Which inequality is true for x=20
A. x+30>3x B. x-5<2x-35 C. x/4>x-12 D. 2x

Answer:

y = x + 3

Step-by-step explanation:

Parallel: x - y = 5 -> y = x - 5

Take the slope from Parallel. m = 1

Point (-5,-2) = (x_0, y_0) ,  m = 1

Point-Slope Form: \((y - y_0) = m * (x - x_0)\)

(y - (-2)) = 1 * (x - (-5))

y + 2 = 1x + 5

y = x + 3

As for the constant speed, the resultant force on the plane is 0N.

Constant:

Constant refers the specific number or a symbol that is assigned a fixed value.

Given,

A plane is flying through the sky at a constant speed. The thrust of the aeroplane (making it go forwards) is 100n. Air resistance is also acting on the plane.

Here we need to find the resultant (overall) force be on the plane.

As we know that, The plane is moving at constant speed.

According to the Newton's 1st law, the net external force on plane must be zero. Because of the thrust produced by propeller and the air resistance are equal and are in opposite directions to produce zero net force.

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soln

given,

f(x) = 1

Now,

f(x) = 4x+11

or, -1 =4x +11

or,4x = 11+1

or, 4x = 12

or, x. =12/4

or x. = 3

Therefore, The value of x is 3.

The number of ways to choose 3 outfielders and 4 infielders from pools of 5 outfielders and 7 infielders is 350.

To find the number of ways, you can use the combination formula, which is C(n, r) = n! / (r! * (n-r)!), where n is the total number of options, and r is the number of choices.

For outfielders, there are 5 options (n) and you need to choose 3 (r). So, the combination is C(5, 3) = 5! / (3! * (5-3)!), which is 10 ways. For infielders, there are 7 options (n) and you need to choose 4 (r).

The combination is C(7, 4) = 7! / (4! * (7-4)!), which is 35 ways. To find the total number of ways, multiply the two results: 10 * 35 = 350 ways.

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the total number of candies in the store is 21600

given that there are (108)2 *100 candies in a store.

\(108 \times 2 \times 100 = 21600\)

so, the total number of candies in the store is 21600

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The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.

(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.

(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.

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New car prices to fall within is $18,300 - $41,900

Interval of prices would we expect at least 95% of new car prices to fall within Suppose that the average price for new cars has a mean of $30,100, a standard deviation of $5,600 and is normally distributed. Based on this information, the interval of prices that we would expect at least 95% of new car prices to fall within is $18,300 - $41,900.How to solve the problem? We know that the average price of new cars is $30,100 and the standard deviation is $5,600. The normal distribution has 95% of the data points within two standard deviations of the mean. Therefore, the interval of prices that we would expect at least 95% of new car prices to fall within is given by:Lower limit: $30,100 - 2 × $5,600 = $18,300Upper limit: $30,100 + 2 × $5,600 = $41,900Thus, the interval of prices that we would expect at least 95% of new car prices to fall within is $18,300 - $41,900.

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Considering the given quadratic function, the correct statement is given by:

The airplane reaches its maximum height of 95 feet in 10 seconds.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient. If a > 0, the vertex is a minimum point, and if a < 0 it is a maximum point.

In this problem, the function is:

h(t) = -(t - 10)² + 95.

Hence the vertex is (10, 95), and since a < 0, the correct statement is given by:

The airplane reaches its maximum height of 95 feet in 10 seconds.

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Answer: To find the value of the number that was removed, we can set up equations based on the given information.

Let's assume the four numbers are A, B, C, and D.

The mean of the four numbers is 18:

(A + B + C + D) / 4 = 18

If one of the numbers is removed, the mean of the three remaining numbers is 17:

(A + B + C) / 3 = 17

Now, let's solve these equations:

From equation 1, we have:

A + B + C + D = 72

From equation 2, we have:

A + B + C = 51

By subtracting equation 2 from equation 1, we can find the value of D:

(A + B + C + D) - (A + B + C) = 72 - 51

Simplifying, we get:

D = 21

Therefore, the value of the number that was removed is 21.

Two solutions:

1. x =(100-√2160)/2=50-6√ 15 = 26.762

2. x =(100+√2160)/2=50+6√ 15 = 73.238

The probability of the event that the number 1 and 2 are separated into the same group is 0.48.

The integer from 1 to 10 are separated into 2 groups. Now, the ways of making two group out of 10 integers is,

= ¹⁰C₅

= 252.

Now, the total possible ways in which 1 and 2 will be in the same group is,

= 1 + 1 + ¹⁰C³

= 1 + 1 + 120

= 122

Now, the probability that 1 and 2 are in same group is,

= 122/252

= 0.48

So, the probability of 1 and 2 being in same group is 0.48.

