The volume of a box can be found with the function V, where x is the length of the shortest edge of the box: V(x) = x3 + 5x2 – 14x What is the length of the shortest edge of the box if it has a volume of 30 cubic units? +/-

Answer:

9.19 ft

Step-by-step explanation:

Since it's a square, we know that all the sides are equal to 26/4 which equals 6.5. Then, we use the Pythagorean theorem to calculate the diagonal (since the diagonal is splitting the square into two right triangles). So we to a^2+b^2=c^2. So 42.25+42.25=84.5. The square root of 84.5 rounded to the nearest tenth is 9.19

Answer:

Ria earns 14.88 dollars each week

Step-by-step explanation:

Amount earned by peter every week = $12.40

If Ria earns 1.2 times as money per week as Peter, then;

Amount Ria earns = 1.2 * 12.40

Amount Ria earns = 14.88

Hence Ria earns 14.88 dollars each week

the answer is   -2/5 hope this helped

Answer:

y = -2.5x

Step-by-step explanation:

The constant of variation = y/ x = 5/-2 = -2.5

Also -7.5 / 3 = -2.5

-10 /4 = -2.5 and so on

Answer:

Step: Solvex=4for x:

x=4

Step: Substitute4forxin2x+3y=14:

2x+3y=14

(2)(4)+3y=14

3y+8=14(Simplify both sides of the equation)

3y+8+−8=14+−8(Add -8 to both sides)

3y=6

3y

3

=

6

3

(Divide both sides by 3)

y=2

Answer:

x=4 and y=2

Step-by-step explanation:

Answer:

5 h+4.5

Step-by-step explanation:

I did on the test and got it right

Answer:

m= - 1/4

Step-by-step explanation:

Answer:

No its not

4km =4000m < 5000m

Step-by-step explanation:

hope it helps

Answer:

5000 meter>4km

Step-by-step explanation:

4km is= 4000meter so 5000 meters i greater than 4km

Hey there!

Monte will need 9 packages of hot dogs.

To do this, we can first find the LCM.

To do this, first you find the prime factors of 20: 2 x 2 x 5

Then, you find the prime factors of 18: 2 x 3 x 3

Multiply each number by the greatest number it occurs:

2 x 2 x 3 x 3 x 5

And you get the LCM, 180. This means that you can get 180 total hot dogs and 180 total buns.

Then, divide that by the number of hot dogs in a package, to get the number of packages needed: 180/20 = 9

9 packages of hot dogs are needed.

Answer:

720 sq ft

Step-by-step explanation:

Formula:

2 B + P x H

Answer:

720 sq ft

Step-by-step explanation:

fourmula

2b+p×h

Answer:

2/3

Step-by-step explanation:

16/24

4/6

2/3

Answer:

2/3

Step-by-step explanation:

16 ÷ 8 = 2

24 ÷ 8 =3

so the simplest form is 2/3

Answer:

the first one

Step-by-step explanation:

plz brainliest :)

Answer:

the first one

Step-by-step explanation:

Answer:

7/12 7 miles a day

Step-by-step explanation:

A. It will be twice as much as because the height is increased by 2

Hello there! ;)

1 is neither prime nor composite.

Prime numbers have 2 factors.

Composite numbers have 3 or more factors.

However, 1 has 1 factor.

Therefore, it's neither prime nor composite.

Hope this helps!

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

c(0) = 24*0 = 0  

c(8) = 24*8 = 192  

Your range is [0,192]

Step-by-step explanation:

Answer:

You have 8 cups of flour it takes 1 cup of flour to make 24 cookies the function c(f)=24f

c represents the number of cookies

f represents the cups of flour

You have 8 cups of  flour, we can use only 0 to 8 cups of flour.

so domain f is 0 to 8 cups [0,8]

Now we find the range

1 cup of flour to make 24 cookies

So 8 cups of flour = 24* 8 = 192 cookies

using 8 cups you can make 192 cookies

So number of cookies is from 0 to 192

Range is [0,192

Step-by-step explanation:

Answer:

             [tex]\bold{y=\dfrac{\sqrt[3]{\bold x}}x=\bold \big x^{-\frac23} }[/tex]

Step-by-step explanation:

[tex]\log_2x=\dfrac3{\log_{xy}2}\qquad\qquad\qquad\quad x>0\,,\ y>0\\\\\\\log_2x=3\cdot\dfrac1{\log_{xy}2}\\\\\\\log_2x=3\cdo\log_2(xy)\\\\\log_2x=\log_2(xy)^3\quad\iff\quad x=(xy)^3\\\\x=x^3y^3\\\\\dfrac{x}{x^3}=y^3\\\\y=\sqrt[\big3]{\dfrac{x}{x^3}}\\\\y=\dfrac{\sqrt[3]x}x[/tex]

{or:  [tex]\dfrac{x}{x^3}=y^3\quad \implies\quad y=\left(\dfrac{x}{x^3}\right)^\frac13=\left(\big x^{-2}\right)^\frac13=\big x^{-\frac23}[/tex]}

answer : 240

you do 24 x 10 :)

Answer:

The answer is 35

Step-by-step explanation:

It wants to know how many basketball and baseball players there are. If there are 20 basketball players and the ratio is 4:3 then you need to divide the number of basketball players by 4 then multiply by 3. Add 20 to that number and the answer is C

Answer:

35

Step-by-step explanation:

I came up with 35 because 20/4= 5, so we are multiplying players by 5. Similarly, 3x5=15 for baseball players. 20 basketball players plus 15 baseball players is 35. I hope this helps!

Answer:

b

why would you measure with something too big or too small?

Answer:

The perimeter of the pentagon is;

29 units

Step-by-step explanation:

Let A, B, C, D, and E represent the vertices of the pentagon

The "x" and "y" coordinates of the vertices of the pentagon are given as follows;

A(-6, 2), B(-2, -2), C(5, -2), D(5, 2), E(-2, 5)

The length of the sides between each pair of coordinates can be found using the following formula;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Therefore, we have;

Length of segment AB = √((-2 - (2))² + (-2 - (-6))²) = 4·√2

Length of segment BC = √((-2 - (-2))² + (5 - (-2))²) = 7

Length of segment CD = √((5 - 5)² + (2 - (-2))²) = 4

Length of segment DE = √((5 - 2)² + (-2 - 5)²) = √58

Length of segment EA = √((5 - (2))² + (-2 - (-6))²) = 5

The length of the perimeter of the pentagon = 5+√58 + 4 + 7 + 4·√2 ≈ 29.2726273554 ≈ 29

The length of the perimeter of the pentagon ≈ 29.

Answer:

Median is 31, if you are talking about the parallel line in between JK and and ML

Answer:

10

Step-by-step explanation:

To obtain the length of the segment :

a² + b² = c²

a = 8 ; b = 6

8² + 6² = c²

64 + 36 = c²

100 = c²

Square root of both sides :

Sqrt(100) = sqrt(c²)

10 = c

Mistake in the solution is that 6² = 36 and not 12

Answer:

Elimination

Step-by-step explanation:

The following system of equations can be easily solved by elimination as we can simply eliminate x-term.

Substitution will take a lot of time because you need to move to make either x-term or y-term as the subject then substitute in.

Graphing Method — You need to find the intercepts of both equations. You also have to convert into slope-intercept form which takes a lot of time.