Evaluate 9x^2y^−2 for x = –3 and y = 2.

a)9(−6)^0
b)1/144
c)20 1/4
d)324

Answers

Answer 1

Answer:

c)20 1/4

Step-by-step explanation:

[tex]9x^{2}y^{-2}[/tex]

If We replace x by -3 and y by 2 we get  :

[tex]9\left( -3\right)^{2} \left( 2\right)^{-2}[/tex]

Or we have :

[tex]\left( -3\right)^{2} =9\ \text{and} \ \left( 2\right)^{-2} =\frac{1}{2^{2}} =\frac{1}{4}[/tex]

then

[tex]9\left( -3\right)^{2} \left( 2\right)^{-2}=9\times9\times\frac{1}{4} = \frac{81}{4}[/tex]

on the other hand :

[tex]\frac{81}{4} =\frac{80+1}{4} =\frac{80}{4} +\frac{1}{4} =20+\frac{1}{4}=20\frac{1}{4}[/tex]


Related Questions

could someone please help me urgent :((((
trinomial method factoring

Answers

#1

10m²+m-310m²-5m+6m-35m(2m-1)+3(2m-1)(5m+3)(2m-1)

#2

4x²-20x+254x²-10x-10x+252x(2x-5)-5(2x-5)(2x-5)(2z-5)

#3

6n²+26n-206n²+30n-4n-206n(n+5)-4(n+5)(6n-4)(n+5)

Answer:

d). (2m-1)(5m+3)

e). (2x-5)(2x-5)

f). (6n-4)(n+5)

Step-by-step explanation:

Solving by factorisation...

d). 10²+m-3

=> 10m²+6m-5m-3

=> 2m(5m+3)-1(5m+3)

=> (2m-1)(5m+3)

e). 4x²-20x+25

=> 4x²-10x-10x+25

=> 2x(2x-5) -5(2x-5)

=> (2x-5)(2x-5)

f). 6n²-20+26n

=> 6n²+26n-20

=> 6n²+30n-4n-20

=> 6n(n+5)-4(n+5)

=> (6n-4)(n+5)

explain what is a acute

Answers

Answer:

If you meant acute angle, an acute angle is an angle less than 90 degrees, normally greater than or equal to 15 degrees. Acute angles come in many forms.

__________________________________________________________

Questions?

Ask in comments.

Answer:

an acute is a type of angle I am learning acute in a 12:15 class

Step-by-step explanation:

Gas prices are projected to increase by 125% Over the next several years. If a gallon of gas currently costs $3.60. What is the projected cost of a gallon of gas?
(If you show work I will give brainliest)

Answers

$8.10 explanation: 125x3.6/100 = 4.5 4.5+3.6


2. True or false? You can only use graphing find the solution to a system of equations if all
the equations are linear.
True
False

Answers

Answer:

False

Step-by-step explanation:

Graphing tells you where the solution of the system, or graph intersection occurs no matter what. You can have a quadratic and exponential function -- graphing will always show you where they intersect (or don't!)

BRAINLIEST please if this helped!

Answer:

false

Step-by-step explanation:

hope this helps

Find the 16th term in the geometric series where the first term is 6 and the
common ratio is 2.

Answers

Answer: The first term of a GP is 6 if it's common ratio is 2 find the 6th term

The nth term is ar^(n-1)

So, for your GP, the 6th term is 6*2^5 = ___

Step-by-step explanation: 10:2021

The value of 16th term in the geometric series is,

⇒ 6th term = 192

What is Geometric sequence?

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The first term is 6 and the common ratio is 2.

