What is the approximate circumference of a circle that has a radius of 10 centimeters? (Use 3.14 for ). C=__ cm​

The equation of the line containing the paints A and B is y = -1/3x + 4

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(6, 2) and (0, 4)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the other points, we have

6m + 4 = 2

So, we have

6m = -2

Evaluate

m = -1/3

So, we have

y = -1/3x + 4

As an equation, we have

y = -1/3x + 4

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Answer:

C. x = 18

Step-by-step explanation:

3x = 54

First, you try to get x by itself.

To do that, you divide both sides by 3

It looks like this:

3x/3 = 54/3

And it ends up being:

x = 18

Answer:

x + 8 =21; x = 21 -8; x= 13

3x = 54; x =54/3;x= 18

x/5 = 10;x= 10× 5;x= 50

Answer:

6952.75

Step-by-step explanation:

278.11 x 25 =

6952.75

Hope that helps!

Answer:

278.11 x 25 = 6,952.75

Step-by-step explanation:

Multiply

a) Completing the frequency tree is as follows:

b) Where 72 persons did a test and 12 adults failed, the probability that a randomly chosen person is an adult who failed the test is 0.1667.

This is a simple probability problem that shows the likelihood of an expected outcome or success happening out of many possible outcomes.

Probability values lie between 0 and 1 depending on the level of certainty or otherwise.

The total number of persons who did a test = 72

The number of adults involved in the test = 32

The number of children involved in the test = 40 (72 - 32)

The number of adults who passed the test = 20

The number of adults who failed the test = 12 (32 - 20)

The number of children who failed the test = 6

The number of children who passed the test = 34 (40 - 6)

The probability that this randomly chosen person is an adult who failed the test = 0.16667 (12/72)

= 16.67%

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Answer:

\((2,6)\)

Step-by-step explanation:

Solve by substitution. Solve the second equation for x:

\(x+6y=38\\\\x+6y-6y=38-6y\\\\x=38-6y\)

Insert the value of x into the first equation:

\(5(38-6y)+y=16\)

Solve for y. Simplify multiplication using the distributive property:

\(5(38)+5(-6y)+y=16\\\\190-30y+y=16\\\\190-29y=16\)

Subtract 190 from both sides:

\(190-190-29y=16-190\\\\-29y=-174\)

Isolate the variable to find its value. Divide both sides by -29:

\(\frac{-29y}{-29}=\frac{-174}{-29} \\\\y=6\)

Now take the value of y and insert back into either equation to solve for x:

\(5x+6=16\)

Subtract 6 from both sides:

\(5x+6-6=16-6\\\\5x=10\)

Divide both sides by 5:

\(\frac{5x}{5}=\frac{10}{5}\\\\ x=2\)

Therefore, the solution to the system is \((2,6)\).

:Done

Answer:

21000

Step-by-step explanation:

2745 -> 3000

6.9 -> 7

3000 x 7 =

21000

Answer:

y = (-3x/5) +1

Step-by-step explanation:

We know that the line passes through the point (-5 , 4)

AND

the slope is given to be -3/5

let's look at the slope a bit more

we know that the formula for slope of a line is Rise / Run

Which means that the rise of this line is -3 after spanning 5 units to the right

Hence, the line goes down 3 units after moving 5 units to the right

We know that to find the equation of a line through the point-slope equation, we need the slope as well as the y-intercept of the line

since we are already given the slope, we need to find the point where the line intersects the y-axis

Now, back to the given point the line passes through

this point has a x - coordinate of -5 and we know that after moving 5 units to the right, the line moves 3 units downwards

So, if the line moves 5 units to the right from the given point, it will reach the y- axis and we know that it's y-coordinate will decrease by 3

Hence, the y-intercept will be 3 units below the given y -coordinate

y - intercept = (4 - 3) =  1 = y-intercept

Now, using the slope-intercept formula to get the equation:

y =  (slope)*x + (y-intercept )

y = (-3/5)x + (1)

y = (-3x/5) + 1

To draw a conclusion, a statistical analysis with a significance level (alpha) of 0.02 can be applied to compare the results.treated samples consistently show lower shrinkage temperatures compared to the control samples

In this study, the aim is to prove that electrical stimulation improves meat tenderness. Connective tissue (collagen) from beef steaks was examined, as lower collagen shrinkage temperature indicates higher tenderness.

