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Firlakuza [10]
3 years ago
13

An opinion poll asked participants if they watched a particular television show. Of the 80 participants, 30 were male and 50 wer

e female. There were 45 participants that had watched the show and 35 that had not. Only 20 of the male participants had watched the show.
Mathematics
2 answers:
zlopas [31]3 years ago
7 0

what's the question?

Alina [70]3 years ago
3 0

Answer:

sorry but I do not know exactly what you are asking

Step-by-step explanation:

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A particle moves along the x–axis so that at time t its position is given by x(t) = (t+1)(t–3)3. For what values of t is the vel
rosijanka [135]

I'll assume that's an exponent at the end there:

x(t) = (t+1)(t-3)^3

The first derivative gives the velocity.  The second derivative gives the acceleration; increasing velocity is the same as positive acceleration.  So we want to find when the second derivative is positive.

Let's see if we can use d(uv) = u\, dv + v\, du to avoid multiplying this out.

x'(t) = 3 (t+1)(t-3)^2 + (t-3)^3

That worked; let's do it again:

x''(t) = 3( 2(t+1)(t-3) + (t-3)^2) + 3(t - 3)^2

x''(t) = 3(t-3) ( 2(t+1)  + (t-3) + (t - 3) ) = 3(t-3)(4t-4)=12(t-1)(t-3)

That's a nice parabola.  It's zero or negative for 1 \le t \le 3 so positive everywhere else:

Answer: Increasing velocity when t < 1 or t > 3


4 0
3 years ago
What is One fourth of 12
Ulleksa [173]

Answer:

3

Step-by-step explanation:

We can start by writing one fourth as a fraction

1/4

Then we multiply it by 12.

1/4*12

This also means 12 divided by 4 which is 3.

8 0
2 years ago
Read 2 more answers
Use function notation to represent how much the volume of the box (in cubic inches) changes by if the cutout length increases fr
MakcuM [25]

Answer:

Increases 64 times

Step-by-step explanation:

The volume of the box can be calculated using formula

V=l\cdot w\cdot h,

where

V = volume,

l = length,

w = width,

h = height

If the length was 0.3 inches, then the volume was

V_1=0.3\cdot w\cdot h=0.3wh

When the length became 1.2 inches, then all dimensions became 1.2 :0.3 =4 times greater, then the volume was

V_2=1.2\cdot (4w)\cdot (4h)=19.2wh

The volume increases

\dfrac{V_2}{V_1}=\dfrac{1.92wh}{0.3wh}=64 times

7 0
3 years ago
If 40% of students in the class are boys, and if there are 15 girls in the class, then how many students are in the class
sveticcg [70]

Answer: 25 students 15 girls 10 boys

5 0
3 years ago
15-3/4x=-9 solve the equation
natulia [17]
15 - 3/4x = -9

-3/4x +15 = -9

-3/4x = -24

(-3/4x) * (4/-3) = (4/-3) * -24

x = 32
5 0
4 years ago
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