The number line below is correctly represented by which of the following intervals?

The simplified value of the exponential expression [tex]16^4 ~and ~16^{17}[/tex]is:

65,536 and 36,893,488,147,419,103,232.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To simplify the exponential expressions, we can use the rule that states:

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

[tex]16^4[/tex]can be simplified as follows:

[tex]16^4[/tex] = 16 x 16 x 16 x 16

[tex]= (2^4) \times (2^4) \times (2^4) \times (2^4)[/tex]

(since 16 = 2^4)

[tex]= 2^{4+4+4+4}\\= 2^{16}\\= 65,536[/tex]

Therefore, [tex]16^4[/tex] simplifies to 65,536.

[tex]16^{17}[/tex] can be simplified as follows:

[tex]= 16^{17} = 16^{16} \times 16^1\\= (2^4)^{16 \times 2^1 }\\= 2^{4\times 16 \times 2^1}\\= 2^{64} \times 2^1\\= 2^{65}[/tex]

Therefore, [tex]16^{17}[/tex] simplifies to 36,893,488,147,419,103,232.

Thus,

The simplified value of the exponential expression [tex]16^4 ~and ~16^{17}[/tex]is:

65,536 and 36,893,488,147,419,103,232.

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Answer:

2131

Step-by-step explanation:

26×9=234

271×7=1897

234+1897=2131

The earthquake was a devastating one as its range is very high for the logarithm function.

We are given that:

M = log (A) - log (A₀) + c log (Δ)

where,

M = local magnitude of the earthquake

A = maximum amplitude in micrometers

A₀ = reference amplitude

c = calibration constant

Δ = distance in km between the seismograph and the epicenter

Now, we are given that:

M = 114370.61 ц m

A = ?

A₀ = 302 ц m

c = 2.76

Δ = 60 km

We have to find the maximum amplitude.

Substituting the values in the logarithm function, we get that:

9102 ц m = log (A) - log (302 ц m) + 2.76 log (60 km)

114370.61 ц m = log (A) - 2.48 + 2.76 (1.78)

114370.61 ц m = log (A) - 2.48 + 4.91

114370.61 ц m = log (A) + 2.43

log (A) = 114370.61 ц m - 2.43

log (A) = 114368.18 ц m

A = e¹¹⁴³⁶⁸°¹⁸ ц m

A = will come in the range 9 and over.

Therefore, the earthquake was a devastating one as its range is very high for the logarithm function.

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Answer:

K

Step-by-step explanation:

Well, P is quadrant 1

K is quadrant 2

M is quadrant 3

J is quadrant 4

Answer:

Quadrant II is letter K.

Hope this helps :)

The truth value of 5+6 = 11, then 11-6=5 is "T"

The first statement is  5 + 6 = 11 which is true .

Second statement is  11 - 6 = 5 which is also true .

From the table if both the statements are true then the truth value is "T" .

Hence, truth value of the given statement is T.

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10296 was the total number of votes in linear equation .

What in mathematics is a linear equation?

The ratio of yes votes to no votes =  8 : 5

the ratio is 8 to 5, the first step is to divide 6336 by 8. That results in 792.

Ratio of yes to no votes = 8 : 5  

total yes votes =  6336 yes

no of yes votes =  6336 / 8  =   792

no of no votes = 792 * 5 = 3960

Since the question is asking the total number of votes, we add the two results ( 3960+6336) which totals 10296.

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The way around the outside of the cabin is 50 meters

The given parameters are:

Length = 15 meters

Width = 10 meters

The way around the outside of the cabin is the perimeter and it is calculated as

Perimeter = 2 * (Length + Width)

So, we have

Perimeter = 2 * (15 + 10)

Evaluate

Perimeter = 50 meters

Hence, the way around the outside of the cabin is 50 meters

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Answer:1014$

Step-by-step explanation:796

                                           +214

                                           1014

Answer:

Hi!

[tex]x=5[/tex]

Step-by-step explanation:

[tex]9x-13+13=32+13\\9x=45\\\frac{9x}{9}=\frac{45}{9}\\=5[/tex]

Answer:

the answer is 5

Step-by-step explanation:

9 x 5 -13= 32

Answer: 20%

Step-by-step explanation:

1=100%

1/5=

100%/5=20%

Answer: 20 percent

Step-by-step explanation: how you college level and not know this one

After performing the simplification process we get the answer as 1052668 or 1.025668 × 10⁶

Some "fixing" difficulties involve simplifying. Parentheses and even nested grouping symbols can be found in some equations, just like they can in some expressions. Whether we're working with equations (so we're also solving), or expressions (and only simplifying), the simplification procedure is the same in both cases.

Given the expression is m 4(m² ₋ 2) and

the value of m = ₋513

substitute the value of m in the expression.

4 ×((₋513)² ₋ 2)

Determine the sign for radical or exponential expressions

4×(513² ₋ 2)

calculate the power.

4 × (263169 ₋ 2)

calculate the sum or the difference.

4 × 263167

after multiplication we get the answer as:

1052668

can also be written as 1.052668 × 10⁶

Hence we gained the desired result.

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Answer:

The answer is zero.

Step-by-step explanation:

5.5=-4.5

The statement is false.

Answer: 44

Step-by-step explanation:

[tex]3w^{2} -3w+8[/tex]

w=4

Plug 4 in for w.

[tex]3(4)^{2} -3(4)+8[/tex]

[tex]=3(16)-12+8[/tex]

[tex]=48-4\\=44[/tex]

Answer: The coordinate is with the weight of 2

The answer is 32

Step-by-step explanation:

you can figure it out

The length of the third part of the rope is 4 feet.

Given that A 48-feet rope is cut into three length. The second length of the rope is twice the first length. The third length of rope is one-fifth the first length

Let's assume the length of the 1st part is "x".

Then the length of the second part is "2x". and the length of the third part is "[tex]\frac{x}{5}[/tex]".

The total length of rope is 48 feet

⇒x+2x+[tex]\frac{x}{5}[/tex]= 48 feet

⇒3x+[tex]\frac{x}{5}[/tex]= 48 feet

⇒[tex]\frac{16x}{5}[/tex]= 48 feet

⇒ x= 20 feet.

Therefore, The length of the third part of the rope is 4 feet.

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The value of the angles in the triangle is as follows:

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore,

120 = ∠B + ∠C

∠B = 22x + 4

∠C = 15x + 5

120 = 22x + 4 + 15x + 5

120 = 22x + 15x + 4 + 5

120 - 9 = 37x

111 = 37x

divide both sides by 37

111 / 37 = x

x = 3

∠B = 22(3) + 4 = 66 + 4 = 70°

∠C = 15(3) + 5 = 45 + 5 = 50°

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Answer:

x = 3

b = 70

c = 50

Step-by-step explanation:

Find X:

= 3

(22x + 4) + (15x + 5) = 120

22x + 15x = 37

4 + 5 = 9

+9 -9= 0

120 - 9 = 111

111 / 37x = x = 3

Find the measure of angle B:

70

22x + 4

22(3) + 4

22 multiplied by 3 = 66

66 + 4 = 70

Find the measure of angle C:

50

15x + 5

15 (3) + 5

15 times 3 = 45

45 + 5 = 50

Whole worksheet is in the PDF :)

Step-by-step explanation:

X+10+4X-12=83

5X-2=83

+2. +2.

5X=85

÷. ÷

5. 5

X=17

Now you plug it in:

(17)+10= 27=ABC°

ABD°=83

4(17)-12= 56 = DBC°

ABD would be the total of ABC and DBC since it's basically those 2 combined.

There were 70 children in total.

A fraction represents a part of the whole. It comprises of a numerator and a denominator. For example- 3/4 is a fraction. 3/4th of a number means if the number is divided into 4 equal parts, then 3 parts out of these 4 ⇒ 3/4th of the number.

Here, we are given that a piñata spilled open and released 50 pounds of candy.

