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3 years ago

Can somebody help me? Thank you!

Mathematics

2 answers:

Agata [3.3K]3 years ago

7 0

Answer:

SAS = SAS

Step-by-step explanation:

I hope this helps you out!

JulsSmile [24]3 years ago

4 0

Answer:

SAS

Step-by-step explanation:

I think, been a while since I did this but you have side angle side so I'm pretty sure not 100 percent

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The population of a community is known to increase at a rate proportional to the number of people present at time t. The initial

xxTIMURxx [149]

Step-by-step explanation:

Let the initial population of a community be P0 and the population after time t is P(t).

If the population of a community is known to increase at a rate proportional to the number of people present at time t, this is expressed as:

$P(t) = P_0e^{kt}$

at t = 5 years, P(t) = 2P0

substitute:

$2P_0 = P_0e^{5k}\\2 = e^{5k}\\ln2 = lne^{5k}\\ln2 = 5k\\k = \frac{ln2}{5}\\k = 0.1386$

If the population is 9,000 after 3 years

at t = 3, P(t) = 9000

a) Substitute into the formula to get P0

$9000 = P_0e^{0.1386\times 3}\\9000 = P_0e^{0.4158}\\9000 = 1.5156P_0\\P_0 = \frac{9000}{1.5156}\\ P_0 = 5938.24$

Hence the initial population is approximately 5938.

b) In order to know how fast the population growing at t = 10, we will substitute t = 10 into the formula as shown:

$P(10) = 5938.24e^{0.1386(10)}\\P(10) = 5938.24e^{1.386}\\P(10) = 5938.24(3.9988)\\P(10) = 23,745.97$

Hence the population of the community after 10 years is approximately 23,746

4 0

4 years ago

How do you solve √125÷√5

nordsb [41]

$\bf \sqrt{125}\div \sqrt{5}\implies \cfrac{\sqrt{125}}{\sqrt{5}}\qquad \begin{cases} 125=&5\cdot 5\cdot 5\\ &5^2\cdot 5 \end{cases}\implies \cfrac{\sqrt{5^2\cdot 5}}{\sqrt{5}} \\\\\\ \cfrac{5~~\begin{matrix} \sqrt{5} \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{~~\begin{matrix} \sqrt{5} \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies 5$

8 0

3 years ago

What is the probability of rolling a 4 on a six sided dice?<br> 1/3<br> 5/6<br> 1/6<br> 1/2

stira [4]

Answer:

1/6

Step-by-step explanation:

there are six numbers and you are hoping to get a single specific number making it 1/6

6 0

3 years ago

4 1/3 into a fraction

katrin [286]

I think you have to make 4 1/3 into an improper fraction that is 13/1 because 4*3=12 12+1=13. Then you divided 13/1(on a calculator you get a decimal) your will be 1 3/11

6 0

3 years ago

Read 2 more answers

“Two lines which are parallel must have positive slopes”. Explain why you believe this is true or false

shutvik [7]

Answer: This is false.

Step-by-step explanation:

A linear equation is an equation of the shape.

y = ax + b

where a is the slope, and b is the y-axis intercept.

Two different linear equations are parallel if their slopes are the same, in this case b will define the distance between our two parallel lines.

We do not have any implication on the sign of a, but let's prove this:

Two lines f and g are parallel if there does not exist a value x1 such:

f(x1) = g(x

suppose that f(x) = -ax + b

g(x) = -ax + c

where b and c are different numbers (because if b and c are equal, we have that g(x) and f(x) represent the same line)

Now suppose that x1 exists, let's prove that this is absurd.

f(x1) = -ax1 + b = -ax1 + c = g(x1)

b = c

this is absurd, then x1 does not exist and f(x) and g(x) are parallel.

So you can see that the sign of the slope does not matter.

Then the statement is false

5 0

4 years ago