One of the angles of an isosceles triangle is 800. Find the other two angles
which are equal.

Answer: x = 30

Step-by-step explanation:

Answer:

=2156d+2772

Step-by-step explanation:

The approximate probability that a student chooses a computer elective and an art elective is 0.22727.

To calculate the probability, we need to find the ratio of favorable outcomes (students choosing a computer elective and an art elective) to the total number of possible outcomes.

The number of computer electives is 5, and the number of art electives is 3. Since each student can choose two electives, we can calculate the total number of possible outcomes by multiplying the number of computer electives by the number of art electives:

Total number of possible outcomes = 5 * 3 = 15

The number of favorable outcomes is the number of ways a student can choose one computer elective and one art elective, which is the product of the number of computer electives and the number of art electives:

Number of favorable outcomes = 5 * 3 = 15

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 15 / 15

Probability = 1

However, it's important to note that the given options for the probability (0.11364, 0.21212, 0.22727, 0.42424) are all rounded approximations. Among these options, the closest approximate probability to the actual probability of 1 is 0.22727.

Therefore, the approximate probability that a student chooses a computer elective and an art elective is approximately 0.22727.

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According to the concept of inequality, the maximum value of A is obtained when a = 2 and c = 28.

Let's assume that each minute of advertising attracts 40,000 viewers and each minute of comedy attracts 45,000 viewers. Therefore, the total audience (in thousands) that can be reached is given by:

A = 40a + 45c

Firstly, we know that the total time allotted for advertising and comedy cannot exceed 30 minutes. Therefore, we can rewrite the inequality as:

a + c ≤ 30

Solving for c, we get:

c ≤ 30 - a

Now, we can substitute this expression for c in the equation for A:

A = 40a + 45c

A = 40a + 45(30 - a)

A = 1350 - 5a

To maximize A, we need to find the value of a that will result in the maximum value of A. Taking the derivative of A with respect to a and setting it equal to zero, we get:

dA/da = -5 = 0

a = 0

This does not make sense, as a cannot be zero. Therefore, we need to check the endpoints of the interval [2,4] to see if they give a maximum value for A.

When a = 2, we get:

A = 40(2) + 45c

A = 80 + 45c

Substituting c = 30 - a, we get:

A = 80 + 45(30 - 2)

A = 80 + 1350

A = 1430

When a = 4, we get:

A = 40(4) + 45c

A = 160 + 45c

Substituting c = 30 - a, we get:

A = 160 + 45(30 - 4)

A = 160 + 1215

A = 1375

This means that the producer should allocate 2 minutes for advertising and 28 minutes for the comedy program in order to maximize the number of viewers.

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Answer:

y = 7/2x - 5/2 ; gradient is 7/2

y = 5/3x - 4/3 ; gradient is 5/3

y = -2/3x - 10/3; gradient is -2/3

Step-by-step explanation:

2y = 7x-5

5x - 3y=4

10 - 2x+3y = 0

NOTE: The gradient is the slope

The coordinates of point A is: (-2, 5)

The equation of line L, in slope-intercept form, is: y = 1/2x + 2

In slope-intercept form, the equation of a straight line is given as, y = mx + b, where:

The coordinates of point A is: (-2, 5)

Slope (m) of line L = 2/4 = 1/2.

y-intercept (b) = 2

The equation of line L will be:

y = 1/2x + 2.

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Answer:

y = 12x - 8

Step-by-step explanation:

m = 12

b = -8

just divide inside the bracket

Answer:

D

Step-by-step explanation:

I cannot assure you this, because it is extremely hard for me too. It is my best guess.

Plz mark as brainliest!!!

The mood of the argument is categorical and the figure is EIO. To determine the mood and figure of the given argument, we'll first identify the premises and conclusion, and then assign the appropriate categorical proposition to each statement.

The argument can be rewritten as:

Premise 1: Some dictators are not warmongers. (Some D are not W)
Premise 2: No dictators are egomaniacs. (No D are E)
Premise 3: Some egomaniacs are warmongers. (Some E are W)
Conclusion: Some dictators are not warmongers. (Some D are not W)

Now, let's assign the categorical propositions to each statement:
Premise 1: I (Some D are not W)
Premise 2: E (No D are E)
Premise 3: I (Some E are W)
Conclusion: O (Some D are not W)

The mood of the argument is IEO.

Next, we'll determine the figure by looking at the placement of the middle term (E) in the premises:
Premise 2: No D are E (subject-middle term)
Premise 3: Some E are W (middle term-predicate)

The figure is 1 because the middle term is the subject of one premise and the predicate of the other premise.

