Which expression is equivalent to \frac{r^9}{r^3}

Answers

Answer 1

Answer: [tex]\frac{r^9}{r^3} = r^{9-3} = r^6[/tex]

We subtract the exponents when dividing terms with the same base.

The general rule is [tex]\frac{a^b}{a^c} = a^{b-c}[/tex]

Answer 2

Hii!

___________________________________________________________

[tex]\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup[/tex]

r^6

[tex]\rightsquigarrow\circ\boldsymbol{Explanation}\circ\leftharpoonup[/tex]

To simplify this we need to use the division property of exponents:

[tex]\large\boxed{\mathtt{\frac{x^m}{x^n} =x^{m-n}}}[/tex]. So if we divide two numbers with the same base, we subtract their exponents.

Let's apply this rule here.

[tex]\twoheadrightarrow\sf r^9\div r^3[/tex].

[tex]\bullet[/tex] Since these two numbers have the same base, we subtract their exponents

[tex]\twoheadrightarrow\sf r^6[/tex]

[tex]\bullet[/tex] Great job! We found the answer

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Hope that this helped! Best wishes.

[tex]\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}[/tex]

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Related Questions

A 2-column table with 6 rows. The first column is labeled t with entries negative 3, negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries negative 12, m, 4, 0, negative 4, negative 2. If the table of the function contains exactly two potential turning points, one with an input value of –1, which statement best describes all possible values of m? m ≥ –12 –12 < m < 4 m ≤ 4 m ≥ 4 or m ≤ –12

Answers

Answer: obviously 9

Answer:

B

Step-by-step explanation:

right on edg3

Its math please help

Answers

Answer:

g

Step-by-step explanation:

for this function, we put in the value of "g" (because it is the cause of the function--it is the independent variable [it changes; and it doesn't rely on something else to change] )

so, because the part independently changing is the gas used, that is our input of this graph.

(you can imagine this to be a graph, which typically has the independent variable that we are directly changing--x--along the x-axis, which is where we would place g.)

hope this helps!!

What quadrant is the point (2, -5) in?

Answers

Answer:

quadrant 4

Step-by-step explanation:

(2,-5) would be in the 4th quadrant

Which of the following could be the equation of the function below?

y = -3 sin (2 (x + pi)) + 2
y = -3 sine (x + pi) + 2
y = 3 sin (4 (x - pi)) + 4
y = 3 sin (2 (x + pi)) + 2

Answers

The equation of the sine function will be y = -3 sin [2(x + π)] + 2. Then the correct option is A.

What is a sinusoidal Function?

It is a function that repeats itself in a particular time interval.

The equation is given as

y = A sin (ωx + Ф) + C

Where A is the amplitude, ω is the frequency, Ф is the phase difference, and C is the constant.

From the graph, we have

A = -3

ω = 2

Ф = 2π

C = 2

Then we have the equation will be

y = -3 sin [2(x + π)] + 2

Then the correct option is A.

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Jej pls help someone didnt get right b4 i give 50 points

Answers

Answer:

Mixed Number: 11 1/5

Improper Fraction: 56/5

Step-by-step explanation:

Given:

It takes 3/7 tonnes of sand to make a tonne of concrete.

Mason has 4 4/5 tonnes of sand.

To Find:

How much concrete, in tonnes, can he make?

Give your answer as a fraction in its simplest form.

Solve:

By the given , takes 3/7 tonnes of sand = tonne of concrete.

Thus, we divide the total of tonnes of sand Mason have by how many it takes to make a tonne of concrete.

