What is the difference of 21x / 3x^2 - 2 and 7 / 3x^2 - 2. Show steps

Answer:

B 0.34

Step-by-step explanation:

If 34% of all people are expected to get the flu, then that means 34% of any sample size should also expect to be infected.  If they choose 1 person at random from either the population or a preselected random sample, then that person has a 34% chance of getting the flu.  0.34 is the decimal corresponding to 34%. So the probability is 0.34

Convert the percentage to a decimal. The answer is 0.34.

Answer:

The area of the triangular garden is [tex]173\ ft^{2}[/tex]  

Step-by-step explanation:

we know that

The equilateral triangle has three equal sides and three equal internal angles (the measure of each internal angle is 60 degrees)

The area of a triangle applying the law of sines is equal to

[tex]A=\frac{1}{2}(a)(b)sin(C)[/tex]

In this problem we have a equilateral triangle

therefore

[tex]a=b=20\ ft[/tex]

[tex]C=60\°[/tex]

substitute

[tex]A=\frac{1}{2}(20)(20)sin(60\°)[/tex]

[tex]A=\frac{1}{2}(20)(20)\frac{\sqrt{3}}{2} \\ \\A=100\sqrt{3}\ ft^{2}\\ \\A=173\ ft^{2}[/tex]

Answer:

-x^2+3x

Step-by-step explanation:

Answer:

41.776756 miles

Step-by-step explanation:

Using trigonometry and the Law of Cosines, we find that the distance between city A and city B is approximately 122.47 miles.

The question involves using trigonometry to solve for distances between points in a coordinate system, which represents cities in this context. To determine how far city A is from city B given that city C is 35° west of north from city B and specific distances from cities A and B, we can set up a right-angled triangle between the cities.

First, we calculate the angle formed at city B using the information provided about city C's angle. Since city C is 35° west of north and city A is due east of city B, the angle between cities A, B, and C is 180° - 35° = 145°.

We now have a triangle with cities A, B, and C forming the vertices and the following information: side BC (70 miles), side CA (100 miles), and angle BAC (145°). We can solve for the distance between city A and B using the Law of Cosines:

c² = a² + b² - 2ab×cos(C), where c is the side opposite the angle C and a and b are the other two sides.

The distance between cities A and B (side c) is therefore calculated as:

c = √(70² + 100² - 2×70×100×cos(145°))

After calculation, we find that the distance between city A and city B is approximately 122.47 miles.

Patti swam a total of 5 hours and 25 minutes over the three days—1 hour and 15 minutes on Monday, 2 hours and 30 minutes on Tuesday, and 1 hour and 40 minutes on Wednesday.

Patti went swimming for 1 hour and 15 minutes on Monday. To find out how long she swam over the three days, we need to calculate the time for each day and then sum them up.

On Tuesday, she swam twice as long as she did on Monday, which means she swam 2 * (1 hour and 15 minutes) = 2 hours and 30 minutes.

On Wednesday, she swam 50 minutes less than the time she swam on Tuesday, which means she swam (2 hours and 30 minutes) - 50 minutes = 1 hour and 40 minutes.

To find the total time Patti spent swimming during the three days, we add up Monday's, Tuesday's, and Wednesday's swimming times:

The total is 5 hours and 25 minutes.

Answer:

B

Step-by-step explanation:

Let length of Green Route be g and length of Blue Route be b

From 1st bullet point we can write the equation:

6g+5b = 52

From 2nd bullet, we can write:

12g + 13 b = 119

We can solve for b of the 1st equation as:

[tex]6g+5b = 52\\5b=52-6g\\b=\frac{52-6g}{5}[/tex]

Now we can put this value of b into 2nd equation and solve for g (as shown below):

[tex]12g+13b=119\\12g+13(\frac{52-6g}{5})=119\\12g+\frac{676-78g}{5}=119\\\frac{60g+676-78g}{5}=119\\60g+676-78g=5*119\\60g+676-78g=595\\-18g=-81\\g=\frac{-81}{-18}=4.5[/tex]

Hence, the green route is 4.5 miles, B is right.

