compare the fraction 3/5 to 1/2

Answer:

Option 2: [tex]y - 2 = \frac{1}{3}(x-3)[/tex] is the correct answer.

Step-by-step explanation:

The equation of a line with given point(x1,y1) and slope m is given by:

[tex]y-y_1 = m(x-x_1)[/tex]

The line passes through (x1,y1)

Given

[tex](x_1,y_1) = (3,2)\\m = \frac{1}{3}[/tex]

=> x1 = 3

=> y1 = 2

Putting the values of x1, y1 and slope(m) in the point-slope form, the equation of line is:

[tex]y - 2 = \frac{1}{3}(x-3)[/tex]

Hence,

Option 2: [tex]y - 2 = \frac{1}{3}(x-3)[/tex] is the correct answer.

Answer:

About 2.08 Uranus years is equal to 175 Earth years

Step-by-step explanation:

1     = ?

84     175

175/84 = 2.08

Number of Uranus years are equal to 175 Earth years is 2.08 years.

Given that, The length of 1 year on Uranus is a little more than 84 years on Earth.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the number of years be x

1 : 84 :: x : 175

⇒ 1/84 = x/175

⇒ 84x=175

⇒ x=175/84

⇒ x=2.08 years

Therefore, number of Uranus years are equal to 175 Earth years is 2.08 years.

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Answer:

the answer will be 12 bc all you do is divided 6.6 =11

Step-by-step explanation:

The scientific notation for the given width will be [tex]3*10^{6}[/tex].

A method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy.

Given that, The Kuiper Belt is estimated to be about 3,000,000

meters wide.

3,000,000 = 3x1000,000

=  [tex]3*10^{6}[/tex].

Hence, The scientific notation for the given width will be [tex]3*10^{6}[/tex].

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Answer: B

Step-by-step explanation:

To find the result of the dilation, multiply each x and y coordinate by the scale factor, which in this case, is 1.5. I started out with the coordinate P, which had an original coordinate of (-2,1). In this case, I multiplied -2 by 1.5, and 1 by 1.5 to get (-3, 1.5). Since this is multiple choice, the only one with P as (-3, 1.5) is B, so we don't have to check the others.

The answer is B.

1) Apply dilation

2)Find each one x coordinate (x,y)

3) Find the y coordinate for each one

4) See which one matches your answers

Hope this helps!

Answer:

Well in six hours it'll be -12

Step-by-step explanation:

Answer:

Yeah im sure you wont get 3 heads for all coins it would usually be like 1 tails, 2 tails or 3 tails :/?

Step-by-step explanation:

Answer:

rate of current=1 mph

Step-by-step explanation:

Answer:

Answer is Option 2

Step-by-step explanation:

Triangles equal to 180 degrees in total. So it is 55+54+x+74=180

The simplified version that I just wrote is Option 2

Answer: 8

Step-by-step explanation:

12 bran muffins in 1 Cup so for 2/3 it is

2/3*12 = 8

Answer:

240

Step-by-step explanation:

According to law of exponential growth,

[tex]y=y_0e^{kt}[/tex]

Here, [tex]y_0[/tex] denotes the initial amount and k is the rate constant of the equation.

Now, the initial population is 240 bacteria.

Put [tex]y_0=240[/tex]

So,

[tex]y=240e^{kt}[/tex]

The population after 12 hours is double the population after 1 hour.

[tex]y(12)=2y(1)[/tex]

[tex]240e^{12k}=240e^{k} \\e^{12k}=e^{k} \\e^{12k-k}=1\\e^{11k}=1\\11k=log 1=0\\k=0[/tex]

(Formulae used: [tex]\frac{e^x}{e^y}=e^{x-y}\,,\,log 1=0[/tex])

So,

[tex]y=240e^{0}=240\\y=240[/tex]

Therefore,

Number of bacteria after 3 hours = 240

Answer:

1. 3. 6.

Step-by-step explanation:

Answer:

There is exactly one output for each input.

The graph of a linear function is a straight line.

A linear function has a constant rate of change.

Step-by-step explanation:

Answer:

ya if you do 3 a day

Step-by-step explanation:

Answer:

yes it is enough time you would have to do 25 assignments aweek

Step-by-step explanation:

Answer:

1 and 2 are the elements of (A B)

Answer:

x = 2.4

Step-by-step explanation:

Simplify.

24 - 4x + 4 = 6x + 2 - 6

Combine like terms (24 + 4 = 28, sorry for the confusion!)

28 - 4x = 6x - 4

Add x and add 4 to both sides.

