How would you solve for these
1. 2x > –42

2. x/3 ≤ -7

3. x/-4 ≥ -4

4. 8(1/2 x -1/4) ≤ 1

Answer:

D

Step-by-step explanation:

11 per 1,000

Answer:

(4, 2 )

Step-by-step explanation:

y = x - 2 → (1)

y = - 0.5x + 4 → (2)

substitute y = x - 2 into (2)

x - 2 = - 0.5x + 4 ( add 0.5x to both sides )

1.5x - 2 = 4 ( add 2 to both sides )

1.5x = 6 ( divide both sides by 1.5 )

x = 4

substitute x = 4 into (1)

y = 4 - 2 = 2

solution is (4, 2 )

The electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.

To determine the electron domain charge cloud geometry of \(BrF_5\), we need to examine the number of electron domains around the central atom (Br).

\(BrF_5\) consists of one central bromine atom (Br) surrounded by five fluorine atoms (F). Each bond and lone pair of electrons represents an electron domain.

In \(BrF_5\), there are five bonding pairs (Br-F) and no lone pairs around the central bromine atom. Therefore, the total number of electron domains is five.

Based on this information, the electron domain charge cloud geometry of \(BrF_5\) is trigonal bipyramidal.

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Answer: An inequality for the expected population, p, next year can be written using the information provided. Since the population is expected to grow between 5% and 8% per year, we can represent that as a range of growth rates: 0.05 <= growth rate <= 0.08

To find the expected population next year, we can use the formula:

p = population * (1 + growth rate)

where "population" is the current population of 50,000 and "growth rate" is the percentage increase. Since the growth rate is expected to be between 0.05 and 0.08, we can write the inequality as:

50,000 * (1 + 0.05) <= p <= 50,000 * (1 + 0.08)

This inequality represents the expected range of population next year, with the lower bound being the population if it grows by 5% and the upper bound being the population if it grows by 8%.

Simplifying the inequality:

52,500 <= p <= 54,000

So the expected population next year, p, is between 52,500 and 54,000.

Step-by-step explanation:

Answer:

I will say A because is the one that makes more sense and is actually the one that is discrimination the equation

Answer: 243

Step-by-step explanation: the thing that happens every time is the number gets multiplied by 3. 1/3, 1, 3, 9, 27, 81, 243

hope this helps!

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Answer:243

Step-by-step explanation:The terms are being multiplied by 3. 1/3 times 3 is 1, 1 times 3 is 3, 3 times 3 is 9.

Answer:

We do this by dividing 360° by the size of one exterior angle, which is 72°. The answer is 360° ÷ 72° = 5 sides. to see whether you are correct.

Answer:

\((2 + \sqrt{3}) - (1 + \sqrt{3})i\)

Answer:

  (b)  (2+√3) -(1+√3)i

Step-by-step explanation:

Add like terms. Real terms are added; imaginary terms are added.

  (√3 -i) + (2-√3i) = (√3 +2) +(-i -√3i)

  = (√3 +2) -i(1 +√3) . . . . . the common factor of -i can be factored out

  = (2 +√3) -(1 +√3)i

Answer:

A clockwise rotation of 90° about the origin

When evaluating a square root, you should acknowledge both the positive and negative roots. Hence, the given statement is false.

The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

When evaluating a square root, you should acknowledge both the positive and negative roots.

Example: √8

= √(4×2)

= ±2√2

Hence, the given statement is false.

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The sum of the series are: i) \(\int_n^{n-1}x_n\),

\(n = 2 = x^2/(1 - x)^2\)

ii) \(\int n_2-n/4n\),

n = 2

= 1/4

iii) \(\int\frac{n_2}{2n}\), n = 1 = 1

The geometric series is given as

\(\int x_n=\frac{1}{(1-x)} ,n=0\)

and the series for |x| < 1 is given as

\(\int nxn-1=\frac{d}{dx} (\frac{1}{1-x} ),n=1\)

Therefore, the sum of the series for |x| < 1 is:

\(\int nxn-1=\frac{d}{dx} (\frac{1}{(1-x)} )\)

= \(\frac{1}{(1-x)^2}\)

The value of sum \(\int x_{n} =\frac{1}{(1-x)} ,n=0\)

Therefore, the sum of the series is given as,

\(\int n \times n-1 = d/dx (1/(1-x))\)

\(= 1/(1 - x)^2\)

\(\int x_n = 1/(1 - x), n = 0\)

Now, the sum of the series is:

\(\int n \times n-1 = d/dx (1/(1-x))\)

\(= 1/(1 - x)^2\)

\(= \int xn = 1/(1 - x)\), n = 0(b)

i). For the given series [infinity]nxn, n = 1,

the first term is \(x_1 = x\), the second term is \(x_2=x_2\) and the nth term is

\(x_n = x_n\).

Thus, the sum of the series

\(\int n \times n, n = 1\) is:

\(\int n \times n = x + x_2 + x_3 + ... + x_n\)

\(= x/(1-x)\)

ii). For the given series\(\int n8n\), n = 1, the first term is 1 and the common ratio is 8.

