John builds a wooden box. ∙ The box is 3 feet long. ∙ The height is half the width. ∙ The volume is 4 times the width. Which equation can be used to find the width, w , of the box?

Answer:

O1: b) linear, proportional

O2: a) linear, non-proportional

O3: c) nonlinear

Step-by-step explanation:

Recall that a proportional function can be drawn as a straight line (linear function) through the origin (0,0).

O1 is a proportional function since it is linear and goes through the origin.

O2 has a y-intercept of y = 5; therefore, it is not proportional because it does not go through the origin (0,0), although it is linear.

O3 resembles a quadratic function, which means it's not a linear function (nonlinear).

Answer:

A. Always positive

Step-by-step explanation:

Answer:

The slope of y= 1/2x-7 is always positive.

Step-by-step explanation:

[tex]y = mx + c \\ y = \frac{1}{2} x - 7 \\ \boxed{slope = \frac{1}{2}} \: which \: is \:always \: positive.[/tex]

Answer:

you would have 1,194.4

Step-by-step explanation:

i subtracted.

Answer:

74 is the answer

Step-by-step explanation:

64+42=106

180-106=74

hope this helped!

Answer: 74°

42+64=106

180-106=74

I hope this helps :

Answer:

Step-by-step explanation:

2 is the largest shared factor.  Thus, the given 14a + 8 = 2(7a + 4).

Answer: 4 seconds

Step-by-step explanation:

Given: The function [tex]h(t)=-36t^2+288t+9[/tex] can be used to model the height of the ball where t is the time in seconds after the ball kicked and h(t) is the height in feet.

Differentiate the given function with respect to t , we get

[tex]h'(t)=-36(2)t+288=-72t+288[/tex]

Put h'(t)=0

[tex]\Rightarrow\ -72t+288=0\Rightarrow\ t=\dfrac{288}{72}\\\\\Rightarrow\ t=4[/tex]

Also, [tex]h''(t)=-72<0[/tex]

By second derivative test, h(t) is maximum at t=4.

Hence, the time in Devon which the ball reaches it maximum height = 4 seconds

Answer:

the answer is 599

Step-by-step explanation:

Answer:

$275

Step-by-step explanation:

30% + 15%=45%

45% of 500 is 225, because 500 x 0.45=225. Then subtract the discount from the total, 500 - 225, and you get 275

Answer:

47.5

Step-by-step explanation:

47.5=100%

57=120%

The input value is 47.5 when the output is 57.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

When the output is 120%, the input is 100%.

And the output is 1.2 times the input.

So, we have the output 57.

To find the input number:

Use division process,

The required number = 57 /1.2

The required number = 47.5.

Therefore, the number is 47.5.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Answer:

x = -2y

Step-by-step explanation:

Step 1. x + 2y = 0

Step 2. x + 0 = -2y

Step 3. x = -2y

Answer:

x = 11

Step-by-step explanation:

Remark

There are two legs. They are equal.

Equation

2x - 4 + 2x - 4 +x = 47                   Combine like terms

Solution

5x - 8 = 47

5x - 8+8 = 47 + 8

5x = 55                                           Divide by 5

x = 11

Cost of washer: $720

Cost of dryer: $240

I've taken this test before and got it right, so you're good :)

Answer:

18 friends

Step-by-step explanation:

Answer:

A, x>3

Step-by-step explanation:

You solve the equation as normal by crossing out both sides and getting what equals to x, but since you divided by a negative the sign flips and you are left with your answer. Hope this helps!

Answer:

[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}[/tex]

Hence, ption B is true.

Step-by-step explanation:

Given the expression

[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}[/tex]

solving the expression

[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}[/tex]

as

[tex]\sqrt{x^2y^3}=xy\sqrt{y}[/tex]

[tex]2\sqrt{x^3y^4}=2xy^2\sqrt{x}[/tex]

so the expression becomes

[tex]\:\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=xy\sqrt{y}+2xy^2\sqrt{x}+xy\sqrt{y}[/tex]

Group like terms

                                        [tex]=2xy^2\sqrt{x}+xy\sqrt{y}+xy\sqrt{y}[/tex]

Add similar elements

                                        [tex]=2xy^2\sqrt{x}+2xy\sqrt{y}[/tex]

Therefore, we conclude that:

[tex]\sqrt{x^2y^3}+2\sqrt{x^3y^4}+xy\sqrt{y}=2xy^2\sqrt{x}+2xy\sqrt{y}[/tex]

Hence, option B is true.

