8
At a party there are 90 people.
48 are women and 42 are men.
Some women leave.
Some men arrive.
The ratio of women to men is now
10:11
Are there now more than 90 people at the party?
Tick one box.
Yes
No
Show working to support your answer.
Cannot tell
[2 marks

Answer:

66

Step-by-step explanation:

4 + 8 = 12

12 + 13 = 25

25 + 18 = 43

As the pattern can, be seen the addend is increasing by 5 from the previous addend. So, the next number will be the sum of 43 and the next addend 23.

=> 43 + 23 = 66

BRAINLIEST?

YEP, PRETTY MUCH.

Answer:

The next number ; 66

Step-by-step explanation:

Between; 4 and 12 = 8

Between; 12 and 25 = 13

Between; 25 and 43 = 18

So; Between 8 and 13 =5

and Between 13 and 18 = 5

So; 18 + 5 = 23

So; Between 43 and (Next number) = 23

So; 43 + 23 = 66

The next number= 66

Answer:

add a picture so i can see and help

Step-by-step explanation:

Answer:

your questions is completing

If you received a gift of $10,000 3 years ago and you want to spend it in 3 years with interest rate is 4%, it will be worth $12,653.19. Option b is correct.

To calculate the future value of a present sum after a specified period, we can use the formula for compound interest:

Future Value = Present Value * (1 + Interest Rate)ᴺ

In this case, the present value is $10,000, the interest rate is 4% or 0.04, and the number of periods is 6 years because you received the gift 3 years ago and want to spend it in 3 years.

Using the formula:

Future Value = \(\$10,000 * (1 + 0.04)^6\)

Future Value = \(\$10,000 * (1.04)^6\)

Future Value = $10,000 * 1.1265319

Future Value ≈ $12,653.19

Therefore, the amount will be approximately $12,653.19. Option b is correct.

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k = 7x² + max is the value of k = qx²+ max when  q=7 and r= 12

s=5 in the equation  s= 3(t+u)/t-u, when t= 2.8 and u=0.7

p=9, in equation P = √b-a, when b=85 and a =4

To calculate the value of k = qx²+ max, we need to substitute the given values of q and r into the formula.

Given, q = 7 and r = 12

Substituting these values into the formula, we have:

k = 7x² + max

(b) To calculate the value of s = 3(t + u) / (t - u).

we need to substitute the given values of t and u into the formula.

Given, t = 2.8 and u = 0.7

Substituting these values into the formula, we have:

s = 3(2.8 + 0.7) / (2.8 - 0.7)

First, we simplify the numerator:

s = 3(3.5) / (2.8 - 0.7)

s = 10.5 / 2.1

s = 5

Therefore, the value of s is 5.

(c) To calculate the value of P = √(b - a):

we need to substitute the given values of b and a into the formula.

Given: b = 85 and a = 4

Substituting these values into the formula, we have:

P = √(85 - 4)

P = √81

P = 9

Therefore, the value of P is 9.

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Answer:

Step-by-step explanation:

4x + 2(-2X +1) = -2

Order of operations -

4x + -4x +2 = -2

Combine terms

4x-4x=0x

2 = -2

Answer:

no solution

Step-by-step explanation:

y = - 2x + 1 → (1)

4x + 2y = - 2 → (2)

substitute y = - 2x + 1 into (2)

4x + 2(- 2x + 1) = - 2 ← distribute parenthesis and simplify left side

4x - 4x + 2 = - 2 ( subtract 2 from both sides )

0 = - 4 ← not possible

this indicates the system of equations has no solution

(a) The distance fallen with the chute open is 2.25 meters. (b) The total time in the air is 1.5 seconds. (c) The average velocity for the entire trip is -1.5 m/s.

To solve this problem, we can use the equations of motion for the two phases of the parachutist's motion: free fall and parachute descent. Let's break down the problem into parts:

(a) Distance fallen with the chute open (H):

In this phase, the parachutist is decelerating with an acceleration of magnitude 2.0 m/s². We need to find the distance H.

