a triangle has vertices at , , and . choose from the following all the possible ways to find the length of the hypotenuse of the triangle. then calculate the actual length. select all correct answers; more than one answer may be correct. use the pythagorean theorem. use the midpoint formula. use the distance formula. the length of the hypotenuse is . find the slope. the length of the hypotenuse is . the length of the hypotenuse is . not possible.

Answer:

The correct inequality is

\(x \geqslant 4\)

The recursive factorial algorithm performs n multiplications, but the number of bits required to write n! in binary is θ(n^n). This means that the number of multiplications is not a good estimate of the actual running time of the algorithm. The running time of the algorithm is actually O(n!), which is exponential in n.

The number of multiplications performed by the recursive factorial algorithm can be calculated as follows:

T(n) = 1 + T(n-1)

where T(n) is the number of multiplications performed when n! is calculated.

This can be solved using the following formula:

T(n) = n

The number of bits required to write n! in binary can be calculated as follows:

b(n!) = n log2(n) + n - 1

This can be solved using the following formula:

b(n!) = θ(n^n)

As can be seen, the number of bits required to write n! in binary is much larger than the number of multiplications performed by the recursive factorial algorithm. This is because the number of multiplications is only a measure of the number of operations performed, while the number of bits required to write n! in binary is a measure of the amount of data that must be processed.

The running time of the recursive factorial algorithm is O(n!), which is exponential in n. This is because the algorithm must recursively calculate the factorial of all numbers from 1 to n. The number of multiplications performed by the algorithm is only a small factor of the overall running time.

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Answer:

(6, 0 )

Step-by-step explanation:

to find where the line crosses the x- axis, let y = 0 in the equation and solve for x

0 = x - 6 ( add 6 to both sides )

6 = x

the line crosses the x- axis at (6, 0 )

Instead of y write 0:

0=x-6

0=x-6

6=x or x=6

We know the x coordinate of the point that intersects the x axis; the y coordinate is always 0.

(6, 0)

To calculate the Loan to Value (LTV) ratio, we divide the loan amount by the purchase price of the property and express the result as a percentage. LTV = 80%

Given: Purchase price of the building: $8,000,000 Loan amount: $6,400,000 LTV = (Loan amount / Purchase price) * 100 LTV = ($6,400,000 / $8,000,000) * 100 LTV = 0.8 * 100 LTV = 80%

Therefore, the Loan to Value (LTV) ratio in this scenario is 80%. This means that the bank has provided a loan equivalent to 80% of the purchase price of the building.

The remaining 20% of the purchase price, which is $1,600,000 in this case, would be the down payment or equity contribution made by the borrower. Correct answer is 80%

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Answer:

$4.68

Step-by-step explanation:

9% of $52.

9/100 * 52

= (52*9)/100

= 468/100

= $4.68

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In the equation 40+70+?=360, they are trying to find the last angle.

First they would add 40 and 70, which is 110.

So 110+?=360

360-110=?

360-110=250

Well this is wrong, because every angle in a triangle adds up to 180 degrees.

If you are adding up the angles in a quadrilateral, only then it adds up to 360 degrees.

So they did everything right, but they didn't use the right "total degrees"

This is what it was supposed to look like.

40+70+?=180

110+?=180

180-110=?

180-110=70

?=70

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♡ Also thank you so much for 31 points. ♡

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❀ 0ranges ❀

Answer:

Quadrinomial/Quartic Polynomial

Step-by-step explanation:

Quadri- and quartic is a prefix that means 4 of something or 4 parts and there are 4 terms in that polynomial. However, to be more specific, that is a 4th Degree Quadrinomial because the greatest exponent is 4.

If a = 2b and b is 14% of c, then a is 28% of c.

This means that a is 28% of the total value of c.

Let's break down the given information step by step to determine the relationship between a, b, and c and find the percentage of a in relation to c.

Given:

a = 2b

b = 14% of c

We can substitute the value of b from the second equation into the first equation to express a solely in terms of c:

a = 2(14% of c)

a = 2(0.14c)

a = 0.28c

Now we have expressed a in terms of c.