90 speed in meters

:explenation step by step

1. 5× =450

2. 450÷5=90

3.5×90=450

Final answer:

Janice's swimming speed is calculated by dividing the distance she swims, 450 meters, by the time it takes, 5 minutes, resulting in a speed of 90 meters per minute.

Explanation:

To calculate Janice's swimming speed in meters per minute, you divide the distance she swims by the time it takes her to swim that distance. Janice swims 450 meters in 5 minutes.

Swimming speed = Distance ÷ Time.

Swimming speed = 450 meters ÷ 5 minutes = 90 meters per minute.

Therefore, Janice's swimming speed is 90 meters per minute.

Explanation:

Use the Pythagorean identity, cancel common factors, and divide numerator and denominator by cos(x). Equivalently, multiply numerator and denominator by sec(x).

[tex]\dfrac{\sin^2{x}+2\cos{x}-1}{\sin^2{x}+3\cos{x}-3}=\dfrac{1-\cos^2{x}+2\cos{x}-1}{1-\cos^2{x}+3\cos{x}-3} \qquad\text{replace $\sin^2$ with $1-\cos^2$}\\\\=\dfrac{\cos{x}(2-\cos{x})}{(\cos{x}-1)(2-\cos{x})}=\dfrac{\cos{x}}{\cos{x}-1}=\dfrac{1}{\dfrac{\cos{x}}{\cos{x}}-\dfrac{1}{\cos{x}}}=\dfrac{1}{1-\sec{x}}[/tex]

Answer:

Step-by-step explanation:

For equation:  y = 2x + 3 , 2x - y = 5

Compare equation y = 2x + 3 with y = m x + c then we get slope 'm' is 2.

Now, put x = 0 in y = 2x + 3 to get y-intercept

y = 2(0)+ 3

y = 0 + 3

y =  3

so, the y-intercept is 3 .

Re-write this equation 2x - y = 5 in the slope intercept form;

Subtract 2x from both the sides of 2x - y = 5

2x - y - 2x = 5 - 2x

- y = - 2x + 5

Multiply both the sides by '-1'

y = 2x - 5

so, when we compare above equation with y = m x + c then we get slope 'm' is 2 .

Now, put x = 0 in y = 2x - 5 to get y-intercept

y = 2(0) - 5

y = 0 - 5

y =  - 5

so, the y-intercept is - 5 .

Equation y = 2x + 3 and  2x - y = 5 are parallel (since there slope are equal 'm = 2').

There is no solution to this system of equations.

For equation:  3x - y = 5 , 2x + y = -3

Re-write this equation 3x - y = 5 in the slope intercept form;

Subtract 3x from both the sides of 3x - y = 5

3x - y - 3x = 5 - 3x

- y = - 3x + 5

Multiply both the sides by '-1'

y = 3x - 5

so, when we compare above equation with y = m x + c then we get slope 'm' is 3 .

Now, put x = 0 in y = 3x - 5 to get y-intercept

y = 3(0) - 5

y = 0 - 5

y =  - 5

so, the y-intercept is - 5 .

Re-write this equation 2x + y = -3 in the slope intercept form;

Subtract 2x from both the sides of 2x + y = -3

2x - y - 2x = -3 - 2x

- y = - 2x - 3

Multiply both the sides by '-1'

y = 2x + 3

so, when we compare above equation with y = m x + c then we get slope 'm' is 2 .

Now, put x = 0 in y = 2x + 3 to get y-intercept

y = 2(0) + 3

y = 0 + 3

y =  3

so, the y-intercept is 3 .

Equation 3x - y = 5 and 2x + y = -3 are intersecting lines (since their slope are not equal).

There is one solution to the system of equations (since the lines are intersect).

For equation:   y  = x + 4 , y  = x + 4

Compare equation y = x + 4 with y = m x + c then we get slope 'm' is 1.

