Slope
Y-coordinate
X-coordinate

Answer: 156.38 m

Step-by-step explanation:

Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)

Answer:

  (a)  42 = x + 29

Step-by-step explanation:

You want the equation showing how many cookies (x) Bella will bake when she returns home, adding to the 29 she already baked, to make a total of 42 cookies.

The numbers of cookies baked (29) and cookies to be baked (x) will add up to give a total of 42 cookies:

  42 = x + 29

__

Additional comment

We know the value of x will be found by subtracting 29 from 42.

  x = 42 -29 . . . . . . subtract 29 from both sides of the above equation

  x = 13

This knowledge might tempt one to choose one of the answers involving subtraction. Here, the question is not about the value of x. It is about the relationship between the numbers 42, 29, and x. The purpose of the equation is to describe that relationship.

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Answer:

e

Step-by-step explanation:

1. Write as an algebraic equation

e-2=15

2. Isolate e

add 2 on both sides to cancel put the -2

e=17

Answer:

cioè x ≥ 1; si avrà pertanto x > 0

Step-by-step explanation:

EXERCISE 2. Risolvere le seguenti disuguaglianze:

(1) | x−1 |< 3

(2) | x+1 |> 2

(3) | 2x+1 |< 1

(4) | x−1 |<| x+1 |

Caso: (a): | x−1 |< 3, risolvo

x−1 < 3

x ≥ 1

∪

−x+1 < 3

x < 1

, si avrà quindi

x < 4

x ≥ 1

cioè 1 ≤ x < 4 e

x > −2

x < 1

cioè −2 < x < 1. L’unione tra le due dà la soluzione −2 < x < 4

Caso: (b):

x+1 > 2

x ≥ −1

∪

−x−1 > 2

x < −1

, si avrà quindi

x > 1

x ≥ −1

cioè x > 1 e

x < −3

x < −1

cioè x < −3,

pertanto x < −3 ∪ x > 1

Caso: (c):

2x+1 < 1

x ≥ −1

2

∪

−2x−1 < 1

x < −

1

2

, si avrà quindi

x < 0

x ≥ −1

2

cioè −

1

2 ≤ x < 0 e

x > −1

x < −

1

2

cioè

−1 < x < −

1

2

. pertanto −1 < x < 0

Caso: (d): in questo caso,

−x+1 < −x−1

x < −1

∪

−x+1 < x+1

−1 ≤ x < 1

∪

x−1 < x+1

x ≥ 1

, si avrà quindi

0 < −2

x < 1

cioè non si hanno soluzioni e

x > 0

−1 ≤ x < 1

cioè 0 < x < 1 e

0 < 2

x ≥ 1

cioè x ≥ 1; si avrà pertanto x > 0

Ride block 1 has 4 hours and 30 minutes

Ride Block 2 has 5 hours and 30 mins

Answer:

Slope (known as m) = -3/2; Y-int (known as b) = 3

Step-by-step explanation:

m = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

m = \(\frac{{0}-{3}}{{2}-{0}}\)

m = \(\frac{-3}{2}\)

b = \(3\)

Answer:

1/5

Step-by-step explanation:

Refer to the image for the region. I've chosen to "scan" the region horizontally for convenience sake, so x varies for values between the green and the red line, and y varies from 0 to 1.

The two lines have equations \(x=7-6y\) (red line) and \(x=7-7y\) (green line). Since we're integrating first with respect to x, it's easier to write the equation like that and not as \(y=mx+q\) since they will become our new limits of integration

Our double integral will become

\(\int \limits_0^1 \ \ \int \limits_{7-7y}^{7-6y}y^3dxdy = \int \limits_0^1 y^3x|\limits_{7-7y}^{7-6y} dy =\\\int \limits_0^1 y^3[(7-6y)-(7-7y)]dy = \int \limits_0^1y^3(y)dy =\\\int \limits_0^1 y^4dy =\frac15y^5|\limits_0^1=\frac15\)

A is either 45° or 135°.

To prove the given statement, let's assume that the points B and C lie on a coordinate plane, with the origin (0, 0) as the common vertex of the right angles at points B, C, and A. Let the coordinates of points B and C be (x₁, y₁) and (x₂, y₂) respectively.

