The next term in a sequence Comes from adding the
previous two terms. Find the missing terms below.
2,
,9
, 25,
66

Answers

Answer 1

Answer:

Step-by-step explanation:

Each new term is the sum of the two preceding terms.  Given 2, 9, etc., we see that a number between 2 and 9 is missing; call it x.  Then 2 + x must equal 9, and so x = 7, and so the first three terms are 2, 7, 9.  Repeating the process, we add 7 and 9, obtaining 16; thus the first four terms are 2, 7, 9, 16.  Continuing this pattern, we add 9 and 16 to obtain the fifth term, which is 25:  2, 7, 9, 16, 25.  And so on.


Related Questions

Find the ratio that is equivalent to 3:8. A. 8:11 B. 5:8 C. 6:16 D. 8:10

Answers

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

You do not need to line up the decimal points when subtracting two decimal numbers. TrueFalse

Answers

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Or else it will give you an incorrect calculation

Add. 7/4+9/-5 wrote your answer as a fraction in simplest form

Answers

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

Multiply. -5•-1/7•4/8. Write your answer in simplest form.

Answers

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]

you can buy a 47 pound bag of flour for $11 or you can buy a 1 pound bag of flour for $0.45. Compare the per pound cost for the large and small bags.​

Answers

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.

Hence, the larger bag is the better buy.

Hope this helped!

-Emma

How do if figure out Pi X 8. I know the answer but I need to figure out how to get the answer. Please help if you understand.

Answers

Answer:

25.12

Step-by-step explanation:

round pi to first 2 digits after decimal point.

3.14 x 8 =25.12

25.12
Do do this you have to round it to the first two dcp
3.14 x 8 = 25.12

PLZ HELP 50 POINTS AND BRAINLIEST!!!!!!!! Karen has a large pile of colored rods. Each color is a different length. She is trying to connect different colored rods to make triangles as part of a hanging sculpture. Here is a list of rod lengths.
Red: 3 inches
Orange: 4 inches
Yellow: 5 inches
Green: 7 inches
Blue: 9 inches
Purple: 12 inches

1. How many triangles can she make with them if each side is a different color? List the combinations that work.



2. Karen was just trying different combinations of colored rods one at a time, placing the colored rods together to see if they make a triangle. What method did you use to determine the triangle options? Which method do you think is better and why?

Answers

Answer:

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

Step-by-step explanation:

We need to consider The Triangle Inequality Theorem which states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Let's see what are the possible combinations:

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

3, 4, 5 or ROY

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

3, 5, 7 or RYG

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

3, 7, 9 or RGB

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, 5, 7 or OYG

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

4, 7, 9 or OGB

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

4, 9, 12 or OBP

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

5, 7, 9 or YGB

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

5, 9, 12 or YBP

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

7, 9, 12 or GBP

So the possible 9 combinations are:

RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP

Brainliest for whoever gets this right!

Please help ASAP!

Find the inequalities which describe the regions that’s shaded

Answers

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.

If K parallel to L find the value of a and the value of b.

Answers

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]

Which number is a multiple of 6 and 8

Answers

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).

Learn more about divisibility here:

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In the graph above what’s the distance between (5,3) and (5,-2)

Answers

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:

5 units

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...

HELP ME NOW PLSSSSSS

Answers

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

Find the y value for the point that divides the line segment CD into a ratio of 4:1.

Segment CD is shown. C is at 9, 6 and D is at 5, 1.

2
6.2
3
2.8

Answers

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

please help! summer school is really getting to me :(

Answers

Answer:

yes their parallel

Step-by-step explanation:

their the same equation just one is negative they go the go next to each other but never touch

For what values of the variables are the following expressions defined? •18/y

Answers

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]

Given:
MNOP is a parallelogram
Prove:
PM  ON
(For this proof, use only the definition of a parallelogram; don’t use any properties)

Answers

Answer:

Proved: PM ≅ ON

Step-by-step explanation:

A parallelogram is a quadrilateral with two opposite sides equal and parallel.

Find attached the diagram obtained from the information

From the above definition, quadrilateral MNOP is a parallelogram if:

Line MN is parallel to Line OP

Line ON is parallel to Line PN

From the diagram

Line MN is parallel to Line OP

Side MN is = side OP

Line ON is parallel to Line PN

Side ON is = side PN

Since the geometric size is equivalent

PM ≅ ON

Where ≅ means congruent to

Proved.

f(x) = -9x + 2 and g(x) = -9x + 6, find (f - g)(7)

Answers

Answer:

I think there is an error in the question because

(f-g) = -4

(f-g) (7) = NO SOLUTION

Step-by-step explanation:

