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3 years ago

Question 1

Mathematics

1 answer:

Novosadov [1.4K]3 years ago

4 0

Answer: C, -4

Step-by-step explanation:

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Please help me determine the length in its simplest form

nadya68 [22]

Answer:

AB = 4.5 units

Step-by-step explanation:

Let the length of AB be x.

GIVEN :-

BC = 3 units
CD = 4 units
ED = 6 units
BD || AE

TO FIND :-

The length of AB.

FACTS TO KNOW BEFORE SOLVING :-

Basic Proportionality Theorem :-

If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points , the other two sides are divided in the same ratio.

PROCEDURE :-

According to Basic Proportionality Theorem ,

$\frac{CB}{AB} = \frac{CD}{ED}$

$=> \frac{3}{x} = \frac{4}{6}$

$=> x = \frac{3 \times 6}{4} = \frac{18}{4} = 4.5$

∴ AB = 4.5 units

5 0

3 years ago

-p - 4p is greater than or equal to -10

lara31 [8.8K]

Answer:

p<=2

Step-by-step explanation:

-p-4p>=-10

-5p>=-10

5p>=10

p>=10/5

p>=2

4 0

3 years ago

Radioactive Decay

SpyIntel [72]

Answer:

Percentage of (226Ra) after 900 years is 68%

Step-by-step explanation:

Let P(t) be the amount of (226Ra) present at any time t

Half life of (226 Ra) = 1599 years

If P₀ is initial amount of (226 Ra) then after 1599 years

P(1599)=P₀/2

Decay i amount of radioactive substance is related to time t as

$\frac{dP}{dt}=kP(t)\\\\\frac{1}{P}\,dP=kdt\\\\Integrating\,\, both\,\,sides\\\\ln|P|=kt+c\\\\P(t)=Ce^{kt}\\\\at \,\, t=0\,\, P(0)=P_{o}\\\\P(0)=Ce^{k0}\\\\P_{o}=C\\\\then\\\\P(t)=P_{o}e^{kt}$

To find value of k

$at\,\, t=1599\,years\\\\P(1599)=\frac{P_{o}}{2}\\\\then\\\\\frac{P_{o}}{2} =P_{o}e^{k(1599)}\\\\\frac{1}{2} =e^{k(1599)}\\\\ln|\frac{1}{2}|=k(1599)\\\\k=\frac{ln|\frac{1}{2}|}{1599}=-4.3\times 10^{-3}\\\\\implies P(t)=P_{o}e^{-4.3\times 10^{-3}t}\\\\at\,\, t=900 \\\\P(900)=P_{o}e^{-4.3\times 10^{-3}(900)}\\\\P(900)=0.68P_{o}$

Percentage of radioactive element is:

Amount after 900 years $=\frac{P(900)}{P_{o}}\times 100\\\\=\frac{0.68P_{o}}{P_{o}}\times 100\%\\\\=68\%$

3 0

3 years ago

Question is in picture :) also pls explain (if u can)

fenix001 [56]

The m’s would all be the same number.Another way of adding the same number to each other would be to multiply that number by the number of times you want to add it to each other.

With m + m + m you are adding it 3 times.

So instead multiply m by 3:

The answer is 3m

3 0

3 years ago

Read 2 more answers

Is z/8 monomial, binomial, trinomial, or polynomial?

Aliun [14]

Answer:

Monomial

Step-by-step explanation:

I think because it has only one term

3 0

3 years ago