1) Which two ratios form a proportion?

A) 1: 3 and 6: 3
B) 1: 3 and 3:6
C) 3: 1 and 9: 3
D) 3: 1 and 3:9

The time it will take to roll from the top of the ramp to the bottom by the ball when acceleration of it a = 2 ft/s2, is 4 seconds.

The equation of motion is the relation between the distance, velocity, acceleration and time of a moving body.

The equation which gives the distance d of an object starting at rest travels given acceleration a and time t is,

[tex]d = \dfrac{1}{2}at^2[/tex]

Suppose a ball rolls down the ramp shown at the right with acceleration a = 2 ft/s2. The ramp is 12 feet long. Thus, the distance travel by ball to roll from the top of the ramp to the bottom is 12 feet. Thus, we have,

[tex]a=2\rm\; ft/s^2\\d=12\rm\; feet[/tex]

Put the values in the above equation,

[tex]d = \dfrac{1}{2}at^2\\12 = \dfrac{1}{2}(2)t^2\\t^2=12\\t=\sqrt{12}\\t=3.46\\t=\approx 4\rm\; s[/tex]

Thus, the time it will take to roll from the top of the ramp to the bottom by the ball when acceleration of it a = 2 ft/s2, is 4 seconds.

Learn more about the equation of motion here;

https://brainly.com/question/13763238

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pic po please please please please

Step-by-step explanation:

To find the volume of triangular pyramid we are given two parameters that is base area of pyramid and height which is required,

Volume of pyramid given by:-

V = 1/3*bh

V = 1/3*12*8

V = 4*8

V = 32cm³

Hence the volume of triangular pyramid is 32cm³

Answer:

no it is not

Step-by-step explanation:

No.  Because  right angled triangles all sides are equal.

Answer:

10n² + 3n + 7

Step-by-step explanation:

2A - 3B = 2.( -1 + 5n² + 9) - 3.(3 - n)

= -2 + 10n² + 18 - (9 - 3n)

= 10n² + 16 -9 + 3n

= 10n² + 3n +7

Answer:

30.5

Step-by-step explanation:

Let L = the larger number

Let S = the smaller number

L + S = 144

L - S = 73

L = S + 73

S + S + 73 = 144

2S = 71

S = 30.5

Answer:

2

Step-by-step explanation:

After placing the 2 as the coefficient all of the atoms for their respective elements will be balanced.

Answer:

Step-by-step explanation:

Answer:

1. d 2. A 3. c

Answer:

so let's start

Step-by-step explanation:

[tex]total \: sales = 412454 \\ 7\% = \frac{7}{100} \\ = 0.07 \\ 0.07 \: is \: rate \: of \: commision \: on \: total \: sales \\ 0.07 \times 412454 = 28871.78 \: dollars \\ but \: 5\% \: is \: given \: as \: percentage \: of \: the \: amount \: from \: 7\% \: commission \\ 5\% = \frac{5 }{100} \\ = 0.05 \\ 0.05 \times 28871.78 = 1443.589 \: dollars \: \\ total \: income \: = 28871.78 + 1443.586 \\ = 30.315.369 \: dollars \\ \\ thanks[/tex]

Answer:

114

Step-by-step explanation:

1.14 x 10²

pls mark me as brailiest if it is correct and learn well

Answer:

[tex]36^6[/tex] postcodes

Step-by-step explanation:

Think of the post code as a combination lock

[?] [?] [?] [?] [?] [?]

If letters a numbers are allowed, each character can be A-Z and 0-9.

There are 26 letters, and 10 different digits

26 + 10 = 36 characters

Each block (I illustrated above) can be any of the 36 characters

If you have 2 blocks, you have a combination of

36 x 36 characters — which is the same as [tex]36^2[/tex]

With 3 blocks: [tex]36^3[/tex]

and so forth...

If your post code is made of 6 'blocks' it can be any combination of

[tex]36^6[/tex]

Answer:

123 more muffins

Step-by-step explanation:

To find out how many to box in total you would do 14 x 12 = 168

168 - 45 = 123

Since 45 were already boxed, 123 more would be needed to make 14 boxes.

Answer:

210

Step-by-step explanation:

126 is 60% of What Number? - 126 is 60% of 210. 100% of 210 is 210, therefore 60 percent of 210 equals 126.

Formula = Number x 100

Percent = 126 x 100

60 = 210

Following shows the steps on how to derive this formula and find out 60% of what number is 126.

Step 1: If 60% of a number is 126, then what is 100% of that number? Setup the equation.

