Complete the statements about series A and B. Series A: 10+4+ 8/5 + 16/25 + 32/125 + ... Series B: 1/5+ 3/5 + 9/5 + 27/5 + 81/5 + ... Series ____ has an r value of ___ where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is ___.

Answers

Answer 1

Answer:

Series "A" has an r value of "2/5" where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is "50/3".

Step-by-step explanation:

To find the r (rate) of each series, we can divide one term by the term before:

Series A: 4 / 10 = 2/5

Series B: (3/5) / (1/5) = 3

So the series A has an r value between 0 and 1, so we can find the sum of the series.

The sum is given by the formula:

Sum = a1 / (1 - r)

Where a1 is the first term. So we have that:

Sum = 10 / (1 - (2/5))

Sum = 10 / (3/5)

Sum = 10 * (5/3) = 50/3

Answer 2

Answer:

Series "A" has an r value of "2/5" where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is "50/3".


Related Questions

Halp please with this question

Answers

Answer:

Yes

Step-by-step explanation:

This is a function,  There is a one to one correspondence between the input and the output and it would pass the vertical line test.

Yes because it’s a function.

Evaluate x^0+ y^0 for x = 3 and y = 2.
0
1 5 2

Answers

Answer:

2

Step-by-step explanation:

x^0+ y^0

Let x = 3 and y = 2

3^0 + 2^0

Raised to the 0 power is 1

1 + 1

2

Answer:

the answer is 1, this is correct

Step-by-step explanation:

Katie has 348 gel pens. She gives away 3/4 of them away how many does she give away?

Answers

Answer:

261

Step-by-step explanation:

Answer:

Katie gave away 261 gel pens.

Step-by-step explanation:

3/4 ÷348= 261

What must be added to each term of the ratio 2:3 so that it may become equal to 4:7

Answers

Step-by-step explanation:

HOPE THE ANSWER IS CORRECT AND USEFUL

After proving two triangles are congruent, then one can prove parts of a triangle are congruent using the reasoning CPCTC.

True

False

Answers

Answer:

The answer is True because CPCTC stands for Corresponding Parts of Congruent Triangles are Congruent.

7. A shopkeeper can buy 36 toys for $20.52. What will he pay for 120 toys

Step by step explansion ​

Answers

__________________________________

Hey!!!

Solution,

Cost of 36 toys=$ 20.52

Cost of 1 toy=20.52/36

=$0.57

Now,

Cost of 120 toys= 0.57*120

=$68.4

hope it helps

Good luck on your assignment

______________________________

Answer:

$68.4

Step-by-step explanation:

Let x represent the required cost.

Since the cost is directly proportional to the number of toys:

x : 20.52 = 120 : 36

i.e.     x/20.52 = 120/36

         x = [tex]\frac{120 * 20.52}{36}[/tex]

         x = 10 * 6.84

         x = 68.4

∴ The cost is $68.4.

Hope this helps!!

Tessa is taking her family out to dinner and the bill is $250. She has a coupon for 15% off. After the discount is applied, she is going to add a 20% tip for their server. What is the total after the discount and the tip?

Answers

Answer:

$255

Step-by-step explanation:

250*.85=212.5

212.5*1.2=255

Which values are equivalent to the fraction below? 6^7/6^5

Answers

Answer:

36

Step-by-step explanation:

Because the bases are the same we can just subtract the exponents to get us 6² or 36.

Can someone plz help me solved this problem plz! I need help ASAP! Plz help me solved this problem

Answers

For question A it’s y= 2/7
For question B it’s y=8/7

Answer:

1) 3.5

2) 0.875

5)7y -14

Step-by-step explanation:

1)7y= 0+2

Y= 2/7=

3.5

2)7y= 6+2=8

Y= 8/7=0.875

5) I just multiplied outside value which is7 with the value inside the bracket

I just solve the one I know.

