(7.26x10^6)-(1.3x10^4) in scientific notation

The two numbers with the value of 9 in the first digit being 10 times the value of 9 in the second digit are 98 and 9.

The first number will be 9 and the second number will be 98.

In the second number, the 9 is in the tens position which means that it has the value of 90.

In the first number, the value of 9 is simply 9.

90 is 10 times the value of 9 which means that 9 and 98 satisfy the requirements.

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Answer:

1. 15.17ft          2. 18.57ft           3. 22.41%

Step-by-step explanation:

1. What was the length of one side of the garage originally?

Area of a square = s × s which is also equal to s²

s means one side of the square, as it is a square, all sides are equal.

so

230 = s²

s = √230 = 15.17

2. What is the length of one side of the garage now?

The original area of the garage was 230ft²

But now, the area has increased by 50%

Increased Area = 230 × 50% = 115ft²

Total Area = 230 + 115 = 345ft²

In the question, they are saying that after the area is increased, the garage is still a square which means that the side lengths have equal values.

Area = s²

345 = s²

s = √345 = 18.57

3. What was the percentage increase of the length of one side?

   Length : Percentage

     15.17   :      100

    18.57   :         x

When the length of one side was 15.17, the percentage was 100% as that is what the original length was, we can use ratio and proportion to find what the percentage will be when the length is 18.57.

Now cross multiply

18.57 × 100 = 15.17x

1857 = 15.17x

1857/15.17 = x

x = 122. 41

The new percentage is 122.41%

The difference between both percentages is:

122.41 - 100 = 22.41

And 22.41 is the percentage increase.

Answer: 2: v = -26 | 3: k = 7 | 4: x = 3/14 |

Step-by-step explanation:

---------------------------------------------------------------------------------------------------

2: 4 + v/8 = 3/4

First we have to leave the variable "v" alone and we do the opposite on the other side.

So we do 4 + v/8 = 3/4 ----> v/8 = 3/4 - 4

---> v/8 = -3 1/4

next we do 8 * v/8 = -3 1/4 * 8

We get v = -26

---------------------------------------------------------------------------------------------------

3: 2/3 + 3/4k = 71/12

Subtract 2/3 from both sides

= 3/4k = 63/12

Reduce 63/12 to 21/4

= 3/4k = 21/4

Multiply each side by 4/3, the reciprocall of 3/4

then we get k = 21/3

Which means k = 7

---------------------------------------------------------------------------------------------------

4: 1/2 + 7/10x = 13/20

Subtact 1/2 from both sides

= 7/10x = 3/20

Multiply each side by 10/7, the reciprocal of 7/10

x = 3 * 10/20 * 7

= x = 30/140

= x = 3/14

Answer:

i think the question might be incorrect or the question is incomplete

Answer:

32

Step-by-step explanation:

[tex]5\cdot \:5+7[/tex]

Answer:

Step-by-step explanation:

1.5 and 2.25

_____________________

Solution:

Exact Form:

[tex]\frac{4}{7}-(-\frac{3}{8}) = \frac{53}{56}[/tex]

______________________

(^Note^)

To subtract fractions, find the LCD (Least Common Denominator), then combine.

Hope this helps! If so, please lmk! Thanks and good luck!

Answer: 53/56

Step-by-step explanation:

sorry if im wrong but since there is 2 negative signs it is going to become positive. so..

4/7+3/8

then make the denominators the same (56)

then multiply the numerators by the number you multiplied for the denominator for the question.

answer: 32/56+21/56 = 53/56

Answer:

9(10+5)

Step-by-step explanation:

because 10+5 is fifteen so then when you as them together you get the same expression as before

Answer:

9(10+5)

Step-by-step explanation:

because 10+5=15 and it's 9(15)

Answer:

-7.5+4.2=-3.3

-0.9*2.7=-2.43

Answer:

7.5 + 4.2 = 11.7

0.9 * 2.7 = 2.43

Step-by-step explanation:

For a system of seven equations with thirteen unknowns corresponds to a matrix in row echelon form. The largest possible number of pivots for this matrix is 7.

Using a technique known as Gaussian elimination, any matrix can be converted to reduced row echelon form. This is especially useful for solving linear equation systems.

If a matrix has the following properties, it is in Row Echelon form:

Pivoting is the process of transferring the first matrix to the second matrix utilizing row operations similar to equations.

The matrix "A" has three columns. As a result, there can only be three pivots, implying that at least one row of "A" in echelon type must be zero.

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Answer:

[tex]10\left(x-2y\right)[/tex]

Step-by-step explanation:

[tex]-20 = 2\cdot \:10\\=10x+2\cdot \:10y\\=10\left(x-2y\right)[/tex]

Steps

• -20 gets converted to 2 × 10

• -20 in its new form is put into the rewritten equation.

• 10 was factored out, because it is the most common term in this equation.

The derivative of the function y = (sin(7x))ln(x) is [tex]\frac{Sin(7x)}{x} +7*ln(x)*Cos(7x)[/tex]

Derivative of a function f(x) is defined as the rate of change of that function with respect to x at a point in its domain.

For Example , Derivative of [tex]3x^{2} =6x[/tex].

Product Rule of Differentiation

Let f(x) and g(x) be any two function. The derivative of their will be

F(x)=f(x)*g(x)

[tex]F'(x)=f(x)*g'(x)+g(x)*f'(x)[/tex]

Given y=(sin(7x))ln(x)

[tex]y'=Sin(7x)*\frac{d}{dx} ln(x)+ln(x)*\frac{d}{dx}Sin(7x)[/tex]

[tex]y'=Sin(7x)*\frac{1}{x} +ln(x)*Cos(7x)*7[/tex]

[tex]y'=\frac{Sin(7x)}{x} +7*ln(x)*Cos(x)[/tex]

Therefore , the derivative of the function y = (sin(7x))ln(x) is [tex]\frac{Sin(7x)}{x} +7*ln(x)*Cos(7x)[/tex]

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Answer:

Step-by-step explanation:

Answer:

x=-13

Step-by-step explanation:

[tex]\frac{x}{6-5}=\left(-13\right)[/tex]
[tex]\frac{x}{1}=\left(-13\right)[/tex]
[tex]x=-13[/tex]

Answer: x= -48

Step-by-step explanation:

x/6 -5 = -13                                              check answer

     +5 = +5                                                 (-48)/6 -5 =-13  

x/6 = -8                                                          -8 -5 = -13

6(x/6) = (-8)6                                                  -13 = -13  

x=-48

Answer:

0.00000057652

Step-by-step explanation:

5.764 × 10^-7 = 0.0000005764 (move the decimal place 7 steps forward)

0.00000057652>0.0000005764 (65>64)

Therefore 0.00000057652 is greater.

Hope this helped! ^^

The length of the rectangle garden is 15 meters and the width of the rectangle garden is 10 meters.

Perimeter of the rectangle:

Perimeter of the rectangle is defined as the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides.

The formula for perimeter of the rectangle is,

P = 2 (a + b) units

where

“a” is the length of the rectangle

“b” is the breadth of the rectangle

Given,

A rectangle garden has a length of 5 less than 2 times the width.

The perimeter if 50 meters.

Here we need to find the side lengths of the rectangle garden.

Let w be the width of the garden.

According to the given details, the length is

l =2w - 5

Now apply the values on the perimeter formula,

Then

=> 2 ((2w - 5) + w) = 50

=> 2 (3w - 5) = 50

=> 3w - 5 = 25

=> 3w = 30

=> w = 10 meters.

Apply the value of width on the equation to find the length of the garden.

=> l = (2 x 10) -5

=> l = 20 - 5

=> l = 15 meters.

Therefore, the length of the garden is 15 meters and the width of the garden is 10 meters.

