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3 years ago

-3 < 5 true or false

Mathematics

2 answers:

irakobra [83]3 years ago

4 0

Answer:

true

Step-by-step explanation:

max2010maxim [7]3 years ago

3 0

Answer:

true?

Step-by-step explanation:

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A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula

Ilia_Sergeevich [38]

Answer: A. $A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}$

B. A'(5) = 1.76 cm/s

Step-by-step explanation: Rate of change measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

$A=\pi.r^{2}$

So to find the rate of the area:

$\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}$

$\frac{dA}{dr} =2.\pi.r$

Using $r(t)=3-\frac{363}{(t+11)^{2}}$

$\frac{dr}{dt}=\frac{726}{(t+11)^{3}}$

Then

$\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]$

$\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}$

Multipying and simplifying:

$\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$

The rate at which the area is increasing is given by expression $A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}$ .

B. At t = 5, rate is:

$A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}$

$A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}$

$A'(5)=\frac{2408693760\pi}{4294967296}$

$A'(5)=1.76268$

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

5 0

3 years ago

Sakura speaks 150 words per minute on average in Hungarian, and 190 words per minute on average in Polish. She once gave cooking

marusya05 [52]

Answer:3 minute

Step-by-step explanation:

Sakura speaks hungarian =150 words per minute

Sakura speaks polish =190 words per minute

and it is given she speaks 270 more words in polish than in hungarian

She speaks for a total of 5 minutes

let she speaks hungarian for t mins

therefore $150\times t+270=190\left ( 5-t\right )$

t=2 mins

therefore sakura speaks hungarian for 2 mins and polish for 3 mins

6 0

3 years ago

Hello please help help

irinina [24]

9514 1404 393

Answer:

48°

Step-by-step explanation:

ΔACB is isosceles, so angles A and B have the same measure. The measure of angle C in that triangle is ...

∠C = 180° -2(69°) = 42°

Angle C in ΔCDE has the same measure. Angle D is the complement of that:

∠D = 90° -42° = 48°

_____

The relations we used are ...

the sum of angles in a triangle is 180°
base angles of an isosceles triangle are congruent
vertical angles are congruent
acute angles in a right triangle are complementary

5 0

3 years ago

The size of a slow-growing bacteria strain increases continuously over time. This equation describes the predicted size of the b

Artemon [7]

Answer:

1102.8 mm^2

Step-by-step explanation:

We presume your equation is intended to be ...

y = 112(1.58)^t

Since t is in minutes, fill in the given value and do the arithmetic:

y = 112(1.58)^5 = 112(9.84658) ≈ 1102.8

The approximate size of the bacteria strain will be 1102.8 mm^2 after 5 minutes.

6 0

3 years ago

A line with a slope of 1 passes through the point (1,6). what is its equation in slope-intercept form

Lilit [14]

Y-6=1(x-1)
Y-6=x-1
Y=x-1+6
Y= x+ 5

3 0

3 years ago