Hence, We can formulate;

⇒ nth term = arⁿ⁻¹

⇒ 6th term = ar⁶⁻¹

⇒ 6th term = ar⁵

⇒ 6th term = 6 (2)⁵

⇒ 6th term = 6 x 32

⇒ 6th term = 192

Thus, The value of 16th term in the geometric series is,

⇒ 6th term = 192

Learn more about the geometric sequence visit:

https://brainly.com/question/25461416

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what is the circumference of a circle thats 9m in diameter

Answers

Answer:

9pi

Step-by-step explanation: The formula for circumference of a circle is 2*pi*r or the diameter times pi. Since you have the diameter, you can use diameter times pi and simply get 9pi

cos(x)(csc(x)+tan(x)) list steps

I just need every step, answer is not important. If you could explain each step, that would be awesome! one or two words is fine.

Answers

Answer:

[tex]\displaystyle \cos x \left(\csc x + \tan x\right) = \cot x + \sin x[/tex]

Step-by-step explanation:

We want to simplify:

[tex]\displaystyle \cos x \left(\csc x + \tan x\right)[/tex]

Recall that csc x = 1 / sin x and tan x = sin x / cos x. Substitute:

[tex]\displaystyle = \cos x \left(\frac{1}{\sin x} + \frac{\sin x }{\cos x}\right)[/tex]

Distribute:
[tex]\displaystyle = \frac{\cos x}{\sin x} + \frac{\cos x \sin x}{\cos x} \\ \\ \\ = \frac{\cos x}{\sin x} + \sin x[/tex]

Recall that cot x = cos x / sin x. Hence:

[tex]\displaystyle = \cot x + \sin x[/tex]

In conclusion:

[tex]\displaystyle \cos x \left(\csc x + \tan x\right) = \cot x + \sin x[/tex]

Consider the following diagram that displays a map of a set of circular running tracks in a park connected by a sidewalk that goes from point a on the circle that represents the outer track to the center of all the circles, k

more in the photo please help!

Answers

Answer:

Answer:

62.8 \: {m}^{2}62.8m

2

Step-by-step explanation:

Radius of outer circle = 6 m

Width of the track = 2 m

So, radius of inner circle = 6 - 2 = 4 m

Area of the track = Area of outer circle - Area of inner circle

\begin{gathered} = \pi {6}^{2} - \pi {4}^{2} \\ \\ = \pi( {6}^{2} - {4}^{2} ) \\ \\ = 3.14 \times (36 - 16) \\ \\ = 3.14 \times 20 \\ \\ = 62.8 \: {m}^{2} \end{gathered}

=π6

2

−π4

2

=π(6

2

−4

2

)

=3.14×(36−16)

=3.14×20

=62.8m

2

what is £15 reduced by 30%​

Answers

Answer:

10.5

Step-by-step explanation:

10% = 1.5

1.5 x 3 = 4.5

4.5 = 30%

15 - 4.5 = 10.5

£15-30%= 10.5

The answer is 10.5

What is the mean absolute deviation of the following set
of data?


2 2 2 2 2 2 2 2

Answers

Answer:

it will be an exponet

Step-by-step explanation:

2 over 8

Write an equation to find the value of x and solve it. Round your answer to the nearest tenth if necessary.

x =

Write your equation and explain how you came up with your equation and how you solved it. What concepts apply to this problem? How do you know your answer is correct?

Answers

Answer:

x = 3

Step-by-step explanation:

If two secant segments intersect outside a circle, then the product of one secant segment with its external portion equals the product of the other secant segment with its external portion.

[tex](x + 9)(9) = (12 + 6)(6)[/tex]

[tex]9x + 81 = 108[/tex]

[tex]9x = 27[/tex]

[tex]x = 3[/tex]


Use Substitution to solve each system of equations.

Answers

Answer:

x = -3

y = -2

(-3, -2)

Step-by-step explanation:

x - 7y = 11

5x + 4y = -23

-----------------------

-5 (x - 7y = 11)

-5x + 35y = -55

--------------------------

-5x + 35y = -55

5x + 4y = -23

       39y = -78

     ÷39     ÷39

        y = -2

-----------------------------

x - 7y = 11

x -7(-2) = 11

x + 14 = 11

   -14    -14

x = -3

I hope this helps!

What’s the difference please help

Answers

Answer:

C: [tex]-7ab \sqrt[3]{3ab^{2} }[/tex]

Step-by-step explanation:

Simplify or expand:

[tex]2ab\sqrt[3]{192ab^{2} } - 5\sqrt[3]{81a^{4} b^{5} }[/tex]

Transform the expression:

[tex]2ab\sqrt[3]{4^{3}*3ab^{2} }[/tex] - [tex]5\sqrt[3]{3^{3}*3a*ab^{3} b^{2} }[/tex]

Re-write

Multiply

Combine like terms.

The profit of a company , in dollars, is the difference between the company's revenue and cost. The cost C(x) and revenue, R(x) are functions for a particular company The x represents the number of items produced and sold to distributors

Answers

The maximum profit that the considered company can get is 142,400 bucks. That profit is earned when input x  (the number of items produced) is 380

How to obtain the maximum value of a function?

To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.

The missing part of question is:

" [tex]C(x)=2000+70x[/tex], [tex]R(x)=830x-x^2[/tex]

A. Determine the maximum profit of the company.

B. Determine the number of items that must be produced and sold to obtain the maximum profit"

The profit is the difference between the revenue and the cost, so we get:

[tex]P(x) = R(x) - C(x) = 760x - x^2 - 2000[/tex]

Finding its first and second rate with respect to x:

[tex]P'(x) = 760 -2x\\P''(x) = -2[/tex]

Equating first rate to 0 to get the critical values:

[tex]P'(x) = 0 \implies 760 = 2x \implies x = 380[/tex]

The second rate is < 0 for any x, x = 380 is minima, and x = 380 being only critical value, it is global maximum.

At x = 380, the profit evaluates to:

[tex]P(x) = 760x - x^2 - 2000\\P(380) = 760(380) - (380)^2 - 2000 = (380)^2 - 2000\\P(380) = 142400[/tex]

Thus, the maximum profit that the considered company can get is 142,400 bucks. That profit is earned when input x  (the number of items produced) is 380

Learn more about maxima and minima of a function here:

https://brainly.com/question/13333267

Pls Figure Out the question.

Answers

answer

cross multiply each of their estimate with 16 hours

could i get some help in next few minutes?
sketch is another part of question but not necessary

Answers

Answer:

a) - 8 and 2b) (- 3, - 75)

Step-by-step explanation:

Given relation

y = 3x² + 18x - 48

a)

Find its zero's

3x² + 18x - 48 = 0x² + 6x - 16 = 0x² + 8x - 2x - 16 = 0x(x + 8) - 2(x + 8) = 0(x + 8)(x - 2) = 0x + 8 = 0 ⇒ x = - 8x - 2 = 0 ⇒ x = 2

b)

The vertex of qudratic function is determined at x = - b/(2a)

Applied to this relation, the x- coordinate of vertex is

x = - 18/(3*2) = - 18/6 = - 3

Find its y- coordinate

y = 3(-3)² + 18(-3) - 48 = 27 - 54 - 48 = -75

The vertex is (- 3, - 75)

y=3x²+18x-48y=x²+6x-16y=(x+8)(x-2)

Zeros:-

x=-8 and 2

#Vertex

y=x²+6x-16y=x²+2(3x)-16+25-25y=x²+2(3x)+9-25y=(x+3)²-25

Multiply 3 which we deduced

y=3(x+3)²-75

Vertex (-3,-75)

A ring-toss toy is composed of a rectangular prism on top of a cylinder. The rectangular prism is completely fill with water. The dimensions of the rectangular prism are shown in the diagram. ring toss toy
What is the volume of the rectangular prism in cubic centimeters?
Question 10 options:
A. 29 cm3
B. 480 cm3
C. 208 cm3
D. 90 cm3

Answers

Answer:

