A manufacturer wants to construct a box whose base length is 4 times the base width. The material to build the top and bottom cost 8 dollars per ft.2 and sides 5 dollars per ft.2. If the box must have a volume of 72 ft.3, determine the dimensions that will minimize cost.

Answer:

18 gallons of water in the aquarium

Answer: 9.5 cm

Step-by-step explanation:

First we have to find the perimeter of rectangle A:

Formula for perimeter of a rectangle or square is: [tex]2(a+b)[/tex]

Putting the length and width in: [tex]2(7.4+4.8)[/tex]

Solve it to get: 24.4 cm

Subtract 14.9 from 24.4 to get 9.5 cm

Answer:

Triangle A is congruent to triangle G

Triangle D is congruent to triangle C

Answer:

Triangle A is congruent to Triangle G

Triangle D is cingruent to Triangle C

Step-by-step explanation:

9514 1404 393

Answer:

  $13.20

Step-by-step explanation:

Working h hours and earning t in tips, your earnings (e) are ...

  e = 5.25h +t

Solving for t, we get ...

  t = e - 5.25h

Filling in the given values, we have ...

  t = 34.20 -5.25(4) = 34.20 -21.00 = 13.20

You made $13.20 in tips that evening.

Answer:

Learn your timetables daily.

Step-by-step explanation:

You can find songs online to help you memorize and understand them in the simplest form.

Answer:

you should practice your timetables and do some math practice so you could understand other math like division.

Step-by-step explanation:

Answer:

Option (b) is correct.

The expression is equivalent, but the term is not completely factored.

Step-by-step explanation:

edge 2020

Answer:

dk

Step-by-step explanation:

d

Answer:

so The answer would be the last one, I did the math, difficult stuff here gem lol, i almost got stumped O.O

Step-by-step explanation:

the answer that you have chosen was wrong  but the answer that the upper number that has to be divided by x+6 leaving only 1 answer left that involves addition in the denomonatior

Answer:

D' = ( -3, -2)

Step-by-step explanation:

Rate me branliest please :)

Answer:

r^11

Step-by-step explanation:

Answer:(9,-3)

Step-by-step explanation:

You just have to flip the numbers

Answer:

HB = 13

Step-by-step explanation:

In triangle GHJ, points A, B, C are mid points of the sides GH, HJ, GJ respectively.

Therefore by Mid-segment Theorem.

[tex]AC = \frac{1}{2} HJ \\ \\ 3y - 5 = \frac{1}{2} (4y + 2) \\ \\ 3y - 5 = \frac{1}{2} \times 2 (2y + 1) \\ \\ 3y - 5 = 2y + 1\\ \\ 3y - 2y = 5 + 1 \\ \\ y = 6 \\ \\ HJ = 4y + 2 \\ \\ HJ = 4 \times 6 + 2 \\ \\ HJ = 24 + 2 \\ \\ HJ = 26 \\ \\ HB= \frac{1}{2} HJ \\ \\ HB= \frac{1}{2} \times 26 \\ \\ \huge \red{ \boxed{ HB= 13}}[/tex]

Answer:

C

Step-by-step explanation:

your y values which produce the range differ between 2 and 10 which means that will be your range. All of the values are real.

Answer:

1.7

Step-by-step explanation:

You can just use a calculator to make the work easier.

Answer:

A altura máxima é 5

Step-by-step explanation:

Matematicamente, a altura máxima pode ser obtida

A altura máxima é simplesmente o vértice da parábola

Começamos diferenciando a função Isso será -8x

Agora, defina -8x como 0

Isso significa que x = 0

Agora, substitua x = 0 de volta na equação temos

f (0) = -4 (0) ^ 2 + 5

f (0) = 5

A altura máxima é 5

Answer:

The 38th term of 459,450,441,.. will be:

[tex]a_{13}=351[/tex]

Step-by-step explanation:

Given the sequence

[tex]459,450,441,..[/tex]

An arithmetic sequence has a constant difference 'd' and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

[tex]450-459=-9,\:\quad \:441-450=-9[/tex]

so

[tex]d=-9[/tex]

The first element of the sequence is

[tex]a_1=459[/tex]

so the nth term will be

[tex]a_n=-9\left(n-1\right)+459[/tex]

[tex]a_n=-9n+468[/tex]

Putting n=38 to find the 38th term

[tex]a_n=-9n+468[/tex]

[tex]a_{13}=-9\left(13\right)+468[/tex]

[tex]a_{13}=-117+468[/tex]

[tex]a_{13}=351[/tex]

Therefore, the 38th term of 459,450,441,.. will be:

[tex]a_{13}=351[/tex]

Answer: I just took the test and the answer is Student should show that the solution to the system of equations 7x - y = 4 and 2x - 3y = 1 is the same as the solution to the given system of equations.

Step-by-step explanation:

The solution for the given system of linear equations is (32/69, -10/23).

The given system of equations are 3x-6y=4 and 6x+11y=-2.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here,

3x-6y=4 ---------(I) and 6x+11y=-2 ---------(II)

Multiply equation (I) by 2, we get

6x-12y=8 ---------(III)

Subtract equation (III) from (II), we get

6x+11y-(6x-12y)=-2-8

⇒ 23y=-10

⇒ y=-10/23

Substitute y=-10/23 in (I), we get

3x-6(-10/23)=4

⇒ 3x+60/23=4

⇒ 3x=4-60/23

⇒ x=32/69

So, solution is (32/69, -10/23)

Therefore, the solution for the given system of linear equations is (32/69, -10/23).

