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DochEvi [55]
3 years ago
10

Use the method from the Example to approximate the solution to the equations below to two decimal places.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0

Answer:

x = 3.85

Step-by-step explanation:

Given equation:

6ˣ = 1,000

now,

on taking log both sides, we get

⇒ log(6ˣ) = log(1,000)

or

⇒ log(6ˣ) = log(10³)

now we know the property of log function that

log(aᵇ) = b × log(a)

thus, applying the above property, we get

⇒ x × log(6) = 3log(10)

or

⇒ x × log(2×3) = 3log(10)

now,

we have another property of log function as":

log(A) = log(A) + log(B)

therefore,

x × [log(2) + log(3)] = 3log(10)

also,

log(10) = 1

log(2) = 0.3010

log(3) = 0.4771

Thus,

⇒ x × [0.3010 + 0.4771 ] = 3 × 1

or

⇒ x × 0.7781 = 3

or

⇒ x = 3.85

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Answer:

cone1,cone3,cone2 or no f

Step-by-step explanation:

Calculate Volume of the cones:

Cone 1:Formula=pir^2h/3

=Approximately 452.39

Cone2:Approximately,904.78

Cone 3:Approximately,733.04

We can see Cone 2 has highest and 1 has lowest

So the order is 1,Cone3,Cone2

5 0
3 years ago
Doug is 2 more than twice the age of Joey.<br> The sum of their ages is 74. How old is Doug?
Citrus2011 [14]
The answer would be 37
4 0
3 years ago
Consider the following function. f(x) = |x − 9| Find the derivative from the left at x = 9. If it does not exist, enter NONE. -1
nydimaria [60]

Answer with Step-by-step explanation:

We are given that

f(x)=\mid x-9\mid

f(x)=-(x-9) when x<9

f(x)=x-9 when x\geq 9

LHD

\lim_{x\rightarrow 9-}f'(x)

=-\lim_{x\rightarrow 9-}(x-9)=-1

RHD

\lim_{x\rightarrow 9+}f'(x)

=\lim_{x\rightarrow 9+}(x-9)=1

LHD\neq RHD

Hence, the function is not differentiable at x=9

8 0
3 years ago
Solve for x: −2(x + 3) = −4(x + 1) − 4
Stolb23 [73]

Hello! My name is Chris and I’ll be helping you with this problem.

Date: 9/27/20  Time:  

Answer:  

x = -1

Explanation:

Step 1: Simplify both sides of the equation.

−2(x+3)=−4(x+1)−4

(−2)(x)+(−2)(3)=(−4)(x)+(−4)(1)+−4(Distribute)

−2x+−6=−4x+−4+−4

−2x−6=(−4x)+(−4+−4)(Combine Like Terms)

−2x−6=−4x+−8

−2x−6=−4x−8

Step 2: Add 4x to both sides.

−2x−6+4x=−4x−8+4x

2x−6=−8

Step 3: Add 6 to both sides.

2x−6+6=−8+6

2x=−2

Step 4: Divide both sides by 2.

2x  = -2

/2      /2

x=−1

I hope this helped answer your question! Have a great rest of your day!

Furthermore,  

Chris

5 0
3 years ago
Read 2 more answers
2. Calculate the energy in joules of a photon whose frequency is 7.55×1014 Hz.
igomit [66]
The energy of a photon is given by
E = h × v

where:
E is the energy in joules/photon
'h' is the constant 6.63 × 10⁻³⁴
'v' is the frequency 7.55 × 10¹⁴

Substitute 'h' and 'v' into the formula we have

E = (6.63×10⁻³⁴) × (7.55×10¹⁴)
E = (6.63×7.55) × (10⁻³⁴ × 10¹⁴)
E = 50.0565 × 10⁽⁻³⁴⁺¹⁴⁾
E = 50 × 10⁻²⁰ joules/photon
8 0
3 years ago
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