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Which statements go in boxes 2 and 3?

What is the proof for boxes 3 and 4?

Answer:

[tex]V(x)=4x^3-112x^2+720x[/tex]

Step-by-step explanation:

[tex](36-2x)(20-2x)x[/tex]

[tex](720-72x-40x+4x^2)x[/tex]

[tex](4x^2-112x+720)x[/tex]

[tex]4x^3-112x^2+720x[/tex]

Therefore, the resulting volume would be [tex]V(x)=4x^3-112x^2+720x[/tex]

Answer:

y = -6/5x+56/5

Step-by-step explanation:

Answer:

umm i think its A/B

Step-by-step explanation:

Answer:

√49 < √56 < √64

Step-by-step explanation:

√56 = 7.4833....

7x7 = 49

8x8 = 64

√49 < √56 < √64

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:

Step-by-step explanation:

Given :-

To Find :-

Solution :-

The given triangle is a right isosceles triangle . So here we can use the Pythagoras theorem as ,

[tex]\longrightarrow[/tex] hypotenuse² = perpendicular ² + base²

[tex]\longrightarrow[/tex] x² = 4² + 4²

[tex]\longrightarrow[/tex] x² = 16 + 16

[tex]\longrightarrow[/tex] x² = 32

[tex]\longrightarrow[/tex] x = √32

[tex]\longrightarrow[/tex] x = √2⁵

[tex]\longrightarrow[/tex] x = 4 × 1.732

[tex]\longrightarrow[/tex] x = 6.928 ≈ 7

Answer:

y = 35 degrees

Step-by-step explanation:

y + 55 = 90

(subtract 55 from both sides)

y = 35

Answer:

64 ft

Step-by-step explanation:

A square has to be equal on all 4 sides for it to be considered a square. Considering that it is 8 feet on one side it would be 8 feet on all the others as well. From there you multiply 8*8 and receive the solution of 84 feet for the area of the garden.

Answer:

0.964

0.959

0.961

0.958

0.963

Step-by-step explanation:

Anything below 5 can be rounded down, anything above 5 can be rounded up.

You can have a decimal after 0.96 to be less than 5, or a decimal after 0.95 to be greater than 5.

Here's some I picked:

0.964

0.959

0.961

0.958

0.963

Answer: 240 gumdrops

Step-by-step explanation:

1 house: 15 gumdrops

16 houses : 240 gumdrops

1 x 16 = 16

15 x 16 = 240

Answer:

Rational.

Step-by-step explanation:

-5 times √121

= -5 * 11

=-55

Rational.

Answer:

2.2, 2.2061, 2.406, and 2.46

Answer:

A

Step-by-step explanation:

8/6 is also 1 1/3.

(assuming she doesn't include herself in the distribution).

Answer:

It would be the 12 pack of cola for 2.64

Step-by-step explanation:

2.64/12 = 0.22

5.52/24 = 0.23

1.35/6 = 0.225

Round 0.225 = 0.23

Answer:

[tex]Understand \: how \: to \: work \: with \: negative \: bases \\ \: and \: negative \: exponents. \\

\bold{answer - } \\ {5}^{2} = 5 \times 5 = 25 \\ {5}^{ - 2} = \frac{1}{ {5}^{2} } = \frac{1}{25} = 0.04 \\ {( - 5)}^{2} = ( - 5) \times ( - 5) = 25 \\ - {5}^{2} = ( - 5) \times ( - 5) = 25 \\ \\ \bold \purple{hope \: it \: helps \: ♡}[/tex]

Answer:

Step-by-step explanation:

Let q represent the number of quarters, and d represent the number of dimes.

  0.25q +0.10d = 4.20 . . . . . the value of the coins

  q = 2d . . . . . . . . . . . . . . . the relation between the numbers of coins.

__

Additional comment

Using substitution, the equation simplifies to ...

  0.60d = 4.20

  d = 7

  q = 14

Note that the coins can be grouped into groups of 2 quarters and 1 dime. The value of the group is $0.60, and the number of dimes is equal to the number of groups. Thinking about the problem in this way gets you immediately to the single equation 0.60d = 4.20.

