The area of a square is 64n^36 units. What is the side length of one side of the square? 8n^6 8n^18 64n^6 64n^18

Answer:

13

Step-by-step explanation:

In the question area!! lol

To find Janak's age, we set up an equation based on the information that his age is twice younger than his father's and six times younger than his sister's with their combined age totaling 118. Upon solving the algebraic equation, we find that Janak is approximately 13 years old.

We are given a problem where Janak is twice younger than his father and six times younger than his sister. The total age of Janak, his father, and his sister is 118 years. To solve for Janak's age, we will use algebra.

Let's assume Janak's age is J, his father's age will be 2J (twice Janak's age), and his sister's age will be 6J (six times Janak's age). We express the total age as the sum of their individual ages:

The equation that represents the total age is:

Combining the terms gives us:

To find Janak's age, we divide both sides of the equation by 9:

After performing the division, we get:

So, Janak is approximately 13 years old.

Answer:

The general equation is 4x² + 4y² - 8 x + 19 y - 140 = 0

Step-by-step explanation:

* Lets revise the general form of the equation of the circle

- The general form : x² + y² + Dx + Ey + F = 0, where D, E, F are constants

- To find the values of D, E , F we must make three equations contains

  D, E , F and solve them simultaneous

- We can do that if we have three points on the circle to substitute

  x and y in the equation by them

* Now lets solve the problem

- There are three point on the circle (-5 , 0) , (0 , 4) , (2 , 4)

∵ The equation of the circle is x² + y² + Dx + Ey + F = 0

- Lets use the first point

∵ point (-5 , 0) lies on the circle

∴ (-5)² + (0)² + D(-5) + E(0) + F = 0 ⇒ simplify

∴ 25 - 5D + F = 0 ⇒ isolate F

∴ F = 5D - 25 ⇒ (1)

- Lets use the second point

∵ point (0 , 4) lies on the circle

∴ (0)² + (4)² + D(0) + E(4) + F = 0 ⇒ simplify

∴ 16 + 4E + F = 0 ⇒ substitute F form (1)

∴ 16 + 4E + 5D - 25 = 0

∴ 5D + 4E - 9 = 0 ⇒ add 9 to both sides

∴ 5D + 4E = 9 ⇒ (2)

- Lets use the third point

∵ point (2 , 4) lies on the circle

∴ (2)² + (4)² + D(2) + E(4) + F = 0 ⇒ simplify

∴ 4 + 16 + 2D + 4E + F = 0 ⇒ simplify

∴ 20 + 2D + 4E + F = 0 ⇒ substitute F form (1)

∴ 20 + 2D + 4E + 5D - 25 = 0 ⇒ simplify

∴ 7D + 4E - 5 = 0 ⇒ add 5 to both sides

∴ 7D + 4E = 5 ⇒ (3)

- Subtract (3) from (2) to eliminate E

∴ -2D = 4 ⇒ ÷ -2

∴ D = -2

- Substitute the value of D in (3) to find E

∴ 7(-2) + 4E = 5

∴ -14 + 4E = 5 ⇒ add 14 from both sides

∴ 4E = 19 ⇒ ÷ 4

∴ E = 19/4

- Substitute the value of D in (1) to find F

∴ F = 5(-2) - 25

∴ F = -10 - 25 = -35

∴ F = -35

* lets write the equation of the circle

∴ x² + y² - 2x + 19/4 y - 35 = 0 ⇒ × 4

∴ 4x² + 4y² - 8 x + 19 y - 140 = 0

* The general equation is 4x² + 4y² - 8 x + 19 y - 140 = 0

Answer:

Step-by-step explanation:

(7x + 9)x + 90               use the distributive property a(b + c) = ab + ac

= (7x)(x) + (9)(x) + 90

=7x² + 9x + 90

Answer:B

Step-by-step explanation:

Answer: B.  263.16 hertz

Step-by-step explanation:

We are given the time period of a musical note T= 0.0038 seconds.

Since ,we know that the frequency is given by the reciprocal value of the time period.

Therefore, the frequency of the musical note middle  is given by :-

[tex]\nu=\dfrac{1}{T}\\\\\Rightararow\nu=\dfrac{1}{0.0038}\\\\\Rightararow\nu=263.157894737\approx263.16\ Hz[/tex]

Hence, the  frequency of the musical note middle C = 263.16 Hertz

[tex]\bf -\cfrac{1}{10}-\left( -\cfrac{1}{2} \right)\implies -\cfrac{1}{10}+\cfrac{1}{2}\implies \stackrel{\textit{using the LCD of 10}}{\cfrac{-(1)1~~+~~(5)1}{10}}\implies \cfrac{-1+5}{10} \\\\\\ \cfrac{4}{10}\implies \stackrel{simplified}{\cfrac{2}{5}}[/tex]

The graph representing Sally's distance from Los Angeles should depict a linear decrease from the point (0, 300) with a slope of -60. The line starts at 300 on the y-axis and consistently drops 60 units for every hour of travel time.

