Which point on the number line represents the location of the value of -5.5 + 8?

Answer:

11/43

Step-by-step explanation:

A local community college has 860 students

Out of this 860 students, 220students ride bikes

Therefore the fraction of bike riders to the number of students can be calculated as follows

= 220/860

= 11/43

The rate of increase of the depth of the water (W(t)) is constant.

What is rate ?

In mathematics and physics, the rate is a measure of change of a certain quantity with respect to another quantity. The rate can be a number, a ratio or a derivative. It is often represented by the symbol "d" or "dx/dt" or "dy/dt" and it measures how fast a quantity is changing.

Water is poured into the top half of a spherical tank at a constant rate, this means that the rate of increase of the depth of the water (W(t)) is constant.

In this case, W(t) is constant.

It is important to keep in mind that the rate of change of the function doesn't indicate the shape of the function, it just tells us the change of the dependent variable with respect to the independent variable. The shape of the function can be visualized by creating a graph of the function.

So , The rate of increase of the depth of the water (W(t)) is constant.

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Answer:

The value of c is -1

g(x) = x² + 2x - 1, x ≥ -1

x must be greater than or equal -1 to make g(x) one-one function

Step-by-step explanation:

Let us use these notes to solve our question

∵ g(x) = x² + 2x +c, where x ≥ -1

∴ g(x) is quadratic function

∵ f(x) is the inverse of g(x)

∵ f(2) = 1

→ That means point (2, 1) lies on the graph of f(x)

∴ (2, 1) ∈ f(x)

→ Switch x and y to find the image of this point on g(x)

∴ (1, 2) lies on the graph of g(x)

∴ (1, 2) ∈ g(x)

→ T find c substitute x and g(x) by the coordinates of the point (1, 2)

∵ x = 1 and g(x) = 2

∴ 2 = (1)² + 2(1) + c

∴ 2 = 1 + 2 + c

∴ 2 = 3 + c

→ Subtract 3 from both sides to find c

∵ 2 - 3 = 3 - 3 + c

∴  -1 = c

∴ The value of c is -1

∴ g(x) = x² + 2x - 1

To find the x-coordinate of the vertex point of g(x) use this rule h = \(\frac{-b}{2a}\) , where a is the coefficient of x² and b is the coefficient of x

∵ a = 1 and b = 2

∴ h = \(\frac{-2}{2(1)}=\frac{-2}{2}\)

∴ h = -1

→ By using the 3rd note above we must restrict the domain at the

  x-coordinate of its vertex

∵ The x-coordinate of g(x) is -1

∵ f(x) is the inverse of g(x)

∴ The domain of g(x) must be greater than or equal to -1

→ The domain is the values of x

∴ g(x) has an inverse if x ≥ -1

∴ x must be greater than or equal to -1 to make g(x) one-one function

Answer:

x = 6 , y= -2

Step-by-step explanation:

=1 ( 2x + 3y =6)

2( x+y=4)

2x+3y =6 (1)

2x+2y = 8 (2)

by eq 1 and 2 using elimination method

y = -2

putting y in eq 2

2x + 2(-2)=8

2x -4 =8

2x =8+4

2x=12

x= 6

Answer:

x = 6 ,  y = -2

Step-by-step explanation:

2 x + 3 y = 6  (Equation 1)

x + y = 4        (Equation 2)

Solving by substitution :

(Equation 2) ⇒ y = 4 - x

Substitute y by 4 - x in (equation 1) :

2 x + 3 (4 - x) = 6

Then

2 x + 12 - 3x = 6

Then

12 - x = 6

Then

12 - 6 = x

Then

x = 6

We obtain :

y = 4 - x and x = 6

Then

y = 4 - 6

  = -2

Answer:

put it in desmos and turn it into table

Answer:

(x-9)²+(y-1)²=1

Step-by-step explanation:

Standard equation of a circle with center at (h, k) and radius r

(x-h)²+(y-k)²=r²

(x-9)²+(y-1)²=r², for the center of the circle at (9,1)

(x-9)²+(y-1)²=1², because the radius must be 1 since the circle needs to tangent to the x-axis

(x-9)²+(y-1)²=1

Descriptive statistics summarize numbers and inferential statistics determine whether the results are significant.

What is statistics?

The gathering, characterization, analysis, and drawing of inferences from quantitative data are all tasks that fall under the purview of statistics, a subfield of applied mathematics. Probability theory, linear algebra, and differential and integral calculus play major roles in the mathematical theories underlying statistics.

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Answer: If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.

Step-by-step explanation:

Given: The correlation coefficient between class attendance and number of problems missed on an exam is –0.77.

When correlation coefficient is negative it means negatively correlation.

i.e. If independent variable increases dependent variable decreases or vice-versa

Also, its absolute value is larger than 0.7 it means it indicates a strong correlation.

Independent: class attendance

Dependent: problems missed on an exam

So by correlation coefficient , correct interpretation would be:

Student with high class attendance is less likely to miss problem on an exam.

i.e. If a student attend class regularly then he is more likely to do well on the exam than someone who does not attend class regularly.

The length of the diameter of a circle with endpoints at points (-2, 87) and (18, 91) is  20.4 units

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

distance between points  (-2, 87) and (18, 91) is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(-2 - 18)² + (87 - 91)²}

d =√{400 + 16}

d = √416

d = 20.4 units

The diameter has length 20.4 units

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Answer: Hello! I'm JK!.....

Yes there is!

First, divide the large number by a small number.

If the remainder is left, then divide the first divisor by remainder.

If the remainder divides the first divisor completely, then it is the HCF or highest common factor of the given two numbers.

Step-by-step explanation:

I hope this helps you! <3 XoXoGoldenMaknae

Answer:

c

IT was pretty easy

Answer:

4feet and 7inches

Step-by-step explanation:

so

\(28 \div 12\)

\( = 2.3333333\)

hope that helps :))

The cartesian vector form of \(F\) is \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\). We call x + yi the Cartesian form for a complex number.

Given that \(i,j,p\) and \(q\) are unit vectors and the angle \(\alpha = 222\)°, we can express the cartesian vector form of \(F\) as \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\).

To calculate the components of \(F\) , we use the trigonometric functions \(cos(\alpha )\) and \(sin(\alpha )\) with the given angle \(\alpha = 222\)°.

\(cos(222) = -0.766\\sin(222) = -0.643\)

Substituting these values into the cartesian vector form, we have:

\(F = (-31cos(222)i + 102sin(222)j)\\F = (-31 * -0.766i + 102*-0.643j)\\F = (23.746i - 65.586j)\)

Therefore, the cartesian vector form of \(F\) is \(F = (23.746i - 65.586j)\).

The cartesian vector form of \(F = (23.746i - 65.586j)\)

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Answer:

12

Step-by-step explanation:

6 and 4 are factors of 12

6, 12

4, 8, 12

Therefore, the solution to the system of linear equations is: x₁ = -5, x₂ = 11, x₃ = -18.

To solve the system of linear equations:

3x₁ + 2x₂x₃ = 10

-x₁ + 3x₂ + 2x₃ = 5

x₁ - x₂ - x₃ = -1

We can use various methods such as substitution, elimination, or matrix methods. Here, we'll use the elimination method.

Step 1: Multiply the second equation by 3 and add it to the first equation:

3x₁ + 2x₂x₃ = 10

-(3x₁ - 9x₂ - 6x₃ = 15)

-7x₂ - 4x₃ = -5 (Equation A)

Step 2: Multiply the third equation by 3 and add it to the first equation:

3x₁ + 2x₂x₃ = 10

(3x₁ - 3x₂ - 3x₃ = -3)

-x₂ - x₃ = 7 (Equation B)

Step 3: Add Equation A and Equation B:

-7x₂ - 4x₃ = -5

+(-x₂ - x₃ = 7)

-8x₂ - 5x₃ = 2 (Equation C)

Step 4: Multiply Equation B by 8 and subtract it from Equation C:

-8x₂ - 5x₃ = 2

+8x₂ + 8x₃ = -56

3x₃ = -54

Step 5: Solve for x₃:

x₃ = -54/3

x₃ = -18

Step 6: Substitute the value of x₃ back into Equation B to solve for x₂:

-x₂ - x₃ = 7

-x₂ - (-18) = 7

-x₂ + 18 = 7

-x₂ = 7 - 18

-x₂ = -11

x₂ = 11

Step 7: Substitute the values of x₂ and x₃ into Equation A to solve for x₁:

-7x₂ - 4x₃ = -5

-7(11) - 4(-18) = -5

-77 + 72 = -5

-5 = -5

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The second and last one.

The second one multiplies the cost of each type of ticket by two, therefore saying that you wanted to buy two of each type of ticket.

The last one multiplies the cost of a single ticket of all three types and multiplies it by 2.

Answer:

The second and last one

Step-by-step explanation:

Hope this helps and have a good day!

Answer:   14  2/3

This is the same as saying \(14\frac{2}{3}\) which is the mixed number 14 and 2/3

whole part = 14

fractional part = 2/3

==================================================

Explanation:

To find the volume of a prism, we multiply the base area by the height.

The base area is shown in green as 7  1/3 square units.

This multiplies with the height 2 to get

2*(7  1/3) = 2*(7 + 1/3) = 2*(7) + 2*(1/3) = 14 + 2/3 = 14   2/3

As alternative notation, you can write  14  2/3  as 14 & 2/3.

Or you could write \(14 \frac{2}{3}\). Keep in mind that this does not mean 14 times 2/3.

Answer:

  19

Step-by-step explanation:

The triangle inequality tells you the possible values of x are ...

  24 -10 < x < 24 +10

  14 < x < 34

There are 19 integer values of x in this range.

Answer:

1.5 for Tristan

2 for Ebony

Shanya is the fastest typist

Step-by-step explanation:

To find the unit rate of words per second you should divide the number of words by the number of seconds. So, this means that for Tristan, his unit rate is equal to 30/20, which is 1.5. Additionally, Ebony's unit rate is 2 words per second because 100/50 = 2.

