How far will Tyrique’s robot travel after the wheels have made one full revolution?

Answer:

[tex]\frac{1}{200}[/tex]

Step-by-step explanation:

Find the derivative of the function when x=3

[tex]y=\sqrt{2(x-1)}[/tex]

[tex]\frac{dy}{dx}=\frac{1}{\sqrt{2(x-1)}}[/tex]

[tex]\frac{dy}{dx}=\frac{1}{\sqrt{2(3-1)}}[/tex]

[tex]\frac{dy}{dx}=\frac{1}{\sqrt{2(2)}}[/tex]

[tex]\frac{dy}{dx}=\frac{1}{\sqrt{4}}[/tex]

[tex]\frac{dy}{dx}=\frac{1}{2}[/tex]

Since the change in the value of the function is [tex]dy[/tex] and we know that the change in x is [tex]dx=0.01[/tex], then we have:

[tex]\frac{dy}{dx}=\frac{1}{2}[/tex]

[tex]dy=\frac{1}{2}dx[/tex]

[tex]dy=\frac{1}{2}(0.01)[/tex]

[tex]dy=\frac{1}{200}[/tex]

Therefore, the 2nd option is correct

Answer:

(2, -4.5)

Step-by-step explanation:

Used midpoint formula

Answer:

12/82 or 6/41

Step-by-step explanation:

Answer:

im sorry what?

Step-by-step explanation:

i

The length of the instrument storage closet will be 15ft

Given the dimension of Mr. Miller’s band room is 50 ft wide and 75 ft long. In order to get an instrument storage closet that has the same proportions of length and width but is smaller, we can multiply the width and the length by a scale factor.

Using the scale factor of 1/5, the new dimension will be expressed as:

Hence the length of the instrument storage closet will be 15ft

Learn more on dimension here: https://brainly.com/question/19819849

Answer:

1. y= 3x+1

2. y= -4x+1

3. y=x-10

Step-by-step explanation:

Answer:

Type I error

Step-by-step explanation:

A type I error is a false positive, which is when a researcher rejects a null hypothesis when it is, in fact, true

A type II error is a false negative, which is when a researcher fails to reject a null hypothesis and accepts it when it is, in fact, false.

Answer:

The number of chicken and cows should be 19 and 11.

Step-by-step explanation:

The number of chicken and cows should be 19 and 11.

Given that,

The farm has 30 chickens and cows, and there are 82 chicken and cow legs all together.

Let x represent the number of chickens in the farm.

Let y represent the number of cows in the farm.

Based on the above information, the calculation is as follows:

x + y = 30

Since a chicken has 2 legs and a cow has 4 legs.

So,  

2x + 4y = 82 - - - - - - - - - - - - 1

Now  

Substituting x = 30 - y into equation 1, it becomes

2(30 - y) + 4y = 82

60 - 2y + 4y = 82

- 2y + 4y = 82 - 60

2y = 22

y = 11

Now

x = 30 - 11

= 19

Answer:

the awnser is b

Step-by-step explanation:its b because it x2

Answer:

104 laps

Step-by-step explanation:

3/10 converted to a decimal is .3 (30%), and since it says he swan MORE then that we can assume they mean 80 + 30% more.

In order to get that we multiple 80*1.3 in order to get 104 laps

Answer:

Yes, they are similar triangles

Step-by-step explanation:

If you make a proportion using vertical side/horizontal side

[tex]\frac{4}{10} =\frac{12}{30} \\[/tex]

If you multiply 4/10 by 3/3 you will get 12/30, so the triangles are similar.

32=16x2=2x2x2x2x2=2^5

48=24*2=6x4x2=2x3x2x2x2

Pick the highest number that occurs. In this case it is 2. Now we have to see how many times it appears in both. It appears 5 times in 32 and 4 times in 48. 4 is the highest number of times it appears in the numbers so:

2^4=2x2x2x2=16

The Greatest Common Factor (GCF) of 32 and 48 is 16.

Answer:

See below

Step-by-step explanation:

[tex]2x+5=9\\2x=4\\x=2[/tex]

[tex]\frac{3}{2}x+1=10\\\\\frac{3}{2}x=9\\ \\3x=18\\\\x=6[/tex]

[tex]0.1x-0.2=0.8\\0.1x=1\\x=10[/tex]

Answer:

A, C

Step-by-step explanation:

Answer:

A and  C

Step-by-step explanation:

[tex]\dfrac{60}{100}*56=33.6\\\\\\[/tex]

A)

1% of 56 = 0.01*56 = 0.56

0.56*60 = 33.6

C) 10% of 56 = 0.1*56 = 5.6

5.6*6 = 33.6

Answer:

A = 139.5 in²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 9 , b₁ = 12 and b₂ = 2 + 12 + 5 = 19 , then

A = [tex]\frac{1}{2}[/tex] × 9 × (12 + 19) = 4.5 × 31 = 139.5 in²

Answer:

[tex]Solution,\\Circumference=5\pi m\\Diameter(d)=5\pi /\pi =5m\\Radius(r)=5m/2=2.5m\\Now,\\Area=\pi r^{2} \\Area=\pi *(2.5m)^{2} \\Area=\pi *6.25m^{2} \\Area=6.25\pi m^{2}[/tex]

Step-by-step explanation:

Answer:

$23

Step-by-step explanation:

50 + 19 is 69, and since Justin wants to divide the money into 3 parts. Just divide the total (69) by 3, to get 23. So, Justin will put $23 into the three of the accounts.

======================================================

Explanation:

We have this given info

Let's apply the law of sines to find angle A

sin(A)/a = sin(C)/c

sin(A)/5 = sin(40)/6

sin(A) = 5*sin(40)/6

sin(A) = 0.535656

A = [tex]\sin^{-1}[/tex](0.535656) or A = 180-[tex]\sin^{-1}[/tex](0.535656)

A = 32.388411 or A = 147.611589

There are two possibilities here we need to check.

If you were to try A = 147.611589 along with C = 40, then A+B+C = 180 solves to B = -7.6116 approximately. This isn't valid because the angles cannot be negative. So we rule out the case that A = 147.611589

If we tried A = 32.388411 and C = 40, then we'd get B = 107.611589 which is a valid angle.

------------------

The last step is to use the SAS triangle area formula to get...

area = 0.5*side1*side2*sin(angle)

area = 0.5*a*c*sin(B)

area = 0.5*5*6*sin(107.611589)

area = 14.296942

This rounds to 14.3 when rounding to 3 significant figures.

Answer:

60

Step-by-step explanation:

Ok. first you want to determine the size of each side. 5 x 9 = 45 gets you the rectangle. You already have the tricky part, which is getting the width of the triangle. Now what you do is add  2.5 + 2.5 + 5 for the length, then you can do simple math and say 2.5 + 2.5 + 5 = 10

10 x 3 = length x width = 30, but since it's a triangle divide it by 2 and you'd get 15.

Now all you do is add them together and you get 60

Answer:

48t + 60

Step-by-step explanation:

hope this helps!!

Based on the 5 trials, 1 carton of eggs is expected to contain at least one broken egg, on average

From the question, we understand that only one of the first 10 double-digit numbers is between 01 and 08

This means that:

The average carton or the expected value of eggs in the simulation is 1

Hence, 1 carton of eggs is expected to contain at least one broken egg, on average

Read more about expected values at:

https://brainly.com/question/15858152

Answer:

  c = 29, A = 48°, B = 54°

Step-by-step explanation:

The unknown side is c. Using the last Law of Cosines formula, we find it to be ...

  c² = a² +b² -2ab·cos(C)

  c² = 22² +24² -2(22)(24)cos(78°) ≈ 840.445

  c ≈ √840.445 ≈ 29 . . . . . rounded to integer

__

The angle at B can be found using the Law of Sines. We want the angle in the numerator, so we can write the equation as ...

  sin(B)/b = sin(C)/c

  B = arcsin(b/c·sin(C)) ≈ arcsin(24/28.9904×sin(78°))

  B ≈ 54°

The remaining angle can be found using the sum of angles of a triangle:

  A +B +C = 180°

  A = 180° -B -C = 180° -54° -78° = 48°

The solution to the triangle is ...

  c = 29, A = 48°, B = 54°

Total members = 25

Number of males = 11

So, required ratio = 11/25