the final answer math

Answer:

The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].

Step-by-step explanation:

We proceed to use the following trigonometric identity to derive an expression in rectangular form:

[tex]\cos^{2} t + \sin^{2} t = 1[/tex] (1)

Where:

[tex]\cos t = \frac{2-x}{3}[/tex] and [tex]\sin t = \frac{y-1}{4}[/tex]

Then, we expand the expression as follows:

[tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex] (2)

The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].

Answer:  y=2-2x

Step-by-step explanation:

Answer:

1. 6

2. 6

3. 10

4. 600

Step-by-step explanation:

edg :)

The complete table is given below.

x          f(x)            g(x)           h(x)

 1          2                3               6

2          4                6              24

5         10               15             150

10        20              30            600

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), and a ratio of 2 to 3. The area of the deck is represented by the function h(x).

The functions are given below.

f(x) = 2x

g(x) = 3x

h(x) = f(x) × g(x) = 6x²

Complete the table with the missing side lengths and areas of the deck.

x          f(x)            g(x)           h(x)

 1          2                3               6

2          4                6              24

5         10               15             150

10        20              30            600

More about the function link is given below.

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Answer:

no solution for the answer

Answer:

it's the top right box

Step-by-step explanation:

start from the first box and count how many units was added

Answer:

V = 29 + j3

Step-by-step explanation:

4+j3 amps and resistance of 5-j3 ohms what is the voltage of the circuit

V = IR     I = 4+j3 amps    R = 5-j3 ohms

V =  4+j3 × 5-j3

V = [4 × 5]+[j3 × -j3] + [4 × -j3] + [j3 × 5]

V = 20 + (-j²)9  + (-j12) + j15

V = 20 - 9 + j3                  j3 × -j3 = 9 not -9    j = -1    j × j = -1  not 1  my mistake

V = 11 + j3   WRONG

my daughter's old TI 84 Plus Silver Edtion calculator     got 29+j3

Answer:

a.0

Step-by-step explanation:

The slope of any horizontal line is 0

Answer:

A, 0

Step-by-step explanation:

The slope of a line is Change in Y / Change in X. This line is parallel to X-axis, meaning the Y will always be the same. This means that the change in y is 0, meaning the slope is 0 / Change in X, which is 0.

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer:

160% of 35 is 56.

Step-by-step explanation:

[tex]\frac{56}{y} :\frac{160}{100}[/tex]

y · 160 = 56 · 100

160y = 5600

160y ÷ 160 = 5600 ÷ 160

y = 35

Answer:

128 is your answer

Step-by-step explanation:

1 gallon of milk will make 128 servings.

100% Correct hope this helps ツ

Answer:

25

Step-by-step explanation:

16 cups = 1 gallon

1 1/4 * 12 = 15 (12 cups)

15 * 2 = 30 (24 cups)

30 + 1 1/4 = 31 1/4 (25 cups)

Brainliest please UwU

Answer:

x = 0

Step-by-step explanation:

3(x - 2) + 15= -3(x - 3)

3x - 6 + 15 = -3x + 9

3x + 9 = -3x + 9

3x + 3x = 9 - 9

6x = 0

x = 0

Answer:

4ft, 7 inches

Step-by-step explanation:

4 ft (48 inches), 7 inches

Answer:

see below

Step-by-step explanation:  5  26  9  17

cylinder with a radius of 7cm and a height of 10 cm

find the value of each flower pot and divided it into 24000 cm³

flower pot = π r² h   =  π × 7² × 10   =  π490    =  1539.38 cm³

24000 cm³ / 1539.38 cm³  =  15.59  flower pots

so Carl could only FILL 15 flower pots

Carl is filling flowerpots with soil. Each flowerpot is a cylinder with a radius of 7cm and a height of 10 cm. If Carl has 24,000 cubic centimeters of soil. So, Carl could only fill 15 flower pots.

Suppose that the radius of considered right circular cylinder be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \pi r^2 h \: \rm unit^3[/tex]

The cylinder with a radius of 7cm and a height of 10 cm.

The flower pot = π r² h  

[tex]= \pi \times 7^2 \times h\\ = 490 \pi \\ = 1539.38 cm^3[/tex]

= 24000 cm³ / 1539.38 cm³  

=  15.59  flower pots

So, Carl could only fill 15 flower pots.

