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Dafna1 [17]
3 years ago
12

Please help (picture) its due in an hour

Mathematics
2 answers:
Fofino [41]3 years ago
6 0

Answer:

a) \:  \: 6x - 8

b) \:    \: - 18 {x}^{2}  + 15

c) \:  \:  {x}^{4}  + 2  {x}^{3}  + 7 {x}^{2}

Step-by-step explanation:

a) \:  \: 2(3x−4) \\ 2(3x)+2(−4) \\ 6x+2(−4) \\ 6x−8

b) \:  \: −3(6 {x}^{2} −5) \\ −3(6 {x}^{2} )−3( - 5) \\  - 18 {x}^{2}  - 3( - 5) \\  - 18 {x}^{2}  + 15

c) \:  \:  {x}^{2} ( {x}^{2}   + 2x + 7) \\  {x}^{2}   {x}^{2}  +  {x}^{2} (2x) +  {x}^{2}  \times 7 \\  {x}^{4}  + 2 {x}^{2} x + 7 \times  {x}^{2}  \\  {x}^{4}  + 2  {x}^{3}  + 7 {x}^{2}

<h3>Hope it is helpful....</h3>
Tresset [83]3 years ago
5 0

Answer:

a) 6x-8

b) -18x^2-15

c) x^4+2x^3+7x^2

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Twice the sum of a number and 5 is equal to three times the difference of the number and 2
Alexxx [7]

Answer:16

Step-by-step explanation:

Let the number be X

Twice the sum of a number and 5

= 2X+5

Three times the difference of the number and 2

= 3(X - 2)

Since Twice the sum of X and 5 is equal to three times the difference of the X and 2, This means

2(X + 5 )= 3(X - 2)

2X +10 = 3X - 6

3X -2X = 10 + 6 = 16

X = 16

Check

2×(16+5) =3×(16-2)

2×21 = 3×14

42 = 42

3 0
3 years ago
A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of t
Vlad1618 [11]

Answer:

 185553.7\text{ feet}^3

Step-by-step explanation:

GIVEN: A space telescope on a mountaintop is housed inside of a cylindrical building with a hemispheric dome. If the circumference of the dome is 84\text{ feet}, and the total height of the building up to the top of the dome is 91\text{ feet}.

TO FIND: what is the approximate total volume of the building.

SOLUTION:

let the height of the mountaintop be h\text{ feet}

As the dome hemispherical.

circumference of a hemisphere =\frac{1}{2}\times2\pi\times radius

                                                    =\pi\times radius

                                                    \frac{22}{7}\times radius=84

                                                    radius=26.75\text{ feet}

total height of the building up to the top of the dome =\text{radius of hemisphere}+\text{height of mountaintop}

=26.75+h=91

h=64.25\text{ feet}

Volume of building =\text{volume of cylindrical mountaintop}+\text{volume of dome}

                                =\pi(radius)^2h+\frac{2}{3}\pi(radius)^3

as radius of mountain top is same as dome

putting values

                                =3.14(26.75)^264.75+\frac{2}{3}3.14(26.75)^3      

                               =145484.6+40069.1

                               185553.7\text{ feet}^3

Hence the total volume of the building is 185553.7\text{ feet}^3                                      

5 0
3 years ago
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aleksklad [387]
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Sara bought a 20 ounces jar of strawberry jam for $4 what is the unit price
snow_tiger [21]

Answer: Unit price = 0.2 per ounce

Step-by-step explanation:

What we were given;

Product price = $4

Quantity of product = 20 ounce

To get the unit price of the strawberry jam,

We simply devide the product price by the quantity of the product

Therefore;

Unit price = 4 / 20

Unit price = 0.2 per ounce

6 0
3 years ago
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Natalija [7]
297 cm is the total surface area of the square pyramid
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