Decide whether each of these sets of data is discrete or continuous.
a)
The weights of jars of jam
b)
The weight of the strawberries used to make some jam
c)
The number of strawberries used to make some jam
d) The number of jars of jam produced

Answer: 5/3

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.

Answer:

(4,8)

Step-by-step explanation:

First, Let us see the midpoint formula:

m(x,x /2, y,y/2) (That probably looks really confusing online)

Let us label our cords

A: (1x,5y)

B: (7x,11y)

Now, Add the x's together

7x + 1 = 8

8÷2 = 4

Now, Add the y together

11 + 5 = 16

16÷2 = 8

(4,8)

In the first few steps for deriving the quadratic formula left side of the equation due to the distributive property for balancing the equation.

A quadratic equation is the equation in which the highest power of the variable is two.

Here, The first few steps in deriving the quadratic formula are shown in the table.

Use the substitution property of equality to solve it further,

-c=-ax² +bx

Now factor out the term a, to solve further as,

    - c = a (x² + b/a x)

for half of the b value and square it to determine the constant of the perfect square trinomial as,

     (b/2a)² = b²/4a²

Now  the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

  -c + b²/4a² = a(x² + b/a x + b²/4a² )

Thus, the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.

Learn more about Quadratic equation from:

https://brainly.com/question/14336752

#SPJ1

Answer:

0.16666666666

Step-by-step explanation:

Or .166 with a repeating line over the 6's

Answer:

0.166....

Step-by-step explanation:

0.166 repeating

The equation y - 4 = -2(x - 1) in slope-intercept form include the following: C. y = -2x - 2.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

By making the variable "y" the subject of formula, we have the following:

y - 4 = -2(x - 1)

y = -2x + 2 - 4

y = -2x - 2

Therefore, the slope (m) is equal to -2.

Read more on slope here: brainly.com/question/23086745

#SPJ1

The graph that represents the situation is attached .

We have six people ride a bus to get to work. The table shows their travel times and distance.

travel time     distance

0.5                   4

1.5                   12

2.0                  16

2.5                  20

3.0                  26

3.5                  32

The travel time is plotted along the [x] - axis and distance is along the [y] - axis. The graph is attached.

Therefore, the graph that represents the situation is attached .

To solve more questions on graphs, visit the link below -

https://brainly.com/question/28566354

#SPJ2

The number of blue tickets is 50 tickets. The result is obtained by using the concept of operation with fractions.

In a hat, we have:

Find the number of blue tickets!

Let's say all tickets is a. Then,

The remaining section (pink tickets) is

= 1 - (green + white + blue) tickets

= 1 - (1/10 + 1/2 + 1/4)

= 1 - (2/20 + 10/20 + 5/20)

= 20/20 - 17/20

= 3/20

All tickets are

3/20 = 30/a

a = (20 × 30)/3

a = 20 × 10

a = 200 tickets

The blue tickets are

= 1/4 a

= 1/4 (200)

= 50 tickets

Hence, the blue tickets in the hat are 50 tickets.

Learn more about operation with fractions here:

brainly.com/question/25109841

#SPJ4

The vertex of the curve will be at (-2, -4) and the axis of symmetry is at -2

From the graph, the roots of the equation are -4 and 0, therefore, (x + 4) is a factor and x is also a a factor.

The equation of the curve is the product of the factors of the curve which is y = x(x + 4)

y =  + 4x

The x coordinate of the vertex =

will be illustrated as:

-b/2a = axis of symmetry

a and b is the coefficient of x

so a = 1, b = 4

x coordinate of vertex = -4/2 = -2

Then, substitute x = -2 into y =   + 4x to find the y-coordinate of the vertex

y = (-2)² + 4(-2)

y = 4 -8

y = -4

vertex  = (-2, -4)

The axis of symmetry is -b/2a which is -2

Therefore, the vertex is at (-2, -4).

Learn more about parabola: brainly.com/question/4061870

#SPJ1

Answer:

See below

Step-by-step explanation:

square root of 0.2 is around 0.4472 . . .

square root of 0.4 is around 0.6324 . . .

so, if we are ordering them from least to greatest, the order will go as follows:

1. 0.2

2. 0.4

3. square root of 0.2 (0.4472...)

4. square root of 0.4 (0.6324...)

The rate of change of the function  √x - 1/√x is found to be 1/(2√x) + 1/2(x)^3/2

The given function is f(x) = √x - 1/√x

The rate of change of a function tell us about the variation of the range (the value of f'(x)) with different values of domain (the value of x).

To find the rate of change of this function, or we can say the derivative of the function f(x) can be found by,

Differentiating f(x) with respect to x,

We get,

f'(x) = d(√x - 1/√x)dx

Differentiation one term at a time individually, we get,

f'(x) = 1/(2√x) + 1/2(x)^3/2

Hence, the rate of change of the function  √x - 1/√x is found to be 1/(2√x) + 1/2(x)^3/2

To know more about differentiation, visit,

https://brainly.com/question/954654

#SPJ4

Answer:

\(y=3cos(\frac{1}{2} (x+}225)+4\)   phase shift in degrees

\(y=3cos(\frac{1}{2} (x+\frac{5\pi }{4}))+4\)   phase shift in pi radians

Step-by-step explanation:

Here is the equation for the graph of the cosine function.

y = A sin(B(x + C)) + D

A = amplitude

period is 2π/B

C = phase shift

D = vertical shift

Lets convert 1800° to Pi radians.

\(1800*\frac{\pi }{180}\)

\(180(10)*\frac{\pi }{180}\)

\(10*\frac{\pi }{180}\)

\(10\pi\) radians

A = 3

B=2π/ 10π  simplifies to \(\frac{1}{2}\)

C = phase shift

D = 4

\(y=3cos(\frac{1}{2} (x+}225)+4\)   phase shift in degrees

\(y=3cos(\frac{1}{2} (x+\frac{5\pi }{4}))+4\)   phase shift in pi radians

The curve is defined by x = 4t^2 + 3 and y = t^8. To find the equation of the tangent line and the value of d^2y/dx^2 at the point where t is given. Therefore, the value of d^2y/dx^2 at the given point is 7.

The tangent line equation can be found by using the point-slope form of a line. The second derivative of y with respect to x is also calculated using the chain rule and substituting the value of t.

We are given that x = 4t^2 + 3 and y = t^8. To find the equation of the tangent line at a specific point, we need to differentiate y with respect to x using the chain rule:

dy/dx = dy/dt / dx/dt

Using the power rule of differentiation, we get:

dy/dt = 8t^7

dx/dt = 8t

Substituting the value of t at the given point, we get:

dy/dx = (8t^7) / (8t) = t^6

At the given point, we can find the value of t and then calculate the value of dy/dx. For simplicity, we assume that t = 1. Therefore, dy/dx = 1^6 = 1.

Next, we need to find the equation of the tangent line using the point-slope form of a line:

y - y1 = m(x - x1)

where (x1, y1) is the point of tangency and m is the slope of the tangent line.

Substituting the values of x1, y1, and m, we get:

y - t^8 = (dy/dx)(x - 4t^2 - 3)

y - 1 = (x - 4t^2 - 3)

Therefore, the equation of the tangent line is y = x - 4t^2 + 4.

Finally, we need to find the second derivative of y with respect to x using the chain rule:

d^2y/dx^2 = d/dx (dy/dx)

d^2y/dx^2 = d/dt (dy/dx) / dx/dt

Using the power rule of differentiation, we get:

d^2y/dt^2 = 56t^6

dx/dt = 8t

Substituting the value of t at the given point, we get:

d^2y/dx^2 = (56t^6) / (8t) = 7t^5

Again, assuming that t = 1, we get d^2y/dx^2 = 7. Therefore, the value of d^2y/dx^2 at the given point is 7.

Learn more about Tangent:

brainly.com/question/19064965

#SPJ11

Answer:

X = 4, x = -7

Step-by-step explanation:

You can set each equation in the parenthesis Equal to 0.

x - 4 = 0 and x + 7 = 0

start with x - 4 =0

add 4 to both sides

x = 4.

then do x +7 =0. subtract 7 from both sides.

x = -7

so x =4, and x = -7

a) the mean of this distribution is 20

b) the mean of the distribution is 20 and the standard deviation of the distribution is 4.58.

a. Calculation of mean of the given distribution:

Mean = ∑(x * P(x))

where x = value of the outcome

P(x) = Probability of the outcome

∑ denotes the summation over all the possible outcomes

Mean = (10 * 0.10) + (15 * 0.30) + (20 * 0.20) + (25 * 0.30) + (30 * 0.10)= 1 + 4.5 + 4 + 7.5 + 3= 20

b. Calculation of standard deviation of the given distribution:

σ = √[∑(x - μ)² P(x)]

where x = value of the outcome

μ = mean of the distribution

P(x) = Probability of the outcome

∑ denotes the summation over all the possible outcomes

σ = √[((10 - 20)² * 0.10) + ((15 - 20)² * 0.30) + ((20 - 20)² * 0.20) + ((25 - 20)² * 0.30) + ((30 - 20)² * 0.10)]= √[100 * 0.10 + 25 * 0.30 + 0 + 25 * 0.30 + 100 * 0.10]= √[10 + 7.5 + 3.5]= √21= 4.58

Learn more about probability at:

https://brainly.com/question/15570919

#SPJ11

(a) The range of c₁ (the objective coefficient of x₁) for which this BFS remains optimal is c₁ ≤ 2.

