2. Find the sum of the first 20 positive squares.

Step-by-step explanation:

a geometric sequence is s sequence, where every new element is generated by multiplying the previous element by the same number.

a n = a1 × number^(n-1)

so, a12/a7 = number^5

=> 2187/9 = 243 = number^5

=>

[tex]number = \sqrt[5]{243} [/tex]

=> number = 3

so, what is a1 ?

it has to satisfy e.g. a7.

9 = a1 × 3^6

9 = 3^2

=> 3^2 = a1 × 3^6

=> 1 = a1 × 3^4

=> a1 = 1/(3^4) = 1/81

therefore, the whole formula is

a n = 1/81 × 3^(n-1 )

Answer:

Volume = 312

Step-by-step explanation:

H=13

B=12

V=6

Answer:51.33333

Step-by-step explanation:

Step-by-step explanation:

[tex]range = 78 - 46 \\ = 32[/tex]

Answer:

2.83 inches

Step-by-step explanation:

The formula for surface area of cube = 6s²

Where

s = side length of cube

S.A = 6s²

s² = S.A/6

s = √S.A /6

For cube a

Surface area = 1200 in²

Hence,

side length = √1200/6

Side length = √200

= 14.14 inches

For cube b

Surface area = 768 in²

Hence,

side length = √768/6

Side length = √128

= 11.13 inches

How much longer is the side of a cube with a surface area of 1,200 square inches than a cube with the surface area of 768 square inches?

Therefore,

14.14 inches - 11.13 inches

= 2.83 inches

Answer:

It’s B

Step-by-step explanation:

:)

Answer:

13.4 x 2 = 26.8

12.5

HYPOTENUSE:

10^2 + 12.5^2 = 256.25

Square root of 256.25 = around 16

which would equal 256

16 is your hypotenuse.

26.8 + 12.5 + 16 = 55.3 is your perimeter

Answer:

-4

Step-by-step explanation:

Parallel lines are lines that run across from each other but never intersect. For this to work, they must change at the same rate and have the same slant. This means parallel lines must have equal slopes; therefore, the slope of the parallel line is -4. It is also important to note that parallel lines must have different y-intercepts, or they would just be the same line.

Answer:

Given no. of persons owned laptop = 76

Total of no. of students owned + Total of no. of students dont have owned laptop given = 155

No. of students dont have laptops = 155 - 76 = 79

So then the total no. of no laptops = 79 + 17 = 96(ans)

Answer:

x>-1

Step-by-step explanation:

So, we want to isolate the variable which is X. To do so, we must add 4 on both sides.

x-4+4>-5+4

x>-1

Next comes the graphing:

This equation means that x can be all values that are LARGER THAN -1. The line would start from -1, but it wouldn't include negative one, and stretch all the way to positive infinity (to the right).

Answer:

If it's spun just once, there are 5 outcomes because there are 5 color options to land on.

Step-by-step explanation:

Answer:

C) 5 3√2

Step-by-step explanation:

Answer:

I think a

Step-by-step explanation:

Answer:

x = 39 in

Step-by-step explanation:

15² + 36² = x²

225 + 1296 = x²

1521 = x²

[tex]\sqrt{1521}[/tex] = x

39 = x

Hope this helps!

Answer:

39

Step-by-step explanation:

Answer:

2.5 hours

Step-by-step explanation:

The total amount of time studying by students who spent 1/2 an hour studying is the product of the number of students who spent 1/2 an hour studying by 1/2 an hour.

Hence, counting the number of dots on the point marked 1/2 gives the count of students who spent 1/2 an hour studying and multiply this number by 1/2.

Total amount of hours spent = 1/2 * 5 = 2.5 hours

Answer:

Wish i could help i need the answer as well

Step-by-step explanation:

Answer:Replacing x with -x will reflect a graph across the y-axis. Multiplying x by 3 before the function is applied will compress the graph horizontally. This means the correct choice is D.

Answer:

68 000

Step-by-step explanation:

When we round to the nearest thousand, we have to look which thousand is closer to the value. So in our case 67795 is 205 away from 68 000 and is 795 away from 67000. From this we know that 68 000 is closer, therefore if we round 67 795 to the nearest thousand we will get 68 000.

