Find the slope of the line that passes through (5, 9) and (2, 2).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer:

{3, 4, 5}

Step-by-step explanation:

Domain is all the x's

Answer:

B. {3, 4, 5}

Step-by-step explanation: got it right on edge

The terms that explains the value of Sin(pi/3) on the unit circle would be Sin(pi/3) = Opposite side of angle.

According to the statement

we have to give the terms which explain the sin (pi/3) perfectly.

And we have choose these terms from the these below written conditions like From Right Triangle, Hypotenuse, and unit circle.

And Now we explain all terms below

So,

"Right Triangle is a triangle whose one of the angle measures 90° "

And "The hypotenuse is a longest side of the right triangle.

And"Unit Circle is a circle with radius 1."

For given question,

We have been  given a unit circle.

So, We need to find the sin (pi/3)

We know, in a right triangle for any angle , θ

Sinθ = Opposite side of angle / Hypotenuse

So, for , Sin(pi/3) = Opposite side of angle / 1

Sin(pi/3) = Opposite side of angle

Therefore, The terms that explains the value of Sin(pi/3) on the unit circle would be Sin(pi/3) = Opposite side of angle.

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The probability of finding that 50 or fewer contractors use the brand in a random sample of size 120 is approximately 0.0000142 (rounded to 4 decimal places).

To calculate the probability of finding that 50 or fewer contractors use the brand of wire in a random sample of size 120, we can use the normal approximation to the binomial distribution. This approximation assumes that the binomial distribution can be approximated by a normal distribution.

Given:

Probability of success (p) = 0.60

Sample size (n) = 120

Desired outcome: Finding that 50 or fewer contractors use the brand.

To apply the normal approximation, we calculate the mean (μ) and standard deviation (σ) of the binomial distribution:

μ = n * p

σ = sqrt(n * p * (1 - p))

Substituting the values, we have:

μ = 120 * 0.60 = 72

σ = sqrt(120 * 0.60 * (1 - 0.60)) ≈ 5.271

Next, we calculate the z-score, which measures the number of standard deviations an observation is from the mean:

Z = (X - μ) / σ

To find the probability of finding 50 or fewer contractors using the brand, we calculate the cumulative probability up to 50:

P(X ≤ 50) ≈ P(Z ≤ (50 - μ) / σ)

P(X ≤ 50) ≈ P(Z ≤ (50 - 72) / 5.271)

Using a standard normal distribution table or calculator, we can find the probability associated with this z-score.

Calculating the z-score, we get:

Z ≈ (50 - 72) / 5.271 ≈ -4.174

Using a standard normal distribution table or calculator, we find that the probability associated with a z-score of -4.174 is approximately 0.0000142.

Therefore, in a random sample of 120 contractors the probability that 50 or fewer of them employ the brand is around 0.0000142 (rounded to 4 decimal places).

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The probability of taking a random sample of size 120 from the electrical contractors and finding that 50% or less use the specified brand of wire is approximately 0.0322. This was determined using the principles of binomial distribution and standardization.

The subject of this question falls in the category of statistics and probability. Specifically, it refers to the concept of binomial distribution. The binomial distribution deals with the number of successes in a fixed number of independent Bernoulli trials with the same probability of success. In this case, our Bernoulli trial is whether an electrical contractor uses a particular brand of wire or not.

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The measure of the base and the height of the parallelogram are;

Height = 3 ft

Base = 9 ft

The formula for the area of a parallelogram is expressed as;

Area = Base × Height

From the question, we are told that the base of the parallelogram is 6 ft more than the height. Thus;

Base = 6ft + h

If the area of the parallelogram is 27 ft^2​, then the measures of the base and the​ height is calculated as;

27 ft² = ( 6 + h ) × h

27 = 6h + h²

h² + 6h - 27 = 0

h² + 9h - 3h - 27 = 0

h(h + 9) - 3(h + 9) = 0

(h + 9)(h - 3) = 0

h = -9 or 3

We will pick the positive one which is 3 and so;

height = 3ft

Base = 6 + 3

Base = 9ft

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Answer:

3

Step-by-step explanation:

3(1)-2= 1

2(1)+1 = 3

Answer:

I think it's c sorry if im wrong

The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.

a) (x1)² + (x2)² > 9

This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.

b) x1 + x2 ≤ 10

This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.

c) x1, x2 > 0

This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.