Using the distance formula, we have:

AB² = x₁² + y₁²

AC² = x₂² + y₂²

According to the given equation, +b4+c4 = 20² (b²+c²), we can rewrite it as:

(x₁² + y₁²) + (x₂² + y₂²) = 20² [(x₁² + y₁²) + (x₂² + y₂²)]

Expanding and simplifying the equation, we get:

x₁² + y₁² + x₂² + y₂² = 20² (x₁² + y₁² + x₂² + y₂²)

This equation can be further simplified to:

(x₁² + y₁²) + (x₂² + y₂²) = (20² - 1) (x₁² + y₁² + x₂² + y₂²)

Since the left side represents the sum of the squares of the distances from the origin to points B and C, and the right side is a constant multiplied by the same sum, we can conclude that the points B and C must lie on a circle centered at the origin.

In a circle, the sum of angles subtended by two perpendicular chords at the center is either 180° or 360°. Since the given problem involves right angles, we consider the sum of angles to be 180°.

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Answer:

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Step-by-step explanation:

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Answer:

no solutions

Step-by-step explanation:

2(x+7) = 6x + 9 -4x

Distribute

2x+14 = 6x + 9 -4x

Combine like terms

2x+14 = 2x + 9

Subtract 2x from each side

2x+14-2x = 2x + 9 -2x

14 = 9

This is never true so there are no solutions

\(\huge\text{Hey there!}\)

\(\large\textsf{2(x + 7) = 6x + 9 - 4x}\)

\(\large\textsf{2x + 14 = 6x + 9 - 4x}\)

\(\large\textsf{2x + 14 = 2x + 9}\)

\(\large\text{SUBTRACT \textsf{2x} to BOTH SIDES}\)

\(\large\textsf{2x + 14 - 2x = 2x + 9 - 2x}\)

\(\large\text{CANCEL out: \textsf{2x - 2x} because that gives you \textsf{0}}\)

\(\large\text{NEW EQUATION: \textsf{14 = 9}}\)

\(\large\text{SUBTRACT \textsf{14} to BOTH SIDES}\)

\(\large\textsf{14 - 14 = 9 - 14}\)

\(\large\textsf{14 - 14 = \bf 0}\)

\(\large\textsf{9 - 14 = \bf -5}\)

\(\large\textsf{\bf 0 = -5}\)

\(\large\textsf{Therefore, this means that you DO NOT have any solutions to this}\\\large\textsf{equation}\)

\(\boxed{\boxed{\huge\text{Therefore, your answer: \textsf{No Solutions}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

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The solution to the given problem of standard deviation comes out to be this population's standard variation is roughly 20.35.

Variance is a measure of difference used in statistics. The total variance in between the dataset and the mean is calculated using the exponent of that figure.

By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other quantifiable variables. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.

Here,

We can use the following method to determine the standard deviation of these population data:

σ = √[Σ(x - μ²) / N]

x is the value of each measurement, is the mean of the measurements, and N is the total number of observations, where is the standard deviation.

We must first determine the mean of observations:

μ = (776.3 + 748.8 + 766.5 + 731.9 + 790.7)/5 μ = 762.84

The total of the squared deviations from the average can then be determined:

Σ(x - μ²)

= (776.3 - 762.84)² + (748.8 - 762.84² + (766.5 - 762.84)²+ (731.9 - 762.84²+ (790.7 - 762.84) (790.7 - 762.84)

Σ(x - μ²)= 276.25 + 168.44 + 13.69 + 826.45 + 784.54

Σ(x - μ²) = 2069.37

We can determine the following using the standard deviation formula:

√[(x - x)2 / N] = √[2069.37 / 5]

σ = √(413.874)

= 20.345

As a result, this population's standard variation is roughly 20.35.

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The Antiderivative of sin(x)sec^2(3x) is (3/8)ln|sec(3x)|cos(x) + C

To integrate the function sin(x)sec^2(3x) using integration by parts, we need to use the formula:

∫u dv = uv - ∫v du

where u and v are functions of x and dv and du are their differentials.