We can use the kinematic equation:

\(v^2 = u^2 + 2as\)

where:

v = final velocity = 3.0 m/s (magnitude)

u = initial velocity = 0 m/s

a = acceleration = -2.0 m/s^2 (negative because it opposes the motion)

s = distance

Rearranging the equation:

\(s = (v^2 - u^2) / (2a)\)

\(s = (3.0^2 - 0^2) / (2 * -2.0)\)

s = 9.0 / -4.0

s = -2.25 m

The distance fallen with the chute open (H) is 2.25 m.

(b) Total time in the air

To find the total time in the air, we need to calculate the time for each phase separately and then add them.

For the free fall phase:

Using the equation v = u + at, where:

v = final velocity = 0 m/s

u = initial velocity = 0 m/s

a = acceleration due to gravity = 9.8 m/s^2 (magnitude)

t = time

0 = 0 + 9.8t

t = 0 s

The time for free fall is 0 seconds.

For the parachute descent phase:

Using the equation v = u + at, where:

v = final velocity = 3.0 m/s (magnitude)

u = initial velocity = 0 m/s

a = acceleration = -2.0 m/s^2 (negative because it opposes the motion)

t = time

3.0 = 0 + (-2.0)t

t = 3.0 / (-2.0)

t = -1.5 s

The time for the parachute descent is 1.5 seconds.

The total time in the air is 0 seconds (free fall) + 1.5 seconds (parachute descent) = 1.5 seconds.

(c) Average velocity for the entire trip:

The average velocity is given by the total displacement divided by the total time.

Total displacement = Distance fallen with the chute open (H) = -2.25 m (negative because it is downward)

Total time = 1.5 seconds

Average velocity = Total displacement / Total time

Average velocity = -2.25 m / 1.5 s

Average velocity = -1.5 m/s

The average velocity for the entire trip is -1.5 m/s.

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The arc length of the curve defined by the vector-valued function r(t) = ⟨cos³(At)⋅sin³(At)⟩, where 0 ≤ t ≤ π/(2A), can be found using the formula for arc length. The result is given by L = ∫√(r'(t)⋅r'(t)) dt, where r'(t) is the derivative of r(t) with respect to t.

To find the arc length of the curve, we start by calculating the derivative of r(t). Let's denote the derivative as r'(t). Taking the derivative of each component of r(t), we have r'(t) = ⟨-3Acos²(At)sin³(At), 3Asin²(At)cos³(At)⟩.

Next, we need to compute the dot product of r'(t) with itself, which is r'(t)⋅r'(t). Simplifying the dot product expression, we get r'(t)⋅r'(t) = (-3Acos²(At)sin³(At))^2 + (3Asin²(At)cos³(At))^2. Expanding and combining terms, we have r'(t)⋅r'(t) = 9A²cos⁴(At)sin⁶(At) + 9A²sin⁴(At)cos⁶(At).

Now, we can integrate the square root of r'(t)⋅r'(t) over the given interval 0 ≤ t ≤ π/(2A). The integral is represented as L = ∫√(r'(t)⋅r'(t)) dt. Substituting the expression for r'(t)⋅r'(t), we have L = ∫√(9A²cos⁴(At)sin⁶(At) + 9A²sin⁴(At)cos⁶(At)) dt.

Solving this integral will yield the arc length of the curve defined by r(t).

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Answer: 4.12

Step-by-step explanation: 4.12 x 4.12=17

Answer:

4.123

Step-by-step explanation:

Have a great day

Answer:

4: 50.75

3: 43.2

2: 193

7: y= 5/2, or 2.5 or 2 1/2

Step-by-step explanation:

Answer:

  dilation is by a factor of 2 about the origin

Step-by-step explanation:

You want the dilation factor that gets from parallelogram ABCD to A'B'C'D'.

