Here are the first four terms of an arithmetic sequence.
5
12
19
26
Write down an expression, in terms of n, for the nth term of the sequence.

Answer:

x ≥ 22/5

Step-by-step explanation:

I used a calculator called MathPapa

Answer:

96

Step-by-step explanation:

Given

- 8 × - 6 × 2 ( the product of 2 negatives is a positive )

= 48 × 2

= 96

Answer:

1,533 days.

Step-by-step explanation:

4.2 times 360. give me brain

Answer:

\(\displaystyle 1\frac{2}{5}=\frac{7}{5}\)

Step-by-step explanation:

\(\displaystyle a\frac{b}{c}=\frac{ac+b}{c}\\\\1\frac{2}{5}=\frac{(1)(5)+2}{5}=\frac{5+2}{5}=\frac{7}{5}\)

Answer: The value of x-24 would be 24

Step-by-step explanation:

x - 24 = 0

add 24 to both sides

x - 24 + 24 = 0 + 24

x = 24

Answer:

D...

Step-by-step explanation:

Feeling Lucky..

Answer:

To find the solutions of the equation x^2+4x+3=0, you can use the quadratic formula:

x = (-b +/- sqrt(b^2 - 4ac)) / (2a)

where a, b, and c are the coefficients of the quadratic equation. In this case, a = 1, b = 4, and c = 3. Plugging these values into the formula gives:

x = (-4 +/- sqrt(16 - 413)) / (2*1)

x = (-4 +/- sqrt(4)) / 2

x = (-4 +/- 2) / 2

This means the two solutions for x are (-4 - 2) / 2 = -3 and (-4 + 2) / 2 = -1.

So the biggest and lowest numbers you can get with the number x^2+4x+3=0 are -3 and -1, respectively.

Answer: The biggest number is  x= -1 and

                   the lowest number is    x= -3 .

Step-by-step explanation: Solution

or, x^2+4x+3=0

or, x^2+ ( 3+1 )x+3=0

or, x^2+3x + x +3=0

or, x (x + 3)+ 1(x + 3)=0

or, (x + 3) (x + 1)=0

Either,

        (x + 3)= 0  ,    (x + 1)= 0

     or, x= -3       ,    x= -1

Therefore, The biggest number is  x= -1 and

                   the lowest number is    x= -3 .

The equation of the line that passes through the point (2, -7) and has a slope of -4 is y = -4x + 1

The formula for determining the equation of a line is expressed as;

y = mx + c

Where;

From the information given, we have that;

Now, substitute the value into the formula to determine 'c'

-7 = -4(2) + c

expand the bracket

-7 = -8 + c

collect like terms

c = -7 + 8

c = 1

The equation would be written as;

y = -4x + 1

Thus, the equation of the line that passes through the point (2, -7) and has a slope of -4 is y = -4x + 1

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Answer:

Step-by-step explanation:

So we do it this way.

[2+2 x(-2)+3]^2

2x-2 =-4

Multiplication comes first

Then we do addition

(negatives last)

2+3+(-4) = 1

1^2=1

Hope this helps!^^

Answer:

D. All squares are parallelograms. (Correct)

Answer:

42

Step-by-step explanation:

Answer:

Step-by-step explanation: This week, I had a question in math class about the different types of angles, such as alternate interior angles theorem, alternate exterior angles, same-side interior angles, same-side exterior angles, corresponding angles, concurrent lines, perpendicular lines, and a few more types of angles about lines and knowing what matches to what type of angle. Yes, I did ask a few questions when I was confused about certain lines and how they have this angle, such as a concurrent line. Yes, my question was answered. I actually enjoy asking questions because if I don't learn what I'm confused about, how will I know how to improve and avoid making the same mistakes? Yes, I had someone else ask the same question I had before, whether it was something new learned in class or something confusing or difficult to learn. It made me feel relieved and grateful because I'm glad I wasn't the only one who was confused, and it makes it easier when someone else doesn't understand the same step, and challenges when learning new things. The questions we ask lead to new discoveries. Questions lead us to answers we never considered before we asked the question. Of course, one cannot simply ask question after question without considering possible answers. Many people, on the other hand, are afraid that by asking questions, they will appear weak, ignorant, or unsure. They are afraid that asking questions will place them in a negative light. Lastly, some people are so eager to get things done that they don't stop to ask questions because it might slow them down.

The correct comparison between the t-distribution and z-distribution is:

The density curve of the t-distribution is more spread out than the density curve of the z-distribution, especially for small sample sizes.

Both t-distribution and z-distribution have symmetric density curves.

However, for small sample sizes, the t-distribution curve is more spread out and has heavier tails compared to the z-distribution curve.

The area under both curves is equal to 1, as they represent probability distributions.

As the sample size increases, the t-distribution curve approaches the z-distribution curve in shape.

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The mean score for the test is 80.

We have,

To find the mean score for the test, we can use the relationship between the mean, the standard deviation, and the z-score.

The formula for the z-score is:

z = (x - μ) / σ

Where:

z is the z-score,

x is the given score,

μ is the mean, and

σ is the standard deviation.

In this case, we know that Cathy's score (x) is 74 and it is 1 standard deviation below the mean (z = -1).

The standard deviation (σ) is given as 6.

