Convert the following rectangular equation to polar form.Assume a>0 3x^2+3y^2-4x+2y=0

Answer:

I don't know what to look for

but area of sphere = 4πr²

4×π×12×12

576πmm³

volume of sphere= 4πr³

3

4/3π12×12

576/3π

= 192πmm³

As per the given variables, Victor jumped a total of 4 yards.

Total yards jumped = 6 feet high

Additional yards = 2

A yard is one linear yard. "Yd" is the yard symbol. The standard of measurement has always been derived from either a natural item or a portion of the human body, such as a foot, an arm's length, or the width of a hand.

Converting the initial jump of 6 feet to yards, as the additional distance given is also in yards.

There are 3 feet in a yard, therefore -

6 feet = 6/3  

= 2

Thus, Victor jumped 2 yards initially, and then 2 more yards as given in the problem.

Calculating, the total distance Victor jumped in yards -

= 2 + 2

= 4

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Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

Answer:

70-15=55 and then divide by 5= 11 so y is 11

Step-by-step explanation:

Answer:

5.625 = 45/8 = 5 5/8

Step-by-step explanation:

The total number of different ways in which the 10 swimmers can achieve 1st, 2nd, or 3rd place is 720 ways.

Given that:

There are one of ten people in a swimming race. Prizes are awarded to swimmers who finish in first, second, and third places only.

Let's assume that there is A to J swimmers counted as 10 in number.

Then A comes in first, or B comes in first, or ... or J comes in first. So, there are 10 possibilities that any swimmers can come in the first place.

For second place, it can't be the swimmers that arrived first, but it could be any of the remaining 9 swimmers.

For third place, it can't be the first or second swimmers but there are 8 others and one of them will be the third.

Using permutation we can find the total number of different ways in which the 10 swimmers can achieve 1st, 2nd, or 3rd place, because the order of places matters.

The permutation is considered an ordered combination. Objects are arranged from last to first in permutations. The general formula for this is:

P(n, r) = n! /(n-r)!

Therefore, the required number of ways is = 10 possible first swimmers x 9 possible 2nd swimmers x 8 possible third swimmers.

The required number of ways = 10 x 9 x 8 = 720 ways.

Hence, there are 720 ways swimmers can achieve 1st, 2nd, or 3rd place.

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The expression written in the simplest scientific notation is 6. 4 × 10^4

Scientific notation can be defined as a mathematical method of presenting numbers or figures too large or small in simpler forms.

It is also termed index form or standard form

From the information given, we have that;

Now, substitute the values

8 × 10² × 3. 2 × 10^5 / 4 × 10³

Using the rule of exponent, we have;

25. 6  × 10^2 + 5/ 4 × 10³

25. 6 × 10^7/ 4 × 10³

Divide the numbers, we have

6. 4

Take the inverse power of the denominator

6. 4 × 10^ 7 - 3

6. 4 × 10^4

Thus, the expression written in the simplest scientific notation is 6. 4 × 10^4

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Answer:

b . all of the other ones look the same and that one is the different one

Answer:

B

Step-by-step explanation:

A proportional relationship graph should be a straight line, no curves.

Answer:

wag po lagi umasa sa brainly

Answer:

4 5/8

Step-by-step explanation:

7 7/8= 63/8

3 1/4= 13/4= 26/8

63/8 - 26/8= 37/8

37/8= 4 5/8

Answer: choice A

Step-by-step explanation:

The graph represents a function because no two ordered pairs on this graph have the same first element(x-value).

No two ordered pairs on this graph have the same first element. is correct.

Option (B) is correct.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

The graph shows the different points discreate order.

For a set of ordered pairs to be a function, there must not be any two points that have the same first elements.

This means that, the x-coordinates must not repeat for any two given points.

The graph given represents a function because, no two ordered pairs on this graph have the same first element.

Hence , no two ordered pairs on this graph have the same first element. is correct.

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The translation direction is 5 units to the left.

To determine the translation direction and number of units, we can compare the original coordinates of point Q (Q(5, 4)) with the new coordinates of Q' after the translation (Q'(0, 4)).

By comparing the x-coordinates, we can see that the x-coordinate of Q' is smaller than the x-coordinate of Q, which means the triangle was translated to the left.

By comparing the y-coordinates, we can see that the y-coordinate of Q' is the same as the y-coordinate of Q, which means there was no vertical translation.

Therefore, the translation direction is 5 units to the left.

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Answer:

Each box is 15.99

Step-by-step explanation:

Just the divide the total cost by 6

Answer:

Equation : b = $95.94/6

the cost per box is $15.99.

Step-by-step explanation:

For the first question, we need to create an equation to determine the cost per box. Let us assign "b" to represent the cost per box and the solution is shown below:

b= $95.94/6

95.94 divided by 6 is 15.99.

Therefore, the cost per box is $15.99.

Answer:

c:65

Step-by-step explanation:

The area of a triangle can be found almost the same way as a sqaure L*W (Length times width). Except the area of a triangle is one half that of a square, so it is \(\frac{1}{2}\)L*W. The length is 13 and the width is 10, so 13*10=130, than 1/2 that is 65.

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

The single payment would be $ 2,909.18.

Since loan payments of $ 1725 due today, $ 510 due in 75 days and $ 655 due in 323 days are to be combined into a single payment in 115 days, to determine what is the single payment if money is worth 8.5% and focal date is 115 days the following calculation must be made, offsetting the days in advance with the days in which the payment is late:  

Therefore, the single payment would be $ 2,909.18.

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Answer:

Step-by-step explanation:

since loan payments of $1725 due today. $510 due in 75 days and $655 due in 323 days are to be combined into single payment in 115 days.

now,

First, we need to calculate the present value of each payment using the given interest rate and the focal date of 115 days from now.

formula

The formula to calculate the single payment due 115 days from now is:

Single Payment = (PV1 / (1 + r1*(t1/365))) + (PV2 / (1 + r2*(t2/365))) + (PV3 / (1 + r3*(t3/365))) / (1 + r4*(t4/365))

Where:

- PV1, PV2, and PV3 are the present values of the three payments due today, in 75 days, and in 323 days, respectively.

- r1, r2, and r3 are the interest rates for each payment period.

- t1, t2, and t3 are the time periods in days between the payment due date and the focal date of 115 days from now.

- r4 is the interest rate for the period between the focal date and the payment due date of the single payment.

- t4 is the time period in days between the focal date and the payment due date of the single payment.

The present value of the payment due today is:

PV1 = 1725 / (1 + 0.085*(115/365)) = $1666.27

The present value of the payment due in 75 days is:

PV2 = 510 / (1 + 0.085*(75/365)) = $496.16

The present value of the payment due in 323 days is:

PV3 = 655 / (1 + 0.085*(323/365)) = $585.92

Next, we add up the present values of the three payments to get the total present value:

PV = PV1 + PV2 + PV3 = $2748.35

Finally, we calculate the single payment due 115 days from now by discounting the total present value to the focal date of 115 days from now:

Single Payment = PV / (1 + 0.085*(115/365)) = $2909.18

Therefore, the single payment due 115 days from now is $2909.18.

(a) The sequence formed by the given numbers is: 40, 24, 56, 16, 36, 72, 8, 48, 32.

(b) The sum of the given arithmetic series is 324.

Based on the given table, we can observe the following pattern:

Using these patterns, we can fill in the missing entry in the second row as follows:

So, the completed table looks like this:

40 | 24 | 56 |

16 | 36 | 72 |

8 | 48 | 32 |

The sum of the series is calculated as;

S = n/2(a + l)

Using this formula, we can find the sum of the given arithmetic series. Since there are 9 terms in the series, and the first term is 40, and the last term is 32, we have:

S = 9/2 x (40 + 32)

S = 9/2 x 72

S = 324

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Answer:

Step-by-step explanation:

Its D,   1/10

There are 10 possibilities - count the boxes.

Only ONE is Blue and Heads.

So one out of ten.

1/10

The polynomial that represents the area of the shaded region is given as follows:

x² - 3x + 36.

The area of a rectangle is given by the multiplication of the width and the length of the triangle, as follows:

A = lw.

For the entire region, the area is given as follows:

A = (x + 1)(x + 1)

A = x² + 2x + 1.

The area of the white region is given as follows:

Aw = 5(x - 7)

Aw = 5x - 35.

Then the area of the shaded region is given as follows:

As = A - Aw

A = x² + 2x + 1 - (5x - 35)

A = x² + 2x + 1 - 5x + 35

A = x² - 3x + 36.

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Answer:

the volume of the square pyramid is 2430 cubic cm

Answer:

1296 cm³

Step-by-step explanation:

V = a² x [√s²- (a/2)²] / 3

a = 18 cm

s = 15 cm

V = 18² x [√15²-(18/2)²] / 3 = 18² x [√225-81] / 3

V = 324 x (√144/3) = 1296 cm³

Answer:

3(2x+2) = 6x + 6

Step-by-step explanation:

Those are algebra tiles, so it is saying (if you read across the top) 2x +2 then if you read down you have 3 units, so the dot means 2x + 2 multiplied by 3

If you write it in algebraic terms it is 3(2x+2) so the answer when you distribute is 3 (2x) + 3(2) so 6x + 6, and if you count the number of red rectangles you have 6 of them, hence the 6x, and if you cound the units in gray you have 6 of them, hence the 6.