(b) The range of b₂ (the right-hand side of the second constraint) for which this BFS remains optimal is 3 ≤ b₂ < 4.

(c) The dual price of the second constraint is 0.

(a) The optimality condition for a linear programming problem requires that the objective coefficient of a non-basic variable (here, x₁) should not increase beyond the dual price of the corresponding constraint. In this case, the dual price of the second constraint is 0, indicating that increasing the coefficient of x₁ will not affect the optimality of the basic feasible solution. Therefore, the range of c₁ for which the BFS remains optimal is c₁ ≤ 2.

(b) The range of b₂ for which the BFS remains optimal is determined by the allowable range of the corresponding dual variable. In this case, the dual price of the second constraint is 0, implying that the dual variable associated with that constraint can vary within any range. As long as 3 ≤ b₂ < 4, the dual variable remains within its allowable range, and thus, the BFS remains optimal.

(c) The dual price of a constraint represents the rate of change in the objective function value per unit change in the right-hand side of the constraint, while keeping all other variables fixed. In this case, the dual price of the second constraint is 0, indicating that the objective function value does not change with variations in the right-hand side of that constraint.

Learn more about coefficient

brainly.com/question/1594145

#SPJ11

Answer:

3/4 x 1/2 = 3/8 in fraction form. 3/4 x 1/2 = 0.375 in decimal form.

Step-by-step explanation:

Answer: 3/4 x 1/2 = 0.375 in decimal form.

Step-by-step explanation:

The perimeter of the rectangle is approximately 208.9 meters.

To find the perimeter of the rectangle, we need to know the length of the other side.

Let's use the formula for the area of a rectangle:

area = length x width

We know that the area is 717.8 m^2 and one of the sides (width) is 7.4 m. So we can rearrange the formula to solve for the length:

length = area / width

length = 717.8 / 7.4

length ≈ 97.05 m

Now we have both the length and width of the rectangle, so we can find the perimeter:

perimeter = 2 x (length + width)

perimeter = 2 x (97.05 + 7.4)

perimeter = 2 x 104.45

perimeter = 208.9 m

Learn more about perimeter here

brainly.com/question/15401834

#SPJ4

Answer:

an expression of two or more algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

Step-by-step explanation:

Answer:

2 units

Step-by-step explanation:

Answer:

The answer is 2 units

Step-by-step explanation:

Answer:

I can't read it.

Step-by-step explanation:

The parent factors are the colours white or gray

Below is an image to represent the Tree diagram

It shows that for a white shirt Marcus can buy either a white medium and white large sizes

It also shows that for a gray shirt Marcus can also buy a gray medium and a gray large shirt

With this information, we can conclude that the possible answer to the question is the last OPTION D

Answer:

d

Step-by-step explanation:

The answer is C.

Step-by-step explanation:

First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :

Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :

Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :

The unit rate of the situation is 12/25 per hour

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

Size of the room painted = 1/5 of a room

Time spent painting the room = 5/12-hour

The unit rate of the scenario is then calculated using the following unit rate equation

Unit rate = Size of the room painted/Time spent painting the room

Substitute the known values in the above equation, so, we have the following representation

Unit rate = (1/5)/(5/12)

Evaluate the quotient

So, we have the following representation

Unit rate = 12/25

Hence, the unit rate is 12/25 per hour

Read more about unit rate at

brainly.com/question/19493296

#SPJ1

The numbers that cannot be probabilities are: square root of 2, -53, 5/3, and 1.31.

Probability is a measure of the likelihood of a particular event occurring in a random experiment. It is a value between 0 and 1, with 0 indicating that an event is impossible, and 1 indicating that an event is certain to occur.

In statistics, probability is used to make predictions or draw inferences about a population based on a sample of data. For example, if we were to flip a coin, the probability of getting heads is 0.5, or 50%. In general probability can be defined as the ratio of the number of favorable outcomes to the total number of possible outcomes, which is the mathematical framework behind the random experiments.

From the set of numbers, 0, 0.08, and 3/5 are all possible values of probability.

Therefore, square root of 2, -53, 5/3, and 1.31 cannot be probabilities.

Learn more about probability here: https://brainly.com/question/24756209

#SPJ4

Answer:

It is C

Step-by-step explanation:

To get the new coordinates you would move the shape up the y-axis 8 times, and right on the x-axis 8 times as well.

Answer:

C

Step-by-step explanation:

You can either compare two similar points or just count the units on the graph

An expression for the change she will receive is 8b - 100 = 100

You should be aware that an expression in math is a sentence with a minimum of two numbers or variables and at least one math operation

The given parameters are

Nathan buys 9 items

She gives the cashier $100

The expression 8(b) -100 = 100%

Where 100 is the full amount payable

Therefore, the expression becomes 8b -100=100

Learn more  about an expression on https://brainly.com/question/14083225

#SPJ1