Help! Asap! Explain why dividing by a fraction results in the same answer as multiplying by its reciprocal.

Answer:

0.0111 grams with the one repeating

Step-by-step explanation:

There are 0.011 grams silicone is used in each pair of headphones.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

1/8 gram of copper and 1/3 of silicone is used to manufacture 30 headphones.

Now,

Since, 1/8 gram of copper and 1/3 of silicone is used to manufacture 30 headphones.

Hence, The amount of silicone is used in each pair of headphones is,

⇒ 1/3 ÷ 30

⇒ 1/3 × 30

⇒ 1/90

⇒ 0.0111 gram

Thus, The amount of silicone is used in each pair of headphones = 0.011 g

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Why? Because adding any number and its opposite is always going to be zero.

Consider adding the number 5 to its opposite -5

5 + (-5) = 5-5 = 0

The same applies to fractions as well. All we do is change the sign from negative to positive, or vice versa, to get the opposite number. The opposites cancel out more or less.

You can think of it as going up 5 floors (positive 5), then going back down 5 floors (negative 5). So overall you didn't change floors at all (represented by 0)

Answer:

6

Step-by-step explanation:

12/2=6

Answer:

Step-by-step explanation:

42/7

= 8

Option A:

The simplest radical form of x is [tex]3\sqrt{15}[/tex].

Solution:

Hypotenuse = 16 in

Two sides are 11 in and x.

To find the value of x:

Pythagoras theorem:

In a right angle triangle, the hypotenuse is equal to the sum of the other two sides.

[tex]11^2+x^2=16^2[/tex]

[tex]121+x^2=256[/tex]

Subtract 121 from both sides of the equation.

[tex]121+x^2-121=256-121[/tex]

[tex]x^2=135[/tex]

Taking square root on both sides of the equation.

[tex]\sqrt {x^2}=\sqrt {135}[/tex]

[tex]x=3\sqrt {15}[/tex]

Hence option A is the correct answer.

Hence the simplest radical form of x is [tex]3\sqrt{15}[/tex].

Answer:

-3999944

Step-by-step explanation:

Answer:

a<0.4

Step-by-step explanation:

The given inequality is

10(a+0.50)<9.00

We expand the parenthesis to get:

10*a+10*0.50<9.00

Multiply to get:

10a+5<9.00

Subtract 5 from both sides to get:

10a<9.00-5

This implies that:

10a<4

Divide both sides by 10

a<4/10

a<0.4

Answer:

Jamison is not correct

Step-by-step explanation:

According to the Fundamental Theorem of Algebra, an nth degree polynomial has n roots.

These roots comprises of real roots and imaginary roots.

The given function is

[tex]f(x) = {x}^{4} - {x}^{3} - 19 {x}^{2} - x - 20 [/tex]

Based on the Fundamental Theorem of Algebra, this function should have four roots.

The graph of the function only reveals real zeros and not the imaginary zeros.

So aside −4 and 5, there are two complex zeros

Jamison is incorrect; according to the Fundamental Theorem of Algebra, a fourth-degree polynomial will have four roots, which could include complex numbers. The zeros he observed are real, but the polynomial may also have complex zeros.

Jamison is not correct because the Fundamental Theorem of Algebra states that every non-zero, single-variable, degree n polynomial with complex coefficients has, counted with multiplicity, exactly n roots in the complex number system. The function ƒ(x) = x4 − x3 − 19x2 − x − 20 is a fourth-degree polynomial, therefore it will have four roots, not necessarily all distinct. Jamison has found two real zeros at −4 and 5. There could be additional complex zeros that were not visible on the graph. The theorem does not specify that all zeros must be real, only that there will be n zeros when including complex numbers.

Polynomials of the second order always have two roots in the complex number system, which explains why real polynomials without real roots (like x2 + 1) have complex roots i and −i. A polynomial of degree four such as the one Jamison is working with can be factored completely into four linear factors in the complex number system, leading to four complex roots. Therefore, it is possible that the remaining two roots of Jamison's polynomial are complex, which is consistent with the Fundamental Theorem of Algebra.

Answer:

slope 1

Step-by-step explanation:

change in y over cahnge in x

The slope of the line that passes through the points -10,9 and -12,7 is 1.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope is defined as the ratio of the rise to the run.

Given that the line passes through the points -10,9 and -12,7. The slope of the line will be calculated as,

The slope of the line is calculated by the formula given below,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = ( 7 - 9 ) / ( -12 + 10)

Slope = ( -2 / -2 )

Slope  = 1

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Answer:

y-4=4/5(x-5)

Step-by-step explanation:

y-y1=m(x-x1)

y-4=4/5(x-5)

Answer:

89.4 inches

Step-by-step explanation:

The slant height of the square pyramid, the height of the square pyramid and half the base side of the square pyramid altogether form a right triangle.

In this right triangle, the slant height is the hypotenuse.

By the Pythagorean theorem,

[tex]91.5^2=19.4^2+h^2\\ \\h^2=91.5^2-19.4^2\\ \\h^2=8,372.25-376.36\\ \\h^2=7,995.89\\ \\h=\sqrt{7,995.89}\ in\\ \\h\approx 89.4\ in[/tex]

Answer:44

So you do 2 shapes and add them together

Answer:

44 square yd.

Step-by-step explanation:

7yd - 4yd = 3yd

8yd × 3yd = 24 square yd

5yd × 4yd = 20 square yd

Total area = 24 + 20 = 44 square yd.

Answer:

c

Step-by-step explanation:

3 to the power of 2 is 9. Then You do PEMDAS.

Answer:

C

Step-by-step explanation:

Use PEMDAS.

1. (21 - 3) / 3²

2. 18 / 3²

3. 18 / 9

4. 2

Answer:

C. 40%

Step-by-step explanation:

Since 2 of the 5 sections are shaded in, 2/5 of the circle is shaded in.

Simply divide 2 by 5 to get 0.4 and multiply by 100 to get 40%.

9/24   =    3/8     =     6/16

       ÷ 3/3        x 2/2

answers: 3/8, 6/16

An exponential function with an initial value of 2 can be represented as f(x) = 2e^x, where '2' is the coefficient and 'e^x' is the exponential term. The term 'initial value' in this context refers to the coefficient, which is the output of the function when the input is 0.

An exponential function with an initial value of 2 can be represented as f(x) = 2e^x. Here, the initial value is referred to as a coefficient or base of the exponential function. This means that the output of the function is 2 when the input is 0. Squaring of exponentials involves multiplying the exponent of the exponential term by 2.

As another example, in the exponential arithmetic expression 5^2, you 'square' the base number 5 by using the exponent '2', resulting in 25. Similarly, in the exponential function 2e^x, '2' is the initial value, 'e' is the base of the natural logarithm, and 'x' is the exponent representing the rate of change.

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An exponential function with an initial value of 2 can be represented by the equation y = 2 × aˣ. The number 2 is the output of the function when x is 0 which represents its initial value. Exponential functions involve repeated multiplication, expressed as a base number raised to an exponent.

An exponential function that has an initial value of 2 would be represented by the equation y = 2 × aˣ, where 'a' is the base of the exponent, and 'x' is the exponent itself. To understand this, it's crucial to understand how exponential functions work. They are mathematical expressions that involve an exponent or power, which is shorthand for repeated multiplications of the base number.

In this equation, the initial value is the number 2, which means when x = 0 in the function y = 2 × aˣ, the output will be 2. The 'a' in the equation represents the factor by which the function changes for each unit increase or decrease in 'x', and it can vary based on the specific function or problem context.

An example of such an equation would be y = 2 × 3ˣ, where the initial value y(0) = 2, and the base of the exponent is '3'. When dealing with Exponential Arithmetic, you're expressing very large or very small numbers as a product of two numbers, the first of which is usually a non-zero number between 1 and 10, and the second is 10 raised to an exponent.

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Answer: 879

Step-by-step explanation:

The order of operations calls for Parenthesis, Multiply, Divide, Add, Subtract. From left to right.

So we do the parenthesis first (102 - 4)

-3 + 9 (98)

Next we multiply 9 and 98

-3 + 882

Lastly we add -3 and 882

879

Answer:

Step-by-step explanation: (8 x C) + (8 x4)

8c + 32

Final answer:

To evaluate the expression ⁸C₄, we use the combination formula, giving a result of 70. This means there are 70 different ways to choose 4 items from a total of 8.

Explanation:

The question asks to evaluate the expression ⁸C₄. This is a combination problem where we want to find how many different ways we can choose 4 items from a total of 8 without regard to the order. In mathematics, the combination can be calculated using the formula [tex]n_C_{_r} = \frac{n!}{r! * (n-r)!}[/tex], where n is the total number of items, r is the number of items to choose, and ! denotes factorial, which is the product of all positive integers less than or equal to the number.

In this case, n = 8 and r = 4. So, we calculate as follows:

8! is 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 40320

4! is 4 * 3 * 2 * 1 = 24

(8-4)! or 4! is also 24

Plugging these into our formula gives us ⁸C₄ = 40320 / (24 * 24) = 70

The final answer is 70. This means there are 70 different ways to choose 4 items out of 8.

Answer:

[tex]6(70 + 8) = 468[/tex]

answer is b

Answer: The answer is B. hope it could help

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Assuming, we want to find the value of [tex]((-14)^0)^{-2}[/tex]

Recall that: any non-zero number exponent zero is 1.

Using this property, we simplify our expression to [tex](1)^{-2}[/tex] since [tex](-14)^0=1[/tex]

Now using the property of exponents: [tex]a^{-n}=\frac{1}{a^n}[/tex]

This implies that:[tex]1^{-1}=\frac{1}{1^2}=\frac{1}{1}=1[/tex]

The correct answer is 1

Answer:

The anwser in the edge is 1.

Step-by-step explanation:

Answer:

w = 10

Step-by-step explanation:

Given

V = lwh ← substitute the given values

2000 = 10 × w × 20, that is

2000 = 200w ( divide both sides by 200 )

10 = w

Answer:

6 touchdowns

Step-by-step explanation:

You just subtract the (2*3) from the 42 and get 36 than you divide by 6.

Answer:

Shree should subtract 7 on both sides of the the equation ( variable side and total side. ) and then Shree would get the x = 21

Step-by-step explanation:

x + 7 = 28

   - 7    - 7

      x = 21

Answer:

[tex]\huge\boxed{n=\log_35}[/tex]

Step-by-step explanation:

[tex]3^n=5\Rightarrow\log_33^n=\log_35\qquad\text{use}\ \log_ab^n=n\log_ab\\\\n\log_33=\log_35\qquad\text{use}\ \log_aa=1\\\\\boxed{n=\log_35}[/tex]

Answer:

Around the 12x3

Step-by-step explanation:

(12x3)^2+36

Answer:

Step-by-step explanation:

first ,we use the Pythagorean theorem to determine the width:

width = √(17^2-15^2) = 8

then

perimeter = 2(width+lengt) = 2(8 + 15) = 2×23 = 46

Answer:

because it can go overseas

Answer:

No

Step-by-step explanation: