Find the sum of an infinite geometric series where a1 = 180, and the common ratio is r = 3∕4 ? Question 9 options: A) 240 B) 360 C) 135 D) 720

Answer:

6.65105386*10^5

A

Step-by-step explanation:

(5.68*10^-3)/(8.54 *10^-9

when divide negative over negative it gives positive

10^-3 / 10^-9=10^6

5.68/8.54=0.665

0.665*10^6=6.65*10^5

6.65105386*10^5

Answer:

A.

Step-by-step explanation:

Answer:

y = [tex]\frac{3}{5}[/tex]x + 3

Step-by-step explanation:

First, find the slope with rise/run

This gets you 3/5

Then, find the y intercept, which is (0, 3)

The equation will be

y = [tex]\frac{3}{5}[/tex]x + 3

Answer:

Brainleist!!!

Step-by-step explanation:

see picture!

Answer:

203in²

Step-by-step explanation:

split up the shape into three rectangles

5in × 14in = 70

9in × 7in = 63

5in × 14in = 70

70 + 63 + 70 = 203in²

Answer:A And B

Step-by-step explanation:

The true stetement is:

The standard deviation of B is greater than the standard deviation of A.

1. The interquartile range (IQR) is a measure of the spread of the data. Since the new brand with only 74% of kernels popped has the lowest percentage, including it in the data set B would likely increase the range of values and therefore increase the interquartile range.

Therefore, this statement is false.

2. The mean is affected by the values of the data set, and including the package with the least kernels popped in data set B would likely lower the overall mean compared to data set A. Therefore, this statement is false.

3. Adding the package with the least kernels popped to data set B might shift the median to a lower value compared to data set A. Therefore, this statement is false.

4. Including the package with the least kernels popped in data set B would increase the spread of the data because it introduces a lower value compared to the other percentages. Therefore, this statement is false.

5. Including the package with the least kernels popped in data set B would likely increase the variability and spread of the data, leading to a greater standard deviation compared to data set A.

Therefore, this statement is true.

6. Including the package with the least kernels popped in data set B would likely shift the center of the data towards a lower value due to the lower percentage. Therefore, this statement is false.

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Answer:

x > 6

Step-by-step explanation:

2x + 4 > 16

Subtract 4 from each side

2x + 4-4 > 16-4

2x> 12

Divide by 2

2x/2 > 12/2

x > 6

Answer:

A. X>6

2 (7) + 4 > 16

14 + 4 > 16

18 > 16

Answer:

c-6:16

Step-by-step explanation:

[tex]\frac{3}{8}[/tex]=[tex]\frac{6}{16}[/tex]

all you need to do is multiply by 2 but they are proportional/equivalent

Answer:

i would say it C 6 16

Step-by-step explanation:

because i said so

Answer:

7/4 + 9/-5 =

Since the denominator of the second fraction is negative the sign will change from negative to positive

We will get

7/4 - 9/5

First find the LCM

LCM of 4 and 5 is 20

7/4 - 9/5 = 5(7) - 4(9)/ 20

Simplify

We get

35 - 36/20

= -1/20

Hope this helps

Answer:

-1/20

Step-by-step explanation:

7/4 + -9/5

We need a common denominator, which is 20

7/4 *5/5   + -9/5 *4/4

35/20  + -36/20

Add the numerators together

-1/20

Answer:

9 possible combinations: RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP

Step-by-step explanation:

Let's see what are the possible combinations:

3+4= 7 so possible 3rd side is 5

3+5= 8 so possible 3 rd side is 7

3+7= 10 so possible 3rd side is 5 or 9 (5 is repeat of the one above)

3+9= 12 so possible 3rd side is 7, see one above

3+12= 15 so possible 3 rd side is none

4+5=9 so possible 3rd side is 7

4+7= 11 so possible 3rd side is 9

4+9= 13 so possible 3rd side is 12

5+7= 12 so possible 3rd side is 9

5+9= 14 so possible 3rd side is 12

7+9= 16 so possible 3rd side is 12

So the possible 9 combinations are:

Answer:

[tex]927[/tex]

Step-by-step explanation:

[tex]900 \times (1+0.6\%)^5[/tex]

[tex]900 \times (1+0.6/100)^5[/tex]

[tex]900 \times (1+0.006)^5[/tex]

[tex]900 \times (1.006)^5[/tex]

[tex]900\times \:1.03036[/tex]

[tex]927.32594[/tex]

Answer:

927

Step-by-step explanation:

Total Population = 900

Annual rate of increase = 0.6 % of 900

=> [tex]\frac{0.6}{100}* 900[/tex]

=> 0.6 * 9

=> 5.4

Rate of increase in 5 years = 5 * 5.4

= 27

Population after five years = 900+27

=> 927

Answer:

The answer is c. (0,-1)

Step-by-step explanation:

So the unit circle is derived from a right triangle.

Answer:

The answer is 500 times

Step-by-step explanation:

hope this helps you

Answer:

Catcher's number = 17

Pitcher's number = 18

Step-by-step explanation:

Let two consecutive numbers be represented by x and (x + 1)

Hence,their product

= x(x + 1) = 306

= x² + x - 306 = 0

We factorise

= x² + 18x - 17x - 306 = 0

= x(x + 18) - 17(x + 18) = 0

= (x + 18)(x - 17) = 0

x + 18 = 0 = -18

x - 17 = 0 = 17

x = 17 and -18

Our answer can't be a negative integer

Hence x = 17

The second consecutive integer = x + 1

= 17 + 1 = 18

Hence the uniform numbers are 17 and 18.

We are told in question that: If the catcher's was the smaller number, determine the uniform number of each player.

Therefore,

The Catcher's uniform number = 17

The Pitcher's uniform number = 18

Answer:

Step-by-step explanation:

$11/ 47 pound = $0.234 for 1 pound

the cost of buying 47 pound for 11 dollars is cheaper than to buy individual 1 pound bag for 0.45.

Answer:

First, let's find the unit price.

$11 ÷ 47 = $0.23 per pound.

$0.45 ÷ 1 = $0.45 per pound.

As you can see here, the 1 pound bag(smaller bag) clearly costs more per pound. The 47 pound bag(larger bag) costs less.

We can also put the values on a number line to compare.

          $0.23               $0.45

      (larger bag)    (smaller bag)

<-|---------o---------------------o---------|------------------------------------------|->

$0                                         $0.50                                           $1

As you can see, the larger bag is closer to zero.

Hope this helped!

-Emma

Answer:

A-2/9

Step-by-step explanation:

assuming he has 3 each of nickles, dimes and quarters, because its says "equal number of coins each)

3x3=9

he only made two draws and he and needs 2 coins to make $.30. He could chose 1 nickle and 1 quarter.

so I think it would be 2/9

Answer:

5/9

Step-by-step explanation:

Hello,

To continue on the same logic as for other questions, let s check the possible outcomes, they are 9

First draw  second draw  sum of the value  Is it >= 30c?

dimes   dimes   20  

dimes   nickels   15  

dimes   quarters          35      Yes

nickels   dimes   15  

nickels   nickels   10  

nickels   quarters          30      Yes

quarters          dimes   35      Yes

quarters          nickels   30      Yes

quarters          quarters          50      Yes

For only 5 the sum is >= 30c

so the probability is 5/9

hope this helps

Answer:

[tex]a = 30[/tex]

[tex]b = 40[/tex]

Step-by-step explanation:

Given

The attached triangle

Such that K is parallel to L

Required

Find the value of a and b

From the properties of parallel triangles;

Provided that k is parallel to l, then

[tex]\frac{a}{40} = \frac{a+15}{60}[/tex]

Multiply both sides by (60)(40)

[tex](60)*(40)*\frac{a}{40} = (60)*(40)*\frac{a+15}{60}[/tex]

[tex]60a = 40(a+15)[/tex]

Open Bracket

[tex]60a = 40*a+40*15[/tex]

[tex]60a = 40a+600[/tex]

Subtract 40a from both sides

[tex]60a - 40a = 40a - 40a + 600[/tex]

[tex]20a = 600[/tex]

Divide both sides by 20

[tex]\frac{20a}{20} = \frac{600}{20}[/tex]

[tex]a = \frac{600}{20}[/tex]

[tex]a = 30[/tex]

Similarly;

[tex]\frac{b}{40} = \frac{b+20}{60}[/tex]

Multiply both sides by (60)(40)

[tex](60)*(40)*\frac{b}{40} = (60)*(40)*\frac{b+20}{60}[/tex]

[tex]60b = 40(b+20)[/tex]