So, the mood and figure of the argument are IEO-1. Therefore, the correct answer is:

IEO - 1

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According to the solution we have come to find that, The two errors that Emma made are: She should have used division to represent the quotient of six and x and she should have used parentheses to show that Negative 2 is multiplied by (x minus 4.5).

Division is a mathematical operation that is the opposite of multiplication. It involves dividing a number (the dividend) by another number (the divisor) to find how many times the divisor can fit into the dividend.

The two errors that Emma made are:

The correct translation of the statement is:

6 ÷ x = -2(x - 4.5)

The division symbol should be used to represent the quotient of six and x, and parentheses should be used to show that negative 2 is multiplied by (x - 4.5) instead of just x.

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Answer: A and C are the two options

The first constraint is a linear equation that relates the variables x1, x2, and x3, and the second constraint is an inequality constraint involving x1 and x2The given problem is a linear programming problem in its primal form.

The objective is to maximize the expression z = 7x1 - 5x2 - 2x3, subject to two constraints.. The goal is to find the values of x1, x2, and x3 that maximize the objective function while satisfying the given constraints.

In the primal problem, the objective is to maximize the expression z, which is a linear combination of the decision variables x1, x2, and x3. The coefficients 7, -5, and -2 represent the weights assigned to each variable in the objective function. The constraints represent the relationships and limitations imposed on the variables. The first constraint is an equality constraint, which means that the left-hand side of the equation must equal the right-hand side. The second constraint is an inequality constraint, indicating that the value of the expression 2x1 + x2 must be less than or equal to a certain value.

To solve this linear programming problem, various optimization techniques such as the simplex method or interior point methods can be applied. These methods iteratively adjust the values of the decision variables to find the optimal solution that maximizes the objective function while satisfying the given constraints. By solving the primal problem, the values of x1, x2, and x3 can be determined, leading to the maximum value of the objective function z.

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Answer:777

Step-by-step explanation:888

The equation which we can use to find the length "s" of long piece of string before Diana cuts it is (a) 8s = 1.25.

In order to find the length "s" of the long piece of string, we need to multiply the length of each of the 8 equal pieces of string by 8, because they are all cut from the same long piece of string.

So, the equation we can use to find the length s of the long piece of string before Diana cuts it is:

⇒ 8 × 1.25 = s,

Simplifying the equation:

We get,

⇒ 10 = s

Therefore, the correct equation is option(a) 8s = 1.25.

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The given question is incomplete, the complete question is

Diana is a junior counselor at Cactus Ville craft camp. One day, Diana's campers make lanyard keychains out of plastic string. For each keychain, Diana cuts a long piece of string into 8 equal pieces. Each piece is 1. 25 feet long.

Which equation can you use to find the length s of the long piece of string before Diana cuts it?

(a) 8s = 1.25

(b) s - 8 = 1.52

(c) s + 8 = 1.25

(d) s/8 = 1.25

The answer to the question "difference of -72 and a product of -720?" is -9.

To find the sum of the two numbers, we can set up the following equations based on the given information:

Let the two numbers be x and y, where x > y.

x - y = -72 (since the difference between the numbers is -72)

xy = -720 (since the product of the numbers is -720)

We can solve these equations simultaneously using algebraic methods. One way to do this is to isolate one of the variables in one of the equations and substitute it into the other equation. For example, we can isolate y in the first equation by rearranging it to y = x + 72, and then substitute this into the second equation:

x(x + 72) = -720

Expanding the left-hand side, we get:

x^2 + 72x = -720

Rearranging the equation, we get:

x^2 + 72x + 720 = 0

Now we can solve for x using the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

where a = 1, b = 72, and c = 720. Plugging in these values, we get:

x = (-72 ± √(72^2 - 4(1)(720))) / (2(1))

Simplifying further, we get:

x = (-72 ± √(5184 - 2880)) / 2

x = (-72 ± √2304) / 2

x = (-72 ± 48) / 2

Now we have two possible values for x:

x1 = (-72 + 48) / 2 = -12

x2 = (-72 - 48) / 2 = -60

Since x > y, we take x = -12 and y = -72 - (-12) = -60 + 12 = -48.

Thus, the sum of the two numbers is -9, which is obtained by adding x and y:

-12 + (-48) = -9.

