⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ b(1)=−2 b(n)=b(n−1)−7 ​ Find the 3 rd 3 rd 3, start superscript, start text, r, d, end text, end superscript term in the sequence.

Answer:

I would go with the third one (the one on the bottom left) since that seems like me lol

The true statement about the interval is that:

The given interval is -7 ≤ x < -4, the numbers in the interval are

-7, -6, -5,

The numbers are all negative and the number starts from -7 but did not get to -4

since the interval starts from -7 which is a lesser number than -6 and a lesser when compared with -5 we say the interval is increasing

In negative numbers, the larger the number the lesser it has value and and lesser the number the closer it is to zero and the higher the number

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The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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Answer:

According to the "Triangle TheOrem", a triangles interior angles are always a 180°.

Therefore, to find the last remaining angle of the triangle, you will have to find the measure of the bottom angles (65° + 65° = 130°) THEN subtract 180° by 130°

65°  +  65° = 130° (measures of the two bottom angles)

180° - 130° (to find the remaining angle!) = 50°

ANSWER = 50°

Hope I helped! ^^

Answer: 41666666669 / 50000000003

Step-by-step explanation:

Answer:

a. The monthly payment of the 5-year loan would be the same as the monthly payment of the 4-year loan, since they have the same interest rate.

b. Since the 5-year loan has a longer repayment period, the total interest paid on the 5-year loan would be higher than the total interest paid on the 4-year loan. This is because interest is calculated based on the principal amount borrowed, and the longer the repayment period, the more interest will accrue.

As for the second part of the question, the length of the diagonal of a rectangle can be calculated using the Pythagorean theorem. In this case, the length of the diagonal would be:

Copy code

d = sqrt(20^2 + 15^2)

d = sqrt(400 + 225)

d = sqrt(625)

d = 25 feet

Therefore, the diagonal of the rectangular garden would be 25 feet long.

Point A is at (4,1).

Point B is at (1,5).

Imagine drawing that blue triangle with a point at (1,1).

The distance of that bottom side would be (4-1) = 3.

The distance of the left side would be (5-1) = 4.

You can just could these distances on the graph or subtract the coordinates.

Now use the pyth. Theorem to find the hypotenuse, which is the length of one of the edges of the square.

3^2 + 4^2 = c^2

9+16 = 25 = c^2, so c = 5.

All sides of a square are the same.

AB = 5

BC = 5

CD = 5

DA = 5

Perimeter = 5+5+5+5 = 20 units

Area = 5x5 = 25 sq units.

See screenshot attached.

Have a good afternoon.

The factorized form of 2y² - 5y + 2 is (2y - 1) (y - 2)

Given:

= 2y² - 4y - y + 2

= 2y(y - 2) - 1(y - 2)

= (2y - 1) (y - 2)

= 5x² - 5x + 7x - 7

= 5x(x - 1) + 7(x - 1)

= (5x + 7) (x - 1)

5x² + 2x - 7 = 0

5x² - 5x + 7x - 7 = 0

5x(x - 1) + 7(x - 1) = 0

(5x + 7) (x - 1) = 0

5x + 7 = 0 or x - 1 = 0

5x = - 7 or x = 1

x = -7/5 or x = 1

Therefore, the value of x for which 5x² + 2x - 7 = 0 is -7/5 or 1

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Answer:

Step-by-step explanation:

Answe

y = kx ⇒ k = y/x = 7/35

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

2/3 divided by 4= 2/3 x 1/4

2/3 x 1/4=2/12

2/12 simplifies to 1/6

If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.

In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.

It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.

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Total number of students in Ridgewood Junior High School are 184.

It is given in the question that:-

Number of students who brought their lunch = 46

Percent of students who brought their lunch = 25 %

We have to find the total number of students in Ridgewood Junior High School.

Let the total number of students be 4x.

Hence,

25 percent of 4x = (1/4)*4x = x = Number of students who brought their lunch

We know that 46 students brought their own lunch.

