Entomologists are biological scientists who study insects. Entomologists studying tree crickets have found that they chirp at different rates depending on the temperature. The number of chirps per minute, C , that the tree cricket makes is linearly dependent on the temperature, T , in Fahrenheit. The crickets do not chirp at all if the temperature is 40 degrees and at 60 degrees they chirp about 92 times per minute.

A) Express the number of chirps, C , as a function of the temperature, T . Use function notation, and round decimals to one decimal place.

B) How many chirps per minute will crickets make at 75 degrees?

Answer:

y = x/60

Step-by-step explanation:

y = kx

k = y / x = 10/600 = 1/60

y = x/60

[tex]y[/tex] is directly proportional to [tex]x[/tex] when [tex]x=600[/tex] and [tex]y=10[/tex] then the formula for [tex]y[/tex] in terms of [tex]x[/tex] is given  as  [tex]y=\frac{1}{60} x[/tex] .

We say that, [tex]y[/tex] and [tex]x[/tex] are directly proportional, if  [tex]\frac{y}{x} =k[/tex]  or [tex]y=kx[/tex].

So,

According to the question;

[tex]x=600[/tex]

[tex]y=10[/tex]

From the above statement;

[tex]\frac{10}{600} =k[/tex]

[tex]k = \frac{1}{60}[/tex] ,

So,

[tex]y[/tex] in terms of [tex]x[/tex] is given by,

[tex]y=\frac{1}{60} x[/tex]

Hence, we can say that [tex]y[/tex] is directly proportional to [tex]x[/tex] when [tex]x=600[/tex] and [tex]y=10[/tex] then the formula for [tex]y[/tex] in terms of [tex]x[/tex] is given  as  [tex]y=\frac{1}{60} x[/tex] .

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Answer:

Step-by-step explanation:

If you read through the bottom paragraph, you see it concludes with, "the equations describe the same line." This means the system has infinite solutions, because the two lines intersect everywhere.

__

The rest of the solution is described in the paragraph. Starting with the rearranged form

  -ax +ay +9a = 0

"subtract 9a from both sides" means you now have ...

  -ax +ay +9a -9a = 0 -9a

or

  -ax +ay = -9a . . . . . . . . "-9" goes in the first box

__

Now, dividing by -a gives you ...

  (-ax)/(-a) +(ay)/(-a) + (-9a)/(-a)

  x - y = 9 . . . . . . . . . . . . "9" goes in the second box, confirmed by the following statement that the equations (this, and x - y = 9) "describe the same line".

Answer:

2.09, 2.59, 2.9

Step-by-step explanation:

Answer:

2.09, 2.59, 2.9

Step-by-step explanation:

hope this helps have a wonderful day

Answer:

3.60$

Step-by-step explanation:

if we bought 3 pens that would equal 1.20$ so we add 1.20$ to 2.40$ we get 3.60$

Answer:

11  because 10x2=20 and the 220 divided by 20 =11

Step-by-step explanation:

Let the speed of the train going from Boston to New York = X

Let the distance from Boston to when the trains meet = Y

The distance to New York when they meet would be 220 - Y

The Boston to New York train would be: Y = (2X-10)*2

New York to Boston train would be : 220 -Y = 2X

Using substitution:

220-(2X-10)*2 = 2X

Simplify the left side:

220 - 4X+20 = 2X

Add 4x to both sides and combine like terms:

240 = 6X

Divide both sides by 6:

x = 40

Now find distance from Boston by replacing x with 40"

Y = (2(40)-10)*2

Y = 160 -20

Y = 140 miles

Answer:

A

Step-by-step explanation:

Lids

It is not clear how many lids the cylinder has or perhaps it is a solid. I'll say it has 2 lids.

The surface area of one lid = pi * r^2

r = 4

The surface area of one lid is pi*4^2 =16 pi

The surface area of two lids is 32*pi

Body

Length of the body = pi * d

Length of the body = 8 * pi cm

Height of the body = 18 cm

Area = l*h

Area = 8pi * 18 cm

Area = 144 pi

Total

Total Area = 32 pi + 144pi

Area = 176 pi cm^2

Answer:

[tex] Range =1.41-0.66 = 0.75[/tex]

[tex] \bar X = 1.171 W/Kg[/tex]

[tex] s^2 = 0.0607[/tex]

And taking the square root we got the sample deviation:

[tex] s = \sqrt{0.0607}= 0.246 W/kg[/tex]

Step-by-step explanation:

For this case we have the following datset given:

0.83 1.39 1.39 1.03 0.66 1.26 1.39 1.18 1.41 1.19 1.15

We need to find the range, and the range is defined by:

[tex] Range = Max -Min[/tex]

And replacinng we got:

[tex] Range =1.41-0.66 = 0.75[/tex]

Then we can find the sample variance, but firt we need to find the sample mean with this formula:

[tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

And replacing we got:

[tex] \bar X = 1.171 W/Kg[/tex]

Now we can find the sample variance with this formula:

[tex] s^2 = \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}[/tex]

And replacing we got:

[tex] s^2 = 0.0607[/tex]

And taking the square root we got the sample deviation:

[tex] s = \sqrt{0.0607}= 0.246 W/kg[/tex]

Answer:

43.125

Step-by-step explanation:

From trigonometry;

Tan87.4 =height of monument / 25

Height of monument = 25 * Tan 87.4

= 25 * 1.525

=38.125 ft

There is an extra substention of 5ft we add that

38.125 + 5 = 43.125 ft

Answer:

The answer is 4

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

A correlation coefficient a numerical measure of change of two variables, but it is often a sample from a data set. Considering there is no change between our x and y variables that align in our change, the correlation coefficient I thought it would be is 0, but answering C.4 got an 100% on the Edge Test.

