can anyone help? does anyone know the last answer? its 3.

The length of the arc s is 6.283 inches.

The length of an arc is given by the formula,

\(\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}\)

where

θ is the angle, which arc creates at the center of the circle in degrees.

Radius, r = 8 in.

Angle, θ = 45°,

\(\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360}\)

\(\rm{ Length\ of\ the\ Arc\ s = 2\times \pi \times(8)\times\dfrac{45}{360}\)

\(\rm{ Length\ of\ the\ Arc\ s =6.283\ inches.\)

Hence, the length of the arc s is 6.283 inches.

Learn more about Length of an Arc:

https://brainly.com/question/1577784

The approximate length of arc s on the given circle is; 6.28inches

The length of an arc is given by the formula;

Therefore,

Length, L = (45/360) × 2 × 3.14 × 8

Read more on length of an arc;

https://brainly.com/question/2005046

Answer:

slope=5/6

Step-by-step explanation:

m=y2-y1/x2-x1

3-(-2)=5

2-(-4)=6

5/6

hope this helps :3

if it did pls mark brainliest

Answer:

5/6

Step-by-step explanation:

The graph goes up 5 units and goes right 6 units.

Slope is rise/run. y2-y1

                            x2-x1

So 3 - (-2)        that equals 5/6

     2 - (-4)

*note that whichever y coordinate you start with is the same x coordinate you start with

Please mark brainliest!!! Thanks.

The equation of the line that is parallel to the given line and has an x-intercept of 3 is y = 2/3x - 2

The given parameters are

Point =(0, -1) and (3, 1)

Calculate the slope using

m = (y₂ - y₁)/(x₂ - x₁)

Where m represents the slope

So, we have:

m = (1 -- 1)/(3 -0)

Evaluate

m = 2/3

Parallel lines have equal slopes

So, the slope of the other line is

m = 2/3

Linear equations are represented as:

y = mx + c

Where m represents the slope and c represents the y-intercept

So, we have

y = 2/3x + c

An x-intercept of 3 means

0 = 2/3 * 3 + c

So, we have

c = -2

Substitute c = -2 in y = 2/3x + c

y = 2/3x - 2

Hence, the equation of the line that is parallel to the given line and has an x-intercept of 3 is y = 2/3x - 2

Learn linear equations at

https://brainly.com/question/14323743

#SPJ4

The optimal solution is x = 2, y = 0, and the maximum value of Z is Z = 2 - 2(0) = 2. To solve the given linear programming (LP) model using the graphical method, we need to graphically represent the feasible region and find the optimal solution by maximizing the objective function.

Step 1: Graph the Constraints

We start by graphing each constraint individually on a coordinate plane.

The first constraint is x - y ≥ 0, which represents the line y = x. We can draw this line on the plane.

The second constraint is x + 2y ≤ 4. To graph this, we can rewrite it as 2y ≤ -x + 4 and then solve for y, which gives y ≤ (-1/2)x + 2. We can plot this line on the graph as well.

The third constraint x ≥ 0 represents the x-axis, and the fourth constraint y ≥ -1 represents the horizontal line y = -1.

Step 2: Identify the Feasible Region

The feasible region is the area where all constraints are satisfied. It is the intersection of the shaded regions formed by the constraints.

Step 3: Identify the Optimal Solution

To find the optimal solution, we need to maximize the objective function Z = x - 2y. The objective function is represented by a line with a positive slope.

By sliding the objective function line parallel to itself from left to right or right to left, we can observe the points of intersection between the objective function line and the feasible region. The point that gives the maximum value of Z within the feasible region is the optimal solution.

Step 4: Determine the Optimal Solution

By visually inspecting the graph, we can see that the objective function line will intersect the feasible region at the corner point (2, 0). This is the optimal solution for the given LP model.

Therefore, the optimal solution is x = 2, y = 0, and the maximum value of Z is Z = 2 - 2(0) = 2.

Learn more about function here:

https://brainly.com/question/30721594

#SPJ11

Answer:

16°C

Step-by-step explanation:

Just move four steps to the left of the number line from the 20°C mark.

