Does 2x+4=3x+1/2 have one solution or more or none?

perpendicular bisector

the bisector divided the base side into two congruent parts; which makes it a BISECTOR.

it's also perpendicular, as you can see from the little box next to it.

so it's a perpendicular bisector :)

hope this helps!!

Answer:

altitude  because look at the pic

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

\(\sqrt{32*2^5} \\\sqrt{32*32} \\\sqrt{1024} \\32\)

Answer:

here!

\(\sqrt{32*2^{2} } =32\)

Step-by-step explanation:

hope it helps....

Using simple mathematical operations, we know that Bobby buys 5.5 pounds of ribs for $19.25.

Indicates a mathematical operation, akin to the superposition principle, where the action on the sum of two functions is equal to the sum of the actions of the operation on each function (e.g., differentiation, multiplication by a constant).

So, we know that:

The ribs are for sale at $3.50 per pound.

Bobby buys 5.5 pounds of ribs.

Then, the amount bobby spends on ribs will be:

5.5 * 3.50

$19.25

Therefore, using simple mathematical operations, we know that Bobby buys 5.5 pounds of ribs for $19.25.

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Answer:

third function: first domain

first function: second domain

last function: third domain

second function: last domain

a) The probability that a randomly selected adult man's weight exceeds 200 pounds is 1/3.

b) The mean of the sum of their weights will be 3 times the mean weight of an individual man, or 570 pounds.

The standard deviation of the sum will be 52.36 pounds.

c) The mean weight of the 3 men will be 570 pounds, and the standard deviation will be 52.36 pounds.

d) The mean weight of the total weight of the elevator car and 3 men will be 2870 pounds. The standard deviation will be is 52.36 pounds.

Probability can be calculated using various methods, depending on the nature of the event and the information available. For example, if an event has two equally likely outcomes, such as flipping a coin, the probability of either outcome occurring is 0.5, or 50%. If an event is influenced by random variables, such as rolling a die, the probability of a particular outcome occurring can be calculated using probability distributions and statistical methods.

a) To find the probability that a randomly selected adult man's weight exceeds 200 pounds, we need to use the standard normal distribution and the z-score formula:

z = (x - mean) / standard deviation

Plugging in the values, we get:

z = (200 - 190) / 30 = 10/30 = 1/3

b) In random samples of 3 men, the mean of the sum of their weights will be 3 times the mean weight of an individual man, or 3 * 190 = 570 pounds.

The standard deviation of the sum will be the square root of the number of men, multiplied by the standard deviation of an individual man's weight. In this case, the standard deviation of the sum will be the square root of 3, multiplied by 30 pounds, or 30 * sqrt(3) = 52.36 pounds.

c) To find the probability that 3 randomly selected men will exceed the maximum weight capacity of the elevator, we need to use the normal distribution again. The mean weight of the 3 men will be:

3 * 190 = 570 pounds, and the standard deviation will be 52.36 pounds as calculated above.

We can use the z-score formula again to find the probability that the total weight of the 3 men exceeds 600 pounds:

z = (600 - 570) / 52.36 = 30/52.36 = 5/8.875 = 0.56

d) The mean weight of the total weight of the elevator car and 3 men will be 2300 + 570 = 2870 pounds. The standard deviation will be the same as the standard deviation of the sum of the weights of the 3 men, which is 52.36 pounds.

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The probability that the difference is at least as large as the value the attendant observes is 0.3174.

To find the probability that the difference in NOX levels between two randomly chosen cars of this type is at least as large as the value observed by the test station attendant, we need to calculate the probability of the difference being greater than or equal to the observed difference.

Given that the NOX levels follow a Normal distribution with a mean of 1.4 grams/mile and a variance of 0.09 grams/mile^2, we can use these parameters to standardize the data and calculate the probability using z-scores.

First, we calculate the standard deviation (σ) by taking the square root of the variance: σ = √(0.09) = 0.3 grams/mile.

