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3 years ago

7

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big orde

r in 22 hours. How many hours would it take to fill the order if the number of working machines increased by factor of 4?

2 answers:

tia_tia [17]3 years ago

6 0

Answer:

5.5

hope this helped!!!!!

Andrews [41]3 years ago

4 0

5.5 I think hope this helps

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A ball is launched upward from a height 40 feet above ground level. The ball’s height at t seconds is given by -16t^2=128=40 .

Nesterboy [21]

Answer:

The ball will be at 100 feet at time x=0.5 sec and at time x=7.5 sec

Step-by-step explanation:

<u><em>The correct question is</em></u>

A ball is launched upward from a height 40 feet above ground level. the ball's height at t seconds is given by h(t)=-16t^2+128t+40 At what time(s) will the ball be at 100 feet?

we have

$h(t)=-16t^{2}+128t+40$

so

For h(t)=100 ft

substitute in the equation and solve for x

$-16t^{2}+128t+40=100$

$-16t^{2}+128t-60=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^{2}+128t-60=0$

so

$a=-16\\b=128\\c=-60$

substitute in the formula

$x=\frac{-128(+/-)\sqrt{128^{2}-4(-16)(-60)}} {2(-16)}$

$x=\frac{-128(+/-)\sqrt{12,544}} {-32}$

$x=\frac{-128(+/-)112} {-32}$

$x=\frac{-128(+)112} {-32}=0.5$

$x=\frac{-128(-)112} {-32}=7.5$

therefore

The ball will be at 100 feet at time x=0.5 sec and at time x=7.5 sec

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The half-life of a radioactive element is five years. A scientist has 18 grams of the element. The equation

lianna [129]

Answer:

The equation that describes the amount of mass left after a time t of a radioactive isotope is the following:

where

is the mass of the sample at t = 0

is the half-life of the sample

For the element X in this problem,

We want to find the time t at which

So we need to re-arrange the equation making t the subject:

Step-by-step explanation:

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nikdorinn [45]

Discounted by 25% means he paid 75% of the original price:

80 x 0.75 = $60

Now multiply the sale price by 1 + tax rate:

60 x 1.05 = 63

He paid $63 total.

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What is the vaule (x + y)(x + y)

Stolb23 [73]

Answer:

x^2+2xy+y^2

Step-by-step explanation:

(x + y)(x + y)

FOIL

first x*x = x^2

Outer x*y = xy

inner: y*x = xy

last y*y = y^2

add together

x^2+xy+xy+y^2

Combine like terms

x^2+2xy+y^2

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Step-by-step explanation:

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