Therefore, the series is in the form of \(\int ar^n-1\), where a = 1 and

r = 8.

Using the formula, the sum of the series is given as:

\(\int ar^{n-1\) = a/(1-r) = 1/(-7) = -1/7(c)

i). For the given series \(\int n(n-1)x_n\), n = 2, the first term is \(x_2\) and the common ratio is x.

Therefore, the series is in the form of \(\int ar^{n-1\), where a = x₂ and

r = x.

Using the formula, the sum of the series is given as:

\(\int\ ar^{(n-1)}=a/(1-r)\\\\\frac{x_2}{(1-x)^2}\)

ii). For the given series \(\int n_2-n/4n\), n = 2, the first term is 1/8 and the common ratio is 1/2.

Therefore, the series is in the form of \(\int ar^{n-1\),

where a = 1/8 and r = 1/2.Using the formula, the sum of the series is given as: \(\int ar^{n-1\) = a/(1-r)

= (1/8)/(1/2)

= 1/4

iii). For the given series \(\int n_2/2n\), n = 1, the first term is 1/2 and the common ratio is 1/2.

Therefore, the series is in the form of

\(\int ar^{n-1\),

where a = 1/2 and r = 1/2.

Using the formula, the sum of the series is given as:

\(\int ar^{n-1\) = a/(1-r)

= (1/2)/(1/2)

= 1

Therefore, the sum of the series are:

i). \(\int n(n-1)x_n\),

n = 2

= \(x^2/(1 - x)^2\)

ii). \(\int n_2-n/4n\),

n = 2

= 1/4

iii). \(\int n_2/2n\),

n = 1

= 1

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Answer:

About 33% of students prefer chocolate icecream

Step-by-step explanation:

The actual percentage would be 35%, but none of the other answers are close enough to correct, so I'd have to say the bottom one.

hope this helps you :/

This is an example of a correlation between the two variables, where they tend to change together in a predictable way, but it does not necessarily imply causation.

This is an example of a correlation between the two variables. When two variables are correlated, they tend to change together in a predictable way. In other words, when one variable goes up, the other tends to go up as well, or when one variable goes down, the other tends to go down as well.

It's important to note that correlation does not necessarily imply causation. Just because two variables are correlated, it does not mean that one causes the other. There may be other factors that influence both variables, or the correlation may be coincidental. To establish causation, a more rigorous study design and analysis is required.

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Answer:

a₅₀ = 250

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 5 and d = a₂ - a₁ = 10 - 5 = 5 , then

a₅₀ = 5 + (49 × 5) = 5 + 245 = 250

Answer:

B. Zero

Step-by-step explanation:

The slope of the line is in the the first two quadrants and is horizontal, meaning it has zero slope.

Answer:

Zero slope :)

Step-by-step explanation:

A zero slope is a horizontal line. When there is a zero slope, y will be equal to a constant. :)

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Answer:

167........... .......

Answer:

I think its neither because

Step-by-step explanation:

Parallel lines and their slopes are easy. Since slope is a measure of the angle of a line from the horizontal, and since parallel lines must have the same angle, then parallel lines have the same slope — and lines with the same slope are parallel. Perpendicular lines are a bit more complicated.

Answer:

perpendicular

Step-by-step explanation:

They form a 90 degree angle because one is vertical and the other is horizontal.

Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

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Answer:

3.75

Step-by-step explanation:

Follow PEMDAS

P = parentheses so first it will turn to 30 divided by 3 times 5

E = exponents we dont have any

M = multiplication 30 divided by 8

D = division = 3.75

According to the question The local sidereal time (LST) at noon on March 21st is approximately 12:00 (option c).

To determine the LST, we need to consider the rotation of the Earth and its relation to the stars. LST is based on the apparent motion of the vernal equinox, which completes a full cycle in approximately 24 hours.

Since noon is halfway through the day, we can estimate that the LST at noon would be approximately half of 24 hours, which is 12:00. This assumes that we are considering a location where the local time is synchronized with the standard time zone and there are no factors like daylight saving time or variations in the location's longitude that can affect the LST calculation.

Therefore, the correct answer is option c) 12:00 local sidereal time.

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Answer:b

Step-by-step explanation:

The probability of getting a number < 9 is 28/37.

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as the probability. It has a range from 0 to 1.

Probability(Event) = Favorable Outcomes / Total Outcomes

Main Body:

Total numbers on the spinner greater than 9  = 37 - 10 + 1 = 28

(we are subtracting 10 because we need number that is greater than 10.)

and adding 1 because both the ends of interval is counted.

total numbers on spinner =37

P( x>9) = 28/37.

Hence the probability of getting a number greater than 9 on spinning is 28/37.

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Answer:

x = 3

Step-by-step explanation:

3x + 2 + 3(1+x) = 23

3x + 2 + 3 + 3x = 23

6x + 2 + 3 = 23

6x + 5 = 23

6x = 18

x = 3

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

Straight line = 180 degrees

 all three of the angles sum to 180 degrees

42  + x + 29 = 180

x = 180 - 42 - 29 = 109 degrees