Now, put x = 0 in y = x + 4 to get y-intercept

y = 0+ 4

y =  4

so, the y-intercept is 4 .

since equation of line are same therefore slopes are also equal

Equation  y  = x + 4 and y  = x + 4 are parallel lines.

There are infinite solutions to the system. ( Since equivalent equation)

Answer is 2/9.

You have 18 marbles in total. You also have 4 blue marbles. 4/18 divided by 2 is 2/9. Therefore 2/9 is the correct answer.

Your answer is C) 2/9

Hope this helps chu fellow kpop fan XD

☆ Dont forget to mark brainliest ☆

Answer:

you don't know the answer?! Come on folk you tweaking.

Step-by-step explanation:

Answer:

5.90551

Step-by-step explanation:

1cm in inches - 0.3937008in

30cm in inches - 11.81102in = approx. 1 foot (1 ft = 12")

The width is 3 3/4. you just have to divide 5 5/8 by 1 1/2.

let's firstly convert those mixed fractions to improper fractions and then proceed.

[tex]\bf \stackrel{mixed}{5\frac{5}{8}}\implies \cfrac{5\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{45}{8}}~\hfill \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf \textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\ \cline{1-1} L=\frac{3}{2}\\ A=\frac{45}{8} \end{cases}\implies \cfrac{45}{8}=\cfrac{3}{2}w\implies \cfrac{45}{8}=\cfrac{3w}{2}\implies 90=24w \\\\\\ \cfrac{90}{24}=w\implies \cfrac{15}{4}=w\implies 3\frac{3}{4}=w[/tex]

i believe the answer is a

Answer:

answer : D

Step-by-step explanation:

Answer: D. 846 units squared

Step-by-step explanation:

12x9=108

108x2=216

15x9=135

135x2=270

12x15=180

180x2=360

360+270+216=846 units squared

The surface area of the rectangular prism is 846 sq.units

A rectangular prism is a three dimensional figure with rectangle at its base. It can also be called as a Cuboid .

A rectangular prism is given with

length 12 units

Width 15 units

Height 9 units

The surface area of the rectangular prism is given by

A = 2 * l * w + 2 * l * h + 2 * w * h

A = 2 * 12 * 15 + 2 * 9 * 12 + 2 * 15 * 9

A = 360 +  216 + 270

A = 846 sq.units

Therefore the surface area of the rectangular prism is 846 sq.units

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Answer:

(x + 1)^2 + (y - 2)^2 = 3^2 = 9

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

Here, h = -1, k = 2 and r = 3, so the equation of this particular circle is

(x + 1)^2 + (y - 2)^2 = 3^2 = 9.

Answer:

Option B

[tex]P(A|B') = \frac{1}{3}[/tex]

Step-by-step explanation:

If B 'is the complement of B then [tex]P(B') = P({\displaystyle {\overline {B}}})=1-P(B) = \frac{2}{3}[/tex]

In a probabilistic experiment, when two events A and B are dependent on each other, then the probability of occurrence A since B occurs is:

[tex]P(A|B') = \frac{P(A\ and\ B)}{P(B')}[/tex]

Then if [tex]P(A\ and\ B) = \frac{2}{9}[/tex] and [tex]P(B') = \frac{2}{3}[/tex]

[tex]P(A|B') = \frac{\frac{2}{9}}{\frac{2}{3}}\\\\P(A|B') = \frac{1}{3}[/tex]

Answer:

The correct answer option is B. 1/3.

Step-by-step explanation:

We are given that P (A ∩ B') = 2/9 and P (B') = 1/3 and we are to find P (A | B').

We also know that the formula of conditional probability is given by:

P (A | B') = P (A ∩ B') / P (B)

So substituting the given values in the formula above to get the value of P (A | B'):

P (A | B') = [tex] \frac { \frac { 2 } { 9 } } { \frac { 1 } { 3 } } = \frac { 2 } { 9 } \times \frac { 3 } { 1 } [/tex] = 1/3

Answer: You must subtract 5 from 12.

