Mathematics High School

The formula represents the surface area S of a cube with side lengths x.

S=6x^2

Solve for x.

Answers

Answer 1

The solution of  x  is √(S/6).

The formula to find the surface area of a cube with side lengths x is:

S = 6x2

To solve for x:

Divide both sides by 6: S/6 = x2

Take the square root of both sides to isolate x: x = √(S/6)

Related Questions

Expand the logarithmic expression. I will award brainliest.

Answers

[tex]\bf \textit{logarithm of factors}\\\\ log_a(xy)\implies log_a(x)+log_a(y) \\\\\\ \textit{Logarithm of rationals}\\\\ log_a\left( \frac{x}{y}\right)\implies log_a(x)-log_a(y) \\\\\\ \textit{Logarithm of exponentials}\\\\ log_a\left( x^ b \right)\implies b\cdot log_a(x)\\\\ -------------------------------\\\\ log_3\left( \cfrac{2r^5}{y^8} \right)\implies log_3(2r^5)-log(y^8) \\\\\\ \boxed{log_3(2)+log_3(r^5)}-log_3(y^8)\implies log_3(2)+5log_3(r)-8log_3(y)[/tex]

Quadrilateral ABCD is inscribed in this circle.



What is the measure of ∠A ?

Enter your answer in the box.


°

Answers

Answer:

The measure of the ∠A is 59°.  

Step-by-step explanation:

It is given that a quadrilateral ABCD is inscribed in a circle, and from the properties of circle, we know that the sum of the opposite angles of the quadrilateral inscribed in the circle is equal to 180°.

Therefore, ∠A+∠C=180°

⇒[tex]A+121^{\circ}=180^{\circ}[/tex]

⇒[tex]A=180-121[/tex]

⇒[tex]A=59^{\circ}[/tex]

Therefore, the measure of the ∠A is 59°.

Apologies on this being 4 years late, but to anyone else who stumbles across this; answer is 59°

I had taken the test and got it correct

Good luck, and i hope this helps!! :]

What is the value of n? Enter your answer in the box.

Answers

Answer:

n=6

Step-by-step explanation:

Since, we know that  when two chords intersect each other inside a circle, the products of their segments are equal. Thus, using this property, we have

[tex](n+8)5=(n+4)7[/tex]

⇒[tex]5n+40=7n+28[/tex]

⇒[tex]40-28=7n-5n[/tex]

⇒[tex]12=2n[/tex]

⇒[tex]n=6[/tex]

Thus, the value of n is 6.

Answer:

[tex]n=6[/tex]

Step-by-step explanation:

We have been given an image of a circle. We are asked to find the value of n.

We can see that two chords of our given circle are intersecting inside it, so we will use intersecting chords theorem to solve for n.

Intersecting chords theorem states that when two chords of a circle intersect inside the circle, then product of the segments of both chords is equal.

Using intersecting chords theorem we can set an equation as:

[tex]5(n+8)=7(n+4)[/tex]

Using distributive property [tex]a(b+c)=a*b+a*c[/tex] we will get,

[tex]5*n+5*8=7*n+7*4[/tex]

[tex]5n+40=7n+28[/tex]

Subtracting 40 and 7n from both sides we will get,

[tex]5n-7n+40-40=7n-7n+28-40[/tex]

[tex]-2n=-12[/tex]

Dividing both sides by -2 we will get,

[tex]\frac{-2n}{-2}=\frac{-12}{-2}[/tex]

[tex]n=6[/tex]

Therefore, the value of n is 6.

PLS PLS PLS HELP I rly need help in geometry

Answers

check the picture below.

[tex]\bf \cfrac{10x-2}{7x}=\cfrac{8x}{5x+3}\implies (10x-2)(5x+3)=(7x)(8x) \\\\\\ 50x^2-10x+30x-6=56x^2\implies 0=6x^2-20x+6 \\\\\\ 0=3x^2-10x+3\implies 0=(3x-1)(x-3)\implies x= \begin{cases} \frac{1}{3}\\\\ 3 \end{cases}[/tex]

What are the estimated annual wages for a person who earns 10.25 an hour

Answers

Assumed the person worked 8 hours a day
Assumed the person worked 5 days a week
Assumed all other vacation the person takes during the year are paid holiday.

One day:
10.25 x 8 = $82

One week:
$82 x 5 = $410

One year: 
$410 x 52 = $21320 

The average speed of a car is three times as fast as the average speed of a cyclist. to travel 225 km, the cyclist requires 5 h more than the car. determine the average speeds of the cyclist and the car.

Answers

Final answer:

To determine the speeds, we set up relative speed equations and solve for 'x'. The cyclist's average speed is 15 km/h and the car's average speed is 45 km/h.

