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3 years ago

15

a machine in a candy company creates 512 pieces of candy a minute it's a small box of candy has 38 pieces in it how many full bo

xes does the machine make in a minute

1 answer:

julsineya [31]3 years ago

8 0

512/38 = 13 18/38

13 9/19

It makes 13 full boxes of candy per minute

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g is constructing a triangular sail for a sailboat. Aluminum supports will run along the horizontal base and vertical height of

valkas [14]

Answer: A (max) = 1/2 ( 8 * 8 ) = 32 ft²

Step-by-step explanation:

We have two constrains

a) The height of the sail ( support) cannot exceed 12 feet

b) The total weight of the supports cannot exceed 80 pounds

The weight of a foot of aluminum is 5 .

If we call:

x lenght of base support, y height of the vertical support and the sail shape (is a triangle) we have

A = 1/2* ( x + y )

We know that (given a constant perimeter rectangle, the maximun area is the square

A = x * y P = 2x +2y y = (P - 2x ) ÷ 2

A = x * ( P - 2x ) ÷ 2 ⇒ A = (Px -2x²) ÷ 2

if we get derivative A´(x) = (P-4x)/2 ⇒ (P-4x)/2 = 0

P = 4x and x = P/4

Now we can look an square as two straight triangles joined by the diagonal and these two triangles are of area maximun.

Therefore in our case the sail must be of 8 x 8 feet (base and height)

A (max) = 1/2 ( 8 * 8 ) = 32 ft² and we will keep the condition of weigh

8 + 8 = 16 feet and the supports weights 16 * 5 = 80 pounds

7 0

3 years ago

A patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees Fahrenheit, of the patient t hours

likoan [24]

Step-by-step explanation:

Given that,

The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins is given by:

$T(t)=-0.02t^2 +0.4968 t+98$ ...(1)

(a) We need to find when does the patient's temperature reach its maximum value.

For maximum value.

Put dT(t)/dt = 0

$\dfrac{d(T(t)}{dt}=\dfrac{d}{dt}(-0.02t^2 +0.4968t +98)\\\\=-0.04t+0.4968\\\\-0.04t+0.4968=0\\\\t=12.42\ h$

(b) Put t = 12.42 in equation (1) :

$T(12.42)=-0.02(12.42)^2 +0.4968 (12.42)+98\\\\=101.08^{\circ} F$

Hence, this is the required solution.

4 0

2 years ago

How do I simplify this?

vladimir1956 [14]

Answer:

Domain: all real numbers except 0 and -3

Vertical asymptotes: x = 0; x = -3

Step-by-step explanation:

The domain is the set of numbers that can be substituted for x.

The expression has x in the denominator. Since division by zero is undefined, x cannot have any value that would cause a zero in the denominator. To find which values of x cause a zero in the denominator, we set the denominator equal to zero and solve the equation for x.

2x^2 + 6x = 0

Factor 2x.

2x(x + 3) = 0

Divide both sides by 2.

x(x + 3) = 0

x = 0 or x + 3 = 0

x = 0 or x = -3

Since the values x = 0 and x = -3 cause the denominator to equal zero, these two values of x must be excluded from the domain.

Domain: all real numbers except 0 and -3

The vertical asymptotes happen at the x values excluded from the domain.

Vertical asymptotes: x = 0; x = -3

8 0

3 years ago

What are the zeros of this function?

kifflom [539]

Answer:

A

Step-by-step explanation:

x=4 and x=6 is where the graph touches the x axis

3 0

2 years ago

Read 2 more answers

I only need the equations, I can solve it.

natali 33 [55]

How can you solve it if you don't know the equations? :P Just kidding...

n+d=22, so we can say that d=22-n

5n+10d=120, and using d found above in this equation gives you:

5n+10(22-n)=120

5n+220-10n=120

-5n=-100

n=20, and since d=22-n, d=2

So there are two dimes and twenty nickels...

check...

20(5)+2(10)=100+20=120 cents which is $1.20

n+d=22, 20+2=22, 22=22

4 0

3 years ago

Read 2 more answers