PLEASE HELP! ASAP! 20 Points! And I will mark brainliest!!! I need #’s 42, 47, and 48!

The radius of a circle with an area of 289 cm² can be found by taking the square root of the area divided by π.

The area of a circle is given by the formula A = πr², where A represents the area and r represents the radius of the circle. In this case, the area is given as 289 cm². To find the radius, we rearrange the formula to solve for r.

We start by dividing both sides of the equation by π, which gives us A/π = r². Substituting the given area of 289 cm², we have 289/π = r².

To find the radius, we take the square root of both sides of the equation, which gives us √(289/π) = r.

Calculating the square root of 289 gives us 17, and the square root of π is an irrational number, approximately 1.7725. Thus, the radius of the circle is approximately 17/1.7725 = 9.59 cm.

Therefore, the radius of the circle with an area of 289 cm² is approximately 9.59 cm.

Learn more about square root here:

https://brainly.com/question/29286039

#SPJ11

Find the radius of a circle that has an area of 289 cm². 10 x cm

The minimum value of z is 17, and the optimal values of x1 and x2 are 5 and 3, respectively.

To solve the given linear programming problem using the simplex method, let's set up the initial tableau:

Cj    4   -1   0

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

       |    

  2    |   1    1   <=   8

  1    |   0    1   <=   5

  0    |   1   -2   <=   4

Here, Cj represents the coefficients of the objective function z, and the bottom row represents the right-hand side (RHS) values of the constraints.

Step 1: Select the most negative coefficient in the bottom row as the pivot column. In this case, it is -2.

Step 2: Determine the pivot row by selecting the smallest non-negative ratio from the RHS values divided by the corresponding entries in the pivot column. In this case, the smallest ratio is 4/(-2) = -2.

Step 3: Perform the pivot operation to make the pivot element (in this case, -2) equal to 1 and eliminate all other elements in the pivot column. The pivot row becomes the new row with the pivot element.

Pivot column: x2

          |  

  2    |   1    1   <=   8

  1    |   0    1   <=   5

  0    |   1   -2   <=   4

Pivot row: R2

          |  

  2    |   1    1   <=   8

  0    |   0    1   <=   3

  0    |   1   -2   <=   4

Step 4: Update the tableau by performing elementary row operations to eliminate other elements in the pivot column.

          |  

  2    |   1    1   <=   8

  0    |   0    1   <=   3

  0    |   1   -2   <=   4

R1 = R1 - R2

          |  

  2    |   1    0   <=   5

  0    |   0    1   <=   3

  0    |   1   -2   <=   4

Step 5: Check if the current solution is optimal. If there are no negative coefficients in the top row (except for z = 0), the solution is optimal. In this case, the solution is optimal since all coefficients are non-negative.

Step 6: Read the optimal solution from the tableau. The values of x1 and x2 can be found in the right-most column of the variables' columns.

Optimal solution:

x1 = 5

x2 = 3

Step 7: Calculate the value of the objective function z using the optimal solution.

z = 4x1 - x2

z = 4(5) - 3

z = 20 - 3

z = 17

Therefore, the minimum value of z is 17, and the optimal values of x1 and x2 are 5 and 3, respectively.

Learn more about  value  from

https://brainly.com/question/24078844

#SPJ11

Answer:

see below

Step-by-step explanation:

h(x) = 2x-10

Let x=3

h(3) = 2*3 -10

      = 6-10

      =4

Let x=-3

h(-3) = 2*-3 -10

      = -6-10

      =-16

Answer:

1

Step-by-step explanation:

because no number Is beside it except 1 because 1 x anything will give it back

The coefficient of the second term of the expression 3x⁴ + x² will be 1. Then the correct option is B.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The expression is given below.

⇒ 3x⁴ + x²

The number which is associated with the variable is known as the coefficient of that variable.

In the expression 3x⁴ + x², the coefficient of x⁴ is 3 and the coefficient of x² is 1.

The coefficient of the second term of the expression 3x⁴ + x² will be 1. Then the correct option is B.

