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ddd [48]
3 years ago
6

Evelyn has a first name, 2 middle names, and a last name. In how many different ways could Evelyn arrange the initials of her na

me?
Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

Answer:

4! = 4×3×2×1= 24

in 24 different ways

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Find the quotient −40÷20.
sukhopar [10]

Answer:

-2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
One eight of tony's books are mystery books. He has 3 mystery books. How many books does Tony have in all.
miv72 [106K]
<em><u>Tony has 24 books in total</u></em>
4 0
3 years ago
Please help me!!
ipn [44]

{\color{chartreuse}{Measure\:of\: ∠\:on\: one\: side\:of\:line\:=\:180°}}

∠ Given are (x + 18)° , x° , 4x° and one Angle is 90° as per diagram

Let ,

1st∠ = (x + 18)°

2nd∠ = x°

3rd∠ = 4x°

so ,

⟶\:(x \:+\: 18)°\:+\:x°\:+\: 4x°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:18°\:+\:90°\:=\:180°

⟶\:6x°\:+ \:108°\:=\:180°

⟶\:6x°\:=\:180°\:-\:108°

⟶\:6x\:=\:72°

⟶\:x\:=\:\frac{72}{6} \\

⟶\:x\:=\:12°

substituting x = 12 at the place of x .

= x° + 18°

= 12° + 18 °

1st∠ = 30°

__________________________________

= x°

2nd∠ = 12°

__________________________________

= 4x°

= 4(12)°

3rd∠ = 48°

7 0
3 years ago
An alrcraft factory manufactures airplane engines. The unit cost C (the cost in dollars to make each airplane engine) depends on
rewona [7]

C(x) should be ;

C(x)=0.9x² - 306x +36,001

Answer:

$9991

Step-by-step explanation:

Given :

C(x)=0.9x^2 - 306x +36,001

To obtain minimum cost :

Cost is minimum when, C'(x) = 0

C'(x) = 2(0.9x) - 306 = 0

C'(x) = 1.8x - 306 = 0

1.8x - 306 = 0

1.8x = 306

x = 306 / 1.8

x = 170

Hence, put x = 170 in C(x)=0.9x²- 306x +36,001 to obtain the

C(170) = 0.9(170^2) - 306(170) + 36001

C(170) = 26010 - 52020 + 36001

= 9991

Minimum unit cost = 9991

5 0
3 years ago
The volume of a cylinder can be expressed as V=πr2h, where r is the radius, and h is the height of the cylinder.
olga_2 [115]

<em>Note: You missed to add the answer choices, so I am solving the overall procedure to determine the radius of the cylinder so that you could easily figure out the right choice.</em>

Answer:

The radius of the cylinder:

  • r\:=\:\sqrt{\frac{v}{\pi \:h}}

Step-by-step explanation:

The volume of a cylinder is represented by the formula

V=πr²h

here

  • r is the radius
  • h is the height

The radius of the cylinder can be computed using the formula of the volume of a cylinder

V = πr²h

r² = V / πh

Taking square roots

r\:=\:\sqrt{\frac{v}{\pi \:h}}

Thus, the formula of the radius of the cylinder.

r\:=\:\sqrt{\frac{v}{\pi \:h}}

Therefore, the radius of the cylinder:

  • r\:=\:\sqrt{\frac{v}{\pi \:h}}
7 0
3 years ago
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