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3 years ago

Select the correct answer from the drop-down menu.

Mathematics

1 answer:

m_a_m_a [10]3 years ago

3 0

Answer:

They will work together and print 200 T-shirts in 37.5 minutes.

Step-by-step explanation:

One machine can print 200 T-shirts in 50 minutes.

So, in one minute that machine can print $\frac{200}{50} = 4$ T-shirts.

Again, the other machine can print 200 T-shirts in 150 minutes.

So, in one minute the other machine can print $\frac{200}{150} = 1.33$ T-shirts.

Therefore, working together for one minute both the machines will print (4 + 1.33) = 5.33 number of T-shirts.

Hence, they will work together and print 200 T-shirts in $\frac{200}{5.33} = 37.5$ minutes. (Answer)

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3 years ago

`find the equatifindon of tangent and normal of parabola y²=16ax at point whose coordinate is -5a.

marusya05 [52]

Answer:

$\rm \displaystyle y _{ \rm tangent} = - \frac{8}{5} x - \frac{5}{2} a$

$\rm \displaystyle y _{ \rm normal} = \frac{5}{8} x - \frac{765}{128} a$

Step-by-step explanation:

we are given a equation of parabola and we want to find the equation of tangent and normal lines of the Parabola

finding the tangent line

equation of a line given by:

$\displaystyle y = mx + b$

where:

m is the slope
b is the y-intercept

to find m take derivative In both sides of the equation of parabola

$\displaystyle \frac{d}{dx} {y}^{2} = \frac{d}{dx} 16ax$

$\displaystyle 2y\frac{dy}{dx}= 16a$

divide both sides by 2y:

$\displaystyle \frac{dy}{dx}= \frac{16a}{2y}$

substitute the given value of y:

$\displaystyle \frac{dy}{dx}= \frac{16a}{2( - 5a)}$

simplify:

$\displaystyle \frac{dy}{dx}= - \frac{8}{5}$

therefore

$\displaystyle m_{ \rm tangent} = - \frac{8}{5}$

now we need to figure out the x coordinate to do so we can use the Parabola equation

$\displaystyle ( - 5a {)}^{2} = 16ax$

simplify:

$\displaystyle x = \frac{25}{16} a$

we'll use point-slope form of linear equation to get the equation and to get so substitute what we got

$\rm \displaystyle y - ( - 5a)= - \frac{8}{5} (x - \frac{25}{16} a)$

simplify which yields:

$\rm \displaystyle y = - \frac{8}{5} x - \frac{5}{2} a$

finding the equation of the normal line

normal line has negative reciprocal slope of tangent line therefore

$\displaystyle m_{ \rm normal} = \frac{5}{8}$

once again we'll use point-slope form of linear equation to get the equation and to get so substitute what we got

$\rm \displaystyle y - ( - 5a)= \frac{5}{8} (x - \frac{25}{16} a)$

simplify which yields:

$\rm \displaystyle y = \frac{5}{8} x - \frac{765}{128} a$

and we're done!

( please note that "a" can't be specified and for any value of "a" the equations fulfill the conditions)

8 0

3 years ago

Read 2 more answers

calculate the area of cut and fill for the following road way section in sq ft and then convert to sq yd

lyudmila [28]

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3 years ago

What is the slope of the line through(1,-1) and (5,-7)

TEA [102]

Answer:

slope= -1.5

Step-by-step explanation:

-6/4= -1.5

4 0

3 years ago

Spila Motors Inc. earned income of $69,000 from its operating activities for a specified period. During the same period, it sold

11111nata11111 [884]

The right answer is Option C.

Step-by-step explanation:

Income = $69000

Gain = $3000

Total earned= Income + Gain

$Total = 69000+3000=\$72000$

Expenses on operating activities = $33000

Expenses on non operating activities = $8000

Total expenses = 33000+8000 = $41000

Profit = Total earned - Total expenses

$Net\ profit=72000-41000=\$31000$

The net profit made by Spila was $31000.

The right answer is Option C.

Keywords: net profit, subtraction

Learn more about subtraction at:

#LearnwithBrainly

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3 years ago