To find the percentage of a in relation to c, we can calculate the ratio of a to c and multiply by 100 to express it as a percentage:

Percentage of a in relation to c = (a / c) * 100

Percentage of a in relation to c = (0.28c / c) * 100

Percentage of a in relation to c = 0.28 * 100

Percentage of a in relation to c = 28%

Therefore, a is 28% of c.

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Simplify complex expressions, find matching pairs, determine moduli, identify minimum value and provide an example complex number.

A. Simplifying 4i(1+i)+(6+2i):

4i(1+i) = 4i + 4i\(^2\) = 4i - 4 = -4 + 4i

So the expression becomes: (-4 + 4i) + (6 + 2i) = 2 + 6i

B. Simplifying -3(5i)\(^2\):

(5i)\(^2\) = 5\(^2\) * i\(^2\) = 25 * (-1) = -25

So the expression becomes: -3 * (-25) = 75

C. Simplifying i\(^2\)43(1+3i):

i\(^243\) = i^(4*60 + 3) = (i\(^4\))\(^60\) * i\(^3\) = 1\(^2\) * i\(^3\) = 1 * (-i) = -i

So the expression becomes: -i * (1 + 3i) = -i - 3i^2 = -i - 3(-1) = -i + 3 = 3 - i

D. Simplifying -1/2 (1+i)(2i^10):

(1+i)(2i^10) = (1+i)(2i\(^2\))^5 = (1+i)(-4)^5 = (1+i)(1024) = 1024 + 1024i

So the expression becomes: -1/2 * (1024 + 1024i) = -512 - 512i

E. Simplifying 6(5+5i) / (-2i)(3i\(^5\)):

6(5+5i) = 30 + 30i

(-2i)(3i^5) = -6i * i^5 = -6i * (-i) = -6i * i = 6

So the expression becomes: (30 + 30i) / 6 = 5 + 5i

Matching pairs and their simplified responses:

A → 2 + 6i

B → 75

C → 3 - i

D → -512 - 512i

E → 5 + 5i

The modulus of each complex number:

|2 + 6i| = sqrt(2^2 + 6^2) = sqrt(40) = 2sqrt(10)

|75| = 75

|3 - i| = sqrt(3^2 + (-1)\(^2)\) = sqrt(10)

|-512 - 512i| = sqrt((-512)\(^2\)+ (-512)\(^2\)) = sqrt(2 * 512\(^2\)) = 512sqrt(2)

|5 + 5i| = sqrt(5^2 + 5^2) = sqrt(50) = 5sqrt(2)

Listing the moduli from smallest to largest:

C → sqrt(10)

E → 5sqrt(2)

A → 2sqrt(10)

D → 512sqrt(2)

B → 75

For the complex number n, the minimum value of the modulus is sqrt(10).

One example of the complex number n is n = sqrt(10).

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Using the chain rule , the partial derivatives are

∂z/∂s = 594s + 936t and ∂z/∂t = 936s + 1584t.

To find ∂z/∂s and ∂z/∂t using the chain rule, we need to calculate ∂x/∂s, ∂y/∂s, ∂x/∂t, and ∂y/∂t.

Let's start by differentiating x = -6s - 9t with respect to s and t:

∂x/∂s = -6   (since the derivative of -6s with respect to s is -6)

∂x/∂t = -9   (since the derivative of -9t with respect to t is -9)

Next, differentiate y = s + 4t with respect to s and t:

∂y/∂s = 1    (since the derivative of s with respect to s is 1)

∂y/∂t = 4    (since the derivative of 4t with respect to t is 4)

Now, using the chain rule, we can find the partial derivatives of z with respect to s and t:

∂z/∂s = ∂z/∂x * ∂x/∂s + ∂z/∂y * ∂y/∂s

      = 16x * (-6) + 18y * 1

      = -96x + 18y

∂z/∂t = ∂z/∂x * ∂x/∂t + ∂z/∂y * ∂y/∂t

      = 16x * (-9) + 18y * 4

      = -144x + 72y

Now, let's substitute the expressions for x and y into the equations:

∂z/∂s = -96(-6s - 9t) + 18(s + 4t)

      = 576s + 864t + 18s + 72t

      = 594s + 936t

∂z/∂t = -144(-6s - 9t) + 72(s + 4t)

      = 864s + 1296t + 72s + 288t

      = 936s + 1584t

Therefore, ∂z/∂s = 594s + 936t and ∂z/∂t = 936s + 1584t.

