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kotykmax [81]
3 years ago
11

Write an equation of the line perpendicular to the given line that contains P.

Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0

Answer:

P(y,x)=P

y = 1/3x + 4

Step-by-step explanation:

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At sea level, earths atmosphere exerts a pressure of 1 atmosphere. Atmospheric pressure P (in atmospheres) decreases with altitu
PtichkaEL [24]

Answer:

Initial Amount=1

Decay Factor=0.99987

Decay Rate=0.013%

Step-by-step explanation:

If P = 0.99987ᵃ

I. Initial amount

The initial amount is when a=0

P = 0.99987⁰ = 1

The Pressure at Sea Level=1

II. Decay factor

This is like the decay constant. From the model, P = 0.99987ᵃ, the decay constant/factor is 0.99987.

III. Decay Rate = 1-0.99987 = 0.00013

Expressed in Percentage = 0.013%

5 0
3 years ago
Read 2 more answers
Complete the tables of values.
Vladimir [108]

Answer:

a=1\\b=\frac{1}{16}\\\\c=\frac{1}{256}\\\\d=1\\e=\frac{4}{9}\\\\f=\frac{16}{81}

Step-by-step explanation:

For the orange table:

<em> </em>Substitute the corresponding values of <em>x</em> into the function f(x)=4^{-x}, then:

For a:

x=0

f(0)=4^0=1

For b:

x=2

f(x)=4^{-2}=\frac{1}{16}

For c:

x=4

f(x)=4^{-4}=\frac{1}{256}

For the blue table:

<em> </em>Substitute the corresponding values of <em>x</em> into the function g(x)=(\frac{2}{3})^x, then:

For d:

x=0

g(x)=(\frac{2}{3})^0=1

For e:

x=2

g(x)=(\frac{2}{3})^2=\frac{4}{9}

For f:

x=4

g(x)=(\frac{2}{3})^4=\frac{16}{81}

3 0
3 years ago
Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circ
bixtya [17]

Answer:

AB=2\sqrt{ab}

Step-by-step explanation:

From figure,

OA=a,  \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)

In triangle OO'D

  (OO')^2=(OD)^2+(O' D)^2

\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]

Hence, AB=2\sqrt{ab}

6 0
3 years ago
Someone plz help me
babunello [35]
Okay lets start with "what is a kite?" A kite is a shape which has 4 sides of which 2 pairs of two sides are equal and the center angle is 90 degrees. So mark up your drawing with tick marks to show that segment DF and segment FG are equal (just put a little tick mark on those segments). Similarly segments DH and GH are equal so put two tick marks on them to show they are equal. Mark the center angle with a little square to show it is 90 degrees. Let me give you some hints on the answers. a. is given like you have  b. is what you marked on your drawing and is the definition of a kite e. is definition of congruency or even substitution  f. Reflexive property - remember it just says that something is congruent to itself. g. looks like the HL property  h. you can say that because of CPCTC.  
5 0
3 years ago
Z=3 6z to the 2 power + 10z +5
skad [1K]

Answer:

359

Step-by-step explanation:

6x3+18

18 to the second power is 324

10x3=30

30+5=35

324+35=359

8 0
3 years ago
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