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3 years ago

X to the -12 power=117 in logarithmic form?

Mathematics

1 answer:

mamaluj [8]3 years ago

6 0

Answer:

$\log x =\frac{\log 117}{-12}$ this should be what youre asking

Step-by-step explanation:

this is it

$x^{-12} =117\\ \log x^{-12} =\log 117\\ -12\log x=\log 117\\\log x =\frac{\log 117}{-12}$
if you want the answer
$\log x =\frac{\log 117}{-12}\\x =10^{\frac{\log 117}{-12}}\\x=0.6724363439$

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. Ravi plays a game in which he has to draw one ball from a box containing 3 Red, 4 white and 3 green balls. On drawing a white

Slav-nsk [51]

P(Ravi is rewarded Rs. 10) = 0.4

P(Ravi does not lose) = 0.7

P(Ravi pays a penalty) = 0.3

Step-by-step explanation:

Step 1 :

Probability of any event happening = Total number of favorable outcomes / Total number of outcomes

Step 2 :

(i) P (Ravi is rewarded Rs. 10) = P(Ravi selecting a white ball)

Total number of favorable outcomes = Total number of white balls = 4

Total number number of outcomes = 10

Probability of selecting a white ball = Total number of white balls/Total number of outcomes =4/10 = 0.4

Hence P (Ravi is rewarded Rs. 10) = 0.4

Step 3 :

(ii) P (Ravi does not lose)

Probability of Ravi not losing is probability of Ravi not selecting a Red ball [ because Ravi has to pay penalty only when he chooses red ball

P(Ravi selecting Red ball) = Total number of red balls/Total number of outcomes =3/10 = 0.3

Hence P (Ravi does not lose) = 1-0.3 = 0.7

Step 3 :

(iii)P (Ravi pays a penalty of Rs. 5)

P (Ravi pays a penalty of Rs. 5)= Ravi selecting a Red ball

P(Ravi selecting Red ball) = Total number of red balls/Total number of outcomes =3/10 = 0.3

Hence P (Ravi pays a penalty of Rs. 5) = 0.3

5 0

3 years ago

Please Help I DOn't Understand This Lesson

elena55 [62]

<u>Set up the composite function and simplify. </u>

f = 2x + 3,

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D. 134

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3 years ago

Reggie Jackson, one of the great baseball batters of modern times, was called Mr. October by his fans because he seemed to excel

tiny-mole [99]

Answer:

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

Step-by-step explanation:

Given the data in the question;

Null hypothesis H₀ : p = 0.262

Alternative Hypothesis H₁ : p > 0.262.

p" = 0.357

q = 1 - p = 1 - 0.262 = 0.738

n = 98

so;

z = (p" - p) / √(pq/n)

we substitute

z = (0.357 - 0.262) / √((0.262×0.738) / 98)

z = 0.095 / 0.04441869

z = 2.1387

at 5% CONFIDENCE INTERVAL

z-critical = 1.645

Since 2.1387 is Greater Than 1.645;

we reject null hypothesis; we conclude that, the nickname is justified based on the data.

4 0

3 years ago

Max spent $53 and now he has no money left.How much did max have before his purchase? Why?

posledela

Answer:

Step-by-step explanation:

If Max spent $53 and currently doesn't have anything left that means he had $53 before he made his purchase.

4 0

3 years ago

Read 2 more answers

Help please and thanks

STALIN [3.7K]

Answer:

Rate of change of length of shadow is $\frac{15}{7} ft/s$

Step-by-step explanation:

Consider the figure

We have

$\begin{aligned}&\frac{d x}{d t}=\text { rate of person walking } \\&\frac{d y}{d t}=\text { rate of change of shadow length } \\&\frac{d x}{d t}+\frac{d y}{d t}=\text { rate of change of tip of shadow }\end{aligned}$

$\begin{aligned}&\frac{6}{20}=\frac{y}{x+y} \\&6(x+y)=20 y \\&6 x+6 y=20 y \\&6 x=14 y\end{aligned}$

$6\left(\frac{d x}{d t}\right)=14\left(\frac{d y}{d t}\right)\\\\6(5)=14\left(\frac{d y}{d t}\right)\\\\\frac{30}{14}=\frac{d y}{d t}\\\\\frac{15}{7}=\frac{d y}{d t}\\\\$

Rate of change of length of shadow is $\frac{15}{7} ft/s$

8 0

2 years ago