Hence, we can write,

x = 46

Hence,

Total number of students = 46*4 = 184 students.

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Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

Answer:

A=½bh

165=15b(½)

multiply both sides

330=15b

divide

22=b

Step-by-step explanation:

(x,y)=(-x,-y)

(0,-1)=(-0,1)

Answer:

pls dont kill me for wacky lines. this shall just give you a basic idea. the important part is the 90° angle

a. The sample proportion is calculated by dividing the number of voters in favor of the school bond measure (281) by the total number of voters in the sample (1000). Therefore, the sample proportion is 0.281.

b. The margin of error for a 90% confidence level can be calculated using the formula: margin of error = 1.645 x sqrt[(sample proportion x (1 - sample proportion)) / sample size]. Plugging in the values, we get: margin of error = 1.645 x sqrt[(0.281 x 0.719) / 1000] = 0.028.
c. The margin of error for a 95% confidence level can be calculated using the same formula: margin of error = 1.96 x sqrt[(sample proportion x (1 - sample proportion)) / sample size]. Plugging in the values, we get: margin of error = 1.96 x sqrt[(0.281 x 0.719) / 1000] = 0.032.
d. The 95% confidence interval can be calculated using the formula: sample proportion +/- (margin of error x z-score), where the z-score for a 95% confidence level is 1.96. Plugging in the values, we get: 0.281 +/- (0.032 x 1.96) = [0.219, 0.343]. Therefore, the 95% confidence interval is [0.219, 0.343].

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Answer: 31.2

Step-by-step explanation:

It would take 15 minutes and 48 seconds to run 1km if you run half a math r on in 2 hours 6 minutes. Here is how to solve the problem: We need to know how many km/h (kilometers per hour) the person is running in. To do that, we have to calculate the average speed: Half a math r on = 21.0975 km (because a full marathon is 42.195 km).2 hours and 6 minutes = 2 × 60 + 6 = 126 minutes.

So the average speed is: Average speed = Distance / Time = 21.0975 km / (126 minutes / 60) = 10 km/h (rounded to one decimal place)Now that we know the average speed, we can calculate how long it takes to run 1 km:10 km/h = 1000 m / (60 × 60 s) × x s, where x is the number of seconds it takes to run 1 km. Solving for x:x = (1000 m / (60 × 60 s)) / 10 km/h = 0.16666667 h. Then we need to convert hours to minutes: x = 0.16666667 h × 60 min/h = 10 min. So it takes 10 minutes to run 1 km.

Therefore, it would take 15 minutes and 48 seconds to run 1 km if you run half a math r on in 2 hours 6 minutes. Here is how to solve the problem: We need to know how many km/h (kilometers per hour) the person is running in. To do that, we have to calculate the average speed: Half a math r on = 21.0975 km (because a full marathon is 42.195 km).2 hours and 6 minutes = 2 × 60 + 6 = 126 minutes. So the average speed is: Average speed = Distance / Time = 21.0975 km / (126 minutes / 60) = 10 km/h (rounded to one decimal place)Now that we know the average speed, we can calculate how long it takes to run 1 km:10 km/h = 1000 m / (60 × 60 s) × x s, where x is the number of seconds it takes to run 1 km. Solving for x:x = (1000 m / (60 × 60 s)) / 10 km/h = 0.16666667 h. Then we need to convert hours to minutes: x = 0.16666667 h × 60 min/h = 10 min. So it takes 10 minutes to run 1 km. Therefore, it would take 15 minutes and 48 seconds to run 1 km if you run half a math r on in 2 hours 6 minutes.

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Answer:

You have written 26 pages in total.

Step-by-step explanation:

I always enjoyed adding fractions. Something about it is so... simple.

The problem is basically asking us to add 20 1/2 and 5 1/2 together.

I would first suggest adding both halves together, to make 1.

That way, we're left with 20 + 5 + 1. That seem easier, doesn't it?

Then we would add 20, 5 and 1 together, to get 26 whole pages.

And that, to an extent, is how I did it.

