how do you know two numbers are opposites?​

Answer: = 7.27 × 108                          

(scientific notation)

with calculate significant figures         = 7.3 × 108

                                                           (scientific notation)

Step-by-step explanation: hope this helps

The missing step 7 in the two column proof is; Consecutive ∠s in a ▱ are supplementary

We are told that WXYZ is a parallelogram in which  we have to prove that: WXYZ is a rectangle. The two column proof is as follows;

           Statement                                              Reason

1. WXYZ is a parallelogram,                 1. Given

    ZX ≅WY

2.  ZY ≅ WX                                           2. Opposite sides of parallelogram

                                                                 are congruent.

3.  YX≅YX                                            3. Reflexive property of congruence

4. ΔZYX ≅ Δ WXY                             4.  SSS congruence postulate

5.  ∠ZYX ≅ ∠WXY                                 5. CPCTC

6. m∠ZYX ≅ m∠WXY                            6. definition of congruence.

7.m∠ZYX + m∠WXY = 180°                   7. Consecutive ∠s in a ▱ are

                                                                   supplementary

8.m∠ZYX + m∠ZYX = 180°                    8. By substitution

9. 2(m∠ZYX) = 180°                                9. By simplification

10.m∠ZYX = 90°                                     10. Division property of equality

11. WXYZ is a rectangle                       11. Rectangle angle theorem.

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Danladi says that it cannot be rewritten as either of these expressions. He is correct.

It should be noted that 2³ × 42 will be:

= 2³ × 42

= 8 × 42

= 336

Therefore, Zoe says that 2³.42 can be rewritten as 86 and Juana says that it can be rewritten as.85. They're both wrong.

In the other hand, Danladi says that it cannot be rewritten as either of these expressions. Therefore, he is correct.

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The inverse of the function y = log₂(2x) is f ⁻¹(x) = 2ˣ⁻¹.

Given the function is :y = log₂ 2x

we are asked to find the inverse of the function.

steps to find inverse function are:

Change f(x) to y to get y = ax + b for the provided function f(x) = ax + b.

To get x = ay + b from the equation y = ax + b, replace x with y and y with x.

Here, find y and solve for x = ay + b.

Then we get y = (x - b/a).

Finally, we can substitute y = f-1(x) with f-1(x) = (x - b)/a.

now interchange the positions of x and y in the function.

x = log₂ 2y

the next step is to isolate the dependent variables.

f ⁻¹(x) = 2ˣ ⁻ 1

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According to the question, the given rational expression can be simplified which is as shown below:

Rational expression = [tex]\frac{12-4x}{x^{2} -9}=\frac{4(3-x)}{(x-3)(x+3)}[/tex]

For the simplification of the given expression, calculate the factors of the numerator as well as denominator terms and divide them from each other. In this change the sign of the expression before dividing with each other.

Rational expression = [tex]\frac{-4}{(x+3)}[/tex]

The rational expression are also known as polynomial expression. The highest degree of these expression is two. And these expression uses concept of factor rule.

Therefore, the final expression is [tex]\frac{-4}{(x+3)}[/tex]

What is polynomial expression?

Polynomial expression are those equation whose highest degree is two. It is also called as quadratic equation. And it is simplified by performing the factors on the given expressions.

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Answer:

units 6.0 I think good luck brother

The answer to this question is: og(x³y⁵) = 3log(x) + 5log(y)

In mathematics, the logarithm is that the function to exponentiation. which means the logarithm of a given number x is that the exponent to which another fixed number, the base b, must be raised, to supply that number x. within the simplest case, the logarithm counts the amount of occurrences of the identical consider repeated multiplication

To solve this question, we need only 2 identities, i.e.,

log(a*b) = log(a) + log(b)   ...(1)

log(aⁿ) = nlog(a)                ...(2)

Using 1, we can expand log x³ y⁵ as: log x³ y⁵ = log(x³) + log(y⁵)       ...(3)

Using 2, we can expand both the terms as: log(x³) = 3log(x)log(y⁵) = 5log(y)

Putting them in equation 3, we get:3log(x) +5log(y)

Therefore, log(x³y⁵) = 3log(x) + 5log(y)

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When two quantities, say X and Y, are related in such a way that an increase or decrease in the value of X results in an increase in the value of Y, direct variation occurs, whereas indirect or inverse variation occurs when an increase in the value of X results in a decrease in the value of Y and vice versa.

Therefore, direct variation occurs when two quantities, say X and Y, are related in such a way that an increase or decrease in the value of X results in an increase in the value of Y whereas indirect or inverse variation occurs when two quantities, say X and Y, are related in such a way that an increase in the value of X results in a decrease in the value of Y and vice versa.

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Answer:

1 1/2+4/5 and the vertical would be graphed?

The expression is simplified to  -5. 05u - 6

An algebraic expression can be defined as a mathematical expression made up variables, coefficients, terms, factors and constants.

These algebraic expressions are also made up of arithmetic operations, such as;

From the information given, we have the expression;

(3.65u − 11) − (−5 + 8.7u)

Now, expand the bracket, we get;

3. 65u - 11 + 5 - 8. 7u

collect like terms

3. 65u - 8. 7u - 11 + 5

Add/substract the values

-5. 05u - 6

Hence, the expression is -5. 05u - 6

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Answer:

n + 3.9 ≤ 16

An inequality is a mathematical expression represented by less than, greater than, or equal to symbols to compare values or to measure and solve complex equations.

Answer:

Associative property of addition!

Step-by-step explanation:

You have to add the numbers a lot!!

Commutative property is the answer Bec of addition says that the change in order of numbers in addition will not change the result.

Therefore, for variable x and y the commutative property of addition is x+y=y+x.

Answer:

2 yards by 3 yards by 5 yards

Step-by-step explanation:

6 times 11 times 11 = 726

3(2*3*5) = 6*9*15 = 810

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Using proportions, it is found that:

1. a) 1/5 of the marbles are red.

b) 40% of the marbles are yellow.

c) 60% of the marbles are not yellow.

d) 11/20 of the marbles are green or yellow.

2) Event A, B and C are the most likely, each with equal probabilities.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For the first problem, we have that there are 3 + 4 + 5 + 8 = 20 marbles, hence:

a) 4/20 = 1/5 of the marbles are red.

b) 8/20 x 100% = 0.4 x 100% = 40% of the marbles are yellow.

c) 12/20 x 100% = 0.6 x 100% = 60% of the marbles are not yellow.

d) 3 are green and 8 are yellow, hence 11/20 of the marbles are green or yellow.

A die has 6 possible outcomes, numbered 1 to 6, hence the probabilities(number of desired outcomes divided by number of total outcomes) are given as follows:

Event A, B and C are the most likely, each with equal probabilities.

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The total walking distance of the week is 12.1 km.

So, let the total walking distance be 'x'.

Then,

Therefore, the total distance of walking in the week is 12.1 km.

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We get that, for the equation 2 x + 2 y = 8, when we solve for y, we get the result as y = 4 - x.

We are given an equation:

2 x + 2 y = 8

Divide both the sides by 2, we get that:

2 x / 2 + 2 y / 2 = 8 / 2

x + y = 4

Now, we will subtract x from both the sides, so, we get that:

x + y - x = 4 - x

y = 4 - x

Therefore, we get that, for the equation 2 x + 2 y = 8, when we solve for y, we get the result as y = 4 - x.

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Answer:

[tex]x = 17[/tex].

Step-by-step explanation:

Simplify the given equation:

[tex]2\, (x - 1)^{3/4} = 16[/tex].

[tex](x - 1)^{3/4} = 8[/tex].

[tex]((x - 1)^{1/4})^{3} = 8[/tex].

Take the cubic root of both sides to eliminate the numerator of the exponent. Only roots of even degree could introduce alternative solutions. Since the degree of this root is an odd number, this step would not create extraneous solutions.

[tex]\sqrt[3]{((x - 1)^{1/4})^{3}} = \sqrt[3]{8}[/tex].

[tex](x - 1)^{1/4} = 2[/tex].

Raise both sides to the fourth power to eliminate the denominator of the exponent:

[tex](x - 1) = 2^{4}[/tex].

[tex]x - 1 = 16[/tex].

[tex]x = 17[/tex].

Substitute the solution [tex]x = 17[/tex] into the equation:

[tex]\begin{aligned}& 2\, (17 - 1)^{3/4} \\ =\; & 2\times (16^{1/4})^{3} \\ =\; & 2 \times 2^{3} \\ =\; & 16\end{aligned}[/tex].

Thus, [tex]x = 17[/tex] isn't an extraneous solution since setting [tex]x[/tex] to [tex]17[/tex] satisfies the original equation.

Answer:

212.

Step-by-step explanation:

Given: 3m^2 + 2p^2 - 15

When m = 3 and p = 10

Substituting the values

= 3(3)^2 + 2(10)^2 - 15

By further calculation

= 3(9) + 2(100) - 15

So we get

= 27 + 200 - 15

= 212

Therefore, the value of the expression is 212.

Answer:

y = ± √ 7/2

Step-by-step explanation:

2*y^2-8-(6-2*y^2)=0

(2 • (y2)) - 8) - (6 - 2y2) = 0

(2y2 - 8) - (6 - 2y2) = 0

Pull out like factors :

4y2 - 14 = 2 • (2y2 - 7)

4.2 Factoring: 2y2 - 7

difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

2 • (2y2 - 7) = 0

5.1 Solve : 2 = 0

5.2 Solve : 2y2-7 = 0

Add 7 to both sides of the equation :

2y2 = 7

Divide both sides of the equation by 2:

y2 = 7/2 = 3.500

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

y = ± √ 7/2

Answer:

10000

Step-by-step explanation:

The number that should fill in the blank is 10. Therefore, the complete equation is 0.05 × x = 0.5.

Given that, 0.05 × ----- = 0.5.

To multiply decimals, first, multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.

Let the number should fill in the blank be x.

So, 0.05 × x = 0.5

⇒ x = 0.5/0.05

⇒ x = 10

The number that should fill in the blank is 10. Therefore, the complete equation is 0.05 × x = 0.5.

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Answer:

i say it would be "None of these"

Step-by-step explanation:

because say x=sisters age so, x=12     if lisa if 4 years youger, than x-4=8    (x-4)-x=(-2)      x-(x-4)=4      (x+4)-x=4    so therefore it would be none.

Answer:

none of these

Step-by-step explanation:

because we don't know her sisters age we'll use "x" and Lisa is 4 years younger so you deduct 4 from x and the equation will be '4-x'

The factoring of the expression 4 x²=-8 x+5 is (2x-1) (2x+5)

By ordering the values, we get:

4 x² + 8 x - 5

To solve this exercise, we have to follow the rules of factoring:

1. Factor 8 from 8x:

4 x² + 8 x - 5

4 x² + (-2 + 10) x - 5

2. Apply the distributive property:

4 x² - 2x + 10x - 5

3. Groups the first two terms and the last two terms:

(4 x² - 2x) + 10x - 5

4. Factorize the greatest common denominator (GCM) of each group:

2x(2x - 1) + 5(2x-1)

5. Factor the polynomial by factoring the greatest common denominator, (2x-1):

(2x-1) (2x+5)

Is a technique that consist of decomposition of a factor into a product of another factor, which when multiplied together give the original number.

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Answer:

y=-2x-1

Step-by-step explanation:

y=mx+b

-7=-2(3)+b

-7=-6+b

-1=b

y=-2x-1

Answer:

B store is cheaper since 790.56<823

B price<A price

Step-by-step explanation:

A:

549(0.5)=274

264+549=823

Josh need to pay the refrigerator for $823 in this store without tax.

B:

549(0.6)= 329.4

329.4+549=878.4

878.4(09)=790.56

Josh need to pay $790.56 in this store without the tax.

C:

B, department store is cheaper so he could pay less

Answer:

-4

Step-by-step explanation:

-12+3(-8+(-4)^2-6)+2

first the -4^2

-12+3(-8+16-6)+22

now everything in the parenthesis

-12+3x2+2

now the multiplying.

-12+6+2

now calculate this all together.

-4

Answer:

#2 Alternate interior angles: 4 & 5 and 3 and 6

#4 :

m∠6 = 55°

m∠3 = 55°

m∠1 = 125°

Reasons: See below

Step-by-step explanation:

Angles 6 and 8 are supplementary angles since they are on the same straight line intersected by another straight line.

So m∠6 + m∠8 = 180
m∠6 + 125 = 180
m∠6 = 180-125= 55°

Angles 3 and 6 are alternate interior angles and equal to each other
m∠3 = m∠6 = 55°

Angles 1 and 3 are supplementary angles whose sum of measures should add up to 180°
m∠1 + m∠3 = 180
m∠1 + 55 = 180
m∠1 = 180-55 = 125°

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