600000000*100000000000000000000000000000000000000000000

Answer:

IT'S (-3,2)! HAVE A NICE DAY

PLS BRAINLEST ME

The ordered pair of  (–3, 2) could be removed so that the set of ordered pairs is a function. The correct answer would be option (B).

The domain of a function includes all possible x values of a function, and the range includes all possible y values of a function.

Given:

A circle with the following points on it-

( -3, - 3), (- 3, 2), (1, 1), (2, - 2), (3, 4), (4, -2)

A function is similar to a mechanism in that it produces something for a particular, given input. The input to any two outputs cannot be the same.

The input to a function is called the domain of a given function. The output of a function is called its range.

The domain is represented by the 'x' coordinate and the range is represented by the 'y' coordinate.

So, the domain is the independent variable and range depends on the values of the domain.

Now, a relation of set of points represents a function only if all the 'x' coordinates of the set of ordered pairs are different.

Now, in the relation above, the ordered pairs ( -3, - 3) and (- 3, 2) have the same input. So removing either of the two will make the relation a function.

So, the correct option is (- 3, 2).

Hence, the ordered pair of  (–3, 2) could be removed so that the set of ordered pairs is a function

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Answer:

x = 58 degrees

Step-by-step explanation:

Using the SOH CAH TOA trigonometry identity

hypotenuse =99

adjacent = 52

angle of elevation  = x

cos theta = adj/hyp

cos x = 52/99

x = arccos (52/99)

x = arccos(0.5253)

x = 58 degrees ( to the nearest degree)

Answer:

\(\text{Distance in miles between the cars = 25 miles}\)

Step-by-step explanation:

We can solve this problem by treating the locations of the cars as points on a X-Y coordinate plane

Let the X axis represent the horizontal distances with direction East being positive and direction West being negative

Let Y represent the vertical distance with North being positive and South being negative

The initial position of both cars is (0, 0)

Car 1 travels 8 miles north so it's y coordinate becomes 0 + 8 = 8 and point coordinates become (0, 8)
It then travels 6 miles east which puts its x-coordinate at 0 + 6 = 6 with y-coordinate staying at 8
So position of car 1 is (6, 8)

Car 2 travels 12 miles south first so new y-coordinate = 0- 12 = -12
It then travels 9 miles west so new x-coordinate = 0 - 9 = -9

Position of car 2 is (-9, -12)

The distance between these two points, d is the distance between the cars

The distance between any two points (x1, y1) and (x2, y2) is given by the distance formula

\(d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}\)

If we let (x1, y1) represent the position of car 2 and (x2, y2) the position of car 1 then

\(d = \sqrt {(6 - (-9))^2 + (8 - (-12))^2}\\\\d = \sqrt {(15)^2 + (20)^2}\\\\d = \sqrt {{225} + {400}}\\\\d = \sqrt {625}\\\\d = 25\)

So the distance between the two cars = 25 miles

See attached image for a visual rendering

If a rectangular prism has a length of 2 meters, a width of 4 meters, and a height of 2 meters. The volume of the prism is 16 cubic meters.

The volume of a rectangular prism is given by the formula:

Volume = length x width x height

Substituting the given values, we get:

Volume = 2 meters x 4 meters x 2 meters

Simplifying this expression, we get:

Volume = 16 cubic meters

Therefore, the volume of the prism is 16 cubic meters.

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Answer: We have f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16

                        (f-g)(x)= 3x⁵-2x⁴-x²+x-21

Step-by-step explanation:

Here we have,

Given : f(x)=3x⁵+6x²-5 and g(x)= 2x⁴+7x²-x+16

We know,

(f-g)(x)= f(x)-g(x)

= (3x⁵+6x²-5 ) - ( 2x⁴+7x²-x+16)

On subtracting g(x) from f(x) we get,

(f-g)(x)= (3x⁵+6x²-5  - 2x⁴-7x²+x-16)

On simplify,

 (f-g)(x) =3x⁵-2x⁴-x²+x-21

Hence,

(f-g)(x) = f(x) - g(x) = 3x⁵-2x⁴-x²+x-21

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There were 124 students in West County's sample.We can use the margin of error formula to determine the sample size:

Margin of error = z*(standard deviation / sqrt(sample size))

where z is the z-score for the desired level of confidence. For a 95% confidence interval, z = 1.96.We are given that the mean of West County's sample was 79 with a margin of error of plus or minus 1.9. Therefore, we can set up the equation:

1.9 = 1.96*(12 / sqrt(n))

where n is the sample size we want to find.