Hence, we have;

[tex]4\frac{4}{5}\div \frac{3}{7}[/tex]

Convert to improper fraction;

[tex]=\frac{24}{5}\div \frac{3}{7}[/tex]

Using the fraction rule;

[tex]\frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}[/tex]

[tex]=\frac{24}{5}\times \frac{7}{3}[/tex]

Cross-cancel common factor - 3

[tex]=\frac{8}{5}\times \frac{7}{1}[/tex]

Multiply fraction:

[tex]=\frac{56}{5}[/tex]

Convert improper to mixed number:

[tex]=11\frac{1}{5}[/tex]

Hence, the answer is [tex]\mathrm{11\frac{1}{5}\;or\;\frac{56}{5} }[/tex]

RevyBreeze

Answer:

[tex]\rm Improper \ fraction : \sf \sf \dfrac{56}{5} \ of \ concrete[/tex]

[tex]\rm Mixed \ fraction: \sf 11\dfrac{1}{5} \ of \ concrete[/tex]

Explanation:

[tex]\sf concrete = total \ tones \ of \ sand \ \div \ unit \ rate \ of \ sands \ required \ to \ make \ concrete[/tex]

Here given:

total tones of sand = 4 4/5unit rate of sand required = 3/7

Concrete:

[tex]\sf \rightarrow 4\dfrac{4}{5} \div \dfrac{3}{7}[/tex]

[tex]\rightarrow \sf \dfrac{24}{5}\div \dfrac{3}{7}[/tex]

[tex]\rightarrow \sf \dfrac{24}{5}\times \dfrac{7}{3}[/tex]

[tex]\rightarrow \sf \dfrac{56}{5}[/tex]

[tex]\rightarrow \sf 11\dfrac{1}{5}[/tex]

In studies that use more than one data collector, how is the consistency of the data evaluated?.

Answers

In order to evaluate consistency in studies with more than one data collector, the Inter-rater reliability is used.

What is the Inter-rater reliability?

This is a measure in research that is used to test the data presented by different data collectors, for consistency.

It essentially checks the extent to which the data collected from the different sources agree with each other.

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Solve for x
3x² - 5x + 6 = 10 - 4x​

Answers

Answer: [tex]-1, \frac{4}{3}[/tex]

Step-by-step explanation:

[tex]3x^{2}-5x+6=10-4x\\\\3x^{2}-x-4=0\\ \\ (x+1)(3x-4)=0 \\ \\ x=\boxed{-1, \frac{4}{3}}[/tex]

Answer:

x = -1
x = 4/3

Step-by-step explanation:

Hello!

First, let's convert the equation into Standard Form: [tex]ax^2 + bx + c = 0[/tex]

[tex]3x^2 - 5x + 6 = 10 - 4x[/tex][tex]3x^2 - x - 4 = 0[/tex]

We can solve this by factoring the quadratic. We have to find two numbers that multiply to [tex]ac[/tex] but add up to [tex]b[/tex].

ac = -12b = -1

The two numbers would be -4 and 3. We can expand -x to -4x + 3x, and then factor by grouping.

Factor[tex]3x^2 - x - 4 = 0[/tex][tex]3x^2 +3x - 4x - 4 = 0[/tex][tex]3x(x + 1) - 4(x + 1) = 0[/tex][tex](3x - 4)(x + 1) = 0[/tex]

Use the Zero Product Property. Set each factor to zero and solve for x.

3x - 4 = 03x = 4x = 4/3

x + 1 = 0x = -1

The solutions to the quadratic are -1 and 4/3.

What is the value of p?

Answers

Answer:

p =43

Step-by-step explanation:

Finding the angle in a triangle

The angle next to 133, angle a,  is 180-133 = 47 because the angles form a straight line

The angle next to 90, angle b, is 180-90 = 90,  because the angles form a straight line

We have a triangle.  The angles in a triangle equal 180 degrees

a+b+ p =180

47+90+p = 180

137 + p = 180

p = 180-137

p =43

Imagina that the cook is using a potato-chopping machine instead of a knife, allowing him to chop a maximum of 120 potatoes instead of 100. Which is the best estimate of the number of hamburgers he could cook if he chopped 100 potatoes with the machine

Answers

The number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.

What is the graph of the best estimate?

A mathematical notion called the graph of the best estimate connects points spread throughout a graph.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have shown a graph in the picture that shows the number of hamburgers cooked versus the number of potatoes chopped.

