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ASHA 777 [7]
3 years ago
12

Which of the following are identities?

Mathematics
2 answers:
USPshnik [31]3 years ago
4 0

Answer:

I believe that the answer is 1

Step-by-step explanation:

So an identity is an equation that both sides are equal.  So in the first answer 3(5 +2x)=15+6x  equals each other because after distributing the 3 into the (5+2X) it equals 15+6x

Bas_tet [7]3 years ago
3 0

Answer:

A

Step-by-step explanation:

3(5 + 2x) = 15 + 6x

15 + 6x = 15 + 6x

6x - 6x = 15 - 15

0 = 0

No solution, no identity.

y = x + 3

No identity.

Identity : a² - b² = (a + b) (a - b)

The only identity is option 3.

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Half-life of Po-210 is 140 days. If the initial mass of the sample is 5
Anna35 [415]

Answer:

0.625kg

Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass <u>after</u><u> </u><u>4</u><u>2</u><u>0</u><u> </u><u>days</u><u> </u>

in order to solve so we can consider the half-life formula given by

\displaystyle f(t) = a {0.5}^{t/T}

where:

  • f(t) is the remaining quantity of a substance after time t has elapsed.
  • a is the initial quantity of this substance.
  • T is the half-life

since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

\displaystyle f(420)=5\cdot{0.5}^{420/140}

reduce fraction:

\displaystyle f(420)=5\cdot{0.5}^{3}

By using calculator we acquire:

\displaystyle f(420)=0.625

hence, the remaining sample after 420 days is 0.625 kg

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3 years ago
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Does anyone know what 0.03 divided by 18 is and could you pls show the work?
Flauer [41]
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6 0
3 years ago
18, 7<br> The LCM of 18 and 7 is
Korvikt [17]

Answer:

126

Step-by-step explanation:

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4 0
3 years ago
7.
Iteru [2.4K]

Answer:

a. 45 π

b. 12 π

c. 16 π

Step-by-step explanation:

a.

If a 3×5 rectangle is revolved about one of its sides of length 5 to create a solid of revolution, we can see a cilinder with:

Radius: 3

Height: 5

Then the volume of the cylinder is:

V=π*r^{2} *h= π*(3)^{2} *(5) = π*(9)*(5)=45 π

b. If a 3-4-5 right triangle is revolved about a leg of length 4 to create a solid of revolution. We can see a cone with:

Radius: 3

Height: 4

Then the volume of the cone is:

V=(1/3)*π*r^{2} *h= (1/3)*π*(3)^{2} *(4) = (1/3)*π*(9)*(4)=12 π

c. We can answer this item using the past (b. item) and solving for the other leg revolution (3):

Then we will have:

Radius: 4

Height: 3

Then the volume of the cone is:

V=(1/3)*π*r^{2} *h= (1/3)*π*(4)^{2} *(3) = (1/3)*π*(16)*(3)=16 π

7 0
3 years ago
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