please help me I'm in a hurry!!!!!

Construct quadrilateral ABCD such that AB = 5 cm, BD = DC = 8 cm, angle B = 30° and angle C = 45°
Measure the diagonal |AC|.​

The width of the rabbit pen is 9/4 yards, which can also be expressed as 2 1/4 yards or 2.25 yards.

To find the width of the rabbit pen, we can use the formula for the area of a rectangle:

Area = Length * Width

Given that the area of the pen is 1 1/2 square yards, and the length of the pen is 2/3 yard, we can substitute these values into the formula:

1 1/2 = (2/3) * Width

To solve this equation, we can first convert the mixed number 1 1/2 to an improper fraction:

1 1/2 = 3/2

Now we can rewrite the equation as:

3/2 = (2/3) * Width

To isolate the Width, we can multiply both sides of the equation by the reciprocal of (2/3), which is (3/2):

(3/2) * (3/2) = (2/3) * Width * (3/2)

9/4 = Width

Therefore, the width of the rabbit pen is 9/4 yards, which can also be expressed as 2 1/4 yards or 2.25 yards.

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The data being skewed and indicating higher wait times above 7 minutes due to a busy park is the most suitable description based on the given line plot.

The best description of the shape of the data is that it is skewed and might mean that the wait times were higher than 7 minutes because the park was busy.

Here's the explanation:

From the line plot, we can observe that there are 6 dots above 6, 5 dots above 7, 3 dots above 5, and 2 dots above 8.

The distribution is not symmetric, as the data points are not evenly spread around a central value.

The fact that there are more dots above 7 and 8 suggests that the wait times were higher than these values for a significant number of rides. This skewness in the data indicates that there were instances of longer wait times.

Additionally, the presence of dots above 5 and 6 suggests that there were some rides with shorter wait times as well.

However, the higher concentration of dots above 7 and 8 indicates that the park was likely busy, leading to longer wait times.

The option stating that the data is skewed and might mean that the wait times were higher than 7 minutes because the park was busy best aligns with the information provided by the line plot.

It acknowledges the skewness of the data towards higher wait times, suggesting that the park experienced increased demand and longer queues during the fair.

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Value of sin(α + β)  is -140/221

given sin(α) = 8/17  so cos (α) = 15/17

given cos(β) = 5/13 so sin(β) = -12/13 (because β is in third quadrant )

sin(α + β) = sinαcosβ + cosαsinβ = (8/17)(5/13)- (15/17)(12/13) = -140/221.

The formula for sin(α + β) is given by sinαcosβ + cosαsinβ, which is derived from the product-to-sum identity for the sine and cosine functions.

This formula states that the sine of the sum of two angles is equal to the product of the sines of each angle multiplied by the cosine of the other angle, plus the product of the cosines of each angle multiplied by the sine of the other angle.

In this problem, we are given the values of sinα and cosα, as well as the values of sinβ and cosβ, so we can plug these into the formula to find the value of sin(α + β). After simplifying, we obtain the value of sin(α + β) = -140/221.

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Complete question :

If sin(α) = 8/17 where 0 < α < π/2 and cos(β) = 5/13 where 3π/2 < β < 2π,

find sin(α+β)

Answer:

The answer is (0,5)

Step-by-step explanation:

(0,5)

Answer:

X-intercept= (1.67,0)

Y-intercept = (0,5)

Step-by-step explanation:

Move y to the right so that it’s alone and then type it in the calculator under y= and press graph.

Answer:

y=2x-5

Step-by-step explanation:

slope intercept form is y=mx+b

m=slope

b=y-intercept

Answer: y = 2x - 5

slope-intercept form ⇒ y = mx + b

⇒ where mx is the slope,

⇒ b is the y-intercept

⇒According to the question;

mx which is the slope = 2

b the y-intercept = -5

∴ the equation is

Answer:

d x – 3 = 4

e 4x + 1 = 29

hope it helps

Answer:

D

Step-by-step explanation:

x - 3 = 4

reciprocate the 3 it will be +3, so the solution will be

x= 4+3

4+3=7

therefore the equation 4+3=7 states that the x is equal to 7

The probability of randomly selecting a number between 5 and 11 from the numbers 1-15 would be 1/3 or approximately 0.46.