When dilation is about the origin, every coordinate is multiplied by the dilation factor. For example, A(-3, 3) goes to A'(-6, 6) by having its coordinates multiplied by -6/-3 = 2.

The dilation factor is 2.

__

Additional comment

You can also see this by the fact that segment C'D' is on the line y=-2, whereas segment CD is on the line y = -1. That may be the easiest way to tell the dilation factor is 2/1 = 2.

The figure doesn't really lend itself to reading the coordinate values of points at some distance from the origin.

One possible rule is (x, y) ⇒ (2x, 2y). Another might be D(origin, 2). The specifics depend on the format your curriculum author prefers.

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The total number of games the team played last year was 80 (option C). In the first half of the year, the team won 60 percent of their games, indicating that they won 6 out of every 10 games played.

In the second half of the year, the team played 20 games and won 3 of them. This means that in the second half, they won only 3 out of 20 games, which is equivalent to winning 15 percent of their games.

To find the overall percentage of games won, we can calculate the weighted average of the two percentages. Since the team won 50 percent of their games overall, we can assign equal weights to the first and second halves of the year. Therefore, the average winning percentage for the team would be the midpoint between 60 percent and 15 percent, which is (60% + 15%) / 2 = 37.5%.

Let's assume the total number of games played last year was x. Since the team won 37.5% of the games, they won 0.375x games. We can set up an equation based on the information given:

0.375x = 50% of x

0.375x = 0.5x

0.5x - 0.375x = 0

0.125x = 0

x = 0 / 0.125

x = 0

However, we have arrived at an invalid result. It seems there is an error in the information provided or the calculations made.

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Answer: He had 48.75 oz of salsa.

Step-by-step explanation:

I guess that Clay is filling 6.5 oz bottles of salsa.

And we know that he was able to fill 7.5 of these bottles, then if each bottle has 6.5 oz, 7.5 of them have a total mass of salsa will be equal to 7.5 times 6.5 ounces, this is:

M = 7.5*6.5 oz = 48.75 oz

This means that Clay had 48.75 ounces of Salsa

A drawn model to show this is seen below.

Each big square represents 0.5 oz, and the area black delimited area represents a total amount of 6.5 oz, we have 7 of them, then you can draw that 7 times, and count the squares, and then you will find the total ounces of salsa that Clay had, which is equivalent to the multiplication we did above.

The slope of the line is positive. The slope of a line is the ratio of the change in y-values to the change in x-values between any two points on the line.

In this case, we can see that the line passes through three points: (-6,-3), (0,0), and (6,3). The change in y-values between (-6,-3) and (0,0) is 3, and the change in x-values is 6, so the slope between those two points is 3/6 or 1/2. The change in y-values between (0,0) and (6,3) is 3, and the change in x-values is also 6, so the slope between those two points is 3/6 or 1/2. Since the slope is the same between any two points on the line, we know that the slope of the line is constant and equal to 1/2. Since 1/2 is a positive number, we can conclude that the statement "the slope of the line is positive" is true.

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Answer:

Step-by-step explanation:

1

8

−

3

6

+

4

0

The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

According to the statement

we have given that Vertex

(h,k) = (500, 15900)

And One of the points on the graph

(x,y) = (0,8400)

FIRST PART: we have to find the quadratic function

We can find the quadratic function by parabola's equation formula

y = a (x - h)² + k  -(1)

Input the numbers to the formula, to find the value of a

y = a (x - h)² + k

8400 = a(0 - 500)² + 15900

8400 = a (500)² + 15900

8400 = 250000a + 15900

-250000a = 15900 - 8400

-250000a = 7500

a = 7500/-250000

a = 0.03

Now,

Submit a to the formula (1)

y = a (x - h)² + k

y = 0.03 (x - 500)² + 15900

this is the quadratic equation.