Learn more about the volume of the cylinder here:

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Answer:

Cost of each eagle stamp = $0.25

Cost of each racoon stamp = $0.4

Step-by-step explanation:

Given:

Cost of 8 eagle stamp and 2 racoon stamp = $2.80

Cost of 3 eagle stamp and 4 racoon stamp = $2.35

Find:

Cost of each stamp

Computation:

Assume;

Cost of each eagle stamp = e

Cost of each racoon stamp = r

So,

8e + 2r = 2.80........... Eq 1

3e + 4r = 2.35 ........... Eq 2

Eq 1 x 2

16e + 4r = 5.6 .........Eq3

Eq 3 - Eq 2

13e = 3.25

e = 0.25

Cost of each eagle stamp = $0.25

8e + 2r = 2.80

8(0.25) + 2r = 2.80

2 + 2r = 2.80

r = 0.4

Cost of each racoon stamp = $0.4

Answer:

True

Step-by-step explanation:

The Answer is 75.36 cm

2 x (pi)3.14 = 6.28

6.28 x (r)3 = 18.84

18.84 x (h)4 = 75.36

The statement, "If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters." is true.

"A cylinder is a three-dimensional geometrical structure which consists of two circular bases connected with a curved surface."

For a cylinder with radius r and height h,

the curved / lateral surface area is,

A = 2 × π × r × h

Given: r = 3 cm, h = 4 cm

Using the formula for area of lateral surface of a cylinder:

⇒ A = 2 × π × 3 × 4

⇒ A = 24 × π

⇒ A = 24 × 3.14

⇒ A = 75.36 sq.cm.

Therefore, given statement is true.

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Answer:

The final answer is 27.889 (Feel free to round it)

Step-by-step explanation:

3.35 x 2.14 = 7.169

7.169 + 25 = 32.169

2 x 2.14 = 4.28

32.169 - 4.28 = 27.889

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

3:31

Step-by-step explanation:

3 hours 55 minutes - 24 minutes = 3 hours 31 minutes

Answer:

3:31 PM

Step-by-step explanation:

55 - 24 = 31

So,

3:31 is the answer :)

Answer:

x=48

Step-by-step explanation:

You start with the values of 4 and 16. Figure out how many times 4 goes into 16, which is 4. (4*4=16)

Now, since 4 is multiplied by itself to reach the value of 16, 12 will also be multiplied by 4 to give you the value of x.

Answer:

8:05 am is the time she will have to leave her house to get to the airport on time.

Step-by-step explanation:

First, subtract 55 minutes from 10:20.

10:20 - 20 = 10:00

10:00 - 35 = 9:25

This is the time she wants to arrive. 9:25

Now, we have to subtract an hour and 20 minutes

9:25 - 1:00 = 8:25

8:25 - 20 = 8:05

Hope this helped and have a great day! :)

Answer:

d. 28.3

Step-by-step explanation:

Given

Radius ( r) = 3 m

Area of the circle

= π r²

= 3.14 * 3* 3

= 28.26

= 28.3 ft²

Answer:

78.5 (please put brainliest)

Step-by-step explanation:

r = diameter / 2 = 5

area = π * r^2 = 25 * 3.14 = 78.5

Answer:

78.5 m^2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The intersection of plane A and line m can be describes as line m .

Let's a plane. Consider a design or shape on that plane. Now consider an axis.

If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, therrefore that shape is called to have a reflectional symmetry.

Given that Planes A and B intersect.

We can see the two walls as planes in geometry.

A plane can be thought of as a wall or a floor of a room also a flat surface that has no thickness.

When two planes intersect, their intersection is a line.

Learn more about symmetry here:

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Answer:

x=5

Step-by-step explanation:

All we have to do for this equation is cross multiply. This means we multiply 7 and 5 together and 5 and x+2 together. This will make the equation 35=5(x+2). Simplify this to get 35=5x+10. Subtract 10 from both sides to get 5x=25. You want to isolate x so you have to divide both sides by 5. This will make the equation x=5.

If this has helped please mark as brainliest

Answer:

A) (1+0.3)25

Explanation:

Zoe's expression 25+0.3(25) equals to 32.5. So the only expression that equals to 32.5 is A) (1+0.3)25.