Which of the following formulas would find the surface area of a right cylinder
where h is the height, ris the radius, and BA is the base area?
Check all that apply.
A. 2 pi r^2 + 2 pi rh
B. Ba + 2 pi rh
c. Ba + pi r^2
D. Pi r^2 + pi rh
E.2 pi r^2

Which Of The Following Formulas Would Find The Surface Area Of A Right Cylinderwhere H Is The Height,

Answers

Answer 1

Answer:

A and B

Step-by-step explanation:

The surface area is [tex]2\pi rh+2\pi r^2[/tex]

BA is also the base, which is [tex]\pi r^2[/tex]

That means that B is also an answer.

Answer 2

The formulas which can be use to find the surface area of a right cylinder is  2πr² + 2 πrh and BA+2πrh.

What is surface area of cylinder?

Surface area of cylinder is the area of each faces by which it is enclosed.

The surface area of cylinder can be calculated with the following formula;

[tex]A=2\pi r^2+2\pi rh[/tex]

Here, (h) is the height of the cylinder and (r) is the radius.

This formula is similar to the option A. Thus, the option A is correct. The base of the cylinder is circular and there are two circle at the base of a cylinder.

The base area of the cylinder is,

[tex]BA=2(\pi r^2)\\BA=2\pi r^2[/tex]

Put this value in the surface area formula of cylinder as,

[tex]A=BA+2\pi rh[/tex]

Thus, the option B is also correct.

Hence, the formulas which can be use to find the surface area of a right cylinder is  2πr² + 2 πrh and BA+2πrh.

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Related Questions

15. Determine whether the pair of lines is parallel, perpendicular, or neither.
1
y = 2x - 5 and y
2x+7
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The lines are perpendicular because the product of their slopes is - 1.
B. The lines are parallel because the product of their slopes is - 1.
C. The lines are parallel because the slope of both lines is the same,
(Type an integer or a fraction)
D. The lines are perpendicular because the slope of both lines is the same,
(Type an integer or a fraction.)
E. The lines are neither parallel nor perpendicular because neither are their slopes the same nor
is the product of their slopes - 1.

Answers

Answer:

C. The lines are parallel because the slope of both lines is the same

Step-by-step explanation:

Parallel lines are formed when 2 lines have the same slope but different y-intercepts. Since the 2 given equations show this, the answer choice is C.

solve the equation x^4+7x^2-18=0 and express each solution in a+bi form

Answers

Answer:

The following are the solutions found for x:

+√2 + 0i

-√2 + 0i

0 + 3i

0 - 3i

Step-by-step explanation:

The given equation is:

x⁴ + 7x² - 18 = 0

Rewrite x4 as (x²)²

(x²)² + 7x² − 18 = 0

Let u = x²

u² + 7u − 18 = 0

Factorize:

u² + 9u - 2u - 18 = 0

u(u+9) -2(u+9) = 0

(u-2)(u+9) = 0

(x²-2)(x²+9) = 0

Seperate both equations:

x² - 2 = 0                     x² + 9 = 0

x = ±√2                       x = ±√-9

x = ±√2                       x = ± 3√-1

x = ±√2 + 0i                x = 0 ± 3i

Answer:

C

Step-by-step explanation:

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

prove that the value of the expression (125^2+25^2)(5^2–1) is divisible by 3

Answers

Step-by-step explanation:

[tex]A =(125^{2} + 25^{2} ) (5^{2} - 1)\\A = [(5^{3})^{2} + (5^{2})^{2} ] . (5^{2} - 1)\\A = (5^{6} + 5^{4} ). (5^{2} - 1)\\A = [5^{4} . ( 5^{2} + 5)].(5^{2} - 1) \\A = 5^{4} . (25+ 5). (5^{2} - 1)\\A = 5^{4} . 30. (5^{2} - 1)\\[/tex]

Since 30 is divisible by 3

Thus, A is divisible by 3

Good luck!

[tex](125^2+25^2)(5^2-1)=\\\\=(125^2+25^2)(25-1)=\\\\=(125^2+25^2)\cdot24=\\\\=(125^2+25^2)\cdot8\cdot{\bold{\underline3}}[/tex]

125 and 25 are integer ⇒125² and 25² are integer ⇒(125²+25²) is integer

One of factors of given expression  is 3 so given expression  is divisible by 3

                                            q.e.d.  

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.

Six friends play golf. Their scores are
87,95, 92, 88, 91, and 96. What is the mean,
median, and mode of the friends' scores?

Answers

The mean is where you add all the numbers up then divide by the amount of numbers there are so 6 that will give you the mean

The mode is the most occurring number

Put all the numbers in order from smallest to largest the median would be the middle number

Answer:

Mean is the average of all the data.

= 87 + 95 + 92 + 88 + 91 + 96 / 6

= 91.5

Mode is the data value appearing most often in the data set.

So, there is NO mode

Median is the middle value of the data set, arranged in ascending order.

87, 88, 91, 92, 95, 96

= ( 91+92) / 2

= 91.5

How many integers are between sqrt 37 and 5*sqrt 11?

Answers

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

Select the statements that are true.

Answers

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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The​ day's high temperature in St. Louis comma Missouri was recorded as 77 degrees' F. Use the formula Upper C=5/9(F-32) to write 77 degrees' F as degrees Celsius. The​ day's high temperature written as degrees Celsius is _______- degrees' Celsius.

Answers

Answer:

The​ day's high temperature written as degrees Celsius is 25 degrees' Celsius.

Step-by-step explanation:

The​ day's high temperature in St. Louis ,Missouri was recorded as 77 degrees F.

We are supposed to find the​ day's high temperature written as degrees Celsius.

Formula : [tex]C=\frac{5}{9}(F-32)[/tex]

Substitute the value of F is 77 degrees

So,[tex]C=\frac{5}{9}(77-32)[/tex]

[tex]C=\frac{5}{9}(45)[/tex]

C=25

Thus, The​ day's high temperature written as degrees Celsius is 25 degrees' Celsius.

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

Find the outlier in the set of data.(
17, 13, 16, 18, 38, 14, 21, 24

A. 38
B. 14
C 16
D 17

Answers

The answer is A (38)

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

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.

Help idk how to do this

Answers

Answer:

[tex]y=5[/tex]

Step-by-step explanation:

[tex]BD=16\\BC=16/2=8\\CD=16/2=8[/tex]

[tex]2y-2=8\\2y-2+2=8+2\\2y=8+2\\2y=10\\2y/2=10/2\\y=5[/tex]

[tex]y+3=8\\y+3-3=8-3\\y=5[/tex]

The answer is y=5!!!

Aliyah wants to estimate the value of the quotient of 5.68 times 10^-3 and 8.54 times 10^-9. Which statement about the value is true?

a. The value will be greater than 1 because (negative 3) divided by (negative 9) is a positive number. A number in scientific notation with a positive exponent has a value greater than 1.

b. The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.

c. The value will be less than 1 because 5.68 divided by 8.54 is less than 1. The negative exponents will make it even smaller.

d. The number will be less than 1 because 5.68 times 10 Superscript negative 3 is a very small number and division always makes the size of a number smaller.

Answers

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:

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.

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Which model represents a percent error of 25%? A model with 12 squares labeled exact value and 3 squares labeled error. A model with 10 squares labeled exact value and 5 squares labeled error. A model with 9 squares labeled exact value and 3 squares labeled error. A model with 8 squares labeled exact value and 4 squares labeled error.

Answers

Answer:

A model with 12 squares labeled exact value and 3 squares labeled error.

Step-by-step explanation:

The proportion of error is the number of errors divided by the number of trials. The percentage is the proportion multiplied by 100.

A model with 12 squares labeled exact value and 3 squares labeled error.

3/12 = 0.25

0.25*100 = 25%

This is the answer.

A model with 10 squares labeled exact value and 5 squares labeled error.

5/10 = 0.5

0.5*100 = 50%

A model with 9 squares labeled exact value and 3 squares labeled error.

3/9 = 0.3333

0.3333*100 = 33.33%

A model with 8 squares labeled exact value and 4 squares labeled error.

4/8 = 0.5

0.5*100 = 50%

Answer:

A

Step-by-step explanation:

edg 2020

The length of a rectangle is 4 inches longer than the width. The perimeter is 48 inches. What is the width?
w = 14 cm
w = 28 m
w = 20 in
w = 10 in

Answers

Answer:

w = 10 in

Step-by-step explanation:

Perimeter is the measure of the length of all sides

48 = 2L + 2w

L = w + 4

^ use substitution

48 = 2(w + 4) + 2w     simplify.

