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Rzqust [24]
3 years ago
7

-x^2 = - 36 (solve using inverse operations)

Mathematics
1 answer:
Oksanka [162]3 years ago
8 0

Answer:

x = ±6

Step-by-step explanation:

-x^2 = - 36

Divide each side by -1

x^2 = 36

Take the square root of each side

sqrt(x^2) = sqrt(36)

x = ±6

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A particular Spotify playlist contains 105 songs, of which 10 are by the Beatles. Suppose the shuffle feature is used to play th
katovenus [111]

Answer: The required probability is 0.3296.

Step-by-step explanation:

Since we have given that

Number of songs = 105

Number of songs are by the Beatles = 10

So, Number of songs are not by the Beatles = 105-10=95

So, the probability that the first Beatles song heard is the fifth song played is given by

\dfrac{^{95}C_4\times ^{10}C_1}{^{105}C_5}\\\\=0.3296

Hence, the required probability is 0.3296.

8 0
3 years ago
write about which method you prefer to use to divide by 5 counting up, counting back on a number line, or dividing by 10, and th
maria [59]

Answer:

In First method : counting up, counting back on a number line,

If we want the quotient after dividing the number by 5 then we count how many 5 we get from 0 to the dividend.

For example :  \frac{30}{5}

Since, from 0 to 30 there are six 5's obtained. ( because 5 × 6 = 30 )

Thus,  \frac{30}{5}=6

In Second Method : dividing by 10, and then doubling the quotient.

First we divide the number by 10 then multiply the quotient by 2.

For Example: \frac{30}{5}

Since, \frac{30}{10}=3

2\times 3 = 6

Thus, \frac{30}{5}=6

Now, when we compare the above methods then we conclude that for the smaller numbers first method is appropriate because for small numbers we can easily count total 5's from 0. While for large numbers Second method is appropriate because it is hard to count the total 5's for the large number.


4 0
3 years ago
Read 2 more answers
(-x2y3)*(12xy3)<br>(-2xy2)3​
Leokris [45]
Assuming the numbers are exponents expect the coefficient of 2, top expression, -12x^3y^6, multiply bottom
and= 72x^4y^8
4 0
3 years ago
Two vertical poles of length 10 and 12 ​feet, respectively, stand 17 feet apart. A cable reaches from the top of one pole to the
Marat540 [252]

Answer:

L=\sqrt{x^{2}+100}+\sqrt{x^{2}-34x+433} ft

Step-by-step explanation:

let length of calble = L

distance from 10-foot pole = x ft

Moving from the top of the 10-foot pole to point x, we have

From the diagram that

x^{2} +10^{2}=L_{1} ^{2}  \\x^{2} + 100 = L_{1} ^{2}

Take the square root of both sides

\sqrt{x^{2}+100}=\sqrt{L_{1} ^{2}}\\  \sqrt{x^{2}+100}= L_{1}

Moving from point x to the top of the 12-foot pole, we have

From the diagram that

(17-x)^{2}+12^{2}=L_{2} ^{2}   \\289-34x+x^{2} +144=L_{2} ^{2}\\x^{2} -34x+433=L_{2} ^{2}

Take the square root of both sides

\sqrt{x^{2}-34x+433}=\sqrt{L_{2} ^{2}}  \\\sqrt{x^{2}-34x+433}=L_{2}

Amount of cable used, L = L1 + L2

L=\sqrt{x^{2}+100}+\sqrt{x^{2}-34x+433}

3 0
3 years ago
Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
natita [175]

Answer:

Step-by-step explanation:

-3x - 5 = 16

add 5 to both sides of the equation

-3x = 21

divide both sides by -3

x = -7

---------------------

-4(y - 2) = 12

distribute the -4 to everything in the parentheses

-4y + 8 = 12

subtract 8 from both sides of the equation

-4y = 4

divide both sides of the equation by -4

y = -1

8 0
3 years ago
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