480  i think

Step-by-step explanation:

if not i sorry

The Morgan family got their energy bill from Southwest Power Company which showed the following uses of energy, gas usage = 43 therms, electricity usage = 847 kw,
taxes and other charges = $1235. Given the information below, what was the total energy bill for the Morgan family Southwest Power Company has the following rates for
gas and electricity usage: Gas Baseline usage: 30 therms At or below baseline usage: S1 22 pertherm Above baseline usage: 51 52 pertherm Bedriaty Baseline usage
250 Kuh At or below baseline usage: 50 35 per Kah Above baseline usage: 50 51 per Kw
5451 94
$460 81
$469 05
5463 27
None of these choices are correct
ОООО

Answers

Answer:

Извини, чувак, но я написал это на русском, чтобы тратить твое время.

Step-by-step explanation:

     

Извини, чувак, но я написал это на русском, чтобы тратить твое время.

RATIONAL NUMBERS
-2 4/5 - 6 2/15

Answers

Answer:

[tex]- \frac{134}{15}[/tex]

Step-by-step explanation:

[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{2\times 5}{5} +\frac{4}{5} \right) -\left( \frac{6\times 15}{15}+\frac{2}{15} \right)[/tex]

[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{10}{5} +\frac{4}{5} \right) -\left( \frac{90}{15}+\frac{2}{15} \right)[/tex]

[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{14}{5}\right) -\left( \frac{92}{15}\right)[/tex]

[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{42}{15}\right) -\left( \frac{92}{15}\right)[/tex]

[tex]-2\frac{4}{5} -6\frac{2}{15} =-\left( \frac{42+92}{15}\right)[/tex]

[tex]-2\frac{4}{5} -6\frac{2}{15} =- \frac{134}{15}[/tex]

[tex]-2\frac{4}{5} -6\frac{2}{15} =-8\frac{14}{15}[/tex]                  

At 8 a.m. Anne left Austin and headed south at 20 mph. At 10 a.m. Gene left from the same place and headed south on the same road. If Anne was 10 miles ahead by 4 p.m. on the same day, what was Gene's speed in mph

Answers

Using proportions, it is found that Gene's speed was of 25 miles per hour, as he was 30 miles faster over a period of 6 hours.

What is a proportion?

A proportion is a fraction of a total amount.

At 8 a.m. Anne left Austin and headed south at 20 mph, hence when Gene left at 10 a.m., she was 40 mph ahead.

At 4 p.m., that is, 6 hours after Gene left, the distance was of 10 miles, that is, Gene was 30 miles faster in 6 hours, so the difference in the speeds is given by:

d = 30/6 = 5 mph.

Since Anne's speed is of 20 mph, Gene's is given by:

v = 20 + 5 = 25 mph.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Which choice (letter)

Kara, who lives in Canada, plays a popular online video game where every round has a winner. Her best streak is 212121 wins in a row, and she wonders how that compares to other players. The game's website has a worldwide leaderboard of players with the longest win streaks for each month. Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 wins in a row.
For which population is 636363 wins a legitimate estimate of the average longest streak?
Choose 1 answer:
Choose 1 answer:

(Choice A)
A
Only the top 200200200 longest streaks worldwide in June

(Choice B)
B
Only the top 200200200 longest streaks in Canada in June

(Choice C)
C
Only the top 200200200 longest streaks worldwide from all time

(Choice D)
D
Only the top 200200200 longest streaks in Canada from all time

(Choice E)
E
The longest streaks for all players worldwide in June
Report a problem
3 of 7

Answers

Answer:

Choice A

Step-by-step explanation:

End of the question states it, and I did it on Khan :)

Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 so option (A) will be correct.

What is mean?

The mean is the average of a data set. Mean gives us the idea of that how much amount of overall data have.

In other words, the mean is the foundation of the deviation of data from all data sets.

Mean = sum of data / Number of data

For example, if you have marks in 5 subjects like 40,45,44,46,48 then the mean will be

( 40 + 45+ 44 + 46 + 48) /5 = 44.6.

Given that,

Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363 wins in a row

It means the top 200200200 longest streaks worldwide in June have an average longest streak of 636363.