As we can see in the graph,

Number of potatoes chopped = 80

number of hamburgers cooked = 30

Number of potatoes chopped = 90

number of hamburgers cooked = 20

Number of potatoes chopped = 95

number of hamburgers cooked = 10

Number of potatoes chopped = 100

number of hamburgers cooked = 14 (best estimate)

Thus, the number of hamburgers he could cook is 14 if he chopped 100 potatoes with the machine option (B) is correct.

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If function g has the factors (x - 7) and (x + 6), what are the zeros of function g?

Answers

Function Equations

When a given function is written with factors in the form of ( x - r ), then r is a zero of the function.

Solving the Question

We're given:

Function g has factors (x-7) and (x+6)

Therefore, the zeros of the function are 7 and -6.

Answer

-6, 7

The zeroes of the function will be equal to ( 7, -6 ).

What is a quadratic equation?

It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given function:-

( x- 7 ) ( x+ 6 )

As we can see that the quadratic equation in the factorized form is ( x - 7 ) ( x+ 6 ) so we will equate each factor to zero.

( x- 7 )  = 0

x = 7

( x+ 6 ) = 0

x = -6

Therefore zeroes of the function will be equal to ( 7, -6 ).

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there are 48 students on the school bus, 28 girls and 20 boys. what is the ratio to girls to boys on the school bus?


A. 5:7
B. 7:5
C. 3:4

Answers

Answer:

eather a 5:7 or c 3:4

Step-by-step explanation:

i rlly do hope this helps and good luck

Answer: B) 7:5

Step-by-Step Solution:

No. Of Boys = 20
No. Of Girls = 28
Total No. Of Students = 48

Ratio of Girls to Boys
= 28/20
= 14/10
= 7/5
=> 7:5

Correct Option is C) 7:5

what is the area of the triangle formed from (0,1), (0,4), and (4,1)?

Answers

Answer:

6 square units

Step-by-step explanation:

base = 4 units

height = 3 units

 [tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}*base*height}[/tex]

                                  [tex]\sf =\dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square units[/tex]

Given :

Height of triangle = 3 unitsBase of triangle = 4 units

To Find :

Area of triangle

Solution :

[tex]\Large❏ \: \large\begin{gathered} {\underline{\boxed{ \rm {\blue{Area \: of \: triangle \: = \: \frac{1}{2} \: \times \: Base \: × \: Height }}}}}\end{gathered}[/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{2} \: \times \: Base \: × \: Height [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{2} \: \times \: 4 \: × \: 3 [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: \frac{1}{ \cancel2} \: \times \: \cancel{4} \: ^{\green2} \: × \: 3 [/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 2 \: \times \: 3[/tex]

[tex]\rm \large \red{\: Area \: of \: triangle }\large\purple\implies \tt \large \: 6[/tex]

Hence , the area of triangle is 6 units.


In which part of the graph is the distance from home decreasing?

Answers

Answer:

A) 2

Step-by-step explanation:

Because the slope is negative of line 2 the distance is getting smaller

Option A because the value is decreasing

If a polygon has an area of 25cm and is dilated by a factor of 3, what will be the area of the dilated polygon?

Answers

Answer:

225 cm²

Step-by-step explanation:

dilatation factor = 3 , then

area factor = 3² = 9

the area of the dilated polygon is then 9 times the area of the original so

area of dilated polygon = 9 × 25 = 225 cm²

Determine the x-intercept of the following equation.

(-x-2)(x-3)=y

Answers

Answer:

3,-2

Step-by-step explanation:

set y =0 and solve

(-x-2)(x-3)=0

the values 3, -2 solve the equation and are your x-intercepts

measurements are made on a raingauge at

Answers

Step-by-step explanation:

Most standard rain gauges have a wide funnel leading into the cylinder and are calibrated so that one-tenth of an inch of rain measures one inch when it collects inside.

Mr. Browner has 7 keys. He has 1 key
for his home, 2 keys for his car, and
the rest are for drawers in his office.
If Mr.
Browner picks one of his keys
without looking, what is the probability
it is for his car?

Options: 1/7, 2/7, 3/7, 5/7, 6/7

Answers

Answer:

2/7

Step-by-step explanation:

there are 7 total possibilities for the keys he picks, and out of those possibilities, 2 of them are car keys. this means the probability that it is for his car is 2/7.

[tex]\huge\mathscr\color{gold}\colorbox{black}{ANSWER:}[/tex]

[tex]{\qquad\qquad\qquad}[/tex]

You can choose Options: 2/7

[tex]__________________________________[/tex]

[tex]\large\mathcal\color{gold}\colorbox{black}{STEP-BY-STEP\: EXPLANATION:}[/tex]

[tex]{\qquad\qquad\qquad}[/tex]

Will i can choose 2/7 because 7 is probability keys he picks, and 2 keys he picks for looking a drawers in office to finding.

[tex]__________________________________[/tex]

Hope it helps

Correct me if I'm wrong

[tex]__________________________________[/tex]

[tex]\normalsize\color{brown}\boxed{☕TheQuestionner☕}[/tex]

HELP ANGJHHGG plssssssssssssssssssfghgg

Answers

Answer:

5377

Step-by-step explanation:

this is a vector question where how far is the Resultant. that is, it is determined by the magnitude of the Hypotenuse.

using Pythagoras theorem

Hypotenuse ²= Opposite ²+Adjacent²

Hypotenuse ²= 2865²+4550²

Hypotenuse ²= 8208225+20702500

Hypotenuse ²=28910725

Hypotenuse=√28910725

Hypotenuse=5376.86944234282

Hypotenuse= 5377 approximated


Find the lengths of sides marked with variables (x, y, w, z). Show all work

Answers

Answer:

1) 19.07 m, 2) 80.10 ft, 3) 56.79 m

Step-by-step explanation:

Use trigonometry to solve for unknowns.

1) Use sinesine = opposite leg / hypotenusesin 27° = x/42x = 42 sin 27°x = 19.07 m (rounded)

2) Use tangenttangent = opposite leg / adjacent legtan 23° = 34/xx = 34 / tan 23°x = 80.10 ft

3) Use cosinecosine = adjacent leg / hypotenusecos 48° = 38/xx = 38 / cos 48° x = 56.79 m (rounded)

#1

sin27=x/42x=42sin27x=19.07m

#2

tan23=34/xx=34/tan23x=80.1ft

#3

cos48=38/xx=38/cos48x=56.79m

Which quadratic equation is equivalent to (x-4)2-(x-4) - 6 = 0?

Answers

Answer:

x=4

Step-by-step explanation:

2x-8-x+4-6=0

or,2x-x-8+4=0

or,x-4=0

or,x=0+4

•°•x=4

ans

Answer:

x = 2 or 7

Step-by-step explanation:

(x-4)² - (x-4) - 6 = 0

x²-8x+16-x+4 -6 = 0

           x²-9x+14 = 0

           (x-2)(x-7) = 0

∴x = 2 or 7

cos2pi/7+cos4pi/7+cos8pi/7=1/8

Answers

An equation is formed of two equal expressions. The given equation is not true.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The complete question is: Check whether the given equation is true or not?cos2pi/7+cos4pi/7+cos8pi/7=1/8.


To know if the given equation, [tex]cos\dfrac{2\pi}{7}+cos\dfrac{4\pi}{7}+cos\dfrac{8\pi}{7}=\dfrac18[/tex] is true or not, both the sides of the equation are needed to be solved separately.

The value of [tex]cos\dfrac{2\pi}{7}+cos\dfrac{4\pi}{7}+cos\dfrac{8\pi}{7}[/tex] when simplified is equal to -0.5, or the value can be written as -(1/2).

Since the right side of the equation is equal to -1/2, while the right side of the equation is 1/8. Thus, the given equation is not true.

Hence, the given equation is not true.