Next, we calculate the z-score for each observed value:

z1 = (1.1 - 1.4) / 0.3 = -1,

z2 = (1.9 - 1.4) / 0.3 = 1.67.

Now, we find the probability of the difference being at least as large as the observed value by finding the area under the standard normal curve corresponding to z ≥ 1 or z ≤ -1.

P(z ≥ 1 or z ≤ -1) = P(z ≥ 1) + P(z ≤ -1).

Using a standard normal distribution table or a calculator, we can find the probabilities:

P(z ≥ 1) ≈ 0.1587,

P(z ≤ -1) ≈ 0.1587.

Therefore, P(z ≥ 1 or z ≤ -1) ≈ 0.1587 + 0.1587 = 0.3174.

Thus, the probability that the difference in NOX levels between two randomly chosen cars of this type is at least as large as the value observed by the test station attendant is approximately 0.3174 or 31.74%.

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Step-by-step explanation:

Area of the square:

a^2: 4^2=16in^2

Area of the circle:

πr^2: π(4.5)^2= 63.6

Area of white part:

63.6 - 16 = 47.6

Probability of landing on square:

16/63.6 = 0.25

Probability of landing on white part:

63.6/16 = 3.975

Individuals are often accurate in predicting what would make them happy.

The correct option is B.

Happiness is a feeling of contentment, that life is just as it should be. Perfect happiness, enlightenment, comes when you have all of your needs satisfied. While the perfect happiness of enlightenment may be hard to achieve, and even harder to maintain, happiness is not an either /or case.

The statements that are considered truly related to happiness are as follows;

Hence, Individuals are often accurate in predicting what would make them happy.

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Answer:

B. Individuals are often accurate in predicting what would make them happy.

Explanation:

Edge 2022

Answer:

On average, 2 out of 10 adults visited the museum most frequently

Step-by-step explanation:

The value of x in terms of l is.

\(x=\sqrt{5l^{2} }\)

A fundamental relationship in Euclidean geometry between  a right triangle's three sides is known as the Pythagorean theorem, or Pythagoras' theorem. The area of the square whose side is the hypotenuse is said to be equal to the total of the areas of the squares on the other two sides.

length = \(l\)

width= \(2l\)

diagonal = \(x\)

We would get a right angle triangle if we were to cut a part across the diagonal. The Pythagoras Theorem can be used to solve the right angle triangle.

\(x^{2} =a^{2} +b^{2}\)

using this formula substituting the value:

\(x^{2} =l^{2} +2l^{2}\)

\(x^{2} =l^{2} +4l^{2} \\x^{2} =5l^{2} \\x=\sqrt{5l^{2}} \\\)

from the above calculation we have:

\(x=\sqrt{5l^{2} }\)

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If someone wants the product of two line segments to be represented as another line segment, they can make use of similar triangles

The correlation between the lengths of line segments can be established by creating a geometric shape comprising of two triangles that are identical and share one side.

If the legs of the triangles are used to represent the two line segments and their shared side represents the resulting line segment, it is possible for the lengths to be proportional through the similarity of the triangles.

To represent the product of the two original line segments, it is necessary to ensure that they and the resulting line segment are a collection of similar triangles. This is because the length of the resulting line segment can represent the product of the initial segments.

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The temperature at the point where the clouds begin to form is 77.65 °F

Given: The starting point is 1234 feet and air temperature is 79.4°F

You climb to where you notice clouds beginning to form.It can be observed that the temperature decreases by 3.5°F per 1000 feet as we go up.

Using this information, we can calculate the temperature at the point where the clouds start forming.

Let the height of the point where clouds begin to form be x feet above the starting point. As per the question, the temperature decreases by 3.5°F per 1000 feet as we go up.

