What is the distance between the center and edge of a circle called

Answer:

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

Step-by-step explanation:

The equation of the graph can be obtained using the formula:

[tex]\frac{x}{x-intercept}+\frac{y}{y-intercept}=1[/tex]

From the graph, the y-intercept is -1 and the x-intercept is 2

We substitute these values to get:

[tex]\frac{x}{2}+\frac{y}{-1}=1[/tex]

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

This implies that;

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

Or

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

The function notation is

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

Answer:

The answer is C.

Step-by-step explanation:

1/2 x 4/1 = ?

We begin by multiplying the numerators:

1 x 4 = 4

And then we multiply the denominators:

2 x 1 = 2

The answer has a numerator of 4 and a denominator of 2. In other words:

1 x 4/2 x 1 =4/2

This fraction can be reduced to lowest terms:

4 ÷ 2/2 ÷ 2 =2/1 = 2

64x^4+1408x^3+11616x^2+ 42592x+ 58549

Answer:

Step-by-step explanation:

2) Boyle's law says volume varies inversely with pressure:

V = k / P

3) V = 4 when P = 3:

4 = k / 3

k = 12

4) [tex]\left[\begin{array}{cc}P&V\\1&12\\2&6\\3&4\end{array}\right][/tex]

5) Since P = d/33 + 1:

V = 12 / (d/33 + 1)

6) [tex]\left[\begin{array}{cc}d&V\\0&12\\33&6\\66&4\\99&3\end{array}\right][/tex]

ANSWER

[tex]f(1) = - 34[/tex]

[tex]f(n) = f(n - 1) + 13[/tex]

EXPLANATION

The given sequence is;

-34,-21,-8,5,....

The first term of the sequence is

[tex]f(1) = - 34[/tex]

The common difference is

[tex]d = 5 - - 8[/tex]

[tex]d = 5 + 8 = 13[/tex]

The recursive definition is given by;

[tex]f(n) = f(n - 1) + d[/tex]

[tex]f(n) = f(n - 1) + 13[/tex]

for n=2,3,4,...

Answer:

I just took the test and got it right.

Step-by-step explanation:

Answer:

with?

Step-by-step explanation:

Answer:

∠ABD = 20°

Step-by-step explanation:

Since BD is the angle bisector of ∠ABC then

∠ABD = ∠DBC ← substitute values

3x - 1 = 34 - 2x ( add 2x to both sides )

5x - 1 = 34 ( add 1 to both sides )

5x = 35 ( divide both sides by 5 )

x = 7

Hence

∠ABD = 3x - 1 = (3 × 7) - 1 = 21 - 1 = 20°

[tex]\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &2250\\ r=rate\to 35\%\to \frac{35}{100}\dotfill &0.35\\ t=\textit{elapsed time}\dotfill &3\\ \end{cases} \\\\\\ A=2250(1-0.35)^3\implies A=2250(0.65)^3\implies A\approx 617.91[/tex]

Answer:

the solution is (5, -6)

Step-by-step explanation:

Let the numbers be x and y.  Then x + y = -1 (meaning that either x or y is negative), and x - y = 11.

Solve the system:

x + y = -1

x - y = 11

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

2x    = 10, or x = 5.  If x = 5, then x - y = 11 becomes 5 - y = 11, or y = -6.

Then the solution is (5, -6).

Is the sum of 5 and -6 equal to -1?  YES.

If -6 is subtracted from +5, is the difference 11?  Yes.

Final answer:

The two numbers in the system of equations are 5 and -6. By adding the equations x + y = -1 and x - y = 11, we find x = 5, and substituting back, we find y = -6.

Explanation:

Let's define the two unknown numbers as x and y. According to the question, we have two equations. The first one, x + y = -1, tells us the sum of the two numbers is -1. The second one, x - y = 11, tells us the difference between the two numbers is 11.

To solve this system of linear equations, we can use the method of substitution or elimination. However, adding both equations is the simplest approach here:

Adding both equations, we get:

2x = 10

Now we can solve for x by dividing both sides by 2:

x = 5

Substituting the value of x into one of the original equations to find y:

5 + y = -1

Solving for y gives us:

y = -1 - 5

y = -6

So the two numbers are 5 and -6.