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The evaluation of the expression is 2, if the expression is x - y + z(x + w).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Given that x = 1, y = 1, w = 1, and z = 1

We have been given expression

⇒ x - y + z(x + w)

Substitute the values of x = 1, y = 1, w = 1, and z = 1 in the above expression,

⇒ 1 - 1 + 1(1 + 1)

⇒ 0 + 1(2)

⇒ 2

Hence, the evaluation of the expression is 2.

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Your question is incomplete, probably the missing part is:

Given x = 1, y = 1, w = 1, and z = 1 and this expression x - y + z(x + w): what is the evaluation of the logical expression?

The collection of all rational and irrational numbers, represented by the letter R, is known as a real number. A real number can therefore be either rational or irrational.

The set of natural numbers N = {1, 2, 3, 4, 5, . . .}

The set of integers Z = {. . ., –3, –2, –1, 0, 1, 2, 3, . . .}

The set of rational numbers Q = {x: x = a/b; a, b ∈ Z and b ≠ 0}

The set of irrational numbers, denoted by T, is composed of all other real numbers.

Thus, T = {x : x ∈ R and x ∉ Q}, i.e., all real numbers that are not rational.

Some of the irrational numbers include √2, √3, √5, and π, etc.

Some of the apparent relations among these subsets are:

N ⊂ Z ⊂ Q, Q ⊂ R, T ⊂ R, N ⊄ T.

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Answer:

42

Step-by-step explanation:

210 × 20% = 42

The statement is false .

let ; n=-5

     m=-6

n - m= -5 -( -6 )

       = -5 + 6

       = 1

which is not a negative real number .

therefore it shows that negative real number are not closed under substrsction.

the process or skill of taking one number or amount away from another.

Example: 7-5=2

7 is a minuend

5 is a subtrahend

and 2 is a differenceSubtraction is an arithmetic operation that represents the operation of removing objects from a collection.

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The second lawn that Makayla mows has a length of 70 feet.

If the first lawn Makayla mows is 10 feet long and 7 feet wide, use the formula for the area of rectangle to know the area of the first lawn.

A = l x w

Area of first lawn = 10 feet x 7 feet

Area of first lawn = 70 ft^2

If the area of the second lawn is 7 times as big as the first, then the area of the second lawn is:

Area of second lawn = 7 x Area of first lawn

Area of second lawn = 7 x 70 ft^2

Area of second lawn = 490 ft^2

If the second lawn has the same width as the first, which is 7 feet, using the formula for the area of a rectangle, solve for the length of the second lawn.

A = l x w

Area of second lawn = l x w

490 ft^2 = l x (7 feet)

l = 70 feet

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Answer:

C: 51X+42Y

13x + 38x + 9y + 33y

adding,

51x + 42y so option C

The time when the two total costs would be equal is 6 hours.

The equation that can be used to represent the total cost of renting a canoe is a linear function. A linear equation is an equation that has a single variable raised to the power of 1.  A linear equation increases by a predetermined constant. An example of a linear equation is 2x + 2.

The form that the equation would be is:

Total cost = rental fee + (cost per hour x number of hours)

Total cost at Shop A = $2 + $5h

Total cost Shop B = $8 + $4h

When the total costs are equal, the two above equations would be equal.

$2 + $5h = $8 + $4h

Combine similar terms: $$5h - $4h=  $8 - $2

Add similar terms: h = 6 hours

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Answer:

6000

Step-by-step explanation:

thousands digit and the units digit are the same.

and The hundreds digit and the tens digit are the same.

The hundreds digit is 0.

so three digits are same.

so the last three digits are 0.

The sum of the digits is 6.

so 6000 is right answer.

12800

Step-by-step explanation:

you should find 6 percent on 32000 and multiply it by 10 to see the value it lost in 10 years then subtract that from 32000 for the final answer :)

Answer:

48 seeds germinated

Step-by-step explanation:

you have 60 seeds, and 80% of them germinated

80% = 0.80

[tex]60* 0.80 = 48[/tex]

48 seeds

Answer: 48 seeds germinated

Step-by-step explanation:

60/100= 0.6

0.6x80=48