Solving for n, we get:

n = (1.96*12/1.9)^2 ≈ 124

Therefore, to the nearest whole number, there were 124 students in West County's sample.

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The correct sample space for the gumballs in Julia's bag is {lemon-lime, watermelon, watermelon, grape, grape, grape} which makes option D correct.

The sample space for the gumballs in Julia's bag would be all the possible outcomes of selecting one gumball from the bag without replacement.

Since there are 1 lemon-lime, 2 watermelon, and 3 grape gumballs in the bag, the sample space would be expressed as:

sample space = {lemon-lime, watermelon, watermelon, grape, grape, grape}.

Therefore,we have 6 total outcomes in the sample space for the gumballs in Julia's bag.

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Answer:

x = 9

Step-by-step explanation:

 \(x- 15 = -6\\\\\)

Add 15 to both sides to isolate the x.

\(x -15 +15 = -6 +15\\x = 9\)

Answer:

X=9

Step-by-step explanation:

You must add 15 to both sides of the equal sign to cancel out the (-15). You add -6+15 which equals 9.

Answer:

Each tray contains 17 cookies

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP

Answer:

19.048%

Step-by-step explanation:

The formula for the increase in cost will be :

[(New cost - Original Cost)÷Original Cost] × 100

So let's substitute values in from the question :

[(50-42)÷42] × 100

[8÷42] × 100

0.19048 × 100

19.048%

Hope this helped and have a good day

Answer: a=101 b=79 c=83 d=97

Answer: a= 187.5 m squared

Step-by-step explanation: a=ab/2

Answer:

187.5

Step-by-step explanation:

times 25 and 15 = 375

375 divided by 2 = 187.5

Answer:

loyalty...........................

The total value of the loan with quarterly compounded interest is approximately $45,288.38, while the total value of the loan with monthly compounded interest is approximately $45,634.84. The difference in total interest accrued is approximately $346.46.

Part A: To determine the total value of the loan with quarterly compounded interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt),

where:

A is the total value of the loan,

P is the principal amount (initial loan amount),

r is the interest rate (in decimal form),

n is the number of times interest is compounded per year,

and t is the number of years.

Given:

P = $20,000,

r = 9% or 0.09,

n = 4 (quarterly compounding),

t = 10 years.

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/4)^(4*10).

Calculating this value, we find:

A ≈ $45,288.38.

Therefore, the total value of the loan with quarterly compounded interest is approximately $45,288.38.

Part B: To determine the total value of the loan with monthly compounded interest, we follow the same formula but with a different value for n:

n = 12 (monthly compounding).

Substituting the values into the formula, we have:

A = 20000(1 + 0.09/12)^(12*10).

Calculating this value, we find:

A ≈ $45,634.84.

Therefore, the total value of the loan with monthly compounded interest is approximately $45,634.84.

Part C: The difference between the total interest accrued on each loan can be calculated by subtracting the principal amount from the total value of each loan.

For the loan with quarterly compounding:

Total interest = Total value - Principal

Total interest = $45,288.38 - $20,000

Total interest ≈ $25,288.38.

For the loan with monthly compounding:

Total interest = Total value - Principal

Total interest = $45,634.84 - $20,000

Total interest ≈ $25,634.84.

The difference between the total interest accrued on each loan is approximately $346.46.

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Answer:

2*9=18

Step-by-step explanation:

if there is 9 players on each of the 2 teams there would be 18 players in total

The relationship between the length & the width of the closet and the length of the wall is an illustration of a linear equation.

Given that:

\(l = 2w\)

Divide both sides by 2

\(w = 0.5l\)

Equation of f(l)

The sum of the length and the width is represented as: f(l).

So, we have:

\(f(l) = l + w\)

Substitute \(w = 0.5l\)

\(f(l) = l + 0.5l\)

\(f(l) = 1.5l\)

See attachment for the graph of f(l)

The desired dimension

From the question, we understand that the total length is 12m.

