3. Pi is defined as the ratio of the circumference of a circle to the diameter of that circle. Which of the following correctly explains why the formula for the circumference of a circle is 2 mr 7 (1 point)

Two times equals the distance from one side of the circle to the other. When you multiply that by r, you get the distance around the circle, or the circumference.

Pi times requals the diameter of the circle. The diameter is half the circle, so when you multiply it by 2, you get the distance around the entire circle, or the circumference.

Two times requals the diameter of the circle. Pi is needed for all circle formulas, so you multiply by since you are finding the circumference.

Two times requals the diameter of the circle. Pi equals the circumference divided by the diameter. When you multiply, the diameter is in both the numerator and the denominator, which cancels out, leaving the circumference.​

Answer:

$12 is your answer, he needs $12 more dollars to buy the unlimited game pass.

Step-by-step explanation:

20 + 6 + 6 =32

35-32=3

15-3=$12

Answer:

The answer is be the intercept

The values of h is v3 in span fv1; v2g and h is fv1; v2; v3g is 4.

If we have given a vector v of initial point A and terminal point B

v = ai + bj

then the components form as;

AB = xi + yj

Here, xi and yj are the components of the vector.

We are given that;

v1 and v2 are not scalar multiples to each other

So, they are not linearly dependent

Now,

1(10h -42) -3(-14 +3h) +2 (18-20) =0

10h -9h-4 =0

h = 4

Therefore, by vectors the answer will be 4 so that the vector v3 is in {v1,v2}.

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Answer:

removing 1 x-tile from each side.

Step-by-step explanation:

the question is asking to isolate x and the equation is 2x = x + 3.

to isolate x subtract each side by an x-tile

Answer:

The answer is A

Step-by-step explanation:

Answer:

B. Petri dishes and sterile droppers

\( \leadsto \sf {k}^{ - \frac{1}{6} } \)

\( \\ \)

\( \leadsto \sf \dfrac{1}{{k}^{ - \frac{1}{6} }} \)

\( \\ \\ \)

\( \leadsto \sf \dfrac{1}{ \sqrt[6]{k} } \)

Answer:

(k^-1)^1/6

\(\sqrt[6]{k ^-1}\)  

Step-by-step explanation:

for second one -1 is coefficient sry can't format it

Answer:

2.6

Step-by-step explanation:

The χ² = (observed - Expected)²/Expected

The expected wins :

n = 6

(45+33+44+39+42+37) / 6 = 40

χ² = (45-40)²/40 + (33-40)²/40 + (44-40)²/40 + (39-40)²/40 + (42-40)²/40 + (37-40)²/40

χ² = 0.625 + 1.225 + 0.4 + 0.025 + 0.1 + 0.225

χ² = 2.6

1. <C= 90 degree

AC =  13.25 unit

<B= 60 degree

2.  <C= 90 degree

AC =  13.

<B= 60 degree

1. Using Sine law

sin C/4 = sin 30/2 = sin B/ AC

so, sin C/4 = 1/4

sin C = 1

C= 90 degree

and, <B= 180 - 30- 90= 60 degree

So, sin 30/2 = sin 60/ AC

1/4 AC = √3/2

AC = 2√3

2. Using Sine law

sin 30/ 7.65 = sin B / 15.3

1/15.3 = sin B/15.3

sin B= 1

B = 90 degree

and, <C= 180 - 90 - 30 = 60

So, 1/15.3 = sin 60/ C

C = 13.25

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Answer:

negative multiples of 3 less than -3

Step-by-step explanation:

if m <9, then

m ={8,7,6,5,4,3,2,1,0,-1,-2,....,..........}

And |6m-55|

So is said that,

when, m= 8

6(8)-55=-6

when, m=7

6(7)-54=-12

when, m = 6

6(6)-54=-18

Since the trend is negative multiples of 3 less than -3

this is my answer

Given equations are,

4x - y = -2 ------(1)

x - 3y = 5 ------(2)

There are two variables in the equations 'x' and 'y'.

Coefficients of these variables in equation (1),

Coefficient of x = 4

Coefficient of y = -3

Similarly, constant terms of equations (1) and (2) are -2 and 5 respectively.

Matrix to solve these equations will be,

\(\begin{bmatrix}4 &-1 \\ 1 & -3\end{bmatrix}\begin{bmatrix}x\\y \end{bmatrix}=\begin{bmatrix}-2\\ 5\end{bmatrix}\)

Therefore, Option (A) will be the correct option.