Answer:

With Veronica's hair

Median: 13

Mean: 17.9

Mode: 13,5

Without

Mean :13.8

median: 13

mode: 13,5

Step-by-step explanation:

Final answer:

The absolute deviation of 15 in the data set {20, 20, 30, 15, 40} is the absolute value of (15 minus the mean 25), which is 10. So, the correct answer is B. 10.

Explanation:

To calculate the absolute deviation of a number in a data set, you subtract the number from the mean of the data set and take the absolute value of the result. The mean of the data set {20, 20, 30, 15, 40} is (20 + 20 + 30 + 15 + 40) / 5, which equals 125 / 5 or 25. The absolute deviation for the number 15 would be the absolute value of (15 - 25), which is the absolute value of -10 or simply 10. Therefore, the correct answer is B. 10.

Answer:

A. 4.5%; November 25

Step-by-step explanation:

4.5/10 EOM is a type of payment term you will see on an invoice. The 4.5 stands for discount percentage and the 10 is a number of days. 4.5/10 means the payment on the invoice is due in 10 days. EOM stands for end of the month. So if the amount is paid within 10 days, the customer gets a discount of 4.5%. Which means the last day to pay in full is November 25. After that there is no discount.

Hello There!

1 bag = 3.5 cups, then 8 bags = 8 x 3.5 = 28 cups of trail mix

28 cups/12 people = 2.33 cups/person

To find the answer, we should multiply 132 by 6.

132*6=792

792+1=793

Tammy’s answer is correct.

For this case we have that by definition, the point-slope equation is of the form:

[tex]y-y_ {0} = m (x-x_ {0})[/tex]

Where:

m: It's the slope

[tex](x_ {0}, y_ {0}):[/tex] It is a point through which the line passes

We find the slope of the line according to the given points:

[tex](x1, y1) :( 7, -21)\\(x2, y2): (- 4,23)[/tex]

[tex]m = \frac {y2-y1} {x2-x1} = \frac {23 - (- 21)} {- 4-7} = \frac {44} {- 11} = - 4[/tex]

So:

[tex]m = -4\\(x_ {0}, y_ {0}) :( 7, -21)[/tex]

Substituting:

[tex]y - (- 21) = - 4 (x-7)\\y + 21 = -4x + 28[/tex]

Answer:

[tex]y + 21 = -4x + 28[/tex]

Answer:

y = - 4x + 28

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (7, - 21) and (x₂, y₂ ) = (- 4, 23)

m = [tex]\frac{23+21}{-4-7}[/tex] = [tex]\frac{44}{-11}[/tex] = - 4

Using m = - 4 and (a, b ) = (7, - 21), then

y + 21 = - 4(x - 7) ← in point- slope form

Distribute right side and simplify

y + 21 = - 4x + 28 ← in slope- intercept form

Answer:

3 liters of 15% and 2 liters of 10%

Step-by-step explanation:

You can set up a table that says the number of liters multiplied by the percent juice equals total percent of juice in L liters:

              L      *      % juice    =         %L

That is the main set up for the table.  We will put in values for the percent juice right away, because they were given to us.  Remember that percentages need to be expressed as decimals in order to use them in equations.

              L     *       % juice       =        %L

15%                          .15

10%                          .10

___________________________________

13%                           .13

Easy enough so far.  We know that the 15% juice canned juice contains 15% juice.  No secrets there at all.  We also made a row for the mixture that needs to be 13% juice.  Next we know that the total amount of the mixture has to be 5 liters.  If we mix one juice with another and the total has to be 5 liters, then we have an unknown amount of one juice, and 5 - that unknown amount of the other juice.  Filling in we have:

             L      *      % juice       =       %L

15%        x                   .15

10%      5 - x                .10

______________________________

13%         5                   .13

Our equation tells us that we have to multiply the L times the % to fill in that last column:

             L      *      % juice      =       %L

15%        x     *          .15           =      .15x

10%      5-x    *          .10          =     .10(5 - x)

__________________________________

13%         5      *        .13           =     .65

We are told from the problem we are adding the 2 juices to get the mixture, so we will add the rows in the last column and set it equal to .65:

.15x + .10(5 - x) = .65

Let's multiply everything by 100 to get rid of all those decimals:

15x + 10(5 - x) = 65

Distributing and combining like terms:

15x + 50 - 10x = 65 and

5x = 15

x = 3

That means that we need 3 liters of the canned juice that is 15% juice.

