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2 years ago

How do I simplify 9^7 × 9^2?

Mathematics

1 answer:

almond37 [142]2 years ago

5 0

Answer: 420

387420489

Step-by-step explanation:

9^7: 4782969

9^2: 81

81 x 47 = 387420489

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Which fraction is equivalent to negative 1/6? 6/-1 -6/1 -6/-1 1/-6

Anna71 [15]

Answer:

-1/-6

Step-by-step explanation:

1/6 is equivalent to-1/-6

7 0

3 years ago

2.Solve the following quadratic equations i. 9x^2 - 1/16 ii. 2h^2 - 3h - 27

Juli2301 [7.4K]

$i)~9x^2-\dfrac{1}{16}=0\iff9x^2=\dfrac{1}{16}\iff x^2=\dfrac{1}{9\cdot16}\iff \\\\x^2=\dfrac{1}{144}\iff x=\pm\sqrt{\dfrac{1}{144}}=\pm\dfrac{1}{12}\Longrightarrow\boxed{x=\pm\dfrac{1}{12}}$

$ii)~2h^2-3h-27=0\\\\\Delta=b^2-4ac\to \Delta=(-3)^2-4\cdot2\cdot(-27)\to\Delta=9+216=225\\\\
\Longrightarrow h=\dfrac{-b\pm\sqrt{\Delta}}{2a}=\dfrac{-(-3)\pm\sqrt{225}}{2\cdot2}=\dfrac{3\pm15}{4}\\\\\begin{cases}h_1=\dfrac{3+15}{4}=\dfrac{18}{4}\iff \boxed{h_1=\dfrac{9}{2}}\\h_2=\dfrac{3-15}{4}=\dfrac{-12}{4}\iff\boxed{h_2=-3}\end{cases}$

4 0

3 years ago

Question 3 of 10

Arisa [49]

The answer is -3 !

Explanation:

Please give brainliest

8 0

3 years ago

Chantelle has 23 cookies. She gives 3 3/6 to her friend Emily how many does she have now

malfutka [58]

3 3/6 is the same as 3 1/2, so 23 take 3 is 20. 20 take 1/2 is 19 1/2.

3 0

3 years ago

A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the stu

Salsk061 [2.6K]

Answer:

The value is $P(A | W) = 0.941$

Step-by-step explanation:

From the question we are told that

The probability that the student knows the answer to the question is $P(A) = 0.8$

The probability that that the student will guess is $P(G) = 0.2$

The probability that that the student get the correct answer given that the student guessed is $P(W /G) = 0.25$

Here W denotes that the student gets the correct answer

Generally it a certain fact that if the student knows the answer he would get it correctly

So the probability the the student got answer given that he knows it is

$P(W | A) = 1$

Generally from Bayes theorem we can mathematically evaluate the probability that the student knows the answer given that he got it correctly as follows

$P(A | W) = \frac{ P(A) * P(W | A )}{ P(A) * P(W | A) + P(G) * P(W| G)}$

=> $P(A | W) = \frac{ 0.8 * 1}{ 0.8 * 1+ 0.2 * 0.25}$

=> $P(A | W) = 0.941$

4 0

3 years ago