Fruit flies, like almost all other living organisms, have built-in circadian rhythms that keep time even in the absence of external stimuli. Several genes have been shown to be involved in internal timekeeping, including per (period) and tim (timeless). Mutations in these two genes, and in other genes, disrupt timekeeping abilities. Interestingly, these genes have also been shown to be involved in other time-related behavior, such as the frequency of wingbeats in male courtship behaviors. Individuals that carry particular mutations of per and tim have been shown to copulate for longer than individuals that have neither mutation. But do these two mutations affect copulation time in similar ways? The following table summarizes some data on the duration of copulation for flies that carry either the tim mutation or the per mutation (Beaver and Giebultowicz 2004).

Mutation Mean copulation duration (min) Standard deviation of copulation duration Sample size, n
per 17.5 3.37 14
tim 19.9 2.47 17

Assume that the copulation time data are normally distributed. Do tim and per mutations lead to different mean copulation durations? Determine the absolute value of the test statistic for the appropriate test.

Answer:

$52.71

Step-by-step explanation:

Today's price= $58.63

Yesterday's price= y

Difference= $5.92

y+5.92 = 58.63

y = 58.63 - 5.92

= $52.71

Answer: 22

Step-by-step explanation:

2r - 7 = r + 15

2r - r = 15 + 7

2r = 22

r = 22/2

r = 11

Answer:

The greatest common factor of 24, 36, and 50 is 2.

Step-by-step explanation:

Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Factors of 50 are 1, 2, 5, 10, 25, 50

Therefore the GCF is 2.

We can see that 2 is the only common factor, hence the greatest common factor of 24, 36, and 50 is 2

For us to get the greatest common factor of 24, 36, and 50, we need to get their individual factor first as shown:

24 = 2 * 12

36 = 2 * 18

50 = 2 * 25

From all the factors, we can see that 2 is the only common factor, hence the greatest common factor of 24, 36, and 50 is 2

Learn more: https://brainly.com/question/219464

Answer:

5x = 3x

4+8t-y=y-t+8

98/r=34t

Step-by-step explanation:

hope this helps!

mark me brainliest plz!

Answer:

30.7

Step-by-step explanation:

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf (w+4)(3w-2)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf w(3w-2)+4 (3w-2)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3w^2-2w+12w-8[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3w^2+10w-8 [/tex]

Answer:

I am too young for this type of math, but I suggest you try M-a-t-h w-a-y

Answer:

z > 4

Step-by-step explanation:

- 2z - 3 < 5

- 2z < 5 + 3

- 2z < 8

z > - 4

Answer:

z > -4

Step-by-step explanation:

Please see the following attachment for step by step

Answer: No

Step-by-step explanation:

The c kind of cut off, but you can use slopes to figure it out. The rule for a perpendicular slope is the opposite reciprocal. Assuming that C is the right angle, since right triangles typically work that way, we can figure out the slopes for ac and bc. The slopes are not reciprocals:

AC= -5/2

BC=  -1/3

This isn't a right triangle because the lines are not perpendicular.

Answer:

angle b=36

Step-by-step explanation:

angle b = 90-54=36 (given b+54+90)

Answer: zoe ran 24 miles

Answer:

Step-by-step explanation:

The sides of a parallelogram are equal. If O is the midpoint of its diagonal AC, them AO+OC = AC

Given

AO = 4x + 12 and

OC = 5x – 6

Required

AC

AC = 4x+12 + 5x-6

AC = 4x+5x+12-6

AC = 9x+6

Hence the length of AC is 9x+6

Answer:

C) -4,4,-6

Step-by-step explanation:

domain is x so plug the domain numbers into the function

4-2(-4)=12

4-2(0)=4

4-2(5)=-6

Therefore Range is (-4,4,-6)

Answer:

B

Step-by-step explanation:

Any value of x would make the equation true.

Answer:

Irrational: √2 = 1.4

Step-by-step explanation:

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope:  

1

y-intercept:  ( 0 , 0 ) x y 0 0 1 1

Answer:

[tex]f(x)=4x^2[/tex]

Step-by-step explanation:

Quadratic Model

The quadratic function can be expressed in the form:

[tex]f(x)=ax^2+bx+c[/tex]

Where a,b, and c are constants to be determined using the points through which the function passes.

We have the points (-2,16) (0,0) (1,4). To find the values of a,b,c we just substitute the values of x and y and solve the system of equations.

Point (0,0):

[tex]f(0)=a*0^2+b*0+c=0[/tex]

It follows that

c=0

Point (-2,16):

[tex]f(0)=a*(-2)^2+b*(-2)+c=16[/tex]

Operating:

[tex]a*(4)+b*(-2)+c=16[/tex]

Since c=0:

[tex]4a-2b=16[/tex]

Divide by 2:

[tex]2a-b=8\qquad\qquad [1][/tex]

Point (1,4):

[tex]f(1)=a*(1)^2+b*(1)+c=4[/tex]

[tex]a*(1)+b*(1)+c=4[/tex]

Since c=0:

[tex]a+b=4\qquad\qquad [2][/tex]

Adding [1] + [2]:

2a+a=12

3a=12

a=12/3=4

a=4

From [2]

b=4-a

b=4-4=0

b=0

The model is:

[tex]\boxed{f(x)=4x^2}[/tex]

Answer:

Yes

Step-by-step explanation:

Because for every 8 feet of the original rectangles, it will be 3 feet on the scale model, therefore it is reducing.