Hence " Kara finds that the top 200200200 longest streaks in the world in June had an average of about 636363".

For more about the mean,

https://brainly.com/question/17060266

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What is the value of xin the figure below?
А
х
B5D
с
9
O A. V126
B. 45
O C. 70
D. 14
O E.
9
14
O F. 145

Answers

Answer: F

Step-by-step explanation:

What is another way to make 1.83?
Choose 1 answer:
А
1 one +18 tenths + 3 hundredths
B
O ones + 8 tenths +13 hundredths
O ones + 18 tenths + 3 hundredths

Answers

Answer:

0 ones + 18 tenths + 3 hundredths

Step-by-step explanation:

This would be 0 + 1.8 + 0.03, which equals 1.83

Answer:

yes it's O ones + 18 tenths + 3 hundredths

Step-by-step explanation:

I took the test

Three shelves contain a total of 88 DVD's. The first and second shelves contain a total of 54 DVD's.The second and third shelves contain a total of 57 DVD's.The first and third shelves contain a total of ____ DVD's.

Answers

Answer:

Either 27 or 55

If right please make brainleist for others to learn from this answer thanks!

Step-by-step explanation:

Answer:

x=31, y=23, z=34

Step-by-step explanation:

The first shelf is x. The second shelf is y. The third shelf is z.

x+y=54.

y+z=57

x+y+z=88

You can substitute 54 in for x+y in the third equation to solve for z.

54+z=88

Subtract 54

z=34

Now that you know z, substitute it in in the second equation.

y+34=57

y=23

Finally, substitute the known y value into the first equation.

x+23=54

x=31


One positive integer is 7 less than twice another. The sum of their squares is 433. Find the integers.

Answers

Answer:

This is the correct answer

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

If the graph of f '(x) has an X-intercept at x = C, which of the following must be true?

A. The graph off has a relative minimum or relative maximum at x = C.
B. The graph off has an inflection point at x = C.
C. The graph off has an x-intercept at x = C.
D. None of the above is necessarily true.

Answers

None of the above is true

Answer: D

Step-by-step explanation:

f'(C) = 0 ⇒ There is a critical point here

There could be a relative max or min here, but since we do not know if f''(x) is positive or negative, we cannot be sure if the function is truly changing from positive to negative or vice versa. "C" could simply be at a horizontal tangent of a function like x³.

(brainliest is gonna begiven answer correctly please) Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.

A cube-shaped bin has an edge length of 12 yard.

What is the volume of the container?



Enter your answer, as a fraction in simplest form, in the box.

Answers

Answer:

[tex]\sf V=\dfrac18\: \sf yd^3[/tex]

Step-by-step explanation:

Volume of a cube formula

[tex]\sf V=s^3[/tex]

where:

V = volumes = edge length

Given:

s = 1/2 yard

[tex]\sf \implies V=\left(\dfrac12\right)^3[/tex]

Apply exponent rule [tex](\frac{a}{b})^c=\dfrac{a^c}{b^c}[/tex]

[tex]\sf \implies V=\dfrac{1^3}{2^3}[/tex]

[tex]\sf \implies V=\dfrac18\: \sf yd^3[/tex]

Side=1/2yd

Volume:-

side³(1/2)³1/2³1/8yd³

Target 3: I can create or complete a table using equivalent ratios.
4. A wallpaper pattern has 6 stars for every 4 moons. How many stars would there be if there were 16
moons?
Stars
Moons

Answers

Answer:

24

Step-by-step explanation:

Remark

This can be done with a proportion which consists of 2 equal ratios. That's 4 parts total. If you know 3 of the parts, you can find the 4th.