Therefore, the temperature at the height of x feet can be calculated as:

T(x) = T(1234) - 3.5/1000 * (x - 1234)°F , where

T(1234) = 79.4°F

Substituting the value of x = 1234 + 500, (as we need to know the temperature at the point where clouds begin to form) we get:

T(1734) = T(1234) - 3.5/1000 * (1734 - 1234) °F

= 79.4 - 3.5/1000 * 500 °F

= 79.4 - 1.75 °F

= 77.65 °F

Therefore, the temperature at the point where the clouds begin to form is 77.65 °F

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Answer:

39 apples

Step-by-step explanation:

45 is 3/4 or 75% of an hour. So, multiply 52 by 75% to find the answer.

75% ÷ 100 = 0.75

52 x 0.75 = 39

The rate of change of income with respect to number of years of education when x=10 is 1943.64.

Given function isy=5x7/2+5300 for 4≤x≤16.

The derivative of the given function isy'=dy/dx=35x5/2 = 1225√x / 2

So, the rate of change of income with respect to number of years of education is dxdy = 1225√x / 2

Also, when x=10, the rate of change of income with respect to number of years of education is given as

dxdy = 1225√10 / 2

Now, simplify the above expression dxdy=1225√10 / 2= 1225 x 3.162 / 2= 1943.64 (approx)

So, the rate of change of income with respect to number of years of education when x=10 isdxdy=1943.64.

Therefore, the DEATAIL ANS isdxdy=1943.64.

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The expression that is equivalent to the expression [(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)] is; -3c

Simplification of fractions is the process of reducing fractions that involves making the fraction as simple as feasible.

We achieve this by dividing the numerator and denominator by the greatest integer that divides perfectly into both numbers.

The given expression is;

\(\frac{[(6c^2 + 3c)(-4c + 2)] }{[(2c + 1)/(4c - 2)]}\)

On Simplifying the fraction equation by factorization we obtained ;

\(\frac{[3c(2c + 1)/(-2(2c - 1))]}{[(2c + 1)/(2(2c - 1)]}\)

\(\frac{[3c(2c + 1) }{(-2(2c - 1))] \times [(2(2c - 1)/(2c + 1)]}\)

\(-3c\)

Hence he expression that is equivalent to the expression [(6c² + 3c)/(-4c + 2)] ÷ [(2c + 1)/(4c - 2)] is; -3c

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Answer:

use Math away, it would help, I'm in a hurry so I cannot give u the answer at the moment.

Step-by-step explanation:

Answer:

Part A:

To find the total length of sides 1 and 2 of the triangle, we need to add the lengths of these sides:

Side 1 + Side 2 = (3x^2 - 4x - 1) + (-x^2 + 4x + 5)

Simplifying the expression by combining like terms, we get:

Side 1 + Side 2 = 2x^2 + 1

Therefore, the total length of sides 1 and 2 of the triangle is 2x^2 + 1.

Part B:

To find the length of the 3rd side of the triangle, we can subtract the sum of sides 1 and 2 from the perimeter of the triangle:

5x^3 - 2x^2 + 3x - 8 - [(3x^2 - 4x - 1) + (-x^2 + 4x + 5)]

Simplifying the expression by distributing the negative sign, and then combining like terms, we get:

5x^3 - 2x^2 + 3x - 8 - 2x^2 + 8x + 4

Simplifying further by combining like terms, we get:

5x^3 - 4x^2 + 11x - 4

Therefore, the length of the 3rd side of the triangle is 5x^3 - 4x^2 + 11x - 4.

Answer:

A) 5x^3 - 4x^2 + 3x - 4

Step-by-step explanation:

Answer:

A) 5x^3 - 4x^2 + 3x - 4

Step-by-step explanation:

Part A:

To find the total length of sides 1 and 2 of the triangle, we need to add the lengths of these sides:

Side 1 + Side 2 = (3x^2 - 4x - 1) + (-x^2 + 4x + 5)

Simplifying the expression by combining like terms, we get:

Side 1 + Side 2 = 2x^2 + 1

Therefore, the total length of sides 1 and 2 of the triangle is 2x^2 + 1.