Now, let's analyze the intersection of these constraints:

Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).

To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.

If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).

Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.

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Answer:

30,000

Step-by-step explanation:

What I did was 6 divided by 100 and I got 0.06 times the the 500,000 and got 30,000 so your answer should be 30,000. Hope this helps and let me know if I'm wrong. have a great day!

Lakisha's total job benefits per year are (D) $58,196.

To find  Lakisha's total job benefits:

If Lakisha's employer pays $2,150 in health insurance and $86 in life insurance per year, and she also gets $3,520 in paid time off per year, then Lakisha's total job benefits per year are equal to:

Total Benefits = Health Insurance + Life Insurance + Paid Time Off + Annual Gross Pay

Therefore,  Lakisha's total job benefits per year are (D) $58,196.

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Answer The answer is D

Step-by-step explanation:

I got it correct on edg

Answer:

4. 1 units

Step-by-step explanation:

A diameter of a circle is equal to 2 of its radiuses. Just simply divide the diameter by 2.

We have this expression:

We need to do the following steps to solve the equation for t:

Then, t is the same as:

Then, the answer is (A - p)/pr.

With that launch, the ball should have a horizontal range the initial speed of the ball is approximately 35.55 m/s.

To determine the initial speed of the ball, we can analyze the vertical and horizontal components of its motion separately.

Let's start by examining the vertical component. The ball is launched at an angle of 45 degrees, so the initial velocity can be divided into vertical and horizontal components:

V₀x = V₀ * cos(45°)   (horizontal component)

V₀y = V₀ * sin(45°)   (vertical component)

In this case, we want the ball to return to the launch level, which means the vertical displacement is zero. Using the equation for vertical displacement, we can find the time it takes for the ball to reach its maximum height:

Δy = V₀y * t - (1/2) * g * t²

Since Δy is zero (returning to the launch level), we can solve for t:

0 = V₀y * t - (1/2) * g * t²

Simplifying the equation, we get:

(1/2) * g * t² = V₀y * t

t = 2 * V₀y / g

Now we can move on to the horizontal component. We are given the horizontal range (R) as 120.0 m. The horizontal range is given by the equation:

R = V₀x * t

Substituting the expression for t we found earlier:

R = V₀ * cos(45°) * (2 * V₀y / g)

Since cos(45°) = sin(45°) = 1/√2, we can simplify further:

R = (V₀² / g) * (2 * 1/√2 * 1/√2)

R = (V₀² / g) * 1

R = V₀² / g

Now we can solve for the initial velocity, V₀:

V₀² = R * g

V₀ = √(R * g)

Plugging in the given values, where R = 120.0 m and g = 9.8 m/s²:

V₀ = √(120.0 * 9.8)

V₀ ≈ 35.55 m/s

Therefore, the initial speed of the ball is approximately 35.55 m/s.

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Answer:

Angle BCD = 73 + 53 = 126 degrees

Step-by-step explanation:

The binary representations are a) 0.11000110, b) 0.10000010 and c) 0.10100000.

Let's convert the given real numbers to binary with 8 binary places after the radix point.

A. 0.11:

To convert 0.11 to binary, we can use the following steps:

Multiply 0.11 by 2:

0.11 × 2 = 0.22

Take the integer part of the result, which is 0, and write it down.

