Write your answer as a polynomial or a rational function in simplest form

Write Your Answer As A Polynomial Or A Rational Function In Simplest Form

Answers

Answer 1

Answer:

-x²

Step-by-step explanation:

[tex](f+g)(x)\\\\5x-x^2-5x\\\\-x^2[/tex]


Related Questions

Instructions: Find the value of the trigonometric ratio. Make sure to
simplify the fraction if needed.
Х
40
32
N
24
Y
Tan Z

Answers

Answer:

tan Z = 4/3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta= opp / adj

tan Z = 32/24

Divide top and bottom by 8

tan Z = 4/3

A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Brine containing 1 gram of salt per liter is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at the same rate. Find the number A(t) of grams of salt in the tank at time t.

Answers

Answer:

the number A(t) of grams of salt in the tank at a time is A(t)=150-110e-t/50

Sam ordered 2 tons of crushed stone. How many pounds of crushed stone does she have?

Answers

Answer:

4000

Step-by-step explanation:

1 ton = 2000 pounds

2 tons = ? pounds

Multiply:

2000 × 2 = 4000

There will be 4000 pounds of crushed stone.

Hope this helped.

G I V E N :

Sam ordered 2 tons of crushed stone. How many pounds of crushed stone does she have?

S O L U T I O N :

Here, we need to convert the tons into pounds to get the desired result

According to the question :

We know that,

1 ton = 2000 pounds

2 tons = 2(1000 pounds) = 2000 pounds

Hence, she have 2000 pounds of crushed stone

Two points, A and B, are on opposite sides of a building. A surveyor chooses a third point, C, 80 yd from B and 104 yd from A, with angle ACB
measuring 51.2º. How far apart are A and B (to the nearest yard)?


HURRYYY GIVING 20 POINTS!!

Answers

Answer:

Step-by-step explanation:

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. The distance between A and B is 85.6 yds.

What is the Law of Cosine?

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

[tex]c =\sqrt{a^2 + b^2 -2ab\cdot Cos\theta}[/tex]

where

c is the third side of the triangle

a and b are the other two sides of the triangle,

and θ is the angle opposite to the third side, therefore, opposite to side c.

The three points A, B, and C will form a triangle. Therefore, using the law of cosine the measure of the third side AB can be written as,

[tex]AB =\sqrt{(AC)^2 + (BC)^2 -2(AC)(BC)\cdot \cos(51.2^o)}\\\\AB =\sqrt{(80)^2 + (104)^2 -2(80)(104)\cdot \cos(51.2^o)}\\\\AB = \sqrt{6400+10816-16640\cos51.2^o}\\\\AB = \sqrt{7328.4}\\\\AB=85.6\rm\ yd[/tex]

Hence, the distance between A and B is 85.6 yds.

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find the x- and y-intercept of the graph of -9x+7y=27 . State tour based as a whole number of as a improper fraction in simplest form

Answers

answer:

is this cool? or explanation?

Can you please answer this answer with a step by step explanation?

the BEST answer gets the BRAINLIEST answer mark!​

Answers

Answer:

Step-by-step explanation:

If K is square number, then exponents in number N are even.

Can someone please help me?

Answers

Answer:

The equation of the perpendicular line (PR) to line PQ is; y = -0.5x - 1.5

Step-by-step explanation:

The line is perpendicular to line adjoined by points P(-3,0) and Q(0,6)

The slope of line PQ is;

Slope = change in y ÷ change in x = [tex]\frac{6 - 0}{0 -- 3}[/tex] = 2

The product of slopes of two perpendicular lines = -1

Hence the slope of line PR = -1 ÷ slope of line PQ = -1/2

Taking another point (x,y) and point P(-3,0) the equation of line PR is;

Slope = [tex]\frac{y - 0}{x - -3} = -\frac{1}{2}[/tex]

Cross-multiplying gives;

2y = -x - 3 , y = -x/2 - 3/2 , y = -0.5x - 1.5

I'll give brainliest :)
Are the lines y = –x – 4 and 5x + 5y = 20 perpendicular? Explain.

Yes; the product of their slopes is −1.


Yes; their slopes are equal.


No; their slopes are equal.


No; their slopes are not equal

Answers

Answer:

C

Step-by-step explanation:

In the equation y = -x - 4, the gradient is -1.

While in the second equation,

5x + 5y = 20

y = -x + 4

So the gradient is -1 too

Both sides are not perpendicular to each other because if you apply the formula, m1m2 = -1, and if substitute both gradient, (-1)(-1) = 1 ≠ -1

Therefore, no they are not perpendicular but parallel instead.

Answer: C

Step-by-step explanation:

Look above fool

Is a decimal less than a whole number?

Answers

Answer:

Depends of what kind of decimal

Step-by-step explanation:

because if I’m saying 2.5 is less than 2 it wouldn’t make sense

9. What is the area of the given triangle? Round to the nearest tenth. (1 point) A 7 cm 38° B 13 cm C Area = cm2​

Answers

Answer:

Area = 13.5 cm^2

Step-by-step explanation:

When we know 2 sides and the included angle

the area is  =(½)ab sin C

where a and b are the side lengths and C is the angle between them

Area = 1/2 ( 13*7) sin 38

Area = 13.48477

Rounding to the nearest tenth

Area = 13.5 cm^2

In a large midwestern university (the class of entering freshmen being on the order of 6000 or more students), an SRS of 100 entering freshmen in 1999 found that 20 finished in the bottom third of their high school class. Admission standards at the university were tightened in 1995. In 2001 an SRS of 100 entering freshmen found that 10 finished in the bottom third of their high school class. The proportion of all entering freshmen in 1999 and 2001, who graduated in the bottom third of their high school class, are p1 and p2, respectively.Is there evidence that the proportion of freshmen who graduated in the bottom third of their high school class in 2001 has been reduced, as a result of the tougher admission standards adopted in 2000, compared to the proportion in 1999? To determine this, you test the hypothesesH0 : p1 = p2 , Ha : p1 > p2.The P-value of your test isA. 0.976.B. 0.024.C. 0.048.D. 0.001.

Answers

Answer:

B. 0.024

The p-value of the test is 0.024 < 0.05(standard significance level), which means that there is enough evidence that the proportion of freshmen who graduated in the bottom third of their high school class in 2001 has been reduced.

Step-by-step explanation:

Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

1999:

Of 100, 20 were in the bottom thid. So

[tex]p_B = \frac{20}{100} = 0.2[/tex]

[tex]s_B = \sqrt{\frac{0.2*0.8}{100}} = 0.04[/tex]

2001:

Of 100, 10 were in the bottom third, so:

[tex]p_A = \frac{10}{100} = 0.1[/tex]

[tex]s_A = \sqrt{\frac{0.1*0.9}{100}} = 0.03[/tex]

To determine this, you test the hypotheses H0 : p1 = p2 , Ha : p1 > p2.

Can also be rewritten as:

[tex]H_0: p_B - p_A = 0[/tex]

[tex]H_1: p_B - p_A > 0[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{s}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that [tex]\mu = 0[/tex]

From the sample:

[tex]X = p_B - p_A = 0.2 - 0.1 = 0.1[/tex]

[tex]s_A = \sqrt{s_A^2+s_B^2} = \sqrt{0.03^2+0.04^2} = 0.05[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{s}[/tex]

[tex]z = \frac{0.1 - 0}{0.05}[/tex]

[tex]z = 2[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a difference of proportions of at least 0.1, which is 1 subtracted by the p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.976.

1 - 0.976 = 0.024, so the p-value is given by option B.

The p-value of the test is 0.024 < 0.05(standard significance level), which means that there is enough evidence that the proportion of freshmen who graduated in the bottom third of their high school class in 2001 has been reduced.

The two cones below are similar. What is the value of x?

Cone 1
Height = 10
Radius = 3

Cone 2
Height = 3
Radius = x

A. 0.3
B. 0.9
C. 0.09
D. 0.18

Answers

Answer:

If they are similar, the ratio of 10/3 should be the same as the 3/x

then solve

10/3 = 3/x

cross multiply

10x=8

x = 9/10

so C. is the right answer

The missing value in the smaller cone is 0.9 units.

What is similarity?

Similarity in math is a concept that relates to the shape and size of figures. Two figures are similar if they have the same shape, but not necessarily the same size.

Given that, two similar cones, we need to find the value of x in the smaller cone,

Since, the cones are similar, then according to the definition of similarity,

we know that the dimensions will be in equal proportion,

Let the dimensions of the big cone be H (height) and R (radius) and that of smaller cone be h (height) and r (radius)

So,

H / R = h / r

10 / 3 = 3 / x

x = 9/10

x = 0.9

Hence, the missing value in the smaller cone is 0.9 units.

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Consider this equation. tan) 19 17 If 8 is an angle in quadrant II, what is the value of Cos() OA. 19 6 OB. 17 6 O c. V18 6 OD. 17​

Answers

Using trigonometric identities, it is found that the value of [tex]\cos{\theta}[/tex] is given by:

B. [tex]\cos{\theta} = \frac{\sqrt{17}}{6}[/tex]

What is the tangent of an angle?

It is given by the division of it's sine by it's cosine, that is:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

In this problem, the equation given is:

[tex]\tan{\theta} = -\sqrt{\frac{19}{17}}[/tex]

That is:

[tex]\frac{\sin{\theta}}{\cos{\theta}} = -\sqrt{\frac{19}{17}}[/tex]

[tex]\sin{\theta} = -\sqrt{\frac{19}{17}}\cos{\theta}[/tex]

The following identity is applied:

[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]

Then:

[tex]\left(-\sqrt{\frac{19}{17}}\cos{\theta}\right)^2 + \cos^2{\theta} = 1[/tex]

[tex]\frac{36}{17}\cos^2{\theta} = 1[/tex]

[tex]\cos^2{\theta} = \frac{17}{36}[/tex]

[tex]\cos{\theta} = \frac{\sqrt{17}}{6}[/tex]

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Answer:

Hi sorry I just wanted to ask is it B or D? positive or negative?

Step-by-step explanation:

edmentum is the worst

Select the equations of the lines that are parallel to the line whose equation is y = 3x + 5.

Answers

Answer:

y = -1/3x

Step-by-step explanation:

HELP ASAP ILL GIVE BRAINLIST


In a study on the placebo effect on 100 students, 64 were found to perform better on tests after taking a fake pill to improve concentration. What is the experimental probability the placebo pill induced better concentration on the student exams?

Answers

Answer:

16/25 or 64%

Step-by-step explanation:

In this problem we see that 64 out of the 100 students did better on the exams. So, to find the answer we must find the percentage form of 64 out of 100.

Step one:

what exactly is 64 out of 100? Well, in the math world when we see 'out of' we know that means 'divided by'. So, 64 out of 100 is 64/100.

Step two:

now we have to turn 64/100 into a percentage. We know that 1/100 is 1% so lets multiply 1 by 64. 64*1 = 64. This means that 64/100 = 64%.

I'm not 100% sure what form you need your answer in but if you need it in percentage for the answer is 64%. If you need your answer in a fraction form the answer would be 64/100 or 16/25 if we simplify the answer.

I hope this helps!!

Two friends are writing practice problems to study for a trigonometry test. Sam writes the following problem for his friend Anna to solve:

In right triangle ABC, the measure of angle C is 90 degrees, and the length of side c is 8 inches.
Solve the triangle.
Anna tells Sam that the triangle cannot be solved. Sam says that she is wrong.
Who is right? Explain your thinking

Answers

Answer:

Anna is right in her meaning concerning on triangle solvability.

Step-by-step explanation:

The side [tex]c[/tex] represents the hypotenuse of a right triangle as [tex]C = 90^{\circ}[/tex] and is opposite to that angle. There are two ways to solve this triangle trigonometrically:

i) Law of Sine

[tex]\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}[/tex] (1)

ii) Law of Cosine

[tex]c^{2} = a^{2} + b^{2} - 2\cdot a\cdot b \cdot \cos C[/tex] (2)

The Pythagorean Theorem is a particular case of the Law of Cosine for [tex]C = 90^{\circ}[/tex]

The triangle cannot be solved as there is an input missing, either another side or another angle. If [tex]C = 90^{\circ}[/tex], then (2) is reduced into this form:

[tex]c^{2} = a^{2}+b^{2}[/tex] (2b)

In this case we need to know the measure of either [tex]a[/tex] or [tex]b[/tex] to determine its counterpart and the values of the missing angles by (1). In nutshell, Anna is right.

points V W X Y and Z are collinear, VZ= 52, XZ =20, and WX=XY=YZ find the indicated length

21.) WX 22.) VW 23.) WY 24.) VX 25.) WZ 26.) VY

Answers

Answer:

WX=10; VW=22; WY=20; VX=32; WZ=30;VY=42

Step-by-step explanation:

1)WX=XY=XZ/2=20/2=10

2)VW=VZ-WX-XY-YZ=VZ-3*WX=52-3*10=52-30=22

3)WY=WX+XY=2*WX=2*10=20

4)VX=VW+WX=22+10=32

5)WZ=WX+XY+YZ=3*WX=3*10=30

6)VY=VZ-YZ=52-10=42

The points V, W, X, Y and Z are collinear. The indicated lengths are

[tex]WX=10\\VW=22\\WY=20\\VX=32\\WZ=30\\VY=42[/tex]

Given :

points V, W, X, Y and Z are collinear, VZ= 52, XZ =20, and WX=XY=YZ

Lets make diagram using the given information

The diagram is attached below

XY=YZ

XZ=20, so [tex]XY+YZ=20\\Both XY and YZ are same\\XY+XY=20\\2XY=20\\Divide \; by \; 2\\XY=10[/tex]

[tex]WX=XY=YZ \\XY=10\\WY=10\\YZ=10\\[/tex]

Now we find out VW

[tex]VW+WX+XY+YZ=52\\VW+10+10+10=52\\VW+30=52\\Subtract \; 30\\VW=52-30\\VW=22[/tex]

Now we find the indicated length

[tex]WX =10[/tex]

[tex]VW=22\\WY=WX+XY=10+10=20\\VX=VW+WX=22+10=32\\WZ=WX+XY+YZ=10+10+10=30\\VY=VW+WX+XY=22+10+10=42[/tex]

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Correct answer gets 5 stars and brainliest

Answers

Answer:

Does the answer help you?

Answer:

D

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other two sides then the triangle is right.

longest side = 12 and 12² = 144

5² + 8² = 25 + 64 = 89

Since 5² + 8² ≠ 12² , then triangle is not right → D

a car can complete journey of 300 km with the average speed of 60 km per hour how long does it take to complete the journey what is the speed of the car if it covers only 200 km in the same interval of the time
please I need help urgent ​

Answers

Answer:

a. 5 hours

b. 40 kph

Step-by-step explanation:

300 km ÷ 60 km = 5 hours

200 km ÷ 5 hours = 40 kilometers per hour

enter the repeating digit
[tex] \frac{9}{11} [/tex]

Answers

Answer:

Step-by-step explanation:

[tex]\frac{9}{11}=0 .818181....[/tex]

     __  

= 0.81

Please help with this question

Answers

Answer:

-3.662rad × 180/π = -209.8°

Step-by-step explanation:

Answer:

1 degree = .01745329 radians

1 radian = 57.2957877856 degrees

-209.8 degrees = .01745329 * -209.8 =

-3.66170024200 radians

Step-by-step explanation:

Two of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.

Answers

Answer:

The third exterior angle is [tex]103^o[/tex]

Step-by-step explanation:

Given

[tex]\theta = 158^o[/tex]

[tex]\alpha = 99^o[/tex]

Required

The third exterior angle [tex](\beta)[/tex]

The exterior angles of a triangle add up to 360 degrees.

So:

[tex]\theta + \alpha + \beta = 360^o[/tex]

Make [tex]\beta[/tex] the subject

[tex]\beta = 360^o - (\theta + \alpha)[/tex]

Substitute known values

[tex]\beta = 360^o - (158^o + 99^o)[/tex]

[tex]\beta = 103^o[/tex]

please help asap it's important!!!​

Answers

Answer:

486cm^2

Step-by-step explanation:

Surface area of cube = (6a^2)

6×9×9=486.

Simplify the following, leaving your answer with a positive exponent:
x^-12/ x^-7

Answers

Answer:

[tex]\frac{1}{x^{5} }[/tex]

Step-by-step explanation:

x^-12/ x^-7

= x^(-12-(-7))

= x^-5

= 1/x^5

If I have 180$ and a pack of dvds cost 18 how much can I buy

Answers

Answer:

10 packs of dvds

Step-by-step explanation:

$180 / $18 = 10 packs

You can buy a maximum of 10 dvd packs

Answer:

you can buy 10 dvds that is thr answer

The population of a place in a particular year increased by 15% next year it decreased by 15%. Find the net increase or decrease percent in the initial population

Answers

Answer:

there was a decrease of 2.25%

Step-by-step explanation:

Let me illustrate with an example

Assume the population is 100

percentage increase = 100 + 15 = 115% = 1.15%

Population after 15% increase = 100 x 1.15 = 115

Percentage decrease = 100 - 15 = 85% = 0.85

Population after 15% decreases 115 x 0.85 = 97.75

rate of increase = (97.75 / 100) - 1 = -2.25%

Determine the period.

Answers

Answer:

4

Step-by-step explanation:

The period is the length of one cycle.