This means that:

\(f(l) = 12\)

So, we have:

\(1.5l = 12\)

Divide both sides by 1.5

\(l = 8\)

Recall that:

\(w = 0.5l\)

\(w = 0.5 \times 8\)

\(w = 4\)

Hence, the desired length and width are 8m and 4m, respectively.

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The total volume is the one in option C, 708 cubic centimeters.

We know that this prism can be divided into two prisms, and remember that the volume of a prism is equal to the product between its dimensions.

Then the volume of the first prism is:

V = 8cm*6cm*13cm = 624 cm³

And the volume of the second prism is:

v' = 3cm*4cm*7cm = 84 cm³

Adding that we will get:

total volume =  624 cm³+  84 cm³ = 708 cm³

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The  equation of the parabola with the following properties y = (-1/4)(x+3)^2 -1

To find the equation of a parabola, we can use the formula f(x) = ax^2 + bx + c, where a, b and c are congruent vertices.

Alternatively, we can use PF = PM to find the equation of the parabola.

vertex is half way between the focus and directrix

It's a downward opening parabola, general form

y= a(x-h)^2 + k

where (h,k) = vertex= (-3,-1)

plug in another point on the parabola to solve for a which gives

am answer with either x coefficient = -1'/4 or =4 Check the math.

one or the other is right another point is the y intercept = 9a-1

Another point is directly to the right of the focus  (-1, -2)  It's 2 down from the directrix and 2 to the right of the focus, equidistant.   plug that point into y= a(x+3)^2 -1 and solve for "a"  

-2 = a((-1+3)^2 -1

-2 = 4a -1

4a = -

a = -1/4

The parabola is y = (-1/4)(x+3)^2 -1

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The angle m∠JIX is 90 degrees.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.

IG bisect CIJ. Hence,

m∠CIG ≅ m∠GIJ

Therefore,

m∠CIX = 150 degrees

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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The measure of angle m∠JIX is  estimated to be 90⁰.

You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.

IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.

Frim the given parameters,

IG⊥CIJ.

But;  m∠CIG ≅ m∠GIJ

⇒ m∠CIX = 150⁰

Hence, let's find m∠JIX.

Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.

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As the triangles are similar to each other, using congruent theorem, we get the value of side JK = 63.8.

Comparable triangles are those that resemble one another but may not be precisely the same size. Comparable items are those that share the same shape but differ in size.

This shows that when shapes are amplified or demagnified, they superimpose one another. This feature of similar shapes is often known as "similarity".

As per the triangles,

Let JK be = x.

GF/GH = JI/JK

⇒ 11/18 = 36 /x

⇒ x = 36 × 18/11

⇒ x = 63.8.

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The radius of the large circle would just be the diameter of one of the smaller circles, so 14 inches.

In order to solve this, we will need to find the area of the large circle and subtract the area of two smaller circles.

I'll be using pi as 3.14 for this.

Large Circle:

\(A = \pi r^{2}\\A = \pi (14)^{2}\\A = 196\pi \\A = 615.44\)

Smaller Circle:

\(A = \pi r^{2}\\A = \pi (7)^{2}\\A = 49\pi \\A = 153.86\)

Now we just simply subtract them.

615.44 - (2 * 153.86)

= 307.72 inches

You might've noticed that is exactly half of the area of the larger circle.

That's because if you halve the radius of a circle, you will get one fourth of original area.

(a) The mean of the relevant distribution is 2.4 defective pistons.

(b) The standard deviation of the distribution is 1.539.

The mean of the relevant distribution is the expected number of defective pistons that we would expect to get from a sample of 80 pistons produced by this machine. The mean is calculated by multiplying the probability of a defective piston (3%) with the number of pistons in the sample (80). In this case, the mean is 2.4 defective pistons. The standard deviation of the distribution quantifies the uncertainty of our estimate. It is calculated by taking the square root of the variance, which is the expected value of the squared differences between the number of defective pistons in the sample and the mean. In this case, the standard deviation is 1.539. This means that, in theory, we would expect 68% of the samples to contain between 0.861 and 4.139 defective pistons.

