I need help ASAP!!!!!

There is a infinite number of real numbers from 1 through 5

The range is given as

1 to 5

The set of numbers is given as

Real numbers

Real numbers are any number that are not complex or imaginary numbers

This type of number covers all types of number that are not complex or imaginary numbers and it has an infinite count

Since the numbers cannot be counted, we can conclude that there is a infinite number of real numbers from 1 through 5

Hence, there is a infinite number of real numbers from 1 through 5

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Answer:

$24,192

Step-by-step explanation:

Cost of truffles = $168 per ounce

Amount of truffles bought = 9 pounds

Amount to be paid for truffles :

Converting the amount of truffles bought to ounces :

1 pound = 16 ounces

Hence, total amount of truffles bought in ounces :

(16 * 9) = 144 ounces

Hence, amount it be paid :

144 * $168

= $24,192

Answer:

y=x, x axis,  y=x, y axis

Step-by-step explanation:

If a point A(x, y) is reflected along the y = x line, the new coordinates would be A'(y, x)

If a point A(x, y) is reflected across the x axis, the new coordinates would be A'(x, -y)

If a point A(x, y) is reflected along the y axis, the new coordinates would be A'(-x, y)

Firstly reflect Trapezoid ABCD along the y = x line to give:

A (-5, 1) ⇒ A'(1, -5). B (-4, 3) ⇒ B'(3, -4). C (-2, 3) ⇒C'(3, -2). D (-1, 1) ⇒ D'(1, -1)

Secondly reflect along the x axis to give:

A'(1, -5)⇒ A"(1,5). B'(3, -4)⇒ B"(3,4), C'(3, -2)⇒C"(3, 2), D'(1, -1) ⇒ D"(1, 1)

Thirdly reflect along the y = x line to give:

A"(1,5) ⇒ A"'(5, 1). B"(3,4) ⇒ B"'(4, 3). C"(3, 2) ⇒ C"'(2, 3). D"(1, 1) ⇒ D"'(1, 1)

Lastly reflect along the y axis to give:

A"'(5, 1) ⇒ A""(-5, 1), B"'(4, 3) ⇒ B""(-4, 3), C"'(2, 3) ⇒ C""(-2, 3), D"'(1, 1) ⇒ D""(-1.1)

Answer:

y-axis, x-axis, y-axis, x-axis

Sorry for being really late but i hope this helps someone out there. I took the test and that was the correct answer.

Answer:

x = - 10

Step-by-step explanation:

2(x + 3) = x - 4 ← distribute parenthesis on left side

2x + 6 = x - 4 ( subtract x from both sides )

x + 6 = - 4 ( subtract 6 from both sides )

x = - 10

Answer:

-10

Step-by-step explanation:

2(x+3)=x-4

2x+6=x-4

2x-x=(-4)-6

x=-10

Hence the answer is -10

The work done by the force is equal to F multiplied by 30, where F is the magnitude of the force applied in pounds-force.

The formula for work (W) is given byW = Fdcosθ where F is the force applied, d is the displacement caused by the force, and θ is the angle between the force and the displacement.

Here, a heavy object is pulled 30 feet across a floor horizontally using a force. The angle between the force and displacement is 0° since the force is horizontal.

Thus, θ = 0°.Using the given values in the formula for work, we haveW = FdcosθW = F × 30 × cos0°Since cos0° = 1,W = F × 30

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Answer:

thx

Step-by-step explanation:

Answer:

14x - y - 5

Step-by-step explanation:

Answer:

25 cups and 10 teaspoons

Step-by-step explanation:

The Longest Increasing Subsequence (LIS) problem is a classic problem in dynamic programming. Given a sequence of numbers, the problem is to find the longest subsequence in which the numbers are in increasing order. For example, given the sequence {3, 1, 5, 2, 4}, the longest increasing subsequence is {1, 2, 4}, which has length 3.

