Find the product of (0.7) x 10^4 and 2.

1. 1.4 x 10^4
2. 1.4 x 10^3
3. 0.14 x 10^4
4. 14 x 10^4

Answer:

A. The sum is a rational expression.

Step-by-step explanation:

The complete questions is:

Let P be the set of polynomials. Let a, b, c, and d be elements of P such that b and d are non-zero elements of P. Which of the following is  true regarding the sum below?

a/b+c/d

A) The sum is a rational expression

B) The sum is an integer

C) The sum is a rational number

D) The sum is a polynomial

Solution:

We are given:

a/b + c/d

b and d are non-zero elements:

Therefore:

a/b is a rational number.

c/d is a rational number.

We see that there is an addition sign between the two terms:

So, sum of rational expression is also a rational expression  

Thus, The correct option is:

A. The sum is a rational expression.

The sum of the given fractions a/b + c/d, where a, b, c, and d are polynomials, can be calculated by finding a common denominator, which is typically the product of polynomials b and d, and combining the adjusted numerators.

The question deals with the operation of addition of fractions where the denominators are polynomials. Given the expression a/b + c/d, where a, b, c, and d are polynomials, and b and d are non-zero polynomials, we want to find their sum. It is important to note that adding or subtracting fractions requires a common denominator.

To combine a/b with c/d, we must first find a common denominator, which will be the product of b and d if they have no common factors. After that, we adjust the numerators accordingly and perform the addition. The resulting fraction will have a numerator that is the polynomial sum of ad and bc, and a denominator that is the polynomial product bd.

Answer:

Sixty-three hundredths.

Step-by-step explanation:

Answer:

1) sixty-three hundredths

2) nine hundredths

HOPE IT HELPED {:)

Answer:

6

Step-by-step explanation:

[tex] - \frac{8}{3} \div - \frac{4}{9} = - \frac{8}{3} \times -\frac{9}{4} = \frac{72}{12} = 6[/tex]

I am joyous to assist you anytime.

For this case we must factor the following expression:

[tex]x ^ 2-3x-4[/tex]

We must find two numbers that, when multiplied, result in -4, and when added, result in -3.

These numbers are: -4 and +1

[tex]-4 + 1 = -3\\-4 * (+ 1) = - 4[/tex]

So:

[tex]x ^ 2-3x-4 = (x-4) (x + 1)[/tex]

Answer:

[tex](x-4) (x + 1)[/tex]

Option A

Answer:

(x+1) and (x-4)

Step-by-step explanation:

Since, factors of an expression is the values which after multiplying together give the same expression.

Given quadratic equation,

[tex]x^2 - 3x - 4[/tex]

By the middle term splitting,

[tex]x^2 - (4 - 1)x - 4[/tex]

By distributive property,

[tex]x^2 - 4x + x - 4[/tex]

[tex]x(x-4)+1(x-4)[/tex]

[tex](x+1)(x-4)[/tex]

Since,

[tex]x^2 - 3x - 4=(x+1)(x-4)[/tex]

i.e. the factors of [tex]x^2 - 3x - 4[/tex] are (x+1) and (x-4).

Step-by-step explanation:

-4r+5=5-4r

-4r+4r=5-5

r=0

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:

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:  1848 feet per minute

Step-by-step explanation:

[tex]\dfrac{21\ miles}{1\ hour}\times \dfrac{1\ hour}{60\ minutes}\times \dfrac{5280\ feet}{1\ mile}\quad =\dfrac{21\times 5280\ feet}{60\ minutes}\quad =\dfrac{110,880\ feet}{60\ minutes}\\\\\\=\large\boxed{1848\ feet\ per\ minute}[/tex]

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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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.

More about the inequality link is given below.

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Answer:120

Step-by-step explanation:

10•12=120

Answer:

120

Step-by-step explanation:

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.

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.

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

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:

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:

a. Fraction of earnings that Mariano put into each piggy bank  is 1/12

b. Mariano earns $28.8

Step-by-step explanation:

Mariano divides his earning in a saving account and 3 piggy banks.  

First ,  we have to know the fraction that we divide in the 3 piggy banks.

Piggy banks =Total earning-Saving account

Saving account 3/4,  

Total earning is 1

to rest both term we have to get the same denominator , so we can say that the total earning is 4/4

Piggy banks =4/4-3/4=( 4-3)/4=1/4

Piggy banks =1/4

Each piggy bank will be 1/3 of that 1/4

1/3 x 1/4=

For fraction multiplication, multiply the numerators and then multiply the denominators to get

1×1/3×4=1/12

This fraction cannot be reduced.

b. Mariano adds $2.40

1/12 is 2.40

total earning  is ?

We use cross-multiplication

a/b=c/d  replacing   (1/12)/2.40 = 1/ ?

So,  the total earning (?) is 1 x 2.40/ (1/12)

= 2.40 x 12=$28.8

Mariano puts 3/4 of his earnings in his savings account and divides the rest equally into 3 piggy banks. The fraction of his earnings that he puts into each piggy bank is (1/12)x dollars. Mariano earns 0 dollars per week delivering papers.

To find the fraction of Mariano's earnings that he puts into each piggy bank, we need to calculate 3/4 of his earnings first. Let's assume he earns x dollars per week. Therefore, he puts 3/4 of x dollars into his savings account, which is (3/4)x dollars. The remaining (1/4)x dollars is divided equally into 3 piggy banks. So, each piggy bank gets (1/12)x dollars.

To find out how much Mariano earns per week delivering papers, we need to solve the equation (3/4)x + (1/12)x = x. Simplifying the equation, we get 9x/12 + x/12 = x. This is equivalent to (10/12)x = x. Multiplying both sides by 12, we get 10x = 12x. Subtracting 10x from both sides, we get 2x = 0. Therefore, x = 0.

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.

2.75+3x=4.25+2.50x

3x - 2.50x = 4.25 - 2.75

0.50x = 1.50

x = 1.50 ÷ 0.50

x = 3

Understand?

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:

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:

A and D

Step-by-step explanation:

Edg 2022

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:462000 milligrams

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

it equals b 37 58 it welcome

Answer:

b≥−  37/76

​  

Step-by-step explanation:

\begin{aligned}-67b+6 & \leq 9b + 43 \\\\ -67b&\leq 9b+37 &(\text{Subtract } 6 \text{ from both sides}) \\\\ -76b &\leq 37 &(\text{Subtract } 9b \text{ from both sides})\\\\ 76b&\geq -37&(\text{Multiply both sides by }-1)\\\\ b&\geq-\dfrac{37}{76}&(\text{Divide both sides by }76) \end{aligned}  

−67b+6

−67b

−76b

76b

b

​  

≤9b+43

≤9b+37

≤37

≥−37

≥−  

76

37

​  

​  

(Subtract 6 from both sides)

(Subtract 9b from both sides)

(Multiply both sides by −1)

(Divide both sides by 76)

​

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

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:

A = 7,850

Step-by-step explanation:

1. Area = 3.14(50)^2

2. A = 3.14(2500)

3. A = 7,850