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help its timed 12 pts​

Answers

Answer:

A

Step-by-step explanation:

I think your right!

Answer:

B

Step-by-step explanation:

I think it means the roots, at which the line crosses the x-axis, in which case, the answer is B, 0 and 1.4

Please find x! These are probably simple! ASAP pls! 2 problems!
1) 3 + x + (-7) ; x = 6
2) x + (-5) + 5; x = -3
17 points:)

Answers

The numeric values of the given expressions are given as follows:

1) 2.

2) -3.

How to find the numeric value of an expression?

We find the numeric value of an expression replacing all instances of x by the number.

The expression 1 is:

3 + x + (-7) = 3 + x - 7 = x - 4.

When x = 6, the value is:

x - 4 = 6 - 4 = 2.

The expression 2 is:

x + (-5) + 5 = x - 5 + 5 = x.

Hence, when x = -3, the value is:

x = -3.

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Which relation is a function?
{(-4,-7), (-9, 5), (4, -2), (-9, 0)}
{(-7, -7), (-2, 5), (−1, 6), (-2, −5)}
{(0, 1), (3, 2), (5, -3), (0, 2)}
{(-3, -2), (-1, 3), (0, -2), (3, 4)}

Answers

Answer:

Here's a little trick I learned in 8th grade. The first numbers don't matter all that matters are the 2nd numbers, and if you have 2 of the same kind of numbers then it's not a function so your answer would be B.

Please help thank you

Answers

Answer:

Line A: 4

Line B: -2

Step-by-step explanation:

Line A

Pick any two points from the graph such as (2, -1) and (3, 3)

Use the gradient formula to calculate the gradient:

Change in y/change in x

-1 -3/2-3 = -4/-1 = 4

The gradient of line A is 4

Line B

(1, -1) and (0, 1)

-1 - 1/1 - 0 = -2/1 = -2

The gradient of line B is -2

Answer:

Line A is 4.

Line B is -2.

Step-by-step explanation:

See attached image

What is the value of y?

Answers

I need an equation or something

Answer:

y

Step-by-step explanation:

the value of y may be y or on the alphabetic order 25th

Function h is a transformation of the parent exponential function. Which statement is true about this function?




As x approaches positive infinity, approaches 0.

As x approaches negative infinity, approaches positive infinity.

As x approaches positive infinity, approaches positive infinity.

As x approaches negative infinity, approaches negative infinity.

Answers

The statement that is true about this function is C. As x approaches positive infinity, h(t) approaches positive infinity

Calculations and Parameters

Given that we have:

The domainThe rangeThe function

Therefore, when x approaches to negative infinity,

[tex]\lim_{x \to \infty} h(x)[/tex]

= 2^(-∞-5)

= 2^(-∞)

= 1/2^∞

=0

Also, as x approaches negative infinity, function h(x) approaches 0.

Then when x approaches to positive infinity,

[tex]\lim_{x \to \infty} h(x)[/tex]

2^(∞-5)

= 2^(∞)

= ∞

Therefore, As x approaches positive Infinity, h(x) approaches positive infinity.

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Select the correct answer.
Edwin graphs the relationship of the gallons of milk he buys in terms of dollars.

Answers

The answer is c Sam buys gas at a slower rate of 3.4 mile per gallon

Find the equivalent exponential expression. (5^5)^4

Answers

Answer:

5^20

Step-by-step explanation:

since you have brackets around (5^5) you can multiply the exponents. if you think about it what you're essentially doing is

(5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) *

(5 * 5 * 5 * 5 * 5)

which is why you can multiply the exponents to simplify

You spin the spinner twice.
What is the probability of landing on a 7 and then landing on a number less than 9?

Write your answer as a fraction or whole number.

Answers

Answer:

1/3

Step-by-step explanation:

the answer is 1/3 because the probability of landing on a 7 is 1/3 and the probability of landing on any number less than 9 is 2/3. Then, you multiply the probabilities: 1/3 * 2/3 = 2/9 = 1/3

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