April has four different basil plants and four different tomato plants. In how many ways can she arrange the plants in a row if she puts all the tomato plants next to each other?

Answers

Answer 1
Answer:

The total no. of different arrangements of plants is 5!=120.

Concept of Permutation

Suppose if we had 4 plants, then the total no. of different ways through which it can be arranged in a row is 4!=4.3.2.1

{This simply means first position has 4 options, second has 3 options and so on}

Now In this question, considering the given condition there are :

4 different basil plants and 1 group(4 tomato plants) {As they need to stay together}

So there are 5 different entities

Therefore the total no. of arrangements are 5!=5.4.3.2.1

Therefore in 120 different ways she can arrange given plants in a row.

To practice more such problems refer:brainly.com/question/2141779

#SPJ2

Answer 2
Answer: well you have to multiply 4 times 4 because you have 4 tomatoe plants and 4 basil plants so you just multiply 4×4

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ALGEBRA HELP !!!!! Which of the following is the simplest form of this expression? —photo attached

Answers

\displaystyle \frac{ \sqrt[5]{a^4}}{ \sqrt[3]{a^2}}= \frac{a^{(4)/(5)}}{a^{(2)/(3)}}=a^{(4)/(5)- (2)/(3)}=a^{(12-10)/(15)}=\boxed{a^{(2)/(15)}}

Answer is: A. a^(2/15)

Illustrate how you can determine whether two lines are parallel or perpendicular. Write an equation for a graph parallel to the line graphed below, and an equation with a graph perpendicular to the line graphed. Explain.

Answers

parallel questions are aligned from each other while perpendicular are intersecting

Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 162 = 2(x + k)(x − k)(x + 9)

k= ____________

Answers

Answer:

Step-by-step explanation:

Alright, lets get started.

2x^3 + 18x^2 -18x -162 = 2(x+k)(x-k)(x+9)

2(x+k)(x-k)(x+9) =2x^3 + 18x^2 -18x -162

2(x^2-k^2)(x+9)=2x^3 + 18x^2 -18x -162

2(x^3+9x^2-k^2 x+9k^2)=2x^3 + 18x^2 -18x -162

2x^3 + 18x^2 -2k^2x+18k^2= 2x^3 + 18x^2 -18x -162

comparing both sides

2k^2 =18

k^2=9

k=3

hence answer is k = 3(plus/minus)   :  Answer

Hope it will help :)

Your Answer:

k = 3

Hope this helps y'all :)

150 adults complete a survey.80 are women.
Write the ratio

in its simplest form.

Answers

150: 80 = 1 7/8 hope u have a blessed day

Answer:

7:8

Step-by-step explanation:

150 adults complete a survey.

80 are women

therefore 70 are male (150-80)

the ration would be 7:8

16/8 into a mixed number

Answers

ok well the answer will be 2 because 8+8=16 and 8 can go into 16 2 times.
the answer is 
2/1 
because 8 times 2 is 16 and if  you divide 16 by 8 u will get 2 and 8 divided by 8 is 1

Any help is appreciated!

Answers

Answer:

pretty sure is the first one

Step-by-step explanation:

-1/2x +3 =3x -4