Using the law of exponents to solve:
A) -i
B) -1
C) 1
D) i

3[tex]x^{-1}[/tex] = 72 => x = 0.4167, by basic algebra.

Given: 3[tex]x^{-1}[/tex] = 72

=> [tex]x^{-1}[/tex] = [tex]\frac{72}{3} =[/tex] 24

=> [tex]\frac{1}{x}=24[/tex]

=> x = 0.4167

Hence, 3[tex]x^{-1}[/tex] = 72 => x = 0.4167, by basic algebra.

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Answer:

1:2

Step-by-step explanation:

Answer:

press the stars.

Step-by-step explanation:

Michelle’s overtime hourly payment is 35.22

Given that ,

Equation represents Michelle’s regular hourly and overtime wage

= 130 (x – 38) + 950% > 38

We have to find Michelle’s overtime hourly payment.

Let’s solve the above given equation:

130 (x – 38) + 950% x 38 = 0

130x – 4940 + (950/100) x 38 = 0

130x – 4940 + 9.5 x 38 = 0

130x – 4940 + 361 = 0

130x – 4579 = 0

130x = 4579

X = 4579 / 130

X = 35.22

That is, Michelle’s overtime hourly payment is 35.22.

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The length and distance across the canyon is 5196.15 feet and it is more than 1 mile.

a) To find the length of canyon, we will sine function. As per the sine theta = length of opposite side ÷ hypotenuse. Keep the values in formula to find the hypotenuse, which is the length of the canyon wall.

sin 60 = 4500 ÷ hypotenuse

Hypotenuse = 4500 ÷ (✓3/2)

Hypotenuse = 4500 × 2 ÷ ✓3

Hypotenuse = 9000 ÷ ✓3

Hypotenuse = 5196.15 feet

The length of the canyon wall is 5196.15 feet.

b) To find the distance across the canyon, we will use cosine function. As per the cos theta = base ÷ hypotenuse. Keep the values in formula to find the base, which is half the length of the distance across the canyon.

cos 60 = base ÷ 5196.15

cos 60 × 5196.15 = base

Base = (1/2) × 5196.15

Base = 2958.075 feet

Total distance across the canyon = 2958.075 + 2958.075

Tota distance across the canyon = 5196.15 feet

c) Using the relation, 5280 feet = 1 mile

5196.15 feet = 5196.15 ÷ 5280 mile

5196.15 feet = 1.12 miles

So, distance across the canyon is more than 1 mile.

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The numbers that fits into the equation X² = 100 are -10 and 10.

It should be noted that squares simply means multiplying a number by itself.

In this case, X² = 100.

Therefore, the numbers that fits X will be:

X² = 100

Square root both sides

X = ✓100

X = 10

Also, it should be noted that (-10)² = 100

Therefore, the numbers that fits into the equation X² = 100 are -10 and 10.

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Answer:

Check options down below!

Step-by-step explanation:

If solving for n:

n = -m/2 - 5/6

If solving for m:

m = -2n - 5/3

Answer:

Not enough info.

Step-by-step explanation:

The value of the composite function f o g (x) is x² - 3 x - 3.

We have the functions:

f (x) = x + 1 and g (x) = x² - 3 x - 4

We need to find the composite function:

f o g (x)

= f ( g (x) )

Substituting the values, we get that:

= ( x² - 3 x - 4 ) + 1

= x² - 3 x - 4 + 1

= x² - 3 x - 3

Therefore, the value of the composite function f o g (x) is x² - 3 x - 3.

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The height of each story based on the information is 10 feet.

It should be noted that from the information given, the storey building as a roof of 6 feet and the height of the house is 26 ft.

Therefore, the height of each story will be:

= (26 - 6) / 2

= 20 / 2

= 10 feet

Therefore, the height of each story based on the information is 10 feet.

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A 2 storey building as a roof of 6 feet.. The height of the house is 26 ft. What is the height of each story

Answer:

30

Step-by-step explanation:

6(2) + 10(3) - 2(2)(3)
12 + 30 - 2(6)
42 - 12
30

The value of the expression 6y + 10z - 2yz when y = 2 and z = 3 is 30.

Given the expression in the question:

6y + 10z - 2yz

y = 2

z = 3

To determine the value of the expression 6y + 10z - 2yz, we simply substitute y = 2 and z = 3 into the expression and then simplify.

6y + 10z - 2yz

Plug in y = 2:

6( 2 ) + 10z - 2(2)z

Plug in z = 3:

6( 2 ) + 10( 3 ) - 2(2)(3)

Simplifying, we get:

12 + 30 - 12

Add 12 and 30:

42 - 12

Subtract 12 from 42:

30

Therefore, the value of the expression is 30.

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The given expressions and their verbal descriptions (meaning) are as follows;

The given mathematical expressions and their correct verbal expressions or meaning are as follows;

2•(x - 3) can be described as two times or twice the difference between x and 3

[tex]x + \frac{3}{4} [/tex]

The above mathematical expression can be described as three fourths added to x, which is the same as; three fourths more than x.

'5 + x' can be described as the sum of five and x, which is the same as the sum of five and the number, x.