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under the restrictions that c is negative to ensure strict concavity, the utility function u(w) = -(b - w)c displays increasing absolute risk aversion.

To ensure that u(w) is strictly increasing, we need the derivative of u(w) with respect to w to be positive for all values of w. Taking the derivative, we have du(w)/dw = -c. For u(w) to be strictly increasing, -c must be positive, which implies c must be negative.

To ensure that u(w) is strictly concave, we need the second derivative of u(w) with respect to w to be negative for all values of w. Taking the second derivative, we have d²u(w)/dw² = 0. Since the second derivative is constant and negative, u(w) is strictly concave.

Now, let's examine the concept of increasing absolute risk aversion. If a utility function u(w) exhibits increasing absolute risk aversion, it means that as wealth (w) increases, the individual becomes more risk-averse.

In the given utility function u(w) = -(b - w)c, when c is negative (as required for strict concavity), the absolute risk aversion increases as wealth (w) increases. This is because the negative sign implies that the utility function is concave, indicating that the individual becomes more risk-averse as wealth increases.

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Answer:

a) 72

b) 1/72

c) 1/36

Step-by-step explanation:

a) number of ways she can choose route= 3C1 = 3

   number of ways she can choose parking lots= 4C1 = 4

number of ways she can choose entrances= 3C1 = 3  

number of ways she can choose elevators= 2C1 = 2

number of ways she can go to office= number of ways she can choose route×number of ways she can choose parking lots×number of ways she can choose entrances×number of ways she can choose elevators

      number of ways she can go to office= 3×4×3×2

                                                                      = 72

b) Probability of morning side= number of morning side/ total number of routes=  1/3

probabiltiy of Parking lot A=  number of parking lot A/ total number of parking lot= 1/4

probability of south entrance= number of south entrance/ total number of entrances=  1/3

probablity of elevator 1=  number of elevator 1/ total number of elevator= 1/2

combine probability= 1/3× 1/4×1/3×1/2 = 1/72

c) Probability of Industrial Avenue= number of industrial avenue/ total number of avenue= 1/3

Probability of parking lot D= number of parking lot D/ total number of parking lot after deducting number of parking lots A and B = 1/2

Probability of north entrance= number of north entrance/ total number of entrance= 1/3

probablity of elevator 2= number of elevator 2/ total number of elevator

                                      = 1/2

combine probability= 1/3 × 1/2 × 1/3 ×1/2

                                  = 1/36

The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.

The hypotheses for the test are:

H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)

This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.

To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.

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The volume of the solid obtained by rotating the region bounded by y = x^2, y = 0 and x = 1, about the y-axis is π/2.

We have to determine the volume of the solid obtained by rotating the region bounded by y = x^2, y = 0 and x = 1, about the y-axis.

We will rotate the region near the y-axis using the disc method. Consequently, the curve's equation should be expressed in terms of y.

y = x^2

Taking square root on both side, we get

x = √y

We can write it as

x = y^{1/2}

The volume integral formula is

V = \(\pi\int_{a}^{b}R(x)^2dx\)

The values of a and b are taken from the y-axis since the equation for the curve we need is expressed in terms of y.

Using the curve's equation, if x = 0, y = 0, and if x = 1, y = 1, respectively.

Thus, a = 0 and b = 1 are the values.

Now, we may use definite integral to express the volume.

