An open-top box is being designed by cutting a corner piece out of a 16" by 14" piece of metal and folding the sides upwards. The designer wants to maximize the volume of this box. Enter the maximum volume of this box (rounded to the nearest cubic inch). in3

Answer:

Step-by-step explanation:

Just multipley 42 by 7

Answer:

4.3 gallons per day

Step-by-step explanation:

23 fl oz converted to gallons is 0.179688

0.179688 x 24 = 4.312512 and i rounded it to the nearest tenth

Answer:

5

Step-by-step explanation:

The problem is:

3 x 5 = 15

15 + 4 = 19

Answer:

z = 2

Step-by-step explanation:

Answer:

z=2

Step-by-step explanation:

8(3-z)=4z

multiply 8 by 3 and 8 by -z

24-8z=4z

subtract 24 from both sides

-8z=4z-24

subtract 4z from both sides

-12z=-24

divide both sides by -12

z=2

Answer:

B

Step-by-step explanation:

2x – y = (3/4)x + 6.

or, 2x - (3/4)x = y + 6.

or, (8x -3x)/4 = y + 6.

or, 5x/4 = y + 6.

or, 5x = 4(y + 6).

or, 5x = 4y + 24.

or, x = (4y + 24)/5.

Therefore, x = 4(y + 6)/5.

Answer:

[tex]l= \frac{A}{2h} -w[/tex]

Step-by-step explanation:

The question is not correct (particularly the expression for the area)

 A=2lh+2wh

Now we are expected to solve for l, that is we are going to make l subject of the formula, we have

let us take the second term on the RHS to the LHS

[tex]A-2wh= 2lh[/tex]

we can now divide both sides by 2h we have

[tex]\frac{A-2wh}{2h} = l\\\\l=\frac{A}{2h} -\frac{2wh}{2h} \\\\l= \frac{A}{2h} -w[/tex]

hence the expression for the length is  [tex]l= \frac{A}{2h} -w[/tex]

Answer:

2 hours

Step-by-step explanation:

Not needed

Answer:

[tex]Changes = -\$9[/tex]

Step-by-step explanation:

Given

[tex]Cracker = \$7[/tex]

[tex]Parrot = \$2[/tex]

Required

Determine the changes in the account

First, we need to determine the total amount spent;

[tex]Total = Cracker + Parrot[/tex]

[tex]Total = \$7 + \$2[/tex]

[tex]Total = \$9[/tex]

Hence, the changes in her account is a debit of $9 i.e. -$9

Answer:

10 hours

Step-by-step explanation:

It is given that,

Standard working day is 8 hours

If you were to work 125% of a normal day, then it means that,

[tex]125\%\ \text{of}\ 8\ \text{hours}\\\\=\dfrac{125}{100}\times 8\\\\=10\ \text{hours}[/tex]

Hence, you will work for 10 hours.

Given :

Initial velocity , u = 15 m/s .

Final velocity , v = 30 m/s .

Distance travelled , d = 40 m .

Also , this body is uniformly accelerating .

To Find :

(a) What is the acceleration .

(b) How long does this take .

Solution :

Let , acceleration be a .

By , equation of motion :

[tex]v^2-u^2=2ad\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{30^2-15^2}{2\times 40}\\\\a=8.44\ m/s^2[/tex]

Also , by equation :

[tex]v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{30-15}{8.44}\ s\\\\t=1.78\ s[/tex]

Hence , this is the required solution .

Answer:

1/2 ( 4h + 8 ) = 3h + 6

2h + 4 = 3h + 6

2h - 3h = 6 - 4

- h = 2

h = -2

I hope this helped. Let me know if it did. Can you mark me brainliest? Please.

Answer:

9

Step-by-step explanation:

first integer = x

second integer = x+2

third integer = x+4

8x=3(x+2+x+4)-4

8x=3(2x+6)-4

8x=6x+18-4

8x=6x+14

2x=14

x=7

second integer=7+2=9

Answer:

a) Here we have:

"In Family A, the youngest child is 7 years younger than the oldest, who is 18"

Let's define:

Y = age of the youngest child.

