it takes adrian 12 min to swim 4 laps.How many hours will it take him to swim 50 laps?

Answer:I would recommend a saving account .

Step-by-step explanation: Put a certain amount of money in evrey couple weeks or so and do not take any out

Answer:

B. Reflected over the y-axis and rotated 180°

Step-by-step explanation:

A(-4, 2) Reflected over the y-axis (x, y) → (-x, y) → A'(4, 2)

A'(4, 2) → rotated 180° (x, y) → (-x, -y) → A"(-4, -2)

The set of transformations that can be applied to ABCD, to create A″B″C″D″ is a reflection over the y-axis, followed by a rotation of 180°

"It is the production of the image of a figure through two or more transformation."

"It is a geometric transformation where all the points of an object are reflected on the line of reflection."

"It is a transformation in which the object is rotated about a fixed point."

For given question,

The rectangle ABCD is formed by ordered pairs A at (-4, 2) , B at (-4, 1), C at (-1, 1), D at (-1, 2)

The rectangle A″B″C″D″ is formed by ordered pairs A" at (-4, -2), B" at   (-4, -1), C" at (-1, -1) , D" at (-1, -2)

We can observe that the coordinates of ABCD are of the form (-x, y)  where x, and y, are positive numbers

The form of the ordered pair of the vertices of the A″B″C″D″ is (-x, -y)

The coordinates of the point (-x, y) after reflection over y-axis would be of the form (x, y)

And after rotation of 180° the coordinates would be (-x -y)

Therefore, the set of transformations that can be applied to ABCD, to create A″B″C″D″ is a reflection over the y-axis, followed by a rotation of 180°

Learn more about geometric transformations here:

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Answer:

1700π in³/s

Step-by-step explanation:

Volume of a cone is expressed as

V = 1/3πr²h

Given

dr/dt = 5in/s

dh/dt = 3in/s

radius r = 50in

h = 20in

Required

dV/dt = ?

dV/dt = dV/dr * dr/dt + dV/dh*dh/dt

dV/dr = 1/3πh (5) + 1/3πr²(2)

dV/dt = 1/3π(20)(5)+1/3 π(50)²(2)

dV/dt =  100π/3 + 5000π/3

dV/dt = 5100π/3

dV/dt = 1700π in³/s

Answer:

cvvvvvvvvvvvvvvgfjgf

Step-by-step explanation:

cxvvvvvvvvvvvvvv

Answer:

6.48074069 …

Step-by-step explanation:

if you are asked to simplify the radical, then it is already in its simplest form and cannot be simplified further.

If you are asked to solve for the answer, then a simple calculator entry will give us √42 = 6.481 (nearest thousandths)

Answer:he sum of a lists of numbers is 624 and the mean is 52. How many numbers are in the set? Get the answers you need, now!

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Answer:

Great job.

Step-by-step explanation:

Answer:

x ≥ _

Step-by-step explanation:

I can't see the numbers, however the number under the closed dot would be the number to insert there. Leave x alone.

Answer:

7/2

Step-by-step explanation:

Answer:

3 1/2 or 7/2

Step-by-step explanation:

To divide fractions, you keep change flip, so you would get to 7/9*9/2 or 63/18. You can divide both of these numbers by 3 to get 21/6, which you can divide by 3 again to get 7/2

Answer:x=58/6^

Step-by-step explanation:

Answer:

[tex]\frac{75}{1}+15e^-\cdot \:0.4x=25\quad :\quad x=-\frac{25}{3};\quad \ne \mathrm{True},\:e\ne \:0\quad \left(\mathrm{Decimal}:\quad x=-8.33333\dots \right)[/tex]

Step-by-step explanation:

[tex]\frac{75}{1}+15e^-\cdot \:0.4x=25[/tex]

[tex]\mathrm{Apply\:rule}\:\frac{a}{1}=a[/tex]

[tex]\frac{75}{1}=75[/tex]

[tex]75+15\cdot \:0.4e^-x=25[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:15\cdot \:0.4=6[/tex]

[tex]75+6e^-x=25[/tex]

[tex]\mathrm{Subtract\:}75\mathrm{\:from\:both\:sides}[/tex]

[tex]75+6e^-x-75=25-75[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]6e^-x=-50[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}6e^-;\quad \ne \mathrm{True}[/tex]

[tex]\frac{6e^-x}{6e^-}=\frac{-50}{6e^-};\quad \ne \mathrm{True}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]e^{ }x=-\frac{25}{3e^-};\quad \ne \mathrm{True}[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}e;\quad \ne \mathrm{True},\:e\ne \:0[/tex]

[tex]\frac{e^{ }x}{e}=\frac{-\frac{25}{3e^-}}{e};\quad \ne \mathrm{True},\:e\ne \:0[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]\frac{x}{e}=-\frac{25}{3e^1};\quad \ne \mathrm{True},\:e\ne \:0[/tex]

[tex]\mathrm{Multiply\:both\:sides\:by\:}e[/tex]

[tex]\frac{xe}{e}=\left(-\frac{25}{3e^1}\right)e;\quad \ne \mathrm{True},\:e\ne \:0[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x=-\frac{25}{3};\quad \ne \mathrm{True},\:e\ne \:0[/tex]

Answer:

oof i don't know if that's possible

maybe try emailing them

Step-by-step explanation:

Answer:

what?

Step-by-step explanation:

Answer:

36, 29 and 13

Step-by-step explanation:

Let 'a' be the longest side.

Let 'b' be the middle side.

Let 'c' be the smallest side.