The beef carcasses were split, with one side subjected to electrical current and the other side untreated as a control. Steak samples were cut from each side and tested for tenderness by determining the collagen shrinkage temperature.

I, it suggests that electrical stimulation does improve meat tenderness.

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Answer:

t=6

Step-by-step explanation:

They could go for 6 hours as 6x5=35 and the $14 fee is 49 so it would be 5(6)+14=49 when t=6

hope this helps

Hello!

\(\frac{14c}{12c}\) simplified to lowest terms is \(\frac{7c}{6c}\)

Step-by-step explanation:

Other simplified versions of the expression is \(\frac{7}{6}\), \(1.16\), 1 \(\frac{1}{6}\)

Hope this helps!

Answer:

y = x - 9

Step-by-step explanation:

\(Slope=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }=\frac{4-(-5)}{4-(-5)}=\frac{9}{9}=1\)

\(y-intercept:y-y_{1}=m(x-x_{1} ) \\y-(-5)=1(x-4)\\y+5=x-4\\\)

Subtract 5 from both sides;

y = x - 9

Answer:

10 minutes per hour

Step-by-step explanation:

i just did it

Answer:

10 minutes per mile :D

Step-by-step explanation:

The vertical number line would represent the height above ground level.

The total distance of the waterfall is:

So, the opposite distance from where you are eating lunch would be:

Therefore, the drone would need to fly up 1.8 miles in the air..

Similarly, to find the opposite distance from where you are swimming, we need to subtract the distance of the path to the bottom from the total distance of the waterfall.

So, the opposite distance from where you are swimming would be:

In this problem, the value of zero represents the top of the waterfall where you and your friend are currently standing.

Let's say the distance from the top of the waterfall to the bottom is d miles. So, the total distance you hike to reach the bottom and then back to the top would be 2d miles.

Now, if you hike down to go swimming, the absolute value of the distance you cover would be |d|.

And if you hike back to the top, the absolute value of the distance you cover would be |-d| = |d|.

Since both distances are equal, we can say that you hiked the same distance in both directions.

See the attached graph.

EXPLANATION:

Required;

We are required to identify which of the options given would be considered categorical data.

Solution;

Categorical data is described as data that can be sorted or grouped into categories. It can also be described as qualitative. Good examples are eye color, gender, blood type, etc.

From the options provided, hair color is one data type that is made up of words and not numerical. This qualifies as categorical data.

ANSWER:

Option B; hair color

Answer: x=3\(\sqrt{2\). y=3\(\sqrt{2\)

Step-by-step explanation: This is a 45-45-90 triangle. Both of the legs, x and y, are congruent. To find the length of the legs, divide 6, the hypotenuse, by \(\sqrt{2\). 6/\(\sqrt{2\)=3\(\sqrt{2\).

Answer:

B. The vectors v and w are orthogonal because their dot product is 0

Step-by-step explanation:

Given that :

v=  - i - j  

w= - i + j

Therefore;

vw = ( - i - j )  ( - i + j )

Taking each  set of integer of the vector into consideration:

vw = ( -1 × - 1) ( -1 × 1)

vw = 1 - 1

vw = 0

Hence, we can conclude that :

The vectors v and w are orthogonal because their dot product is 0  

Answer:

Step-by-step explanation:

3/4x3=9/4

Answer:

2 1/4

Step-by-step explanation:

3/4+3/4=1 2/4

1 2/4+3/4=2 1/4

Answer:

A)  On a graph, find the point of intersection of two lines; the first line has y-intercept = 5 and slope = −3, and the second line has y-intercept = 2 and slope = 1.

Step-by-step explanation:

\(\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}\)

Given system of linear equations:

\(\begin{cases}y=-3x+5\\y=x+2\end{cases}\)

Compare the given equations to the slope-intercept form to determine the slope and y-intercept of each line.

Line 1

Line 2

The solution to a graphed system of equations is the point of intersection of the two graphs.