O = age of the oldest child.

Then we know that:

Y = O - 7

O = 18

Then we can replace the second equation into the first one:

Y = 18 - 7 = 11.

b) Here we have:

"In Family B, the middle child is 5 years older than the youngest child."

Let's define:

Y = age of the youngest child.

M = age of the middle child.

Here we have only one equation:

M = Y + 5.

Answer:

your answer is....

Step-by-step explanation:M = Y + 5.

Answer: 76 degrees

Step-by-step explanation:

m<abc = m<1 + m<2

4x+12=(2x-7)+(3x-4)

x=23

180=4x+12+m<3

m<3=76

Answer:

The area of a rectangle is a natural number, an integer and a rational number.

Step-by-step explanation:

The area of a rectangle is a member of the following three subsets of real numbers:

(i) Natural numbers ([tex]\mathbb{N}[/tex]) - The area of the rectangle has no decimal parts and is positive.

(ii) Integer ([tex]\mathbb{Z}[/tex]) - The area of the rectangle has no decimal parts.

(iii) Rational numbers ([tex]\mathbb{Q}[/tex]) - The area of the rectangle can be obtained by dividing a natural number by other natural number. For instance:

[tex]\frac{36}{2} = 18[/tex]

In a nutshell, the area of a rectangle is a natural number, an integer and a rational number.

Answer:

−2.5<x<2.5

Step-by-step explanation:

Let's find the critical points of the inequality.

4x2−25=0

4x2−25+25=0+25(Add 25 to both sides)

4x2=25

4x24=25/4(Divide both sides by 4)

x2=25/4

x=±√254(Take square root)

x=2.5,−2.5

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<−2.5(Doesn't work in original inequality)

−2.5<x<2.5(Works in original inequality)

x>2.5(Doesn't work in original inequality)

Answer:

140 and 142?

Step-by-step explanation:

Answer:

  linear

Step-by-step explanation:

First differences of the y-values for the consecutive x-values are ...

  -3 -(-4.5) = 1.5

  -1.5 -(-3) = 1.5

  0 -(-1.5) = 1.5

  1.5 -0 = 1.5

The first differences are constant, so the function is linear.

__

Since we know the function is linear, there's no real point in computing the ratios of successive outputs. In any event, we know it is not constant. The ratio with 0 as a numerator will be 0; the ratio with 0 as a denominator will be undefined.

the answer is -3 hope this helps

Answer:

A. √61

Step-by-step explanation:

Answer:

D. 3

Step-by-step explanation:

Assuming the model represents an equation, the following can be deduced:

On the left side of the equation, the model shows we have 3 "x's", and 6 "1's". Let this represent:

3x + 6

On the right side of the equation, we have 2 "x's" and 9 "1's". Let this represent:

2x + 9.

The model would represent the equation below:

[tex] 3x + 6 = 2x + 9 [/tex]

Solve for x

[tex] 3x + 6 - 2x = 2x + 9 - 2x [/tex] (Subtracting 2x from both sides of the equation)

[tex] x + 6 = 9 [/tex]

[tex] x + 6 - 6 = 9 - 6 [/tex] (subtracting 6 from both sides of the equation)

[tex] x = 3 [/tex]

Answer:

[tex]comp_ab=\left(\dfrac{-5}{7}\right)[/tex]

[tex]Proj_ab=\left<\dfrac{15}{49},\dfrac{30}{49},\dfrac{-10}{49}\right>[/tex].