Open Bracket

[tex]60b = 40*b+40*20[/tex]

[tex]60b = 40b+800[/tex]

Subtract 40b from both sides

[tex]60b - 40b= 40b - 40b + 800[/tex]

[tex]20b= 800[/tex]

Divide both sides by 20

[tex]\frac{20b}{20} = \frac{800}{20}[/tex]

[tex]b = \frac{800}{20}[/tex]

[tex]b = 40[/tex]

Answer:

There are 10 integers between the given values

Step-by-step explanation:

We start by finding approximations of the two real values given that include square roots of non-perfect-square numbers:

[tex]\sqrt{37} \approx6.0827[/tex]

then this point is located in between the integers 6 and 7 on the x-axis.

[tex]5\,\sqrt{11} \approx 16.58[/tex]

therefore, it is located between the integers 16 and 17 on the number line.

Then between [tex]\sqrt{37}[/tex], and [tex]5\,\sqrt{11}[/tex], we have the following integers:

7, 8, 9, 10, 11, 12, 13, 14, 15, 16.

That is 10 integers

Answer:

3/2x^3

Step-by-step explanation:

multiply the numerators and the denominators

Answer:

Step-by-step explanation:

For greater clarity, graph this triangle.  If this triangle is reflected about the y-axis, the point C(0, 2) remains a vertex.  The point B(3, -3) becomes D(-3, -3).  Finally, the point A(4, -1) becomes E(-4, -1).

Answer:

A(4,-1)-> A'(-4,-1) .   B(3,-3)->B'(-3, -3) .  C(0,2) -> C' (0,2)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The distance is 5 because when you count out the units on the graph, it is 5 apart.

To double check, you could also use distance formula, which would give you √25, which is also 5

Answer:

Solution,

Let the points be A and B

A(5,3)----->(X1,y1)

B(5,-2)------>(x2,y2)

Now,

[tex]ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \: \: \: \: \: = \sqrt{ {(5 - 5)}^{2} + {( - 2 - 3)}^{2} } \\ \: \: \: = \sqrt{ {(0)}^{2} + {( - 5)}^{2} } \\ \: \: \: = \sqrt{0 + 25} \\ \: \: \: = \sqrt{25} \\ \: \: \: = \sqrt{ {(5)}^{2} } \\ \: \: \: = 5 \: units[/tex]

hope this helps .....

Good luck on your assignment...

Answer:

Answer is given below with explanations.

Step-by-step explanation:

[tex]1)volume \: of \: cylinder = \pi \: {r}^{2} h \\ here \: radius \: (r) = 3 \: m \\ and \: height \: (h) = 8 \: m \: \\ volume \: of \: cylinder = \pi \: \times {3}^{2} \times 8 \\ \: \: = \pi \ \times 9 \times 8 \\ \: \: = 72\pi \\ \: \: = 226.195 \: {m}^{3} \\ 2)volume \: of \: pyramid \: = \frac{1}{3} \times base \: area \times height \\ base\: area = 25 \times 16 \\ \: \: = 400 \: {ft}^{2} \\ volume \: of \: pyramid \: = \frac{1}{3} \times400 \times 45 \\ \: \: = 6000 \: cubic \: feet \\ 5) \: volume \: of \: cone = \frac{1}{3 \: } \pi \: {r}^{2} h \\ here \: radius \: (r) = 6.2 \: m \: \\ height \: (h) = 6.8 \: m \\ volume \: of \: cone = \frac{1}{3 \: } \pi \: \times {6.2}^{2} \times 6.8 \\ \: \: = 273.73 \\ 6) \: volume \: of \: hemisphere \: = \frac{2}{3} \pi \: {r}^{3} \\ here \: radius \:( r) = 6 \: in \\ volume \: of \: hemisphere \: = \frac{2}{3} \pi \: {6}^{3} \\ \: \: = 452.39 \: cubic \: inches[/tex]

Questions are not clearly visible for me.

So forgive me.

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Answer:

function 18/y is defined for all values of y such that [tex]y \in R, y\neq 0[/tex]

Step-by-step explanation:

given data

number = 18/y

solution

in given value 18/y

If y=0, the function will be Undefined.