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Answer:

Yes

Step-by-step explanation:

\(\frac{18}{9} =\frac{2}{1}\)

The two ratios are,

→ 18 : 9 and 2 : 1

We have to find,

→ whether the ratios are equivalent?

Now simplify the first ratio,

→ 18(÷9) : 9(÷9) = 2 : 1

→ 2 : 1 = 2 : 1

Yeah, the two ratios are equivalent.

Answer:he team advisor randomly chooses 4 students to debate in the next competition. How many different ways can a team that includes Joseph, Malena, Carlos, and Abby be chosen? ... If two angles are congruent, then they are vertical angles.

Step-by-step explanation:

Dominic receives 12 pounds on an item whose usual price is 80 pounds

The given parameters are:

Discount =15%

Price = p

Amount of discount = d

The equation that represents the amount of discount offered (d) on an item whose usual price is p is

d = Discount * p

This gives

d = 15% * p

Evaluate

d = 0.15p

In (a), we have

d = 0.15p

Here, p = 80

So, we have

d = 0.15 * 80

Evaluate

d = 12

Hence, Dominic receives 12 pounds on an item whose usual price is 80 pounds

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Answer:

If the store is offering a discount of 15% off the usual price

the equation is \(D=0.15p\)

Dominic gets a £12

discount on an item whose usual price i

The term "content loaded in a test of the hypotheses" refers to the data and information used to perform the hypothesis test, which in this case resulted in a calculated p-value of 0.03.

Based on the information provided, the calculated p-value of 0.03 is less than the level of significance of 2%. This means that the null hypothesis can be rejected and the alternative hypothesis can be accepted.

Therefore, the decision is to reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis.

The term "content loaded in a test of the hypotheses" refers to the data and information used to perform the hypothesis test, which in this case resulted in a calculated p-value of 0.03.

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Answer:

if you click on the image it will show the answer. hope this helps you.

Answer: 1

Step-by-step explanation:

x^3 = 64

This means that we've to find a number that we'll multiply thrice that'll give 64. The number is 4.

Check: 4×4×4 = 64

Therefore x^3 = 64; x = 4

y^3 = 125

This means that we've to find a number that we'll multiply thrice that'll give 125. The number is 5.

Check: 5×5×5 = 64

Therefore y^3 = 125 ; x = 5

x=4, y= 5

y - x

=5 - 4

=1

There are 12 motorcycles in a company.

According to the statement

The ratio of cars, trucks, and motorcycles is 4:3:2.

The total number of cars and trucks is 42.

then

4x + 3x =42

7x = 42

x = 6.

now put these values in the ratio of vehicles.

Number of cars = 4*6 = 24

Number of truck = 3*6 = 18

Number of motorcycle  = 2*6 = 12

So, There are 12 motorcycles in a company.

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As per the unitary method, the amount saved by Aaron after one year is  $780

We can use the following formula to find out how much Aaron saves per month:

Amount saved per month = Total amount saved / Number of months

We can use this formula to find out how much Aaron saves per month for each period:

For the first period (3 months):

Amount saved per month = 195 / 3

= 65

For the second period (4 months):

Amount saved per month = 260 / 4

= 65

For the third period (6 months):

Amount saved per month = 390 / 6

= 65

For the fourth period (7 months):

Amount saved per month = 455 / 7

= 65

We can see that Aaron saves $65 per month, regardless of the time period. Therefore, we can use this value to find out how much he will save in one year (12 months):

Amount saved in 1 year = Amount saved per month x Number of months

= 65 x 12

= 780

Therefore, we can predict that Aaron will save $780 after one year.

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The dimensions of the room will be 12m x 6m.

So, now calculate the dimensions of the room as follows:

Solve as shown:

Therefore, 12m x 6m will be the dimensions of the room.

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The cost of walking this guest is $190.

The cost of walking the guest can be calculated by adding up the expenses incurred by the hotel.

The guest was walked to another hotel that charged a room rate of $150. Therefore, the hotel incurred a cost of $150 for the room.

In addition to the room cost, the hotel also paid for the guest's Uber ride to the new hotel, which was $15.

Furthermore, the overbooked hotel gave the guest a gift card worth $25. Although the gift card does not directly represent an expense, it can be considered as an opportunity cost for the hotel, as they could have used that money to cover other costs.

Therefore, the total cost incurred by the hotel for walking the guest is:

$150 (room cost) + $15 (Uber cost) + $25 (gift card cost) = $190

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Answer:

c is the correct answer

Step-by-step explanation:

Answer:

both points and rotational only

Answer:

I would say point and rotational symmetry SUPER MEGA sorry if im wrong

The Polygon Exterior Angles Sum Theorem can be proven using algebra.