Answer:

16

Step-by-step explanation:

its right

Answer:

it would actually be 52

Step-by-step explanation:

13x8=104

Then the formula to finding the area includes 1/2 as well so you would then multiply 104 times 1/2 according to the formula getting you 52. Not 104.

Answer:

An angle whose measure is equal to 90° is called a right angle. A 180° angle is called a straight angle. Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle.

the probability that exactly one machine will break down on a given day = P(A) × P(B') + P(A') × P(B)= 0.044

Let A is the event that machine a will break down,

A' is the event that machine a will not break down,

B is the event that machine b will break down,

And, B' is the event that machine will not break down.

According to the question,

P(A) = 2%

⇒ P(A) = 0.02

P(A') = 1 - 0.02 = 0.98

Similarly, P(B) = 0.025

⇒ P(B') = 1 - 0.025 = 0.975

Thus, the probability that exactly one machine will break down on a given day = P(A) × P(B') + P(A') × P(B)

= 0.02 × 0.975 + 0.98 × 0.025

= 0.044

= 4.44 %

the complete question is

A company has 2 photocopy machines. The probability that machine a will break down on a given day is 2%. The probability that machine b will break down is 2.5%. What is the probability that exactly one machine will break down on a given day?

learn more about of probability here

https://brainly.com/question/11886249

#SPJ4

Answer:

Step-by-step explanation:

The meaning of the translation (x + 6, y + 10) is that all points in a coordinate plane are moved 6 units to the right and 10 units up.

In other words, for any point (x, y) in the original position, after the translation, the new coordinates would be (x + 6, y + 10). This means that the x-coordinate of each point is increased by 6 units, resulting in a shift to the right, and the y-coordinate is increased by 10 units, resulting in a shift upwards.

Answer:

$42 would be the correct answer.

Using the triangle inequality theorem, the combination of side lengths, in cm, that could make a triangle for the quilt are:

12, 35, 37

16, 30, 34

20, 21, 29

The Triangle Inequality Theorem is a fundamental theorem in geometry that states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

More formally, given a triangle with sides a, b, and c, the Triangle Inequality Theorem states:

a + b > c

b + c > a

a + c > b

If any of these inequalities is not true, then the three sides cannot form a triangle.

Using the Triangle Inequality Theorem, we can check which of these sets of numbers can form the sides of a triangle:

For the first set of numbers (12, 35, 37):

12 + 35 > 37 (True)

35 + 37 > 12 (True)

12 + 37 > 35 (True)

Therefore, the numbers 12, 35, and 37 can form the sides of a triangle.

For the second set of numbers (16, 30, 34):

16 + 30 > 34 (True)

30 + 34 > 16 (True)

16 + 34 > 30 (True)

Therefore, the numbers 16, 30, and 34 can form the sides of a triangle.

For the third set of numbers (18, 24, 42):

18 + 24 > 42 (False)

24 + 42 > 18 (True)

18 + 42 > 24 (True)

Therefore, the numbers 18, 24, and 42 cannot form the sides of a triangle.

For the fourth set of numbers (20, 21, 29):

20 + 21 > 29 (True)

21 + 29 > 20 (True)

20 + 29 > 21 (True)

Therefore, the numbers 20, 21, and 29 can form the sides of a triangle.

Learn more about the triangle inequality theorem on:

https://brainly.com/question/309896

#SPJ1

\(\cos(40^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{6}}\implies 6\cos(40^o )=x\implies 4.596\approx x\)

Make sure your calculator is in Degree mode.

1 13/8

Have a great day!

P.S it can also be 21/8

Answer:

64 = (66+2/3)x

x=0.96

Step-by-step explanation:

64 is 66 2/3 of 96

set up the proportion 64 over x = 66 2/3 over 100

cross multiply and youll have 6400 and 66 2/3 x

to find x, divide 6400 by 66 2/3 (aka 200/3)

you should get 96

hope i helped

(the answer can't be less than 64 since 64 is only part of the whole number)

Answer: 19

Step-by-step explanation:

Let's solve

\(\\ \rm\Rrightarrow F=\dfrac{9}{5}C+32\)

\(\\ \rm\Rrightarrow 65=\dfrac{9}{5}C+32\)

\(\\ \rm\Rrightarrow \dfrac{9}{5}C=65-32=33\)

\(\\ \rm\Rrightarrow 9C=165\)

\(\\ \rm\Rrightarrow C=165/9\)

\(\\ \rm\Rrightarrow C\approx 18.34^{\circ}C\)

2y=1+5x (moving 5x to the other side) {equation 1}

Y= (1+5x)/2 (dividing both sides by 2)

Substitute {Y=(1+5x)/2} into equation: (-8x+9y=19)

Therefore giving you:

-8x+9(1+5x)/2=19

-8x+(9+45x)/2=19

(multiply through by 2 to remove the fraction)

-16x+9+45x=38

45x-16x=38-9(grouping like terms)

29x=29

Divide both sides by 29

X=1

Substitute X=1 into equation (-5x+2y=1)

-5(1)+2y=1

(-5)+2y=1

2y=1+5

2y=6

2y/2=6/2 (dividing both sides by 2)

Y=3.

:X=1 and Y=3

Answer:

X = 1

Y = 3

Step-by-step explanation:

Given equations are;

-5x+2y=1              Eqn 1

-8x+9y=19          Eqn 2

Multiplying Eqn 1 by -8

-8(-5x+2y=1)

40x - 16y = -8     Eqn 3

Multiplying Eqn 2 by 5

5(-8x+9y=19)

-40x+45y=95     Eqn 4

Adding Eqn 3 and 4

40x - 16y - 40x + 45y = 95 - 8

29y = 87

Dividing both sides by 29

\(\frac{29y}{29}=\frac{87}{29}\\y = 3\)

Putting y = 3 in Eqn 1

-5x + 2(3) = 1

-5x + 6 = 1

-5x = 1 - 6

-5x = -5

x = 1

Hence,

X = 1

Y = 3

the best estimate of the half-life, combining the two results, is approximately 13.7421 days with an uncertainty of approximately 1.3772 days.

To determine the best estimate of the half-life by combining the two results, we can use the weighted average method. The weights assigned to each measurement are inversely proportional to the squares of their uncertainties. Here's how to calculate the combined result:

Step 1: Calculate the weights for each measurement.

  w1 = 1/σ1^2

  w2 = 1/σ2^2

  Where σ1 and σ2 are the uncertainties associated with each measurement.

Step 2: Calculate the weighted values.

  w1 * t1 = w1 * (15.5 days)

  w2 * t2 = w2 * (16.2 days)

Step 3: Calculate the sum of the weights.

  W = w1 + w2

Step 4: Calculate the weighted average.

  T = (w1 * t1 + w2 * t2) / W

Step 5: Calculate the combined uncertainty.

  σ = √(1 / W)

The best estimate of the half-life is given by the value of T, and the combined uncertainty is given by the value of σ.

Let's calculate the best estimate using the given values:

For the first measurement:

σ1 = 2.3 days

For the second measurement:

σ2 = 1.5 days

Step 1:

w1 = 1/σ1^2 = 1/(2.3^2) ≈ 0.1949

w2 = 1/σ2^2 = 1/(1.5^2) ≈ 0.4444

Step 2:

w1 * t1 ≈ 0.1949 * 15.5 ≈ 3.0195

w2 * t2 ≈ 0.4444 * 16.2 ≈ 7.1993

Step 3:

W = w1 + w2 ≈ 0.1949 + 0.4444 ≈ 0.6393

Step 4:

T = (w1 * t1 + w2 * t2) / W ≈ (3.0195 + 7.1993) / 0.6393 ≈ 13.7421 days

Step 5:

σ = √(1 / W) ≈ √(1 / 0.6393) ≈ 1.3772 days

Therefore, the best estimate of the half-life, combining the two results, is approximately 13.7421 days with an uncertainty of approximately 1.3772 days.

To know more about half-life of a radioactive related question visit:

https://brainly.com/question/13979590

#SPJ11

Answer:

6

Step-by-step explanation:

Answer:

D (42,-56)

Step-by-step explanation:

Scale factor means you multiply, so you multiply (6,-8) by 7.

6 x 7 is 42 and 7 x -8 is -56. So your answer is D (42,-56).  

