Writing Parametric Equations from a Graph
Use the graph to answer the question.

Which parametric equations describe the curve?

Answer:

Step-by-step explanation:

This is terminated after 4 places of decimal

Answer:

Step-by-step explanation:

In the decimal expansion of a rational number, the general rule is that if the denominator is of the form 2^m*5^n, then it will terminate after n places if n>m or m places if m>n.

In this case, 4 > 3 so the expansion will terminate after 4 decimal places.

Answer:

non-proportional

Step-by-step explanation:

Answer:164.9

Step-by-step explanation:d=m/v

V=m/d

V=453.5/2.75

V=164.9

Answer:

Step-by-step explanation:

10 games, 8 rides

Answer:

this is the answer in the image above

Answer:

look attachment

Answer:

Hi! The answer to your question is [tex]n=m/2-x[/tex]

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☁Brainliest is greatly appreciated!☁

Hope this helps!!

- Brooklynn Deka

Answer:

n= 1/2  m−x

Step-by-step explanation:

m=2(x+n)

Step 1: Flip the equation.

2n+2x=m

Step 2: Add -2x to both sides.

2n+2x+−2x=m+−2x

2n=m−2x

Step 3: Divide both sides by 2.

2n/2   =  m−2x /2

n= 1/2  m−x

Hopes this helps

Answer:A snow day occurs when school is canceled for the day because of bad winter weather. The box below shows the number of snow days at Andrew's school during each of the past six winters.

Step-by-step explanation:

Respuesta:

8

Explicación paso a paso:

Si A, B y C son números enteros, según la propiedad distributiva;

A (B + C) = AB + AC

tenga en cuenta que A se distribuyó sobre B y C

Aplicando esto para expandir la expresión dada -4. (-5 + 3)

-4. (-5 + 3)

= -4 (-5) + -4 (3)

= 20 + (-12)

= 20 - 12

= 8

Por lo tanto, la respuesta requerida es 8

Answer:

∠ 1 = 72°

Step-by-step explanation:

(4n - 2) and (2n + 17) are adjacent angles and sum to 180° , that is

4n - 2 + 2n + 17 = 180

6n + 15 = 180 ( subtract 15 from both sides )

6n = 165 ( divide both sides by 6 )

n = 27.5

Then

2n + 17 = 2(27.5) + 17 = 55 + 17 = 72

∠ 1 and 2n + 17 are vertical angles and congruent , so

∠ 1 = 72°

Answer:

Area ≈ 3077.68

Explanation:

See attached image for equation

Answer:

False

Step-by-step explanation:

The coefficients (numbers in front) don't matter, but the exponents do.

Like terms have exactly the same exponents on the same variables.

[tex]54x^2y^3\text{ and }-12x^3y^2[/tex] are not like terms.

Example: [tex]6x^3y^2\text{ and }-14x^3y^2[/tex] are like terms--same exponents on the x's, same exponents on the y's.

Answer:

False

Step-by-step explanation:

two like therms have the same literal part. This is not the case because

x^3 is different from x^2 (for example if x = 2 ; 8 is not 4)

y^3 is different from y^2

Answer: 12

Step-by-step explanation:

Since Duane has 30 pairs of socks in a drawer and he has 6 matched pairs and the rest are of the socks are mismatched, the number if mismatched socks will be:

= 30 - 6

= 24 mismatched socks

Since he packed 1/2 of his mismatched pairs in his duffle bag for a week at summer camp, therefore, the number of socks he packed will be:

= 1/2 × 24

= 12

Therefore, he packed 12 socks for summer camp.

Answer:

yep

Step-by-step explanation:

nice

Answer:

$1.50

Step-by-step explanation:

The computation is shown below:

Given that

The cost of each cupcakes be 0.50 cents

And, the cost of doughnuts be $25

So for two doughnuts the cost would be 2.50

And, for two cupcakes, the cost would be 0.50 × 2 = 1

So, the more amount would be

= 2.50 - 1

= $1.50

Hence, the same would be considered and relevant too

Answer:

x+10=45

x+10-45=0

x-35=0

x=35

Given:

Slips of paper numbered 1 to 15 are placed in a box.

To find:

The probability that the number picked is either a multiple of 5 or an odd number.

Solution:

We have,

Total outcomes = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15

No. of total outcomes = 15

Multiple of 5 are 5, 10, 15.

Odd numbers are 1, 3, 5, 7, 9, 11, 13, 15.

Number that are either a multiple of 5 or an odd number are 1, 3, 5, 7, 9, 10, 11, 13, 15.

No. of favorable outcomes = 9

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{9}{15}[/tex]

[tex]\text{Probability}=\dfrac{3}{5}[/tex]

[tex]\text{Probability}=0.6[/tex]

Therefore, the  probability that the number picked is either a multiple of 5 or an odd number is 0.6.