Step-by-step explanation:

The given vectors are

[tex]\vec{a}=<-3,-6,2>,\vec{b}=<1,1,2>[/tex]

Now,

[tex]|\vec{a}|=\sqrt{(-3)^2+(-6)^2+(2)^2}[/tex]

[tex]|\vec{a}|=\sqrt{9+36+4}[/tex]

[tex]|\vec{a}|=\sqrt{49}[/tex]

[tex]|\vec{a}|=7[/tex]

[tex]\vec{a}\cdot \vec{b}=(-3)(1)+(-6)(1)+(2)(2)[/tex]

[tex]\vec{a}\cdot \vec{b}=-3-6+4[/tex]

[tex]\vec{a}\cdot \vec{b}=-5[/tex]

The scalar projection of b onto a is

[tex]comp_ab=\left(\dfrac{\vec{a}\cdot \vec{b}}{|\vec{a}|}\right)[/tex]

[tex]comp_ab=\left(\dfrac{-5}{7}\right)[/tex]

Vector projection of b onto a is

[tex]Proj_ab=\left(\dfrac{\vec{a}\cdot \vec{b}}{|\vec{a}|}\right)\left(\dfrac{\vec{a}}{|\vec {a}|}\right)[/tex]

[tex]Proj_ab=\left(\dfrac{-5}{7}\right)\left(\dfrac{<-3,-6,2>}{7}\right)[/tex]

[tex]Proj_ab=\left<\dfrac{15}{49},\dfrac{30}{49},\dfrac{-10}{49}\right>[/tex]

Therefore, scale and vector projections of b onto a are [tex]comp_ab=\left(\dfrac{-5}{7}\right)[/tex] and  [tex]Proj_ab=\left<\dfrac{15}{49},\dfrac{30}{49},\dfrac{-10}{49}\right>[/tex] receptively.

Answer:

30cm

Step-by-step explanation:

2w+2L=Perimeter of rectangle

2w+2*16=92

2w+32=92

2w=92-32

2w=60

w=30

check : 16 +16 +30 +30 =92cm

Answer:

9

Step-by-step explanation:

substitute the x which is x= 2, so

f(2)= (2+1)^2

=(3)^2

=9

The value of f(2) if f(x) = (x+1)² is 9.

A function from set X to set Y is created by assigning an element from set Y to each element in set X.
The function's domain and codomain are respectively referred to as the sets X and Y and considered as a whole.

A function, its domain, and its codomain are denoted by the notation  f:X→Y.  

The image of x under f or the value of f applied to the input x are terms used to describe the value of a function at an element x of X, indicated by the notation f(x).

The functions can also be referred to as maps or mappings.

In this question;

Given function is f(x) = (x+1)²

We have to find the value of f(2) that means we have to put 2 in the place of x in f(x)

Thus,

⇒f(x) = (x+1)²

⇒f(2)= (2+1)²

⇒f(2)= 3²

⇒f(2) = 9

Hence, the value of f(2) if f(x) = (x+1)² is 9.

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Answer:

0.0063

Hope this helps

Plz mark brainliest

Answer:

0.0063

Step-by-step explanation:

move the decimal 2 places to the left

Answer:

The answer is 39, 40, and 41

Step-by-step explanation:

You would use the equation x+x+1+x+2=120 to substitute for the ages. x would represent the youngest, then you would add a year to get the middle child (since it is consecutive numbers) then you would add 2 to get the oldest.  And when you get the answer to the equation (which is 39) that is only the age of the youngest (since you solve only for x and that represents the youngest child's age), so you have to add 1 and 2 to the answer to get the ages of the other two.

Hope this helped :)

Edna = 39 years

Ellie = 40 years

Elsa = 41 years

Edna = n

Ellie = n + 1

Elsa = Ellie + 1 = (n + 1) + 1 = n + 2

Edna + Ellie + Elsa = 120

replace

n + (n + 1) + (n + 2) = 120

3n + 3 = 120

3n = 120 - 3

3n = 117

n = 117 : 3

n = 39

Edna = n = 39 years

Ellie = n + 1 = 39 + 1 = 40 years

Elsa = n + 2 = 39 + 2 = 41 years

im pretty sure this is false they can run fro 30 seconds not 20

Answer:

A cheetah can run at top speed for only about 20 seconds. If an antelope is too far away for a cheetah to catch it in 20 seconds, the antelope is probably safe. Your friend claims an antelope running 60 feet per second will not be safe if the cheetah running at 90 feet per second is 650 feet behind it.

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