[tex]f(x) = -9x + 2 \\g(x) = -9x + 6\\(f - g)(7)\\(f - g) = -9x + 2 - (-9x+6)\\(f - g) = -9x +2 +9x-6\\(f - g) = -9x +9x+2-6\\(f - g) = -4[/tex]

Give my answer in terms of pi and state it's units

Answers

Answer:

113.1 square mm

Step-by-step explanation:

A=πr2=π·62≈113.09734

Answer:

[tex]= 36\pi \: {mm}^{2} \\ [/tex]

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ = \pi \times 6 \times 6 \\ = 36\pi \: {mm}^{2} [/tex]

a coin lands on heads 200 times. the relative frequency of heads is 0.4 ? how many times was the coin thrown???????≈⊃ to whoever answer this question i know that u guys will see the points i have given and say this is sooooo crazzzzy. i will give points to u guys because it is my birthday guys. pleases write me nice comments. i love u all have a nice day everyone.

Answers

the coin was thrown 500 times :)

Answer:

The answer is 500 times

Step-by-step explanation:

hope this helps you

the value of x is __?

Answers

If cos x = sin (20 + x ) degrees and 0 degrees < x < 90 degrees , the value of x is ___ degrees
cos x = sin (20 + x)

sin and cos are CO-FUNCTIONS, which means that: cos x = cos [90 - (20 + x)]

cos x = cos (90 - 20 - x)

cos x = cos (70 - x)

Therefore, x = 70 - x

x + x = 70

2x = 70

Describe how to transform the graph of f into the graph of g. f(x) = x2 and g(x) = -(-x)2 The graph shifts left one unit. Reflect the graph of f across the y-axis and then reflect across the x-axis. Reflect the graph of f across the y-axis. Reflect the graph of f across the x-axis.

Answers

Answer:

Reflect the graph of f across the y-axis and then reflect across the x-axis.

Step-by-step explanation:

Reflection rules:

Reflection over x -axis:(x,y)→(x,-y)

Reflection over y-axis : (x,y)→(-x,y)

Graph:[tex]y= f(x)=x^2[/tex]

We are given that the graph of f into the graph of g.

[tex]f(x) = x^2[/tex] and [tex]g(x) = -(-x)^2[/tex]

Reflect over y axis.

Reflected graph [tex]=(-x)^2[/tex]

Reflect the obtained graph over x axis

[tex]g(x)=-(-x)^2[/tex]

So, Option B is true

Hence Reflect the graph of f across the y-axis and then reflect across the x-axis.

Answer:

i reflected it over the x and y axis tho

Step-by-step explanation:

bro trust me

in 1997 the population of a small town was 900. If the annual rate of increase is about 0.6% which value below expresses the population five years later?

Answers

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

If f(x) = x ^ 2 is vertically compressed by a factor of 9 to g(x) , what is the equation of g(x) ?

Answers

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]

HURRY!!!! Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth. 270 degrees a. (1, 0) c. (0, -1) b. (0, 1) d. (-1, 0)

Answers

Answer:

The answer is c. (0,-1)

Step-by-step explanation:

So the unit circle is derived from a right triangle.

3/25 of the current delivered to an induction motor is wasted as reactive current.
Express this fraction in decimal form.

Answers

Answer: 0.12

Explanation:

3/25 = 0.12

Answer:

0.12

Step-by-step explanation:

3/25= 12/100

12/100=0.12

If the nth term of a number sequence is n squared -5 find the first 3 terms and the 10th term

Answers

Answer:

If the nth term is n^-5,

Then the first term will be (1)^-5=1

Second term will be (2)^-5= 1/32

3rd term=(3)^-5 = 1/243

So, 10th term will be (10)^-5=1/100000

The first term is -4, second term is -1, third term is 4 and 10th term is 95.

What is sequence

a group of connected actions, moves, or things that happen in succession and have a specific order.

Given that,

The nth term of sequence = n² - 5          (1)

To find terms, Substitute values of n in equation (1),

Substitute n=1, the first term = 1-5 = -4

Substitute n=2, the second term = 4-5 = -1

Substitute n=3, the third term = 9-5 = 4

For 10th term, substitute n= 10,

10th term  = 100-5 = 95

First term =-4, second term = -1, third term = 4 and 10th term = 95.

To learn more about Sequence on :

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WHAt is the equation of the graph below?

Answers

I’m pretty sure the answer is (y=sin(3x))
.
.
.
You can use desmos for these kinds of questions(desmos is a graphing app)

A triangle has the coordinates A( 4, –1), B(3, –3), and C(0, 2). Reflect the triangle over the y-axis and find the coordinates of its image.

Answers

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:

I need help awnsering these questions please get to me soon as you can

Answers

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.

A. 4/11
B. 7/11
C. 11/7
D. 11/4

help plsss

Answers

Answer:

Option B. 7/11

Step-by-step explanation:

The following data were obtained from the question:

Sin x = 7/11

Cos(90 – x) =..?

The value of Cos(90 – x) can simply be obtained as follow:

Recall:

Sin x = Cos(90 – x)

Sin x = 7/11

7/11 = Cos(90 – x)

Therefore, the value of Cos(90 – x) is simply 7/11.

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Para la fabricacin una silla, se necesitan 1 unidad de madera, 1de plstico y 2 de aluminio; una mecedora lleva 1 unidad de madera, 1de plstico y 3 de aluminio, mientras que para un sof se precisautilizar 1 unidad de madera 2 unidades de plstico y 5 unidades dealuminio. La compaa dispona de 400 unidades de madera, 600 deplstico y 1500 de aluminio. Sabiendo que utiliz todas sus existenciasde materiales, cuntos muebles de cada tipo fabric (sillas, mecedoras,sofs)? sistema de ecuacin 3*3 mtodo cramer ... in his outrageously demanding and protective way heloved his children, who were black like him and menaced,like him...What rhetorical device is James Baldwin most clearly using in this passage?A. ImageryB. ParallelismC. AllusionD. Metaphor Potential difference of a battery is 2.2 V when it is connectedacross a resistance of 5 ohm, if suddenly the potential differencefalls to 1.8V, its internal resistance will be Read the excerpt from Eighty Years and More:Reminiscences, 1815-1897.Based on this excerpt, what can be stated about ElizabethCady Stanton's achievements during her childhood?So, as soon as we were dismissed, I ran down the hill,rushed breathless into (my father's] office, laid the newGreek Testament, which was my prize, on his table andexclaimed: "There, I got it!" He took up the book, asked mesome questions about the class, the teachers, thespectators, and evidently pleased, handed it back to me.Then, while I stood looking and waiting for him to saysomething which would show that he recognized theequality of the daughter with the son, he kissed me on theforehead and exclaimed, with a sigh, "Ah, you should havebeen a boy."Even though Stanton's achievements equaled those of aboy, she was considered more accomplished becauseshe was a girl.Because she proved that she could obtain the sametypes of achievements, Stanton earned equality withboys.Because she was a girl, Stanton was unable to obtainthe same types of achievements as boys her age.Even though Stanton's achievements equaled those of aboy, she was considered less accomplished becauseshe was a girl. in what ways did education seek to reinforce nazi beliefs about the aryan race? 5 PointsGreat Britain would have a much colder climate than it does if not for theO A. polar easterliesB. gulf streamC. trade windsD. jet streamSUBMIT In the first step of glycolysis, the given two reactions are coupled. reaction 1:reaction 2:glucose+Piglucose-6-phosphate+H2OATP+H2OADP+PiG=+13.8 kJ/molG=30.5 kJ/mol Answer the four questions about the first step of glycolysis. Is reaction 1 spontaneous or nonspontaneous? Bill Phillips is developing a Monte Carlo simulation to value a complex and thinly traded security. Phillips wants to model one input variable to have negative skewness and a second input variable to have positive excess kurtosis. In a Monte Carlo simulation, Phillips can appropriately use:_________ Which elements cause the catastrophe in Act V, scene iii of Romeo and Juliet? Select 3 options. Romeo mistakenly believes Juliet is dead when he sees her lying in the tomb. The prince scolds both the Capulet and Montague families for their behavior. Juliet acts rashly after she awakens and finds Romeo's lifeless body next to her. Friar Laurence does not reach Romeo in time to tell him that Juliet is alive. Romeo writes a letter to Balthasar explaining his decision that he shows to the families. Which statement accurately describes one role of water on Earth?Water in plants and animals transports nutrients into cells.Water reflects sunlight that hits the oceans. Water builds up rock and soil.Water holds heat by trapping it within the equator. Ms. Parker would like to have $99.000 buy a new car in 8 yearsTo accumulate $99,000 in years, how much should she invest monthly in a sinking tund with 3% Interest compounded monthly? A solenoidal coil with 23 turns of wire is wound tightly around another coil with 310 turns. The inner solenoid is 20.0 cm long and has a diameter of 2.20 cm. At a certain time, the current in the inner solenoid is 0.130 A and is increasing at a rate of 1800 A/s. For this time, calculate: (a) the average magnetic flux through each turn of the inner solenoid; (b) the mutual inductance of the two solenoids; (c) the emf induced in the outer solenoid by the changing current in the inner solenoid. Zohar is using scissors to cut a rectangle with a length of 5x 2 and a width of 3x + 1 out of a larger piece of paper. Which expression can be used to find the perimeter of the rectangle and what is the perimeter if x = 4? (5x2)+(3x+1); 31 centimeters (5x2)+(3x+1); 36 centimeters 2(5x2)+2(3x+1); 62 centimeters 2(5x2)+2(3x+1); 70 centimeters