Plugging these values into the z-score formula, we can solve for the mean (μ):

-1 = (74 - μ) / 6

Multiplying both sides by 6:

-6 = 74 - μ

Rearranging the equation:

μ = 74 + 6

μ = 80

Thus,

The mean score for the test is 80.

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The balloon will be collapsed due to the excess pressure.

if we press on a balloon that is already filled by air stretched over the jar, the air of the jar will enter the balloon and create excess pressure beyond its tolerance and finally the balloon will be collapsed.

as the air-filled balloon is pressed directly over a jar, there is no way to leakage of air, besides the air of jar enter the balloon causes high pressure on the wall of balloon and finally it is destroyed. The result represents the presence of gases inside any empty bottle as well as any jar.

hence, we understand that every empty jar or bottle has gaseous substances with them.

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Answer:

the answer is 350

Step-by-step explanation:

500$-30%350$

The value of the indicated length RT is 8.45 meters

The given parameters are

The above means that

RT = 1/2 * ST

So, we have

RT = 1/2 * 16.9

Evaluate the products

RT = 8.45

Hence, the value of the indicated length RT is 8.45 meters

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the utilization is approximately 1.67%, which is closest to option A. 33.39%.

Given:

- The bank teller serves one customer in 5 minutes.

- The demand is 12 customers per hour.

To find the average time per customer, we can invert the rate of serving customers per minute:

Average time per customer = 1 / (12 customers/hour  60 minutes/hour) = 1 / 720 customers/minute

Utilization is defined as the ratio of time spent serving customers to the total available time. Since the total available time is 60 minutes per hour, we can calculate the utilization as follows:

Utilization = (Time spent serving customers / Total available time)  100%

Time spent serving customers = Average time per customer  Number of customers

Time spent serving customers = (1 / 720 customers/minute)  (12 customers/hour)

Time spent serving customers = 12 / 720 hours

Utilization = (Time spent serving customers / Total available time)  100%

Utilization = (12 / 720 hours) / (1 hour)  100%

Utilization = 12 / 720  100%

Utilization = 1.67%

Therefore, the utilization is approximately 1.67%, which is closest to option A. 33.39%.

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Step-by-step explanation:

What you do pretty much is combine the parts with f and combine the regular numbers

\( - 2.6f + 0.3f = - 2.3f\)

\( - 15 - 4 = - 19\)

\( - 2.3f - 19\)

The extended Euclidean algorithm, we have shown that there exist x,y∈G such that |x|=m and |y|=G and G=xy.

Let G be a group and m∈G an order element, where m and G are relatively prime positive integers. To prove that there exists x,y∈G such that |x|=m and |y|=G and G=xy, we can use the fact that since G and m are relatively prime, there exist integers a and b such that am + bG = 1 (by the extended Euclidean algorithm). This implies that m = (1-bG)/a and G = (1-am)/b.

Let x = (1-bG)/a and y = (1-am)/b, then since |x| = |(1-bG)/a| = m and |y| = |(1-am)/b| = G, we have that |x| = m and |y| = G.

Additionally, since xy = (1-bG)/a * (1-am)/b = 1-bG -am + (abGm)/ab = 1, we have G=xy, proving our statement.

Therefore, by using the extended Euclidean algorithm, we have shown that there exist x,y∈G such that |x|=m and |y|=G and G=xy.

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Hans would take 13.5 seconds to run 50 meters

Priya would take 12 seconds to run 50 meters

--------------------------------------------------------------------------------

Since they each ran 10 meters for a certain amount of time you would multiply the seconds by 5 since 10x5=50

When you do that you get

13.5 for Han's time by multiplying 2.7x5=13.5

and

12 seconds for Priya's time by multiplying 2.4x5

Answer: Look below

Step-by-step explanation:

10% = $120.90

1% = $12.09

11% = $132.99

$1,209 + $132.99 = $1,341.99

She made a $132.99 profit or $1,341.99

—————————————————————

8% = 96.72

$1,341.99 - $96.72 = $1245.27

————————————————

Or if it is $96.72 off the price she bought it then it would be

$1,209 - $96.72 = $1,112.28

Answer:

-3 >-5

5>-4

Step-by-step explanation:

Negative 3 is closer to zero so that statement is true. Also it's obvious 5 is greater than negative 4

hope this helps. Please mark me brainiest          

Answer:

you add the leghts together then subtract and see whats missing, tahts your answer

Step-by-step explanation:

The possible dimensions (length and width) of the field are:(10 m × 13 m) or (13 m × 10 m) and (11 m × 12 m) or (12 m × 11 m).

Given that Aaron has 47m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank. The fourth side of the enclosure would be the river.

The area of the land is 266 square meters.To find the possible dimensions (length and width) of the field, we can use the given information.The length of fencing required = 47 m.

Since the fence needs to be built on three sides of the rectangular plot, the total length of the sides would be 2l + w = 47.1. When l = 10 and w = 13, we have:

Length of the field, l = 10 m Width of the field, w = 13 mArea of the field = l × w = 10 × 13 = 130 sq. m2. When l = 11 and w = 12,

we have:Length of the field, l = 11 m

Width of the field, w = 12 m

Area of the field = l × w = 11 × 12 = 132 sq. m

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Answer:

your answer should be b= 17