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3 years ago

Ms.Nikkel wants to divide her class of 23 students into 4 equal teams. Is this reasonable? Why or why not

Mathematics

2 answers:

Bess [88]3 years ago

6 0

No, because one student will be left out making one group unequal.

trapecia [35]3 years ago

6 0

I’m late but just to let you know, it’s actually 3 let over because, 23 divided by

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Did you really think someone would write you a whole essay just for fun

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2 years ago

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

Please help me Arithmetic Reasoning

jek_recluse [69]

Step-by-step explanation:

Price of Jeans = $78.35

30% coupon = 30% × $78.35 = $23.51

6% sales tax = 6% × $78.35 = $4.70

1% local option tax = 1% × $78.35 = $0.78

Total cost of jeans = $78.35 - $23.51 + $4.70 + $0.78 = $60.32

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3 years ago

What can be the answer? Please help jm in a middle of an final exam

Vikki [24]

Answer:

Step-by-step explanation:

7x +3 = 5x + 25

2x + 3 = 25

2x = 22

x = 11

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Complete the square:
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3 years ago

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