the numbers 15.254 and 14.546 should be rounded to which place value to be the same number after rounding

The equivalent equation of  r sinθ = 10 in rectangular coordinates is y²  +   y⁴/x² - 100 = 0.

The rectangular coordinates is calculated from the polar equation as follows;

r sinθ = 10

the conversion from polar to rectangular coordinates;

r² = x² + y²

r = √(x² + y²) ----- (1)

y/x = tanθ  ------ (2)

r sinθ = 10

√(x² + y²)(y/x) = 10

(x² + y²)(y²/x²) = 100

y²  +   y⁴/x² = 100

y²  +   y⁴/x² - 100 = 0

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Answer:

2/35

Step-by-step explanation:

\(\frac{9}{35}-\frac{1}{5}=\frac{9}{35}-\frac{7}{35}=\frac{2}{35}\)

Answer:

6n+2

Step-by-step explanation:

Given the sequence:

Therefore, the first four terms are:

n = 1

n = 2

n = 3

n = 4

Answer: 5, 20, 80, 320

Answer:9.6$

Step-by-step explanation:

you do 8 x 1.20 wich is 9.6$

Use the property of similarity of triangles =》the corresponding sides of a triangle should be in the same ratio.

Take the missing side as 'x'.

The corresponding sides here are,

■ 7 & 14 ft

■ 5 & x ft

7/14 = 5/x

7x = 5 × 14 (cross multiplication)

7x = 70

x = 70/7

x = 10 ft

Height of the tree = 10 ft.

_____

Hope it helps ⚜

Answer:

Below

Step-by-step explanation:

A cube has SIX sides of equal area

  each side has area = L x W       and L and W are the same = 4.5 m

      so:   Area =   six   X   ( 4.5  X 4.5)  =   6 * 4.5 * 4.5 = 121.5 m^2

Answer:

Hope the picture will help you...

Answer:

66 pictures

Step-by-step explanation:

180 ÷ 3 = 60      60 x 2 = 120

120 = 2/3. He took 120 pictures on the first day of his vacation.

120 ÷ 4 = 30    30 x 1 = 30

30 = 1/4. He took 30 pictures of landscapes

120 ÷ 10 = 12     12 x 3 = 36

0.3 = 36. He took 36 pictures of people.

36 + 30 = 66 pictures.

He took 66 pictures of landscapes and people.

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Answer:

7/13

Step-by-step explanation:

Problem 2.

Using the unit circle as our guide,

Point A would be at 0 degrees

There are 12 points on the circle

Take 360 degrees and divide by 12

360/12 = 30

Each pie shaped wedge is 30 degrees

C is 2 pie pieces so it is 2*30 or 60 degrees from point A

H is 8 pie shapes wedges so it is 8*30 or 240 degrees from point A

Looking at the diagram we can see that A and G are the same distance from the ground

B and F are the same distance from the ground

C and E are the same distance from the ground

H and L are the same distance from the ground

I and K are the same distance from the ground

Answer:

114 m

Step-by-step explanation:

Given:

To find the discontinuity point:

As we know,

Any point at which a function fails to be continuous is called a discontinuity.

Set the denominator equal to zero.

We get,

Hence, the function is discontinued at points -2 and 2.

Thus, the answers are -2 and 2.

The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.

In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.

The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.

According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms

Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.

Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

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Given:

(3,5) is one solution which is given.

Required:

To get another solution.

Explanation:

We have given one solution which is equal to (3,5)

Answer:

58 members of the House of Representatives, and 28 members of the senate.

Step-by-step explanation:

We can find the answer to this by simply subtracting:

86 - 58 = 28

So, there are 58 members of the House of Representatives, and 28 members of the senate.

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By performing two experiments a lot of times, your brother will see that catching the coin mid-air does not affect the probability.

We assume that the probability of each outcome of the coin is equal, so the probability of getting tails is 0.5 and the probability of getting heads is 0.5

Then, you can say to your brother to perform his experiment a lot of times. In two ways.

First, he lets the coin came down to his hand around 100 times.

Then, he catches the coin in mid-air another 100 times.

He will see that the probability of getting heads (or tails) is (almost) the same in both cases, this will mean that his theory is false.

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Answer:

1.  Slope = 1

2. Slope = 3

3. Slope = -2

4. Slope = 2

Step-by-step explanation:

Okay so when we are finding the slope of two points we use the slope formula

\(slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}\)

Answer:

Step-by-step explanation:

The y-intercept exists where x = 0; plug in 0 for all the x's and solve the equation for y:

\(y=-7(0)^2-10(0)+3\) and

y = 3. The coordinate that represents this is (0, 3)

Answer: 20% of 90 = 18

Answer:

90%

Step-by-step explanation:

i hope this helps:)

Answer:

6

Step-by-step explanation:

.....................

Answer:

6

Step-by-step explanation:

pecentage calculator.what is 75 percent of 8?=6

The value of the given problem by using box method is 2546.

Multiplication computations involving numbers greater than ten can be simplified using the grid method, sometimes referred to as the box method, which is also known as the method of boxes. Making a table with the first factor's place values along the top and the second factor's place values down the left is how you multiply two numbers using the box approach. Place values are multiplied, and their products are added to the table. Clear up the table. In arithmetic, there is an alternative to the lengthy, error-prone classical multiplication approach: the box method. Multiplication of two or more digits is made easier with the use of the box approach.

X       60        7

30    1800    210

8       480      56

Therefore, 1800+480+210+56=2546

Therefore, the value of the given problem by using box method is 2546.

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Step-by-step explanation:

\(a = \pi {r}^{2} \\ a = \pi {5}^{2} = 78.5 \: {in}^{2} \)

Answer:

The area of this circle is 78.5

Step-by-step explanation:

The area of a circle can be calculated with the equation πr². r stands for "radius", the distance between the center of the circle to any point of its edge which also equals to half of a circles diameter. Since the diameter of this circle is 10 in., its radius is

\(r = d/2 = 10/2 = 5\\\)

Then, we use this to find the area

Area =\(\pi r^2=\pi (5)^2=25\pi=78.5\) (rounded to the first decimal place)

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

principal = $600

time (period) = 10 years

rate = 5.4% = 0.054

Step 02:

ordinary annuity:

FV = future value of ordinary annuity

p = 600

n = 10

i = 0.054

FV = 600 * 12.8152 = 7689.1378

The answer is:

FV = 7689.14

Answer:

320 x^6

Step-by-step explanation:

(5x^3)(4x)^3

5 x^3  * 4^3 * x*3

5x^3 *64x^3

320 x^6

Answer:

B

Step-by-step explanation:

= 5x^3  * 4^3 * x^3

= 5x^3 *64x^3

= 320x^6

Hope this helps!