Multiply the decimal part of the result by 2:

0.22 × 2 = 0.44

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.44 × 2 = 0.88 (integer part: 0)

0.88 × 2 = 1.76 (integer part: 1)

0.76 × 2 = 1.52 (integer part: 1)

0.52 × 2 = 1.04 (integer part: 1)

0.04 × 2 = 0.08 (integer part: 0)

0.08 × 2 = 0.16 (integer part: 0)

0.16 × 2 = 0.32 (integer part: 0)

0.32 × 2 = 0.64 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.11000110

Therefore, the binary representation of 0.11 with 8 binary places after the radix point is 0.11000110.

B. 0.51:

To convert 0.51 to binary, we can use the same steps:

Multiply 0.51 by 2:

0.51 × 2 = 1.02

Take the integer part of the result, which is 1, and write it down.

Multiply the decimal part of the result by 2:

0.02 × 2 = 0.04

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.04 × 2 = 0.08 (integer part: 0)

0.08 × 2 = 0.16 (integer part: 0)

0.16 × 2 = 0.32 (integer part: 0)

0.32 × 2 = 0.64 (integer part: 0)

0.64 × 2 = 1.28 (integer part: 1)

0.28 × 2 = 0.56 (integer part: 0)

0.56 × 2 = 1.12 (integer part: 1)

0.12 × 2 = 0.24 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.10000010

Therefore, the binary representation of 0.51 with 8 binary places after the radix point is 0.10000010.

C. 0.625:

To convert 0.625 to binary, we can use the same steps:

Multiply 0.625 by 2:

0.625 × 2 = 1.25

Take the integer part of the result, which is 1, and write it down.

Multiply the decimal part of the result by 2:

0.25 × 2 = 0.50

Again, take the integer part (0) and write it down.

Repeat steps 3 and 4 until you reach the desired precision (8 binary places after the radix point).

0.50 × 2 = 1.00 (integer part: 1)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

0.00 × 2 = 0.00 (integer part: 0)

Write down the integer parts obtained in step 4 and 5, in order:

0.10100000

Therefore, the binary representation of 0.625 with 8 binary places after the radix point is 0.10100000.

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Answer:

y + 9 ≤ -30

Step-by-step explanation:

Thus, the value of f6 using a 3-day weighted moving average with w1 is 60.

To calculate the 3-day weighted moving average with w1 for the value of f6, we need to first calculate the weighted average for the past three days.

The formula for weighted moving average is:

WMAt = [(P1 * w1) + (P2 * w2) + (P3 * w3)] / (w1 + w2 + w3)

where:
- WMAt is the weighted moving average for time t
- P1, P2, P3 are the values of the variable for the three time periods being averaged
- w1, w2, w3 are the weights assigned to each period (in this case, w1 = 1 and w2 = w3 = 0)

For the past three days, we have:

- Day 4: 60 rolls sold
- Day 5: 53 rolls sold
- Day 6: 60 rolls sold

Using the formula above with w1 = 1 and w2 = w3 = 0, we get:

WMA6 = [(60 * 1) + (53 * 0) + (60 * 0)] / (1 + 0 + 0) = 60

Therefore, the value of f6 using a 3-day weighted moving average with w1 is 60.

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Answer:

q=4(p-r)

Step-by-step explanation:

p-r=q/4

4(p-r)=q

answer: \(4p + r = q\)

work:

\(p = \frac{q}{4} -r\)

\(p + r = \frac{q}{4}\)

\(4 *p+r=\frac{q}{4} *4\)

\(4p + r = q\)

Answer: 5/6

Step-by-step explanation:

(4/9)/(8/5)=5/6

Answer:

x = 44/7

Step-by-step explanation:

7x+3 = 47

Subtract 3 from each side

7x+3-3 = 47-3

7x = 44

Divide by 7

7x/7 = 44/7

x = 44/7

The best sports that need more flexibility of our body are:

Because your muscles will be strong enough to support your daily activities if they are under the proper level of strain, you will feel less aches and pains. Its advantages for the mind must also be mentioned. Stretching releases tension, which reduces stress. Overall, flexibility enhances posture, mobility, coordination, and risk of muscular discomfort. Spending time on increasing flexibility is worthwhile. Which sports are the best to achieve it knowing this?

