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The number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways

Find the image attached. From the figure, we can see that there are 6 rows in the array.

If there are 20 tomato plants, the ways Molly can arrange the tomato plants in an array is expressed according to the permutation formula:

20P6 = 20!/(20-6)!

20P6 = 20!/14!

20P6 =  20 * 19 * 18 * 17 * 16 * 15

20P6 = 27,907,200

Hence the number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways

Learn more on permutation formula here: https://brainly.com/question/12468032

Answer:

$0.10

Step-by-step explanation:

Answer:

x=4 && x=1

Step-by-step explanation:

x^2 - x - 4x + 4=0

x(x-1) - 4(x - 1)=0

(x-4)(x-1)=0

X=4 and x=1

All real values of $x$ such that $x²-5x + 4=0$ will be x=4 and x=1.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the quadratic equation is, x²-5x+4=0

Any equation of form ax²+bx+c=0  where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

We have to find the value of x as,

x²-5x + 4=0

x² - x - 4x + 4=0

x(x-1) - 4(x - 1)=0

(x-4)(x-1)=0

X=4 and x=1

Thus, all real values of $x$ such that $x²-5x + 4=0$ will be x=4 and x=1.

Learn more about the equation here,

https://brainly.com/question/10413253

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Answer:

2a(7b+5)

Step-by-step explanation:

yeah-ya....... right?

Answer:

This is the arithmetic sequence which has a common difference that equals to -4.

Step-by-step explanation:

An arithmetic sequence is a sequence with common difference. A common difference can be found by subtracting previous term with next term.

A common difference can be expressed in [tex]\displaystyle \large{d=a_{n+1}-a_n}[/tex] where d stands for common difference.

________

Moving to the question given. We have a sequence with given 15,11,7, ... first subtract 15 with 11.

11-15 = -4

7-11 = -4

Therefore, we can conclude that the common difference is -4 thus making the given sequence an arithmetic.

Let me know if you have any question so regarding the sequence!

Answer:

yes they are proportional

Answer:

y=-8

Step-by-step explanation:

y-y1=m(x-x1)

y-(-8)=0(x-6)

y+8=0

y=0-8

y=-8

Answer:

f(g(2)) = 29

Step-by-step explanation:

First of all we write the new function defined as the composite function of f and g: f(g(x)) = 3(5x+1) - 2 = 15x + 3 - 2 = 15x -1

Now we can simply "plug in" 2 instead of the x in the function we just obtained: f(g(2)) = 15*2 - 1 = 29

Answer:

-11/20

Step-by-step explanation:

[tex]\frac{1}{5} - \frac{3}{4} = \frac{?}{?}[/tex]

first you want to get a common denominator (number on the bottom)

[tex]\frac{4}{20} - \frac{15}{20} = \frac{?}{?}[/tex]

now you can subtract the numerators (number on tope) (also don't touch bottom)

[tex]it ~equals = -\frac{11}{20} ~~because ~4-15 ~is -11[/tex]

Answer:

i think r would be the same as q

Step-by-step explanation:

I believe it's an isosceles triangle, if there were a line going down the center,  each half should be symmetrical, so q and r are the same angle.

Answer:

32.5

Step-by-step explanation:

A triangle's angles add up to 180 degrees

(2x+15)+x+(x+35)=180

x=32.5

Step-by-step explanation:

it is 50 km in total.

30 km are already covered by the initial rental amount (4000).

what is left is 50-30 = 20 km.

for these 20 km he has to pay 200 for every 5 km.

how many 5 km units are in 20 km ?

well, 20/5 = 4

so, he needs to pay additionally 200×4 = 800php.

therefore, the total cost will be

4000 + 800 = 4800php

The question is cut off.

Answer:

The product of two irrational numbers will not be irrational.

Step-by-step explanation:

Answer:

The product of two irrational numbers will not be irrational.

Step-by-step explanation:

12. x= 4

13. x= 4

14. x= -1

Check the steps in the picture above

Answer: If angle A is congruent to angle E

Answer:

70°

Step-by-step explanation:

Size of angle a = (180°-40°) ÷ 2 (angle sum of triangle; base angles of isos triangle)

                         = 140° ÷ 2

                         = 70°

Answer:

a + 40° = 180°

a t40°-40° =180°- 40°

a = 140°

Step-by-step explanation:

isosceles add up to 180°

Answer:

i think BC = 8.5

Step-by-step explanation:

19-(2+6.5+2)

19-10.5

8.5

Answer:

20+h = 46

Step-by-step explanation:

it doesn't ask to solve it so that's the answer

Answer :-

• 46 is the sum of 20 and Han's savings. .

