is 160

The total number of Turkey Sandwiches is 80

The ratio of Turkey to Roast Beef is 5:3

So from this, 5 times of a value is 80

So 5x = 80

And x = 16

So the Roast beef sandwiches are 16×3=48

Therefore, the table is:

Sandwich type       Number

Turkey                         80

Roast Beef                  48

Vegetarian                  32

Simplify: 80 – 40 ÷ 4 · 5 + √25

Answers

Answer:

35

Step-by-step explanation:

80 – 40 ÷ 4 · 5 + 5

37. Which of the following multiplication problems has a product that is less than
Select three that are correct.
A.
1
x
8 2
х
NI
х
B.
2
5
8
C.
CI W w
Х
wIW NI
co
D.
8
х
3
E.
8
х
w l w
100
8
F.
X
8 7
00 1 w
х

Answers

Answer:

Problem 1. Pikachu is level one and he wants to become level two. But he has to train, so he discovers that his attack swift gives him 1.176 points of experience. But he needs 2.352 points to reach the next level.

How many times does he have to perform the swift attack?

a)1 b)2 c)3 d)4

Problem 2. Snorlax needs to reach level 10 to enter the pokemon gym. But he is currently level 4. However, he discovers that his attack smash gives him .392 experience points and he needs 2.352 to reach level 10. How many times does he have to perform smash?

a)4 b)5 c)6 d)7

Step-by-step explanation:

This is a very easy question if you think the opposite.

1.- The opposite of multiplication is division. So with this knowledge, we can form any amount of problems we want we just need to combine the numbers with our product which is 2.352.

2.- So in the first place, let's make it easy. If we divide 2.352 in 2 then we are going to obtain. 1.176 as a product. Then we combine our product with our divisor and we can multiply them to find our initial product which was 2.352.

3.- In the second place we go more complicate, we divide 2.352 in 6 and we will obtain. .392 then we combine .392 with 6 to multiply them and we obtain back our initial objective. Can you see? it is the easiest thing to do.

4.- We then look for scenarios to put these two processes and we will find our problems.

Problem 1. Pikachu is level one and he wants to become level two. But he has to train, so he discovers that his attack swift gives him 1.176 points of experience. But he needs 2.352 points to reach the next level.

How many times does he have to perform the swift attack?

a)1 b)2 c)3 d)4

Problem 2. Snorlax needs to reach level 10 to enter the pokemon gym. But he is currently level 4. However, he discovers that his attack smash gives him .392 experience points and he needs 2.352 to reach level 10. How many times does he have to perform smash?

a)4 b)5 c)6 d)7

please help 10 points!!!

Answers

Answer:

2 seconds

Step-by-step explanation:

The variable S represents the height off the ground, so we can substitute in the value 140 for it:

[tex]140 = 80t - 5t^{2}[/tex]

We can add [tex]5t^{2}[/tex] to both sides and subtract [tex]80t[/tex] so the equation is in standard form:

[tex]5t^{2} - 80t + 140 = 0[/tex]

Every term has five as a factor, so we may divide both sides of the equation by 5.

[tex]t^{2} - 16t + 28 =0[/tex]

To factor this, we need two numbers that multiply to 28 and sum to -16. These numbers are -14 and -2, so these are the two factors:

[tex](t-14)(t-2)=0[/tex]

We can see that when t = 14 or 2, the whole left has a value of zero, so they are the two answers.

We are asked when the rocket first is at 140m, and 2 seconds is before 14, so the answer is 2 seconds.

16 out of every 20 students prefer hamburgers or hotdogs what percent of students prefer hamburgers

Answers

Answer:

16

Step-by-step explanation:

16

On the coordinate grid, the graph of y = RootIndex 3 StartRoot negative x minus 1 EndRoot is shown. It is a reflection and translation of y = RootIndex 3 StartRoot x EndRoot. On a coordinate plane, a cube root function goes through (negative 2, 1), has an inflection point at (negative 1, 0), and goes through (7, negative 2). What is the range of the graphed function? {x |-2 < x < 2} {y |-2 < y < 2} {x | x is a real number} {y | y is a real number}

Answers

Answer:

Step-by-step explanation:

B {y |-2 < y < 2}

Which number is on the y-axis (4,6)

Answers

Answer:

6

Step-by-step explanation:

=(x + 4)2 + 6, what is the y-intercept?

Answers

Answer:

Y-intercept is (0,14)

Step-by-step explanation:

(0,14)

DC↔ means “ _____ DC”

A. line DC
B. ray DC
C. line segment DC
D. angle DC

Answers

Your answer would be line DC or a have a nice day!
The answer is A. Line DC hope this helps :)

Hello I was wondering What is 7% of 150

Answers

10.5
0.07(150)=10.5
Hope this helps

Answer:

10.5

Step-by-step explanation:

Question 2 of 6 If x= 5 and y= 2, find: ху​

Answers

Answer:

10

Step-by-step explanation:

xy is simplyfied for x times y

is x is 5 and y is 2 you just substitute them in to get

5 x 2 = 10

                - -- - - - - - - - - - - - -- - - - - - - - - - - - - - - - -- - - -

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Evaluate xy when x=5 and y=2

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Write 5 in lieu of x:-

5y

Write 2 in lieu of y:-

5(2)

Multiply:-

10

Good luck.

    - - -- - - -  - --  -- - - - - - - - - - - - - - - --  -- - -  -- - -  -- - - - - - - - - - - - - - -

What are the coordinates of the point on the directed line segment from (-6, 9)(−6,9) to (4, -1)(4,−1) that partitions the segment into a ratio of 1 to 4?

Answers

Yea man it makes no sense to me

Which angles are adjacent?

Answers

Answer:

EBF   and  FBG

Step-by-step explanation:

Adjacent means  'next to each other '

can anyone help find the measurement pls ty

Answers

Answer:

4.63 mi

Step-by-step explanation:

consider 3.5 mi as height of the triangle and 4.63 mi as base you can get it.

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