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Maru [420]
2 years ago
9

 Simplify: 2k– 3k+ 3k ​

Mathematics
2 answers:
Sonbull [250]2 years ago
7 0

Step-by-step explanation:

2k - (3k - 3k) = 2k

please give me a brainliest answer

barxatty [35]2 years ago
3 0

Answer:

2k

Step-by-step explanation:

Because all the values in our equation have the same variable, k, we can simply combine them.

We can begin with the first part of the equation:

2k - 3k

As you can see, we have to subtract, so 2 - 3 = -1, therefore, our answer right now is :

-1k, or -k

Now, we add on our other part of the equation:

-1k + 3k

We have to add now, so -1 + 3, which is the same as 3 - 1, equal 2. So, our most simplified form of this number sentence is:

2k

Hope this helps :)

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Thirty students in the fifth grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Green
Mars2501 [29]

Answer:

No, the events "brown hair" and "brown eyes" are not  independent.

Step-by-step explanation:

The table that represents the  hair and eye colors of thirty students of the fifth grade are given in table as:

                         Brown hair          Blonde hair              Total

Green eyes           9                       6                               15

Brown eyes          10                       5                              15

Total                     19                        11                             30

No, the events  "brown hair" and "brown eyes" are not independent.

Since, two events A and B are said to be independent if:

P(A∩B)=P(A)×P(B)

where P denotes the probability of an event.

Here we have:

A= students having brown hair.

B= students having brown eyes.

A∩B= students having both brown hair and brown eyes.

Now,

P(A)=19/30  (ratio of addition of first column to the total entries)

P(B)=15/30  ( ratio of addition of second row to the total entries)

Also,

P(A∩B)=10/30

Now as:

P(A∩B) ≠ P(A)×P(B)

Hence, the two events are not independent.

8 0
2 years ago
What is the scale factor?
fiasKO [112]
The scale factor is 5/3

9(5/3) = 15
7 0
3 years ago
Read 2 more answers
How would you solve
harkovskaia [24]

4r^-3 * 2r^2 =

4*(2r^(-3+2))

= 4*2r^-1

= 4*2(1/r)

= 4*(2/r)

=8/r

4 0
3 years ago
The fox population in a certain region has a continuous growth rate of 6 percent per year. It is estimated that the population i
riadik2000 [5.3K]

Answer

a)

P(t) = 19100. e^{0.06t}

b) P(8) =30866

Step-by-step explanation

Use formula:

P(t) = P. e^{rt}

a)

Here, P = 19100

r = 6% = 0.06

P(t) = 19100. e^{0.06t}

b) t = 2008 - 2000 = 8

P(8) = 19100. e^{0.06\times 8}

P(8) = 19100. e^{0.48}

P(8) = 19100\times 1.616\\\\P(8) = 30,865.6\\\\P(8) \approx 30,866

6 0
2 years ago
Show all work and reasoning
Natalija [7]
Split up the interval [2, 5] into n equally spaced subintervals, then consider the value of f(x) at the right endpoint of each subinterval.

The length of the interval is 5-2=3, so the length of each subinterval would be \dfrac3n. This means the first rectangle's height would be taken to be x^2 when x=2+\dfrac3n, so that the height is \left(2+\dfrac3n\right)^2, and its base would have length \dfrac{3k}n. So the area under x^2 over the first subinterval is \left(2+\dfrac3n\right)^2\dfrac3n.

Continuing in this fashion, the area under x^2 over the kth subinterval is approximated by \left(2+\dfrac{3k}n\right)^2\dfrac{3k}n, and so the Riemann approximation to the definite integral is

\displaystyle\sum_{k=1}^n\left(2+\frac{3k}n\right)^2\frac{3k}n

and its value is given exactly by taking n\to\infty. So the answer is D (and the value of the integral is exactly 39).
8 0
3 years ago
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