I need help on the fraction part

Answers

Answer:

3 1/7 units

Step-by-step explanation:

(im assuming that 22/7 is what it's being converted here lol) basically what you would do is turn this in to a mixed fraction. You look at how many sevens can go into 22. In this case, three "sevens" would go into 22 (7x3=21). Since we have one left over, it would go over the 7! So that final answer would be 3 1/7!

Is the triangle with sides 1.7 in., 1.1 in., and 2 in. a right triangle? Explain.

Answers

Answer:

No

Step-by-step explanation:

This is because those 3 values are not pythagorean triples

2² is not equal to 1.7² + 1.1²

no because the sides of a right angle triangle must satisfy Pythagoras theorembut this one doesn't so it is falsehope it helped :-)thank you

16.) The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 adult tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 adult tickets and 5 student tickets. What is the price of the adult and the student ticket?

Answers

Answer:

adult tickets are $8 and student tickets are $14

Step-by-step explanation:

to find the price of adult and student tickets, first look at all the given values:

a = adult tickets

s = student tickets

so: 4a + 5s = 102

and : 7a + 5s = 126

since in both equations the number of student tickets are the same, we have to find the difference of value to determine how much adult tickets are:

126-102 = 24

there are 3 more adult tickets in the equation with a total of 126, therefore:

24 / 3 = 8

that means each adult ticket is work 8 dollars.

now substitute this value:

4(8) + 5s = 102

32 + 5s = 102

you can solve this by concluding that 102- 32 is 70

that means 5(s) has to equal 70

so 70 / 5 = s

70/5 = 14

so the value of s = 14 and the value of a = 8

Pls help I need these points
Justin Launches a water balloon vertically from a platform on his roof height in feet is represented By the equation H = -16t^2+32t+48,where T is the time (in seconds) after he launch is the water balloon

What is the maximum height of the water balloon?

How long does it take to reach its maximum height?

Answers

Answer:

a) 64 feetb) 1 sec

Step-by-step explanation:

Given the height in feet represented by the equation H = -16t²+32t+48, at maximum height, the velocity of the water balloon is zero.

Velocity = dH/dt = 0

dH/dt = -32t+32 = 0

-32t+32 = 0

-32t = -32

t = -32/-32

t = 1sec

Substituting t = 1sec into the modeled equation of the height

H = -16t²+32t+48

H = -16(1)²+32(1)+48

H = -16+80

H = 64 feet

The maximum height of the water balloon is 64 feet

b) In order to know how long it takes to reach its maximum height, we will substitute H = 64 feet into the equation of the height.

64 = -16t²+32t+48

-16t²+32t = 16

16t²-32t+16 = 0

t²-2t+1 = 0

t²-t-t+1 = 0

t(t-1)-1(t-1) = 0

(t-1)² = 0

t-1 = 0

t = 1sec

It took the water balloon 1 sec to reach its maximum height.

Point D is located on the segment CE. IF CD = 24 and DE = x and CE - 5x, what is the measure of segment CE?

Answers

Answer:

30

Step-by-step explanation:

If point D is located on the segment CE, then point C, D and E lies on the same line i.e they are collinear. Mathematically, CD+DE = CE

Given CD = 24 and DE = x and CE = 5x, on substituting this values in the equation we have;

[tex]24+x = 5x\\5x-x = 24\\4x = 24\\x = 24/4\\x = 6[/tex]

Since CE = 5x, CE = 5(6) = 30

The measure of segment CE is 30

What is the domain of the function y = l n (StartFraction negative x + 3 Over 2 EndFraction)
x less-than 2
x greater-than 2
x less-than 3
x greater-than 3

Answers

Answer:

Option (3). x < 3

Step-by-step explanation:

Given function is a logarithmic function,

[tex]y=\text{ln}[\frac{(-x+3)}{2}][/tex]

We know that logarithm is defined for all positive real numbers except zero.

[tex]\frac{(-x+3)}{2}>0[/tex]

(-x + 3) > 0

-x > -3

x < 3

That means the given logarithmic function is defined for all real values lees than 3.

And the domain of the function will be x < 3

Option (3) will be the answer.

