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3 years ago

A school has 2 computer labs. Each lab has 30 computers. A total of

Mathematics

2 answers:

loris [4]3 years ago

7 0

Answer:

The 4th option (the one you mouse is hovering on in the picture)

Step-by-step explanation:

You start with 30x2 because that shows the amount of computers in the school. Then you subtract 6 for the amount that doesn't work in the whole school.

UNO [17]3 years ago

6 0

Answer:

(2x30)-6

Step-by-step explanation:

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Find an equation of the tangent to the curve x =5+lnt, y=t2+5 at the point (5,6) by both eliminating the parameter and without e

svet-max [94.6K]

ANSWER

$y = 2x -4$

EXPLANATION

Part a)

Eliminating the parameter:

The parametric equation is

$x = 5 + ln(t)$

$y = {t}^{2} + 5$

From the first equation we make t the subject to get;

$x - 5 = ln(t)$

$t = {e}^{x - 5}$

We put it into the second equation.

$y = { ({e}^{x - 5}) }^{2} + 5$

$y = { ({e}^{2(x - 5)}) } + 5$

We differentiate to get;

$\frac{dy}{dx} = 2 {e}^{2(x - 5)}$

At x=5,

$\frac{dy}{dx} = 2 {e}^{2(5 - 5)}$

$\frac{dy}{dx} = 2 {e}^{0} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5)$

$y = 2x - 10 + 6$

$y = 2x -4$

Without eliminating the parameter,

$\frac{dy}{dx} = \frac{ \frac{dy}{dt} }{ \frac{dx}{dt} }$

$\frac{dy}{dx} = \frac{ 2t}{ \frac{1}{t} }$

$\frac{dy}{dx} = 2 {t}^{2}$

At x=5,

$5 = 5 + ln(t)$

$ln(t) = 0$

$t = {e}^{0} = 1$

This implies that,

$\frac{dy}{dx} = 2 {(1)}^{2} = 2$

The slope of the tangent is 2.

The equation of the tangent through

(5,6) is given by

$y-y_1=m(x-x_1)$

$y - 6 = 2(x - 5) =$

$y = 2x -4$

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3 years ago

At the grocery store, Emily notices that it costs

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Answer:

4.34

Step-by-step explanation:

2.48/40=0.062 per ounce

0.062 x 70 = 4.32 for 70 ounces

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2 years ago

E - 867 = 108; E = need help

lina2011 [118]

To solve for E you'll add 867 to 108.

E - 867 = 108
E = 108 + 867
E = 975

Hope this helps :)

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3 years ago

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Answer:

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