Then it says that to write the equation in this sentence .

• Use the variable h to represent Han's savings.

Work Shown:

1.45*270 = 391.50

The multiplier 1.45 represents a 45% increase

Think of it as 1.45 = 1+0.45 = 100% + 45%

Answer:

391.5

Step-by-step explanation:

the 45% of $270 is $121.5

Answer:

   6.70

+26.87

 33.57

Step-by-step explanation:

Couldn't explain sorry

-hope it helps

Answer:  -0.65 approximately

Work Shown:

[tex]\log_{9}(0.24) = \frac{\log(0.24)}{\log(9)}\\\\\log_{9}(0.24) = \frac{\log(0.03*8)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3*10^{-2}*2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)+\log(10^{-2})+\log(2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)-2\log(10)+3\log(2)}{2\log(3)}\\\\\log_{9}(0.24) \approx \frac{0.477-2*1+3*0.301}{2*0.477}\\\\\log_{9}(0.24) \approx \frac{-0.62}{0.954}\\\\\log_{9}(0.24) \approx -0.649895\\\\\log_{9}(0.24) \approx -0.65\\\\[/tex]

Answer:

13 miles is the greatest whole number of miles she can go.

Step-by-step explanation:

37-3=34

$5 for 2 miles

34/5 = 6 remainder 4

that is 12 miles. But since she still has 4 dollars left, she can go another mile. so, 12 +1 = 13

hope this helps :)

Answer:   [tex]56y^2m[/tex]

which is the same as writing 56y^2m

====================================================

Explanation:

Let's focus on the coefficients 8 and 7 for now.

To find the LCM of those values, list out the multiples. Circle the smallest number that can be found in both sets at the same time.

We see that 56 is the LCM of 7 and 8.

Or you could use this shortcut

LCM = (x*y)/GCF

where x and y are the two numbers. The mention of "GCF" refers to the GCF of x and y. In this case, the GCF is 1 so,

LCM = (x*y)/GCF = (8*7)/1 = 8*7 = 56.

----------------------

Once we determine that, we look at the variable terms now.

The y^2 and m will be tacked onto the 56 to arrive at the final answer 56y^2m

This is because y and m are the unique variables, and we go for the highest exponent of each. It's similar to the LCM formula used earlier.

Answer:

f(7) = -196

Step-by-step explanation:

f(7) = -3(7)² - 7(7)

-147 - 49

-196

Answer:

It has no solution because, 14x cancels out -14x when you move the variables to the left and leaves the equation as 0 = -12, however we know that 0 does not equal -12 which means this solution is false; therefore this equation has no solution since 0 does not equal -12.

Step-by-step explanation:

5 - 4x - 7 - 10x = -8x - 4 - 6x - 10 (Given)

-2 - 14x = -14x - 14 (Combine like terms)

0 = -12 (Move variables(x) to the left and the constants to the right)

Answer:

x-intercept(s):  (−1.9900717,  0)

y-intercept(s): (0, 52.5)

Step-by-step explanation:

To find the x-intercept, substitute in  [tex]0[/tex]  for  [tex]y[/tex]  and solve for  [tex]x[/tex]. To find the y-intercept, substitute in  [tex]0[/tex] for [tex]x[/tex] and solve for [tex]y[/tex] .

[tex]f(x)=y[/tex]

[tex](x)=x[/tex]

x-intercept

To find the x-intercept(s), substitute in  [tex]0[/tex]  for  [tex]y[/tex]  and solve for  [tex]x[/tex] .

[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]

[tex]=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)[/tex]

[tex]=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10[/tex]

[tex]=0=10x^3-80x^2+170x-105\left(x-5\right)[/tex]

[tex]=0=10x^3-80x^2+65x+525[/tex]

[tex]=10x^3-80x^2+65x+525=0[/tex]

[tex]=10x^2-99.90071\dots x+263.80959\dots \approx \:0[/tex]

[tex]\bold{x\approx \:-1.99007\dots}[/tex]

y-intercept

[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]

[tex]=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)[/tex]

[tex]=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)[/tex]

[tex]=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)[/tex]

[tex]=y=0-0+0-\left(-52.5\right)[/tex]

[tex]=0-0+0+52.5[/tex]

[tex]\bold{y=52.5}[/tex]