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Elza [17]
2 years ago
14

Guided Practice

Mathematics
1 answer:
Andre45 [30]2 years ago
5 0
5 is it I think this crazy
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Show that the equation 2x + 3 cos x + e ^ x = 0 has a root on the interval [- 1, 0]
ExtremeBDS [4]

If <em>x</em> = -1, you have

2(-1) + 3 cos(-1) + <em>e</em> ⁻¹ ≈ -0.0112136 < 0

and if <em>x</em> = 0, you have

2(0) + 3 cos(0) + <em>e</em> ⁰ = 4 > 0

The function <em>f(x)</em> = 2<em>x</em> + 3 cos(<em>x</em>) + <em>eˣ</em> is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < <em>c</em> < 0 such that <em>f(c)</em> = 0.

5 0
3 years ago
Truck brakes can fail if they get too hot. In some mountainous areas, ramps of loose gravel are constructed to stop runaway truc
pickupchik [31]

Kinetic engery = -1/2mv^2

Work = Fd

Combine:

-1/2mv^2 - Fd = 0

-1/2mv^2 = (0.30*15000*9.81*cos(6))d = 0

Multiply both sides by 2:

v^2 = 2d(0.30*9.81*cos(6))

Solve for d:

d=v^2 / 2(0.30*9.81*cos96))

v = speed:

d = 35^2 / 2*0.30 * 9.81 * cos(6)

d = 1225 / 5.85376

d = 209.27 meters. Round answer as needed.

7 0
3 years ago
Solve for t. 3t - 18 = 4(-3-3/4t). t=
Alex73 [517]

Answer:T=1

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Consider the line y=5x -3 Find the equation of the line that is patellar to this line and passes through the point (-8, -3) Cons
Lynna [10]

Answer:

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: y = 5x+37

Step-by-step explanation:

Given equation of line is:

y=5x-3

The general form of equation of line in slope-intercept form is written as:

y = mx+b

Here m(co-efficient of x) is the slope of the line and b is the y-intercept.

Comparing the given equation with the general form we get

m = 5

Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.

Let m1 be the slope of required line parallel to y=5x-3

Then m1=5

Putting in general form

y = m_1x+b

y=5x+b

To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.

The point is (-8,-3)

-3 = 5(-8)+b\\-3 = -40+b\\b = -3+40\\b = 37

Putting the value of b and m1, we get

y = 5x+37

Hence,

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: y = 5x+37

5 0
3 years ago
I dont understand this question <br><br> 2.45 x 2.69 x 86.3
Tasya [4]

Answer:

The answer is 568.76 if u want rounded and 568.76015

Step-by-step explanation:

Because when you multiply them you get the answer. Much easier if you line them up.





Plzzz give thanks and give brainlest

7 0
3 years ago
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