To prove the Polygon Exterior Angles Sum Theorem, let's consider a polygon with n sides. We know that the sum of the exterior angles of any polygon is always 360 degrees.

Each exterior angle of a polygon is formed by extending one side of the polygon. Let's denote the measures of these exterior angles as a₁, a₂, a₃, ..., aₙ.

If we add up all the exterior angles, we get a total sum of a₁ + a₂ + a₃ + ... + aₙ. According to the theorem, this sum should be equal to 360 degrees.

Now, let's examine the relationship between the interior and exterior angles of a polygon. The interior and exterior angles at each vertex of the polygon form a linear pair, which means they add up to 180 degrees.

If we subtract each interior angle from 180 degrees, we get the corresponding exterior angle at that vertex. Let's denote the measures of the interior angles as b₁, b₂, b₃, ..., bₙ.

Therefore, we have a₁ = 180 - b₁, a₂ = 180 - b₂, a₃ = 180 - b₃, ..., aₙ = 180 - bₙ.

If we substitute these expressions into the sum of the exterior angles, we get (180 - b₁) + (180 - b₂) + (180 - b₃) + ... + (180 - bₙ).

Simplifying this expression gives us 180n - (b₁ + b₂ + b₃ + ... + bₙ).

Since the sum of the interior angles of a polygon is (n - 2) * 180 degrees, we can rewrite this as 180n - [(n - 2) * 180].

Further simplifying, we get 180n - 180n + 360, which equals 360 degrees.

Therefore, we have proven that the sum of the exterior angles of any polygon is always 360 degrees, thus verifying the Polygon Exterior Angles Sum Theorem.

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Answer:

Waves superimpose upon each other when they collide, while objects do not

Step-by-step explanation:

The main difference between the collision of waves and the collision of objects is simply the superposition principle.

When waves collide, they do not do so in the same way objects do. The superposition principle explains that waves can either collide in a constructive or destructive manner.

Case A: Waves colliding in a constructive manner

When waves collide in a constructive manner, this means that they are in phase, in simpler terms, it means that they have the same shape as they move through space-time. Constructive collision leads to a formation of a bigger wave with a higher amplitude. This is how stereo speakers operate. They produce louder sounds by releasing the same audio waves, causing them to superimpose upon each other.

Case B: Waves colliding in a destructive manner:

When waves are out of phase(i.e do not have the same shape as they move through space-time) and they collide, they try to cancel each other out, leading to a new wave with a weaker amplitude. This is how noise-cancelling headphones work. They emit an equal and opposite wave sound to the noise around your ears, thus cancelling it out.

Answer:

80 / C

Step-by-step explanation:

Easy peasy 161 divided by 2 is 80.5, but you can't buy half of a sign. Round downwards.

Answer:

C

Step-by-step explanation:

The distribution of salsa serves as the study's experimental unit.

Given info;

Six containers of salsa, two from each of the three alternative recipes, were distributed at random to six taste panels as part of a study to assess the quality of the salsa. A group of four skilled tasters made up each taste panel. For the given recipe, each panel agreed on a rating.

What does this study's experiment unit entail? why

Clearly from the above info, the experimental unit is to study the distribution of salsa.

Number of ways to distribute between the panels,

⇒ 3 * 4 * 6

= 12 * 6

= 72 ways

Hence, the experimental unit in this study is distribution of salsa.

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The required slopes are:

(a) slope = 4

(b) slope = 6/7

(c) slope =  -3

(d) slope = 4

(e) slope = -5/2

We know that,

When a line passing through (x₁, y₁) and (x₂, y₂)

Then  the slope of the line be,

slope (m) = (y₂ - y₁) / (x₂ - x₁)

Using this formula, calculate the slope for each given points

a. (9, 10) and (7, 2)

⇒ slope (m) = (2 - 10) / (7 - 9)

                    = -8/-2 = 4

So, the slope is 4.

b. (-8, -11) and (-1, -5)

⇒ slope (m) = (-5 - (-11)) / (-1 - (-8))

                    = 6/7

So, the slope is 6/7.

c. (5, -6) and (2, 3)

⇒ slope (m) = (3 - (-6)) / (2 - 5)

                    = 9/-3

                    = -3

So, the slope is -3.

d. (6, 3) and (5, -1)

⇒ slope (m) = (-1 - 3) / (5 - 6)

                    = -4/-1

                    = 4

So, the slope is 4.

e. (4, 7) and (6, 2)

⇒ slope (m) = (2 - 7) / (6 - 4)

                    = -5/2

So, the slope is -5/2.

Therefore, the slope of the line that joins (-8, -11) and (-1, -5) is 6/7.

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