The LIS problem can be solved using dynamic programming by defining an array to store the length of the longest increasing subsequence that ends at each position in the sequence. The array is initialized to 1, and then for each position i in the sequence, the length of the longest increasing subsequence that ends at i is calculated by finding the maximum length of any subsequence that ends at a position j < i and has a smaller value than the value at i. The final solution is the maximum length of any subsequence in the array.

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Answer:

yo I need this to

Step-by-step explanation:

please let me know when you get the answer thank you

The probability that a bridge hand will have exactly 2 queens is 0.45%.

To find the probability of getting a bridge hand with exactly 2 queens, we need to use the binomial probability formula. The formula is:

P(exactly k successes) = (n choose k) * p^k * (1-p)^(n-k)

Where:

n is the total number of trials

k is the number of successes in the trials

p is the probability of success in a single trial

In this case, the total number of trials is 13 (since a bridge hand consists of 13 cards), and the number of successes we want is 2 (since we want exactly 2 queens). The probability of success in a single trial is the probability of drawing a queen, which is 4/52 (since there are 4 queens in a deck of 52 cards).

Plugging these values into the formula, we get:

P(exactly 2 queens) = (13 choose 2) * (4/52)² * (48/52)¹¹

= (78) * (1/169) * (4/13)¹¹

= (4/169) * (4/13)¹¹

This simplifies to:

P(exactly 2 queens) = (4/169) * (4/13)¹¹

= (4/169) * (4/169)¹¹

= (4/169)¹²

The final probability is approximately 0.0045 or 0.45%. This means that the probability of getting a bridge hand with exactly 2 queens is quite low.

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The patient's systolic pressure will be the lowest during the time interval 5 < t < 8, when they take the medication at 9 a.m.

The given piecewise function for systolic pressure S(t) has two segments, one for the time interval 5 < t < 8 and another for 8 ≤ t ≤ 12.

For 5 < t < 8, the systolic pressure is a constant value of 115. Therefore, the systolic pressure remains the same during this time interval, and it will not be the lowest.

For 8 ≤ t ≤ 12, the systolic pressure increases linearly with time, starting from 140 and increasing by 9 units every hour. Therefore, the systolic pressure at the beginning of this interval is 140, and it increases until it reaches the maximum value of 211 at t=12.

Since the systolic pressure is highest at the end of the second interval, the lowest value of the systolic pressure must occur in the first interval, which is 5 < t < 8. Therefore, the patient's systolic pressure will be lowest during this time interval, and it will be a constant value of 115.

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The given question is incomplete, the complete question is:

When a patient with hypertension takes a particular type of blood pressure medication, the effects on the systolic pressure, S(t), can be (140-5tif Osts 5 measured by the following piecewise defined function: S(t) = 115 if 5<t<8 - where t is the time, in hours, since 43 +9t if 8sts 12 taking the medication. Based on the graph of the piecewise function, if the patient takes the blood pressure medication at 9 a.m., in which interval will their systolic pressure be lowest?

Therefore , the solution of the given problem of equation comes out to be  9x^3 - 8x^2.

A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The equal sign is a crucial part of mathematical formulas, especially equations. Algebra is frequently utilized in equations. Algebra is used in mathematics when it is difficult to determine a precise quantity.

Here,

Polynomial function total

Polynomial functions are those that have a leading degree of three or higher. given the total;

(7x^3-4x^2)+(2x^3-4x^2)

Expand => (7x 3-4 times) + (2x 3-4 times)

= > 7x^3-4x^2 + 2x^3-4x^2

assemble similar terms

=> 7x^3 + 2x^3 - 4x^2 -4x^2

=> 9x^3 - 8x^2

Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.

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Answer: i believe its 15.12

Step-by-step explanation:

The number of llamas in the petting zoo has 13, and the number of kangaroos is 34.

Let the number of llamas in the petting zoo be x, and the number of kangaroos in the petting zoo be y.

Thus, we can write two equations from the given conditions:

Equation 1: x + y = 47

Equation 2: 4x + 2y = 120

(since each llama has 4 legs and each kangaroo has 2 legs)

Simplifying equation 2:2x + y = 60

Now we have two equations with two unknowns.

To solve them, we can either use substitution or elimination.

Using substitution, we can solve equation 1 for y in terms of x:y = 47 - x

Now we substitute this expression for y in equation 2:2x + (47 - x) = 60

Simplifying: x + 47 = 60x = 13

Now we can use either equation 1 or 2 to find y:x + y = 47y = 47 - xy = 47 - 13y = 34

Therefore, the petting zoo has 13 llamas and 34 kangaroos.

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The cost equations for the companies are:

A cost equation is a mathematical formula that a company can use to predict the expenses associated with the production and sale of a certain amount of goods.

Given data:

Sherman Oaks --> $50 an hour

Wild hog --> $30 and $40 an hour.

Let x represent the number of hours required to create a logo.

For Sherman Oaks:

Cost = 50x

For Wild Hog Design:

Cost = 30 + 40x

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A 95% confidence interval for the proportion of all the registered voters who will vote for trump is  (0.25, 0.34).

What is a random sample?

A simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.

Here, we have

Given, n = 400

x = 120

95% of confidence interval = z = 1.96

p = 120/400 = 0.3

Now by applying the confidence interval formula, we get

= 0.3 ± 1.96(√{0.3(1-0.3)}/400)

= 0.3 ± 0.0449

= (0.25, 0.34)

Hence,  a 95% confidence interval for the proportion of all the registered voters who will vote for trump is  (0.25, 0.34).

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The solution to the following equations are:

x + 8 = 6

subtract 8 from both sides

x = 6 - 8

x = -2

x - 1 = -4

Add 1 to both sides

x = -4 + 1

x = -3

10 + x = 5

subtract 10 from both sides

x = 5 - 10

x = -5

x + 4 = -14

subtract 4 from both sides

x = -14 - 4

x = -18

x - 3 = -9

Add 3 to both sides

x = -9 + 3

x = -6

-4 + x = -8

Add 4 to both sides

x = -8 + 4

x = -4

-5 = 10x

divide both sides by 10

x = -5/10

x = -0.5

-4x = -60

divide both sides by -4

x = -60/-4

x = 15

3x = -24

divide both sides by 3

x = -24/3

x = -8

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Answer:4.08 ft a year or 1 and 5/8 feet a year (approx)

Step-by-step explanation:

It's  12.5 feet the first year

51 feet 5 years later

If you do the math and divide 51 by 12.5, you get 4.08 which is around 1 and 5/8 ft

12.5x4.08 is  51 feet.

So the tree grows approximately 1 and 5/8 feet a year

AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

What is congruent ?

Congruent refers to having the same shape and size. In mathematics, two objects are said to be congruent if they are identical in shape and size, and can be superimposed onto one another. The symbol used to represent congruence is ≅. Congruence applies to various geometric objects, such as triangles, rectangles, circles, and more. When two objects are congruent, they have all corresponding angles equal and all corresponding sides equal in length.

Step 1: Statement: \($\angle DBE = \angle EBC$\)

Reason: Given that overline BE bisects \($\angle DBC$\)

Step 2: Statement: \($\angle DBC + \angle EBC = 180^\circ$\)

Reason: Angle sum property of a straight line.

Step 3: Statement: \($\angle ABC + \angle EBC = 180^\circ$\)

Reason: Angles on a straight line sum to \(180^\circ$, and $\overline{BE} || \overline{AC}$\) implies that \(\angle ABC$ and $\angle EBC$\) are co-interior angles.

Step 4: Statement: \($\angle ABC = \angle DBC$\)

Reason: From step 2 and step 3, \($\angle ABC + \angle EBC = \angle DBC + \angle EBC = 180^\circ$\). Thus, \($\angle ABC = \angle DBC$\).

Step 5: Statement: \($\triangle ABE \cong \triangle CBE$\)

Reason: By the angle-angle-side congruence criterion, since \($\angle DBE = \angle EBC$\) (from step 1) and \($\angle ABC = \angle DBC$\) (from step 4), and \($\overline{BE}$\) is common to both triangles.

Step 6: Statement: \($AB = BC$\)

Reason: By step 5, \($\triangle ABE \cong \triangle CBE$\), so corresponding sides are congruent, including \($\overline{AB} \cong \overline{BC}$\).

Therefore, AB is congruent to BC given BE bisects DBC and BE is parallel to AC is proved .

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Yes, the statement "if x is rational and y is irrational, then x + y is irrational" is true.

To understand why, let's break it down step by step:

1. First, let's define what it means for a number to be rational or irrational:
  - A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero.
  - An irrational number is a number that cannot be expressed as the ratio of two integers.

2. Given that x is rational and y is irrational, we can express x and y as follows:
  - x = a/b, where a and b are integers and b is not zero.
  - y = c, where c is an irrational number.

3. Now, let's consider the sum x + y:
  - x + y = (a/b) + c

4. To prove that x + y is irrational, we'll assume the contrary, that is, x + y is rational. This means we can express x + y as the ratio of two integers:
  - x + y = p/q, where p and q are integers and q is not zero.

5. We can rewrite this equation as follows:
  - (a/b) + c = p/q

6. Rearranging the equation, we get:
  - (a/b) = (p/q) - c

7. Since (p/q) is a rational number and c is an irrational number, the right side of the equation (p/q) - c would be the difference between a rational and an irrational number.

8. However, the difference between a rational number and an irrational number is always irrational. Therefore, the right side of the equation is irrational.

9. This contradicts our assumption that (a/b) is rational, leading us to conclude that x + y must be irrational.

In conclusion, if x is rational and y is irrational, then x + y is always irrational.

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Answer:

Congruent

Step-by-step explanation:

maybe 11.6 is the greatest number.

the following number is 11.6

The surface area of the toy box is; 712 square centimeters.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given that Alexander built a toy box in the shape of a rectangular prism with an open top.

The top and bottom faces have areas;

14 cm × 10 cm = 140 cm² each.

The front and back faces have areas ;

14 cm × 9 cm = 126 cm² each.

The left and right faces have areas;

10 cm × 9 cm = 90 cm² each.

Therefore, the total surface area is:

2(140 cm²) + 2(126 cm²) + 2(90 cm²)

= 280 cm² + 252 cm² + 180 cm² = 712 cm²

So, the surface area of the toy box is 712 square centimeters.

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The amount of broccoli needed to be ordered to prepare 50 portion of broccoli flower is 3.375 kg.

You need to prepare 50 portions of broccoli flowers.

A prepared portion weighs 0.090 kg.

Trimming accounts for 25% of the total weight.

Therefore, to find how much broccoli is needed to order can be calculated as follows:

Therefore,

the broccoli needed to be ordered = 0.0675 × 50 = 3.375 kg

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1. The system is asymptotically stable for all points in the state space except for the origin (0,0).
2. Trajectories of the system will approach the origin (0,0) as time goes to infinity, except for the initial condition x = (0,0).

The region of asymptotic stability for the given system of differential equations can be investigated by analyzing the Lyapunov function V(x) = x₁² + x₂².

To determine the stability of the system, we can compute the derivative of the Lyapunov function with respect to time. Let's denote it as V-dot.

V-dot = ∇V · f(x), where ∇V is the gradient of V and f(x) is the vector field of the system.

∇V = [∂V/∂x₁, ∂V/∂x₂] = [2x₁, 2x₂]

f(x) = [x₁˙, x₂˙] = [-x₁ + x₂ + x₁(x₁² + x₂²), -x₁ - x₂ + x₂(x₁² + x₂²)]

Now, let's compute V-dot:

V-dot = ∇V · f(x) = [2x₁, 2x₂] · [-x₁ + x₂ + x₁(x₁² + x₂²), -x₁ - x₂ + x₂(x₁² + x₂²)]

Simplifying the expression, we get:

V-dot = -2x₁² - 2x₂²

From this expression, we can observe that V-dot is negative for all x₁ and x₂, except for the point (0,0). This implies that the system is asymptotically stable for all points except the origin.

In other words, all trajectories of the system will approach the origin (0,0) as time goes to infinity, except for the initial condition x = (0,0) which represents the equilibrium point itself.


It's important to note that this analysis assumes that the system is globally defined and smooth. It's always recommended to verify the stability analysis using other methods and perform additional checks if needed.

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The critical points or domain endpoints where f' is undefined is/are at x = -4, x = 4, x = -8, and x = 8.

To find the critical points, domain endpoints, and local extreme values for the function y = 5x√(64 - x²), we need to perform some calculus operations.

Let's start by finding the derivative of the function, f'(x), and determine where it is undefined.

First, we can rewrite the function as follows:

y = 5x(64 - x²)\(^{(1/2)\)

To find the derivative, we can use the product rule.

Let's denote (64 - x²)\(^{(1/2)\) as u(x):

u(x) = (64 - x²)\(^{(1/2)\)

Using the product rule, we have:

f'(x) = 5(x)u'(x) + u(x)(5)

Now, let's calculate u'(x) using the chain rule:

u(x) = (64 - x²)\(^{(1/2)\)

u'(x) = (1/2)(64 - x²)\(^{(-1/2)(-2x)\)

Substituting these values into the derivative equation, we get:

f'(x) = 5(x)(1/2)(64 - x²)\(^{(-1/2)(-2x)\) + 5(64 - x²)\(^{(1/2)\)

Simplifying this expression, we have:

f'(x) = -5x²(64 - x²)\(^{(1/2)\) - 5x(64 - x²)\(^{(1/2)\) + 5(64 - x²)\(^{(1/2)\)

Now, to find the critical points, we set f'(x) equal to zero and solve for x:

-5x²(64 - x²)\(^{(1/2)\) - 5x(64 - x²)\(^{(1/2)\) + 5(64 - x²)\(^{(1/2)\) = 0

We can simplify this equation by multiplying through by (64 - x²)^(1/2):

-5x² - 5x(64 - x²) + 5(64 - x²) = 0

Expanding and simplifying:

-5x² - 320x + 5x³ + 320 = 0

Rearranging the terms:

5x³ - 5x² - 320x + 320 = 0

We can factor out a common factor of 5:

5(x³ - x² - 64x + 64) = 0

Next, we can factor the expression inside the parentheses:

5(x - 4)(x - 4)(x + 4) = 0

This equation is satisfied when x = 4 and x = -4.

Therefore, these are the critical points of the function.

Now let's determine the domain endpoints. The given function involves a square root, which means the expression inside the square root (64 - x²) must be greater than or equal to zero to avoid taking the square root of a negative number.

64 - x² ≥ 0

To find the values of x that satisfy this inequality, we solve it as follows:

x² ≤ 64

Taking the square root of both sides (remembering to consider both the positive and negative square roots), we have:

x ≤ 8 and x ≥ -8

So, the domain of the function is -8 ≤ x ≤ 8.

Finally, we need to determine the local extreme values of the function. To do this, we evaluate the function at the critical points and endpoints of the domain.

For x = -8:

y = 5(-8)√(64 - (-8)²) = -320

For x = 4:

y = 5(4)√(64 - 4²) = 160

For x = 8:

y = 5(8)√(64 - 8²) = 320

Hence, the local extreme values are y = -320, y = 160, and y = 320.

In conclusion:

A. The critical points or domain endpoints where f' is undefined is/are at x = -4, x = 4, x = -8, and x = 8.

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The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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Answer:

y = -1x - 7

Step-by-step explanation:

y2 - y1 / x2 - x1

-6 - (-3) / -1 - (-4)

-3/3

= -1

y = -1x + b

-6 = -1(-1) + b

-6 = 1 + b

-7 = b