2(2X-3)-10 <_ 6(X-2)

The value of [tex]1^{102[/tex] is 1 because 1 multiply by itself results to 1.

A number's exponent indicates how many times the number has been multiplied by itself.

: Since 2 is multiplied by itself 4 times, 2x 2 x 2x 2 can be expressed as [tex]2^4[/tex]. Here, 4 is referred to as the "exponent" or "power," while 2 is referred to as the "base."

Given:

[tex]1^{102[/tex] = ?

Now, if we have

1² = 1 x 1 = 1

1³ = 1 x 1x 1 = 1

.

.

.

[tex]1^{50[/tex]= 1 x 1 x 1 x 1 x 1 x ................(50 times) = 1

and, [tex]1^{102[/tex] = 1 x 1 x 1 x 1 x 1 x ................(102 times) = 1

Hence, the value of [tex]1^{102[/tex] is 1 because 1 multiply by itself results to 1.

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Final answer:

The value of 1 raised to any power, including 1 exponent 102, is 1. When you multiply 1 by itself any number of times, the result is always 1 because the identity property of multiplication states that any number multiplied by 1 remains unchanged.

Explanation:

The value of 1 exponent 102, or $1^{102}$, is 1. In fact, the value of any power of 1 is always 1. To understand this, let's think of the exponent as how many instances of a number are multiplied together. When you multiply 1 by itself any number of times, the result remains 1 because multiplying by 1 does not change the value of the original number. Thus, 1 to any power, whether it's 1 or 102, will still give us 1.

Using these principles, let's address another problem without entering scientific notation into your calculator. To evaluate $(4.506 \times 10^4) \times (1.003 \times 10^2)$, we can multiply the coefficients (4.506 \times 1.003) and then add the exponents of 10 (4 + 2), since when powers of 10 are multiplied together, the exponents are added. The result is approximately 4.514518 \times 10^6.

Answer:

The product will be LESS than 12.

Step-by-step explanation:

When multiplying a number by something smaller than 1, the product will always be smaller than your first number. A simple way to remember this is that a decimal is the same as a fraction in almost every way. For example, 1/2 and .5 are the same number.

When a number is multiplied by a decimal less than 1, the product will always be less than the original number. Hence, if Jesse multiplies 12 by 0.23, the result will be less than 12.

To determine whether the product of multiplying 12 by 0.23 will be more or less than 12, we can use some basic estimation and mathematical reasoning without performing the actual calculation. Here's a step-by-step explanation:

Step 1: Understand the decimal value of 0.23.

  - 0.23 is less than 1, which means it is a fraction of 1. In decimal form, it's less than 0.5 but greater than 0.2.

Step 2: Understand the concept of multiplication with fractions less than 1.

  - When you multiply a number by a fraction less than 1, the result is smaller than the original number. The closer the fraction is to 0, the smaller the result.

Step 3: Apply this understanding to the problem.

  - Since 0.23 is less than 1 and closer to 0, when you multiply 12 by 0.23, the result will be smaller than 12.

Step 4: Answer the question.

  - Therefore, the product of multiplying 12 by 0.23 will be less than 12.

So, without calculating the actual product, we can confidently say that the result will be less than 12 because we are multiplying 12 by a fraction (0.23) that is less than 1.

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Answer:14

Step-by-step explanation:

Answer:

Her daughters age: 1/2x

Step-by-step explanation:

Let's say Rani's present age is x. Her age is twice the age of her daughter.

So if Rani's age is 20, her daughters age would be 10, because Rani is twice the age of 10; so 10 times 2 would be 20.

1/2(20)=daughter's age

so if you substitute x into 20 because we don't actually know Rani's age, it would be 1/2(x)=daughter's age.

hope this helped :-) <3

Answer:

x = ± [tex]\sqrt{10}[/tex]

Step-by-step explanation:

Given

5 - 2x² = - 15 ( subtract 5 from both sides )

- 2x² = - 20 ( divide both sides by - 2 )

x² = 10 ( take the square root of both sides )

x = ± [tex]\sqrt{10}[/tex] ← exact solutions

Step-by-step explanation:

-4r+5=5-4r

-4r+4r=5-5

r=0

Answer:

5⁷

Step-by-step explanation:

5*5*5*5*5*5*5

here,

count how many 5 are there - 7

so,

exponential notation form:

5*5*5*5*5*5*5 = 5⁷

Answer:

5*5*5*5*5*5*5 in exponential notation form is 5⁷

Answer:

about 800000 ticket available for all the Knicks’ home games

Step-by-step explanation:

given data

tickets for Knicks home game = 19763  ≈ 20000

no of games = 41 ≈ 40

to find out

how many tickets are available for all the Knicks’ home games

solution

we know here ticket available for a New York Knicks home game and games are approx 40

so

total ticket available = tickets for Knicks home × no of games   ........1

total ticket available =20000× 40

total ticket available = approx 800000

so about 800000 ticket available for all the Knicks’ home games

Answer: (1) Distributive (2) Commutative (3) Associative

              (4) Commutative  (5) Addition Property of Equality

Step-by-step explanation:

1) Distributive

(x + 4) was multiplied by 3 and (2x - y) was multiplied by 5

2) Commutative

10x and -5y switched places

3) Associative

The parenthesis changed partners

4) Commutative

(12y - 5y) and 10x switched places

5) Addition Property

Like terms were added together --> 3x + 10x = 13x and 12y - 5y = 7y

Answer:

Sixty-three hundredths.

Step-by-step explanation:

Answer:

1) sixty-three hundredths

2) nine hundredths

HOPE IT HELPED {:)

Answer:120

Step-by-step explanation:

10•12=120

Answer:

120

Step-by-step explanation:

The travel time for a plane traveling at a rate of r kilometers per hour for 900 kilometers can be calculated using the formula: Time = Distance / Speed. So, the travel time for the plane would be 900 / r hours.

The travel time for a plane traveling at a rate of r kilometers per hour for 900 kilometers can be calculated using the formula:

Time = Distance / Speed

Since the distance is given as 900 kilometers and the rate is given as r kilometers per hour, the travel time can be written as:

Time = 900 / r

So, the travel time for the plane would be 900 / r hours.

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Answer:

6 x 10/3= 6000

Step-by-step explanation:

take ur first digit,6,and either multiply it by 10/3 =1000 or place to its right as many zeroes as the exponent of ten (3)

The student is working with scientific notation, specifically converting 6 x [tex]10^{-3}[/tex] into standard notation, which results in the number 0.006.

The student in question appears to be dealing with scientific notation and its application in representing large or small numbers in a condensed form. In scientific notation, numbers are represented as a product of a base number and 10 raised to a certain power. For instance, 6 x 10/3 is a way to represent the number 0.006, indicating the decimal point has been moved three places to the left.

To convert 6x10/3 into standard notation, you need to recognize that the exponent -3 on the 10 denotes how many places to move the decimal. Since it is negative, we move the decimal to the left. Therefore, we rewrite 6 as 0.006, which is the standard notation.

Victor swims 4500 ft during his winter break.

It is given that,

Explanation:

Laps in one week is 30. So, laps in two weeks is:

[tex]2\times 30=60[/tex]

1 lap is equal to 25 yards. So, 60 laps is equal to:

[tex]60\times 250=1500[/tex] yards

We know that,

1 yard = 3 ft

So, 1500 yards is:

[tex]1500\times 3=4500[/tex] ft

Thus, Victor swims 4500 ft during his winter break.

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Answer:

Step-by-step explanation:

9x²+7x=0

x(9x+7) =0

x=0  or 9x+7 =0

x=0 or x = -7/9

Answer:462000 milligrams

Step-by-step explanation: you times it by 1000

Answer:

The Identity Property

Step-by-step explanation:

Identity Property means the number's Identity stays the same; usually either itself times 1, or plus zero

6 + 0 = 6 is an example of the Identity Property

Answer: Hello there! Just a helping hand here, its an additive identity property. Hope this helps! -Skyler

Step-by-step explanation:

The additive identity property states that the sum of any number and zero is the original number.

Answer:

I believe the answer is 36.

Answer:

answer what?

Step-by-step explanation:

Answer:

Should be 4:00 pm

Step-by-step explanation:

To create the formula, identify the relationship between cost and number of journeys from the graph. Assume a simple linear function y = mx + b. Calculate the slope (rate of cost per journey) and y-intercept (initial or fixed cost) to find final equation: c = mn + b.

In order to work out a formula for c (cost) in terms of n (number of journeys), we need to understand the relationship between these two variables. From the graph, we can make the assumption that this relationship is linear, suggesting a simple algebraic formula of the form y = mx + b, where y is the dependent variable (cost), x is the independent variable (number of journeys), m is the slope of the line and b is the y-intercept.

To establish our formula, we need to calculate the slope and y-intercept. The slope is found by taking the change in y over the change in x (the 'rise' over 'run'). The y-intercept is the cost (c) when the number of journeys (n) is zero.

Once these quantities are determined from the graph, your formula could look like: c = mn + b, where m is the slope (change in cost per journey) and b is the cost for zero journeys (fixed cost).

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Answer:

w = 14 - (L/2)

Final answer:

The width, W, of the rectangular football field is expressed as W = (1/2)L + 14, which signifies that the width is half of the field's length plus an additional 14 meters.

Explanation:

If L represents the length of the football field, the expression for the width, W, is W =  rac{1}{2}L + 14. This is because the width is given as 14 meters more than half of the field's length. So, to write this relationship as an expression, we start by taking half of the length, denoted as  [tex]rac{1}{2}L[/tex], and then add 14 meters to this value to account for the additional width.

[tex]\huge\boxed{108}[/tex]

The [tex]^{-2}[/tex] only affects the [tex](-6)[/tex]. Let's solve that exponent first.

[tex]3(-6)^{-2}[/tex]

[tex]3(-6*-6)[/tex]

Multiply.

[tex]3*36[/tex]

Multiply one last time.

[tex]\boxed{108}[/tex]

Answer:

108

Step-by-step explanation:

Do the parentheses first with the exponent of 2 on the outside.

Multiply -6 times -6, which gets you 36.

After, multiply 36 by 3. Which gets you 108!

Final: 108

Answer:

7) 10^4

B) 50

Step-by-step explanation:

7) 10,000=10x10x10x10

turned into an exponent= 10^4

B). the 5 is in the tens place so it's value is

50

Answer:

125°

Step-by-step explanation:

Supplementary angles sum to 180°

let one angle be x then the larger angle is x + 70, thus

x + x + 7 0 = 180

2x + 70 = 180 ( subtract 70 from both sides )

2x = 110 ( divide both sides by 2 )

x = 55

Hence

larger angle = x + 70 = 55 + 70 = 125°

Answer:

x^2-6x+7

Step-by-step explanation:

You can use synthetic division since you are dividing by a linear factor with leading coefficient 1.  (You can also do synthetic division when dividing by a linear factor whose leading coefficient is not 1 but it is a bit trickier.)

So since we are dividing by x-2, 2 goes on the outside.

(If we were dividing by x+2, -2 would go on the outside.)

Now the thing that goes on top inside is the dividend, the numerator which is 1x^3-8x^2+19x-14. If you were missing any terms you would have to place a zero but we aren't. All exponents between 3 and 0 (inclusive meaning to include the 3 and the constant term) on variable x is accounted for.  

2|  1   -8    19     -14

 |       2    -12      14

  -----------------------------

     1  -6     7       0

So the remainder is 0 and the quotient is x^2-6x+7.

Answer:

B. −5 < x < 10

Step-by-step explanation:

−6 < x − 1 < 9

+1 + 1 + 1

_____________

−5 < x < 10

I am joyous to assist you anytime.

The solution to the inequality will be −5 < x < 10. Then the correct option is C.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

−6 < x − 1 < 9

Solve the inequality for x, then the value of x will be

Add 1 on each side of the inequality, then we have

−6 + 1 < x − 1 + 1 < 9 + 1

−5 < x < 10

The solution to the inequality will be −5 < x < 10. Then the correct option is C.

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Each 6 in the number 763 465 284 132 holds an individual place value. The first is worth 6 (one's place), the second is worth 6,000 (thousand's place), and the third is worth 600,000,000 (hundred million's place).

In the number 763 465 284 132, each 6 holds a unique positional value as per the place value system, which is a fundamental concept in Mathematics. The first 6, counting from the right, is in the one's place, so it just represents the number 6. The second 6 is in the thousands place, so it represents 6,000. The third 6 is in the hundred million's place, so it represents 600,000,000.

The number could also be read as: Seven hundred sixty-three billion, four hundred sixty-five million, two hundred eighty-four thousand, one hundred thirty-two.

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