1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tankabanditka [31]
2 years ago
13

The outside temperature can be estimated based on how fast crickets chirp. At 104 chirps per minute, the temperature is 63 degre

eree F At 176 chirps per minute, the temperature is 81 degreeree F. Using this information you can make a formula that relates chirp rate to temperature. Assume the relationship is linear, that is, the points form a straight line when plotted on a graph. What is the temperature if you hear 124 chirps per minute? What is the temperature if you hear 68 chirps per minute?
Mathematics
1 answer:
Rasek [7]2 years ago
6 0

Answer:

For 124 chirps per minute the temperature is 68 ºF.

For 68 chirps per minute the temperature is 54 ºF.

Step-by-step explanation:

Linear functions are those whose graph is a straight line. A linear function has the following form

f(x)=b+mx

b is the constant term or the y intercept. It is the value of the dependent variable when x = 0.

m is the coefficient of the independent variable. It is also known as the slope and gives the rate of change of the dependent variable.

We know that

  • At 104 chirps per minute, the temperature is 63 ºF.
  • At 176 chirps per minute, the temperature is 81 ºF.

This information can be converted to Cartesian coordinates (x, y). Where x = the number of chirps per minute and  y = the temperature in ºF.

To find a linear function that let us find the outside temperature from how fast crickets chirp we must:

  • Find the slope:

m=\frac{y_2-y_1}{x_2-x_1}=\frac{81-63}{176-104}=\frac{1}{4}

  • Find the equation:

81=\frac{1}{4}\cdot 104+b

Solving for b

b=81-\frac{1}{4} (176)=37

Therefore, the linear function is

y=\frac{1}{4} \cdot x+37

Now, using this linear function we can know the temperature when we know the chirps per minute:

For 124 chirps per minute the temperature is:

y=\frac{1}{4} \cdot (124)+37=68

For 68 chirps per minute the temperature is:

y=\frac{1}{4} \cdot (68)+37=54

You might be interested in
What is 15ft by 18ft times 2in depth converted into yards
NeTakaya

Answer:

5 yd³

Step-by-step explanation:

2 in = 1/6 ft

15 ft  ×  18 ft  ×  1/6 ft = 45 ft³

1 ft³ = 9 yd³

45 ft³/9 = 5 yd³

4 0
3 years ago
What is the answer x+5>23
olga2289 [7]
18<x is the answer you are looking for. Glad to help.
3 0
3 years ago
The students in a class were each asked to name their favorite meal of the day. Which table could be represented by percentage b
sineoko [7]

Answer:

G

Step-by-step explanation:

I say G because when you look at the bar, the maximum is 100% and G is 20 in total. Therefore, the maximums are the same types and both can be divided by 10.

7 0
3 years ago
Read 2 more answers
Someone please help asap.. what even is this. ill give brainliest
jasenka [17]

<u>Congruency</u> property relates to two or more <em>triangles</em> with similar <em>dimensions</em>, and internal<u> angles</u>. So that the required <u>statements</u> to complete the proof are:

1. <em>definition</em> of a <u>straight</u> angle.

2. <u>subtraction</u> property of equality

3. <em>corresponding</em> sides of <u>similar</u> triangles are <u>proportional</u>

4.<u> transitive</u> property of <em>equality</em>.

The <u>intersection</u> of two or more lines forms a number of <em>angles</em> which depends on the <u>number</u> of lines involved. These <u>angles</u> formed may have <em>similar</em> or<em> different </em>properties.

When two or more <u>triangles</u> have <em>similar</em> lengths of <u>sides</u> and measure internal <u>angles</u>, it can be said that they are congruent. Thus they have some <u>common</u> properties.

Therefore, the appropriate <u>statements</u> to answer the given <em>question </em>are stated below:

  • <em>Definition</em> of a <u>straight</u> angle.
  • <u>Subtraction</u> property of equality.
  • <em>Corresponding</em> sides of <u>similar</u> triangles are <u>proportional.</u>
  • <u>Transitive</u> property of <em>equality</em>.

For more clarifications on the properties of congruent triangles, visit: brainly.com/question/15835221

#SPJ1

6 0
1 year ago
HURRY PLEASEEEEE I RLLY NEED THIS
ira [324]

Answer:table 1 would be y=x-3 and table 2 is y=x-5

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Martha has 3 cards but she wants more.if she makes 5 cards an hour, how many cards will she have after 6 hours?
    7·2 answers
  • (x6 y3)(5xy2)(−7x5)<br><br> I need the answer<br> pleasseee
    7·2 answers
  • Three times a number is subtracted from another number and the difference is 3. The sum of the two numbers is 31. What is the sm
    10·1 answer
  • What is the slope of a line that passes through the points (-1,4) and (0,2)
    9·1 answer
  • How do u show where a inqulity is true on a number line.<br><br> I forgot
    5·1 answer
  • How much will Kasey pay in Medicare if she makes $42,300 next year? $613.35 $2,678.40 $3,291.75 $4,320.00
    8·1 answer
  • The choices are the same for both.
    13·2 answers
  • DUE IN 20 MINS
    15·2 answers
  • I need help with this question
    11·1 answer
  • Nom nom nom nom<br> ,<br> .<br> .<br> .<br> .
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!