Can someone please help me?

Answer:

a) 4 to the 14th power

b) 12 to the 9th power

c) 5 to the 7th power

d) 7 to the 3rd power

Step-by-step explanation:

a) [tex]4^{6}[/tex] · [tex]4^{8}[/tex] equals 4 to the 14th power.

Using the Product Rule of Exponents:

[tex]a^{m} a^{n} = a^{m+n}[/tex]

You could add the exponents since they have the same base.  

b) [tex]12^{6}[/tex] · [tex]12^{3}[/tex]  equals 12 to the 9th power.

Same Product Rule applies as we did in problem a).

c) [tex]\frac{5^{10} }{5^{3} }[/tex]  equals 5 to the 7th power.

Using the Quotient Rule of Exponents:

[tex]\frac{a^{m} }{a^{n} } = a^{m - n}[/tex]

You'll have to subtract the exponents since they have the same base.

[tex]\frac{5^{10} }{5^{3} } = 5^{10 - 3} = 5^{7}[/tex]

d) [tex]\frac{7^{6} }{7^{3} }[/tex]  equals 7 to the 3rd power.

Same Quotient Rule applies as we did in problem c).

[tex]\frac{7^{6} }{7^{3} } = 7^{6 - 3} = 7^{3}[/tex]

9514 1404 393

Answer:

  vertical

Step-by-step explanation:

A rational function often tends to infinity when its denominator tends to zero. Thus the zeros of the denominator correspond to vertical asymptotes.

i'm thinking infinitely.

i'm not 100% sure maybe someone else may correct me .

Answer:

m:3/2 b:0 or 1

Step-by-step explanation:

I believe its asking what the m and b is in this formula: mx+b

so 3/2 and 0 or 1?

Answer:

in Y = mX + b

in relation to Y = -3/2X + 0

m = -3/2

b = 0.

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

Explanation:

There are 5 choices for the first selection, 4 choices for the second, etc etc until we reach 1 for the last selection. We have the countdown {5,4,3,2,1}. We'll multiply those values together to get our answer.

5*4*3*2*1 = 120

This operation of starting with some integer, counting down and multiplying along the way, is done so very often that it's given a name which is "factorial". The shorthand notation is to use an exclamation mark. So we'd say 5! = 120

Answer:

popcorn 3.29$

popcorn + 15 pack juice = 27.14$

Step-by-step explanation:

15 pack juice= 27.14-3.29

15 pack juice=23.85

pack of juice=23.85/15

pack of juice=1.59$

The equation that shows the cost of each bottle of juice is 15j + 3.29 = 27.14 and the cost of each juice is $1.59

An equation is an expression that shows the relationship between two or more numbers and variables.

Let j represent the cost of each bottle of juice. The total cost before tax was $27.14, hence:

15j + 3.29 = 27.14

j = 1.59

The equation that shows the cost of each bottle of juice is 15j + 3.29 = 27.14 and the cost of each juice is $1.59

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Answer:

Copper

Explanation:

Copper would be beacuse it's non-toxic, it's antimicrobial, it's rustproof, and it is affordable.

Answer:

it is use a calculator and type 60 divided by .4

Answer:

24% or just 24

Step-by-step explanation:

if wrong pls forgive me

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Answer:

area = l x 5l + 2

Step-by-step explanation:

area equals length times 5 times the length plus two

The expression for the area will be equal to x(5x + 2).

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Flowerbed A has length x feet and width that is two feet more than five times its length

Lenght = x

width = 5x + 2

Area =  L x W

Area = x ( 5x + 2 )

Area = 5x² + 2x

Therefore, the expression for the area will be equal to x(5x + 2).

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rate = 3l/minute÷60 = 0.05l/s

t = 450s

capacity = ?

rate = c/t

c = rate*t

c = 0.05*450

c = 22.5litres.

c = 22500ml

Answer:

20 chocolate cookies

Step-by-step explanation:

7 +5 + 8 + x = 40

7+5+8= 20 cookies non chocolate

subtract 20 from both sides

40-20= 20 chocolate cookies

Answer:

1) 2/5

b) 5/2

2) C

3) 1/3

4) X = - 3/2

5) middle right left

Answer:

2 AIF3... synthesis

Step-by-step explanation:

WELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLL

Perpendicular lines are lines that meet at 90 degrees.

Diagram (D) shows the first step of constructing the perpendicular line.