The possible outcomes are calculated first. There are 15 possible outcomes in this situation because the numbers 1 through 15 can be chosen.

Count the number of favourable outcomes. There are seven favourable outcomes in this situation because the numbers 5 to 11 are selectable.

By dividing the number of favourable outcomes by the total number of possible possibilities, you may calculate the probability.

The probability in this situation is 7/15, or roughly 0.333 (1/3).Therefore, 7/15, or 0.333, represents the probability of choosing at random  number between 5 and 11 from the range of 1 to 15.

Number of events = 7

Total events = 15

Probability =  7/15

Probability = 0.46

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Based on the data in the table, if a cow is randomly selected from farm B, the probability that its feed includes seaweed is 0.597 (Option D) and without is 0.57

Note that the total number of feed with sea weed is 74.
And the total number of cows on the farm B is 124.

Thus, the cows whose feed includes seaweed is 74/124

= 0.59677419354

≈ 0.597

The Probability of those whose feed is without sea weed is

Note that the total number of feed without sea weed is 40.
And the total number of cows on the farm B is 76.

Thus, the probability is 40/70
= 0.5714285714

≈ 0.571

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Answer:

D

Step-by-step explanation:

the simplified version is 16 I'm not sure tho.

Answer:

There are 12 choices for the blue ribbon, 11 choices for the red and 10 choices for yellow so the answer is 12 * 11 * 10 = 1320.

According the question The approximate probability that more than 200 out of 500 people will be against increasing taxes is approximately 0.0114 or 1.14%.

Given:

- Sample size (n) = 500

- Probability of being against increasing taxes (p) = 0.35

- Probability of being in favor of increasing taxes (q) = 1 - p = 0.65

Mean (μ) and standard deviation (σ) of the binomial distribution:

\(\[\mu = n \cdot p = 500 \cdot 0.35 = 175\]\)

\(\[\sigma = \sqrt{n \cdot p \cdot q} \approx \sqrt{500 \cdot 0.35 \cdot 0.65} \approx 10.95\]\)

To find the probability of more than 200 people being against increasing taxes, we can use the normal approximation to the binomial distribution. Let's calculate the Z-score:

\(\[Z = \frac{{X - \mu}}{{\sigma}} = \frac{{200 - 175}}{{10.95}} \approx 2.28\]\)

Using a standard normal distribution table or calculator, we find that the probability of \(Z > 2.28\) is approximately 0.0114.

Therefore, the approximate probability that more than 200 out of 500 people will be against increasing taxes is approximately 0.0114 or 1.14%.

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Answer:

Step-by-step explanation:

What number multiplied by itself is equal to the product of 6 and 150?

30

30 x 30 = 900

6 * 150 = 900

The particle will be at the position of 19 meters at t=2 seconds, position function of the particle is given by s(t) = t^3 + 0.5t^2 + t + 7.

The meter position of the particle at any given time t can be found by integrating the velocity function v(t). Integrating v(t), we get the position function s(t) = t^3 + 0.5t^2 + t + C, where C is the constant of integration.

Since the initial position at t=0 is given as 7, we can use this information to find C as follows: s(0) = 0^3 + 0.5(0)^2 + 0 + C = 7, C = 7. Therefore, the position function of the particle is given by s(t) = t^3 + 0.5t^2 + t + 7.

To find the position of the particle at a specific time t, we can simply plug in the value of t in the position function s(t). For example, if we want to find the position of the particle at t=2 seconds,

we can plug in t=2 in the function s(t) as follows: s(2) = (2)^3 + 0.5(2)^2 + 2 + 7 = 19, Therefore  the particle will be at the position of 19 meters at t=2 seconds

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Answer:

The diameter of a circle is twice the length of its radius.​

Step-by-step explanation:

Or you can say double

The unknown variable's result of the equation 24² + x² = 26² is 10

To solve this problem we must establish the equation, isolate the variable following the rules of clearance and solve the operations:

24² + x² = 26²

576 + x² = 676

x² = 676 - 576

x² = 100

x = \(\sqrt{}\)100

x = 10

An equation is the equality between two algebraic expressions, which have at least one unknown or variable.