Explanation:

Let's denote the cyclist's speed as 'x' km/h and the car's speed as '3x' km/h (since it's three times the cyclist's speed).

Given that speed is distance over time, we can set up the following equations:

For the cyclist: 225km / x = time, and for the car: 225km / 3x = time - 5.

By equating these two expressions, we get: 225/x = 225/3x + 5.

Solving this equation for 'x', we get x = 15. Thus, the average speed of the cyclist is 15 km/h and the car (3x) is 45 km/h.

Learn more about average speed here:

https://brainly.com/question/12322912

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The area of a square is greater than the area of the circle by 12 cm². find the length of the side of a square if the area of the circle is 36 cm².

Answers

Area of the square: 36 cm^2 + 12cm^2
                     48cm^2

area of a square: side x side
48cm^2=side1^2 (sides of squares are all equal, so the same length is being multiplied by itself)

√ 48 cm^2

one side: 
4√ 3 cm, or approximately 6.93cm

Final answer:

To find the length of a side of the square, calculate the square root of the sum of the areas of the circle (36 cm²) and the additional 12 cm². This results in a square side length of approximately 6.93 cm.

Explanation:

We are given that the area of the circle is 36 cm², and we know that the area of a square is greater than the area of the circle by 12 cm², which means the area of the square is 36 cm² + 12 cm² = 48 cm².

The area of a square is given by A = a², where a is the length of the side of the square. So, we need to find the value of a that satisfies the equation a² = 48 cm².

By taking the square root of both sides of the equation, we get a = √(48 cm²). Simplifying the square root of 48 gives us a ≈ 6.93 cm. Therefore, the length of a side of the square is approximately 6.93 cm.

PLEASE HELP NOW 1 QUESTION FOR 25 POINTS
Points C and D are equidistant from point A. Complete the following table to prove that AEC ≅ AED.

Answers

E is the midpoint of the line AD, therefore AE = DE (S)
E is the midpoint of the line BC, therefore EC = EB (S)
∠AEC = ∠DEB (Vertically opposite angles) (A)

by SAS,
ΔAEC ≡ΔDEB

The measurement of one angle of a right triangle is 34°.

What is the measurement of the third angle?

Enter your answer in the box.

Answers

The third angle is 56 degrees because it is a right triangle, so the three angles will add up to 180 degrees.  Since it is a right triangle, you know one angle is 90 degrees.  All you have to do is add 90 and 34, and then subtract that from 180 to get your third angle.

Final answer:

The third angle of the right triangle is calculated by subtracting the sum of the known right angle (90°) and the given angle (34°) from the total sum of angles in a triangle (180°), which equals 56°.

Explanation:

To find the measurement of the third angle in a right triangle where one of the angles is 34°, we use the fact that the sum of the angles in any triangle is 180°. Since one angle is 34° and another is by definition 90° in a right triangle, we can subtract these two angles from 180° to find the third angle:

Sum of angles in a triangle = 180°

Two known angles: 90° (right angle) + 34° = 124°

Third angle = 180° - 124° = 56°

Therefore, the measurement of the third angle is 56°.

Math help!!!!!!!!!!!!!!

Answers

The answer is the 5th one

40,059 ; 40,095 ; 40.509 ; and 40,905

Answer:

The answer is E

Step-by-step explanation:

-22+0.3z=3-0.5z-0.8z

Answers

isolate the variables. z= 15.625
-25 + 0.3z = -1.3z
-25 = -1.6z
1.6z = 25
z = 15.625

Hope this helps!

The feel better spa has two specials for new members. They can receive 3 facials and 5 manicures for $114 or 3 facials and 2 manicures for $78

Answers

Add them and then you will get your answer

Dan has already delivered 48 donuts today. For the next few hours, Dan will deliver 60 donuts per hour. Match the number of donuts Dan will have delivered after a given number of hours to the corresponding recursive function. Tiles number of donuts delivered 2 hours from now number of donuts delivered 7 hours from now number of donuts delivered n hours from now number of donuts delivered 6 hours from now Pairs next = now + 6 × 60, starting at 48 arrowBoth next = now + 60 + 60, starting at 48 arrowBoth next = now + 420, starting at 48 arrowBoth next = now + 60n, starting at 48 arrowBoth

Answers

A.number of donuts delivered 2 hours from now.
2. Next=now +60+60
starting at 48                      because 2 hours meant  2*60 = 60+60

B. number of donuts delivered 7 hours from now C
3.Next= now +420
starting at 48                     because 7 hours meant  7*60 = 420 mn

C.number of donuts delivered n hours from now.
4. Next=now+60n
starting at 48            (this is obvious)

so finally, 
 D. number of donuts delivered 6 hours from now.
1. Next= now+ 6*60
starting at 48                

Answer:

A.number of donuts delivered 2 hours from now.

2. Next=now +60+60

starting at 48                      because 2 hours meant  2*60 = 60+60

B. number of donuts delivered 7 hours from now C

3.Next= now +420

starting at 48                     because 7 hours meant  7*60 = 420 mn

C.number of donuts delivered n hours from now.

4. Next=now+60n

starting at 48            (this is obvious)

so finally,

D. number of donuts delivered 6 hours from now.

1. Next= now+ 6*60

starting at 48    

Step-by-step explanation:

Natalie picked 135 berries in 15 minutes if she continues picking at that rate how long will it take her to pick 486 berries? @skullpatrol,

Answers

it will take her 54 minutes. divide 486 by 135, and then multiply that answer by 15.

Two wheels rolled simultaneously. The radius of the smaller wheel is r feet and the radius of the larger wheel is 2r feet If both wheels did a total of 4 rotations, how much farther did the larger wheel travel?

Answers

The smaller wheel rolled
.. 4*2πr = 8πr . . . . feet

The larger wheel rolled
.. 4*2π*2r = 16πr . . feet

The larger wheel traveled (16πr -8πr) = 8πr feet farther than the small wheel.

if x-15=7-5(x-4) then x=?
0
5
4
2
7

Answers

Distribute parenthesis. -5x and 20. Add 5x to x and you get 6x. 20+7=27 27+15=42. 42÷6=7. The answers 7.

Choose the correct product of (6x − 2)(6x + 2). (1 point)
Choose the correct product of (6x − 2)(6x + 2). (1 point)

Answers

You did not give any choices but this can easily be solved using the FOIL method. 

FOIL stands for First, Outside, Inside, Last. 

In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter 

First: Means first terms of each set. In this case 6x and 6x
6x x 6x = [tex] 36x^{2} [/tex] Now you have your first term in the sequence.

Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term

Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term

Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4  This is your last term

Now you have what you need for your new equation:

[tex] 36x^{2} + 12x -12x - 4 [/tex]

Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:

[tex]36 x^{2} - 4 [/tex] This is your product

If you can't see the images here

36x2 − 4

What is the common difference in the arithmetic sequence -4x,-x,2x,5x,8x,... ?

Answers

The common difference can be found out, by simply taking any 2 terms and subtracting the larger one from the smaller one. In this it would be 3.

WILL GIVE BRAINLIEST FOR CORRECT ANSWER!

How is energy transferred during the water cycle
A. water gains energy during evaporation and condensation
B. water gains energy in condensation and releases it in evaporation
C. water releases energy during evaporation and condensation
D. water gains energy during evaporation and releases it during condensation

Answers

Heya friend !!

During water cycle , Water in liquid state absorbs tremendous amounts of incoming solar energy causing it to evaporate and it is released back in the atmosphere while the formation of clouds during Condensation .

Hence , We got our answer as D.

Hope it helps you :)

what is the volume of a spear with the radius of 6in.

Answers

905.14 cubic inches should be it

y = x – 6
x = –4
What is the solution to the system of equations?

(–8, –4)
(–4, –8)
(–4, 4)
(4, –4)

Answers

(4, -4) Glad i could help!

the answer is (-4 -8)

Which of the following is true regarding the solution to the logarithmic equation below?

Answers

Answer:

Option C. is the correct option.

Step-by-step explanation:

The given expression is [tex]log_{2}(x+11)=4[/tex]

We further solve this

[tex](x+11)=2^{4}=16[/tex]

[tex]x = 16-11=5[/tex]

Now we evaluate the options

A). [tex]log_{5}16\neq 2[/tex]

But the expression is given as [tex]log_{2}(x+11)=4[/tex]

Wrong expression so not correct.

B). [tex]log_{5}16\neq 4[/tex]

Wrong expression again so not correct

C). By putting x = 5 in the expression

[tex]log_{2}(x+11)=4[/tex]

[tex]log_{2}(5+11)=log_{2}(16)=log_{2}(2^{4})=4[/tex]

Therefore this option is the correct option.

D). By putting x = 5 in the expression

[tex]log_{4}(5+11)=log_{4}(16)=log_{4}(4^{2})=2[/tex]

But the expression is [tex]log_{2}(x+11)=4[/tex]

So this option is also not correct.

Answer:

c

Step-by-step explanation:

Jason can paint a room in 6 hours. Lorissa can paint a room in only 3 hours. Which of the following can be used to determine the amount of time it would take for Jason and Lorissa to paint a room together?

a-1 over 6 plus 1 over 3 equals 1 over x
b-1 over x plus 1 over 3 equals 1 over 6
c-1 over 6 plus 1 over x equals 1 over 3
d-1 over 3 plus 1 over 6 equals x over 9

Answers

at least u should tell me wt is x, so that i can help u
The Answer is A. 1/6+1/3=1/x 


a school district requires all graduating seniors to take a mathematics test. This year, the rest scores were approximately normally distributed for the 1208 graduating seniors. This mean score on the test was a 74 and the standard deviation was 11. what percent of the graduating seniors had a test above 85? Express your answers to the nearest percent.

Answers

A score of 85 would be 1 standard deviation from the mean, 74.  Using the 68-95-99.7 rule, we know that 68% of normally distributed data falls within 1 standard deviation of the mean.  This means that 100%-68% = 32% of the data is either higher or lower.  32/2 = 16% of the data will be higher than 1 standard deviation from the mean and 16% of the data will be lower than 1 standard deviation from the mean.  This means that 16% of the graduating seniors should have a score above 85%.

Based on the mean score of the test, the percentage of students who scored above 85% in the test was 16%.

Which students scored above 85 in the test?

Based on the fact that this distribution is normally distributed, the percentage of students that scored higher or lower than 85% within 1 standard deviation is:

= 100% - 68%

= 32%

The number of students who scored above 85% would therefore be:

= 32% / 2

= 16%

Find out more on normal distributions at https://brainly.com/question/23418254.

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natalie guessed on the last four true or false questions on her math quiz. what is the probability that she got all four quiz questions correct?

Answers

each question is either true or false, so the sample space is 2, true and false, two states only.

what's the probability she got one correct, well, the favorable outcomes is 1, possible outcomes is 2, so 1/2.

what's the probability that she got all four correct, we simply multiply the probability of each,


[tex]\bf \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\implies \cfrac{1}{16}\implies 0.0625\qquad or\qquad 6.25\%[/tex]

The probability that Natalie got all four quiz questions correct after guessing would be 6. 25 %.

How to find the probability ?

If Natalie guessed on the last four true or false questions, there are two possible outcomes for each question (correct or incorrect), and she has a 50% chance of guessing correctly for each question since there are only two options.

To find the probability that she got all four quiz questions correct, you can multiply the probabilities for each question:

Probability of guessing a question correctly = 0.5 (since there are 2 options, and she has a 50% chance of guessing correctly)

Probability of getting all four questions correct = (0.5) * (0.5) * (0.5) * (0.5)

= 0.0625

Find out more on probability at https://brainly.com/question/31109387

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Please find the domain and range of this equation: y=3 (x-2)^2+5

Answers

we have
y=3(x-2)^2+5

using a graph tool
see the attached figure

the domain is (-∞,∞)
the range is [5,∞)

Clark left for school at 7:43 am he git to school 36 minutes later.what time. Did clark get to school???

Answers

Clark got to school at 8:19 am.

Hope this helps :)
Hey there! :D

There are 60 minutes in an hour. 

43+36= 79

That is 1 hour and 19 minutes. 

7+1= 8

8:19 is the time Clark got to school. 

I hope this helps!
~kaikers

$1200.00 is deposited into an account that earns 6.5% interest, which is compounded four times per year. How much money will be in the account after 6 years?

Answers

[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}\to &\$1200\\ r=rate\to 6.5\%\to \frac{6.5}{100}\to &0.065\\ n= \begin{array}{llll} \textit{times it compounds per year} \end{array}\to &4\\ t=years\to &6 \end{cases} \\\\\\ A=1200\left(1+\frac{0.065}{4}\right)^{4\cdot 6}\implies A=1200(1.01625)^{24}[/tex]

Using the definition of even and odd functions explain why y= sin x+ 1 is neither even or odd ?
Can you show how you worked it out cause I'm not sure on how to plug it in exactly

Answers

A function is even if, for each x in the domain of f, f (- x) = f (x).
 The even functions have reflective symmetry through the y-axis.
 A function is odd if, for each x in the domain of f, f (- x) = - f (x).
 The odd functions have rotational symmetry of 180º with respect to the origin.

 For y = without x + 1 we have:
 Let's see if it's even: 
 f (-x) = sin (-x) + 1
 f (-x) = -sin (x) + 1
 It is NOT even because it does not meet f (- x) = f (x)
 Let's see if it's odd: 
 f (-x) = sin (-x) + 1
 f (-x) = -sin (x) + 1
 It is NOT odd because it does not comply with f (- x) = - f (x)
 Answer:
 It is not even and it is not odd.

The fish population in a lake decreases by 20% each year. What is the common ratio?

Answers

the answer to this problem is 0.98
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