To find which graph could represent Sally's distance from Los Angeles in terms of time, we first determine the equation for Sally's journey. Since Sally drives at an average speed of 60 miles per hour, the distance she has driven after t hours is given by the equation d = 300 - 60t, where 300 is the initial distance from Los Angeles, and 60t represents the distance traveled in t hours.

The graph of this equation would be a straight line starting at the point (0, 300) and decreasing with a slope of -60, which represents the rate at which Sally approaches Los Angeles. This line shows how Sally's distance from Los Angeles decreases over time at a constant rate.

Therefore, the appropriate graph should start at 300 on the y-axis and slope downwards to the right, crossing the y-axis at points that are 60 units lower for each additional hour on the x-axis. This will show a linear decrease in distance over time, which corresponds to Sally's constant speed of 60 miles per hour.

Answer:

Step-by-step explanation:

Its range is all real numbers.   FALSE.  Its range is [-1, 1].

Its period is 2pi.   TRUE

Its maximum is –1.    FALSE; -1 is its minimum.

Its domain is all real numbers.    TRUE

Its maximum is 1.  TRUE

The following describes a sine function:

The sine function is one out of the three basic functions we have in trignometry.

Sine theta in a right triangle is the ration of the opposite side of the triangle to its hypotenuse side.

The sine function is positive in the first two quadrants but negative in the other two.

In conclusion, the sine function can be described in so many ways but a few has been listed above.

Learn more about sine function : https://brainly.com/question/2491845

#SPJ2

Answer:

720 i would think.

Step-by-step explanation:

Answer:

8 minutes if Jane was assumed to be stationary

Step-by-step explanation:

The question is on relative speed

First find the distance covered by Jane when Sally left school

Speed=Distance/Time ⇒⇒ Distance=Time×Speed

Time=10minute=10/60 hrs

Jane's speed= 12mph

Distance covered by Jane when Sally left school was= 12 ×10/60 = 2miles

So, when Sally left school, Jane was 2 miles away. To find the time Sally requires to catch up with Jane;

Time=Distance/speed

Time of meeting =2/15 hrs ⇒⇒ 2/15 × 60 =8minutes

131 because u divide 96 and 16 and get 6 then add that to 125

Answer:

- 7, 28, - 112, 448

Step-by-step explanation:

To obtain the next term in a geometric sequence multiply the previous term by r

Given

a₁ = - 7 and r = - 4, then

a₂ = - 7 × - 4 = 28

a₃ = 28 × - 4 = - 112

a₄ = - 112 × - 4 = 448

The first four terms are - 7, 28, - 112, 448

For this case we must write in algebraic symbology the expression described above:

We have an equation, then:

We construct the equation:

[tex]x ^ 2 + y ^ 2-2x + 7y + 1 = 0[/tex]

Answer:

[tex]x ^ 2 + y ^ 2-2x + 7y + 1 = 0[/tex]

Answer: B. A cube with side lengths of 4 feet has a volume of 64 cubic feet.

Step-by-step explanation:

We know that the volume of a cube is the cube of the side-length.

Given : The volume of a cube can be written  in function notation as v(s).

The formula to find the volume of cube having sides as 's' will be :-

[tex]\text{V(s)}=s^3[/tex]

Then, the expression [tex]v(4)= 64[/tex], represents that for side =4 units , the volume of cube is 64 cubic units.

Hence for unit = feet , it represents that  A cube with side lengths of 4 feet has a volume of 64 cubic feet.

Answer:

Step-by-step explanation:

1.2,0.67,0.625,0.6

the answer is .6,.625,0.67,1.2

Answer:

11+x

Step-by-step explanation:

Straight outta Khan

The width of the rectangle with an area of 121-x^2 square meters and a length of 11 - x meters is represented by the expression 11 + x meters.

The area of a rectangle is the product of its length and width. In this case, the area is given as 121-x^2 square meters, while the length is given as 11 - x meters. To find the expression for the width, we divide the area by the length. Therefore, the width w can be represented by the following equation:

w = \(\frac{Area}{Length}\) = \(\frac{121-x^2}{11-x}\).

Due to the structure of the quadratic area (a perfect square difference) and the linear length (a factor of the quadratic), the equation simplifies to:

w = \(\frac{(11+x)(11-x)}{11-x}\).

Canceling out the common factor (11-x), we are left with:

w = 11 + x.

Thus, the expression representing the width of the rectangle is 11 + x meters.

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Obviously it's impossible for anyone to measure the weight and length of all US rattlesnakes.

Thus, A is correct.  200 is not a large sample compared to millions or billions of rattlesnakes, but is still a lot more reasonable and workable than attempting to measure ALL US rattlesnakes.

