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mel-nik [20]
2 years ago
8

5. Solve log2x+ log12= 3. Round to the nearest hundredth if necessary. (1 point)

Mathematics
2 answers:
Serggg [28]2 years ago
5 0
Log 2x + log 12 = 3log 2x = 3 - log 12log 2x = 3 - 1.08log 2x = 1.922x = 10^1.922x = 83.33x = 83.33/2x = 41.67
nikitadnepr [17]2 years ago
4 0

1) log_8a-log_82

2) 2.089

3) 3.57 decibels

4) 0.82

5) 41.67

6) In x^2/c^5

7) 21,405 mowers

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A package delivery company experiences high variability in daily customer demand, which in turn results in high variability in t
Ilya [14]

Solution :

Let :

X = number of overtime hours

S = total weekly salary

S = $12 \times 40 + 18 \times X$

S = 480 + 18X

E(S) = $480 + 18 \times E(X)$

$E(S) = 480 + 18 \times 15$

        = 750

Mean of S = 750

Var (S) = $18^2 \times Var(X)$

Var(S) = $18^2 \times 4^2$

          = 5184

Variance of S = 5184

The standard deviation equals square root of 5184 = 72

4 0
2 years ago
Find the surface area of the right prism. Round to the nearest whole number.
andriy [413]

Answer:

\large\boxed{S.A.=96\ cm^2}

Step-by-step explanation:

We have:

(1) two trapezoids with bases b₁ = 7cm and b₂ = 5cm and the height h = 4cm

(2) three rectangles 3 cm × 7 cm, 3 cm × 4 cm and 3 cm × 5 cm.

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

Substitute:

A=\dfrac{7+5}{2}\cdot4=24\ cm^2

Calculate the areas of the rectangles:

A_1=(3)(7)=21\ cm^2\\\\A_2=(3)(4)=12\ cm^2\\\\A_3=(3)(5)=15\ cm^2

The Surface Area:

S.A.=(2)(24)+21+12+15=96\ cm^2

5 0
2 years ago
If (fx)=25-x^ and (gx)=x+5 what is f/g (x)
Zina [86]
F(x) is 25-x^
But x is being squared, cubed or what. What is the exponent of x.
3 0
3 years ago
If ex + e*-1= 2, then x =..
lianna [129]

<em>Note: Your equation seems a little unclear. But, I am assuming that your equation is:</em>

e^x\:+\:e^{-1}=\:2

<em>Because my solution would still clear your concept about this topic, no matter what the question is.</em>

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

e^x\:+\:e^{-1}=\:2

subtract e^{-1} from both sides

e^x+e^{-1}-e^{-1}=2-e^{-1}

e^x=2-\frac{1}{e}

\ln \left(e^x\right)\:=\ln \:\left(2-\frac{1}{e}\right)

\:x\cdot ln\left(e\right)=\ln \:\:\left(2-\frac{1}{e}\right)

\:x\cdot 1=\ln \:\left(2-\frac{1}{e}\right)       ∵ \:\:\ln \left(e\right)=1

x=\ln \:\left(2-\frac{1}{e}\right)    

x=0.5

8 0
2 years ago
Continue on with the sequence in this problem<br> 12,9,6,3
Lapatulllka [165]

Answer:

The sequence continually decreases.

Step-by-step explanation:

It has gone from:

12    to    9   to   6    to   3    

 |_____| |____|  |_____|

     -3          -3          -3

The pattern here is that the sequence is continually decreasing by 3.

So the continued pattern would be:

12, 9, 6, 3, 0

If you wanted to go to the negatives:

0, -3, -6, -9, -12, and so on.

I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

<u></u>

5 0
3 years ago
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