SECOND PART: Find the linear function

the total cost = cost each helmet × the number of helmet

y = 26x

So,

The option B is a correct option which is y = 26x and y = -0.030(x-500)2 15,900 represent the quadratic and linear function.

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Disclaimer: This question was incomplete. Please find the full content below.

Question: A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a y-intercept of 8,400 and a vertex of (500, 15900)

x= number of helmets

y = amount in dollars

Which system models this situation?

a) y = 26x and y = 8,400(x-500)2+15,900

b) y = 26x and y = -0.030(x-500)2+15,900

c) y = x/26 and y = -0.030(x-500)2+15,900

d) y = x/26 and y =8,400(x-500)2+15,900

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Answer:

B. y = 26x and y = -0.030(x-500)2+15,900

Step-by-step explanation:

The median (the value 33.5). Finally, we add "whiskers" extending from the box to the minimum value (4) and the maximum value (110).

Q1 is 30, Q3 is 52.5, and the IQR is the difference between them (22.5). We draw a line segment inside the box at the median (the value 33.5). Finally, we add "whiskers" extending from the box to the minimum value (4) and the maximum value (110).

For this data, the lower fence is -6.75, and the upper fence is 89.25. None of the values from the list (-2.1, -10, 6.3, 3, 48, 87, 99) lie outside these fences. Hence, there are no outliers within the 5-number summary or in the given list of values.

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The employee's yearly salary is calculated as $37,440 using the arithmetic operations.  

The employee earns $18 per hour and works 40 hours per week. To calculate the weekly salary, we multiply the hourly wage by the number of hours worked:

Weekly salary = Hourly wage × Hours worked per week

Weekly salary = $18/hour × 40 hours/week = $720

Next, to calculate the yearly salary, we use the multiplication operation the weekly salary by the number of weeks in a year:

Yearly salary = Weekly salary × Weeks in a year

Yearly salary = $720/week × 52 weeks/year = $37,440

Therefore, the employee's yearly salary is $37,440. This calculation assumes a 40-hour work week and 52 weeks in a year. It's important to note that this calculation does not account for overtime pay or any other additional benefits or deductions that may affect the employee's total annual income.

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By getting the exponential decay that models the situation, we will see that after 8 weeks she uses 0.12 cups.

We know that the first week, she uses 2 cups of sugar, and each week she uses removes one-third of what she used the previous week.

Then the second week she uses:

S₂ = 2 cups - (1/3)*(2 cups) = 2 cups*(1 - 1/3) = 2 cups*(2/3)

The third week she uses:

S₃ = 2 cups*(2/3) - (1/3)*2 cups*(2/3) = 2 cups*(2/3)^2

You already can see the pattern, at week x, she will use:

Sₓ = (2 cups)*(2/3)^(x - 1)

This is an exponential decay.

To get how much sugar does she uses after 8 weeks, we just replace x by 8 in the above equation:

S₈ = (2 units)*(2/3)^(8 - 1) = 0.12 cups of sugar.

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The diagonal of the screen is 43.6 cm.

A line segment connecting the rectangle's two opposed vertices is known as the diagonal. The rectangle is split into two identical right triangles by its diagonal.  

The formula used to calculate the length of the diagonal of a rectangle is given by   d = √( length² + width²)

Here we have

A television screen measures are

Width = 35 cm and High = 26 cm

The Television screen will be in a Rectangle shape

As we know Diagonal of a rectangle = √[width²+ Length²]  

=> Diagonal of screen = √[width²+ high²]  

= √[35²+ 26²]  

= √[1225+ 676]  

= √[1901]  

=  43.6

Therefore,

The diagonal of the screen is 43.6 cm.

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The given parametric equations are given below:v = t² + 3 y = ln(t² + 3) z = tWe have to find the parametric equations for the tangent line to the curve with the given parametric equations at the specified point (2, ln 4, 1).