Each child scooped up 5/7 of a pound of candy.

Let the total number of children be X

Therefore, we will get the following equation-

(5/7) X = 50

X = 50 (7/5)

X = 10 × 7

X = 70

Thus, there were 70 children in all.

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Answer: ellens stick is 3 inches long you can find this out because you can multiply 3 times nine and it will give you 27 and then boom you have your answer

Step-by-step explanation:

Answer:

The answer is 3cm

Step-by-step explanation:

Length of Finn's stick=27cm

Length of Ellen's stick=n

Acc to given statement:

27=9n

n=27/9

n=3cm

So Ellen's stick is 3cm long

Consider the equation,

y = x + 5

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.

In equation y = x + 5, the graph y = x is shifted 5 units towards the negative x-axis.

To graph the equation we determine various points on the line.

When x = 0,

y = x + 5

y = 5

When y = 0,

y = x + 5

0 = x + 5

x = - 5

When x = - 1,

y = x + 5

y = - 1 + 5

y = 4

When x = - 2,

y = x + 5

y = - 2 + 5

y = 3

When x = - 3,

y = x + 5

y = - 3 + 5

y = 2

Therefore, the points on the line y = x + 5 are ( 0, 5), (- 5, 0), ( - 3, 2), ( -1, 4) and ( - 2, 3).

The final value is 6199.

Simplify:

(29 × 35) + (24 x 3)²

= 1015 +5184

=6199

In mathematics, simply or simplification is reducing the expression/fraction/problem  during a  simpler form. It makes  the matter  easy with calculations and solving.

Here are  the essential  steps to follow to simplify an algebraic expression:

Remove parentheses by multiplying factors.

Use exponent rules  to get rid of  parentheses in terms with exponents.

Combine like terms by adding coefficients.

Combine the constants.

Here's  differently  to explain it: The is used to refer to a specific or particular member of a group.  for instance , "I just saw  the foremost  popular movie of the year." There are many movies, but  just one  particular movie is the most popular.

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Answer:

A. d ≥ -2 3/10

Step-by-step explanation:

-5d + 5 1/2 ≤ 17

-5d + 11/2 ≤ 17

-5d ≤ 17 - 11/2

2(-5d) ≤ 2 × 17 - 2 × 11/2

2(-5d) ≤ 2 × 17 - 11

-10d ≤ 2 × 17 × 11

-10d ≤ 34 - 11

-10d ≤ 23

d ≥ -2 3/10

So A is the answer

Answer:

  a = 15/8

Step-by-step explanation:

You want the solution to the two-step linear equation ...

  -1/2 +1/3a = 1/8

When an equation involves fractions, it is often useful to clear fractions by multiplying the equation by their least common denominator. Here, that means we want to multiply the equation by 24.

  -12 +8a = 3 . . . . . . multiply the given equation by 24

  8a = 15 . . . . . . . . add 12

  a = 15/8 . . . . . . divide by the coefficient of the variable

The solution is a=15/8 or 1 7/8.

The number 1 is an unequal number because no whole number can make 1 for example, 2 + 2 does not make 1 but 4. In addition, only decimals can make 1 such as 0.5 + 0.5 = 1. So the number 1 is unequal to whole numbers but not decimals.

Answer:

Yes. The following number are uneven 1,3,5,7,9,ect..

And the following are even numbers 2,4,6,8,10,ect....

Step-by-step explanation:

Hope it helps!! =D

The simplification of the given equation is  m/9=1/18.

Given angle m26 = 13°

m= 13°/26

  = 1/2

m/9=(1/2)/9

     = 1/(2*9)

     = 1/18

m/9=1/18

Expressions are mathematical statements with at least two words that comprise either numbers, variables, or both and are linked by an addition/subtraction operator. PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction - is the main rule for simplifying expressions.

Simplifying expressions entails rewriting the same algebraic statement in a compact fashion with no similar terms. To simplify expressions, we combine all similar words and solve all specified brackets, if any, leaving just unlike terms in the simplified expression that cannot be reduced further.

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