Between which two square roots of integers could you find Euler's number (2.7182818284...)?

Answers

Answer 1

Answer: The square root of 7 is roughly 2.6
The square root of 8 is roughly 2.8

Hence Euler's number is between $√(7)$ and $√(8)$ .

Answer 2

Answer: between the square roots of 7 and 8

e^2 = 7.38 roughly

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If the product of a number and -8 is subtracted from the number, the result is 7 more than the number. find the number. Use x for the number.x-(-8x)=

Answers

$x-(-8\cdot x)=x+7\n\nx-(-8x)=x+7\n\nx+8x=x+7\n\n9x=x+7\n\n9x-x=x+7-x\n\n8x=7\n\n8x:8=7:8\n\nx=(7)/(8)$

You have said that [ x - (-8x) = x + 7 ] .

Note that [ - (-8x) ] = 8x

So the equation may be written as [ x + 8x = x + 7 ] .

Add up the 'x's on the left side: 9x = x + 7

Subtract 'x' from each side: 8x = 7

Divide each side by 8 : x = 7/8

A road crew must repave a road that is 3/5 miles long. They can repave 1/15 miles each hour. How long will it take the crew to repave the road?

Answers

The Total number of hours required to repave the whole road is 36.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

The Total length of the road that needs to be repaved = 3/5 miles

The Total length of the road which is repaved by the road crew per hour = 3/5 miles

The Total number of hours required to repave the whole road

= (Length of the road to be repaved)/(Length of the road repaved by the crew per hour)

= 3/4 divided by 1/48

= 3/4*48/1= 144/4

= 36

Hence, The Total number of hours required to repave the whole road is 36.

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Answer: 36 hours

Step-by-step explanation: Plz mark me brainlest

3/4 divided by 1/48

KCF

3/4*48/1= 144/4= 36

Assuming that $g(x) = (1)/(3) f(x) \: and \: h(x) = - g(x) + 4$
fill in the following table.

Answers

The value of the functions g(-6) is 6, g(0) is 5, g(7) is 8, h(-6) is 2, h(0) is 9 and h(7) is 12.

x -6 0 7

f(x) -18 15 24

g(x) 6 5 8

h(x) 2 9 12

g(-6) = 6 because g(x) = 1/3 f(x) and f(-6) = -18.

g(0) = 5 because g(x) = 1/3 f(x) and f(0) = 15.

g(7) = 8 because g(x) = 1/3 f(x) and f(7) = 24.

h(-6) = 2 because h(x) = -g(x) + 4 and g(-6) = 6.

h(0) = 9 because h(x) = -g(x) + 4 and g(0) = 5.

h(7) = 12 because h(x) = -g(x) + 4 and g(7) = 8.

Please note that these are just the values of g(x) and h(x) at the specific points given in the table. To find the values of g(x) and h(x) for other values of x, you can use the given formulas.

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A football is kicked toward the goal. The height of the ball is modeled by the function h(t) = -16t2 + 64t where t equals the time in seconds and h(x) represents the height of the ball at time t seconds. What is the axis of symmetry and what does it represent? t = 2; it takes 2 seconds to reach the maximum height and 2 seconds to fall back to the ground
t = 2; it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground
t = 4; it takes 4 seconds to reach the maximum height and 4 seconds to fall back to the ground
t = 4; it takes 4 seconds to reach the maximum height and 8 seconds to fall back to the ground

Answers

h(t) = -16(t^2) + 64t

roots:

0 = -16t^2 + 64t
0 = t^2 - 4t
0 = t(t-4)
t=0 and t =4

The symmetry axis is at the middle of the two roots: t = (0+4)/2

That time (t=2) is what it takes the object to reach the maximum height.

Answer: t = 2; it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground

Answer: B/ it takes 2 seconds to reach the maximum height and 4 seconds to fall back to the ground

Step-by-step explanation:

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