Explanation:Let (x₀, y₀, z₀) = (2, ln 4, 1) be the specified point.To find the tangent line, we need to find a point and a vector. We already have the point, we can find the vector by taking the derivative of each component of the vector function:(v, y, z) = (t² + 3, ln(t² + 3), t)Differentiating each component we get:(v', y', z') = (2t, (2t / (t² + 3)), 1)Now evaluating the derivatives at t = 2, we get:(v'(2), y'(2), z'(2)) = (4, 4 / 7, 1)Thus the tangent vector is (4, 4 / 7, 1).We can write the equation for the line in vector form as:r = r₀ + t vwhere r₀ is the initial position vector (2, ln 4, 1), v is the direction vector (4, 4 / 7, 1), and t is a parameter.We can write the parametric equation of the line as:(x, y, z) = (2, ln 4, 1) + t(4, 4 / 7, 1)

Multiplying the vector (4, 4 / 7, 1) by t and adding it to the point (2, ln 4, 1), we get the following equation:(x, y, z) = (2 + 4t, ln 4 + (4 / 7)t, 1 + t)The above equation gives the required parametric equations for the tangent line to the curve at the specified point.

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Answer:

Sam needs 24 pieces, he will have about 91/100 of a piece of wood left.

Theresa needs 47 pieces, she will have about 82/100 of a piece of wood left.

Step-by-step explanation:

254/11=23.09

254*2=508

508/11=46.18

Answer:

4:6

or 4/15 : 2/5

Step-by-step explanation:

The required possible lengths of the parking lot is 300.

The  perimeter of a shape is characterized as the complete length of its limit. The border of a not entirely set in stone by adding the length of the relative multitude of sides and edges encasing the shape.

The area of a shape is the "space encased inside the border or the limit" of the given shape. We compute the region for various shapes utilizing math equations.

Perimeter = 520 feet, area = 12000 feet

We know that,

Perimeter = 2(L + B)

2(L + B) = 520

(L + B) = 260--------(1)

And

Area = L×B = 12000

From equation(1),we get

L(L - 260) = 12000

L^2 - 260L = 12000

L^2 - 260L - 12000 = 0

On solving above quadratic equation

L = 300 or L = -40

Thus, possible value of length is 300.

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Answer: The answer is 49.32

Step-by-step explanation:

Answer:

the length of the other leg is 4sqrt(24) yards. This can also be simplified as 8sqrt(6) yards.

Step-by-step explanation:

Let's use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the legs (the other two sides).

In this problem, one leg has a length of 13 yards, and the hypotenuse has a length of 23 yards. Let's call the length of the other leg x.

Using the Pythagorean theorem, we get:

23^2 = 13^2 + x^2

Simplifying and solving for x, we get:

x^2 = 23^2 - 13^2

x^2 = 384

x = sqrt(384)

x = sqrt(16 * 24)

x = 4sqrt(24)

Therefore, the length of the other leg is 4sqrt(24) yards. This can also be simplified as 8sqrt(6) yards.

Input each points. (x,y) for each equation to find out if the system of equations are equivalent.

Point (-3,4) is a solution of this system of equations.

Point (-2,-6) isn't a solution of this system of equations.

Point (-4,3) is a solution of this system of equations.

Answer:

286

Step-by-step explanation:

11

26

_________

 066 (multiplying 6 and 1 up and diagonal)

 220 (adding a zero at the end since we are starting a new line) (same step                                

          as above to get 2 and 2)

+__________

286 (just adding the two numbers together)

Answer:

A. All the colors in the rainbow.

Step-by-step explanation:

I think.

Answer:

B. (w)(y)

Step-by-step explanation:

(w)(y)

= 2 * √8 * 3 * √2

= 2 * √(2*2*2) * 3 *√2

= 2 * √2 * √2 * √2 * 3 * √2

= (2*3) * (√2 * √2) * (√2 * √2)

= 6 * 2 * 2

= 24