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In the given parallelogram ABCD the values for variables are - g = 6, y = 5 and x = 4.

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

We know that in a parallelogram, opposite sides are congruent and parallel, and diagonals bisect each other.

Using this information, we can set up equations to solve for the variables.

From the given information, we have -

AE = CE = 2x - 5 = 5x - 17 (since diagonals bisect each other at point E)

BE = x + 2

DE = BE = (x + 2) = g (since diagonals bisect each other at point E)

We also know that opposite sides of a parallelogram are parallel.

Therefore, 10 is parallel to 2y, which means they have the same slope. We can write this as -

10/1 = 2y/1

10 = 2y

y = 5

Now we can use equation (1) to solve for x -

2x - 5 = 5x - 17

12 = 3x

x = 4

Finally, we can use x to solve for g -

(x + 2) = g

(4 + 2) = g

g = 6

Therefore, the values of x, y, and g are 4, 5, and 6, respectively.

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Answer:.

Step-by-step explanation im not sure

Answer:

Step-by-step explanation:

47.)  sin20 = 6/b

b = 6(sin20) = 17.5

c = √6²+17.5² = 18.5

48.)  tan61 = y/18

y = 18(tan61) = 32.5

z = √18²+32.5² = 37.1

49.)  r = √25²+23² = 34

50).  d = √30²+7² = 30.8

51.)  sin71 = j/19

j = 19(sin71) = 18

k = √19²-18² = 6.2

52.)  y = √4²-1² = √7 = 2.6

53.)  sin49 = f/26

f = 26(sin49) = 19.6

h = √26²-19.6² = 17

54.)  t = √7²+4² = 8.1

Answer:

C. all possible input values of the function

Step-by-step explanation:

Answer:

C is right

Step-by-step explanation:

domain is f(x)=x^2 is all real numbers but domain g(x)=1/x is all real numbers except for 0 which is x but domains and the rang can be the same also

Answer:

Total 17 high rate filters are required

Step-by-step explanation:

Given -

Rate of filtration of slow sand filters = 10 million gallons/acre-day

Total million gallons of water filtered per day = 10 million gallons/acre-day * 15 acres

= 150 Million gallons per day

Rate of filtration of high rate filters = 6 gpm/ft2

Area of one high rate filter = 1,000 ft2

Volume of water filtered by 1 high rate filter is 6 gpm/ft2 *1,000 ft2 = 6000 gallons per minute  = 8640000 gallon per day

Number of filters required = 150 million gallons per day /8640000 gallon per day

150 * 10^6/8640000

17

Total 17 high rate filters are required

Answer:

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Number of components assembled by the new employee per day,

N(t) = \(\frac{50t}{t+4}\)

Number of components assembled by the experienced employee per day,

E(t) = \(\frac{70t}{t+3}\)

Difference in number of components assembled per day by experienced ane new employee

D(t)= E(t) - N(t)

D(t) = \(\frac{70t}{t+3}-\frac{50t}{t+4}\)

      = \(\frac{70t(t+4)-50t(t+3)}{(t+3)(t+4)}\)

      = \(\frac{70t^2+280t-50t^2-150t}{(t+3)(t+4)}\)

      = \(\frac{20t^2+130t}{(t+3)(t+4)}\)

      = \(\frac{10t(2t+13)}{(t+4)(t+3)}\)

Therefore, Option A will be the answer.

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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To seat all 58 children in the hall for the concert, 10 rows are needed.

1. Determine the number of children per row: Since there are 6 seats in a row, each row can accommodate 6 children.

2. Divide the total number of children by the number of children per row: Divide 58 (the total number of children) by 6 (the number of children per row).

  58 ÷ 6 = 9 with a remainder of 4

  This means that 9 full rows can be formed, and there will be 4 children left after the last full row.

3. Check if there are any remaining children: Since there are 4 children remaining, they cannot form a complete row by themselves.

4. Calculate the number of rows needed: Add 1 to the number of full rows to account for the remaining children.

  9 full rows + 1 row for the remaining children = 10 rows in total.

Therefore, to seat all 58 children in the hall for the concert, 10 rows are needed.

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