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2 years ago

What is the area of this?

Mathematics

1 answer:

Vanyuwa [196]2 years ago

6 0

$area = lw \\ area = (7.5)(6) \\ area = 45 {feet}^{2}$

$area = \frac{1}{2} bh \\ area = \frac{1}{2} (6)(4) \\ area = \frac{1}{2} (24) \\ area = 12 {feet}^{2}$

total area = 45 + 12

total area = 57 feet²

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X= -5 y=2 work out the VALUE if 3x + 4y

Orlov [11]

3(-5) + 4(2)
= -15 + 8
= -7

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2 years ago

Read 2 more answers

(a) The probability that an automobile being filled with gasoline will also need an oil change is 0.35; the probability that it

cricket20 [7]

Answer:

0.714 ; 0.556 ; (A1 n A2 n A3) = 0

Step-by-step explanation:

Given that :

P(oil) = 0.35

P(filter) = 0.45

P(oil n filter) = 0.25

P(filter | Oil) = P(oil n filter) / P(oil)

P(filter | Oil) = 0.25 / 0.35 = 0.714

11)

P(Oil | filter) = P(oil n filter) / P(filter)

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Number of red aces = 2

Queen or king = 4 + 4 = 8

Number on card greater than 3 and less than 8 = {4,5,6,7} = 4 card ; for 4 suits = 4 * 4 = 16

Total number of cards in deck = 52

Choosing without replacement :

Hence,

A1 = 2 / 52

A2 = 8 / 51

A3 = 16 / 50

(A1 n A2 n A3) ;this means card common to all three events.

However, (A1 n A2 n A3) = 0 because ;

1.) No red ace card is greater than 3 and less than 8.

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2 years ago

What is th difference in length between a 1 1/4 inch button and a 3/8 inch button

artcher [175]

Okay so 11/4 needs to be multiplied by 2 so that the D match up.

so 11/4 x 2 = 22/8

22/8 - 3/8 = 19/8

The difference is 19/8

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3 years ago

Walter invests $100,000 in an account that compounds interest continuously and earns 12%. How long will it take for his money to

prohojiy [21]

Answer:

$300000= 100000 e^{0.12 t}$

We divide both sides by 100000 and we got:

$3 = e^{0.12 t}$

Now we can apply natural logs on both sides;

$ln(3) = 0.12 t$

And then the value of t would be:

$t = \frac{ln(3)}{0.12}= 9.16 years$

And rounded to the nearest tenth would be 9.2 years.

Step-by-step explanation:

For this case since we know that the interest is compounded continuously, then we can use the following formula:

$A =P e^{rt}$

Where A is the future value, P the present value , r the rate of interest in fraction and t the number of years.

For this case we know that P = 100000 and r =0.12 we want to triplicate this amount and that means $A= 300000$ and we want to find the value for t.

$300000= 100000 e^{0.12 t}$

We divide both sides by 100000 and we got:

$3 = e^{0.12 t}$

Now we can apply natural logs on both sides;

$ln(3) = 0.12 t$

And then the value of t would be:

$t = \frac{ln(3)}{0.12}= 9.16 years$

And rounded to the nearest tenth would be 9.2 years.

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3 years ago

Need help fast please with these 5 questions

Natali [406]

Answer:

16.....................................

6⁹*6ⁿ = 6¹²
6⁹⁺ⁿ = ¹²
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n = 3

17.....................................

7⁸/7ⁿ = 7³
7⁸⁻ⁿ = 7³
8 - n = 3
n = 5

18.....................................

15ⁿ = 1
15ⁿ = 15⁰
n = 0

19.....................................

1/10⁵ = 10ⁿ
10⁻⁵ = 10ⁿ
-5 = n
n = -5

20.....................................

(8²)ⁿ = 8¹²
8²ⁿ = 8¹²
2n = 12
n = 6

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2 years ago