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Answer:

3,617.28m³

Step-by-step explanation:

What is the surface area of a dome with the radius of 12m

A dome is half of a sphere

Volume of a dome = 1/2 * 4/3πr³

Volume of a dome = 2/3πr³

r is the radius = 12m

Substitute

Volume of a dome = 2/3π*(12³)

Volume of a dome = 2/3 * 3.14 * 1728

Volume of a dome = 3,617.28m³

Hence the volume of the dome is3,617.28m³

The length of the rectangle would be equal to the square root of 2 times "n/a".


To find the length (l) of a rectangle when you know the width (w) and the diagonal (d), you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (d) is equal to the sum of the squares of the other two sides (l and w). In this case, we're looking for the length (l), so we can rearrange the formula to solve for it:

d^2 = l^2 + w^2
l^2 = d^2 - w^2
l = sqrt(d^2 - w^2)

However, in your question, you say that the width (w) and the diagonal (d) are both equal to "n/a". This means that we don't actually know their specific values - we only know that they are the same.

So if we substitute "n/a" for both "w" and "d" in the Pythagorean theorem, we get:

(n/a)^2 = l^2 + (n/a)^2
2(n/a)^2 = l^2
l = sqrt(2)*n/a

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Answer:

B

Step-by-step explanation:

Complementary angles sum to 90° then the other angle is

90° - 52° = 38°

Answer:

B 38°

Step-by-step explanation:

complementary angles are two angles that up to 90°, since we know one is 52°, 90-52=38, so your answer is 38

Answer:

the products and the reactants.

Step-by-step explanation:

Thats how true constants at equilibrium are expressed.

:) hope that helped . have a great day !

In the basis step of the mathematical induction proof for P(n), we show that the equation is true for n = 1. The equation of the inductive hypothesis (IH) is P(k), where k is an arbitrary natural number. In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true.

In the basis step, we substitute n = 1 into the equation 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1. This gives us the equation 1⋅2 = 1+1, which is true.

The inductive hypothesis (IH) is denoted as P(k), where k is an arbitrary natural number. We assume that P(k) is true, meaning that 11⋅2+12⋅3+⋅⋅⋅+1k⋅(k+1)=kk+1 holds.

In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true. This involves substituting n = k+1 into the equation 11⋅2+12⋅3+⋅⋅⋅+1n⋅(n+1)=nn+1 and demonstrating that the equation holds for this value. The specific equation we need to show in the inductive step is 11⋅2+12⋅3+⋅⋅⋅+1(k+1)⋅((k+1)+1)=(k+1)(k+1+1).

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In the basis step, we need to show that the equation P(1) is true. The equation of the inductive hypothesis (IH) is P(k), where k is any natural number greater than or equal to 1. In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true.

To prove the equation P(n): 11⋅2 + 12⋅3 + ... + 1n⋅(n+1) = n(n+1) using mathematical induction, we follow the two-step process.

1. Basis Step:

We start by showing that the equation is true for the base case, which is n = 1:

P(1): 11⋅2 = 1(1+1)

Simplifying, we get: 2 = 2, which is true.

2. Inductive Step:

Assuming that the equation is true for some arbitrary value k, the inductive hypothesis (IH) is:

P(k): 11⋅2 + 12⋅3 + ... + 1k⋅(k+1) = k(k+1)

In the inductive step, we need to show that if P(k) is true, then P(k+1) is also true:

P(k+1): 11⋅2 + 12⋅3 + ... + 1k⋅(k+1) + 1(k+1)⋅((k+1)+1) = (k+1)((k+1)+1)

By adding the (k+1)th term to the sum on the left side and simplifying the right side, we can demonstrate that P(k+1) is true.

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The 85% confidence interval that the true mean number of words a third grader can read per minute is between 30.131 and 30.869.

To create a confidence interval for the mean number of words a third grader can read per minute, an educational psychologist wishes to know the mean number of words a third grader can read per minute. She intends to produce an estimate at an 85% level of confidence.

For a sample of 146 third graders, the mean words per minute read was 30.5. Assume a population standard deviation of 3.1.

To create a confidence interval, the following formula can be used:

µ±z_α/2*σ/√n

Here, we are given the following details:

Sample size: n = 146

Mean: µ = 30.5

Population standard deviation: σ = 3.1

Level of confidence: α = 1 - 0.85 = 0.15

We need to determine the critical value of z_α/2.

