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Consider the sequence 3/4, 4/5, 5/6, 6/7...

Which statement describes the sequence?
The sequence diverges.
The sequence converges to 1.
The sequence converges to ∞.
The sequence converges to –∞.

Answer:

(2,-3)

Step-by-step explanation:

by elemination

2x + 2y = –2

3x – 2y = 12

cross out the 2y and -2y because the cancle each other.

that leaves 2x= -2

and             3x = 12.

simply add/subtract. 2x+3x=5x

                                  -2+12=10.

                                    5x=10

                                    x=2.

now for the y. we have x so all we have to do is plug.

take any equation.   2x + 2y = –2  and plug 2 into the x.

2(2)+ 2y = –2

4+2y= -2

-2-4= -6

2y=-6

y=-3.

put x and y into ordered pairs

(2,-3) and done.

easy peasy.

Answer:

x=2 y= -3

Step-by-step explanation:

2x+2y = -2

x+y = -1 (dividing both sides with 2

x+1 = -y

3x - 2y = 12

3x + (-y)(2) = 12

3x + (x+1)(2) = 12

3x+2x+2=12

5x+2=12

x=2

-y= 1+2

y= -3

Answer:

6

Step-by-step explanation:

It is given that Cosmo bought a new shirt which have several horizontal strips printed on the shirt that forms horizontal rings when the shirt is buttoned up. When Cosmo rightly button up the shirts, the horizontal strips forms seven closed rings.

One day when Cosmo wrongly wear the shirt and wrongly buttoned up the shirt, the horizontal strips on the shirt did not matched properly.

So as seen from the figure, when Cosmo wrongly button up the shirt, the closed strips forms 6 horizontal rings around Cosmo's waist.

Answer:

Product of two integers = - 84

One integer = 4

Other integer = x

[tex]4 \times x = - 84 \\ 4x = - 84 \\ x = \frac{ - 84}{4} \\ x = - 21[/tex]

⎆ The value of the other integer is - 21

Answer:

Our rate is, 10:125

Let's make it a unit rate!

Divide by 10 on both sides:

1:12.5

Step-by-step explanation:

She makes 12.50 dollars per hour.

Answer:

the probability the octahedron will land on A is 3/8

the probability the octahedron will land on B is 1/8

the probability the octahedron will land on C is 4/8 or 1/2

Step by Step explanation:

All u have to do to figure this out is to first count the total amount of letters and in this case there are 8. To find the probability of a specific letter, you have to count how many of that letter there is in the total of 8. For example the letter A's probability is 3/8 since there are 3 A's and 8 letters in total.

hope this helps!!

Answer:

14. 9²

15. 10²

Step-by-step explanation:

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

Answer:

A. 25 cm^3.

Step-by-step explanation:

Volume = 1/3 * area of base * perpendicular height,

= 1/3 * 5^2 * 3

= 5^3

= 25.

The correct option is A. Volume of the pyramid is 25 cm³ which is option A.

What is the volume of the pyramid?

The volume of a pyramid is given by lbh/3. It is also given by the product of the base area and height of the pyramid and then divided by 3.

The base of the pyramid is in the form of a square as all sides are 5 cm. Find the area of the square that is the base area.

5×5=25 cm²

Now multiply 25 by the height of the pyramid which is 3 cm.

25×3=75 cm³

Divide 75 by 3 to find the volume of the pyramid.

75÷3=25 cm³

Thus, the volume of the pyramid is 25 cm³ which is option A.