Part B:

To find the length of the 3rd side of the triangle, we can subtract the sum of sides 1 and 2 from the perimeter of the triangle:

5x^3 - 2x^2 + 3x - 8 - [(3x^2 - 4x - 1) + (-x^2 + 4x + 5)]

Simplifying the expression by distributing the negative sign, and then combining like terms, we get:

5x^3 - 2x^2 + 3x - 8 - 2x^2 + 8x + 4

Simplifying further by combining like terms, we get:

5x^3 - 4x^2 + 11x - 4

Therefore, the length of the 3rd side of the triangle is 5x^3 - 4x^2 + 11x - 4.

Answer:

A) 5x^3 - 4x^2 + 3x - 4

Answer:

\((7x+10)^2-140x\)

Step-by-step explanation:

  \((7x+10)^2-140x\)

= \((7x+10)(7x+10)-140x\)

= \(49x^{2} +70x + 70x + 100 - 140x\)

= \(49x^2 +140x - 140x +100\)

= \(49x^2+100\)

A) The correct inequality for represent her statement is,

⇒ c > p

B) For circle weighs 12 ounces, inequality is,

⇒ 12 > p

We have to given that;

Jada says that the weight of one circle is greater than the weight of one pentagon.

Let p be the weight of one pentagon and c be the weight of one circle.

Hence, We get;

The correct inequality for represent her statement is,

⇒ c > p

Now, For circle weighs 12 ounces,

Hence, The inequality is,

⇒ 12 > p

Thus, The correct inequality for represent her statement is,

⇒ c > p

B) For circle weighs 12 ounces, inequality is,

⇒ 12 > p

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The dominant strategy of Farmer Jones is to buy 10 cows.

To determine the dominant strategy of Farmer Jones, we need to compare the outcomes of his two options:

buying either 10 cows or 20 cows.

Let's analyze the potential outcomes for each case:

Buying 10 cows:

If Farmer Smith buys 10 cows:  

The total number of cows in the field would be 30, resulting in each cow producing $3000 of milk.

If Farmer Smith buys 20 cows:

The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.

Buying 20 cows:

If Farmer Smith buys 10 cows:

The total number of cows in the field would be 40, causing each cow to produce $2000 of milk.

If Farmer Smith buys 20 cows:

The total number of cows in the field would be 50, resulting in each cow producing less than $2000 of milk (exact value unknown).

From the given information, we can observe that regardless of the strategy chosen by Farmer Smith, Farmer Jones is better off buying 10 cows.

In all scenarios, the milk production per cow is higher when Farmer Jones buys 10 cows compared to buying 20 cows.

Therefore, the dominant strategy for Farmer Jones is to buy 10 cows.

Formally, we can express this as follows:

For Farmer Jones, no matter the strategy chosen by Farmer Smith, buying 10 cows yields a higher milk production per cow compared to buying 20 cows.

Hence, Farmer Jones' dominant strategy is to buy 10 cows.

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The number of choices the gardener has is 440440

It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.

The formula for combination is \(^nC_r\) = n! / r!(n - r)1

We have,

Number of geranium = 14

Number of lilies = 12

Number of geranium bought = 5

Number of lilies bought = 3

The number of choices.

= \(^{14}C_5 \times ^{12}C_3\)

= (14 x 13 x 12 x 11 x 10)/(5 x 4 x 3 x 2) x (12 x 11 x 10)/(3 x 2)

= 14 x 13 x 11 x 2 x 11 x 10

= 440440

Thus,

The number of choices is 440440.

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The value of the integral ∫[0 to π] F(t) f(t) dt is π³/6.

We have,

To find the value of the integral ∫[0 to π] F(t) f(t) dt, we need to evaluate the integral by substituting the given functions into the integral expression.