To draw a perpendicular line, the first step is to draw two points equidistant to the point at which the perpendicular line will pass.

Assume that the point is P.

The following points represent the position of the two points

                                .   P   .

The diagram that shows this representation is (d)

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Answer:

-3,n²,-n,14

Step-by-step explanation:

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Answer:

20%

Step-by-step explanation:

25 divided by 5 = 5

Convert to decimal

0.20

Convert to percentage

20%

Answer:

20%

Step-by-step explanation:

25 divided by 5=5

convert to decimal

0.20

convert to percentage

20%

Answer:

The answer to this question is -3.142

Answer:

there are 40% black ball a

white ball we don't know

so, we let = x

40\100 × x

now we cutting

ans is 10x

Answer:

4,800

Step-by-step explanation:

40% of 12000 = 4800

Answer:

(6x-8)-(-2x-10)

4x-18

Answer:

Step-by-step explanation:

a)  Sum = - 6

Product = - 16

Factors = (-8) ; (2   {-8 + 2 = -6  ; (-8) * 2 = -16}

y = x² - 6x - 16

     = x²  + 2x - 8x - 16

     = x(x + 2) - 8(x + 2)

    = (x +2)(x -8)

b) y = 0

(x +2 )(x -8) = 0

x + 2 = 0  ;   x -  8 = 0

x = -2       ;  x = 8

(-2) ; 8 are the zeros.

Answer:

10 cups

Step-by-step explanation:

1 quart=4 cups

Answer:

2.11

2.04+0.07=2.11

Answer:

2.11

Step-by-step explanation:

2.04 + 0.07

2.11

Solved using: Math

Answer:

4.19$

Step-by-step explanation:

If 12 gallons cost 50.28$

then 1 gallon would be (50.28/12)$

which equals to 4.19$

The Teddy's jobs at home is to pump gas for his family's sedan and truck the cost of gas of one gallon is:

=> The unit rate is:

=> $4.19 per gallon

We have the following information available from the question is:

One of Teddy's jobs at home is to pump gas for his family's sedan and truck.

When he fills up the sedan with 12 gallons of gas, he notices that it costs him $50.28.

Now, According to the question:

The cost of gas of one gallon is:

=> The unit rate is:

50.28/12

=> $4.19 per gallon

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Answer:

2

Step-by-step explanation:

You can fit two groups of 3/8. 3/4 is equivalent to 6/8. 3/8 goes into 6/8 two times therefore the answer is two groups of 3/8.

9514 1404 393

Answer:

  m ≥ -√5

Step-by-step explanation:

If g(x) = f(|x|) for x∈i, then g(x) = f(x) for x∈ℝ: x ≥ 0.

f'(x) is 5th-degree, so f(x) is 6th-degree, meaning it is generally U-shaped. Since we're only concerned with x ≥ 0, we want to make sure f'(x) has no real zeros of odd multiplicity such that x > 0. The given factors of f'(x) make it have real zeros at x = -3 and x = -1.

For the last factor, (x² +2mx +5) to have no positive real zeros of odd multiplicity, we must have m ≥ 0 or the discriminant ≤ 0. The discriminant is ...

  d = b² -4ac = (2m)² -4(1)(5) = 4m² -20 . . . . . discriminant of the last factor

  d ≤ 0 . . . . . . . . . . the condition for no real zeros

  4m² -20 ≤ 0

  m² -5 ≤ 0 . . . . . . divide by 4

  m² ≤ 5 . . . . . . . . .add 5

  |m| ≤ √5 . . . . . . . take the square root

This tells us there will be a positive real zero of multiplicity 2 in f'(x) when m = -√5, and there will be no positive real zeros for -√5 < m < 0

There will be no odd-multiplicity positive real zeros in the derivative function f'(x) as long as m ≥ -√5. This means the slope of f(x) is non-negative for x ≥ 0, hence f(|x|) has its only minimum at x=0.

_____

Additional comment

The multiplicity of the zeros of f'(x) is important because the derivative will only change sign where the multiplicity is odd. When the discriminant of (x²+2mx+5) is zero, the associated positive real zero will have multiplicity 2, hence f'(x) will not change sign there.

Step-by-step explanation:

if 2 sides are equal which means it is an Isosceles triangle

so,

→ 52 + 52 + c = 180

→ 104 + c = 180

→ c = 180 - 104

→ c = 76°

d = 52°

hope this answer helps you dear! take care and may u have a great day!