Answer:

Elias is not correct, A scale factor of 8/3 is an enlargement because it is greater than 1.

A reduction has a scale factor between

0 and 1.

(Verified answer)

Answer: x-12

Step-by-step explanation:

Simplify.

x

−

1

0

−

6

+

4

x−10−6+4

2 Collect like terms.

x

+

(

−

1

0

−

6

+

4

)

x+(−10−6+4)

3 Simplify.

x

−

1

2

x−12

Answer:

y = 1/4

Step-by-step explanation:

y⁻⁴ = 256

(1/y)⁴ = 256

y⁴ = 1/256

y =  ⁴√1/256

y = 1/4

Thus, The value of y is 1/4

-TheUnknownScientist

Answer:

numbers:letters

5:4 (numbers:letters form)

Step-by-step explanation:

There are 5 numbers in the password and 4 letters

Hopefully this helps :)

Answer:

length=4

Width=2×4-3=5

Step-by-step explanation:

Let length =X

Width =2x-3

Perimeter=18

2(length+width)=18

2(X+2x-3)=18

3x-3=9

3x=12

X=12/3

X=4

So length=4

Width=2×4-3=5

Answer:

[tex] \huge{ \boxed{ \bold{ \sf{Length \: = \: 4 \: cm}}}}[/tex]

[tex] \huge{ \boxed{ \bold{ \sf{Width = 5 \: cm}}}}[/tex]

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☯ Question :

☯ Step - by - step explanation :

✒ First, Let length of a rectangle be ' L '.

✑ Given :

☞ Finding value of length of a rectangle :

[tex] \boxed{ \sf{Perimeter \: of \: a \: rectangle = 2(L + W)}}[/tex]

Plug the values and solve for L

➺ [tex] \sf{18 = 2(L+ 2L - 3)}[/tex]

➺ [tex] \sf{18 = 2(3L - 3)}[/tex] { Add : 2L and L )

➺ [tex] \sf{18 = 6L - 6}[/tex] { Distribute 2 through the parentheses )

➺ [tex] \sf{6L - 6 = 18}[/tex] { Swipe the sides of the equation }

➺ [tex] \sf{6L = 18 + 6}[/tex] { Move 6 to right hand side and change it's sign )

➺ [tex] \sf{6L = 24}[/tex] { Add the numbers : 18 and 6 }

➺ [tex] \sf{ \frac{6L}{6} = \frac{24}{6}} [/tex] { Divide both sides by 6 }

➺ [tex] \boxed{ \sf{length \: ( \: L\: ) \: = \: 4 \: cm}}[/tex]

☞ Now , Evaluating 2L - 3 when L = 4 cm in order to find the value of width of a rectangle : [tex] \sf{2l - 3}[/tex]

➺ [tex] \sf{2 \times 4 - 3}[/tex] { Plug the value of length }

➺ [tex] \sf{8 - 3}[/tex] { Multiply 2 by 4 }

➺ [tex] \boxed{ \sf{Width \: ( \: W \: ) \: = \: 5 \: cm}}[/tex]

Hence ,

Hope I helped!

Have a wonderful day! ツ

~TheAnimeGirl ♡

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Answer:

bababoeybababoey

Step-by-step explanation:

Answer: STUPID

Step-by-step explanation:

9514 1404 393

Answer:

  (D)  (170 -4x)°

Step-by-step explanation:

Angles 1 and 5 are corresponding, so are congruent. Angle 6 forms a linear pair with angle 5, so is its supplement. That is, angle 6 is the supplement of angle 1:

  ∠6 = 180° -(4x +1)° = (180 -1)° -4x°

  ∠6 = (179 -4x)° . . . . matches choice D

Answer:

x=15 cm

Step-by-step explanation:

The two triangles in the diagram are:

ABC and BDC

First we have to find the third side (hypotenuse) of BDC so that we can use it to find the value of x.

Hypotenuse is the largest side of a triangle which is usually in front of the right angle.

So in BDC

[tex]Base = BD =10cm\\Hypotenuse = BC = ?\\Perpendicular = CD = 2\sqrt{11}cm[/tex]

Applying Pythagoras theorem:

[tex](Hypotenuse)^2 = (Base)^2 + (Perpendicular)^2\\BC^2 = BD^2 + CD^2\\BC^2 = (10)^2 + (2\sqrt{11})^2\\BC^2 = 100+(2^2 * 11)\\BC^2 = 100+(4*11)\\BC^2 = 100+44\\BC^2 = 144\\\sqrt{BC^2} = \sqrt{144}\\BC = 12cm[/tex]

Solving for triangle ABC

[tex]Base = BC = 12 cm\\Perpendicular = AB = 9 cm\\Hypotenuse = AC = x\\[/tex]

Applying Pythagoras theorem

[tex]AC^2 = BC^2+AB^2\\x^2 = (12)^2 + (9)^2\\x^2 = 144+81\\x^2 = 225\\\sqrt{x^2} = \sqrt{225}\\x = 15cm[/tex]

Hence,

x=15 cm

Answer:

1.445 × 10³

Step-by-step explanation:

Standard form is a way of writing a small number or a large number easily.

We should give the final answer in standard form.

1) (1.7 × 10⁴) × (8.5 × 10⁻²)

We enter this directly into the calculator to obtain a solution.

= 1445

We write this in standard form we have :

1.445 × 10³

Answer:

1.445 × 10³ hope it helped goodluck!