Step-by-step explanation:

When solving a one step equation such as this one where you are trying to find x, you must subtract 5 from both sides of the equation. You have to subtract because there is a plus sign: 5 + x = 12

If instead there was a minus sign, you would ADD 5 to both sides. Since it is a plus sign, subtract 5 from 5 and from 12. You then get 7. X=7.

Hope this helped :)

Answer: -5

Step-by-step explanation:

5 + x = 12

-5        -5

________

x = 7

Answer:

  740

Step-by-step explanation:

If x and y represent the numbers of cans Cannon and Haslyn collected, respectively, then the expression x+y represents the total number of cans the two of them collected. The problem statement tells you that, together, they collected 740 cans. The value of x+y is 740. The first equation gives that value the name "A", which means ...

  A = 740

The relationship does not show a direct linear variation best describes f(x)=x−12. Option D is the correct choice.

A function is a specific mathematical relationship with a predefined domain and range, where each value in the domain corresponds to one value in the range.

In the given function, f(x) = x - 12, the slope of the line represents how much 'y' increases as 'x' increases.

A constant slope means that the increase in 'y' is uniform across the entire line. In this case, the slope (m) is 1.

However, this function doesn't exhibit a direct linear variation, as it also has a y-intercept of -12.

The presence of the y-intercept at -12 indicates that the line does not pass through the origin, and therefore, it doesn't show a direct linear variation.

Hence, the linear function f(x) = x - 12 does not display a direct linear variation, making option (D) the correct choice.

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Question:-

Which answer choice best describes f(x)=x−12?

A. The relationship shows a direct linear variation with a constant of variation of −12 .

B. The relationship shows a direct linear variation with a constant of variation of 1.

C. The relationship shows a direct linear variation with a constant of variation of 12.

D. The relationship does not show a direct linear variation

Answer:

1800 meters

Step-by-step explanation:

The function is for every minute represented by X 150 meters is completed...or

x(150m)

To find 12 minutes you replace the x with 12

12(150m)=1800 meters

The function that represents how many meters Jackie can run is: 'y = 150*x + 500'. After 12 minutes, Jackie can run 2300 meters.

The problem is basically describing a linear relationship between the minutes Jackie trains and the total distance she covers. The function can be represented by the equation: y = mx + c. In this context, 'y' represents the total distance run, 'm' represents the speed (150 meters/minute), 'x' represents time (minutes), and 'c' is the initial distance covered (500 meters).

So the function will be: y = 150*x + 500.

To find out how much Jackie run after 12 minutes, substitute 12 for 'x' in the equation: y = 150*12 + 500. After doing the calculations, we see that Jackie can run 2300 meters in 12 minutes.

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ANSWER: Katie Must Plant 133 Shrubs On Friday.

First, We Know That Katie Needs To Plant 500 Shrubs In A Week. So Then, We Add Up 104+87+92+84 And When We Add Those Numbers Up, We Get How Many Shrubs She Has Planted On Monday Tuesday Wednesday And Thursday. To Find Out How Many Plants She Needs To Plant On Friday, Subtract 367 From 500 And You Get 133.

As far as I can tell, the definition of margin of error involves more than you're given in this exercise (for example, you should know how many people were surveyed, the standard deviation, etc etc).

So, I assume that you're looking for a "simplified" interpretation of the margin of error: the estimate are around 80%, with a margin of 4% up or down.

So, you would be claiming that 80% of people is satisfied, with a margin of uncertainty of 4% (so it can be a minimum of 80-4=76 and a maximum of 80+4=84)

Answer:

25150

Step-by-step explanation:

First, we have to see that this is an arithmetic sequence... since to get the next element we add 5 to it.  (a geometric sequence would be a multiplication, not an addition)

So, we have a, the first term (a = 4), and we have the difference between each term (d = 5), and we want to find the SUM of the first 100 terms.

To do this without spending hours writing them down, we can use this formula:

[tex]S = \frac{n}{2} * (2a + (n - 1) * d)[/tex]

If we plug in our values, we have:

[tex]S = \frac{100}{2} * (2 * 4 + (100 - 1) * 5) = 50 * (8 + 99 * 5)[/tex]

S = 50 * (8 + 495) = 50 * 503 = 25150

Answer:

Sum of 100 terms = 25150

Step-by-step explanation:

Formula:-

Sum of n terms of an AP

Sₙ = n/2[2a + (n - 1)d]

Where n - number of terms

a - first term and d - common difference

To find the sum of 100 terms

here, n = 100, a = 4 and d = 5

S₁₀₀ =  n/2[2a + (n - 1)d]

       = 100/2[2*4 + (100 - 1)5]

       = 50[8 + 99*5]

       = 25150

the answer for this question is all are not polynomials

Answer:

The first, second, and last ones are polynomials, the others are not.

Step-by-step explanation:

Answer:

  C.  10

Step-by-step explanation:

The values on the left are proportional to the values on the right. You can write the ratios different ways, but the one I chose is ...

  6/15 = x/25

  6·25/15 = x = 150/15 = 10

The value of x is 10.

Answer:

  c.  30.0 minutes

Step-by-step explanation:

Max mows 1/45 lawns per minute.

Jan takes twice as long (90 minutes per lawn), so mows 1/90 lawns per minute.

Working together, they mow ...

  (1/45 + 1/90) lawns per minute = (2/90 +1/90) lawn/min = 3/90 lawn/min

  = 1/30 lawn/min

Then for one lawn, it takes ...

  (1 lawn)/(1/30 lawn/min) = 30 min

Answer:

A

Step-by-step explanation:

30 min

Answer:

4%

Step-by-step explanation:

Answer:

+/- 4%.

Step-by-step explanation:

That would be +/- (84-76)/2

= +/- 8/2

= +/-4%.

Answer:

I am very disappointed in you. I give you extra credit to try and help your grade and you cheat? Please come and see me tomorrow about what you are doing.

Step-by-step explanation:

Answer:

211 meters

Step-by-step explanation:

Let A represents the Admiral, B represents the Barstow and C represents the Cauldrew.

According to the question,

AB = 402,

∠B = 70°,

∠A = 31°,

∵ ∠B + ∠A + ∠C = 180° ⇒ 70° + 31° + ∠C = 180° ⇒ ∠C = 180° - 101° = 79°

By the law of sine,

[tex]\frac{sin C}{AB}=\frac{sin A}{ BC}[/tex]

By substituting the values,

[tex]\frac{sin 79^{\circ}}{402}=\frac{sin 31^{\circ}}{BC}[/tex]

By cross multiplication,

[tex]BC\times sin 79^{\circ} = 402\times sin 31^{\circ}[/tex]

[tex]\implies BC = \frac{ 402\times sin 31^{\circ}}{sin 79^{\circ}}=210.92050995\approx 211[/tex]

Hence, the distance between the Barstow and the Cauldrew is 211 meters ( approx )

Second option is correct.

Answer:

  x = [-1 | 5, 2 | 1]

Step-by-step explanation:

We assume your notation is used to describe 2×2 matrices.

Solve for x:

  2x -k = m

  2x = m + k . . . . add k

  x = (1/2)(m +k) . . . . multiply by 1/2

Fill in the values:

  x = 1/2[2+(-4) | 8 +2, -2+6 | 5+(-3)]

  x = [-1 | 5, 2 | 1]

The correct answer is B, or the graph attached.

Just got it right on edge 2020, hope this helps!! :)

To solve this equation, you need to isolate/get the variable (d) by itself, to do so, you should add 8 on both sides

d - 8 = 9

d - 8 + 8 = 9 + 8

d = 17       The 2nd option is your answer