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Aleksandr-060686 [28]
3 years ago
7

What is the value of the following expression 1.8 + 0.5(y + 6) - 2 t the power of 3 when y = 14?

Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Answer:

The value of given expression is 3.8.

Step-by-step explanation:

Given:

1.8+0.5(y+6)-2^3

We need to find the simplified value of given expression using y =14

Solution:

Now we will substitute y =14 we get;

1.8+0.5(y+6)-2^3\\\\1.8+0.5(14+6)-2^3

Now using PEDMAS we will first solve the parenthesis we get;

1.8+0.5\times20-2^3

Now we will solve the exponent function we get;

we know that;

2^3=8

So we can say that;

1.8+0.5\times20-8

Now we will solve the multiplication operation.

1.8+10-8

Now we will perform addition operation.

11.8-8

And finally we will perform subtraction operation.

3.8

Hence The value of given expression is 3.8.

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A California licence plate consists of a sequence of seven symbols: number, letter, letter, letter, number, number, number, wher
tino4ka555 [31]

Answer:

There is a 44.73% probability that all symbols are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

There are 26 total letters and 10 total digits.

The plate has the following format:

number, letter, letter, letter, number, number, number

Total outcomes

Each number can have 10 values.

Each letter can have 26 values.

There are four numbers and 3 letters.

So there are

10^{4}*26^{3} = 175760000 possible plates

Desired outcomes

We cannot have repeated values.

So, for example, the first number can be any of the 10 digits. The second can be any of them, bar the first one. So 9 possible digits

The same logic for the letters, 26, then 25, then 24.

So there are

10*26*25*24*9*8*7 = 78624000 plates in which all symbols are different.

(a) What is the probability that all symbols are different

P = \frac{78624000}{175760000} = 0.4473

There is a 44.73% probability that all symbols are different.

7 0
4 years ago
Brainliest and 20 points!!!!
denis23 [38]

Answer:

A

Step-by-step explanation:

The n th term ( explicit formula) for a geometric sequence is

f(n) = a(r)^{n-1}

where a is the first term and r the common ratio

Here a = 2 and r = - 8 ÷ 2 = - 4, thus

f(n) = 2(-4)^{n-1}

6 0
4 years ago
Please help. Need to understand it. At least give an answer.
cluponka [151]

Answer:

The asnwer is the first one:

Step-by-step explanation:

You do this

x = 3.242424242424

100x = 324.24242424242424242424

-x

= 329/99

3-24/99

3 8/33

3 0
3 years ago
Read 2 more answers
A projectile is fired at such an angle that the vertical
svetoff [14.1K]

(a) The projectile remains in the air for 10 seconds

(b) It travels a horizontal distance of 600 meters

Step-by-step explanation:

A projectile is fired at such an angle that

1. The vertical  component of its velocity is 49 m/sec

2. The horizontal  component of its velocity is 60 m/sec

We need to find:

(a) How long the projectile remains in the air

(b) The horizontal distance it travels

∵ The vertical distance y = u_{y} t - \frac{1}{2} g t², where

u_{y} is the vertical  component of its velocity, g is the acceleration

of gravity and t is the time

∵ y = 0 ⇒ it return to the same initial height

∵ u_{y} = 49 m/s

∵ g = 9.8 m/s²

- Substitute these values in the rule above

∴ 0 = 49 t - \frac{1}{2} (9.8) t²

∴ 0 = 49 t - 4.9 t²

- Take t as a common factor

∴ 0 = t (49 - 4.9 t)

- Equate each term by 0

∴ t = 0 ⇒ at initial position

∴ 49 - 4.9 t = 0

- Add 4.9 t to both side

∴ 49 = 4.9 t

- Divide both sides by 4.9

∴ t = 10 seconds

(a) The projectile remains in the air for 10 seconds

∵ The horizontal distance = u_{x} t, where u_{x} is the

   horizontal component of its velocity

∵ u_{x} = 60 m/sec

∵ t = 10 seconds

∴ x = 60 × 10 = 600 meters

(b) It travels a horizontal distance of 600 meters

Learn more:

You can learn more about the component of velocity in brainly.com/question/4464845

#LearnwithBrainly

3 0
3 years ago
For a-d, choose Yes or No to tell whether 3 is the greatest common factor of the terms in each expression.
lina2011 [118]

Answer:

1. no

2. no

3.  yes

4.  no

Step-by-step explanation:

6 0
3 years ago
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