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2 years ago

The annual average temperature of a location depends in part on its distance from the equator. The latitude at the

Mathematics

1 answer:

olasank [31]2 years ago

4 0

The meaning of the constant is the average temperature at the equator statement (A) is correct.

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

We have a line of best fit for the data:

y = 90 - z

Here, x is measured in degrees of latitude and y is measured in degrees of Fahrenheit.

When z = 0

y = 90

Which shows the average temperature at the equator.

Thus, the meaning of the constant is the average temperature at the equator statement (A) is correct.

Learn more about the line of best fit here:

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Natalie can send or receive a text message for $0.15 or get an unlimited number for $5. Write and solve the inequality to find h

Zielflug [23.3K]

$33\frac{1}{3}$ number of messages she can send and receive so the unlimited plan is cheaper than paying for each message

<em><u>Solution:</u></em>

Natalie can send or receive a text message for $0.15

Natalie can get an unlimited number for $5

To find: Number of messages she can send and receive so the unlimited plan is cheaper than paying for each message

Let "x" be the number of messages

Cost for sending and receiving message = $ 0.15

Cost for unlimited plan = $ 5

Then, according to given, we frame a inequality as:

The condition is: unlimited plan is cheaper than paying for each message

Therefore,

(number of messages)(Cost for sending and receiving message) is greater than or equal to Cost for unlimited plan

$x \times 0.15\geq 5\\\\0.15x\geq 5\\\\\text{Solve for "x" }\\\\\text{Divide both sides of equation by 0.15 }\\\\\frac{0.15x}{0.15}\geq \frac{5}{0.15}\\\\x\geq 33.33\\\\x\geq 33\frac{1}{3}$

Thus for $33\frac{1}{3}$ messages ,the unlimited plan is cheaper than paying for each message

5 0

3 years ago

Two computers working together can finish a search in 30 seconds. One of these computers can finish in 50 seconds. How long woul

Natalka [10]

Let x be the first computer. Let y be the first computer. We know that Work = 1 / Time.

If the work together, work can be done in 30 seconds. Thus, we have:
1/x + 1/y = 1/30

If x will finish in 50 seconds, we need to compute how many seconds y can finish the same work. Thus solving for y, we have the equation below:
1/50 + 1/y = 1/30
1/y = 1/30 - 1/50
1/y = 1/75

The second computer can finish the same work in 75 seconds.

3 0

3 years ago

What 89,659 rounded to the nearest hundred thousand

lisov135 [29]

100,000

Since 8 rounds up to 10, it will go up to 100,000.

5 0

3 years ago

For a two-day rental at the surf shop, it costs $45 to rent a surf board and $60 to rent a paddle board. On a certain weekend, t

Vaselesa [24]

X = surf boards, y = paddle boards

x + y = 44......x = 44 - y
45x + 60y = 2265

45(44 - y) + 60y = 2265
1980 - 45y + 60y = 2265
-45y + 60y = 2265 - 1980
15y = 285
y = 285/15
y = 19 <=== there were 19 paddle boards rented

x + y = 44
x + 19 = 44
x = 44 - 19
x = 25......and 25 surf boards rented

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3 years ago

The board of examiners that administers the real estate brokerʹs examination in a certain state found that the mean score on the

romanna [79]

Answer:

adminsitration

Step-by-step explanation:

sdf

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3 years ago