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e-lub [12.9K]
3 years ago
12

How do you create a restriction for √z + 8=13 ?

Mathematics
2 answers:
Zinaida [17]3 years ago
6 0
√z = 13 - 8
√z = 5
z = 5²
z = 25
In this case the z can be any number, however z cannot be less than 0 and that is the restriction. (for example; √-1 = irrational number, cannot be solved.)
igor_vitrenko [27]3 years ago
4 0

I found this on the internet I hope it helps

√z = 13 - 8
√z = 5
z = 5²
z = 25

its on the answer key xD

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Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?
tekilochka [14]

Answer:

3.5 inches

Step-by-step explanation:

create a proportion:

inches / miles = inches / miles

let 'x' = distance in inches

<u>1/4</u> = <u> x </u>

18    252

18x = 252(1/4)

18x = 63

x = 63 / 18

x = 3.5

5 0
2 years ago
Q3. Stefan has 4 1/2 cups of oats. He uses 3 1/4 cups to make granola bars for
AleksAgata [21]

Answer:

Days can Stefan feed

Coco with the oats he has left is 5 days

Step-by-step explanation:

Total Oats = 4 1/2 cups

He uses 3 1/4 cups to make granola bars for

a camping trip

Remaining oats after making granola bars = Total oats - oats used for granola bars

= 4 1/2 - 3 1/4

.= 9/2 - 13/4

= 18-13/4

= 5/4 cups

Remaining oats after making granola bars is 5/4 cups

Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed

Coco with the oats he has left?

Days can Stefan feed

Coco with the oats he has left = Remaining oats / 1/4 cups

= 5/4 cups ÷ 1/4 cups

= 5/4 × 4/1

= 20/4

= 5 days

Days can Stefan feed

Coco with the oats he has left is 5 days

5 0
3 years ago
High Points!!!
Karo-lina-s [1.5K]

Answer:

A

Step-by-step explanation:

5 0
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Can someone pls graph this for me ? ( just screenshot and use the marker tool to graph)
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2 years ago
Use the "rule of 72" to estimate the doubling time (in years) for the interest rate, and then calculate it exactly. (Round your
Law Incorporation [45]

Answer:

According to the rule of 72, the doubling time for this interest rate is 8 years.

The exact doubling time of this amount is 8.04 years.

Step-by-step explanation:

Sometimes, the compound interest formula is quite complex to be solved, so the result can be estimated by the rule of 72.

By the rule of 72, we have that the doubling time D is given by:

D = \frac{72}{Interest Rate}

The interest rate is in %.

In our exercise, the interest rate is 9%. So, by the rule of 72:

D = \frac{72}{9} = 8.

According to the rule of 72, the doubling time for this interest rate is 8 years.

Exact answer:

The exact answer is going to be found using the compound interest formula.

A = P(1 + \frac{r}{n})^{nt}

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

So, for this exercise, we have:

We want to find the doubling time, that is, the time in which the amount is double the initial amount, double the principal.

is double the initial amount, double the principal.

A = 2P

r = 0.09

The interest is compounded anually, so n = 1

A = P(1 + \frac{r}{n})^{nt}

2P = P(1 + \frac{0.09}{1})^{t}

2 = (1.09)^{t}

Now, we apply the following log propriety:

\log_{a} a^{n} = n

So:

\log_{1.09}(1.09)^{t} = \log_{1.09} 2

t = 8.04

The exact doubling time of this amount is 8.04 years.

4 0
3 years ago
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