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ2

Answer:

For the function: [tex]g(x)=-x^2-3x+5[/tex], the average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex] is 2

Step-by-step explanation:

We are given function: [tex]g(x)=-x^2-3x+5[/tex], we need to find average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex]

The formula used is: [tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}[/tex]

We have b=2 and a= -7

Finding f(b) and f(a)

Finding g(b) by putting x=2

[tex]g(x)=-x^2-3x+5\\g(2)=-(2)^2-3(2)+5\\g(2)=-4-6+5\\g(2)=-10+5\\g(2)=-5[/tex]

Finding g(a) by putting x=-7

[tex]g(x)=-x^2-3x+5\\g(-7)=-(-7)^2-3(-7)+5\\g(-7)=-49+21+5\\g(-7)=-23[/tex]

Now, finding average rate of change when g(b)=-5 and g(a)=-23

[tex]Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{-5-(-23)}{2-(-7)}\\Average \ rate \ of \ change=\frac{-5+23}{2+7}\\Average \ rate \ of \ change=\frac{18}{9}\\Average \ rate \ of \ change=2[/tex]

So, Average rate of change = 2

Therefore for the function: [tex]g(x)=-x^2-3x+5[/tex], the average rate of change of function over the interval [tex]-7\leq x\leq 2[/tex] is 2

Answer:

Step-by-step explanation:

a. Yes is proportional with the cost because they depend on one another

b. (0,0) means if we buy 0 cookies we pay $0

c. (1, 0.50) means that if we buy 1 cookie we have to pay $0.50

d. the unit rate is how much we pay for one cookie so is $0.50 per 1 cookie

45 mins

Step-by-step explanation:

A quarter of an hour is 15 mins. If jasper walks 1/2 a mile in 15 mins then in 1.5 miles is 3 times that. 15x3 is 45.

Answer:

8x -16y = 24

Step-by-step explanation:

8x - 16y= -14

A parallel line (i.e. same slope) will be: 8x - 16y= c

We have to find the value of "c".

If it passes through (x, y) = (3, 0) ⇒ 24 - 0 =  c,

so equation is 8x -16y = 24

Answer:

graph your y intercept at negative 8 and then continue to go up one right one

Answer:

go down 8 then go up one over one the rest of the way. go to desmos to answer all your graphing questions.

Step-by-step explanation:

brainliest pls

Answer:

A and C

Step-by-step explanation:

Answer:

y = 5/2x + 5

General Formulas and Concepts:

Pre-Algebra

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Slope m = 5/2

Point (-4, -5)

Step 2: Find y-intercept b

Step 3: Write linear equation

y = 5/2x + 5

Answer:

Slope of f(x) is greater than slope of g(x)

g(x) has a greater y intercept

Step-by-step explanation:

Given

f(x) table

[tex]g(x) = 2x + 6[/tex]

Solving (a):

First, we determine the slope of f(x).

From the table, we take any two corresponding values of x and f(x).

Represent f(x) with y

[tex](x_1,y_1) = (-1.-12)[/tex]

[tex](x_2,y_2) = (0.-6)[/tex]

The slope (m) is calculated as thus

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-6 - (-12)}{0 - (-1)}[/tex]

[tex]m = \frac{-6 +12}{0 +1}[/tex]

[tex]m = \frac{6}{1}[/tex]

[tex]m = 6[/tex]

Represent this with m1

[tex]m_1 = 6[/tex]

Calculating the slope of g(x).

The general form of an equation is [tex]y = mx + b[/tex]

Where m represents the slope.

We have that:

[tex]g(x) = 2x + 6[/tex]

By comparing  [tex]g(x) = 2x + 6[/tex] with [tex]y = mx + b[/tex]

[tex]m = 2[/tex]

Represent this with m2

[tex]m_2 = 2[/tex]

Comparing both slope, we can say that:

f(x) has a greater than slope of g(x)

Another comparison is that:

Slope of f(x) is 3 times the slope of g(x)

Solving (b): Function with greater y intercept.

The general form of an equation is [tex]y = mx + b[/tex]

Where b represents the y intercept.

First, we need to determine the equation of f(x) using:

[tex]y - y_1 = m(x - x_1)[/tex]

Recall that, from the table of f(x):

[tex](x_1,y_1) = (-1.-12)[/tex]

[tex](x_2,y_2) = (0.-6)[/tex]

[tex]m_1 = 6[/tex]

So:

[tex]y - y_1 = m(x - x_1)[/tex]

[tex]y - (-12) = 6(x - (-1))[/tex]

[tex]y + 12 = 6(x +1)[/tex]

[tex]y + 12 = 6x +6[/tex]

Solve for y

[tex]y = 6x + 6 - 12[/tex]

[tex]y = 6x - 6[/tex]

By comparing this with [tex]y = mx + b[/tex], the y intercept of f(x) is -6

For g(x), we have:

[tex]g(x) = 2x + 6[/tex]

By comparing this with [tex]y = mx + b[/tex], the y intercept of g(x) is 6

Comparing the y intercepts of both functions, g(x) has a greater y intercept because [tex]6 > -6[/tex]