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3 years ago

Using Order of Operations (PEMDAS), solve the following two expressions. Show all steps.

Mathematics

2 answers:

aksik [14]3 years ago

8 0

Answer:

Multiple: 3 * 5 = 15

Add: 7 + the result of step No. 1 = 7 + 15 = 22

Divide: 4 / 2 = 2

Subtract: the result of step No. 2 - the result of step No. 3 = 22 - 2 = 20

Add: the result of step No. 4 + 3 = 20 + 3 = 23

Add: 7 + 3 = 10

Multiple: the result of step No. 1 * 5 = 10 * 5 = 50

Divide: 4 / 2 = 2

Subtract: the result of step No. 2 - the result of step No. 3 = 50 - 2 = 48

Add: the result of step No. 4 + 3 = 48 + 3 = 51

mart [117]3 years ago

4 0

9514 1404 393

Answer:

a) 23

b) 26

Step-by-step explanation:

a) Perform the multiplication and division first, then the addition.

7 + 3·5 -4÷2 +3

= 7 +15 -2 +3

= 23

b) Evaluate parentheses first, then the rest of it. The multiplication and division are done before the addition at the same level.

((7 +3)·5 -4)÷2 +3

= (10·5 -4)÷2 +3

= (50 -4)÷2 +3

= 46÷2 +3

= 23 +3

= 26

_____

<em>Additional comment</em>

An appropriate calculator can evaluate these for you. The Go.ogle calculator reliably follows the order of operations. You can use an asterisk (*) for multiplication with that calculator.

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Every year, a town surveys the size of its wetland ecosystems. This equation estimates the total wetland area, in acres, over ti

nignag [31]

Answer:

When t=10, the town is predicted to have around 443 acres of wetlands.

At one time, the town had 740 acres of wetlands.

The wetland area in the town decreases by 5% per year.

Step-by-step explanation:

Given

$f(t) = 740 * (0.95)^t$

Required

The true statements

$(a)\ f(10) = 443$

We have:

$f(t) = 740 * (0.95)^t$

Substitute 10 for t

$f(10) = 740 * (0.95)^{10$

$f(10) = 443$

<em>Hence, (a) is true</em>

$(b)\ f(t) = 740$

We have:

$f(t) = 740 * (0.95)^t$

Substitute 740 for f(t)

$740 = 740 * (0.95)^t$

Divide through by 740

$1 = 0.95^t$

Express 1 as 0.95^0

$0.95^0 = 0.95^t$

Cancel out the bases

$0 = t$

$t = 0$

Hence, the area had 740 acres initially;

(b) is true

$(c)\ r = 5\%$

We have:

$f(t) = 740 * (0.95)^t$

Using the general formula

$f(t) = a * b^t$

By comparison:

$b = 0.95$

0.95 < 1 means that:

$b = 1 - r$ --- where r = rates

$0.95 = 1 - r$

Collect like terms

$r = 1 - 0.95$

$r = 0.05$

Express as percentage

$r = 5\%$

Hence, (c) is true

$(d)\ f(10) = 492$

In (a)

$f(10) = 443$

Hence, (d) is false

$(e)\ r = 95\%$

In (c)

$r = 5\%$ ---- decrement

Hence, (e) is incorrect

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Answer:

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Step-by-step explanation:

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The confidence interval of a statistical data can be written as.

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