Answer:

b

Step-by-step explanation:

Answer: 0.09 mg

Step-by-step explanation:

To find out the milligrams in the blood after 10 hours you just need to replace the 'h' in the equation to 10.

= 5e⁻⁰°⁴ˣ¹⁰

= 5e⁻⁴

= 0.09157819444

= 0.09 mg

Answer:

Step-by-step explanation:

11/12 - 5/8 =  ? Make the denominator the same (multiply the first term by 2 and the second term by 3).

22/24 - 15/24 = ? Just simplify/solve. 22-15=7.

7/24

OPTION A = 7/24

Answer:a,cd,and h

Step-by-step explanation:

Answer:

what questions you need answers?

Answer: 8%

Step-by-step explanation:

Original Perimeter of the rectangle is:

= 2 * ( Length * Width)

= 2 * (20 + 30)

= 100 cm

The length increased by 10%. It therefore increased to:

= 30 * ( 1 + 10%)

= 30 * 1.1

= 33 cm

The width increased by 5%. It increased to:

= 20 * ( 1 + 5%)

= 21 cm

New Perimeter is therefore:

= 2 * ( 33 + 21)

= 108 cm

Percentage increase in perimeter is:

= (New perimeter - old) / old perimeter

= (108 - 100) / 100

= 8%

Answer:

6.1

Step-by-step explanation:

because the 3 is below 5 so it sticks to 1

Answer: 2J - 5

Step-by-step explanation:

The number of cards that Jacob has = J

Melissa has 5 fewer cards than Jacob. Melissa card will be: = J - 5

The expression that shows the number of cards they have together will be gotten by adding their cards together. This will be:

= J + (J - 5)

= J + J - 5

= 2J - 5

Answer:

A

Step-by-step explanation:

Answer:

1.116071429

Step-by-step explanation:

This is an irrational number, but if you round it, it should be about 1 or 1.12. You can put this in the calculator btw :)

Answer:

Step-by-step explanation:

2x-xy=3

-xy=3-2x

y=3-2x/x

Answer:

[tex]y = - \frac{3}{ x} + 2[/tex]

Step-by-step explanation:

So we want y to be on a side by itself.

2x-xy=3

Subtract 2x from each side

-xy=3-2x

divide each side by -x

[tex]y = \frac{3}{ - x} + 2[/tex]

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

x=9/34 that's the answer

Answer:

The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Step-by-step explanation:

Height of a mountain, h = 90 feet

Upward velocity of a ball, u = 64 ft/s

Its height as a function of time can be written by using the second equation of motion as follows :

[tex]f(x) = -16t^2 + 64t + 960[/tex] .....(1)

When it will hit the ground, f(x) = 0

[tex]-16t^2 + 64t + 960=0\\\\16(-t^2+4t+60)=0\\\\-t^2+4t+60=0[/tex]

It is quadratic equation.

t = -6 s and t = 10 s

Neglecting -6 seconds, the ball will hit the ground at 10 seconds.

For maximum height,

Put f'(x) = 0

[tex]-32t+64=0\\\\\\t=\dfrac{64}{32}\\\\t=2\ s[/tex]

Put t = 2 in equation (1)

[tex]f(2) = -16(2)^2 + 64(2) + 960\\\\=1024\ \text{feet}[/tex]

Hence, the ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Answer:

-2

Step-by-step explanation:

Let's solve your equation step-by-step.

−(3v+1)+7(6v+6)=−37

Step 1: Simplify both sides of the equation.

−(3v+1)+7(6v+6)=−37

−3v+−1+(7)(6v)+(7)(6)=−37(Distribute)

−3v+−1+42v+42=−37

(−3v+42v)+(−1+42)=−37(Combine Like Terms)

39v+41=−37

39v+41=−37

Step 2: Subtract 41 from both sides.

39v+41−41=−37−41

39v=−78

Step 3: Divide both sides by 39.

39v

39

=

−78

39

v=−2

Answer:

v=−2

Answer:-2

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

x + 4(x+5) = 40 (Given)

x + 4x + 20 = 40 (Distribute the 4 into the x and 5)

5x + 20 = 40 (Add like terms)

5x = 20 (Subtract 20 on both sides)

x = 4 (Divide 5 on both sides)

Answer:

5/2

Step-by-step explanation:

10 multiplied by 5/2 gives us 25, so the scale factor is 5/2.