By cycle, I mean the smallest piece that can be traced and copied over and over to form the whole graph. If you notice the graph starts at x=0 and the curve makes a complete cycle by x=4. The cycle starts over again at x=4 and ends at x=8. I hope you are seeing the graph looks exactly the same from x=0 to x=4 as x=4 to x=8.

The length of one cycle of this graph is 4.

The period of function is,

P = 4

Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.

Here, Graph of function is shown.

Hence, The period of function is,

P = 4

Therefore, The period of function is,

P = 4

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Algunos granos de maíz al ser calentados revientan y pierden agua de manera explosiva.
En promedio se puede considerar que tienen una masa de 125 mg y cuando explotan (palomitas
de maíz) su masa es de 106 mg. ¿Cuántos granos de maíz pira se requerirán para obtener una
libra de palomitas de maíz?

Answers

Answer:

Step-by-step explanation:

4280 granos de maíz pira se requerirán para obtener una libra de palomitas de maíz.

Cálculo

Dado que algunos granos de maíz al ser calentados revientan y pierden agua de manera explosiva, y en promedio se puede considerar que tienen una masa de 125 mg y cuando explotan (palomitas de maíz) su masa es de 106 mg, para determinar cuántos granos de maíz pira se requerirán para obtener una libra de palomitas de maíz se debe realizar el siguiente cálculo:

453592 mg = 1 lb453592 / 106 = X4279.16 = X

Por lo tanto, 4280 granos de maíz pira se requerirán para obtener una libra de palomitas de maíz.

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plz help me ans fast for 10 pts​

Answers

Answer:

universal set is the right answer

x²+y²+6x+8y+24=0 asap reply plss.. Sana umabon ng 1 makasagot​

Answers

Answer:

3

Step-by-step explanation:

Other Questions
Please it is urgent I know there are more points there are 4 questions I will give the brainiest to the right answer (Don't spam plz ) Columbus would receive all of the following rewards for his discovery except:control of all discovered landstitle of Admiral of the Ocean Seasone-tenth of all discovered riches identify the area of a regular decagon with side length 2 m rounded to the nearest tenth Give one pair of supplementary angles and one pair of vertical angles shown in the figure below.(a) Supplementary angles:(b) Vertical angles: Required information Skip to question [The following information applies to the questions displayed below.] The Tennis Times (TTT) is a publisher of magazines. Its accounting policy for subscriptions follows: Revenues Revenues from our magazine subscription services are deferred initially and later recognized as revenue as subscription services are provided. Assume TTT (a) collected $420 million in 2018 for magazines that will be distributed later in 2018 and 2019, (b) provided $204 million of services on these subscriptions in 2018, and (c) provided $216 million of services on these subscriptions in 2019. Required: Using the information given, indicate the accounts, amounts, and accounting equation effects of transactions (a), (b), and (c). (Enter any decreases to assets, liabilities, or stockholders equity with a minus sign. Enter your answers in whole dollars.) whats the answer?? please help ANSWER PLS!! :DDWhich of the following is not a property of a regular pyramid?A. lateral faces that are parallelB. lateral faces that are congruent isosceles trianglesC. lateral edges that are congruentD. volume of the pyramid is equal to one-third the product of the area of its base and its altitude Solve the equation.3(n+4)=12(6n+4) The needle in the following diagram rotates around a fixed point in the middle. Based on the information given, what way will the needle rotate when the current is applied? who is current prime minister of nepal ?? A car is travelling in the velocity of 20 m/ s . After 30 sec it covers a distance of 1200 m. Calculate the acceleration of car and the final velocity of the car Help!!! please!!! Confused! Martine grew at an average rate of 6cm/year for the first 18 years of her life. If Martine was 50 cm long when she was born, how tall was Martine when she turned 18? What effect will replacing x with (x4) have on the graph of the equation y=(x3)2 y = ( x 3 ) 2 ? Answer one question only from this 5a Explain the following terms;(0)3 marksLayout(ii) Settlement3marks(iii) Slum3marks(iv) Natural Disaster 48-15{3(-2-4+11)}+12 My birthday in December how much weight you think I can lose until then? If fx) = 22 - 5 and g(x) = 3+3, find (f-g)(x).. -? - 8. 3 - 2x2 - 2. 2 - 3x-2OD. 22 3 8 write each of the following fraction as equivalent fractions with a denominator of 10 a. 1/2 b. 1/4 c. 3/30 d. 12/30 Which fraction is greater than the fraction represented by the model?HURRY PLS IM BEING TIMED!!!!