Let u = sin(x) and dv = sec^2(3x) dx. Then, we have:

du/dx = cos(x)

v = (1/3)tan(3x)

Using the formula, we get:

∫sin(x)sec^2(3x) dx = sin(x)(1/3)tan(3x) - ∫(1/3)tan(3x) cos(x) dx

Now, we need to integrate the second term on the right-hand side using integration by parts again. Let u = cos(x) and dv = (1/3)tan(3x) dx. Then, we have:

du/dx = -sin(x)

v = (1/9)ln|sec(3x)|

Using the formula, we get:

∫(1/3)tan(3x) cos(x) dx = (1/9)ln|sec(3x)|cos(x) + (1/9)∫sin(x)sec^2(3x) dx

Rearranging this equation, we have:

(8/9)∫sin(x)sec^2(3x) dx = (1/9)ln|sec(3x)|cos(x) + C

where C is the constant of integration.

Finally, substituting this equation into the previous one, we get:

∫sin(x)sec^2(3x) dx = (3/8)ln|sec(3x)|cos(x) + C

where C is the constant of integration.

Therefore, the antiderivative of sin(x)sec^2(3x) is (3/8)ln|sec(3x)|cos(x) + C.

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Answer: This is the answer. please give me the brainliest. Thanks

9514 1404 393

Answer:

  500 ÷ 8 = 62 r 4, for example

Step-by-step explanation:

In order to have a remainder of 4, the divisor must be greater than 4, so could be any of 5, 6, 7, 8, 9.

The corresponding numbers could be any of ...

  504 +5n . . . 0 ≤ n ≤ 19

  502 +6n . . . 0 ≤ n ≤ 16

  501 +7n . . . 0 ≤ n ≤ 14

  500 +8n . . . 0 ≤ n ≤ 12

  508 +9n . . . 0 ≤ n ≤ 10

__

For example, with the divisor being 6, and n=13, the number could be ...

  580 = 6·96 + 4

After doing some mathematical operations, we can conclude that Irene spends $24.05 on 6.5 gallons of gas.

So, the amount Irene spends on gas:

Then, the amount of 6.5 gallons of gas:

Therefore, after doing some mathematical operations, we can conclude that Irene spends $24.05 on 6.5 gallons of gas.

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Answer:

B) 1,260

Step-by-step explanation:

7!/2!2! = 1,260

The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

The functions for this problem are defined as follows:

When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.

Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.

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Answer:

1 person got 68 inches

4 persons got 69 inches

2 persons got 70 inches

3 persons got 74 inches

1 person got 76 inches

Answer:

22 cents per mile

Step-by-step explanation:

to get this answer, divide 17.60 by 4 to get the unit rate, or the rate when x=1.

Answer:

the answer is 35.0° pls thank :)

Answer:

1133.4312 US$

Step-by-step explanation:

Just use a calculator or write it down

Answer:

Your answer is 154.55 as the reduction price.

Your answer is 1,133.44 as the complete price after the discount.

Step-by-step explanation:

12% = 0.12

1287.88 x 0.12 = 154.5588

Round to 154.55$.

1287.99 - 154.55 = 1,133.44

Answer:

4/103

Step-by-step explanation:

2/the average of 52 and 51

2/51.5 or 4/103

A system of equations to model this scenario is given as follows -

x + y = 320

7x + 10y = 2900

        {m} - slope                 {c} - intercept along the y - axis.

Given is that on one day at a local minigolf course, there were 320 customers who paid a total of $2,900. The cost for a child is $7 per game and the cost for an adult is $10 per game.

Let {x} represents the number of children and {y} represents the number of adults who played that day. We can write the given system of equations as -

x + y = 320

7x + 10y = 2900

Therefore, a system of equations to model this scenario is

x + y = 320

7x + 10y = 2900

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140.55 pounds will be sold approximately each week at the optimal price of $0.67/lb.

To find the price elasticity of demand for bananas at $0.20/lb, we need to use the formula:

According to the given data:

E(p) = -p(q'/q(p))

where q' is the derivative of q(p) with respect to p.

First, we need to find q'(p):

\(q'(p) = -225e^(1.5(5-p))\)

Then, we can plug in the values:

E(0.20) = -0.20(q'(0.20)/q(0.20))

= \(-0.20(-225e^(1.5(5-0.20)) / 100e^(1.5(5-0.20)))\)

= 2.70

Therefore, the price elasticity of demand for bananas at $0.20/lb is 2.70.

