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4 years ago

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

2 answers:

7 0

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

Hence Euler's number is between $\sqrt{7}$ and $\sqrt{8}$ .

kotykmax [81]4 years ago

4 0

Between the square roots of 7 and 8

e^2 = 7.38 roughly

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A supply company manufactures copy machines. The unit cost C (the cost in dollars to make each copy machine) depends on the numb

sergij07 [2.7K]

Answer: $\$18,629$

Step-by-step explanation:

Given

The unit cost is given by

$C(x)=0.6x^2-168x+30,389$

find the derivative of the unit cost and equate it to zero to obtain the minimum value

$C'(x)=0.6\times 2x-168\\\Rightarrow 0.6\times 2x-168=0\\\Rightarrow 1.2x=168\\\\\Rightarrow x=\dfrac{168}{1.2}\\\\\Rightarrow x=140$

Substitute 140 for $x$ in the cost function, we get

$C(140)=0.6[140]^2-168(140)+30,389\\C(140)=11,760-23,520+30,389\\C(140)=\$18,629$

7 0

3 years ago

ABC and EBF are a pair of vertical angles; mABC = 3x + 8 and mEBF = 2x + 48. What are mABC and mEBF?

natita [175]

Vertical angles are angles opposite to each other when two lines cross.
what's interesting is that vertical angles are equal.

Based on this:
angle ABC = angle EBF
3x + 8 = 2x + 48
x = 40

measure angle ABC=measure angle EBF =
3(40)+8 = 128 degrees

3 0

3 years ago

Triangles are similar Find the value of x.<br>Please i need help Thank you in advanced

lisov135 [29]

28 1/3

Step-by-step explanation:

The scale factor is 5/3

Multiply 17 by 5/3.

28 1/3

7 0

3 years ago

Read 2 more answers

Aaden is 1.75 meters tall. At 11 a.m., he measures the length of a tree's shadow to be 37.65 meters. He stands 32.9 meters away

Ratling [72]

The relationship between Aaden and the tree's height is an illustration of equivalent ratio

The height of the tree is 2.00 meters

At 11 a.m, we have:

$\mathbf{Aaden = 1.75m}$

$\mathbf{Tree\ Shadow = 37.65m}$

$\mathbf{Aaden\ Shadow = 32.9m}$

So, we make use of the following equivalent ratio

$\mathbf{Aaden : Tree = Aaden\ Shadow : Tree\ Shadow}$

This gives

$\mathbf{1.75: Tree = 32.9: 37.65}$

Express as fractions

$\mathbf{\frac{Tree}{1.75} = \frac{37.65}{32.9}}$

Multiply both sides by 1.75

$\mathbf{Tree = \frac{37.65}{32.9} \times 1.75}$

$\mathbf{Tree = 2.00}$

Hence, the height of the tree is 2.00 meters

Read more about equivalent ratios at:

brainly.com/question/18441891

8 0

3 years ago

HELP ME WITH THESE TWO PLEASE PLEASE ILL GIVE BRAINLIEST

faltersainse [42]

Answer:

1. C. 28/54

2. A. 5/22

Step-by-step explanation:

1. Simplify each fraction to see which of the four are equal to 4/9.

2. Convert each to a decimal to see which is between 2/11 and 3/11.

6 0

4 years ago

Read 2 more answers