More about the polynomial link is given below.

https://brainly.com/question/17822016

#SPJ5

Answer:

A: square the binomial (x + 3), distribute the negative to the binomial (x2 + 9), simplify the dividend, and then divide

Step-by-step explanation:

I just took the test

Answer:

A. square the binomial (x + 3), distribute the negative to the binomial (x2 + 9), simplify the dividend, and then divide

Step-by-step explanation:

I got 100%

Cooper's Eiffel Tower scale model is about 0.4 meters tall, rounded to the nearest tenth of a meter, using the scale factor 1:750.

The Eiffel Tower is approximately 301 meters tall. Cooper is building a scale model of it using the scale factor of 1:750. To the nearest tenth of a meter, what will be the height of the scale model?

To begin, we'll need to compute the scale factor:1:750. When we look at the scale factor, we see that the model is 750 times smaller than the actual structure.

As a result, we can divide the height of the Eiffel Tower by the scale factor to obtain the height of the scale model.301 / 750 ≈ 0.40133.

We can say that the height of the scale model will be 0.4 meters, rounded to the nearest tenth of a meter. So, Cooper's Eiffel Tower scale model will be about 0.4 meters tall.

The Eiffel Tower is approximately 301 meters tall. Cooper is building a scale model of it using the scale factor of 1:750. To the nearest tenth of a meter, what will be the height of the scale model?

The actual structure of the Eiffel Tower is incredibly tall and impressive, measuring around 301 meters high. This structure is so large that it can be challenging to fathom, and Cooper has decided to build a scale model of it to assist in better understanding it.

Cooper intends to use the scale factor 1:750, which means that the scale model will be 750 times smaller than the actual structure's size. As a result, we must compute the height of the model by dividing the height of the actual tower by the scale factor.301 / 750 ≈ 0.40133.

Since the height of the Eiffel Tower is 301 meters and the scale factor is 750, we divide the two to obtain the height of the model. When we divide, we obtain an answer of roughly 0.40133.

We can round this to the nearest tenth of a meter, which is 0.4 meters, which is Cooper's Eiffel Tower scale model's approximate height.

Cooper's Eiffel Tower scale model is about 0.4 meters tall, rounded to the nearest tenth of a meter, using the scale factor 1:750. To better understand the Eiffel Tower's sheer size and beauty, it is a fantastic idea to construct a scale model that is easier to manage and comprehend.

To know more about scale factor visit:

brainly.com/question/29464385

#SPJ11

Answer:

7. nn. jn. mm m. m .............

Answer:

In scientific notation, Earth's mass is 5.97×1024 kg. The 5.97 part is called the coefficient; the 24 is called the exponent.

Step-by-step explanation:

i dont know if this answered your question.

Answer:

the answer is A, D, and F

The numbers can be classified as rational are  56, 6.56, 0.23,0.32416 and -538.

It is required to choose the numbers can be classified as rational.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

Given:

A rational number can be expressed as p/q, where p and q are both integers and q ≠ 0. Some of the examples of rational numbers include 1/3, 2/4, 1/5, 9/3, and so on. if it is a decimal number then it should not be repeating and terminating. Therefore, all the rational numbers are 56, 6.56, 0.23,0.32416 and -538.

Therefore, the numbers can be classified as rational are  56, 6.56, 0.23,0.32416 and -538.

Learn more details about Real numbers here:

https://brainly.com/question/551408

#SPJ2

Answer:

[tex]y=-x^2+12x-27[/tex]

Step-by-step explanation:

The general equation of the parabola is [tex]y=ax^2+bx+c[/tex]

As the parabola passes through [tex](3,0),(9,0)[/tex]

[tex]0=9a+3b+c\,\,\,...(i)\\0=81a+9b+c\,\,\,...(ii)[/tex]

Subtract (i) from (ii)

[tex](81a+9b+c)-(9a+3b+c)=0\\72a+6b=0\\12a+b=0\\b=-12a[/tex]

Also, the parabola passes through [tex](10,-7)[/tex],

[tex]-7=100a+10b+c\,\,\,...(iii)[/tex]