Hope this helps! :D

Answer:

Given:

Written pages for Act 1 = 20 1/2

Written pages for Act 2 = 5 1/2

For making mixed numbers like this easier to add, let's convert them first into an irrational number with this formula,

((Whole Number × Denominator) + Numerator)/Denominator

Thus,

for 20 1/2

((20 × 2) + 1)/2 = 41/2

for 5 1/2

((5 × 2) + 1)/2 = 11/2

Then we add,

41/2 + 11/2

Since, they have the same denominator, no more conversions need, proceed adding the numerators,

(41 + 11)/2 = 52/2 = 26

You've written 26 pages in total.

Answer:

The opposite of a positive number is a negitive number and vice versa!

Step-by-step explanation:

-5 , 5

28 , -28

-10.4 , 10.4

.875 , -.875

-8003 , 8003

0 , 0

The graph represents the relationship between the temperature and hours after sunrise. The slope shows the temperature changes per hour and the y-intercepts shows the temperature at the time of sunrise. The linear equation of this condition is y = 4x + 4.

From the graph, we can get some informations:

The temperature at the time of sunrise is 4 degrees celcius. This information is represented by the y-intercepts on 4 or point (0, 4). This is the initial temperature of the day.

Next, we will try to find the slope of the graph. We take 2 points:

(0, 4)

(1, 8)

Slope (m) = y₂ - y₁

                    x₂ - x₁

m = (8 - 4)

       (1 - 0)

m = 4

However, as the hour goes by, the temperature increases by 4 degrees celcius. This information is known based on the slope of the graph. The slope represents the degree celcius of temperature change per hour.

Based on the found y-intercepts and slope, we can formulated the linear equation of the graph as:

y = 4x + 4

where:

y = temperature

x = hours after sunrise

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The snail will take approximately 0.43 hours or 25.8 minutes to travel 12 feet at the speed of 8.5 meters per hour.

Given, A snail moves at a speed of 8.5 meters per hour, 1m = 3.28ft. Let's convert meters per hour into feet per hour by multiplying it with 3.28ft/m. So, 8.5 meters per hour = 8.5 × 3.28 feet per hour ≈ 27.88 feet per hour.

Now, to calculate the time taken by a snail to travel 12 feet, we can use the formula: Time = Distance ÷ Speed

Time taken = 12 feet ÷ 27.88 feet per hour ≈ 0.43 hours (rounded to two decimal places)

Now, let's convert 0.43 hours to minutes by multiplying it with 60 minutes per hour: 0.43 hours × 60 minutes per hour ≈ 25.8 minutes (rounded to one decimal place). Therefore, it will take approximately 0.43 hours or 25.8 minutes for the snail to travel 12 feet at the speed of 8.5 meters per hour.

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Answer:

2,907 pieces of bowtie noodles was used by the student

Step-by-step explanation:

Here, we want to calculate the number of pieces of bowtie noodles use

Let the number of elbow noodles used be x

The number of bow tie noodles used is 9 times this and that will be 9 * x = 9x

Adding both together, we have 9x + x = 10x

Thus;

10x = 3230

x = 3230/10

x = 323 pieces

The number of pieces of bowtie noodles used will be 323 * 9 = 2,907 pieces

The angle vertically opposite to angle 130° will be equivalent to 130° since they are vertically opposite angles.

So, the angle corresponding to x+139° will be equivalent to 130°.

Which means :

\( = x+ 139 = 130\)

\( = x = 130 - 139\)

\( =\color{hotpink} x = - 9\)

Therefore, the correct option is :

\(\color{hotpink}\bold{A) -9}\)

Answer:

-4

Step-by-step explanation:

Use the slope formula to find the slope m.

m = −4

HOPE THIS HELPS :)

Answer:

exactly 21 sets of 3/8 fit into 8

Step-by-step explanation:

Basically you just draw 8 boxes split them in 8ths and you end up with 21 sets of 3/8

Answer:

email or call or talk to your teacher and ask why

Step-by-step explanation: