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3 years ago

Can anyone help me with this question, it asks Which function shows an increasing rate of growth?

Mathematics

2 answers:

crimeas [40]3 years ago

5 0

Answer: Option B

Step-by-step explanation:

An increased rate of growth refers to exponential growth.

Are those of the form "An amount X increases by a 10% every year"

Then, if in year 0 you have X

in year 1 you have X + 0.1*X = X*1.1

in year 2 you have (X*1.1) + (X*1.1)*0.1 = X*1.1*1,1 = X*1.1^2

and in year n, you have X*1.1^n

Then, an increasing rate of growth is usually described by a number bigger than 1 potentiated by the variable; in this case, the correct option is option b:

h(x)=99(1.05)^x

(where the sign ^ is missing in the question)

raketka [301]3 years ago

4 0

Answer:

Step-by-step explanation:

the correct answer is B

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hammer [34]

Answer:

Option B, 1

Step-by-step explanation:

tan 45° = 1/1 = 1

7 0

3 years ago

-2x^2+4x-1 from 6x^2+3x-9

kirza4 [7]

Answer:

$8{x}^{2} - x - 8$

Step-by-step explanation:

We want to subtract

$- 2 {x}^{2} + 4x - 1$

from

$6 {x}^{2} + 3x - 9$

We set up the subtracttion problem to get:

$6 {x}^{2} + 3x - 9 - ( - 2 {x}^{2} + 4x - 1)$

We expand the parenthesis to get:

$6 {x}^{2} + 3x - 9 + 2 {x}^{2} - 4x + 1$

Group similar terms:

$6 {x}^{2} + 2 {x}^{2} + 3x- 4x + 1 - 9$

We simplify to get:

$8{x}^{2} - x - 8$

4 0

4 years ago

No fakes please! Ill give brainliest!!!

Andreas93 [3]

Step-by-step explanation:

1. 5/8 = 62.5%

2. 1/5 = 20%

3. 4 2/3 = 4.66%

8 0

3 years ago

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natulia [17]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Q2.What is the ratio of volumes of the two cylinders formed by rolling a sheet of dimensions lxb in two different ways? Q3.What

Kobotan [32]

Answer:

2. b : l

3. 20cm

4. 49 $cm^{2}$

5. $(2\pi+1):2\pi$

Step-by-step explanation:

Solution 2:

Let cylinder is rolled along 'l':

Height of cylinder , h = length of rectangle = l

Perimeter of base = b

Let 'r' be the radius of cylinder's base:

$2\pi r = b\\\Rightarrow r = \dfrac{b}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_1 = \pi (\dfrac{b}{2\pi})^2 l\\\Rightarrow V_1 = (\dfrac{b^2}{4\pi}) l$

Let cylinder is rolled along 'b':

Height of cylinder , h = length of rectangle = b

Perimeter of base = l

Let 'r' be the radius of cylinder's base:

$2\pi r = l\\\Rightarrow r = \dfrac{l}{2\pi}$

Volume of a cylinder is given as:

$V = \pi r^{2} h$

Putting the values:

$V_2 = \pi (\dfrac{l}{2\pi})^2 b\\\Rightarrow V_2 = (\dfrac{l^2}{4\pi}) b$

Taking ratio:

$V_1:V_2 = \dfrac{(\dfrac{b^2}{4\pi}) l}{(\dfrac{l^2}{4\pi}) b} = b:l$

Solution 3:

Rectangle is rolled along its length to make a cylinder, so height will be equal to its length.

$\therefore$ height of cylinder = 20 cm

Solution 4:

Side of square = 7 cm

Height of cylinder =Side of square = 7 cm

7 cm will be the circumference of the circle.

i.e. $2\pi r$ = 7 cm

Curved surface area of a cylinder:

$CSA = 2\pi rh$

Putting the above values:

CSA = 7 $\times$ 7 = 49 $cm^{2}$

Solution 5:

As calculated in above step:

CSA = $2\pi rh =$ 7 $\times$ 7 = 49 $cm^{2}$

Total surface area = $2\pi r^{2} + 2\pi r h$

Calculating value of r:

$2\pi r$ = 7 cm

$\Rightarrow 2 \pi r = 7\\\Rightarrow r = \dfrac{7}{2\pi}$

Total surface area =

$2\pi (\dfrac{7}{2\pi})^{2} + 49\\\Rightarrow \dfrac{49}{2\pi}+49\\\Rightarrow 49(\dfrac{1}{2\pi}+1) cm^2$

Ratio of TSA: CSA is

$49(\dfrac{1}{2\pi}+1) cm^2 : 49 cm^2\\\Rightarrow (\dfrac{1}{2\pi}+1):1\\\Rightarrow (2\pi+1): 2\pi$

5 0

3 years ago