5 - 3 = 2...and 2 liters of the canned juice that is 10% juice to get the correct number of liters of 13% juice.

The question is to determine the volumes of two types of orange juice with different concentration percentages required to mix to get another juice with a specified concentration. Using the concept of weighted averages, a mathematical equation can be set up and solved to get the desired volumes.

To solve this problem, we'll use the concept of weighted averages in mathematics. The method is to set up an equation based on the volume and percentage of orange juice. We'd consider the volume of the 15% juice as 'x' liters and that of the 10% juice as '5 - x' liters (since the total volume must be 5 liters).

The equation would be: 0.15x + 0.10(5 - x) = 0.13 * 5

Solving this equation gives the volume of the 15% juice (x) and 5 - x gives the volume of the 10% juice.

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Answer:

Option B. $10.00

Step-by-step explanation:

Market value of a mutual fund = $40,000,000

Total outstanding shares = 4,000,000  

To find out per share value we use this formula  

[tex]\frac{\text{Market value of the shares}}{\text{total number of shares}}[/tex]

[tex]\frac{40,000,000}{4,000,000}[/tex]  = $10/share

The value of per share is $10.00

Answer:

Roy is 10 years old at present and Joan is 5 years old at present

Step-by-step explanation:

Let

x----> Roy's age

y----> Joan's age

we know that

x=2y ----> equation A

(x+3)+(y+3)=21 ----> equation B

substitute equation A in equation B

(2y+3)+(y+3)=21

solve for y

3y+6=21

3y=21-6

3y=15

y=5 years

Find the value of x

x=2y  ----> x=2(5)=10 years

therefore

Roy is 10 years old at present

Joan is 5 years old at present

Answer:

Roy is 10 and Joan is 5

Step-by-step explanation:

Answer:

C. Center (3,-2) and radius 3

Step-by-step explanation:

The given circle has equation:

[tex]x^2+y^2-6x+4y+4=0[/tex]

We rearrange to get:

[tex]x^2-6x+y^2+4y=-4[/tex]

We add the square of half the coefficients of the linear terms to both sides of the equation:

[tex]x^2-6x+(-3)^2+y^2+4y+(2)^2=-4+(-3)^2+(2)^2[/tex]

We factor the  perfect squares and simplify to get;

[tex](x-3)^2+(y+2)^2=9[/tex]

We can rewrite as;

[tex](x-3)^2+(y--2)^2=3^2[/tex]

Comparing this to  the standard equation of the circle;

[tex](x-h)^2+(y-k)^2==r^2[/tex]

We have (3,-2) and the center and r=3 as the radius.

ANSWER

C. II, III

EXPLANATION

The secant ratio is negative in the second and third quadrants but positive in the first and fourth quadrants.

The given secant ratio is

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

Since the secant ratio is negative, its solution must lie in the third and second quadrant.

The correct answer is C

Answer:

Step-by-step explanation:

The study doesn't prove any causation.  The only conclusion is that people with lower cholesterol levels are more likely to eat blueberries.

Answer:

There may be a correlation between eating blueberries and a lower cholesterol level.

Step-by-step explanation:

An organization of berry farmers releases a study reporting that people who eat blueberries every day have a lower cholesterol level.

The statement that describes the best conclusion to draw from the study is :

I would say that the study reveals that there may be a correlation between eating blueberries and a lower cholesterol level.

Answer:

The answer would be c

Step-by-step explanation:

The accurate statement about the value of acceleration is 3 meters per second squared.

Given data:

Acceleration is a fundamental concept in physics that describes the rate at which an object's velocity changes over time. It is a vector quantity, meaning it has both magnitude and direction.