From the question given above,

The perimeter of a triangular garden is 78 feet. This can be written as:

Perimeter = a + b + c

78 = a + b + c ...... (1)

The middle length side is 3 feet greater than twice the length of the smallest​ side. This can be written as follow:

b = 2c + 3 ...... (2)

The longest side is 3 feet less than 3 times the length of the smallest side. This can be written as follow:

a = 3c – 3 ..... (3)

Summary:

78 = a + b + c ...... (1)

b = 2c + 3 ...... (2)

a = 3c – 3 ..... (3)

Substitute the value of a in equation

3 and the value of b in equation 2 into equation 1

78 = a + b + c

b = 2c + 3

a = 3c – 3

78 = (3c – 3) + (2c + 3) + c

78 = 3c – 3 + 2c + 3 + c

78 = 3c + 2c + c – 3 + 3

78 = 6c

Divide both side by 6

c = 78/6

c = 13

Substitute the value of c into equation 2 and 3 to obtain the value of b and a respectively

b = 2c + 3

c = 13

b = 2(13) + 3

b = 26 + 3

b = 29

a = 3c – 3

c = 13

a = 3(13) – 3

a = 39 – 3

a = 36

Therefore, the length of the three sides are: 36, 29 and 13

Answer:

It will take Wilson 50 minutes to paint this bookcase.

Step-by-step explanation:

40%=20 minutes

10%=5 minutes

100%=50 minutes

Hope this helped! :)

Answer:

0.01

Step-by-step explanation:

On khan

Answer:

a)M5=40º

b)M2=140º

c)M2 and M5 are supplementary angles

d)M2 and M5 are same side interior angles

e) A||B

Step-by-step explanation:

Remember that same side interior angles are the angles that are located on the same side of a straight line that cuts through two parallel lines, and these angles are supplementary, meaning that the sum of both of them will always be 180º. So by stating that M5 and M2 add up to 180º and they are on the same side of a straight line cutting through two straight lines we can prove that those two lines are parallel.

Answer:

1/125

Step-by-step explanation:

Negative exponents don't make the number negative, it means that you divide the number by itself. So 1/(5×5×5) which is 1/125.

Answer:

the last one - 1/125

Step-by-step explanation:

Answer:

x=20

Step-by-step explanation:

Complementary means =90 degrees, so with that being said, you need to write the equation as follows:

2x+10+x+20=90

Then add like terms:

3x+30=90

Subtract 30 from both sides (30 and 90)

3x=60

Divide both sides by 3

x=20

I hope this helps!!

Answer:

C

Step-by-step explanation:

The square root of 155 equals 12.449.. which means its less than 13 but more than 12.

Answer:

Ones

Step-by-step explanation:

The last digit will always be the ones place no matter what.

Answer:

ONES

Step-by-step explanation:

Answer:

x=y-16

x=1 then y=44

x=2 y=28

x=3 y=12

x=3 y=-4

x=5 y=-20

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

[tex]4\left(x-2\right)-3=9[/tex]

[tex]\mathrm{Add\:}3\mathrm{\:to\:both\:sides}[/tex]

[tex]4\left(x-2\right)-3+3=9+3[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]4\left(x-2\right)=12[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]

[tex]\frac{4\left(x-2\right)}{4}=\frac{12}{4}[/tex]

[tex]Simplify[/tex]

[tex]x-2=3[/tex]

[tex]\mathrm{Add\:}2\mathrm{\:to\:both\:sides}[/tex]

[tex]x-2+2=3+2[/tex]

[tex]Simplify[/tex]

[tex]x=5[/tex]

Answer:

The number of license plates that can be made is 1,757,600

Step-by-step explanation:

Here, we want to calculate the number of possible license plates

We do not have any restrictions here.

the number of digits is 0-9 making 10

Alphabets A-Z making 26

For two letters, one digit , one letter , one digit

1st letter

Number of choices is 26

second letter 26 too

1st digit 10 choices

third letter = 26 choices

last digit = 10 choices

Total number of choices will be;

26 * 26 * 10 * 26 * 10 = 1,757,600

Answer:

y = -3/4x+1/2

Step-by-step explanation:

Answer:

All explained below.

Step-by-step explanation:

The sources of errors are;

1) Instrumental Errors: This could be as a result of wrong calibration of equipment.

2) Observational Systematic errors: An example of this is parallax error while taking a reading.

3) Environmental random errors: In this type of error, a slight change in the temperature of humidity in the lot could possibly affect the accuracy of the measurement.

4) Observational random errors: This refers to errors gotten when the values are incorrectly read or incorrectly interpolated.

5) Environmental systematic errors: An example of this is that the current supplied to the instrument taking the reading may be low. Thus, this may affect effective reading.

6) Theoretical systematic errors: This could arise from over simplification of the experimental model. An example of this is that the experiment might require a totally frictionless surface which may not be achievable. And this will lead to wrong measurement.

Minimizing the errors:

1) Instrumental Errors can be minimized by ensuring proper calibration of equipment before use.

2)Observational Systematic errors can be minimized by ensuring readings are not taken at an angle.

3)Environmental random errors could be minimized by carrying out the experiment in a relatively good laboratory under fair weather conditions.

4)Observational random errors can be minimized by ensuring that the results from the readings are properly collated and the rightly interpolated as the case may be.

5)Environmental systematic errors can be minimized by ensuring stable power source to the instrument being used for the reading.

6)Theoretical systematic errors could be minimized by taking an average of at least 3 tests result to get a fair representation of the final result.