Answer:

3 miles

Step-by-step explanation:

Since she ran 12 miles in 4 days, and all of them were equal, divide 12 by 4. Answer is 3 ^^

Answer:

A

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

2^-3

1/2^3

1/8

1/8

[tex] \mathtt \green{Hope \: it \: helps \: uh }[/tex]

Answer:

0⋅100 :)

Step-by-step explanation:

Answer: I just did the test so the answer is A. 5.8 units

Step-by-step explanation: hope this help thx for the points :D

Length of QR in units = 5.83 units, which is closest to 5.8 units.

The correct option is A.

The distance between any two points is the length of the line segment joining the points.

The formula for the distance, D, between two points whose coordinates are (x₁, y₁) and (x₂, y₂)

D = √((x2 – x1)² + (y2 – y1)²)

This is called the Distance Formula.

Given,

Coordinates of points Q (8, 2) and R (5, 7)

Length of QR = Distance between point Q and point R.

D = √((x2 – x1)² + (y2 – y1)²)

D = √((5 - 8)² + (7 - 2)²)

D = √(-3² + 5²)

D = √9 + 25

D = √34

D = 5.83 units

Length of QR rounded to one decimal = 5.8 unit

Hence, 5.8 unit is closest to the length of QR = 5.83units

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Answer:

D

As we are getting the 25% from the whole population of 380 students, therefore this is a population proportion which is a parameter. Note that we get parameter from population and statistic from the sample.

Step-by-step explanation:

The property parameter describes the number, 25% because  25% from a population of 380 students, this is a population proportion that may be used as a metric option (D) parameter is correct.

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

We have:

Number of samples = 40

30% of them have period 4 lunch.

Total population = 380

25% of them have period 4 lunch.

Because we're collecting 25% from a population of 380 students, this is a population proportion that may be used as a metric.

We collect parameters from the population and statistics from the sample.

Thus, the property parameter describes the number, 25% because  25% from a population of 380 students, this is a population proportion that may be used as a metric option (D) parameter is correct.

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Answer:

350 days

Step-by-step explanation:

If Ravi is eliminating 100 calories per day, and one pound of body fat is 3500 calories, then it will take him 35 days to lose one pound of body fat.

Multiply 35 by 10 to find how long it will take for him to lose 10 pounds:

35(10)

= 350

So, it will take him 350 days to lose 10 pounds.

Answer:

350

Step-by-step explanation:

Answer:

1400

Step-by-step explanation:

I took the Application

Answer:

Step-by-step explanation:

1500 x .10= 150

1500 - 150 = 1350

=1350 is the price after following the discount of 10%

Answer:

1350

Step-by-step explanation:

Market price = 1500

Discount = 10%

Price of article after allowing discount = 1500 - (1500* 10/100)

=1500 - 150

= 1350

Answer:

First you need to set up an equation y = mx + b. m would be the monthly charge and b would be the one time fee. x represents the number of months.

To solve for the number of months with a total price of 240 we substitute 240 in for y and solve for x.

240 = 25x + 40

subtract 40 from each side

200= 25x

divide by 25

8 = x

8 months

10 + 7r = 45

7r = 35

r = 5

5 milesStep-by-step explanation:

The rate of change is 5.

The rate of change of anything is how rapidly it changes over time (ROC).

You must first create the equation

y = mx + b,

where m represents the monthly price and b represents the one-time cost. Months are represented by the number x.

We replace 240 for y and solve for x to find the total number of months at a price of 240.

40 is subtracted from either side of 240 = 25x + 40.

200 = 25x

25 divided

8 months equals 8.

10 + 7r = 45

7r = 35

r = 5

Therefore, 5 is the rate of change.

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Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 4x + 3y = 12 ( add 4x to both sides )

3y = 4x + 12 ( divide the terms by 3 )

y = [tex]\frac{4}{3}[/tex] x + 4 ← in slope- intercept form

with slope m = [tex]\frac{4}{3}[/tex] and y- intercept c = 4

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

Given

- 5x + 3y = - 9 ( add 5x to both sides )

3y = 5x - 9 ( divide the terms by 3 )

y = [tex]\frac{5}{3}[/tex] x - 3 ← in slope- intercept form

with slope m = [tex]\frac{5}{3}[/tex] and y- intercept c = - 3

Answer:

c

Step-by-step explanation:

Answer:

2, 6

Step-by-step explanation:

i dont know