Which function is the inverse of function f? f(x)=9x^-12

Answer:

sinY = [tex]\frac{6}{\sqrt{61} }[/tex]

Step-by-step explanation:

sinY = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{ZX}{YX}[/tex] = [tex]\frac{6}{\sqrt{61} }[/tex]

Answer:

Basically it means to do Keep, Change, Flip. that's a better way to remember "reciprocal". keep the 5, change the ÷ to a × and flip the fraction 2/9 to a 9/2.

After doing that, you'll get the the first answer. 5/1 × 9/2 = 45/2

Answer: First option.

Step-by-step explanation:

When you divide fractions you can multiply the first fraction by the reciprocal of the second fraction.

To find the reciprocal of the fraction, you need to flip it. Then the original denominator will be the new numerator and the original numerator will be the new denominator.

Then, the reciprocal of the fraction [tex]\frac{2}{9}[/tex] is:

 [tex]\frac{9}{2}[/tex]

Therefore, you can find the quotient of [tex]3[/tex]÷[tex]\frac{2}{9}[/tex]  by multiplying [tex]\frac{5}{1}[/tex] by [tex]\frac{9}{2}[/tex]:

[tex]5[/tex]÷[tex]\frac{2}{9}=\frac{5}{1}*\frac{9}{2}=\frac{45}{2}[/tex]

Answer:

186 minutes.

Step-by-step explanation:

33.63 to start.

take away the service fee of 18.75

14.88

divide 14.88 by 0.08

186

Answer:

Step-by-step explanation:

$33.63-$18.75= $14.88

$14.88/.08=186

You used 186 minutes last month,

Answer:

[tex]15a^2b^2-20a^2b+6ab^2-4ab+7[/tex]

Step-by-step explanation:

The sum of two polynomials is

[tex]10a^2b^2-8a^2b+6ab^2-4ab+2[/tex]

First addend is

[tex]-5a^2b^2+12a^2b-5[/tex]

Second addend x.

Hence,

[tex]x+(-5a^2b^2+12a^2b-5)=10a^2b^2-8a^2b+6ab^2-4ab+2\\ \\x=10a^2b^2-8a^2b+6ab^2-4ab+2-(-5a^2b^2+12a^2b-5)=\\ \\=10a^2b^2-8a^2b+6ab^2-4ab+2+5a^2b^2-12a^2b+5=\\ \\=(10a^2b^2+5a^2b^2)+(-8a^2b-12a^2b)+6ab^2-4ab+(2+5)=\\ \\=15a^2b^2-20a^2b+6ab^2-4ab+7[/tex]

Answer:  The correct option is (A) [tex]15a^2b^2-20a^2b+6ab^2-4ab+7.[/tex]

Step-by-step explanation:  Given that the sum of two polynomials is [tex](10a^2b^2-8a^2b+6ab^2-4ab+2)[/tex] and one addend is [tex](-5a^2b^2+12a^2b-5).[/tex]

We are to find the other addend.

Let P(x) be the other addend.

Then, according to the given information, we must have

[tex]-5a^2b^2+12a^2b-5+P(x)=10a^2b^2-8a^2b+6ab^2-4ab+2\\\\\Rightarrow P(x)=(10a^2b^2-8a^2b+6ab^2-4ab+2)-(-5a^2b^2+12a^2b-5)\\\\\Rightarrow P(x)=10a^2b^2-8a^2b+6ab^2-4ab+2+5a^2b^2-12a^2b+5\\\\\Rightarrow P(x)=15a^2b^2-20a^2b+6ab^2-4ab+7.[/tex]

Thus, the other addend is [tex]15a^2b^2-20a^2b+6ab^2-4ab+7.[/tex]

Option (A) is CORRECT.

Answer:

(-1)(-1)(-1)

(-1)(-1)(-1)(-1)(-1)

These, since they are all negatives and there are an odd number of terms.

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

Answer:

try 12 Newton seconds

Step-by-step explanation:

I think it's going to be 12 because if you find the slope of the first line you get 1 Newton and the slope of the second line is -1 Newton's. so that means there is a change of -2 newtons. so if you multiply -2 Newton's by the 6 seconds you -12 Newton seconds. let me know if this is correct as it's been a while since I've done this type of stuff.

Answer:

The value of impulse is 9 N-s.

Step-by-step explanation:

The momentum vs time graph shows the impulse

Impulse :

Impulse is the product of force and time.

In mathematical terms,

[tex]I= F\Delta t[/tex]

Where, F = force

t = time

According to graph,

Impulse[tex]I = F\cdot t[/tex]=total area

[tex]I=\dfrac{1}{2}\times3\times6[/tex]

[tex]I=9\ N-s[/tex]

Hence, The value of impulse is 9 N-s.

Answer:

D. 140

Step-by-step explanation:

volume equals length times width times height 7 times 4 times 5 equals 140 good luck

Answer:

[tex]\sqrt{\frac{3}{64} }[/tex] in simplified form is [tex]\frac{\sqrt{3}}{8}[/tex]

Step-by-step explanation:

We need to solve the expression

[tex]\sqrt{\frac{3}{64} }[/tex]

We know that [tex]\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}[/tex]

and 64 = 8*8

Solving we get

[tex]=\frac{\sqrt{3}}{\sqrt{64}}\\=\frac{\sqrt{3}}{\sqrt{8*8}}\\=\frac{\sqrt{3}}{\sqrt{8^2}}\\=\frac{\sqrt{3}}{8}[/tex]

So [tex]\sqrt{\frac{3}{64} }[/tex] in simplified form is [tex]\frac{\sqrt{3}}{8}[/tex]

To simplify the given radical expression √3/64, first express the fraction as a power of a fraction. Apply the power rule of radicals and simplify the expression.

To simplify the given radical expression √3/64, we first express the fraction under the radical sign as a power of a fraction. 3/64 can be written as 3/(26). Next, we can apply the power rule of radicals, which states that √(a/b) = √a/√b. Applying this rule, we can rewrite the radical expression as √3/(26). Finally, we can simplify the expression by evaluating the square root of 3 and 26. The simplified expression is √3/23 or 3/(23).

https://brainly.com/question/11624221

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For this case we have by definition that a monomial is the product of a known number (called coefficient) by one or several unknown values, represented by letters (literal part or variables).

If there were a sum or subtraction, it would be a binomial.

Examples of monomial:

[tex]5x ^ 7 * y ^ 2[/tex]

Then, according to the above, the correct option is option C.

Answer:

Option C

Answer:

30 minutes.

Step-by-step explanation:

The more pipes you have the less time it takes to water the field.

This is inverse proportion.

t  varies as 1 / p

t = k/p

Inserting the given values:

60 = k/3

so k = 180.

and the equation of variation is

t = 180 / p.

When the number of pipes = 6 the time

= t = 180 /6

= 30 minutes.

Answer:

[tex] - \frac{8}{15} \times \frac{20}{64} = - \frac{8}{15} \times \frac{5}{16} = - \frac{1}{6} [/tex]

Step-by-step explanation:

From the Pythagorean theorem we have:

[tex]a^2+b^2=c^2[/tex]           subtract b² from both sides

[tex]a^2=c^2-b^2\to a=\sqrt{c^2-b^2}[/tex]

Same:

[tex]b=\sqrt{c^2-a^2}[/tex]

Answer:

In engineering, construction, and technical fields

Step-by-step explanation:

The use of parallel lines has many wide applications

For example, the parallel lines are important in science in preventing parallax errors in measuring, say the meniscus of the water in a glass.

Another use is in construction. The use of the plumb line shows if the object being built is straight or not. The principle is that the force of the pull acts downwards. Another example is the spirit lever. This can be used by builders to check if the surface is even or not.

In engineering, the properties are important in building bridges and other high-tension structures.

Answer:

deductive

Step-by-step explanation:

Hello There!

131 rounded to the nearest 10 or

the tens place is 30

It is 130.

Rounding down because it is lower than 5.

Hope this helps! The

Answer:

-308

Step-by-step explanation:

[tex](3+5^2)(5-4^2)[/tex]

[tex]28(5-4^2)[/tex]

[tex]28(-11)\\[/tex]

[tex]-308[/tex]

Hope that helped!

Answer:

Option B is correct.

Step-by-step explanation:

[tex]2(\frac{3}{5}x+ 2\frac{3}{4}y-\frac{1}{4}x-1\frac{1}{2}y+3)[/tex]

We need to solve the above expression.

First Convert Mix fraction into improper fraction

[tex]2(\frac{3}{5}x+ 2\frac{3}{4}y-\frac{1}{4}x-1\frac{1}{2}y+3)\\=2(\frac{3}{5}x+ \frac{11}{4}y-\frac{1}{4}x-\frac{3}{2}y+3)[/tex]

Combining the like terms

[tex]=2(\frac{3}{5}x-\frac{1}{4}x+ \frac{11}{4}y-\frac{3}{2}y+3)[/tex]

Solving like terms

[tex]=2(\frac{3x*4-5x}{20}+ \frac{11y-3y*2}{4}+3)\\=2(\frac{12x-5x}{20}+ \frac{11y-6y}{4}+3)\\=2(\frac{7x}{20}+ \frac{5y}{4}+3)[/tex]

Multiply each term with 2

[tex]=2*\frac{7x}{20}+ 2*\frac{5y}{4}+2*3\\=\frac{7x}{10}+ \frac{5y}{2}+6[/tex]

[tex]=\frac{7x}{10}+ 2\frac{1}{2}y+6[/tex]

So, Option B is correct.

Answer:

"B"

Step-by-step explanation:

Gavin's analysis of a game's zombie population growth involves understanding the concept of exponential growth, characterized by a fixed percentage increase over time, and the eventual transition to logistic growth as resources become limited.

The scenario presented involves an analysis of exponential growth, which is a typical mathematical concept found within algebra and applied mathematics.

Gavin's analysis of the game app, which features a starting zombie population of 50,000 that grows at a rate of 5% per level, allows us to examine how the population changes as players advance through the levels.

Exponential growth is characterized by a constant rate of growth applied to a continuously growing base over time.

In the case of the example town mentioned, we learn that exponential growth can lead to doubling populations and that the rule of 70 is a shortcut to estimate the number of years required for a population to double at a constant growth rate.

Specifically, if the town's population doubles every 10 years, this implies a growth rate of approximately 7% per year since 70 divided by the growth rate (7) equals the doubling time (10 years).

However, such unchecked exponential growth will eventually transition to logistic growth, especially when resources become limited, thus limiting the population size to a maximum capacity, known as carrying capacity.

In biology, this logistic growth curve begins with an exponential phase, followed by a slowdown, and eventually levels off at the carrying capacity.

Final answer:

The subject of this question is Mathematics and the grade is High School. Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. Each time a player advances to a new level, the population of zombies grows at a rate of 5%.

Explanation:

The subject of this question is Mathematics and the grade is High School.

In this question, Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. When a player is on level one of the game, the population of zombies is 50,000. Each time the player advances to a new level, that population grows at a rate of 5%.

To calculate the population of zombies at each level, we can use the formula:

By using this exponential growth formula, Gavin can analyze the growth of the zombie population as players advance through the levels of the game.

Answer:

C

Step-by-step explanation:

They are written in (x,y) coordinates. so (0,2 1/2) is the dot on the y axis located at 2 1/2 and is directly on the line as x is 0 and y is 2 1/2.

(-1/2,0) coordinate will be on the left of the origin (the centre of the graph a.k.a 0,0) as the x is negative. the y is 0 so it will be on the x axis.

Just remember, if x is negative then the dot moves to the left, if it is positive then to the right. If y is positive then it will move upwards. If it is negative then it will move downwards. Therefore, the x coordinate controls right and left, the y coordinate controls up and down. If it is 0 then it will not move and just stay on that axis.

Answer:

-2x^2-8x+12 if you meant the second function to be g(x)=5x^2+6x-8

If you didn't mean that please let me know in the comments so I can change my answer

Step-by-step explanation:

f-g=

 3x^2-2x+4

-(5x^2+6x-8)

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

-2x^2-8x+12

Answer:

31 over 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Without parentheses, you have 11 - 2 (which is 9) plus 8 (totalling 17).

Then you have 17/6.

That's "divided."

Let [tex]x[/tex] be the length of a cat's stride, and [tex]y[/tex] their stride per time unit ratio.

So, in a time unit, the cat will cover a distance of [tex]xy[/tex]

Dogs strides are 30% longer, do a dog's stride is

[tex]\dfrac{130}{100}x = \dfrac{13x}{10}[/tex]

But its stride per time unit is 30% less:

[tex]\dfrac{70}{100}y = \dfrac{7y}{10}[/tex]

So, in a unit of time, the dog will cover a distance of

[tex]\dfrac{13x}{10}\dfrac{7y}{10} = \dfrac{91}{100}xy[/tex]

So, in the same amount of time, the dog covers 91% of the distance of the cat.