It can be expressed as:

a = Δv / Δt

where Δv represents the change in velocity and Δt represents the change in time.

So, the denominator of the acceleration expression has the square of time.

Hence, the statement 3 meters per second squared determines the acceleration.

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The complete question is attached below:

Which of the following is an accurate statement of an acceleration value, translated from symbols into words?

A) 3 meters per second

B) 3 meters per second squared

C) 3 square meters per second

D) 3 meters in 3 seconds

Answer is C. This is because in quadrant 2, [tex]\sin\theta>0[/tex] so [tex]\csc\theta>0[/tex] is also true.

Answer with explanation:

Let , Theta =A

[tex]\tan A=\frac{-12}{5}\\\\ \csc A=\frac{-13}{12}[/tex]

In First Quadrant all Trigonometric Function are Positive.

→In Quadrant,II , Sine and Cosecant , Function are Positive only.

→Cosecant theta is negative.So, Terminal point can't be in Second Quadrant.

Option C:

Answer:

A. José, Huang, Sam

Explanation:

José’s time is faster than the oldest boy, so he came in 1st or 2nd. It is given that José did not come in second, so he came in first. The remaining places are second and third. It is stated that Huang did not come in third, so Huang came second and Sam came third. The order is José, Huang, and then Sam.

A. josé ,Huang ,Sam

Answer:

Step-by-step explanation:

B.

There is a 100% chance that the event will occur.

There is a 100% chance that the event will occur is the correct answer.

Think that you have 6 blue balls in a bags what is the odd of you getting a blue ball when you take one out of the bag?

6/6 easy right.

What does 6/6 equal to?

1 that means if something has a probability of 1 it will always happen

if something has a probability of 0 it is impossible

Answer:

  B)  6.9 cm

Step-by-step explanation:

The remaining angle is the smallest, 180° -48° -97° = 35°. The shortest side is opposite this angle. The Law of Sines tells you its length is ...

  short side = (longest side)·(sin(smallest angle)/sin(largest angle))

  = (12 cm)sin(35°)/sin(97°) ≈ 6.9 cm

The shortest side is about 6.9 cm.

<---------------------------||----------------------------------------->

           A                                         B

          50 mph                               60 mph

so let's recall that d = rt, distance = rate * time.

both cars start out at the same time, say "t" hours.

after "t" hours car A has covered say "d" miles, since there's a total of 1320, then car B must surely had covered the slack, or 1320 - d.

[tex]\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ A&d&50&t\\ B&1320-d&60&t \end{array}\qquad \implies \begin{cases} ~\hfill \boxed{d}=50t\\ 1320-d=60t \end{cases} \\\\\\ 1320-\boxed{50t}=60t\implies 1320=110t\implies \cfrac{1320}{110}=t\implies 12=t[/tex]

Answer:

c

Step-by-step explanation:

The equation which represents the total distance is x + 20 = 120. The correct option is C.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Rick is driving to his uncle's house in Greenville, which is 120 miles from Rick's town. After covering x miles, Rick sees a sign stating that Greensville is 20 miles away.

The expression will be written as,

x + 20 = 120

Therefore, the equation which represents the total distance is x + 20 = 120. The correct option is C.

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Have you found the answer to this??

Answer:

[tex]cos(30)= \frac{4}{x}[/tex]

Step-by-step explanation:

WE use the given triangle to solve for x

Given triangle is right angle triangle , so we use trigonometric rations

WE know

sin = opposite side / hypotenuse

cos = adjacent side / hypotenuse

tan= opposite side / adjacent side

For angle 30 degree, the hypotenuse is x

adjacent side have side length 4

we know the hypotenuse and adjacent side so we use cos

[tex]cos(30)= \frac{adjacent}{hypotenuse}[/tex]

[tex]cos(30)= \frac{4}{x}[/tex]

Answer:

1.875

Step-by-step explanation:

1+ 0.5 = 1.5

1.5+0.25 = 1.75

1.75+0.125 = 1.875

Answer:

1.875

Step-by-step explanation: