David and Ronald both are making cubic gift boxes with varying volume. The side length of David's gift box for a given volume is given by the function below, where (x - 1) is the volume of the box, in cubic feet.



The side length, g(x), of Ronald's gift box for a given volume is shown in the table below, where x is the volume of the box, in cubic feet.

x 2 4 6 10
g(x) 1.26 1.59 1.82 2.15


Whose gift box has the greater side length for a given volume?

Answer:

2³×3²

Step-by-step explanation;

Prime Numbers are numbers which which have only two factors the number itself and one

Examples of Prime Numbers are;

2,3,5,7,11,13,17,19,23,29,etc

To Find The Prime Factorization Of The Number 72 you'll need to follow this;

72=2×36(we have the number 36 because when it's multiplied by 2 the product is 72 and 36 is not a prime number so it has to be broken down but since 2 is a prime number you leave it as it is)

72=2×2×18(we have 2×18 because because it's give us the product of 36 when multiplied so now that we have a second prime number(2) we will have to continue to break down the number 18)

72=2×2×2×9( We again have two another 2 and 9 here because when multiplied by each other its product is 18 so as we can see 9 is not a prime number so we have to break it down but the 2 is a prime number so we let it be)

72=2×2×2×3×3( As we can see here, 3 and 3 is a prime number so nothing happens to it so we have broken the non-prime numbers down so now we have all the numbers as Prime Numbers)

So; 72=2×2×2×3×3

So we are going to count the twos and threes so as you can see we have three twos and we have two threes. Which makes our final answer;

2³×3²

So The Prime Factorization of 72 is; 2³×3²

to work this out you need to solve for your y-intercept. by using what you have.

once you do so you get the answer y=1/2x+3

Answer:

x = 19

Step-by-step explanation:

The sum of both angles will be equal to a supplementary angle. A supplementary angle is when two angles add up to be 180°. Write an equation and solve for x.

3x + 5 + 7x - 15 = 180

~Combine like terms

10x - 10 = 180

~Add 10 to both sides

10x = 190

~Divide 10 to both sides

x = 19

Best of Luck!

Answer:

sorry i didn't find the value of x, but i did find the value of y. if that helps.

Step-by-step explanation:

y=a+5

Answer:7 mins

Step-by-step explanation:

47 minus 19 equals 28 4 times 7 equals 8

Answer:

Step-by-step explanation:

this is a triangle so the sum will be 180

therefore,

50+99+z=180

149+z=180

z=180-149(transposing method)

z=31

hope it helps..mark branliest

Answer

C

Step-by-step explanation:

divide76.5 by 15 because 15 is how many gallons and 76.5 is money divide it you get C

Answer:

-5.7

Step-by-step explanation:

Answer:

-5.4 LOL

Step-by-step explanation:

Answer:

she is correct because if you reflect that over the Y axis

Answer:

2:30 am

Step-by-step explanation:

There is a 2 hour gap in between 8:30 and 10:30 and since they only made 600 jars throughout those 2 hrs you can divide 600 by 2 so you can fins out how many jars they make every hr.

Or you can multiply 600 and 2 to find out how much they make within the next 2 hrs.

600 * 2 = 1200

1200 jars were made at 12:30

1200 * 2 = 1800

1800 jars were made at 2:30

There are two hours between 8:30 A.M. and 10:30 A.M. If they make 600 jars of peanut butter per two hours, then they will make 300 jars per hour. 1800 divided by 6 is 300, so they need six hours to make 1800 jars of peanut butter. So, if they begin production at 8:30 A.M., the factory will have produced 1800 at 4:30 P.M.

Your answer would be 0.6, 3/5, and 6% are the 3 same portion. But, when they're all changed to a decimal they would equal to 0.6.

Triangle is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

The exterior angle is equal to the sum of the interior angles in a given triangle.

The measure of the other remote interior angle is 60°.

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Let the measure of the other interior angle = M

The exterior angle is equal to the sum of the interior angles in a given triangle.

An exterior angle of a triangle has a measure of 80°, and one of the remote interior angles has a measure of 20°.

This means,

M + 20 = 80

Solve for M.

M + 20 = 80

Subtract 20 on both sides.

M = 80 - 20

M = 60

Thus,

The measure of the other remote interior angle is 60°.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

Answer:

68%

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

a third party group in which no naps occur

Answer:

y=2/3x-7

Step-by-step explanation:

The slope intercept formula is

y=mx+b

(m) is the slope (rate of change)

(b) is the y intercept (where the line crosses the y axis [vertical])

We need to find the slope and the y intercept. First we will find the slope.

The formula for slope is y1-y2/x1-x2

In and ordered pair the first value is the (x) and the second is the (y).

(x, y)

We take the (y) of one of the given points and subtract the (y) of the second given point, then divide it by the (x) of one of the given points and the (x) of the other given point.

5-(-1)/8-4

Simplify.

5-(-1) =5+1= 6

8-4=4

6/4 Simplify

3/2 is our slope.

Now we apply out new slope into our y=mx+b

y=3/2x+b

Now we need to find the (b) which is the y intercept.

To do this we need to use one of our given points, you can choose either but for this I'll use (4, -1).

In this ordered pair 4 is the (x) and -1 is the (y)

So replace (y) with -1 and (x) with 4

-1=3/2(4)+b

Now solve as usual.

-1=6+b

subtract 6 from each side

-7=b

b=-7

Put our (m) and (b) into our formula.

y=2/3x-7 is our equation.

Answer:

237600 feet per hour

Step-by-step explanation:

there are 5280 feet in a mile

if he is going 45mph you multiply 45 by 5280

45 x 5280 = 237600

Answer:

Range

The set of output values is called the range of the function.

Answer:

G is not a function

Step-by-step explanation:

Answer:

H.

Step-by-step explanation:

something is represented as a function when none of the inputs (x) repeat, but the outputs (y) change. the graph for letter G has repeating x values, but the y values don't change when an x repeats. however, the graph for letter H has repeating inputs (x), but the outputs are different, even with the same input.

that's why parabolas aren't functions (if you know what those are).

hopefully that helps and isn't too confusing! if you need anything else, let me know! :)

Answer:

C. x = 8

Step-by-step explanation:

We know that x · x · x is equal to 512. We know it cannot be negative because then the 512 would be negative. -2 x -2 x -2 is -8. -2 x -2 is 4. We know it cannot be B x = -6 or D. x = -8.

Let's multiply 6 x 6 x 6.

                           36 x 6 = 216.

Let's multiply 8 x 8 x 8.

                          64 x 8 = 512

The answer would be C. x = 8.

I hope that this helps! :)

Answer:

8

Step-by-step explanation:

x³ = 512

x³ = 8³

Cube root on both sides,

x = 8

Answer:

y= 3/2x+ 360

Step-by-step explanation:

3/2 is the slope

360 is the b (y intercept)

Answer:

slope m = -60

equation y = -60x + 360

Step-by-step explanation:

to find slope use two points given

(x1, y1) = (6, 0)

(x2, y2) = (0, 360)

m = (360-0) / (0-6) = -60

equation y = mx + b

b is the y intercept at (0,360), b= 360

y = -60x + 360

Answer:

The formula for potential energy depends on the force acting on the two objects. For the gravitational force the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity  and h is the height in meters.

Hope this helps

Answer:

physical education

Step-by-step explanation:

p: physical

E: education

Answer:

XY - 9 = XY

Step-by-step explanation:

You need to be careful when you are driving so 3+y is not the answer because 3 means dead in the language of god and y means yo so Its not the answer. Hope it helps

Answer:

4(2a+5)

Step-by-step explanation:

4 times 2a= 8a

4 times 5= 20

Answer:

C

Step-by-step explanation:

Everything else can be simplified to 2/5, except for 9/20

Answer:

9/20 is not equivalent to the others

Step-by-step explanation:

9 is not divisible by 2

Answer:

105 minutes

Step-by-step explanation:

Answer: 35 square centimeters

Step-by-step explanation:

the answer is C

i did the test

Answer:

x is 2 and y is 0

Step-by-step explanation:

Answer:

its 4

Step-by-step explanation:

Answer:

y = -2x + 7

Step-by-step explanation:

We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]

y = -2x + b

7 = -2(0) + b

7 = 0 + b

7 = b

Put everything we know/solved for into the original formula.

y = -2x + 7

Best of Luck!

Answer:

the answer is 3

Step-by-step explanation:

Answer:

a-50% or 1/2

b- 1/13

c. 1/26

Step-by-step explanation:

you count how many aces or black cards, out of the total and make is a fraction.