Answer:

your answer is b

Step-by-step explanation:

A. 3, 4, 6

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. On the other hand, a rectangular prism is a solid whose base is a rectangle. The surface area of a solid is the total area of its outer surface. For a rectangular prism, we have three characteristic sides, which are height, width and depth. If:

[tex]height=a \\ \\ width=b \\ \\ depth=c[/tex]

Then, from the figure below we have:

[tex](1) \ a\times b=24 \\ \\ (2) \ a\times c=18 \\ \\ (3) \ b\times c=12 \\ \\ \\ From \ 1 \ and \ 3: \\ \\ b=\frac{24}{a}=\frac{12}{c} \therefore 24c=12a \ (4) \\ \\ From \ 2: \\ \\ a=\frac{18}{c} \\ \\ 2 \ into \ 4: \\ \\ 24c=12\times \frac{18}{c} \therefore c^2=9 \therefore \boxed{c=3} \\ \\ \\ c \ into \ 2: \\ \\ a=\frac{18}{3} \therefore \boxed{a=6} \\ \\ \\ c \ into \ 3: \\ \\ b=\frac{12}{3} \therefore \boxed{b=4}[/tex]

Finally, the dimensions are:

3, 4 and 6 cm

ANSWER

The solution is (-1,2)

EXPLANATION

The system is:

y = 2x + 4

and

y = 8x + 10

Equate the two:

2x + 4 =8x + 10

Group similar terms:

8x-2x=4-10

Combine similar terms,

6x=-6

Divide both sides by 6.

x=-1

This implies that ,

y=2(-1)+4

y=2

The solution is (-1,2)

Answer:

x=-1

Step-by-step explanation:

y=2x+4

y=8x+10

y is = to both so use them together...

2x+4=8x+10

solve...

-2x both sides

4=6x+10

-10 both sides

-6=6x

divide by 6 both sides

x=-1

Answer:

5 vertices

Step-by-step explanation:

4 on the bottom and 1 on the top

Answer:

5

Step-by-step explanation:

12 in. ²

a = bh

a = 2 x 6

a = 12 in. ²

Answer:

12 in. ^2

Step-by-step explanation:

The area of a rectangle can be found by using the formula legnth x width.

Here the legnth is 2 in. and the width is 6 in.

6 x 2 = 12

Whenever you find the area, unit of measurement is ^2, thus resulting in the answer 12 in. ^2

I hope this helps!

Answer:

y = -2x + 16

Step-by-step explanation:

A line perpendicular to y = (1/2)x - 6 would have a slope that is the negative reciprocal of 1/2, that is, a slope of -2.  Here the given point is (h, k):  (6, 4)

Applying the point-slope formula of the straight line,

y - k = m(x - h), where (h, k) is the point, we get:

y - 4 = -2(x - 6), or

y       = 4 - 2x + 12, or      

y   = -2x + 16

Answer:

I think the answer is B which is the one you have selected.

Answer:

I think the answer is B.

the answer is D you’re welcome

Answer:

128

Step-by-step explanation:

Method A.

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

Method B.

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

He right answer is 128

to find the ratio of total students, you would have to add the boys and girls together

136 + 184 = 320 total students at wood middle school

308 + 212 = 520 total students at parker middle school

therefore, the ratio of students at wood middle school to students at parker middle school would be 320:520

ratio simplified) 8:13

Answer:

320:520 or 320 to 520 or 320/520

Step-by-step explanation:

1st step: add the two comparisons of numbers together,

= 136 + 184 = 320

2nd step: do the same with the second set of numbers,

= 308 + 212 = 520

3rd step:

Take both sums or total and put them in ratio form,

= 320 and 520

4th step: Rewrite in ration form (There are many ways of doing this, here are a few:)

320:520 or 320 to 520 or 320/520

Answer: [tex]\frac{2a\sqrt{c}}{3}[/tex]

Step-by-step explanation:

Remember that:

Given the expression [tex]\frac{6(\sqrt{a^3b^2c^4})}{9b\sqrt{ac^3} }[/tex]

You know that:

[tex]a^3=a^2*a\\c^3=c^2*c[/tex]

Then, you must rewrite the expression and simplify:

[tex]\frac{6\sqrt{a^2ab^2c^4}}{9b\sqrt{ac^2c} }=\frac{6abc^2\sqrt{a}}{9bc\sqrt{ac}}=\frac{2ac\sqrt{a}}{3(\sqrt{a})(\sqrt{c})}=\frac{2ac}{3\sqrt{c}}[/tex]

Multiply the numerator and the denominator by [tex]\sqrt{c}[/tex]:

[tex]\frac{(2ac)\sqrt{c})}{(3\sqrt{c})(\sqrt{c})}=\frac{2ac\sqrt{c}}{3(\sqrt{c})^2}=\frac{2ac\sqrt{c}}{3c}=\frac{2a\sqrt{c}}{3}[/tex]

(9,13) would be another point that the line passes through.

Answer: 9/13 C

Step-by-step explanation:

Answer:you need common denominatord 4*2=8 3*2=6 6/8+1/8=7/8 of sugar

Step-by-step explanation:

Answer:2

The second one because it is 108in and the first one is 47.6

Answer:

6 inch x 9 inch rectangular cake pan that is 2 inches deep

Step-by-step explanation:

6x9 is 54 x 2 is 108

the round has a volume of 28