Answer:

Step-by-step explanation:

The point-slope form of an equationo f a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have

[tex]y+2=-2(x-5)\\\\y-(-2)=-2(x-5)[/tex]

Therefore we have

the slope: m = -2

the point: (5, -2) not (-5, 2)!!!

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

Convert:

[tex]y+2=-2(x-5)[/tex]           use the distributive property a(b + c) = ab + ac

[tex]y+2=-2x+10[/tex]         subtract 2 from both sides

[tex]y=-2x+8[/tex]

Answer:

The correct option is B.

Step-by-step explanation:

The given functions are

[tex]f(x)=x^2[/tex]

[tex]g(x)=\frac{3}{4}x^2[/tex]

It can be written as

[tex]g(x)=\frac{3}{4}f(x)[/tex]                  .... (1)

The vertical stretch and compression is defined as

[tex]g(x)=kf(x)[/tex]                  .... (2)

If k>1, then it represents vertical stretch by factor a.

If 0<k<1, then it represents vertical compression by factor a.

From (1) and (2), we get

[tex]k=\frac{3}{4}[/tex]

Since k<1, therefore he graph of g(x) is the graph of f(x) compressed vertically by a factor of 3/4.

Hence the correct option is B.

n - ( -8 ) = 15

n + 8 = 15

n = 15 - 8

n = 7

The answer is:

n = 7

[tex]\sqrt{n+5}-\sqrt{11-10}=1\\\sqrt{n+5}-1=1\\\sqrt{n+5}=2\\n+5=4\\n=-1[/tex]

Answer:

Excess cash on hand may be a problem for a problem for a company because it may miss an opportunity to:  B) Invest

The description is very simple: Incorrectly solved.

More specifically at step 2 the subtraction of 3.8 should have been on both sides.

[tex]

x+3.8=2.3 \\

x+3.8-3.8=2.3-3.8 \\

\boxed{x=-1.5}

[/tex]

Hope this helps.

r3t40

Answer:

He or she did not properly use the subtraction property of equality. On the right side in the second step of the equation, he or she added 3.8. The correct method to solve for x is by subtracting 3.8 on both sides. Therefore, the answer should be x = -1.5 because 2.3 - 3.8 = -1.5.

Answer:

{[tex]x| -\sqrt{5} <x <\sqrt{5}[/tex]}

Step-by-step explanation:

We must solve the following inequality

[tex]x^2- 5<0[/tex]

factor the expression

[tex](x-\sqrt{5})(x+\sqrt{5})<0[/tex]

Case 1

[tex](x-\sqrt{5}) < 0[/tex] →  [tex]x < \sqrt{5}[/tex]

[tex](x+\sqrt{5}) >0[/tex]  → [tex]x > -\sqrt{5}[/tex]

{[tex]x| -\sqrt{5} <x <\sqrt{5}[/tex]}

Case 2

[tex](x-\sqrt{5}) > 0[/tex] →  [tex]x > \sqrt{5}[/tex]

[tex](x+\sqrt{5}) <0[/tex]  → [tex]x < -\sqrt{5}[/tex]

Without solution

The set  solution is {[tex]x| -\sqrt{5} <x <\sqrt{5}[/tex]}

Final answer:

The solution set of the quadratic inequality x^2 - 5 < 0 is {x | -√5 < x < √5}, representing all x-values between -√5 and √5.

Explanation:

The quadratic inequality in question is x² - 5 < 0. To find the solution set, follow these steps:

Graphically, this represents the x-values for which the curve of y = x² is below the line y = 5.

Answer:

It is -24/11

Step-by-step explanation:

This is a system of equations. Using substitution should give the answer.

Taking the first equation, q = 3p - 6. Plug this into the second equation.

2p + 3(3p - 6) = 4. Distributing gives 2p+ 9p - 18 = 4. Subtract 4 from both sides to give: 11p - 14 = 0. p = 14/11

Plug this back into the first equation.

42/11 - q = 6

q = 42/11 - 6, which equals -24/11

Hope this helps!

Answer:

Correct Answer: Option A

Explanation

3p - q = 6 ........ 1

2p + 3q = 4 ....... 2

Multiply eqn 1 by 3

9p - 3q = 18 ........ 3

2p - 3q = 4 ......... 2

Add eqn3 and eqn2

11p = 22 => p = 22/11 = 2

Substitute for p =2 in eqn1

3p - q = 6

3x2 - q = 6 => 6 - q = 6 => -q = 6 - 6  

q = 0

Step-by-step explanation: