Simplify the following expression: -9x+8+2x-6*

ln e⁸³ = 83, by definition and properties of logarithm.

Now,

In the question, ln (e)⁸³, a = e

By property of logarithms, [tex]log_b(a)^{m}=m(log_b(a))[/tex],

=> 83 (ln (e)) = 83 [tex]log_e(e)[/tex]

Since, [tex]log_e(e)[/tex] = 1, ln (e)⁸³ = 83 (1) = 83.

Hence, ln e⁸³ = 83, by definition and properties of logarithm.

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Answer:

So when you add 2 plus to it equals 2 adrew tates kissing.

Step-by-step explanation:

Neither of Nicole and Kiri are correct that evaluating the conditional If 15 is a prime number, then 20 is divisible by 4.

Nicole reasoning is incorrect because despite the fact that 20 is divisible by 4, it does not mean the conditional is true. The conditional states that “15 is a prime number”- this is incorrect. Because this is incorrect the validity of the conclusion does not justify the validity of the hypothesis. Kiri’s reasoning is inaccurate despite the fact that his explanation of the hypothesis is correct, the hypothesis has no direct implication on the conclusion.

Hence, their belief that the conditional is true are both wrong. A conditional is only true if the premise for that conditional is first true in itself and also directly affects the conclusion.

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The required expression that is equivalent to (6^-3/3^-2x6^2) to the 3rd power is 3^3/2^3.

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is,

(6^-3/3^-2x6^2)to the 3rd power

or, we can write

(6^-3/3^-2x6^2)^3

Since, a^-1 = /a

Therefore we have

6^-3 = 1/6^3

3^-2 = 1/3^2

Therefore we get,

{(1/6^3)/(1/3^2) x 6^2}^3

Simplifying we get

{(3^2/6^3) x 6^2}^3

or, {(3^2  x 6^2)/6^3}^3

Solving we get

(3^2/6)^3

Now since,

3^2 = 9

Put in expression we get

(9/6)^3

or, (3/2)^3

therefore we get,

3^3/2^3

this is the required expression that is equivalent.

Thus, the required expression that is equivalent to (6^-3/3^-2x6^2) to the 3rd power is 3^3/2^3.

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Answer:

the arithmatic mean of 5 and 19 is: 5,7,9,11,13,15,17,19.

Step-by-step explanation:

hope this helps

Express 8 as a product of its prime factors. Write it in index form and apply the power rule: (a^m)^n = a^mn

8 = 2x2x2 = 2^3

(2^3)^2/3 = 2 ^ 3x2/3 = 2^2

=4

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Answer:

the total area of the enlarged garden is 324 square feet

Step-by-step explanation:

Lisa square garden has an area of 64 square feet. The formula for determining the area of a square is expressed as

Area = Length²

Length = √Area

Therefore, Length of each side of Lisa's garden is

√64 = 8 feet.

Lisa increases each side of her square garden by 5 feet. It means that the length of each side of the enlarged garden is 8 + 5 + 5 = 18 feet

Therefore, the total area of the enlarged garden would be

18² = 324 square feet

The distance, d = v²/64.

Let 'v' denote the velocity of an object dropped from a tall building.

Let 'd' be the distance the object has dropped.

Given that the relation between v and d is, v =√(64d)

This equation gives 'v' in terms of 'd'.

We need to solve this formula for d.

For this, consider v =√(64d)

We square on both sides to get rid of the square root.

⇒ v² = 64d

Now isolating d to one side of the equation,

⇒ d = v²/64 is the formula for d

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The equivalent expression of the expression given as 0.75/9 * 0.75/3 is 1/48

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

0.75/9 * 0.75/3

Evaluate the product of the numerators

So, we have

0.75/9 * 0.75/3 = 0.5625/9 * 1/3

Evaluate the product of the denominators

So, we have

0.75/9 * 0.75/3 = 0.5625/27

Simplify the fraction

So, we have

0.75/9 * 0.75/3 = 0.0625/3

Further simplify

So, we have

0.75/9 * 0.75/3 = 625/30000

Further simplify

So, we have

0.75/9 * 0.75/3 = 1/48

Hence, the equivalent expression of the expression given as 0.75/9 * 0.75/3 is 1/48

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Answer:

39

Step-by-step explanation:

2×4²+7
2×16+7

32+7=39

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The statements which must be true of triangle RST are;

According to the stated premises;

m∠R > m∠S + m∠T

This in turn means that the angle measure of ∠R > angle measure of ∠S and ∠T.

Therefore, we can conclude that; m∠R > 90° and m∠S + m∠T < 90°

As such, certainly, m∠R > m∠T and m∠R > m∠S

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The missing value of inverse variation is 0.5

The inverse variation property states that , whenever the product of values of two quantities is a constant value then there is opposite variation between these two corresponding values. Or we can also say that if the productive nature of two corresponding values is constant, then one quantity is inversely varies with second quantity.

Let say if x and y are two values and k is a constant value, then

According to inverse variation

k = xy or y = k/x

In the given question,

Take the order pair (4,1.5)

As it is an inverse variation, we can substitute it

y=k/x  

1.5=k/4

K=6

Now find the inverse variation equation

y=k/x

Also, k=6

Solve this equation for the second pair (x,12)

As, y=6/x

   x = 6/12 = 1/2 = 0.5

Therefore, missing value is 0.5

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Answer: angels that lie between two lines and are intersected by a transversal.

Step-by-step explanation:

Answer:

m<1 = 148

m<4 = 32

Step-by-step explanation:

<1 and <7 are alternate exterior angles. By the Alternate Exterior Angle Theorem, <1 and <7 are congruent and therefore m<1 = m<7. So m<1 = 148 degrees.

<3 and <7 are corresponding angles. By the Corresponding Angles Postulate, <3 and <7 are congruent and therefore m<3 = m<7. So m<3 = 148 degrees. <3 and <4 form a linear pair, and by the Linear Pair Postulate, <3 and <4 are supplementary and therefore m<3 + m<4 = 180. So m<4 = 180 - m<3 = 180 - 148 = 32 degrees.

The factors of 2 x²-19 x+24 are x = 3/2 and x = 8

Factorization in mathematics is the process of dividing a large number into smaller ones that, when multiplied together, give you the original number. Factorization is the division of a number into its factors or divisors. The factorization of the integer 12, for instance, may appear as 3 times 4.

Given,

2 x²-19 x+24

By factorization,

⇒ 2x² - 16 x - 3x + 24

⇒ 2x (x-8) - 3 (x - 8)

⇒ (2x - 3) (x-8)

⇒ x = 3/2 and x = 8

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Answer:

Hope this helps with your question :)

B

Step-by-step explanation:

This is because in the slope-intercept form,

y = mx + b, the m = slope, and the b = y-intercept. So the final answer would be

y = 1/2x - 5

Answer:

20 years

Step-by-step explanation:

jeff's age = x

pete's age = x+10

in 5 years time

2(x+5) = x+10+5

thus x=5 therefore

pete's age in 5 years will be 20

Answer:

[tex]h = G + \frac pf[/tex]

Step-by-step explanation:

[tex]G = h - \frac pf \text{ / Add }\frac pf \text{ to both sides}\\\\G + \frac pf = h - \frac pf + \frac pf\\\\G + \frac pf = h[/tex]

Answer:

hatch

Step-by-step explanation:

the hatch marks on the triangle represent the same length

if a side has one hatch mark it has the same length as the other side with one hatch mask

the same goes for the one with two hatch marks

Using inverse variation, the function model will be y = 48. 1/x and the value of y at x = -5 will be -48/5

Those with inverse properties cancel each other out. In other words, f(g(x)) = g(f(x)) = x if g(x) is f's inverse (x). We have a great approach we can use to achieve this given an equation for which we desire the inverse.

Not every action has an equivalent. It is obvious that f(x) will never again have the same value if it has an inverse. We designate a unique name for this resource.

Inverse variation is y = k. 1/x

given y = 4

x = 12

So, 4 = k. 1/12

So, the value of k = 48

We can conclude that the value of constant variation is 48

when x = -5, the value of y will be -

y = k.1/x

y = 48 . 1/-5

y = -48/5

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Answer:

cos4θ=8cos^4θ−8cos^2θ+1

Step-by-step explanation:

The solution for x in the equation -128 = 4x is -32

The collection of values used to replace the unknowns in an equation to make it true is known as the solution. Two fundamental algebraic laws, the additive property and the multiplicative property, are utilized to find the solutions to equations with a single unknown raised to a single power.

Given that,

The equation: -128 = 4x

We have to find x:

That is:

-128 = 4x

x = ( -128 / 4 )

x = -32.

Therefore, the solution for the given equation -128 = 4x is -32.

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Answer:

use an app for it.

Answer: y = x + 4.

Reason: -2 + 4 = 2 and -1 + 4 = 3 so, any equation added with 4 would be y or x + 4 = y.

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The radius of the new parking area is 71cm. (option b)

The liters of sporting drinks they have with them is 30 liters (option d).

A circle is a bounded figure which points from its center to its circumference is equidistant. The area of a circle is the area that is bounded in a circle.

Area of a circle = πr²

Where :

22/7 x 123² = 47,548.286 m²

When the parking area is reduced by 1/3. its new area is: 1/3 x 47,548.286 m² = 15,849.429 m²

The radius of the reduced parking lot:√ (7/22 x 15,849.429 m²) = 71m

The first step is to determine the volume of one of the packages.

Volume of a rectangular prism = length x width x height

6 x 4 x 10.5 = 252 cm³

Now, the volume of the 120 packs of sports drinks have to be determined:

120 x 252 cm³ = 30,240cm³

The last step is to convert cm to liters

1 cm = 1 /1000 liters

30,240 / 1000 = 30 liters

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