Algebra tiles are used to demonstrate algebra concepts

The length and width of this rectangle are 40 yards and 5 yards, respectively.

Let the width of the rectangle be represented by 'w'. Since the length of the rectangle is eight times the width, we can represent the length as '8w'.

The perimeter of a rectangle is found by adding all four sides. In this case, we know the perimeter is 90yd, so we can set up an equation as follows:

\($$2w + 2(8w) = 90$$\)

Simplifying the equation, we get:

\($$2w + 16w = 90$$\)

\($$18w = 90$$$$w = 5$$\)

So the width of the rectangle is 5 yards.

To find the length of the rectangle, we can substitute the value of the width (5) into the equation we used to represent the length.

\($$8w = 8 \times 5 = 40$$\)

So the length of the rectangle is 40 yards.

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Answer:

To find the answer, we can use the formula:

number of won games / total number of games played = percentage won

Let x be the total number of games played. We know that the percentage won is 65%, or 0.65 as a decimal. So we can set up the equation:

number of won games / x = 0.65

To solve for x, we can cross-multiply:

number of won games = 0.65x

We want to find a whole number value for x that makes sense. One way to do this is to try each answer choice and see if it gives a whole number value for the number of won games. Let's start with choice A:

If the team played 22 games, then the number of won games is:

number of won games = 0.65 * 22 = 14.3

This is not a whole number value, so we can rule out choice A.

We can repeat this process for each answer choice. When we try choice C, we get:

number of won games = 0.65 * 18 = 11.7

This is also not a whole number value, so we can rule out choice C.

When we try choice D, we get:

number of won games = 0.65 * 14 = 9.1

This is also not a whole number value, so we can rule out choice D.

Therefore, the only remaining answer choice is B, which gives us:

number of won games = 0.65 * 20 = 13

This is a whole number value, so the team could have played 20 games in total last season.

Answer:

<HBE and <EBF adds up to 180 degrees.

Step-by-step explanation:

As you can see in the image, <HBE and <EBF shares the same line and has a common point.  

Answer:

C

Step-by-step explanation:

For example, if a is equal to 2.

\( \sqrt{2} {}^{2} = 2\)

The answer is still the given number a.

The solution of the expression √a² is,

⇒ a

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ √a²

Where, 'a' is nonnegative real number.

Now, We can simplify as;

⇒ √a²

⇒ √ a × a

⇒ a

Thus,  The solution of the expression √a² is,

⇒ a

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Answer:

If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.

To find the value of k, we can use the given values of y and x:

y = kx

24 = k(12)

k = 2

Now that we know k, we can use the equation to find the value of y when x=16:

y = kx

y = 2(16)

y = 32

Therefore, when x=16, y=32.

Answer:

-6

Step-by-step explanation:

-5+7=2

2-2=0

0-the remaining 6 of the 8=-6

Answer:

E. Acute

Step-by-step explanation:

Hope it helps

Answer:

  a) 10

  b) 7.5

  c) 8

  d) 75

Step-by-step explanation:

Pick's theorem tells you the area of a figure drawn on grid points is ...

  A = i +b/2 -1

where i is the number of interior grid points, b is the number of boundary grid points.

__

a) b = 12 (The verticals cross a grid point, but the diagonals don't. The number of boundary points is the number of vertices +2.)

  i = 5

  Area = 5 +12/2 -1 = 10 . . . square units

__

b) b = 5 (The horizontal crosses a grid point, but none of the diagonals do. The number of boundary points is the number of vertices +1.)

  i = 6

  Area = 6 +5/2 -1 = 7.5 . . . square units

__

c) b = 8 (The upper left diagonal crosses 2 grid points, so the number of boundary points is the number of vertices +2.)

  i = 5

  Area = 5 +8/2 -1 = 8 . . . square units

__

d) b = 3, i = 6

  Area = 6 +3/2 -1 = 7.5 . . . square units

_____

Additional comment

The first figure can be divided by vertical lines into 4 congruent trapezoids with bases 3 and 2. Then the area is (4)(1/2(3+2)(1) = 10.

The remaining figures can be considered as the area of the bounding box less the areas of triangles discarded when the figure is cut out. (No additional lines need be drawn.) The areas figured this way agree with the area values shown above. The area of a triangle is A=1/2bh, so is not difficult to figure mentally.