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Viktor [21]
3 years ago
7

20 points, Brainliest, thanks and 5 stars.

Mathematics
2 answers:
mel-nik [20]3 years ago
6 0
11 1/8
Explanation
The answer comes out to 11.125 however in mixed number form it’s 11 1/8
Anettt [7]3 years ago
6 0

Answer:

11 and 1/8

Step-by-step explanation:

We can do this in the format of PEMDAS

Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction

10 + <u><em>(2 × 3</em></u>)^{2} ÷ 4 × \frac{1}{2} ^{3}

Let's do the parenthesis first

10 + 6^{2} ÷ 4 ×<u><em> </em></u>\frac{1}{2} ^{3}<u><em> </em></u>

Now we can do the fraction with the exponent second

10 +<u><em> </em></u>6^{2}<u><em> </em></u>÷ 4 ×  \frac{1}{8}

Now we can do the other exponent

10 + <u><em>36 ÷ 4</em></u> × \frac{1}{8}

Now we can divide the 36 and 4

10 + <u><em>9 × </em></u>\frac{1}{8}<u><em> </em></u>

Now we can multiply the 9 and  \frac{1}{8}

10 + \frac{9}{8}<u><em></em></u>

And we can convert the improper fraction to a mixed number

10 + 1 1/8

And now we can add them up, the 2 whole numbers and the fraction stays the same

11 1/8

Hope this helped!

Have a supercalifragilisticexpialidocious day!

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3 years ago
Simplify a^2-3a/a^3-8a^2+12a to lowest terms
svetoff [14.1K]

In order to simplify a fraction, we have to find a common factor in both numerator and denominator. So, let's start by factor the expressions completely: at the numerator we have

a^2-3a = a(a-3)

At the denominator we have

a^3-8a^2+12a = a(a^2-8a+12) = a(a-2)(a-6)

So, the fraction can be written as

\dfrac{a(a-3)}{a(a-2)(a-6)}

You can see that there is a factor a in common, that can be simplified:

\dfrac{a(a-3)}{a(a-2)(a-6)} = \dfrac{a-3}{(a-2)(a-6)}

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What is 3.2 m converted to centimeters?
Allushta [10]
3.2 m converted to centimeters is 320. So meters converted to centimeters is multiplied by 100. Ex.) 10m converted to centimeter is 1000.
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4 0
3 years ago
The volume of a cylinder is 40 f3. Which expression represents the volume of a cone with the same base and height as
riadik2000 [5.3K]

Answer:

Option (3)

Step-by-step explanation:

Volume of the cylinder = 40 ft³

Since, volume of a cylinder is given by the expression,

V = \pi r^{2}h

Here, r = radius of the circular base

h = Height of the cylinder

40 = \pi r^{2}h

h=\frac{40}{\pi r^2} ------(1)

Volume of a cone = \frac{1}{3}\pi r^{2} h

By substituting the value of 'h' from equation (1)

Volume of the cone = \frac{1}{3}\pi r^{2}(\frac{40}{\pi r^{2} } )

                                 = \frac{1}{3}(40) ft³

Therefore, Option (3) will be the correct option.

6 0
3 years ago
The torque required to remove bolts in a steel plate is rated as very high, high, average, and low, and these occur about 30%, 4
Diano4ka-milaya [45]

Answer:

0.004

Step-by-step explanation:

If two events A, B with probabilities P(A), P(B) are independent, then the probability of the two events ocurring at the same time A∩B is P(A)P(B).

In this case we have

P(torque=very high) = 0.3

P(torque=high) = 0.4

P(torque=average) = 0.2

P(torque=low) = 0.01

Using the product rule, we see there are

\frac{25!}{7!8!6!4!}=4.4172*10^{12}

ways of partitioning 25 bolts in groups of 7,8,6 and 4 bolts.

Each one of those partitions has a probability of

(P(torque=very high))^7*(P(torque=high))^8*(P(torque=average))^6*(P(torque=low))^4= (0.3^7)*(0.4^8)*(0.2^6)*(0.1^4)=9.1729*10^{-16}

So, the probability of rating 7 very high, 8 high, 6 average, and 4 low is

4.4172*10^{12}*9.1729*10^{-16}=0.004

5 0
4 years ago
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