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netineya [11]
3 years ago
7

The cost of a hotel room during Nigel's trip is $180. The hotel room tax in the city he is in is 11.5%. What is the total cost o

f the hotel room? Round to the nearest cent if necessary.
Mathematics
1 answer:
kumpel [21]3 years ago
6 0

Answer:

Step by Step:

multiply the cost by the percentage.

Then add the cost to the answer

Answer:200.70

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One of Shakespeare's sonnets has a verb in 11 of its 18 lines, an adjective in 13 lines, and both in 8 lines. How many lines hav
horrorfan [7]

Answer:

Step-by-step explanation:

The total number of lines, n(U) = 18

Let the number of lins with verb be n(V) = 11

Let the number of lines with adjectives be n(A) = 13

n(V n A) = 8

Find the number of lines that have a verb but no adjective, that is, n(V n A')

Mathematically, according to sets theory,

n(V) = n(V n A) + n(V n A')

So,

n(V n A') = n(V) - n(V n A) = 11 - 8 = 3.

Hence, only 3 lines have a verb but no adjectives.

4 0
3 years ago
The volume of a cubical box is 474.552m3.Find the length of each side of the box
Cerrena [4.2K]

The formula of a volume of a cube:

V=a^3

We have V=474.552\ m^3

Substitute:

a^3=474.552\to a=\sqrt[3]{474.552}\\\\a=7.8\ m

Answer: The length of each side of the box is equal 7.8 m.

8 0
3 years ago
1. Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial i
Katena32 [7]
Polynomial with real coefficients always has even number of complex roots. We know that one of them is 2 + 5i so the second one will be  2 - 5i and:

f(x)=\big(x-4\big)\big(x-(-8)\big)\big(x-(2+5i)\big)\big(x-(2-5i)\big)=\\\\=(x-4)(x+8)(x-2-5i)(x-2+5i)=\\\\=(x^2-4x+8x-32)(x^2-2x+5ix-2x+4-10i-5ix+10i-25i^2)\\\\=\big(x^2+4x-32\big)\big(x^2-4x+4-25\cdot(-1)\big)=\\\\=(x^2+4x-32)(x^2-4x+29)=\\\\=x^4-4x^3+29x^2+4x^3-16x^2+116x-32x^2+128x-928=\\\\=\boxed{x^4-19x^2+244x-928}

Answer B.
8 0
3 years ago
Read 2 more answers
Which glide reflection describes the mapping triangle ABC triangleDEF?
ZanzabumX [31]
In order to visualize the transformations, we must execute the transformation in the options

The first transformation would shift triangle ABC 3 units to the left and reflect it across x = 4. This will not map ABC unto DEF.

The second transformation would shift triangle ABC 7 units down and reflect it across x =4. This will map ABC unto DEF,

So, the answer is the second option.
5 0
3 years ago
A soda company produces 12 oz cans of soda. The mean volume is 12 oz with a
Lena [83]

Answer:

456

Step-by-step explanation:

11.5 oz would be 2 standard deviations below the mean... z -score = -2    = .0228 (from Z-Score table)

     22.8%   of 2000 = 456

7 0
1 year ago
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