Answer:

  A:  y= -4/3x+120

Step-by-step explanation:

The blue line on the plot has a y-intercept of +120, matching choices A and B only.

The line has a negative slope, matching choice A. If you count grid squares, you find the slope is -40/30 = -4/3, also matching choice A.

Answer:

 A:  y= -4/3x+120

Answer:

  32.5% sugar

Step-by-step explanation:

You want to know the sugar concentration in the mix of two 250-mL cans of soft drink, one of which is 20% sugar, and the other of which is 45% sugar.

The fraction of sugar in the mix is the weighted average of the fractions in the contributors. The weights are the volumes. Since the volumes are equal, the weights are equal, so the fraction in the final mix is simply the average of the two fractions:

  (20% +45%)/2 = 65%/2 = 32.5%

The sugar concentration of the mixed soft drink is 32.5%.

Answer:

The sister is 20

Step-by-step explanation:

The sister is 4 years younger than the girl.

Answer:

1/20 of a gallon

Step-by-step explanation:

If she divides 1/4 into 5 glasses, the answer would be 0.05, or 1/20 gallons, if its right please give 5 stars

Answer: 50 cups of coffee

Step-by-step explanation:

Let x represent the number of cups of coffee that it will take for the cost at Dunkin Donuts to be the same as having a Keurig and k-cups.

He orders a coffee from Dunkin Donuts and it costs him $3.50 everyday. It means that the cost of ordering x cups would be 3.5x.

The Keurig is $150 and each k-cup costs $0.50. It means that the cost of ordering x cups would be 150 + 0.5x.

For the ordering cost to be the same, it means that

3.5x = 150 + 0.5x

3.5x - 0.5x = 150

3x = 150

x = 150/3

x = 50

Answer:

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Answer:

0.04

Step-by-step explanation:

Standard deviations== square root of variance define as spread.

Standard deviations square = variance

[0.2]^2= 0.04

Answer:

3  ≥ x

Step-by-step explanation:

-24 ≤x-3-8x

Combine like terms

-24 ≤-3-7x

Add 3 to each side

-24+3≤-3+3-7x

-21 ≤-7x

Divide by -7, remembering to flip the inequality

-21 /-7 ≥ -7x/-7

3  ≥ x

k=2

Step-by-step explanation:

since all the base are 10 you use the powers to solve it.

so it would be -3+1+k=-3=-3

Answer:

k = -1

Step-by-step explanation:

I did the test, good luck! :)

Answer:

Step-by-step explanation:

If you don't consider how the wood might be cut, or how the tray might be assembled, you can look only at the area requirements.

A tray that is 10.5 inches square will have an area of ...

  (10.5 in)^2 = 110.25 in^2

That base will have a perimeter that is 4×10.5 in = 42 in. If the perimeter piece(s) are 2 inches high, the area of the sides of the tray will be ...

  (42 in)(2 in) = 84 in^2

Then the total area of wood required for the proposed tray is ...

  110.25 in^2 +84 in^2 = 194.25 in^2

__

The area of the wood Stephan has is ...

  A = LW = (18 in)(12 in) = 216 in^2 . . . . . . more than required

__

Stephan does have enough wood to make the tray, because he has 216 square inches, which is more than he needs to make the tray, 194.25 square inches.

Answer:1/4

Step-by-step explanation:

Answer:

10 and 5

Step-by-step explanation:

Answer:

ZYX- CBA

Step-by-step explanation:

ZYX is backwards

so cba needs to be too

Answer:

ZYX-CBA

Step-by-step explanation:

welcome

Answer:

30

Step-by-step explanation:

If these two shapes are similar, then ratios of corresponding sides will stay constant. Therefore:

[tex]\dfrac{g}{45}=\dfrac{50}{75}[/tex]

Multiply both sides by 45:

[tex]g=\dfrac{50\cdot 45}{75}=30[/tex]

Hope this helps!

Answer:

-3 please brainliest me PLease i expain it too

Step-by-step explanation:

Let's put the equation into point slope for 

-3y < -2x + 12

Divide by -3

y < 2/3x - 4

The answer is the first one because the shades are pointing down.

y < -3 means the shade points down y because y is less than -3

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The inequality 2x – 3y <12 and y < –3 is shown in the third graph.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The inequalities are:

2x -3y ≤ 12

y < -3

First, for the second inequality, we can see that y must be strictly less than -3, so we should see a dotted line at y = 3, and a shaded section under that line.

From this, we can discard the second graph (the middle one).

The first inequality can be rewritten as:

2x - 3y ≤ 12

-3y ≤ 12 - 2x

Now we divide by -3 into both sides, as we are dividing by a negative number, the direction of the ≤ sign changes:

y ≥ (12/-3) + (-2/-3)x = -4 + (2/3)*x

This means that the shaded section must be above the line:

y = -4 + (2/3)*x

Therefore, the inequality 2x – 3y <12 and y < –3 is shown in the third graph.

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Phil would need to save for at least 6 weeks to have enough money to buy the bike.

Phil saves one-quarter of his pay each week, which is:

1/4 x £240 = £60

Let's assume it takes him n weeks to save enough to buy the bike. Then, the amount he saves in n weeks is:

n x £60 = £349

We can solve for n by dividing both sides by £60:

n = £349 / £60

n ≈ 5.82

Since we can't have a fraction of a week, Phil would need to save for 6 weeks to have enough money to buy the bike.

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Answer:

Family. Family is what you make of it in Heart of a Samurai.

Language and Communication.

Principles.

Art and Culture.

Identity.

Change.

Society and Class.

Step-by-step explanation:

Hope this helps:)

Answer:

Several ways, take the diameter and divide it by half.

Take the circumference "C" and r = C/2π

Step-by-step explanation:

Answer:

B

Step-by-step explanation: