4. A square court for playing the game four square has an area of 256 ft?. How long is one
side of the court?

[tex]\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$200\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=200\left(1+\frac{0.04}{1}\right)^{1\cdot 5}\implies A=200(1.04)^5\implies A=243.33058048[/tex]

0.000006 is 300 times greater than 0.00000002.

To find out how many times greater 0.000006 is than 0.00000002,

We need to divide 0.000006 by 0.00000002.

So, let's perform the calculation:

0.000006 ÷ 0.00000002 = 300

This means that 0.000006 is 300 times greater than 0.00000002.

https://brainly.com/question/33969335

#SPJ2

Answer:

1a. 460313

1b. 405040

1c. 100000 more

2a. 176960

2b. 12097

2c. 839000

2d. 452210

Step-by-step explanation:

2d. 442210

+ 10000

________

452210

2c. 849000

- 10000

________

839000

2b. 13097

- 1000

_______

12097

2a. 100000

+ 76960

________

176960

1c.

[tex] - 347077 + 447077 = 100000[/tex]

1b.

[tex]300000 + 90000 + 5000 + 40 = 395040 \\ \\ 10000 + 395040 = 405040[/tex]

1a.

[tex] -100000 + 560313 = 460313[/tex]

I am joyous to assist you anytime.

Answer:

(x - 6)(x + 3)

Step-by-step explanation:

Given

x² - 6x + 3x - 18 ( factor the first/second and third/fourth terms )

= x(x - 6) + 3(x - 6) ← factor out (x - 6) from each term

= (x - 6)(x + 3)

2x+10 + 4x+1

2x+4x+10+1 ( combine like terms)

2x+4x=6x

10+1=11

Answer: 6x+11

Answer:

6x+11

Step-by-step explanation:

Collect the like terms and add them up.

2x+4x and 10+1

=6x+11

Have a nice day!!!!!!! :-)

KA

Answer:

I don't actually know the answer to this question please

I answered this question already.

Answer:

3

Step-by-step explanation:

If you look closely every X is changing by 3 so 3·y=x

Answer:

The value in the table that makes the quantities proportional to one another is y = 3

Step-by-step explanation:

Two quantities x and y  are proportional one to another if they can be expressed  as

y = kx

where k is the constant of proportionality. We can find k using an specific point. Take the first one

y = kx

k=  y/x  with (3.1 )

k= 1/3

So

y =1/3x for this case

If the two quantities are proportional, this rule must be true for any point (x,y) . Lets prove it

Point 2 (6,2)

2 =1/3*(6)

2= 2 True

Point 4 (12,4)

4 =1/3*(12)

4= 4 True

So to accomplish the rule in point 3, and finally in all table we must have that

y =1/3x is true  for Point 3 (9,y) Then

y = 1/3 (9) = 9/3 = 3

y= 3

Y must be 3

Answer:  4

Step-by-step explanation:

Inversely proportional means xy = k, where k is the constant of proportionality

First, find k when x = 2 and y = 400 ----> 2(400) = k   --> 800 = k

Then, find y when x = 200 (knowing that k = 800)

                                    200y = 800

                                           y = 4

Answer:

6 Minutes

Step-by-step explanation:

3 days is 72 hours

72/6 = 12

12 * 0.5 = 6

Answer:

17140

Step-by-step explanation:

The number in the tenths place is 5 or higher so you need to round it up to 17140.

Answer:

17140

Step-by-step explanation:

If the number in the tenths place is 5 or more, round the number up.

Answer:

Amount of sales = rs 10,000.

Step-by-step explanation:

He earns 2000 - 1000 =  rs 1000 from sales.

This  equals 10% ( = 0.10 as a fraction) of his sales so his sales must have been  1000 / 0.10

= rs 10,000.

Answer:

It's C. If you divide them you get 1.25 for both of them and its proportional

Answer: 0.15

Step-by-step explanation:

Multiply 0.03 by 5.

Answer:0.15

Step-by-step explanation:

First multiply 3 and 5. Then you will get 15. In the question it says 0.03 and its 2 digit from decimal so in 15 you will put a decimal 2 digit from the left and you will get 0.15

Answer:

Emmett

Step-by-step explanation:

Kira is younger than Nila

So Nila>Kira

Nila is older than Mike and Mike is older than Kira

Nila>Mike>Kira

Nila is younger than Emmett

Emmett>Nila>Mike>Kira

Answer:

Emmett is older

Nila is older than Kira.

Nila is older than Mike.

Nila is younger than Emmett.

Therefore, Emmett is older than Nila.

And if Nila is older than Kira, and Emmett is older than Kira, Emmett is oldest.

Answer:

b ≈ 13.80 in

Step-by-step explanation:

Since the triangle is right use the tangent ratio to solve for b

tan17.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{AC}{43.21}[/tex]

Multiply both sides by 43.21

43.21 × tan17.71° = AC, hence

AC = b ≈ 13.80 ( to 2 dec. places )

Juice bottles are J, replace j with 6 in the equation and solve for w:

3w + 4(6) = 39

3w + 24 =39

Subtract 24 from both sides:

3w = 15

Divide both sides by 3:

w = 15/3

w = 5

You can buy 5 water bottles.

Answer:

5

Step-by-step explanation:

The number of water bottles [tex]= w[/tex]

The number of juice bottles [tex]= j[/tex]

We have, [tex]3w + 4j = 39[/tex]

When we purchase 6 bottles of juice, [tex]j = 6[/tex]

So,

[tex]3w + 4j = 39[/tex]

[tex]3w + 4 \times 6 = 39[/tex]

[tex]3w + 24 = 39[/tex]

[tex]3w = 39 - 24[/tex]

[tex]3w = 15[/tex]

[tex]w = \frac{15}{3}[/tex]

[tex]w = 5[/tex]

Therefore, we can buy 5 bottles of water.

Answer:

-4 = y

Step-by-step explanation:

3(6+5y)=2(-5+4y)

18 + 15y = -10 + 8y

+10             +10

28 + 15y = 8y

      - 15y     -15y

 28 = - 7y

28/-7 = -4

-7y/-7 = y

Answer:

y = -4

Step-by-step explanation:

distribute both 3 and 2 through the parenthesis, move the variable to the left side and change its sign, move constant to the right side and change its sign, collect like terms, calculate the difference, divide both sides of the equation by 7, and your answer would be -4

The solution to the quadratic equation -2x² - 16x - 44 = 0 are [tex]x = -4 -4\sqrt{6}i \ and \ x = -4 +4\sqrt{6}i[/tex]

Given the quadratic equation in the question:

-2x² - 16x - 44 = 0

To solve the quadratic equation -2x² - 16x - 44 = 0, we use the quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac} }{2a}[/tex]

From the equation:

a = -2, b = 16, c = -44

Plug these values into the above:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-(-16)\±\sqrt{(-16)^2 - 4(-2)(-44)} }{2(-2)} \\\\x = \frac{16\±\sqrt{256 - 352} }{-4} \\\\x = \frac{16\±\sqrt{-96} }{-4} \\\\x = \frac{16\±4\sqrt{6}i }{-4} \\\\x = -4 \±4\sqrt{6}i\\\\x = -4 -4\sqrt{6}i \ or \ x = -4 +4\sqrt{6}i[/tex]

Therefore, the values of x are [tex]x = -4 -4\sqrt{6}i \ and \ x = -4 +4\sqrt{6}i[/tex]

Answer:

22 milliliters

step by step

solution B x 22

20 x 22 = 440 milliliters

Final answer:

Tom uses 1,500 mL of Solution B. By setting up equations using the volume percentage of alcohol in each solution and solving for 'x', the volume of Solution A, we find the required volume for Solution B.

Explanation:

To solve for the volume of Solution B that Tom uses, we first establish the equations based on the information given. Let's denote the volume of Solution A as x mL. Thus, the volume of Solution B will be x + 500 mL. The total amount of pure alcohol in the final mixture is 440 mL.

Using the volume percentage for alcohol content in each solution, we can set up two equations to find x. The first equation is based on Solution A (14% alcohol) and the second on Solution B (20% alcohol):

The total volume of alcohol combined from both solutions is equal to 440 mL, which gives us the equation:

0.14x + 0.20(x + 500) = 440

Solving for x we get:

Since x is the volume of Solution A and we know that Solution B is 500 mL more than Solution A, we calculate the volume of Solution B as follows:

x + 500 = 1,000 + 500 = 1,500 mL

Therefore, Tom uses 1,500 mL of Solution B.

Answer:

-4

-----

3

Step-by-step

x1,y1

(4,0),

x2,y2

(-2,8)

y2-y1/x2-x2

8-0/(-2)-4=8/-6= -4

                          -----

                           3

Answer:

1 hour

Step-by-step explanation:

set town one equation to  3 + 6x and town two equation to 6+3x

set these two equations equal to each other and solve for x

3 + 6x = 6 + 3x

3x = 3

x = 1

1 hour

Final answer:

The slope of the line represented by the equation 12x - 8y + 7 = 9 is 3/2. To find this, the equation was rearranged into slope-intercept form, revealing the slope as the coefficient of x.

Explanation:

To find the slope of the line with the given equation 12x - 8y + 7 = 9, you first need to rearrange the equation into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.

First, subtract 12x from both sides of the equation to isolate terms with y on one side:

-8y = -12x + 2

Next, divide each term by -8 to solve for y:

y = (12/8)x - 2/8

Simplify the fractions:

y = (3/2)x - 1/4

Now the equation is in slope-intercept form, and you can see that the slope m is 3/2 or 1.5. Therefore, the slope of the line is 3/2.

Final answer:

The ratio of boys to girls in Mrs. Fronko's class in simplest form is 3:4, obtained by dividing both sides of the given ratio, 6:8, by the greatest common divisor, which is 2.

Explanation:

To find the ratio of boys to girls in Mrs. Fronko's class in its simplest form, we will start with the ratio given, which is 6 boys for every 8 girls. This can be written as 6:8. To simplify ratios, we divide both sides of the ratio by the greatest common divisor. In this case, the greatest common divisor of 6 and 8 is 2. Therefore, we divide both numbers by 2 to find the simplest form of the ratio.

6 ÷ 2 = 3 and 8 ÷ 2 = 4.

After dividing both numbers by 2, the ratio becomes 3:4. This indicates that for every 3 boys, there are 4 girls in Mrs. Fronko's class, and this is the simplest form of the ratio.

Answer:

x=-4 y=2

Step-by-step explanation:

y=-14-9x÷9

6x-5 (14-9x÷9)=-34

6x-(70+45x÷9)=-34

Take LCM

and then do it