Therefore, the statement that best explains the steps to solve the pair of equations graphically is:

Answer:

x = 20

Step-by-step explanation:

The sides are similar so they equal each other proportionally.

8/14 = 4/7

49 - 14 = 35

Segment MU is 4/7 the size of segment NT.

So x will be 4/7 the size of segment VN.

35 x 4/7 = 20

x = 20

Answer:

14 feet

Step-by-step explanation:

The zip line is the distance between the pool and where the zip line was initially attached.

From the question, we understand that the pool is 14 feet away from the other end of the zip line (i.e. the initial attachment)

Hence:

The required distance is 14 feet

Another Logic is:

Take the first end of the zip line as point 0 feet

\(Pool = 14\ feet\)

\(Distance = 14\ feet - 0\ feet\)

\(Distance = 14\ feet\)

Answer:

f^-1(x)=1/4x+2

Step-by-step explanation:

y=4x-8

change x and y

x=4y=8

switch sides

4y-8=x

add 8

4y=x+8

divide both sides by 4

y=1/4x+2

substitute f^-1(x) for y

f^-1(x)=1/4x+2

Answer:

Step-by-step explanation:

Sales Revenue:  $800.00

Cost of good sold:  $350,000.00

Subtract:                   $450,000.00

Sales Revenue:         $795,000.00

Cost of good sold:     $600,000.00

Subtract Sales             $195,000.00

Revenue from Cost

of goods sold.

The solutions of the equation of the graph is -4 and 2.

An placement of values to the uncertainties that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself. Particularly but not exclusively for polynomial equations, the solution of an equation is frequently referred to as the equation's root. An equation's solution set is the collection of all possible solutions.

We know that the solution of the equation is determined using the graph by obtaining the point of intersection of the equation.

In the given graph the point of intersection of the two equations are at x = -4 and x = 2.

Hence, the solutions of the equation of the graph is -4 and 2.

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The complete question is:

Answer:

80%

Step-by-step explanation:

If you divide 52 by 65 you will get a decimal, then multiply by 100% to get the equivalent.

52/65 = 0.8

0.8 x 100 = 80%

3842 and 2642 are the two numbers.

What is linear equations?
Linear equations are a subset of first order equations. One homogeneous variable of degree one constitutes a linear equation in one variable (i.e., only one variable). A linear equation could contain multiple variables. When a linear equation comprises two variables, for instance, linear equations in two variables are utilized. A mathematical statement known as an equation contains an algebraic expression and the equal symbol (=). It is the equation for a straight line. The equation is shown to be valid when values are substituted for the unknown values in the solutions of linear equations. When there is just one variable, there is just one answer.

How to Solve?
Solving a linear equation involves determining the answer to a linear equation with one, two, three, or more variables. The answer to a linear equation is the value or values of the variable(s) that are part of the equation. There are six main ways to resolve linear equations. For the purpose of solving linear equations, these methods include the Graphical Method, Elimination Method, Substitution Method, Cross Multiplication Method, Matrix Method, and Determinants Method.

Let the greater of the two numbers be "x" and the smaller one be "y".
Given, x - y = 1200 --(i) & x + y = 6484 --(ii)
Adding (i) and (ii), we get, 2x = 7684 ⇒ x = 3842
Subtracting (i) from (ii), we get, 2y = 5284 ⇒ y = 2642
Thus, the greater number of the two numbers is 3842 and the smaller number is 2641.

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Answer:3x+y=-8

Step-by-step explanation: If you were to solve each equation by graph the slope would be negative 3

207/5 is the simplest form of  \(1\frac{3}{10}\) ×18

A number system is defined as a system of writing to express numbers.

We need to find the simplest form of \(1\frac{3}{10}\) ×18

Convert the mixed fraction to improper fraction and simplify.

 \(1\frac{3}{10}\)=23/10

Now multiply Twenty three divided by ten with eighteen.

23/10×18

Multiply 23 and 18

23×18=414

Now divide 414 by 10

414/10

Both numerator and denominator can be divided by 2 so

207/5

Hence 207/5 is the simplest form of  \(1\frac{3}{10}\) ×18

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