Answer:

x < 3        Option C on E2020.

Step-by-step explanation:

A pet store has three fish tanks, each holding a different volume of water and a different number of fish. Tank AAA holds 40\text{ L}40 L40, start text, space, L, end text and 555 fish. Tank BBB holds 100\text{ L}100 L100, start text, space, L, end text and 121212 fish. Tank CCC holds 180\text{ L}180 L180, start text, space, L, end text and 232323 fish. Order the tanks by volume per fish from least to greatest.

Answers

Answer:

C, A and B

Step-by-step explanation:

Tank A holds 40 Liters and 5 fish.

Volume per fish of Tank A [tex]=40 \div 5 =$ 8 fish per liter[/tex]

Tank B holds 100 Liters and 12 fish.

Volume per fish of Tank B [tex]=100 \div 12 =$ 8.33 fish per liter[/tex]

Tank C holds 180 Liters and 23 fish.

Volume per fish of Tank C [tex]=180 \div 23 =$ 7.83 fish per liter[/tex]

Therefore, the volume per fish from least to greatest is:

7.83, 8 and 8.33

These correspond to the tanks: C, A and B respectively.

Answer:

CAB

Step-by-step explanation:

Got it right in Khan!

Please answer correctly !!!!!!!! Will mark brianliest !!!!!!!!!!!!

Answers

Answer:

See this: https://brainly.com/question/16788347

Please help me with my question!!

Answers

Answer:

c and d

Step-by-step explanation:

14th term of geometric sequence 10,20,40

Answers

Answer: 81920


Explanation: The general formula for nth term in a geometric sequence is an=a1*r^(n-1), where a1 is the first term, r is the common ratio, and n is the position in the term (in this case 14).

To find the common ratio, we can simply divide the next term after the first (20/2=10).

So, an=10*2^(14-1).

After doing the parentheses and multiplication, we have 20^13, which is 81920.

John’s garden has an area of 28 square feet. The rectangular garden is 7 feet long. What is the width of the garden

Answers

Answer:

the width is 4

Step-by-step explanation:

7 times 4= 28

or

28 divided by 7

attachment need help asap

Answers

Answer:

c because the x value is equal to the y value

Step-by-step explanation:

Answer:

x=y

Step-by-step explanation:

They are both opposite each other.

Parallel to each other

2.
85, 78, 82, 76, 89, 77, 78, 42, 83, 84, 87, 85, 78
What effect does the outlier have on the mode of this data?
1. The mode increases.
2. The mode decreases.
3. The mode cannot be calculated.
4. The mode remains the same.

Answers

Answer:

the mode remains the same

Step-by-step explanation:

42 is outlier.

mod is the most repetitive number of a number string, and outlier does not change it.

the mode remains the same.

Help me please…………………………

Answers

Answer:

Correct option: First one -> [tex]x^2 = -12y[/tex]

Step-by-step explanation:

The focus and the vertex have the same x-coordinate, so we have a vertical parabola. The standard equation for this parabola is:

[tex]y = a(x-h)^2 + k[/tex]

If the vertex is at the origin, we have that:

[tex](h, k) = (0,0)\\h = 0, k = 0[/tex]

If the focus is at (0,-3), we have that:

[tex](h, k+p) = (0, -3)[/tex]

[tex]p = 1/4a[/tex]

[tex]k + p = -3[/tex]

[tex]1/4a = -3[/tex]

[tex]a = -1/12[/tex]

So we equation of the parabola is:

[tex]y = -x^2/12[/tex]

[tex]x^2 = -12y[/tex]

Correct option: First one

Daily Brainliest #1 - Needs to be correct / First correct person to answer simple explanation gets today's brainliest
(2+5)×(8+5)

Answers

Answer:

91

Step-by-step explanation:

(2 + 5)(8 +5)

2 + 5 = 7

8 + 5 = 13

7 * 13 = 91

Can anyone help me please.