126

60% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

60Y = 126 x 100

60Y = 12600

Y = 12600

100 = 210

What is  126 % of 60 ? = 210

Answer: …

Step-by-step explanation:

Well, 126 is 60% of 210. 100% of 210 is 210, therefore 60 percent of 210 equals 126

Answer:

2*2*3*5

Step-by-step explanation:

Use a factor tree to express 60 as a product of prime factors. So the prime factorization of 60 is 2 × 2 × 3 × 5, which can be written as 2 2 × 3 × 5. The actual prime factors of 60 are 2, 3, and 5.

50 ounces

hope it helps...!!!

I think its 71, but I am not 100% sure. Take this as a secondary answer.

Answer:

C. 71°

Step-by-step explanation:

If angles 4 and 12 are equal and complementary, then they measure 45°

There is a triangle formed by angles 3, 11 and 12

the angle 3 = 64°, angle 12 = 45°

Then by the property of triangles:
angle 11 = (180 - 64 - 45)° = 71°

Hope this helps

Answer:

[tex]\longrightarrow: \boxed{\sf{x=-6}}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

First, you subtract by 19 from both sides.

⇒ x+19-19=13-19

Solve.

Add/subtract the numbers from left to right.

⇒ 13-19=-6

⇒ x=-6

I hope this helps! Let me know if you have any questions.

Answer:

Step-by-step explanation:

In the question we're given with an equation that is x + 19 = 13 and we have asked to find the solution of equation that means we have to find the value of x .

Solution :

[tex] \longmapsto \: x + 19 = 13[/tex]

Subtracting 19 on both sides :

[tex] \longmapsto \: x + \cancel{19} - \cancel{19 }= 13 - 19[/tex]

On further calculations we get :

[tex] \longmapsto \: \blue{ \boxed{x = - 6}}[/tex]

Verifying :

We are verifying our answer by substituting value of x in the given equation .

Therefore our value for x is correct .

Answer:

ρ =45% or 0.45

ρ with ^ = [tex]\frac{18}{50} =0.36[/tex] or equivalently 36%

Step-by-step explanation:

ρ represents the population proportion of the bus riders, with a monthly pass, who are students.

The population proportion is simply the percentage of the entire population with a particular characteristic. We have been informed that in a city, 45% of the bus riders with a monthly pass are students. This means that 45% of the whole population of bus riders with a monthly pass are students. Therefore, our ρ is simply 45% or 0.45.

ρ with ^ represents the sample proportion of the bus riders, with a monthly pass, who are students. This is a statistic or an estimator as it is normally used to estimate the value of ρ, the population proportion. It is calculated using the formula;

ρ with ^ = [tex]\frac{x}{n}[/tex]

where n represents the size of the sample and x the number of individuals in the sample with a certain desired characteristic. We have been informed that;

in a random sample of 50 bus riders with monthly passes, 18 are students.

Using the above formula and the values given we have;

ρ with ^ = [tex]\frac{18}{50} =0.36[/tex] or equivalently 36%

Answer:

2/3

Step-by-step explanation:

slope formula : ( y2 - y1 ) / ( x2 - x1 ) where the x and y values are derived from points on the line

the two points can vary but i have chosen (0,0) and (3,2)

(x1,y1) = (0,0) so x1 = 0 and y1 = 0

(x2,y2) = (3,2) so x2 = 3 and y2 = 2

recall that slope = ( y2 - y1 ) / ( x2 - x1 )

plug in x1 = 0, y1 = 0, x2 = 2 and y2 = 3

slope = ( 2 - 0 ) / ( 3 - 0 )

slope = 2 / 3

Answer:

2.740 repeated sign over 740 (just a line)

Step-by-step explanation:

divide on sheet paper

Step-by-step explanation:

[tex](9\pi \frac{2}{2} )\div 3\pi \\ [/tex]

[tex] \frac{9\pi}{3\pi} \\ [/tex]

[tex]3\pi[/tex]

3π is the answer

To determine the whether the ordered pair satisfies the equation:

     ⇒ we must plug in the values

          ⇒ since coordinates are (x,y) ⇒ (2,1)

             ⇒ there we must plug 2 into the 'x' position in the equation

                ⇒ and 1 into the 'y' position in the equation

Let's try the first equation:

   [tex]3x-y=5\\3(2)-1=5\\6-1=5\\5=5[/tex]

Let's try the second equation

   [tex]5x-2y=8\\5(2)-2(1)=8\\10-2=8\\8=8[/tex]

Thus ordered pair satisfies the following system of equations

Answer: Yes

Hope that helps!

Answer:58.8

Step-by-step explanation:

A=L*W

6*9.8=58.8

Answer:

f(-10) = -2

Step-by-step explanation:

[tex] y =\frac{20}{x}[/tex]

[tex]\implies f(x)=\frac{20}{x}[/tex]

[tex]\implies f(-10)=\frac{20}{-10}[/tex]

[tex]\implies f(-10)=-2[/tex]

Answer:

-2

Step-by-step explanation:

sub -10 in place of x and divid to give you -2