Answer: Approximately normal, because we expect 19.2 successes and 20.8 failures from people in their twenties, and 16.8 and 43.2 from people in their fifties, and all of these counts are at least 10.

Step-by-step explanation:

Answer:

28,882.87

Step-by-step explanation:

 20,157.50

+   8,725.37

  28,882.87

Answer:

28,882.87

Step-by-step explanation:

       1

20,157.5

+ 8,725.37

28,882.87

Answer:

37(.3)

Step-by-step explanation:

13/40 × 115=37.375 members or 37 members workout more than 4 times per week

Answer:

y = 3x^2 + 6x + 1

Step-by-step explanation:

We're given two points on the graph:  (-1, -2) and (0, 1).  

The pertinent equation is

y=ax^2+bx+c, but the vertex form would also be useful:  y - k = a(x - h)^2.

Note that this parabola opens up, and that the minimum point is also the vertex:  (-1, -2).

The vertex is (-1, -2), and so:  y + 2 = a(x + 1)^2, and

the graph goes through (0, 1), so we can rewrite y + 2 = a(x + 1)^2 as

1 + 2 = a(0 + 1)^2, or:

  3 = a(1)

So now we know that a = 3 and that the equation of this parabola in vertex form is y + 2 = 3(x + 1)^2

Lastly we must put the above result into standard form.  To do this, perform the indicated multiplication.

y + 2 = 3(x^2 + 2x + 1) = 3x^2 + 6x + 3

Writing y on the left and all the rest on the right, we get

y = 3x^2 + 6x + 1

Answer:

Have a great rest of ur day :)

Step-by-step explanation:

Answer:

98

Step-by-step explanation:

i am smart

Answer:

Graph C

Step-by-step explanation:

Answer:

I) ∠CAB measures 60°.

II) BC measures approximately 15.23 cm.

*Please read notes.

Step-by-step explanation:

We are given ΔABC, where AB measures 10√3 cm, AC measures 6 cm, and the triangle has an area of 45 square cm.

And we want to find I) the measure of ∠CAB and II) the length of BC.

I) First, we should always draw a representative triangle so we can determine the sides and angles. This is shown below.

Note that ∠CAB (or simply ∠A) is the angle between the two sides. Thus, we can find the angle by using the alternative formula for the area of a triangle:

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

Where a and b are two side lengths, and C is the angle between the two sides.

Substitute:

[tex]\displaystyle 45=\frac{1}{2}(10\sqrt{3})(6)\sin(A)[/tex]

Simplify:

[tex]\displaystyle 45=30\sqrt{3}\sin(A)[/tex]

So:

[tex]\displaystyle \sin(A)=\frac{45}{30\sqrt{3}}=\frac{3}{2\sqrt3}=\frac{\sqrt{3}}{2}[/tex]

Take the inverse sine of both sides. Use a calculator. Thus:

[tex]\displaystyle m\angle A=\sin^{-1}\left(\frac{\sqrt{3}}{2}\right)=60^\circ[/tex]

II) To find BC, we will use the Law of Cosines. We do not know whether or not ΔABC is a right triangle, so we cannot use right triangle trigonometry or special right triangles.

The law of cosines is:

[tex]\displaystyle c^2=a^2+b^2-2ab\cos(C)[/tex]

Where a and b are side lengths and C is the angle between the side lengths. c is the side length opposite to the angle.

BC is opposite to A. Substitute:

[tex](BC)^2=(10\sqrt{3})^2+(6)^2-2(10\sqrt{3})(6)\cos(60^\circ)[/tex]

Simplify:

[tex]\displaystyle BC^2=336-120\sqrt{3}\left(\frac{1}{2}\right)=336-60\sqrt{3}[/tex]

Take the square root of both sides:

[tex]\displaystyle BC=\sqrt{336-60\sqrt{3}}\approx 15.23[/tex]

BC measures about 15.23 cm.

Notes:

In this case, the inverse sine of √3/2 will yield two answers: 60° and 120°. This is an example of an ambiguous case. Both of these angles will work. However, BC will be different. If ∠A is 60°, then BC is about 15.23. However, if ∠A is 120°, then BC is about 20.97. Both will result in the triangle having an area of 45 square cm, as well as AB measuring 10√3 and AC measuring 6.

Answer:

x = 4.5

Step-by-step explanation:

Since the perimeters are equal , then the equation relating them is

2x + 3 + 2x - 3 + x = x + 3 + x + 3 + x + 3 , that is

5x = 3x + 9 ( subtract 3x from both sides )

2x = 9 ( divide both sides by 2 )

x = 4.5