Givens

Stars1  6

Moon1 4

Starts2 x

Moon2 16

Formula

stars1/moon1 = stars2/moon2

Solution

6/4 = x / 16         Multiply by 16

6 * 16/4 = x

Answer: 96/4 = 24

the temperature was 8 degrees at noon. by 11 p.m., it had dropped 12 degrees. How was the temperature at 11 p.m. ​

Answers

It would be -4 degrees because 8-12 is that

Integrated math 1 homework

Answers

Answer:

I, III

Step-by-step explanation:

if there are 27 books and only 3 people at least one person must have read more than 7 books as if 3 people each read 7 books that would be 21 books which is less than 27

Other Questions
Jim had a very good quarter at his car lot with net sales reaching just over $456,000. this created a net income of $195,000. if jim's operating expenses last quarter were $23,000, what was his gross profit margin? a. 5.0% b. 37.7% c. 42.8% d. 47.8% please select the best answer from the choices provided a b c d Which of the following determined that the conduct need not seriously affect an employee's psychological well-being or lead the employee to suffer injury to be considered harassment?Bill of Fair TreatmentU.S. Supreme CourtAnti-Harassment Policy of 1999U.S. Congress A phone company determined that an increase in income does not indicate a change in a customer's phone usage. What does the analysis show?There is no correlation between income and phone usage.There is a correlation between income and phone usage. There may or may not be causation. Further studies would have to be done to determine this.There is a correlation between income and phone usage. There is probably also causation. This is because there is likely an increase in phone usage with an increase in income. The Missouri compromise attempted to resolve regional disputes over slavery by: PLEASE ANSWER ASAP!! WILL MAKE BRAINLIEST!! What is the main type of weathering in deserts?a. physical weatheringb. weathering by organic acidsc. chemical weathering ? Is -14 greater than 9 Here are the numbers of times 9 people ate out last month. 3,3,4 ,4 ,3 ,7,6 ,7,7 Find the modes of this data set. If there is more than one mode, write them separated by commas. If there is no mode, click on "No mode." Solve the equation 25z2 140 = 29 by using square roots.A. z = 13/5B. z = 7/5C. z = 29/7D. no real solutions Find the area of the region bounded by the functions f(x) = x4 and g(x) = 2 x2a. 44/15b. 22/15c. 88/15d. none of theseBeen stuck on this one for a while... Please help I will give you Brainly Which expression Is equlvalent tc the given12-9v46r3y22x3v2-642-3,221642 What was the opening price of Dow Jones Industrial Average on May 12, 2018 in the format of XXXXX.XX? The first three terms of a geometric sequence are as follows. 2 - SituacionesMultiple choice Activity Hide details InstructionsYou will hear four brief conversations. Choose the statement that expresses how the people feel in each situation. April 08 11:59 PM 1 attempt remaining Grade settings External references 124-125 Questions 0:00 / 1:26 1. Ricardo est nervioso. Ricardo est cansado. 2. La seora Fuentes est contenta. La seora Fuentes est preocupada. 3. Eugenio est aburrido. Eugenio est avergonzado. 4. Rosario y Alonso estn equivocados. Rosario y Alonso estn enojados -5x2-7x2the twos are the squared. I will give brainliest who ever answer this question Have you ever uploaded a photo you took to a social media site? If so, there is a good chance that because you agreed to the social media companys terms of service, the company can use your photo for promotional reasons. Do you think it is okay that social media companies make users agree to let them use users photos? Why or why not?Compare what you think about social media companies using users photos to people claiming photos they found online as their own. Is one practice worse than the other? Why or why not?Write one to two sentences explaining what you think about social media companies requiring users to agree to the company using their images for promotional purposes. Provide at least one reason that supports your idea.Write two to three sentences comparing people claiming photos they found online as their own to social media companies using user images. Provide at least one reason that supports your idea. Which statement best defines data?A. Data is information processed or stored by a computer.OB. Data is the coded instructions that tell computers how to receive,manipulate, and display information.O C. Data is the calculations computers make to process and storeinformationD. Data is the hardware and software that store and processinformation over a network. how do i round 0.942 to the nearest tenth!! Ashlynn runs 3 miles each morning. How far does Ashlynn run in feet?