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azamat
3 years ago
11

An amusement park has two themed resorts, Stargazer Suites and Retro Retreat. The graph and table below display the cost of the

stay, y, for different numbers of nights, x, for the two different resorts.
Which statement correctly compares the nightly rates at Stargazer Suites and Retro Retreat?
Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer:

The nightly rate at Stargazer Suites is $25 more than the nightly rate at Retro Retreat.

Step-by-step explanation:

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P(x)-x^4-3x^2+kx where k is an unknown integer.
timurjin [86]

Answer:4

Step-by-step explanation:

P(2)

(2)

4

−3(2)

2

+k(2)−2

16−3⋅4+2k−2

2+2k

2k

k

​

=10

=10

=10

=10

=8

=4

​

5 0
4 years ago
In the triangle below,<br> y = [ ? ] cm. Round to the<br> nearest tenth.
sattari [20]

Answer:

The answer is

<h2>12.3 cm</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use trigonometric ratios to find y

To find y we use cosine

cos∅ = adjacent / hypotenuse

From the question

y is the adjacent

The hypotenuse is 15

So we have

\cos(35)  =  \frac{y}{15}  \\ y = 15 \cos( 35 )  \\ y = 12.28728

We have the final answer as

<h3>12.3 cm to the nearest tenth</h3>

Hope this helps you

7 0
3 years ago
• William Shakespeare died on his birthday at
saveliy_v [14]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The vertices of a triangle ABC are A(7, 5), B(4, 2), and C(9, 2). What is measure of angle ABC? 30° 45° 56.31° 78.69°
GenaCL600 [577]

The measure of angle ABC is 45°

<em><u>Explanation</u></em>

Vertices of the triangle are:   A(7, 5), B(4, 2), and C(9, 2)

According to the diagram below....

Length of the side BC (a) =\sqrt{(4-9)^2+(2-2)^2}= \sqrt{25}= 5

Length of the side AC (b) = \sqrt{(7-9)^2 +(5-2)^2}= \sqrt{4+9}=\sqrt{13}

Length of the side AB (c) = \sqrt{(7-4)^2 +(5-2)^2} =\sqrt{9+9}=\sqrt{18}

We need to find ∠ABC or ∠B . So using <u>Cosine rule</u>, we will get...

cosB= \frac{a^2+c^2-b^2}{2ac} \\ \\ cos B= \frac{(5)^2+(\sqrt{18})^2-(\sqrt{13})^2}{2*5*\sqrt{18} }\\ \\ cosB= \frac{25+18-13}{10\sqrt{18}} =\frac{30}{10\sqrt{18}}=\frac{3}{\sqrt{18}}\\ \\ cosB=\frac{3}{3\sqrt{2}} =\frac{1}{\sqrt{2}}\\ \\ B= cos^-^1(\frac{1}{\sqrt{2}})= 45 degree

So, the measure of angle ABC is 45°

7 0
4 years ago
Read 2 more answers
Why is 12 * 10-8 is NOT a correct representation of scientific notation?
sattari [20]

Answer:

see below

Step-by-step explanation:

Scientific notation is a * 10 ^b

a must be a number between 1 ( including 1 ) and less than 10

12 is greater than 10 so it is not scientific notation

3 0
3 years ago
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