Learn more about the volume of the pyramid at https://brainly.com/question/17615619

#SPJ2

Answer:

.01*.5ˣ

Step-by-step explanation:

we can see that x=0 y= .01

so in our equation

a*bˣ

a=.01

This is throuhg plugging in 0 for x

a*b⁰=.01

a*1=.01

a=.01

Now it's just a matter of finding b

to do this just plug in a value

we know that when x=1 y=.005

.01*b¹=.005

b= .5

So our final equation is :  .01*.5ˣ

Answer:

the interest received is $957.03

Step-by-step explanation:

Given that

The invested amount is $10,000

There is 18 months

And, the interest rate is 6.25%

= (($10,000 × (1 + 6.25% ) × 0.0625  × 6 months ÷ 12 months)) + ($10,000 × 6.25%)

= $332.03 + $625

= $957.03

Hence, the interest received is $957.03

Answer:

Use this formula

[tex] \frac{4}{3} \pi \times {r}^{3}[/tex]

Answer will be option A

Process:

V= [tex] \frac{4}{3} \pi \times {r}^{3}[/tex]

   = 4/3 *[tex]\pi }[/tex]*[tex]8^{3}[/tex]

   =[tex]\frac{2048\pi }{3}[/tex]

   =2144.66[tex]m^{3}[/tex]

Answer:

3.2 x 10^13

Step-by-step explanation:

(8x10^4)(4x10^8)

reorder the terms using the commutative property

(8x4)x(10^4x10^8)

multiply

32x (10^4 x 10^8)

= 32 x 10^4+8

= 32 x 10^12

now convert to scientific notation

=3.2 x 10^13

Answer:

y=6x+24

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

1/4 x 4/10 x 80/1 = 320/40 which is 8

Answer:

(Xm, Ym) = [ x1+x2/2, y1 + y2/2]

Given (6,3) (-3,-7)

x1 y1 x2 y2

Step-by-step explanation:

(Xm,Ym) =[ 6-3/2, 3-7/4]

= [ 3/2, -1]

Answer:

<DCA and <BCF

Step-by-step explanation:

vertical angles are the opposite angles created by intersecting lines and are congruent. Vertical angles share only a vertex

Answer:

-5.5.

Step-by-step explanation:

The negative numbers are less than the positive and -5.5 is less than -5.

Answer:

Area of the parallelogram is approximately 4,456.2 square feet

Step-by-step explanation:

The lengths of the sides of the parallelogram are 65 feet and 87 feet

The measure of the angle between the sides, Y = 52°

The formula for finding the area of a parallelogram is given as follows;

Area of a parallelogram = A·B·sin(Y)

Where;

'A' and 'B' are the length of the parallel sides and 'Y' is the measure of the angle between them

Let 'A' and 'B' represent the 65 feet and the 87 feet respectively, we get;

Area of the parallelogram = 65 ft. × 87 ft. × sin(52°) ≈ 4,456.2 ft.²

Answer:

14.31

Step-by-step explanation:

Answer:

254.34 in²

Step-by-step explanation:

Area of circle = [tex]\pi r^2[/tex]

d = 18 inches, so r = d/2 = 9 inches

Area = 3.14 * 9 * 9

= 254.34 in²

Answer:

2.1 pounds

Step-by-step explanation:

Given that :

Number of baseballs = 7

Weight of each baseball = 0.3 pounds

1 block = 0.1 pounds

Hence, each ball will represent 0.3 / 0.1 = 3 blocks

Hence, 3 blocks = 1 ball

7 balls will be : 3 * 7 = 21 blocks

Recall:

1 block = 0.1

Hence, 0.1 * 21 = 2.1

Therefore, the weight of the 7 balls = 2.1 pounds

Answer:

240

Step-by-step explanation:

Its kinda hard because I dont know the shape of which is width or height or legnth

Answer:

Each Towel is 4.95 each

Step-by-step explanation:

We can use 8t = 39.60 as our equation

8t = 39.60

Divide 8 on both sides.

t = 4.95

Hope this helps! ^^

Answer:

76,

Step-by-step explanation:

If you divide 57 by 3, you get 19. If you times 19 by 4 that is the total number of students there were in all.

Answer:

a=π9² is the formula with the radius plugged in

radius is half

Answer:

243in^2

Step-by-step explanation:

18/2=9

3 x 9 x 9=243

Answer: x = 8 y = 4 or C

Step-by-step explanation:

Answer:

[tex]f(x) = 18(1.46) {}^{x} \\ initially : x = 0 \\ f(0) = 18 \times {(1.46)}^{0} \\ = 18[/tex]