V = \(\pi\int_{0}^{1}\left[y^{1/2}\right]^2dx\)

Now simplify

V = \(\pi\int_{0}^{1}ydx\)

Now integrating

V = \(\pi\left[\frac{y^2}{2}\right]_{0}^{1}\)

V = \(\pi\left[\frac{(1)^2}{2}-\frac{(0)^2}{2}\right]\)

V = \(\pi\left[\frac{1}{2}-0}\right]\)

V = π/2

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Answer:

hewo friend

Step-by-step explanation:

Answer:

the answer is the 2nd one

Step-by-step explanation:

Answer:

ok so this sounds kind of fancy but constant of proportionality just mean cups sold by amount made

9/12=0.75

so c

Hope This Helps!!!

Answer: i think it is  46.38 %

Step-by-step explanation: add both numbers ( decimals) and just put the percentage. hope this will help u stay safe :)

Answer:

38.3%

Step-by-step explanation:

We have two equations to find the answer.

1. Discount = OG Price * Discount by 100%

2. Final Price = OG Price - Discount

So fill in the first equation :

Discount = 28.99 * 38.3/100

Discount = 28.99 * 0.38

Saved = $11.10

Now for the second equation :

Final Price = 28.99 - 11.10317

Final Price = $17.89

Therefore the discount is 38.3%

Answer:

256 m^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a trapezoid. It is a quadrilateral with one pair of parallel sides while other sides are non-parallel. Here, the opposite angles are alternate, that is, they have together 180°.

Isosceles trapezoid

An isosceles trapezoid is a trapezoid with congruent base angles and congruent non-parallel sides. Here, the base angles are the same.

The line segment joining the midpoints of the parallel sides is perpendicular to the bases and the diagonals are the same in length.

Right-angled trapezoid

Trapezoid with two right angles and necongruent non-paralell sides.

Good luck:)

Answer:

answer c

Step-by-step explanation:

Answer:

Yes by SSS

Step-by-step explanation:

Answer:

4566

Step-by-step explanation:

you you get that answer by learning and trying your best like me by

The length of the third side of the triangle with a perimeter of 7x + 8 is 2x + 3

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

A triangle is a polygon that has three sides. The perimeter of a triangle is the sum of all the three sides.

Hence:

Perimeter of triangle = side 1 + side 2 + side 3

A triangle has a perimeter of 7x + 8. the first side of the triangle has a length of 3x, and the second side has a length of 2x − 5.

Hence:

Perimeter of triangle = side 1 + side 2 + side 3

7x + 8 = 3x + (2x - 5) + side 3

7x + 8 = (5x - 5) + side 3

side 3 = 7x + 8 - (5x - 5)

side 3 = 2x + 13

The length of the third side is 2x + 3

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Answer:

B

Step-by-step explanation:

Corret on A P E X

Answer:

y = 8

Step-by-step explanation:

12 x 2 is 24, so I'm assuming y is also times 2. 4 x 2 is 8

Answer:

8

Step-by-step explanation:

4:12

y:24

4:12=y:24

4/12=y/24

24x4/12

96/12

8

Answer:

Z'(10, 14)

Explanation:

Taking into accoun that the vertex point X(2, 3) is mapped to X'(4, 8), we can say that the translation rule is:

(a, b) ----> (a + 2, b + 5)

Because

X(2, 3) ----> (2 + 2, 3 + 5)

----> X'(4, 8)

So, using this rule, we can find the coordinates for Z' as:

Z(8, 9) ----> (8 + 2, 9 + 5)

----> Z'(10, 14)

Therefore, the answer is Z'(10, 14)

The graph of the compound inequalities is attached with the answer below.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that the compound inequality is represented as x > 2 y ≤ 4.

The compound inequality in a single inequality form can be written as:-

x > 2

y ≤ 4

When we plot the graph of the two inequalities we get the two zones one is below the line passing through the origin and the other is below point 2 on the coordinate plane.

The graph of the inequality is attached with the answer below.

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Answer:

They are not proportional.

Step-by-step explanation:

The proportions of each survey differ in size.

                                    \(\frac{3}{5} \neq \frac{6}{11}\)

The first survey represents 60% and the second 54.5% (0.6 and 0.545 in decimal form). Therefore, they are not proportional.

Hope this helps.

Answer:

You need "more than" 300.

Step-by-step explanation:

i did the test