Average rate of change of \(y = x^2 + 4x - 1\\\) over the interval \(-4 \leq x \leq 1\)  is 1

What is average rate of change of a curve?

Average rate of change of a curve is equal to the slope of the curve and is obtained by dividing the change in functional value by the change in the value of the domain.

Here,

\(y = x^2 + 4x - 1\\\)

At x = -4,

\(y = (-4)^2+ 4(-4)-1\\y = -1\)

At x = 1

\(y = (1)^2 + 4(1) -1\\y = 4\)

Average rate of change of \(y = x^2 + 4x - 1\\\) over the interval \(-4 \leq x \leq 1\)

= \(\frac{4 - (-1)}{1- (-4)}\\\\\\\frac{5}{5}\\\\1\)

To learn more about average rate of change, refer to the link -

https://brainly.com/question/8728504

#SPJ1

for 5 bucks a plate its 39 for 6 bucks its 33

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

because for any domain ,you will get only one range value ,

but ,there are two range values for 4 in A;

two range values for 7, and also for 21  in B;

two range values for 14 and for 8 in D

To find the equation of the line passing through the point (6, -3) with a slope of -2, we can use the point-slope form of the equation of a line:y - y1 = m(x - x1)where (x1, y1) is the given point and m is the slope.Substituting the given values, we get:y - (-3) = -2(x - 6)Simplifying, we get:y + 3 = -2x + 12Subtracting 3 from both sides, we get:y = -2x + 9So, the equation of the line is y = -2x + 9

The first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4.

This is because the first quartile is the median of the lower half of the data set, and when the sample size is a multiple of 4, there is anThe first quartile is always equal to one of the  valuesin the sample when the sample size is a multiple of 4. This is because the first quartile is the median of the lower half of the data set, and when the sample size is a multiple of 4, there is an even number of values in the lower half of the data set. Therefore, the first quartile will be one of the values in the sample. For example, if the sample size is 8, the first quartile will be the median of the first 4 values, which will be one of the values in the sample.

In summary, the first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4. of values in the lower half of the data set. Therefore, the first quartile will be one of the values in the sample. For example, if the sample size is 8, the first quartile will be the median of the first 4 values, which will be one of the values in the sample.
In summary, the first quartile is always equal to one of the values in the sample when the sample size is a multiple of 4.

Read more about quartile here:https://brainly.com/question/28277179

#SPJ11

If maximum acceleration in a subway is 1.334 m/s² , where the two stations are 806m apart , then the maximum speed that train can attain is 32.86 m/s  .

The maximum tolerable acceleration for passengers in a subway train is = 1.34 m/s² .

we have to find the maximum speed the train can attain between stations, we use the equation for uniform acceleration  :  v² = u² + 2as  ;

where v is = final velocity, u is = initial velocity (= 0 ), a is = acceleration, and s is = distance traveled.

the distance available to accelerate = (806/2) = 403m  ;

So , v² = 0² + 2×1.34×403 ;

⇒ v² = 1080.04 m²/s²

⇒ v = 32.86 m/s  .

Therefore ,  the maximum speed a subway train can attain between stations, for the maximum tolerable acceleration for passengers, is 32.86 m/s  .

The given question is incomplete , the complete question is

If the maximum acceleration that is tolerable for passengers in a subway train is 1.34 m/s² and subway stations are located 806m apart, What is the maximum speed a subway train can attain between stations ?

Learn more about Speed here

https://brainly.com/question/29493322

#SPJ4

The expression can be rewritten as 9/8.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given expression is as given below.

2⁻⁵ × 7⁰ × 6²

We have that any number raised to the power 0 is 1, that is a⁰ = 1.

So 7⁰ = 1

Also we have,

a⁻⁵ = 1 / a⁵

So, 2⁻⁵ × 7⁰ × 6² = 2⁻⁵ × 1 × 6² = 6² / 2⁵ = 36 / 32 = 9/8

Hence the value is 9/8.

Learn more about Expression Simplification here :

https://brainly.com/question/14575743

#SPJ1

answer:

C. Perpendicular

explanation:

perpendicular is defined as intersecting to create 90 degree angles on all four created angles.

if both lines a and b are perpendicular to line c, then they must be parallel.