[tex] \frac{3}{4} \cdot x[/tex], The expression means the product of three fourths and x, which is the same as three fourths part of x.

5 - x can be written as the difference between five and x, which is the same as five less x

x - 5 can be written as the difference between x and 5, which means a number that is 5 less than x

2•x - 3 can be written as two times x minus three, which can be described as twice x minus three

[tex] \frac{5}{x} [/tex] can be written as fI've divided by x. which can be written as the quotient of 5 and x

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The values, which when substituted for x in the expression √x , would result in an irrational number are:

In Mathematics, there are six (6) common types of numbers and these include the following:

An irrational number can be defined a type of number which comprises non-terminating or non-repeating decimals such as the square root of 168, 2, 8, 21, π, 11.

In conclusion, when a perfect square or 4 is substituted for x in the expression √x, the result is not an irrational number because it is neither a terminating nor a repeating decimal.

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Complete Question:

Which values, when substituted for x in the expression √x, will result in an irrational number? Select all that apply.

x = 168

x = 2

x = 8

x = 21

x = π

x = 4

when x is a perfect square.

By the use of algebra properties, the expression (- 3 · m⁻⁴) · (- 5 · m⁷) is equivalent to 15 · m³.

In this question we find a product of two monomials, each monomial has a constant, a variable and a grade and the entire expression must be simplified by means of algebra properties. The complete procedure of simplification is now presented:

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The result of simplifying each number 10¹/₂ . 10¹/₂ using the exponent rules is 10

To solve this exercise we have to resolve algebraic operations following the exponent rules.

10¹/₂ . 10¹/₂

Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:

10(¹/₂⁺¹/₂)

10(²/₂)

10¹

10

In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.

Example: 3² = 3*3 = 9

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Answer:

enlargement

Step-by-step explanation:

if scale factor > 1 then enlargement

if scale factor 0 < SF < 1 then reduction

here SF = [tex]\frac{6}{5}[/tex] = 1.2 > 1 so enlargement

Answer:

Enlargement

Step-by-step explanation:

Due to the scale factor properties stating that a SF value must be more than one to become an enlargement factor, we know that 6/5 is more than one whole. Thus, the SF is enlargement.

Answer:

A

Step-by-step explanation:

each step has added one extra side you might have trouble thinking it’s d but the pattern is x color (I’m colorblind) blue x blue so your answer is a

Answer:

Given the length of all 3 segments is 38, we are counting two-thirds of 38. You would find this by multiplication.

Step-by-step explanation:

Conversion to improper fractions/Simplification

[tex]\frac{38}{1} \times \frac{2}{3} = \frac{76}{3}\\\\\frac{76}{3} = 76 \div 3 = 25\frac{1}{3}[/tex]

Therefore, HN = [tex]\sf 25\frac{1}{3}[/tex]

Answer: y = 25x + b

Step-by-step explanation:

Justin borrow $6,000 from a credit union for 2 years.

What is Principal amount?

The amount of money initially borrowed from the lender, and as the loan is repaid, it can also refer to the amount of money still owed, is called Principal amount.

Given that;

Simple interest = $840

Time = 2 years

Annual rate = 7%

Now, The formula for calculate the principal amount is,

Simple interest = Principal amount × Rate × time / 100

Principal amount = Simple interest × 100 / Rate × time

Hence,

Principal amount = 840 × 100 / 7 × 2

Principal amount = 84,000 / 14

Principal amount = $6000

So, Justin borrow $6,000 from a credit union for 2 years.

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The inverse function of the function y = log₂ 4x is f ⁻¹(x) = 2ˣ/4.

Given the function is :

y = log₂4x

we are asked to find the inverse of the function.

steps to find inverse function are:

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

x = log₂4y

the next step is to isolate the dependent variables.

f ⁻¹(x) = 2ˣ/4

hence, we get the inverse of the given function as f ⁻¹(x) = 2ˣ/4

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Answer:

AWSOME IMAGE!

Step-by-step explanation:

You make it??!!!

Answer: AIght thx for the points

Step-by-step explanation:

Both numbers are rational numbers, so the correct answer is (C).

So,

39/7 is already a rational number as it is already in a fraction with a denominator not equal to zero.

Therefore, both numbers are rational numbers, so the correct answer is (C).

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According to the given solving we can say that both numbers are rational.

The correct option is C.

The ratio or fraction among two numbers, p/q, where both p and q are the numerator and denominator, respectively, can be expressed as a rational number. For example, 3/7 and any integer represent rational numbers..

Rational numbers can really be expressed as ratios (such P/Q and Q0), while irrational numbers can indeed be expressed as a fraction. Both of these numbers, nevertheless, are real and can be displayed on a number line.

39/7 and-0.3287

The decimal number as a fraction:

0.3287  = 0.3287/1

this can be written as:

[tex]\frac{0.3287}{1}[/tex] x [tex]\frac{1000}{1000}[/tex]  = [tex]\frac{3287}{1000}[/tex]

So we can say that:

-0.3287 = [tex]\frac{-0.3287}{1000}[/tex]

According to the given solving we can say that both numbers are rational number.

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Answer: $4.8

Step-by-step explanation:

80*0.06=4.8