Simplfy 7 to the power of 2

a water tank is 5cm tall and has a diameter of 3,5m . calculate the capacity (volume) of the tank .use π=3,14

Evgesh-ka [11]

Step-by-step explanation:

Firstly convert the diameter into cm

t480812.5cm³hus 3.5×100=350cm

Volume=

$\frac{\pi {d}^{2} h}{4}$

$\frac{3.14 \times (350) {}^{2} \times 5 }{4}$

=480812.5cm³

8 0

3 years ago

Reflections, rotations, and translations are types of transformations. A reflection flips an image, a rotation spins an image, a

Ostrovityanka [42]

Answer:

Hey there!

A "flip" can be considered a reflection.

A "spin" is a rotation.

A "slide" is a translation.

None of these transformations change the way a shape looks, or the size of the shape. They only change how the shape is oriented.

Let me know if this helps :)

4 0

3 years ago

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Aryana wants to invest $43,000. She has two options. Option A gives her 6% compounded quarterly. Option B gives her 6% simple in

solmaris [256]

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is $197.9

Step-by-step explanation:

In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

Rate r= 6%= 0.06

time t= 3years

n= 4 (applicable for compound interest compounded quarterly)

solving for option A gives her 6% compounded quarterly

the compound interest formula is

$A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3$

$A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58$

Interest is $A-P= 51411.58-43000= 8411.58$ =$8411.58

solving for option B which gives her 6% simple interest annually

the simple interest formula is

$A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68$

Interest is $A-P=51213.68-43000= 8213.68$ = $8213.68

calculating the diference in interest between the two options we have

$8411.58-8213.68= 197.9$ = $197.9

Option A earns higher interest

8 0

3 years ago

I'm a 10 x 10 grid that represents 800 one square represents

nasty-shy [4]

One square represents 8

7 0

3 years ago

When using the power rule, the original coefficient:__________a) Is multiplied by the original exponent.b) Only changes if the f

sleet_krkn [62]

Answer:

a) Is multiplied by the original exponent.

Step-by-step explanation:

the power rule works like this:

you want to find the derivative of ax ⁿ

where n is the exponent and a is the coefficient

the derivative would equal (n ⋅ a)xⁿ⁻¹

e.g. you want to find the derivatives of 5x⁴

f'(x) = (4 ⋅ 5)x⁴⁻¹ = 20x³

f''(x) = (3 ⋅ 20)x³⁻¹ = 60x²

f'''(x) = (2 ⋅ 60)x²⁻¹ = 120x

f''''(x) = (1 ⋅ 120)x¹⁻¹ = 120

7 0

3 years ago

Simplfy 7 to the power of 2​

Simplfy 7 to the power of 2