Answer:

36n + 18

Step-by-step explanation:

6 * 6n = 36n

6 * 3 = 18

36n + 18 = 36n + 18

Answer:

36n+18

Step-by-step explanation:

6(6n+3)

(6×6n)+(6×3)

36n+18

But if you want it simplifed, you can divide both 36n and 18 by 18 and you will be left with 2n+1

Answer:

23°

Step-by-step explanation:

Opposite angles so:

60° = 2x + 14

Therefore:

x = 23°

Answer:

x is 23°

Step-by-step explanation:

those opposite angles and are always equal to each other...so to get x take 60-14 then answer divide by two

Answer:

x = 20°

Step-by-step explanation:

OA = OB

so 140°+x°+x° = 180°

140+2x = 180

2x = 40

x = 20°

3. The original sequence

TAC - CGC - TTA - CGT - CTG - ATC - GCT

codes for

tyr - arg - leu - arg - leu - ile - ala

while the mutated sequence codes for

TAC - CGC - TTA - TTA - TTA - CGT - GCT - GCT - ATC - GCT

tyr - arg - leu - leu - leu - arg - ala - ala - ile - ala

There are several frameshift mutations involved here:

• the first inserts 6 bases (TTA - TTA)

• the second inserts 1 base (G) before the CTG triplet (underlined)

• the third inserts 2 bases (CT) after the CTG triplet

4. The original sequence is the same as before. The mutated sequence

TAC - CGC - TAA - TTA - TTA - CGT - GCT - GCT - ATC - GCT

codes for

tyr - arg - STOP - leu - leu - arg - ala - ala - ile - ala

Then

• there is a (nonsense) point mutation that swaps T for A in the original TTA triplet (nonsense since it produces a stop codon that would halt replication/expression)

• there is a frameshift mutation that inserts 3 bases (TTA)

as well as two other frameshift mutations that also occurred in the previous part.

Answer:

Step-by-step explanation:

Use the slope formula to solve this problem. Slope, usually called m, is the change in y-values over the change in x-values.

m = (y2 - y1)/(x2 -x1)

It actually doesn't matter which point is the first point and which point is the second point. But you must be consistent.

So fill in -3/2 for the m

Let your (6, b) be your (x1, y1)

Let (-2, 4) be your (x2, y2)

So, the numbers fill into the formula like so:

-3/2 = (4 - b)/ (-2 - 6)

-3/2 = (4 - b)/(-8)

Multiply -8 on both sides of the equation.

(-8)(-3/2) = 4 - b

12 = 4 - b

Subtract 4 from both sides.

Don't lose the negative in front of the b

8 = -b

Multiply or divide by -1 on both sides.

-8 = b This is the answer.

**note: Its kinda crummy to use b in this equation, because b has a special meaning when you are working with linear equations. They should have given you a different variable. b usually stands for the y-intercept but in this problem it doesn't, it's just a variable representing an unknown value.

Answer:

30

Step-by-step explanation:

14×2=28

28+2=30

i hate riddles

Answer:

[tex]x > -3[/tex]

Step-by-step explanation:

Isolate the variable. Treat the < sign like an equal sign, in that what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, subtract 60 from both sides of the equation:

-15x + 60 (-60) < 105 (-60)

-15x < 45

Next, divide -15 from both sides of the equation. Note that when you multiply or divide a negative number, you must flip the sign:

(-15x)/-15 < (45)/-15

x < 45/(-15)

x > -3

[tex]x > -3[/tex] is your answer.

~

Answer:

2, 4, 5, 6, 7, 8

Step-by-step explanation:

The number 2 is not a factor of 9. The correct option is D.

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor in mathematics.

The given number is 9.

To find the factor of 9:

Number m that evenly divides another number 9.

In simple words, when we divide the number 9 by a number m.

We should get a whole number.

From the options,

9/1 = 9

9/3 = 3

9/9 = 1

9/2 = 4.5

Therefore, the number 2 is not the factor of 9.

To learn more about the factor;

https://brainly.com/question/18187355

#SPJ2

The complete question is:

Which of the following is not a factor of 9?

Options:

1 , 3, 9, 2.

Step-by-step explanation:

the greatest common factor (GCF) is 7.

it is 9×7, 7×7 and 11×7.

so the total number of pencils is

7×(9 + 7 + 11) = 7×27 = 189

If a system has at least one solution, it is said to be consistent . If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line.