10x = 32

x = 3.2

Answer:

x=3 1/5 or 3.2

Step-by-step explanation:

Answer:

Mean: 1096 megabytes

Standard deviation: 215 megabytes

Step-by-step explanation:

I got the answer on Khan Academy

Answer:

230,776 is your answer

Answer:

Step-by-step explanation:

230,776

Answer:

87   39/1000

Step-by-step explanation:

Answer:

  100

Step-by-step explanation:

Yw btw LOL!        Ik this answer is probs wrong LOL              

Answer:13,0

Step-by-step explanation:

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points. The coordinates of point (8,−2) after translation will be (13,2) and (13,4).

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

The coordinates of a point (x,y) can be translated by right 5 units and up 2 units as,

Now, the given coordinate (8, -2) can be translated as shown below,

Hence, the coordinates of point (8,−2) after translation will be (13,2) and (13,4).

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Answer:

At the end of the 100th turn, you have 90 plates placed normally.

Step-by-step explanation:

Not sure if there is a formula to calculate this.  I plugged the data into a spreadsheet and created formulas to turn every plate, every 2nd plate, every 3rd, .... to every 100th plate.

Answer: 7.0

Step-by-step explanation:

sergio must ride 7.5 miles in 1/4 hour to achieve this target speed so  he needs to ride  an addititonal 9.8 mile per1/4 hour

Answer:

30 mph

Step-by-step explanation:

since it is 1/4  you would multply 7.5 times 4, which adds up to 30.

Answer:

what is the question?

Step-by-step explanation:

The value of the function f(4) is 11.

We have,

To find the value of f(4) for the given function f(x) = 2x + 3,

We substitute x = 4 into the function.

f(4) = 2(4) + 3

= 8 + 3

= 11

We can also see that,

4 is the input and 11 is the output of the function.

Therefore,

The value of the function f(4) is 11.

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The complete question:

Consider the function f(x) = 2x + 3. Determine the value of f(4).

a) 7

b) 8

c) 9

d) 10

Answer:

Juke's jump; by 0.35 feet

Step-by-step explanation:

Given that,

Cooper's jump rope is for [tex]4\dfrac{2}{5}[/tex] feet.

Juke's jump rope is [tex]4\dfrac{3}{4}[/tex] feet.

Cooper's jump is :

[tex]4\dfrac{2}{5}=\dfrac{22}{5}\ \text{feet}\\\\=4.4\ \text{feet}[/tex]

Juke's jump is

[tex]4\dfrac{3}{4}=\dfrac{19}{4}\\\\=4.75\ \text{feet}[/tex]

So, it is clear that Juke's jump is longer than Cooper's jump.

Juke's jump - Cooper's jump = 4.75 - 4.4

= 0.35 feet

or

So, Juke's jump is 375 feet longer.

The expression that gives you a value of 3 times larger than (820 + 220) are:

3(820 + 220)

2460 + 660

Options A and C are the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(820 + 220)

= 1040

Now,

3 x 1040

= 3120

Now,

A)

3(820 + 220)

= 3 x 1040

= 3120

B)

3(820) + 2(220)

= 2460 + 440

= 2900

C)

2460 + 660

= 3120

D)

820 x 220 x 3

= 541200

Thus,

3(820 + 220) and 2460 + 660 give the value of 3 times larger than

(820 + 220).

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Answer:

See explanation below

Step-by-step explanation:

Recall the identity for the cosine of an addition of angles:

[tex]cos(\theta+\gamma)= cos(\theta)*cos(\gamma)- sin(\theta)*sin(\gamma)[/tex]

and that for a subtraction of angles:

[tex]cos(\theta-\gamma)= cos(\theta)*cos(\gamma)+sin(\theta)*sin(\gamma)[/tex]

Now, use the property of addition of angles above to write :

[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

but since :  [tex]\frac{A+B}{2} +\frac{A-B}{2}= A[/tex]

Then the cosine of addition of angles above can be written as:

[tex]cos(\frac{A+B}{2} +\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(A)=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

We do something similar now with the cosine of the subtraction of angles:

[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

and we notice that: [tex]\frac{A+B}{2} -\frac{A-B}{2}= B[/tex]

Then the cosine of subtraction of angles above can be written as:

[tex]cos(\frac{A+B}{2} -\frac{A-B}{2} )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )[/tex]

and finally, we add term by term the expressions we got for cos (A) and for cos(B) and notice that the terms that contain the sine functions cancel each other because they have opposite signs, while the terms in cosine add up to double themselves:

[tex]cos(A )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )+sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\+\\cos(B )=cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )-sin(\frac{A+B}{2} )*sin(\frac{A-B}{2} )\\=\\cos(A) +cos(B)=2\,cos(\frac{A+B}{2} )*cos(\frac{A-B}{2} )[/tex]

which is what we wanted to prove.

Answer:

C. 33

Step-by-step explanation:

Answer:

1.  direct=hot, indirect=cool

2. wind systems

3. differences in air pressure

first diagram: density increases, pressure increases, tempature decreases

second diagram: temp. increases, density decreases, pressure decreases

Step-by-step explanation:

hope this helps