Because, the function is undefined if its denominator = 0

so that if we determine the function is defined, we will find out for what values the function is undefined and remove it

so, the function 18/y is defined for all values of y such that

[tex]y \in R, y\neq 0[/tex]

Answer:

Y = 2

Step-by-step explanation:

For point (x1,y1) and (x2,y2) on coordinate plane if is divided in ratio of m:n.

Then point of division is given by

(n*x1+m*x2)/ m+n,  (n*y1+m*y2)/ m+n

________________________________

Given point

c = (9,6)

d = (5,1)

ratio = 4:1

using the above formula , point of division is

x= (1*9+4*5)/ 4+1                     y=  (1*6+4*1)/ 4+1

x= (9+20)/ 5                             y=  (6+4)/ 5

x= 29/ 5                                    y=  10/ 5 =2

Thus, answer is y = 2

Answer:

2 is correct

Step-by-step explanation: I got it right on test

Answer:

C

Step-by-step explanation:

It looks to me possibly C

hope it helps you

A graph is a way to represent a lot of data in a visual format. The graph which correctly displays the data from the list and table is graph c.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The bar graph that can represent the given situation will have the name of the color pattern on the x-axis, while the number of students who choose the pattern will be listed on the y-axis.

Since the last pattern is the yellow pattern, therefore, it should be on the leftmost side of the equation and must have the smallest candle. while the first candle should be the second-largest candle as it is selected by only four students. Since the second candle and the third candle has the value of 6 and 12. Therefore, the length of the third candle should be half of the length of the second candle.

Now, the only graph that fits these criteria is graph C.

Hence, the graph which correctly displays the data from the list and table is graph c.

Learn more about Graph:

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Answer:

5/14

Step-by-step explanation:

Multiply.

(-5 × -1 × 4) / (7 × 8)

20/56

Simplify.

5/14

Answer:

The answer is [tex]\frac{5}{14}[/tex].

Step-by-step explanation:

1. -5 × [tex]\frac{-1}{7}[/tex] =  [tex]\frac{5}{7}[/tex]

2.  [tex]\frac{5}{7}[/tex] · [tex]\frac{4}{8}[/tex] = [tex]\frac{20}{56}[/tex]

3. Simplify:

[tex]\frac{20}{56}[/tex]  = [tex]\frac{5}{14}[/tex]

Answer:

The lines that make up this region are y = 5 (light blue line), x = 2 (green line) and y = x (purple line). The graph tells us that the answer is y ≤ 5, y ≥ x and x ≤ 2.

Answer:

Green: x is less than or equal to 2

Purple: y is greater than or equal to x

The horizontal line near the top is y=6, so the blue shaded area below is y is less than or equal to 6

Step-by-step explanation: Solid lines mean equal to or < >

Sorry my keyboard doesn't have the real symbol for those.

Since the y-intercept for the purple area is 0, there is no constant to enter in the slope-intercept form: y=mx+b And since the slope is 1, there is no coefficient with x.

Answer:

0.12

Step-by-step explanation:

3/25= 12/100

12/100=0.12

Answer:

[tex]g(x) = \frac{1}{9} \,x^2[/tex] which agrees with option A in the list of possible answers

Step-by-step explanation:

A vertical compression by a factor 9 is represented by the transformation:

[tex]\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2[/tex]

Therefore the answer to the problem is:

[tex]g(x) = \frac{1}{9} \,x^2[/tex]

Answer:

38

Step-by-step explanation:

An outlier is a data point on a graph or in a set of results that is much bigger or smaller than the next nearest data point. The numbers given are within 1-3 points away from the previous number, except for 38, which is 14 points away from 24. Organize the numbers in order from least to greatest to see this better.

13, 14, 16, 17, 18, 21, 24, 38

Answer:

The lowest number that is a multiple of 6 and 8 is 24.

Step-by-step explanation:

6, 12, 18, 24.

8, 16, 24.

Out of the given numbers, 24 is the multiple of 6 and 8. Hence, the option (3) is correct.

Let's check for all the given options:

1) 3: 3 is divisible by neither 6 nor 8 hence it is not a multiple of both.

2) 18 : 18 is divisible by 6 but not divisible by 8. Hence, this option is not correct. Since we have to find a number which is divisible by 6 as well as by 8.

3) 24: 24 is divisible by 6 as well as by 8. Hence, this option is correct.

4) 2: 2 is neither divisible by 6 nor by 8. Hence, this option is not correct.

Hence, the correct option is (3).

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