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Answer:

40,000,000

Step-by-step explanation:

Answer:

Step-by-step explanation:8  4  9  5  6  7  0  5  3  

Ones : 3

Tens : 5

Hundreds : 0

Thousands : 7

Ten Thousands : 6

Hundred Thousands : 5

Million : 9

Ten Million : 4

Hundred Million : 8

Answer:

Can you take picture, please?

For the linear function built from the scatter plot, it is found that:

The slope-intercept representation of a linear function is the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are listed as follows:

From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:

b = 500.

When the input increases by 200, the output increases by 1000, hence the slope is:

m = 1000/2 = 5.

Thus the equation is:

y = 5x + 500.

The graph is given by the image at the end of the answer.

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The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

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Answer:

\(m = - \frac{1}{5} n + 2\)

About 88.49% of cellphone plans have charges that are less than $83.60.

To determine the percentage of plans that have charges less than $83.60, we need to find the z-score (z) using the given mean and standard deviation, and then look up the corresponding area under the normal distribution curve.

z = (x – μ) / σ

where x = 83.60, mean, μ =  62 and standard deviation, σ = 18

Thus, the z-score of $83.60 is:

z = (83.60 - 62) / 18 = 1.2

Using a standard normal distribution table, we can find that the area to the left of z = 1.20 is 0.8849 or 88.49% (check image attached).

Therefore, about 88.49% of cellphone plans have charges that are less than $83.60.

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Answer:

2144.66

Step-by-step explanation:

Answer:

2144.93yd^3

Step-by-step explanation:

\(volume \: of \: a \: spher = \frac{4}{3} \pi \: r {3}^{} \\ radius \: r = \frac{16}{2} = 8yd \\ volume = \frac{4}{3} \times 3.142 \times 8 {}^{3} \\ volume = \frac{6434.816}{3} = 2144.93yd {}^{3} \)

Answer

=sin (u -v)

Step-by-step explanation:

sin ( u-v):     sin(u-v)

Step-by-step explanation:

1 ton = 2,000 Pounds

110 x 5 = 550

You multiply by 5 because 2,000 x 5 = 10,000.

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

Hope that helped.

Answer:

Answer is a

Step-by-step explanation:

\(7.79 \times {10}^{8} = 0.779 \times {10}^{9} \)

\(2.88 \: billion \: km \: = 2.88 \times {10}^9 \)

Distance between Jupiter and Uranus is

\((2.88 - 0.779) \times {10}^{9} \)

\( = 2.101 \times {10}^{9} km\)

Answer:

in the picture

Step-by-step explanation:

Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

The slope of a line parallel to 2y= 6x+8 is 3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet. Therefore, two (2) lines are parallel under the following conditions:

m₁ = m₂

By making y the subject of formula, we have:

2y = 6x + 8

y = 3x + 4

Therefore, the slope is 3.

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graphed in the image attached with points,

hope this helps :D

The cost of the tomatoes, in dollars per pound, using proportions, is of:

$0.86 per lb.

A proportion represents a fraction relative to a total amount, which is combined with the basic arithmetic operations, especially multiplication and division, to find the desired amounts in whichever context of a problem.

In this problem, the costs is obtained as follows:

Hence the cost in dollars per kg of the tomatoes is obtained as follows:

1.74 x 1.09 = $1.8966 per kg.

The relationship between kg and pounds is given as follows:

1 kg = 2.20 lb.

Hence the cost is written as follows:

$1.8966 per 2.20 lb.

The cost per pound of the tomatoes is of:

1.8966/2.20 = $0.86 per lb.

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The range is the best measure of variability for this data, and its value is 4.

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

The system of equations -9x+8y = 9x and 7y+8=8x is linear.

A system of equations is considered linear if each equation in the system is linear, meaning that the highest power of any variable in each equation is 1.

In this case, the first equation -9x+8y = 9x is linear because the highest power of any variable is 1 (x is raised to the first power).

Similarly, the second equation 7y+8=8x is also linear because the highest power of any variable is 1 (x is raised to the first power and y is not raised to any power).

Therefore, the system of equations is linear.

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Considering the given function, the ordered pair (5,8) means that the signed up for 5 weeks of yoga classes and 8 weeks of kickboxing classes.

The function that represents the relationship between the number x of yoga classes that Donovan signs up for and the number y of kickboxing classes is given by:

8x + 12y = 136.

Hence the ordered pair (5,8) means that the signed up for 5 weeks of yoga classes and 8 weeks of kickboxing classes.

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