Now that we've cleared everything up, what exactly is flexibility? The range of motion in a joint or collection of joints is referred to as flexibility. Flexibility in one joint doesn't always translate to flexibility in another.

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The highest common factor, HCF of 18, 54, and 81 is 9.

The highest common factor is the highest factor or number that can divide two or more numbers evenly without a remainder.

The common factors of 18, 54, and 81 are 1, 2, 3, 6, and 9 because each of these numbers can divide the three numbers without a remainder.

Based on the common factors of 18, 54, and 81, we can identify that the highest factor is 9.

The highest common factor, HCF, is also described as the greatest common factor, GCF.

Thus, the HCF of 18, 54, and 81 is 9.

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What is the HCF of 18, 54, and 81?

Answer: 390,000

Step-by-step explanation:

Answer:

390 000

Step-by-step explanation:

because 87 rounded to the nearest ten is 90, so it is 390 000

Answer:

the answer is $299.2

Step-by-step explanation:

The Angle Bisector Equidistant Theorem Converse (ABET Converse) states that if a point is equidistant from the sides of an angle, then it lies on the angle bisector.

To understand the ABET Converse, we first need to understand the Angle Bisector Equidistant Theorem (ABET). The ABET states that if a point lies on the angle bisector of an angle, then it is equidistant from the sides of the angle. In other words, if we draw an angle and then bisect it (i.e., draw a line that splits the angle into two equal parts), any point on that line will be equidistant from the sides of the angle. The ABET Converse simply flips this idea around. It states that if a point is equidistant from the sides of an angle, then it must lie on the angle bisector. So, if we have a point that is the same distance from both sides of an angle, then that point must lie on the line that bisects the angle.

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Answer:

f(x)-5 = g(x)

Step-by-step explanation:

We translate the function g(x) down 5 units from the function f(x)

g(x) = f(x) -5

Rewriting

f(x)-5 = g(x)

Answer:

Option A

Step-by-step explanation:

f(x) and g(x) are exponential functions

We can see that f(x) is shifted 5 units down

So change in y

hence 5 is to be subtracted

Therefore ,as a  result unitary method they just have sufficient flour to complete their recipes because they require roughly 4.08 c of wheat and only have 4 c.

In order to solve a problem using the unitary approach, you must first determine how much of a small subset there is, then multiply that number by two. Simply expression, the unit approach is utilized to isolate a common programming value from the a given set. For instance, 40 pens cost 400 rupees ($1.01) each, or Rs. It's possible that the method utilized to accomplish this will be governed by just one country. Each every thing has a distinctive quality. Its reciprocity and integration capabilities are the same (mathematics, algebra).

Here,

Given : Flour is available in 4c.

Eliza requires 2 1/3 cups of flour.

1 3/4 c of flour is required by Jaime.

All mixed numbers must first be converted into fractions before we can total the two amounts to determine if we have enough flour.

=> 2* 1/3 =7/3

=> 1* 3/4 = 7/4

Now, we add.

=> 7/3 +7/4

=> 28+21/ 12

=> 49/12

=> 4.08

As a result, they just have sufficient flour to complete their recipes because they require roughly 4.08 c of wheat and only have 4 c.

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Answer:

0.06

Step-by-step explanation:

125% × ? = 0.08

? =

0.08 ÷ 125% =

0.08 ÷ (125 ÷ 100) =

(100 × 0.08) ÷ 125 =

8 ÷ 125 =

0.064 ≈

the answer is x3

11x3=33

5x3=15

multiply by 3 on all of them    

mark brainliest plz

Answer:

-8/7

Step-by-step explanation:

In fraction form, division means reversed multiply.

You have -3/7 divide 3/8 which also means -3/7 multiply by 8/3, which will be -24/21. The common factor of 24 and 21 is 3 so we simplify both the numerator and denomitator by 3 and the final answer will be -8/7.