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3 years ago

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Population density is the number of people per unit of area. The population density of a certain region is 65 people per square

kilometer. If the region covers 23 square kilometers What is thw population?

1 answer:

nadya68 [22]3 years ago

6 0

So take 65 x 23 = 1,495 people

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Solve each equation (quadratic pattern)

dusya [7]

Answer: x = 2

<u>Step-by-step explanation:</u>

$2^{2x}-2^x-12=0\\\\\text{Let u = }2^x\\\\u^2-u-12=0\\(u-4)(u+3)=0\\\\u-4=0\quad and\quad u+3=0\\u=4\qquad and\quad u=-3\\\\\text{Substitute u with }2^x\\2^x=4\qquad and \quad 2^x=-3\\2^x=2^2\quad and\quad \text{not possible}\\\boxed{x=2}$

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Answer: x = 0

<u>Step-by-step explanation:</u>

$3^{2x}+3^{x+1}-4=0\\\\3^{2x}+3^x\cdot3^1-4=0\\\\\text{Let u = }3^x\\u^2+3u-4=0\\\\(u+4)(u-1)=0\\\\u+4=0\quad and\quad u-1=0\\u=-4\qquad and\quad u=1\\\\\text{Substitute u with }3^x\\3^x=-4\qquad and\quad 3^x=1\\\text{not possible}\ and\quad 3^x=3^0\\.\qquad \qquad \qquad \qquad \boxed{x=0}$

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Answer: No Solution

<u>Step-by-step explanation:</u>

$4^x+6\cdot 2^x+8=0\\\\2\cdot 2^x+6\cdot 2^x+8=0\\\\\text{Let u = }2^x\\2u+6u+8=0\\8u+8=0\\8u=-8\\u=-1\\\\\text{Substitute u with }2^x\\2^x=-1\\\text{not possible}$

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Answer: No Solution

<u>Step-by-step explanation:</u>

<u> $9^x=3^x-6\\\\3\cdot 3^x=1\cdot 3^x-6\\\\\text{Let u = }3^x\\\\3u=u-6\\2u=-6\\u=-3\\\\\text{Substitute u with }3^x\\3^x=-3\\\text{not possible}$ </u>

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6 0

3 years ago

Intellectual development (Perry) scores were determined for 21 students in a first-year, project-based design course. (Recall th

Anit [1.1K]

Answer:

The 99% confidence interval is (3.0493, 3.4907).

We are 99% sure that the true mean of the students Perry score is in the above interval.

Step-by-step explanation:

Our sample size is 21.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 21-1 = 20$ .

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 20 and 0.005 in the two-sided t-distribution table, we have $T = 2.528$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{0.40}{\sqrt{21}} = 0.0873$

Now, we multiply T and s

$M = 2.528*0.0873 = 0.2207$

Then

The lower end of the interval is the mean subtracted by M. So:

$L = 3.27 - 0.2207 = 3.0493$

The upper end of the interval is the mean added to M. So:

$LCL = 3.27 + 0.2207 = 3.4907$

The 99% confidence interval is (3.0493, 3.4907).

Interpretation:

We are 99% sure that the true mean of the students Perry score is in the above interval.

7 0

3 years ago

(0,4), (1,0), (2,0), (2,3), (3,1) is it a function

Anni [7]

Vas happenin!!

A proper function is when the x value is NOT repeating

This choice is repeating X’s. So it’s not a function

Hope this helps

-Zayn Malik

5 0

2 years ago

Helphelphelphelphelphelphelphelp

solniwko [45]

Answer:

Step-by-step explanation:

the areas are the same, the outer squares of Q are the ones missing in the center

7 0

1 year ago

Write 4^3 – 6x + 2^5 + 3 in standard form please

lara31 [8.8K]

Answer:

2^5 + 4^3 – 6x + 3

Step-by-step explanation:

Order the numbers by decreasing exponents. Start with the 2^5, since it has an exponent of 5. Next is the 4^3 since it has an exponent of 3. After that is -6x since it has an exponent of 1. 3 is last because it has an exponent of 1 and it has no variables attached.

If this answer is correct, please make me Brainliest!

8 0

3 years ago

Read 2 more answers