A website's views were increasing exponentially at a rate of 14% per year.

What was the monthly growth rate?



Enter your answer, rounded to the nearest tenth of a percent, in the box.

Answer: The value of x = 16 units, y = 4.5 units and z = 7.5 units.

Step-by-step explanation:

Since we have given that

ABCD and EFGH are two similar polygons.

Dimensions of ABCD are as follows :

AB = 6 units

BC = 8 units

AD = x units

CD = 10 units

Dimensions of EFGH are as follows :

EF = y

FG = 6 units

EH = 12 units

GH = z

Since they are similar:

[tex]\dfrac{AB}{EF}=\dfrac{BC}{FG}=\dfrac{CD}{GH}=\dfrac{AD}{EH}\\\\\dfrac{6}{y}=\dfrac{8}{6}=\dfrac{10}z}=\dfrac{x}{12}[/tex]

First we take,

[tex]\dfrac{6}{y}=\dfrac{8}{6}\\\\y=\dfrac{36}{8}\\\\y=4.5\ units[/tex]

similarly,

[tex]\dfrac{8}{6}=\dfrac{10}{z}\\\\z=\dfrac{60}{8}\\\\z=7.5\ units[/tex]

similarly,

[tex]\dfrac{8}{6}=\dfrac{x}{12}\\\\x=\dfrac{96}{6}\\\\x=16\ units[/tex]

Hence, the value of x = 16 units, y = 4.5 units and z = 7.5 units.

Answer:

its not 7.5!!! i just took the test and its wrong!!

Answer:

C)3x+6y=9

-2x-4y=4

Step-by-step explanation:

A student took a system of equations, multiplied the first equation 2 by 3 and the second equation by , then added the results together.

Lets check with each option

We multiply the first equation by 2  and second equation by 3 and add it.

When both x  and y terms gets cancelled then we can say there were no solutions.

A) -2x+4y=4

-3x+6y=6

Equation becomes

-4x + 8y = 8

-9x + 18y = 18

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

-13x + 26y = 26

B) 3x+y=12

-3x+6y=6

Multiply first equation by 2  and second equation by 3

6x + 2y = 24

-9x + 18x = 18

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

-3x + 20y = 42

C)3x+6y=9

-2x-4y=4

Multiply first equation by 2  and second equation by 3

6x + 12y = 18

-6x - 12y = 12

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

          0 = 30

Both x  and y terms becomes 0. Hence there is no solution for these system of equations.

Answer:

.3x+6y=9

-2x-4y=4

Step-by-step explanation:

college bridje

Answer:

The correct answer Is B ! i did a study on this before

Step-by-step explanation:

Answer with Step-by-step explanation:

The formula for correlation coefficient is:

[tex]\dfrac{\sum xy-\dfrac{(\sum x\sum y)}{n}}{\sqrt{(\sum x^2-\dfrac{(\sum x)^2}{n})(\sum y^2-\dfrac{(\sum y)^2}{n})}}[/tex]

          x            y          x²           y²          xy

          15           36       225       1296      540

          13           22       169        484        286

          12           6          144        36          72

          11           20         121        400        220

∑        51           84         659      2216       1118

Correlation coefficient=

[tex]\dfrac{1118-\dfrac{51\times 84}{4} }{\sqrt{(659-\dfrac{51\times 51}{4})(2216-\dfrac{84\times 84}{4} ) } } \\\\=\dfrac{47}{\sqrt{8.75\times 452} } \\\\=\dfrac{47}{\sqrt{3955} }\\ \\=0.75[/tex]

Hence, correct option is:

A. 0.75

If all sides have the same length, then this is an equilateral triangle. Therefore, the measures of the angles are the same and amount to 60°.

Therefore we have the equations:

7x - 3 = 60    add 3 to both sides

7x = 63      divide both sides by 7

x = 9

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

11y + 5 = 60        subtract 5 from both sides

11y = 55     divide both sides by 11

y = 5

Check:

m∠N = (7x - 3)° → m∠N = (7(9) - 3)° = (63 - 3)° = 60°

m∠M = (11y + 5)° → m∠M = (11(5) + 5)° = (55 + 5)° = 60°

CORRECT :)

Answer:

The equation in point - slope form of a line that passes through the points (3,-5) and (-8,4) is: y-(-5) = -(9/11) (x-3) or y+5 = -(9/11) (x-3)

Step-by-step explanation:

P1=(3,-5)=(x1,y1)→x1=3, y1=-5

P2=(-8,4)=(x2,y2)→x2=-8, y2=4

Equation in Point-Slope Form: y-y1=m(x-x1)

Slope: m=(y2-y1)/(x2-x1)

Replacing the known values:

m=[4-(-5)] / (-8-3)

m=(4+5) / (-11)

m=(9) / (-11)

m=-(9/11)

Equation in the point - slope form:

y-(-5) = -(9/11) (x-3)

y+5 = -(9/11) (x-3)

n=-3

4^ -(-3)= 32

if you get the same bases ==     4^-n= 4^3(=32)

so n =-3

26/24=x/16

26*2/3=52/3

Answer:

1/2

Step-by-step explanation:

Answer:

t= 2.52 hours

Step-by-step explanation:

It is given that for first 30 km, the speed of bicyclist is v km/hour

time taken to cover first 30 km is given by

[tex]t_{1} =\frac{30}{v}[/tex]           ( [tex]time=\frac{distance}{speed}[/tex])

for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed

so the speed to cover next 17 km = v+2

time taken to cover next 17 km is given by

[tex]t_{2} =\frac{17}{v+2}[/tex]

now total time t spent by the bicyclist to cover entire trip is given by

[tex]t=t_{1} +t_{2}[/tex]

[tex]t=\frac{30}{v} +\frac{17}{v+2}[/tex]

now if v=18 , we have

[tex]t=\frac{30}{18} +\frac{17}{20}[/tex]

now to add fractions we make the denominator same

Hence we will find the LCM of 18 and 20

LCM of 18 and 20 = 180

now we need to make both the denominator equal to 180

[tex]t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}[/tex][tex]t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}[/tex]

[tex]t=\frac{453}{180} =2.52[/tex] hours (approx)

Answer:

2 hours 31 minutes

Step-by-step explanation:

Answer:

The answer is 1.6

Answer:

1.6 minutes/lap

Step-by-step explanation:

Do 20 divided by 12.5 to get 1.6.

Answer:

Its 1/4^10

    Step-by-step explanation:

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression (4⁻²)⁵ can be simplified as 1/1048576 or 1048576 ⁻¹ or 4⁻¹⁰.

Power is the result of multiplying two numbers together. Power is typically expressed by a base number and an exponent. The base number indicates the number being multiplied. The exponent, which is a little number printed above and to the right of the base number, indicates the number of times the base number is multiplied.

The given expression (4⁻²)⁵ can be simplified as shown below.

(4⁻²)⁵

= (1/4²)⁵

= (1/16)⁵

= 1⁵/16⁵

= 1 / 1048576

It can also be rewritten in the form of exponents as,

(4⁻²)⁵

= 4⁽⁻²ˣ⁵⁾

= 4⁻¹⁰

Hence, the given expression (4⁻²)⁵ can be simplified as 1/1048576 or 1048576 ⁻¹ or 4⁻¹⁰.

Learn more about Power:

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Answer:

-4

Step-by-step explanation:

When you subtract a negative number, it is like adding a positive.

-6 - (-2)

-6 + 2

-4

Answer:

I think the answer is -4

Step-by-step explanation:

First change the -(-2) to 2: Next you would add -6-2 to get -4(why you add is because you changed the subtraction sign to addition when you simplified the equation).  

Answer:

192

Step-by-step explanation:

The number of books is 12 times 16.

12 * 16 =

       16

   x  12

----------

      32

+   16

----------

     192

Answer: 192

Answer:

II and III.

Step-by-step explanation:

Having branches near you is very important! Also knowing what you personally need from a bank is important

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation: 3XY 3+5-X-2XY3=XY3+11  USE THE COMMUTATIVE PROPERTY TO REODER THE TERMS...3Y3+5-X-2XY3=XY3+11 COLLECT LIKE TERMS Y3+5-X-Y3X+11..Cancel equal terms on both sides of the equation 5-x=11 move constant to the right side and change its sign  -x=11-5 subtract the numbers -x=6 final answer is X=-6

Answer:

The correct option is B.

Step-by-step explanation:

The distance between two points is

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

From the given figure it is clear that the coordinates of G are (1,2) and the coordinates of H are (6,5).

[tex]D=\sqrt{(6-1)^2+(5-2)^2}[/tex]

[tex]D=\sqrt{(5)^2+(3)^2}[/tex]

[tex]D=\sqrt{25+9}[/tex]

[tex]D=\sqrt{34}[/tex]

[tex]D=5.83[/tex]

[tex]D\approx 5.8[/tex]

The length of GH is 5.8 units. Therefore the correct option is B.

Answer:

Try D because a number times 10 to the power of anything is not that number!

Step-by-step explanation:

Answer:

c = 1/7

Step-by-step explanation:

Here we have to solve the linear equation.

We need to find the value of c.

5 = 6 - 7c

Isolate the variable and constants

Add 7c on both sides, we get

7c + 5 = 6 - 7c + 7c

7c + 5 = 6

Subtract 5 from both sides, we get

7c + 5 - 5 = 6 - 5

7c = 1

Dividing both sides by 7, we get

c = 1/7

Thank you.

Answer:

X = 17°

Step-by-step explanation:

Given that triangle Δ IJK ≅ triangle Δ PQR.

Using CPCTC (corresponding parts of congruent triangles are congruent), we can say angle ∠I = angle ∠P.

given angle ∠I = 3x + 4, and angle ∠P = 72 - x.

Now solving angle ∠I = angle ∠P.

3x + 4 = 72 - x

3x = 72 - x - 4

3x = 68 - x

3x + x = 68

4x = 68

x = 68/4 = 17 degrees.

Hence, the value of x is 17°.

Answer:

25% of 200 is 50

Step-by-step explanation

40% of a number is 80

.40 * n = 80

Divide each side by .4

.40 n/.4 = 80/.4

n = 200

The number is 200

Now lets find 25 percent of that number

.25 * 200 = 50

Answer:

Step-by-step explanation:

0.126126126... = x

Numerator is 14

Correct answer is B.14

Answer:

Megan will have to pay $2, 260 for surgery.

Step-by-step explanation:

1. Translate percent into decimal:

90% -> 0.9

2. Multiply (to find out how much the insurance company pays):

(0.9)(14, 600) = 13, 140

3. Subtract:

14, 600 - 13, 140 = 1, 460

4. Add (to find out how much Megan pays):

1, 460 + 800 = 2, 260

Answer:

Megan payed $2,260

Step-by-step explanation:

Answer:

Georgia would get 32 sweets and Courtney would get 56 sweets.  

Step-by-step explanation:

This question asks you to find equivalent fractions or ratio.  They give us the starting ratio of 4:7, which represents that for every four sweets that Georgia receives, Courtney receives 7.  They also tell us that Courtney gets 24 more sweets than Georgia.  If we let 'x' equal the number of sweets that Georgia receives and 'x+24' equal the number of sweets that Courtney receives, then we can set up a proportion where 4/7 = x/(x+24).  We then can use cross-multiplication and division to solve for the value of 'x'.  In this case 4(x +24) = 7x.  We use distribution to get 4x + 96 = 7x, then inverse operations (subtracting 4x from both sides) to get 96 = 3x, then inverse operations to divide 3 by both sides to get x=32.  32 would be the number of sweets Georgia receives and 32+24=56 would be the number of sweets that Courtney receives.  

Georgia and Courtney share sweets in the ratio 4:7, meaning for every 4 sweets Georgia gets, Courtney has 7. Given that Courtney gets 24 more sweets than Georgia, together they get a total of 88 sweets.

This question is about the concept of ratio in mathematics. Georgia and Courtney share sweets in the ratio 4:7. This can also mean that for every 4 sweets Georgia gets, Courtney gets 7. But, the question mentions that Courtney gets 24 more sweets than Georgia.

Let's assume that Georgia gets 4x sweets and Courtney gets 7x sweets. So, 7x - 4x = 24, because Courtney gets 24 more sweets. Hence 3x equals to 24. Therefore, x = 24/3 = 8.

Now to find how many sweets each gets, we multiply their ratio parts by this value. For Georgia, we get: 4 * 8 = 32 sweets, and Courtney gets, 7 * 8 = 56 sweets. Both together get 32 + 56 = 88 sweets.

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Hello,

When you are leaving an answer in terms of pi, you are simply leaving the pi symbol in the answer. Here is the symbol: π

- I . A -

In mathematics, 'leave it in terms of pi' means expressing the answer using the symbol π instead of decimal approximation. Pi is an irrational number, so it goes on forever without repeating. To leave an answer in terms of pi, keep π in the expression and perform calculations with it.

In mathematics, when it says 'leave it in terms of pi', it means that the answer should be expressed using the symbol π instead of rounding it to a decimal approximation like 3.14. Pi is an irrational number, meaning its decimal representation goes on forever without repeating. To leave an answer in terms of pi, you can keep π in the expression and perform any calculations with it. For example, if calculating the area of a circle, the formula would be A = πr², where r is the radius.

Answer:

1 1/11 times greater

Step-by-step explanation:

When we are looking for how man time greater, we know we have to divide

36/33

Each number can be divided by 3

12/11

We can change this to a mixed number

1 1/11 times greater

Answer:

the right answer is (8, 8)

Step-by-step explanation:

Answer:

its C

Step-by-step explanation:

got it right on edg

We have answered a three-part mathematical question. First, we converted 35% to a fraction, resulting in 7/20. We then calculated the sale price of inline skates by deducting this percentage from the original price to reach $81.24. Finally, we computed a 5% tax on the sales price to find a final total cost of $85.3.

This question moves through several concepts in percentage and tax calculation. The first part of the question asks you to express 35% as a fraction, which, when reduced, can be represented as 7/20.

For the second part of the question, in order to calculate the sale price, we need to compute 35% ($43.75) of the original price ($124.99) and deduct this amount from the original price, resulting in a sale price of $81.24.

Lastly, we need to calculate and add a 5% sales tax to the sale price. 5% of $81.24 is $4.06. Adding this to the sale price, we get a total cost of $85.3.

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