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Answer:

259.5

Step-by-step explanation:

8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5

Answer:

the only thing you need to get is the angle , then after getting it you use the formula to solve .hope this helps man lmk if u didn't understand anything

Answer:

Step-by-step explanation:

To find the area of a regular polygon with a given radius of 14 units, we need to know the number of sides in the polygon. Let's assume that the number of sides is not given.

To find the number of sides, we can use the formula for the perimeter of a regular polygon:
perimeter = 2 * n * r * sin(pi/n)

where n is the number of sides, r is the radius, and pi is the mathematical constant pi (approximately 3.14159).

We can rearrange this formula to solve for n:

n = pi / arcsin(perimeter / (2 * r * pi))

Once we know n, we can use trigonometry to calculate the length of each side:

s = 2 * r * sin(pi/n)

Then we can find the apothem:

apothem = r * cos(pi/n)

Finally, we can use the formula for the area of a regular polygon:

area = (1/2) * n * s * apothem

to calculate the area of the polygon.

Let's say that the radius of the polygon is 14 units and the perimeter is 100 units. We can first find the number of sides:

n = pi / arcsin(perimeter / (2 * r * pi)) = pi / arcsin(100 / (2 * 14 * pi)) = 7.28 (rounded to two decimal places)

Since the number of sides must be a whole number, we can round this to the nearest integer to get the actual number of sides, which is 7.

Now we can find the length of each side:

s = 2 * r * sin(pi/n) = 2 * 14 * sin(pi/7) = 22.98 units (rounded to two decimal places)

We can also find the apothem:

apothem = r * cos(pi/n) = 14 * cos(pi/7) = 12.11 units (rounded to two decimal places)

Finally, we can calculate the area:

area = (1/2) * n * s * apothem = (1/2) * 7 * 22.98 * 12.11 = 935.33 square units (rounded to two decimal places). Therefore, the area of the regular polygon with a radius of 14 units and a perimeter of 100 units is approximately 935.33 square units.

Answer:

6.5 gallons

Step-by-step explanation:

if u see we have to divided 13 by 2 to see how much each bowl will have

13/2= 6.5 gallons

Answer:

A.   4.5 ft

B.    4 ft

C.    1 ft

Step-by-step explanation:

If you pretend that h is replacing y and d is replacing x and you would graph the equation, then you would get a parabola that opens down.

You would need to find the vertex of the parabola.  The ordered pairs would be (d, h) instead  of the normal (x, y).  

A.  The maximum height will be the h value of the vertex

B.   Let h = 0 and solve the equation for d.  That will give you distance from the stump that the frog landed.

C.  The distance from the log at the maximum height is the d value of the vertex

So, that is what is needed to be done.

Without me going thru all the work, the vertex is (1, 4.5) and the solutions to the equation when h = 0 are 4, -2  (discard -2 since a distance cannot be negative)

So the answer to A is 4.5 ft.

The answer to B is 4ft.

The answer to C is 1 ft.

Now, can you find the vertex on your own and can you solve the equation when h = 0?  I hope so.  OK?

A function assigns the values. The maximum height will be when the horizontal distance is 1feet from the log.

A function assigns the value of each element of one set to the other specific element of another set.

A.) The maximum height of the frog,

h = -0.5d²+d+4

dh/dd = -0.5(2d)+1

dh/dd = -d+1

0=-d+1

d = 1

The maximum height will be when the horizontal distance is 1feet from the log.

h = -0.5(1)² + 1 + 4

h = -0.5 + 1 + 4

h = 4.5

Hence, the maximum height of the frog will be 4.5 feet.

B.) The Distance between the frog and the stump when the frog land can be found,by putting h=0.

0 = -0.5(d)²+ d + 4

d²-2d-8=0

d²-4d+2d-8=0

d(d-4)+2(d-4)=0

d = 4, -2

Since the distance can not be negative, the frog is 4 feet away from the stump when the frog land.

C.) The maximum height will be when the horizontal distance is 1feet from the log.

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A residual in regression refers to the difference between the observed value and the predicted value of the dependent variable. It represents the unexplained portion of the data that the regression model fails to capture.

In regression analysis, the goal is to build a model that can predict the value of a dependent variable based on one or more independent variables. The model estimates the relationship between the independent variables and the dependent variable by fitting a line or curve through the data points. However, due to inherent variability or noise in the data, the model may not perfectly predict the observed values of the dependent variable.

Residuals are used to measure the accuracy of the regression model. They represent the vertical distance between the observed values and the corresponding predicted values on the regression line. A positive residual indicates that the observed value is higher than the predicted value, while a negative residual indicates the opposite. By calculating the residuals for each data point and examining their distribution, we can assess how well the regression model fits the data.