Using this data, we can figure out that Shanya is the fastest because they can type the most words per second.

Answer:

Greater.

Step-by-step explanation:

1/6 is multiplied by 3/2 which is greater than 1 so the result will be greater.

Answer:

A is correct

Step-by-step explanation:

Whatever value you put in for "y" will keep both of the equations equal

Charging parents or carers a fee for being late to pick up their children at childhood centers has both pros and cons. The benefits include encouraging punctuality, ensuring the smooth operation of the center, and compensating staff for their extra time.

However, the costs include potential strain on parent-provider relationships, additional stress for parents, and the possibility of creating financial burdens for certain families.

Implementing a late fee policy can be beneficial for childhood centers. Firstly, it incentivizes parents and carers to arrive on time, which helps maintain an organized and efficient schedule for the center. Punctuality promotes a smooth transition between activities, minimizes disruptions, and ensures that staff members can fulfill their responsibilities within the scheduled work hours. Secondly, the fees collected from late pickups can compensate staff members for their additional time and effort, reducing any potential resentment or burnout caused by consistently dealing with tardy parents.

On the other hand, there are costs and potential limitations associated with charging late fees. The policy may strain relationships between parents or carers and the childhood center, as some individuals may perceive it as punitive or unfair. This can lead to negative feelings and tensions between the parents and the center's staff, potentially impacting the overall atmosphere of the facility. Moreover, charging fees for late pickups can cause stress for parents or carers who may already be facing difficulties in managing their time and commitments. Additionally, families with financial constraints may find it challenging to afford the extra cost, potentially exacerbating their financial burden and causing further stress.

Monetary incentives are not always successful in motivating behavior. While financial rewards can be effective in certain circumstances, they may not address the underlying reasons for lateness or incentivize long-term behavioral change. Other factors such as time management skills, unforeseen circumstances, or personal challenges may play a more significant role in determining punctuality.

Furthermore, relying solely on monetary incentives may lead to a mindset where individuals are motivated solely by financial gain, potentially neglecting other aspects of personal growth or responsibility.

In conclusion, charging a late fee at childhood centers can have its advantages in promoting punctuality and compensating staff, but it also comes with potential drawbacks such as strained relationships and added stress for parents.

Monetary incentives are not always the sole solution for motivating behavior, and it is important to consider a holistic approach that takes into account individual circumstances, communication, and support mechanisms to address issues related to lateness.

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Answer:

well since there is no math, the first feed that runs out, will be the animal that they have the most of, or the bigger animals. meaning lemurs for multiple or large meaning elephant, or your mother

Step-by-step explanation:

no offense, it's just faster to drive around the world than trying to print a picture of your mom

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x)=2x^2-9x-18

(2x+3)(x-6)

Answer:

14

Step-by-step explanation:

1/9(3)^4+5

1/9*81+5

9+5

14 is your answer

Answer:

Step-by-step explanation:

                            Mixed number          Improper fraction

a) 1 + 1 + 1/3 =            \(2\frac{1}{3}\)                                7/3

b) 1 + 1 + 1 + 5/8 =     \(3\frac{5}{8}\)                                 29/8

c) 1 + 1 + 1 +2/4 =      \(3\frac{2}{4}\)                                  14/4

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the degree of a certain polynomial will be the largest degree of any term.

For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 7x⁵ has the highest exponent of x i.e. 5. Thus, the polynomial has a degree of 5.

We also know that the coefficient of the term with the largest degree of the polynomial is called the leading coefficient of the polynomial.

For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 7x⁵ has the highest degree of 5. Thus, the leading coefficient of the polynomial

will be 7.

We also know that the constant term of a polynomial has the degree zero. i.e. the term which involves no variable.

For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 3 does not have any variable involved in it. Thus, the constant term of the polynomial

will be 3.

Coming back to the question:

Given the expression

-7

Answer:

leading coefficient: -7

constant term: -7

degree: 0

Step-by-step explanation:

To estimate the instantaneous rate of growth in 2000 by taking the average of the last two rates of change, follow these steps: Step 1: Calculate the annual rate of growth for each of the two years preceding 2000 using the given data. You can use the formula: Annual growth rate = (new value - old value) / old value x 100%

For example, to calculate the rate of growth from 1998 to 1999, use the formula: (12,900 - 11,800) / 11,800 x 100% = 9.32%Repeat this process for the rate of growth from 1999 to 2000.Step 2: Add the two rates of growth calculated in Step 1 and divide the sum by 2 to find the average rate of growth. For example, if the rate of growth from 1998 to 1999 is 9.32% and the rate of growth from 1999 to 2000 is 7.87%, then the average rate of growth is: (9.32% + 7.87%) / 2 = 8.595%.

Step 3: Use the average rate of growth as an estimate of the instantaneous rate of growth in 2000. This is because an instantaneous rate of growth is the rate at a single moment in time, which cannot be measured directly. Instead, it can be approximated by taking the average of two nearby rates of change, which is what we did in this problem. Therefore, the instantaneous rate of growth in 2000 can be estimated to be 8.595%.

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