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3 years ago

Combine like terms to create an equivalent expression -3k - (-8) + 2

Mathematics

2 answers:

miss Akunina [59]3 years ago

6 0

Answer:

-3k +10

Step-by-step explanation:

Khanacademy got it right

Nadusha1986 [10]3 years ago

3 0

Answer:

-3k +10

Step-by-step explanation:

-(-8) = +8

8+2+10

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Deon drove 408 miles using 16 gallons of gas. At this rate, how many miles would he drive using 11 gallons of gas?

Vladimir [108]

280.5 miles. you have to divide 408 by 16 than multiply the answer by 11

8 0

4 years ago

Find the area of a regular hexagon whose apothem is 1.7cm and a side length is 2cm

tia_tia [17]

Answer: 10.2 cm^2

Step-by-step explanation:

A regular hexagon is composed of 6 regular triangles whose area is equal to half of the product of the apothem and side.

A - triangle = (1/2)(a)(s) = (1/2)(1.7 cm)(2 cm) = 1.7 cm²

Multiplying this area by 6 to get the area of the hexagon gives us the answer which is 10.2 cm².

7 0

3 years ago

Karen is starting a career as a professional wildlife photographer and plans to photograph Canadian Geese at one of the staging

balandron [24]

Answer:

$5000*0.816 = $4082

Step-by-step explanation:

It's a strange question, but based on the statement and the question it sounds like it's a poisson distribution:

* For 3 days she was able to get 2 good shots (<em>typical of that time of the year</em>)

* Good shots happen randomly

* Each day is independent of another

Let's call 'p' the probability that she makes a good shot per day

Let's call 'n' the number of days Karen is taking shots.

So, if in 3 days he got 2 good shots and that is typical at that time of the year, then the expected value for the number of good shots (X) is:

$E(x)=\frac{2}{3}$

For a Poisson distribution $E (x)=\lambda\\\lambda= np$

So:

$\lambda =\frac{2}{3}$

For a Poisson distribution the standard deviation is:

$\sigma = \sqrt{\lambda}\\\sigma = \sqrt{\frac{2}{3}}$

$\sigma = 0.816$ this is the standard deviation for the number of buentas taken.

So the standard deviation for income is the price of each shot per sigma

$5000*0.816 = $4082, which is the desired response.

3 0

3 years ago

What is 47% of $118 dollars

djyliett [7]

Change 47% into a decimal which is 0.47 then multiply it by 118
0.47*118= 55.46
so 47% of $118 is $55.46

5 0

3 years ago

A parabola passes through the points (-2,8), (0,2), and (1,5). What function does the graph represent?

zheka24 [161]

ANSWER

$y = 2 {x}^{2} + x + 2$

EXPLANATION

Let the function that represent the graph be:

$y = a {x}^{2} + bx + c$

The parabola passes through the points (-2,8), (0,2), and (1,5).

These points must satisfy the function.

For (-2,8), we have

$8= a{( - 2)}^{2} + b( - 2) + c$

This implies that that,

$4a - 2b + c = 8...(1)$

For (0,2), we have,

$2= a{( 0)}^{2} + b( 0) + c$

This implies that,

$c = 2$

For (1,5), we have

$5= a{( 1)}^{2} + b( 1) + c$

This implies that,

$a + b + c = 5...(2)$

Put c=2 into equation (1) and (2).

$4a - 2b + 2 = 8$

$4a - 2b = 8 - 2$

$4a - 2b = 6$

$2a - b = 3...(3)$

$a + b + 2=5$

$a + b =5 - 2$

$a + b = 3...(4)$

Add equation (3) and equation (4)

$3a = 6$

$a = 2$

Put a=2 into equation (4).

$2 + b = 3$

$b = 3 - 2 = 1$

Therefore the function is

$y = 2 {x}^{2} + x + 2$

5 0

4 years ago