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2 years ago

What is the 185th digit of the following pattern 12345678910111213141516

Mathematics

1 answer:

Sphinxa [80]2 years ago

7 0

Answer:

185

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,2021.22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40

I give up

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If x^2 + xy = 20 and dx/dt = -4 when x = -5 and y = 1, what is dy/dt

SpyIntel [72]

Answer:

3.2

Step-by-step explanation:

x² + xy = 20

Take the derivative with respect to time:

2x dx/dt + x dy/dt + y dx/dt = 20

(2x + y) dx/dt + x dy/dt = 20

Given x = -5, y = 1, and dx/dt = -4:

(2(-5) + 1) (-4) + (-5) dy/dt = 20

(-10 + 1) (-4) − 5 dy/dt = 20

36 − 5 dy/dt = 20

5 dy/dt = 16

dy/dt = 3.2

7 0

3 years ago

PLEASE HELP!!

MAVERICK [17]

Answer:

d = 15.8 m

Step-by-step explanation:

Apply the Pythagorean Theorem to find the length of the diagonal. The correct equation for this particular rectangle is

d = √(9² + 13²) = √250 = √25·√10 = 5√10

To the nearest tenth, this comes to d = 15.8 m

4 0

2 years ago

Read 2 more answers

33 points!! The line contains the point (4,-2) and is perpendicular to 4x+3y=-6 The equation of the line is:

Deffense [45]

Answer:

y = 3/4 x - 5

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. We find the slope of the given line. Then we can find the slope of the reciprocal.

4x + 3y = -6

Solve for y.

3y = -4x - 6

y = -4/3 x - 2

The slope of the original line is -4/3.

The slope of the perpendicular is 3/4.

Now we need to find the equation of line with slope 3/4 that contains point (4, -2).

y = mx + b

-2 = (3/4)(4) + b

-2 = 3 + b

-5 = b

b = -5

The equation is

y = 3/4 x - 5

5 0

3 years ago

Angle XYZ = 2X° and angle PQR = (8X -20)°. If angle XYZ and angle PQR are supplementary, find the measure of each angle. Angle P

Alchen [17]

Answer:

$PQR = 140$

Step-by-step explanation:

Given

$XYZ = 2X$

$PQR = 8X - 20$

Required

Find PQR

Since both angles are supplementary, we have:

$XYZ + PQR = 180$

This gives:

$2X + 8X - 20 = 180$

$10X - 20 = 180$

Collect Like Terms

$10X = 20 + 180$

$10X = 200$

Divide through by 10

$X = 20$

Substitute 20 for X in $PQR = 8X - 20$

$PQR = 8 * 20 -20$

$PQR = 140$

7 0

3 years ago

QUESTION 3 Toyota provides an option of a sunroof and side airbag package for its Corolla model. This package costs $1400. Assum

Orlov [11]

Answer:

n=601

Step-by-step explanation:

Formula used:

$n=z(\frac{\alpha }{2})^2\frac{p(1-p) }{E^2}$

Solution:

$n=z(\frac{\alpha }{2})^2\frac{p(1-p) }{E^2}$

Where,

$\frac{\alpha }{2}=0.025$

As there is no previous estimate for p

Then, p=0.5

Here on using the table

$z(\frac{\alpha }{2}) =1.959963985$

Also,

E=0.04

p=0.5

Thus,

n=600.2279407

On approximating the value,

n=601

6 0

2 years ago