Analyzing the residuals can guide model improvements, such as identifying outliers, heteroscedasticity, or nonlinear relationships, and can also be used to assess the statistical assumptions of the regression model, such as independence, normality, and constant variance.

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Answer:

y=-2x-13

Step-by-step explanation:

y=mx+b

3=-2(-8)+b

3=16+b

3-16=b

-13=b

Answer:

0.0000614

Step-by-step explanation:

Since it’s a -5 it’s 5 places back

Hope this helps! ;-)

Carmen needs (6/7) cups of strawberry frosting and (1 1/7) cups of lemon frosting to make 2 cups of the frosting mixture.

To determine the amount of strawberry frosting and lemon frosting that Carmen needs to make 2 cups of the frosting mixture, we need to use a proportion.

Let x be the amount of strawberry frosting needed in cups, and y be the amount of lemon frosting needed in cups.

From the given information, we know that Carmen mixed 1/4 cup of strawberry frosting with 1/3 cup of lemon frosting. Thus, the ratio of the amounts of strawberry frosting to lemon frosting is:

x/y = (1/4)/(1/3)

Simplifying this ratio, we get:

x/y = 3/4

We also know that the total amount of frosting needed is 2 cups, so:

x + y = 2

Using substitution, we can solve for x:

x + (4/3)x = 2

(7/3)x = 2

x = (6/7) cups

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The solutions of linear equations are x = t and y = (3 - 5t)/2 for infinitely many solutions when k = 10.

The value of k for which the system of linear equations has infinitely many solutions, we need to find the condition under which the equations are dependent. Here are the equations:
1) 5x + 2y = 3
2) kx + 4y = 6
3) 20x + 8y = 12
First, let's express equation 1 in terms of y and make it match the form of equation 2:
y = (3 - 5x)/2
Now, substitute this expression into equation 2:
kx + 4((3 - 5x)/2) = 6
Simplify:
kx + 6 - 10x = 6
Now, let's express equation 3 in terms of y:
y = (12 - 20x)/8
Simplify:
y = (3 - 5x)/2
This is the same as the expression we found for equation 1, so the system is dependent.

To find the value of k, we'll set the simplified versions of equations 1 and 2 equal to each other:
kx - 10x = 0
Factor out x:
x(k - 10) = 0
For infinitely many solutions, k must be equal to 10. So, the system of equations becomes:
1) 5x + 2y = 3
2) 10x + 4y = 6
Now we can solve for the solutions in terms of the parameter t:
For this equation to be true, we must have k = 10. So, substituting k = 10 in the original equations, we have: 5x + 2y = 3 10x + 4y = 6 Dividing the second equation by 2, we get: 5x + 2y = 3

We can see that the two equations are identical, which means that any values of x and y that satisfy one equation will automatically satisfy the other equation. Therefore, the solutions to the system are given by: x = t y = (3-5t)/2 where t is any real number.
x = t
y = (3 - 5x)/2
y = (3 - 5t)/2
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The point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).

To find all the points in the form (1, y, z) that are equivalent to the points (2, -1, 0) and (0, -2, 1), we can use the concept of vector equivalence.

Let's consider the vector from (1, y, z) to (2, -1, 0). This vector is (2-1, -1-y, 0-z) = (1, -1-y, -z).

Similarly, the vector from (1, y, z) to (0, -2, 1) is (0-1, -2-y, 1-z) = (-1, -2-y, 1-z).

Since these two vectors are equivalent, we can set them equal to each other:

(1, -1-y, -z) = (-1, -2-y, 1-z)

Simplifying this equation, we get:

y - z = 0

2y + 3z = 3

Therefore, all points in the form (1, y, z) that are equivalent to the given points are given by the equations:

y = z

2y + 3z = 3

Solving this system of equations, we get:

y = 3/5

z = 3/5

So the point in the form (1, y, z) that is equivalent to the given points is (1, 3/5, 3/5).

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The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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Answer:

Answer: 27:8

Step-by-step explanation:

There are 24 + 16 + 14 = 24+16+14= 54

54 marbles in total.

The ratio of total marbles to red marbles is 54 : 16, which simplifies to 27 : 8.

Answer: 27:8

Answer:

2 Tablespoons make 4 cups. Popcorn pops to 40 times its original size. One ounce. 2 Tablespoons of kernels makes about 4 cups of popcorn. Four cups of popcorn have 125 calories :))

Authors note:

I really hoped this helped! :)))