Recall that the functions are defined as follows:

F(t) =

0, for -π ≤ t < 0

t, for 0 ≤ t < π

And,

f(t) = π - |t|, for -π ≤ t < π

Let's calculate the integral:

∫[0 to π] F(t) f(t) dt

Since F(t) is equal to zero for -π ≤ t < 0, the product F(t) f(t) will be zero in that interval.

Therefore, we only need to consider the interval 0 ≤ t < π.

In this interval, F(t) = t and f(t) = π - t.

So, the integral becomes:

∫[0 to π] t (π - t) dt

Expanding the expression, we have:

= ∫[0 to π] (πt - t²) dt

Integrating term by term, we get:

= (πt²/2 - t³/3) | [0 to π]

Evaluating the integral at the limits of integration, we have:

= [(ππ²/2 - π³/3) - (0 - 0)]

Simplifying, we get:

= π³/2 - π³/3

To find a common denominator, we multiply the first term by 3/3:

= (3³3/6 - 2π³/6)

Combining the terms, we have:

= π³/6

Therefore,

The value of the integral ∫[0 to π] F(t) f(t) dt is π³/6.

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The complete question:

Find the value of the integral ∫[0 to π] F(t) * f(t) dt, where F(t) and f(t) are defined as:

F(t)

= 0, for -π ≤ t < 0

= t, for 0 ≤ t < π

f(t) = π - |t|, for -π ≤ t < π

Please calculate the value of the integral ∫[0 to π] F(t) * f(t) dt.

Answer:

41.61

Step-by-step explanation:

Just divide.

\(\begin{matrix}4\overline{|\smallspace166.44}\:\:\:\:\:\:\:\end{matrix}\)

Answer: We have the equation:

166.44 ÷ 4 = 41.610

Calculated to 3 decimal places.

 0 4 1. 6 1 0

4 1 6 6. 4 4 0

− 0          

 1 6        

− 1 6        

   0 6      

 −   4      

     2 4    

   − 2 4    

       0 4  

     −   4  

         0 0

       −   0

           0

Step-by-step explanation: hope this helps

The jazz band collected $100.80 for t-shirts this week from the remaining 8 members who paid for their t-shirts.

There are 18 members in the jazz band, and each member must pay $12.60 for a t-shirt. So the total cost for 18 members is:

$12.60 x 18 = $226.80

Last week, 10 members paid for their t-shirts. So the total amount collected last week is:

10 x $12.60 = $126.00

To find out how much money was collected this week, we can subtract the amount collected last week from the total cost:

$226.80 - $126.00 = $100.80

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Answer:

Step-by-step explanation:

As you move from left to right along the graph, each y-value gets larger and larger.  Therefore the y value is always increasing.  The correct answer is D.

Given:

17 people apply for the position of an engineer.

22 people apply for the position of a manager.

Number of ways to fill the positions is 374.

Answer:

45

Step-by-step explanation:

Subtract the numbers

(3+(8-2)). x5

[3+6)]. x5

Add the numbers

[3+6]. x5

[9]. x5

Solving for Cartesian product n(B), we have n(B) = 72 / 24 = 3.

The Cartesian product is a mathematical operation that takes two sets and produces a set of all possible ordered pairs of elements from both sets.

In other words, if A and B are two sets, their Cartesian product (written as A × B) is the set of all possible ordered pairs (a, b) where a is an element of A and b is an element of B.

For example, if A = {1, 2} and B = {3, 4}, then A × B = {(1, 3), (1, 4), (2, 3), (2, 4)}.

By the question.

We know that n (Ax B) represents the number of elements in the set obtained by taking the Cartesian product of sets A and B.

Using the formula for the size of the Cartesian product, we have:

n (Ax B) = n(A) x n(B)

Substituting the given values, we get: 72 = 24 x n(B)

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Answer:

15.75 miles

Step-by-step explanation:

You would do 2.25 times 7 (the amount of days in the week)