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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.

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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How are the coordinates of the extreme value and the equation from part B in the form y=(x-h)^2-c related.

True [87]

The extreme value of y = (x - h)² - c is the vertex of the equation.

<h3>What are extreme values of a function?</h3>

The extreme values of a function are either the maximum or minimum values of the function.

<h3>The equation of a parabola in vertex form</h3>

The equation of a parabola in vertex form with vertex (h', k) is given by

y = a(x - h')² + k and its extreme values are

if a > 0 (h', k) is a minimum point and
if a < 0 (h', k) is a maximum point.

Since y = (x - h)² - c is the equation of a parabola in vertex form, comparing with y = a(x - h')² + k,

h = h'
-c = k and
a = 1.

So, the cooordinates of the vertex of y = (x - h)² - c is (h, -c).

Now, since a = 1 > 0, (h, -c) is a minimum point.

So, the extreme value of y = (x - h)² - c is the vertex of the equation.

Learn more about extreme value of a function here:

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4 0

2 years ago

In right ∆LMN, sin M = 0.759. What is cos N? A. 0.121 B. 0.241 C. 0.349 D. 0.651 E. 0.759

Hatshy [7]

Answer:

E. 0.759

Step-by-step explanation:

You can take this right triangle to have a base length side LM , height of LN and a hypotenuse of MN

The sine of angle ∠LMN is 0.759, find the value of ∠LMN

$sin^-1(0.759)=49.38$

∠LMN=49.38°

Find angle ∠LNM

You know sum of angles in a triangle add up to 180°, given that this is a right-triangle, the base angle is 90° hence

∠LNM=180°-(90°+49.38°)

∠LNM= 180°-139.38°=40.62°

Find cos 40.62°

Cos 40.62°=0.7590

6 0

4 years ago

aleksandr82 [10.1K]

Answer:

x=67

y=40

The angles equal 63 and 117

Step-by-step explanation:

88% sure

5 0

3 years ago

Can someone help me please

zavuch27 [327]

Answer:

C

$\: \\ diameter = 4ft \\ \: raduis \: = \frac{diameter}{2} \\ raduis = \frac{4ft}{2} = 2ft \\ c = 2\pi \: r \\ c = 2\pi2ft \\ c = 4\pi \: ft \\ c = 4 \times 3.14 = 12.56ft$

8 0

2 years ago

The answer to the problem i asked

guapka [62]

8(4x+5)=136
Multiply the number outside of the parenthesis(8) with the numbers inside the parenthesis(4x and 5).
32x+40=136
Subtract 40 from both sides
32x=96
Divide both sides by 32 so the only thing remaining on the side of the variable is only the variable itself.
Final Answer: x= 3

8 0

3 years ago