To find the price elasticity of demand for bananas at $1/lb, we can use the same formula:

E(p) = -p(q'/q(p))

First, we need to find q'(p):

\(q'(p) = -225e^(1.5(5-p))\)

Then, we can plug in the values:

E(1) = -1(q'(1)/q(1))

= \(-1(-225e^(1.5(5-1)) / 100e^(1.5(5-1)))\)

= 0.68

Therefore, the price elasticity of demand for bananas at $1/lb is 0.68.

To find the price that maximizes revenue, we need to find the value of p that makes revenue, R(p), maximum.

Revenue is given by:

R(p) = pq(p)

= \(p100e^(1.5(5-p))\)

To maximize revenue, we need to find the critical point of R(p) by taking its derivative and setting it equal to zero:

\(R'(p) = 100e^(1.5(5-p)) - 150pe^(1.5(5-p)) = 0\)

Simplifying this expression, we get:

\(2e^(1.5(5-p)) - 3pe^(1.5(5-p)) = 0\)

2 = 3p

p = 2/3

Therefore, the price that maximizes revenue is $0.67/lb.

To find the maximum revenue per week, we can plug this price back into the revenue equation:

\(R(2/3) = (2/3)*100e^(1.5(5-2/3))\)

= $167.56

Therefore, the maximum revenue per week is $167.56.

To find how many pounds will be sold each week at the optimal price of $0.67/lb, we can plug this price back into the demand equation:

\(q(2/3) = 100e^(1.5(5-2/3))\)

= 140.55

Therefore, approximately 140.55 pounds will be sold each week at the optimal price of $0.67/lb.

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Using conditional probability, it is found that there is a 0.00002 = 0.002% probability that an event that occurs in this region is that of an authorized user .

Conditional Probability

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

In this problem:

Probability of an event in this region:

Hence:

\(P(A) = 0.01\frac{1}{1000} + 0.5\frac{999}{1000} = \frac{0.01 + 0.5(999)}{1000} = \frac{499.51}{1000}\)

The probability of an event and an authorized user is:

\(P(A \cap B) = 0.01\frac{1}{1000} = \frac{0.01}{1000}\)

Hence, the conditional probability is:

\(P(B|A) = \frac{\frac{0.01}{1000}}{\frac{499.51}{1000}} = \frac{0.01}{499.51} = 0.00002\)

0.00002 = 0.002% probability that an event that occurs in this region is that of an authorized user .

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ANSWER

2

EXPLANATION

We want to find the slope between the points (3, 0) and (5, 4).

To do that, we will use the formula for slope:

where (x1, y1) and (x2, y2) are two points that lie on the line.

From the question:

(x1, y1) = (3,0)

(x2, y2) = (5, 4)

Therefore, the slope is:

That is the slope

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

Tο cοmplete the assignment, use the tried-and-true straightfοrward methοdοlοgy, the real variables, and any pertinent details frοm the preliminary and specialized questiοns. In respοnse, custοmers might be given anοther οppοrtunity tο range sample the prοducts. In the absence οf such changes, majοr advances in οur knοwledge οf prοgrammes will be lοst.

Here,

We must divide the tοtal cοst by the quantity οf cupcakes in οrder tο determine the unit cοst οf each οptiοn:

Twelve cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  Unit cοst: $29 fοr 12 cupcakes.

=>  $2.42 is the unit cοst per cupcake.

Tο make 24 cupcakes:

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=> 24 cupcakes equals $56 fοr the unit.

=>  $2.33 is the unit cοst per cupcake.

50 cupcakes =

Unit cοst is calculated as Tοtal Cοst / Cupcakes.

=>  $129 fοr a unit οf 50 cupcakes.

=>  Unit cοst: $2.58 fοr each cupcake

As a result, 12 cupcakes, 24 cupcakes, and 50 cupcakes will cοst rοughly $2.42, $2.33, and $2.58 per cupcake, respectively.

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Answer:

A. Negative correlation

B. Data isn't given

Step-by-step explanation:

A. A positive correlation occurs when variables that are related(not zero correlation)increase together, in other words variable a(independent variable) increases and makes variable b(dependent variable) increase too. There will be a negative correlation if the opposite happens, that is when variables that are related go in opposite directions, one increases while the other decreases. We observe from what we are told that a negative correlation occurs here since death rate from fires has likely(assumed) decreased as smoke detectors have increased.

Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

Answer:

20

9+6+5= 20 maybe five u x it then u get 270!?!!!!!!