Answers

[tex]answer \\ 26 \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

The quotient of a number and -5 has a result of 2. What is the number?
n =
Plz help

Answers

Answer:

n / -5 = 2

n = - 10

simplify the equation

Answers

Answer:

3a

Step-by-step explanation:

9/3 = 3

[tex]a^{3}/a^{2} = a^{3 -2} = a[/tex]

b / b = 1

3 x a x 1 = 3a

Answer:

3a

Step-by-step explanation:

First, cancel the 3 at the bottom by getting rid of it and changing the 9 to a 3. You can do this because 3 is one third of 9.

With the division property of exponents, you have to subtract 3-2 and you can leave a to the power of 1 on the numerator.

Then, cancel the b's out by getting rid of them.

You will be left with 3a.

An online retail company tracked total number of purchases monthly. In June 2007 they were 4,500 purchases and in September 2008 there were 5,100. The purchases followed a linear model of the form p = S ( t ) = r t + i where p purchases is in 1000's and t is months where January 2007=0

Answers

The linear model for the number of purchases over time is:

p = 0.043t + 3.726

We have,

Let's assign the variable t as the number of months since January 2007, where t = 0 corresponds to January 2007.

Given data:

June 2007: p = 4,500 (in thousands, so p = 4.5)

September 2008: p = 5,100 (in thousands, so p = 5.1)

We can use these data points to set up a system of equations to solve for the slope (r) and the intercept (i) in the linear model p = rt + i.

Using the data points,

4.5 = r(18) + i (June 2007 corresponds to 18 months after January 2007)

5.1 = r(32) + i (September 2008 corresponds to 32 months after January 2007)

Solving this system of equations will give us the values of r and i.

Subtracting the second equation from the first equation:

4.5 - 5.1 = r(18) - r(32)

-0.6 = -14r

r = -0.6 / -14

r = 0.043

Substituting the value of r into one of the equations:

4.5 = 0.043(18) + i

4.5 = 0.774 + i

i = 4.5 - 0.774

i = 3.726

Therefore,

The linear model for the number of purchases over time is:

p = 0.043t + 3.726

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ4

2x - 4(4x - 8) = -94 solve for x

Answers

Answer:

x =9

Step-by-step explanation:

2x - 4(4x - 8) = -94

Distribute

2x - 16x +32 = -94

Combine terms

-14x +32 = -94

Subtract 32 from each side

-14x+32-32 = -94-32

-14x =-126

Divide each side by 14

-14x/-14 = -126/-14

x =9

Answer:

9

Step-by-step explanation:

find the value of trig function indicated, use Pythagorean theorem to find the third side if you need it. Part 4​

Answers

Answer:

[tex]\fbox{\begin{minipage}{5em}13. 0.830\\14. 0.800\\15. 0.391\\16. 0.750\end{minipage}}[/tex]

Step-by-step explanation:

A right triangle with 3 sides: adjacent side, opposite side and hypotenuse (as shown in attached picture)

According to the trigonometric properties:

[tex]sin(theta) = \frac{opposite}{hypotenuse}[/tex]

[tex]cos(theta) = \frac{adjacent}{hypotenuse}[/tex]

[tex]tan(theta) = \frac{opposite}{adjacent}[/tex]

[tex](adjacent)^{2} + (opposite)^{2} = (hypotenuse)^{2}[/tex]

[tex](adjacent)^{2} = (hypotenuse)^{2} - (opposite)^{2}[/tex]

[tex](opposite)^{2} = (hypotenuse)^{2} - (adjacent)^{2}[/tex]

Use the above formulas with corresponding sides:

[tex]13) cos(theta) = \frac{9}{3\sqrt{13} } = 0.83[/tex]

[tex]14) sin(theta) = \frac{\sqrt{5^{2}-3^{2} } }{5} = \frac{4}{5} = 0.8[/tex]

[tex]15) sin(theta) = \frac{9}{\sqrt{(8\sqrt{7}) ^{2} + 9^{2} } } = 0.391[/tex]

[tex]16) tan(theta) = \frac{3}{4} = 0.75[/tex]

Hope this helps!

:)

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