Subtract (i) from (iii)

[tex](100a+10b+c)-(9a+3b+c)=-7-0\\91a+7b=-7[/tex]

Put [tex]b=-12a[/tex]

[tex]91a+7(-12a)=-7\\91a-84a=-7\\7a=-7\\a=-1[/tex]

Put [tex]a=-1[/tex] in [tex]b=-12a[/tex]

[tex]b=-12(-1)=12[/tex]

Put [tex]a=-1,b=12[/tex] in (i)

[tex]0=9a+3b+c\\0=-9+36+c\\0=27+c\\c=-27[/tex]

So, equation is [tex]y=-x^2+12x-27[/tex]

The equation of the parabola is y = -x² + 12x - 27

Parabola is the locus of a point such that the same distance from a fixed line, called the directrix, and a fixed point (the focus) is the same.

The equation of a parabola is in quadratic form. Hence it is given as:

y = ax² + bx + c

At point (3, 0):

0 = a(3²) + b(3) + c

9a + 3b + c = 0      (1)

At point (9, 0):

0 = a(9²) + b(9) + c

81a + 9b + c = 0      (2)

At point (10, -7):

-7 = a(10²) + b(10) + c

100a + 10b + c = -7      (3)

Solving equations 1, 2, 3 gives: a = -1, b = 12, c = -27

The equation of the parabola is hence y = -x² + 12x - 27

Find out more at: https://brainly.com/question/21685473

Answer:

7.6 liters

Step-by-step explanation:

The required converted value is 7.6 liters, which is 8 quarts into liters.

To convert 8 quarts into liters, we can use the following conversion factors:

1 quart (qt) = 4 cups (cups)

1 cup (cup) = 8 fluid ounces (fl oz)

1 fluid ounce (fl oz) = 29.574 milliliters (mL)

1 liter (L) = 1000 milliliters (mL)

First, let's convert quarts to cups:

8 quarts x 4 cups/quart = 32 cups

Next, convert cups to fluid ounces:

32 cups x 8 fl oz/cup = 256 fl oz

Now, convert fluid ounces to milliliters:

256 fl oz x 29.574 mL/fl oz = 7570.94 mL

Finally, convert milliliters to liters:

7570.94 mL / 1000 mL/L = 7.57094 L

Rounded to the nearest tenth, 8 quarts is approximately 7.6 liters.

Learn more about the unit conversion here:

brainly.com/question/3810064

#SPJ6

The complete question is as follows:

Convert 8 quarts into liters. Round your answer to the nearest tenth

*Note: you must use these exact conversion factors to get this question right.

1 cup (cup) = 8 fluid ounces (fl oz)

1 liter (L) 1000 milliliters (mL)

1 pint (pt) = 2 cups (cups)

1 cubic meter (m³) = 1000 liters (L)

1 quart (qt) = 2 pints (pt)

1 gallon (gal) = 3.785 liters (L)

1 gallon (gal) = 4 quarts (qt)

1 fluid ounce (fl oz) = 29.574 milliliters (ml)

1 cubic foot (ft³) = 7.481 gallons (gal)

Answer:

2.08 this is answer

Given[tex]sin(theta) = -3/7 and tan(theta) > 0[/tex].The value of sin(theta) is negative and the value of tan(theta) is positive. We know that sin(theta) = opposite/hypotenuse and tan(theta) = opposite/adjacent.

In this case, we can use the Pythagorean theorem to find the value of the adjacent side of the triangle formed.Using the Pythagorean theorem, we can find the value of the adjacent side:

[tex]7² - 3² = 40Adjacent = √40 = 2√10[/tex]

The six trigonometric values are:

[tex]sin(theta) = -3/7, \\cos(theta) = 2√10/7,\\ tan(theta) = -3/2√10, \\csc(theta) = -7/3, \\sec(theta) = 7/2√10, \\cot(theta) = -2√10/3[/tex]

The value of sin(theta) is negative, which means that the angle is in the third or fourth quadrant. Since the value of tan(theta) is positive, the angle must be in the fourth quadrant. Using the coordinates on the unit circle, we can find the corresponding point.