α/2 ⇒ 0.15/2 ⇒ 0.075

Using a standard normal distribution table, we find that the value of z_0.075 is 1.44.

Confidence Interval: µ ± z_α/2*σ/√n

⇒ 30.5 ± 1.44 × (3.1/√146)

⇒ 30.5 ± 0.369

Thus, the confidence interval for the mean number of words a third grader can read per minute is (30.131, 30.869).

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Step is the same when constructing an inscribed regular hexagon and an inscribed equilateral triangle is shown below:

Geometric construction is the process of drawing a geometrical figure using two geometrical instruments, a compass, and a ruler.

Construction of an inscribed regular hexagon

1) Set compass width to the radius of the circle

2) Make an arc on the circle with the set radius.

3) From the previous arc draw another arc with the same radius.

4) Continue this process for the other vertex.

5) Connect all the vertices.

Construction of an inscribed equilateral triangle

1) Set compass width to the radius of the circle

2) Make an arc on the circle with the set radius.

3)From the previous arc draw another arc with the same radius.

4)Continue this process for the other vertex.

5) Connect the every other vertices point by drawing  a line between every other adjacent vertex point to form an inscribed equilateral triangle.

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Given equation is:

Solving for x,

Therefore,

x= 13/k

Hence, option (C) is true.

Answer:

Correct option is the third option:

6*3 - 4+3^2

Third option

\( 6(3)-4+3^2 \)

Step-by-step explanation:

\(f(x) = 4 - {x}^{2} \\ \red{ \bold{ f(3) = 4 - {3}^{2} }} \\ \\

g(x) = 6x \\ \purple{ \bold{ g(3) = 6( 3)}} \\ \\

(g - f)(3) = g(3) - f(3) \\ (g - f)(3) = 6( 3) - ( 4 - {3}^{2}) \\ \orange {\boxed {\bold {(g - f)(3) = 6( 3) - 4 + {3}^{2}}}} \\ \)

Answer:

x=4.4

Step-by-step explanation:

To get from 4 to 10 what happens?

Well, we multiply 4 by 2.5.

That should be the same for x.

Thus, 2.5x=11

x=4.4

Answer:

The number is 9

Step-by-step explanation:

6n + 11 = 9n -16  Subtract 6n from both sides of the equation

11 = 3x -16  Add 16 to both sides of the equation

27 = 3n   Divide both sides of the equation by 3

9 = n

Answer:

it last 2 hours and 30 min

Step-by-step explanation:

(a) The firm is operating in the long run, and its supply function is determined by the profit maximization condition.

(b) The firm's input demand functions can be derived from the profit function, and their degree of homogeneity is 1/2. Changes in input prices will impact the firm's input demand.

(c) The market supply function can be derived by aggregating the supply functions of all 40 firms operating in the market.

(d) Given the market conditions and demand function, the total market supply can be calculated.

(a) The firm is operating in the long run because it has the flexibility to adjust its inputs and make decisions based on market conditions. The firm's supply function is determined by maximizing its profit, which is achieved by setting the marginal cost equal to the market price. In this case, the supply function for each firm can be derived by taking the derivative of the profit function with respect to the price of output (p).

(b) The input demand functions for the firm can be derived by maximizing the profit function with respect to each input price. The degree of homogeneity of the input demand functions can be determined by examining the exponents of the input prices. In this case, the degree of homogeneity is 1/2. Changes in the input prices will affect the firm's input demand as it adjusts its input quantities to maximize profit.

(c) The market supply function can be derived by aggregating the individual supply functions of all firms in the market. Since there are 40 identical firms, the market supply function can be obtained by multiplying the supply function of a single firm by the total number of firms (40).

(d) To determine the total market supply, we substitute the given market conditions and demand function into the market supply function. By solving for the market quantity at a given market price, we can calculate the total market supply.

In conclusion, the firm is operating in the long run, and its supply function is determined by profit maximization. The input demand functions have a degree of homogeneity of 1/2, and changes in input prices impact the firm's input demand. The market supply function is derived by aggregating the individual firm supply functions, and the total market supply can be calculated using the given market conditions and demand function.

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