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alexira [117]
3 years ago
6

What is the slope of a line perpendicular to the line whose equation is

Mathematics
1 answer:
almond37 [142]3 years ago
6 0

Step-by-step explanation:

4×-20=10y

4x/10-20/10=y

x/5 -2=y

x/5 +(-2)=y--------(1)

we have

y=mx+c----------(2)

comparing eq. 1 and 2,we get,

slope (m)=1/5

c= -2

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HI PLEASE HELP ME WITH MY CALCULUS 1 HW? I AM REALLY STUCK. I need help with parts d,e,g.
asambeis [7]

(d) The particle moves in the positive direction when its velocity has a positive sign. You know the particle is at rest when t=0 and t=3, and because the velocity function is continuous, you need only check the sign of v(t) for values on the intervals (0, 3) and (3, 6).

We have, for instance v(1)\approx-0.91 and v(4)\approx0.91>0, which means the particle is moving the positive direction for 3, or the interval (3, 6).

(e) The total distance traveled is obtained by integrating the absolute value of the velocity function over the given interval:

\displaystyle\int_0^6|v(t)|\,\mathrm dt=\int_0^3-v(t)\,\mathrm dt+\int_3^6v(t)\,\mathrm dt

which follows from the definition of absolute value. In particular, if x is negative, then |x|=-x.

The total distance traveled is then 4 ft.

(g) Acceleration is the rate of change of velocity, so a(t) is the derivative of v(t):

a(t)=v'(t)=-\dfrac{\pi^2}9\cos\left(\dfrac{\pi t}3\right)

Compute the acceleration at t=4 seconds:

a(t)=\dfrac{\pi^2}{18}\dfrac{\rm ft}{\mathrm s^2}

(In case you need to know, for part (i), the particle is speeding up when the acceleration is positive. So this is done the same way as part (d).)

6 0
3 years ago
Please help me compute standard deviation! Here is the problem, as written.
aleksandr82 [10.1K]

Answer:

The standard deviation for the income of super shoppers is 76.12.

Step-by-step explanation:

The formula to compute the standard deviation for the grouped data probability distribution is:

\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}

Here,

<em>x</em> = midpoints

\mu=\sum x\cdot P(x)

Consider the Excel table attached below.

The mean is:

\mu=\sum x\cdot P(x)=32.3

Compute the standard deviation as follows:

\sigma=\sqrt{\sum [(x-\mu)^{2}\cdot P(x)]}

   =\sqrt{259.71}\\\\=76.1155204\\\\\approx 76.12

Thus, the standard deviation for the income of super shoppers is 76.12.

3 0
3 years ago
Find the value of x in each of the given triangles.​
Bingel [31]

Answer:

7.5

Step-by-step explanation:

10x + 8x + 6x = 180°

24x = 180°

x = 180°÷24

× = 7.5

3 0
3 years ago
Read 2 more answers
Find the exact value by using a half-angle identity. sine of five pi divided by twelve
maks197457 [2]

Answer:

cos

(

5

π

12

)

=

√

2

−

√

3

2

Explanation:

By the half angle formula:

XXXX

cos

(

θ

2

)

=

±

√

1

+

cos

(

θ

)

2

If  

θ

2

=

5

π

12

XXXX

then  

θ

=

5

π

6

Note that  

5

π

6

is a standard angle in quadrant 2 with a reference angle of  

π

6

so  

cos

(

5

π

6

)

=

−

cos

(

π

6

)

=

−

√

3

2

Therefore

XXXX

cos

(

5

π

12

)

=

±







⎷

1

−

√

3

2

2

XXXXXXXXXXX

=

±







⎷

2

−

√

3

2

2

XXXXXXXXXXX

=

±

√

2

−

√

3

4

XXXXXXXXXXX

=

±

√

2

−

√

3

2

Since  

5

π

12

<

π

2

XXXX

5

π

12

is in quadrant 1

XXXX

→

cos

(

5

π

12

)

is positive

XXXX

XXXX

XXXX

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3 years ago
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bagirrra123 [75]

Answer:

if it decreased last year and there we none variable so it would be 0

6 0
2 years ago
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