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3 years ago

Find the slope of the line

Mathematics

2 answers:

Elza [17]3 years ago

7 0

It is zero *more characters to fulfill answer requirements*

egoroff_w [7]3 years ago

3 0

Answer:

10??? sorrybi have no idea

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Helpppppppppppppppppppp

Lelechka [254]

Answer:

30:1

Step-by-step explanation:

1. Look at the graph and follow along the lines.

2. When x is 1 in hours then cakes are 30.

3. So we can write the ratio from cakes to hours.

4. The ratio is 30:1.

5 0

3 years ago

Convert to the given unit. 3 T=___lb

damaskus [11]

Answer:

1 ton is equal to 2000 lbs

To find how many lbs is 3 tons, multiply 2000 by 3

2000 times 3 is 6000

So, 3 T = 6000 lbs

Hope I helped!

3 0

3 years ago

Tacoma's population in 2000 was about 200 thousand, and had been growing by about 9% each year. a. Write a recursive formula for

KIM [24]

Answer:

a) The recurrence formula is $P_n = \frac{109}{100}P_{n-1}$ .

b) The general formula for the population of Tacoma is

$P_n = \left(\frac{109}{100}\right)^nP_{0}$ .

c) In 2016 the approximate population of Tacoma will be 794062 people.

d) The population of Tacoma should exceed the 400000 people by the year 2009.

Step-by-step explanation:

a) We have the population in the year 2000, which is 200 000 people. Let us write $P_0 = 200 000$ . For the population in 2001 we will use $P_1$ , for the population in 2002 we will use $P_2$ , and so on.

In the following year, 2001, the population grow 9% with respect to the previous year. This means that $P_0$ is equal to $P_1$ plus 9% of the population of 2000. Notice that this can be written as

$P_1 = P_0 + (9/100)*P_0 = \left(1-\frac{9}{100}\right)P_0 = \frac{109}{100}P_0$ .

In 2002, we will have the population of 2001, $P_1$ , plus the 9% of $P_1$ . This is

$P_2 = P_1 + (9/100)*P_1 = \left(1-\frac{9}{100}\right)P_1 = \frac{109}{100}P_1$ .

So, it is not difficult to notice that the general recurrence is

$P_n = \frac{109}{100}P_{n-1}$ .

b) In the previous formula we only need to substitute the expression for $P_{n-1}$ :

$P_{n-1} = \frac{109}{100}P_{n-2}$ .

Then,

$P_n = \left(\frac{109}{100}\right)^2P_{n-2}$ .

Repeating the procedure for $P_{n-3}$ we get

$P_n = \left(\frac{109}{100}\right)^3P_{n-3}$ .

But we can do the same operation n times, so

$P_n = \left(\frac{109}{100}\right)^nP_{0}$ .

c) Recall the notation we have used:

$P_{0}$ for 2000, $P_{1}$ for 2001, $P_{2}$ for 2002, and so on. Then, 2016 is $P_{16}$ . So, in order to obtain the approximate population of Tacoma in 2016 is

$P_{16} = \left(\frac{109}{100}\right)^{16}P_{0} = (1.09)^{16}P_0 = 3.97\cdot 200000 \approx 794062$

d) In this case we want to know when $P_n>400000$ , which is equivalent to

$(1.09)^{n}P_0>400000$ .

Substituting the value of $P_0$ , we get

$(1.09)^{n}200000>400000$ .

Simplifying the expression:

$(1.09)^{n}>2$ .

So, we need to find the value of $n$ such that the above inequality holds.

The easiest way to do this is take logarithm in both hands. Then,

$n\ln(1.09)>\ln 2$ .

So, $n>\frac{\ln 2}{\ln(1.09)} = 8.04323172693$ .

So, the population of Tacoma should exceed the 400 000 by the year 2009.

8 0

3 years ago

Read 2 more answers

What is 1.208 rounded to the nearest hundredth

rusak2 [61]

Answer:

The answer is 1.21.

Step-by-step explanation:

The hundredth digit in 1.208 is 0, so you have to look at the number after that to either round 0 up or down. The number after 0 is 8. Since 8 is bigger than 5, you round 0 up by 1.

I hope this was clear!

5 0

3 years ago

How would I turn 0.46 into a fraction

Pepsi [2]

Step 1: 0.46 = 46⁄100
Step 2: Simplify 46⁄100 = 23⁄50 hope this helped u

6 0

3 years ago

Read 2 more answers