48 = 2w + 8 + 2w       combine like terms

48 = 4w + 8           then subtract 8 from both sides

40 = 4w     then divide by 4 to isolate w

10 = w

Solve 2x + 4 > 16.
A. X>6
B. X> 10
C. x< 6
D. x<10

Answers

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

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

Consider the function y = f(x) = 3
The values of (1) and ((t), rounded to the nearest hundredth, are
and
, respectively.

Answers

Answer:

f(½) = 1.73

f(¼) = 1.32

Step-by-step explanation: 1.73 is the first one and 1.32 is the second one.

A catcher's and a pitcher's uniform numbers are consecutive integers whose product is 306. If the catcher's was the smaller number, determine the uniform number of each player. catcher's number pitcher's number

Answers

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

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

Use the method of equating coefficients to find the values of a, b, and c: (x+4)(ax2+bx+c)=2x3+9x2+3x−4

Answers

Answer:

[tex]a = 2; b = 1\ and\ c = -1[/tex]

Step-by-step explanation:

Given

[tex](x+4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]

Required

[tex]Find\ a,b,c[/tex]

[tex](x+4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]

Open Bracket

[tex](x)(ax^2+bx+c)+(4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]

[tex]ax^3+bx^2+cx+4ax^2+4bx+4c=2x^3+9x^2+3x-4[/tex]

Collect like terms

[tex]ax^3+bx^2+4ax^2+cx+4bx+4c=2x^3+9x^2+3x-4[/tex]

By comparing coefficients; we have

[tex]ax^3=2x^3\\bx^2+4ax^2=9x^2\\cx+4bx=3x\\4c=-4[/tex]

Remove all traces of x from both sides

[tex]a=2\\b+4a=9\\c+4b=3\\4c=-4[/tex]

From the first equation;

[tex]a = 2[/tex]

From the last equation

[tex]4c = -4[/tex]

Divide both sides by 4

[tex]\frac{4c}{4} = \frac{-4}{4}[/tex]

[tex]c = \frac{-4}{4}[/tex]

[tex]c = -1[/tex]

Substitute -1 for c in the third equation

[tex]c+4b=3[/tex]

[tex]-1 + 4b = 3[/tex]

Add 1 to both sides

[tex]1-1 + 4b = 3+1[/tex]

[tex]4b = 4[/tex]

Divide both sides by 4

[tex]\frac{4b}{4} = \frac{4}{4}[/tex]

[tex]b = \frac{4}{4}[/tex]

[tex]b = 1[/tex]

Substitute 2 for a in the second equation [To confirm the value of b]

[tex]b+4(2)=9[/tex]

[tex]b + 8 = 9[/tex]

Subtract 8 from both sides

[tex]b + 8 - 8 = 9 - 8[/tex]

[tex]b = 1[/tex]

Hence;

[tex]a = 2; b = 1\ and\ c = -1[/tex]

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...

if u help me i will be very thankful!!

Answers

Answer:

C

Step-by-step explanation:

[tex](a^{-2}\cdot 8^7)^2= \\\\a^{-2\cdot 2}\cdot 8^{7\cdot 2}= \\\\a^{-4}\cdot 8^{14}[/tex]

Therefore, the correct answer is C. Hope this helps!

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

A sample of 30 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their favorite color patterns were.The counts have been recorded in the accompanying table according to pattern and the number of students who selected that pattern. These data can be graphically displayed by a bar graph. Which graph below correctly displays the data from the list and the table? A. Graph A B. Graph B C. Graph C D. Graph D

Answers

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.

What is a graph?

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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Determine the amount of money you need to invest to have $26,000 dollars in 3 years if you invest it at 2.5% annual interest,
compounded monthly.

Answers

Answer:

$24123.20

Step-by-step explanation:

Remember your compounded interest rate formula: A = P(1 + r/n)^nt

Step 1: Write in known variables

26000 = P(1 + 0.025/12)^36

Step 2: Solve for P

26000 = P(1.0778)

P = 26000/1.0778

P = 24123.2

And we have our final answer!

Which transformation is not an isometry?

Answers

The first one the x’s
Transformation a) is not an isometry.

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

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