We know that sin(theta) = y and cos(theta) = x. Plugging in the values we get:

[tex]sin(theta) = -3/7 and cos(theta) = 2√10/7[/tex]

The corresponding point on the unit circle is (2√10/7, -3/7)

Therefore, the six exact trigonometric values are:

sin(theta) = -3/7, cos(theta) = 2√10/7, tan(theta) = -3/2√10, csc(theta) = -7/3, sec(theta) = 7/2√10, cot(theta) = -2√10/3.

The angle is in the fourth quadrant and the corresponding point on the circle is (2√10/7, -3/7).

To know more about Pythagorean theorem  visit :

https://brainly.com/question/14930619

#SPJ11

Answer:

I believe it's Syllogism

Step-by-step explanation:

Answer:

B. (-2, -1)

Step-by-step explanation:

Step-by-step explanation:

Answer option B - ( -2, -1)

Answer:x in (-oo:+oo)

(7/2)*x+(1/2)*x = (5/2)*x+101/2 // - (5/2)*x+101/2

(7/2)*x+(1/2)*x-((5/2)*x)-(101/2) = 0

(7/2)*x+(1/2)*x+(-5/2)*x-101/2 = 0

3/2*x-101/2 = 0 // + 101/2

3/2*x = 101/2 // : 3/2

x = 101/2/3/2

x = 101/3

x = 101/3

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

To compute a heaviest Longest Increasing Subsequence (LIS) in a given sequence efficiently with a time complexity of O(n), we can use the concept of dynamic programming.

The algorithm follows these steps: 1. Initialize two arrays, "lis" and "sum," both of size n, where n is the length of the sequence. The "lis" array will store the length of the LIS ending at each element, and the "sum" array will store the maximum sum of the LIS ending at each element.

2. Initialize the "lis" and "sum" arrays with values of 1 and the corresponding element values of the sequence, respectively.

3. Traverse the sequence from left to right. For each element, compare it with all previous elements. If the current element is greater than the previous element and the sum of the LIS ending at the previous element plus the current element is greater than the sum at the current element, update the "lis" and "sum" arrays accordingly.

4. Finally, find the element in the "sum" array with the maximum value and trace back the LIS by following the indices stored in the "lis" array.

By following these steps, we can compute a heaviest LIS in linear time, O(n), where n is the length of the input sequence. The dynamic programming approach allows us to efficiently update and store the necessary information for calculating the maximum sum.

Learn more about sum here: brainly.com/question/29334900

#SPJ11

Answer:

4 years

Step-by-step explanation:

FYI this sounds like a personal problem

Answer:

more info

Step-by-step explanation:

we need more info for these questions or we will just get confused

Answer:

See explanation

Step-by-step explanation:

Step 1: Write equation

n - 4 = -15

Step 2: Solve for n

n = -11

Answer:

the answer is a

Step-by-step explanation:

The second fundamental form of the paraboloid parameterization is computed by finding the coefficients L, M, and N using the derivatives of the position vector. The normal curvature of the circle on the paraboloid is given by (2 sin t) / √(1 + 4u² + 4v²), while the geodesic curvature is zero..

1. To find the second fundamental form of the paraboloid parameterization, we start by computing the partial derivatives of the position vector o(u, v) with respect to u and v. The first-order partial derivatives are:

o_u = (1, 0, 2u)

o_v = (0, 1, 2v)

Next, we compute the coefficients of the second fundamental form using the following formula:

L = o_{uu} ⋅ N, M = o_{uv} ⋅ N, N = o_{vv} ⋅ N

where N is the unit normal vector. Taking the cross product of o_u and o_v, we find that N = (2u, 2v, -1) / √(1 + 4u² + 4v²). Evaluating the partial derivatives of N, we obtain:

N_u = (2, 0, -4u) / √(1 + 4u² + 4v²)

N_v = (0, 2, -4v) / √(1 + 4u² + 4v²)

Substituting the values into the formula, we have:

L = (1, 0, 2u) ⋅ (2u, 2v, -1) / √(1 + 4u² + 4v²)

M = (1, 0, 2u) ⋅ (0, 2, -4v) / √(1 + 4u² + 4v²)

N = (0, 1, 2v) ⋅ (0, 2, -4v) / √(1 + 4u² + 4v²)

Simplifying the dot products, we get:

L = 2u / √(1 + 4u² + 4v²)

M = -4v / √(1 + 4u² + 4v²)

N = -4u² - 4v² / √(1 + 4u² + 4v²)

Therefore, the second fundamental form of the paraboloid parameterization is given by:

II = [L, M; M, N]

2. To compute the normal curvature and geodesic curvature of the circle (t) = (sin t, cos t, 1) on the paraboloid, we substitute the circle's parametric equations into the formulas for normal curvature and geodesic curvature.

The normal curvature (k_n) is given by the formula:

k_n = (o_{uu} ⋅ T) / |o_u|

where T is the unit tangent vector of the curve. Evaluating the derivatives and simplifying, we find:

o_{uu} = (0, 0, 2)

o_u = (1, 0, 2u)

T = (sin t, cos t, 0) / √(sin² t + cos² t + 4u²)

o_{uu} ⋅ T = 2 sin t / √(sin² t + cos² t + 4u²

)

|o_u| = √(1 + 4u²)

Hence, the normal curvature becomes:

k_n = (2 sin t) / √(1 + 4u² + 4v²)

The geodesic curvature (k_g) is given by the formula:

k_g = (o_{tt} ⋅ N) / |o_t|

where o_t is the derivative of the position vector o with respect to t. Evaluating the derivative and simplifying, we find:

o_{tt} = (0, 0, 0)

o_t = (cos t, -sin t, 0)

N = (2u, 2v, -1) / √(1 + 4u² + 4v²)

o_{tt} ⋅ N = 0

|o_t| = 1

Therefore, the geodesic curvature is zero:

k_g = 0

the second fundamental form of the paraboloid parameterization is computed by finding the coefficients L, M, and N using the derivatives of the position vector. The normal curvature of the circle on the paraboloid is given by (2 sin t) / √(1 + 4u² + 4v²), while the geodesic curvature is zero.

Learn more about coefficients here:

https://brainly.com/question/1594145

#SPJ11

Answer:

Option c- should have added from both sides

k= 9.7

Step-by-step explanation: I dont know if i am right but hope it is xd

To create the payoff table, we need to consider the different combinations of order quantities and demand scenarios and calculate the corresponding profits or losses. The table will have rows representing the order quantities (20, 40, and 60) and columns representing the demand scenarios (20, 30, 40, and 50).

For each combination, we calculate the profit or loss based on the given costs and selling prices. If the order quantity is greater than the demand, the excess bicycles will be sold at the sale price. If the order quantity is less than the demand, there will be unmet demand In the table, the numbers represent the profit or loss in dollars. Negative numbers indicate losses, and positive numbers indicate profits. The values are calculated by multiplying the difference between the selling price and the cost per bicycle by the demand probability for each scenario. By analyzing the payoff table, Zed and Adrian can determine the order quantity that maximizes their expected profit or minimizes their expected loss based on the probabilities and associated payoffs.

Learn more about demand probability here: brainly.com/question/32966476

#SPJ11

Answer:

x = 15

Step-by-step explanation:

add 5 on both sides

subtract 2 on both sides

divide 1 on both sides

then x = 15

The similarity theorem used for this problem is given as follows:

A. SAS theorem.

The Side-Angle-Side (SAS) congruence theorem states that if two sides of two similar triangles form a proportional relationship, and the angle measure between these two triangles is the same, then the two triangles are congruent.

The sides forming a proportional relationship are given as follows:

The angle of 50º between these two sides also forms a proportional relationship, hence the SAS theorem can be used.

More can be learned about congruence theorems at brainly.com/question/3168048

#SPJ1

Answer:

I

Step-by-step explanation:

I am not sure but I will tell if u would like me to say