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3 years ago

7)

Mathematics

1 answer:

astra-53 [7]3 years ago

4 0

Answer:

f(2) = 28

Step-by-step explanation:

f(2) = 2(2³) - 18(2²) + 36(2) + 12

= 2(8) - 18(4) + 72 + 12

= 16 - 72 + 72 + 12

= 16 + 12

= 28

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Help neeed help please

anyanavicka [17]

reflection and translation.

Given:

The different transformation in the options.

To find:

The transformation that would result in the perimeter of a triangle being different from the perimeter of its image.

Solution:

In option 1,

$(x,y)\to (y,x)$

It represents reflection across the line y=x.

In option 2,

$(x,y)\to (x,-y)$

It represents reflection across the x-axis.

In option 3,

$(x,y)\to (4x,4y)$

It represents dilation by scale factor 4 and the center of dilation is at origin.

In option 4,

$(x,y)\to (x+2,y-5)$

It represents translation 2 units right and 5 units down.

We know that the reflection and translation are rigid transformations, It means the size and shape of the figure remains the same after transformation.

So, the perimeter of the figure and its image are same in the case of reflection and translation.

But dilation is not a rigid transformation. In dilation, the figure is similar to its image. So, the perimeter of the figure and its image are different in the case of dilation.

Therefore, the correct option is 3.

8 0

3 years ago

At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o

bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, $P_0=15$

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

$P(x)=P_0(1+r)^x$

now, we can plug values

$P(x)=15(1+0.4142)^x$

$P(x)=15(1.4142)^x$

Average rate of change between 2 years and 4 years:

we can use formula

$A_1=\frac{P(4)-P(2)}{4-2}$

now, we can plug values

$A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}$

$A_1=14.99914$

Average rate of change between 4 years and 6 years:

we can use formula

$A_2=\frac{P(6)-P(4)}{6-4}$

now, we can plug values

$A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}$

$A_2=29.99770$

Average rate of change between 6 years and 8 years:

we can use formula

$A_3=\frac{P(8)-P(6)}{8-6}$

now, we can plug values

$A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}$

$A_3=59.99425$

now, we will check each options

option-A:

we can see that

$A_3-A_2=30$

So, this is FALSE

option-B:

$A_1=\frac{1}{2}A_2$

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

$A_1=\frac{1}{2}A_2$

so, this is FALSE

5 0

3 years ago

Please help! Does anyone know how to work this surface area question out???

Alik [6]

Surface area of a cylinder=(2xxradiusxheight)+(xradius^2x2)

Radius=Diameter/2
Radius=6/2
=3 m
Height=14 m
Surface area=(2xx3x14)+(x3^2x2)
Surface area=263.8937829+56.54866776
Surface area=320.4424507 m^2
=320.4 m^2

Tin of paint: 90 m^2/3.70 euros
Number of tins needed=320.4/90
=3.56 cans of paint
Price=3.56x3.70
Price=13.172 euros

Hope this helps!
P.S. the “^” sign means “to the power of”
ʕ•ᴥ•ʔ

6 0

3 years ago

What is the volume of a cylinder with a radius of 9 inches and a height of 2 inches? Use 3.14 for pi. Round your answer to the n

Katena32 [7]

Volume = 3.14 × 9^2 × 2
Volume = 508.68

6 0

3 years ago

Read 2 more answers

ILL MARK BRAINLEST When Josiah opens and lays a cereal box out flat, he sees that the top and the bottom of the box both measure

Elan Coil [88]

Answer:

Surface area = 252 inches^2

Step-by-step explanation:

Surface area = 2lw + 2lh + 2wh

2(2*8) + 2(2*11) + 2(8*11)

32 + 44 + 176 = 252

4 0

4 years ago