MATHEMATICS HIGH SCHOOL

Which of these is the algebraic expression for "nine less than some number?"9 / k
k / 9
9 − k
k − 9

Answers

Answer 1
Answer: 9 less than means decrease by 9 or minus 9 or -9
9 less than some number (k) means k-9


las one
Answer 2
Answer: Its either k-9 or 9-k I would go with k-9

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Multiply 3⁄4 × 16⁄9 .
A. 64⁄27
B. 3⁄4
C. 27⁄64
D. 4⁄3

Answers

Answer:

Option D (4)/(3)

Step-by-step explanation:

we know that

The product of two fractions is equal to the product of the numerators divided by the product of the denominators

so

(3)/(4)*(16)/(9)=(3*16)/(4*9)\n \n=(48)/(36)\n \n=(24)/(18)\n \n=(4)/(3)
I believe that the answer to this question is D. 4⁄3

1) Alicia's gross monthly pay is $1,700.Alicia pays 5.7% of her monthly salary for
Social Security. How much does Alicia
pay?
A $0.96
C $96.90
B $9.69
D $969.90

Answers

Answer:

96.90

Step-by-step explanation:

1700x.0570=96.90

In the above figure (not drawn to scale), Find ∠AEC. A. 150°
B. 90°
C. 75°
D. 105°

Answers

Answer:

C. 75°

Step-by-step explanation:

We have been given a circle and we are asked to find the measure of angle AEC.

We will use Intersecting chords theorem to find the measure of angle AEC, which states that measure of angle formed inside a circle by two intersecting chords is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle.

We can see that measure of arc AC is 110 degrees and measure of its vertical arc BD is 40 degrees.

m\angle AEC=(110^o+40^o)/(2)

m\angle AEC=(150^o)/(2)

m\angle AEC=75^o

Therefore, measure of angle AEC is 75 degrees and option C is the correct choice.

Answer : C. 75°

Given : arc length AC=110, CB=20, AD=190, and BD=40

We need to find ∠AEC

The below is the formula for measure of an angle formed by two chords

∠AEC = (1)/(2) ( arc AC + arcBD)

We know arc AC = 110 and arc BD = 40

So ∠AEC = (1)/(2) ( 110 + 40)

= (150)/(2) = 75

∠AEC = 75 degrees

Which expression is a difference of cubes?
X^6-6
X^6-8
x^8-6
X^8-8

Answers

Answer: The correct expression is, x^6-8

Step-by-step explanation:

x^6 is represented in cube form as, (x^2)^3

'8' is represented in cube form as, 2^3

x^8 and '6' will not show cube form of integer power.

The expanded form of the given expression, x^6-8 is represented as,

x^6-8=(x^2)^3-2^3

This expression will showing the difference of cubes.

And the other options, x^6-6,x^8-6,x^8-8 will not show the difference of cubes.

Therefore, the correct answer is, x^6-8

The expression \boxed{{x^6} - 8} is a difference of cubes. Option (b) is correct.

Further Explanation:

The cubic formula can be expressed as follows,

\boxed{{a^3} + {b^3} = \left( {a + b} \right)\left( {{a^2} - ab + {b^2}} \right)}

Given:

The options are as follows,

(a). {x^6} - 6

(b). {x^6} - 8

(c). {x^8} - 6

(d). {x^8} - 8

Calculation:

8 is a cube of 2 and can be written as follows,

8 = {2^3}

{x^6} can be written as a cube of {x^2}.

{x^6} = {\left( {{x^2}} \right)^3}

Use the identity {a^3} + {b^3} = \left( {a + b} \right)\left( {{a^2} - ab + {b^2}} \right) in above expression.

\begin{aligned}{x^6} - 8&= {\left( {{x^2}} \right)^3}- {\left( 2 \right)^3} \n&= \left( {{x^2} - 2} \right)\left( {{x^4} + 2{x^2} + 4} \right)\n\end{aligned}

The expression \boxed{{x^6} - 8} is a difference of cubes. Option (b) is correct.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

1. Learn more about unit conversion brainly.com/question/4837736

2. Learn more about non-collinear brainly.com/question/4165000

3. Learn more aboutbinomial and trinomial brainly.com/question/1394854

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Exponents and Powers

Keywords: Solution, factorized form, x^12y^18+1, exponents, power, equation, power rule, exponent rule.

8x = 3x + 15 AND 7x - 1 = 3x + 7

Answers

solving for x gives
8x = 3x + 15
5x = 15
x = 15/5 = 3

AND
7x - 1 = 3x + 7
4x = 8
x = 8/4 = 2

Destiny performs a hypothesis test on a population with µ = 115 and mc009-1.jpg. Her sample size is 25 with a mean of 120.4. Which of the following correctly depicts the z-statistic for this data?

Answers

Z-statistic is a statistical technique used to measure and the same time identify the position of a sample mean in the given population. 

Statistics is a branch of mathematics which is the scientific study of mathematical values pertaining to qualitative descriptions and transcribe them into quantifying values such as the descriptive statistics and infuses these quantities in the field of inferential statistics.

Answer:

the answer is b. 0.90
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