Write an inequality for the following graph

The distance and time are not proportional and it is not uniform speed or velocity

When an object travels an equal amount of distance in an equal amount of time then it is moving with a uniform speed. It is a scalar quantity. Its unit is m s - 1 . For example, a truck moving on a highway covers equal distances in equal time intervals regardless of the direction of motion of the truck.

In the table above,

The interval of time between 6 and 8 is 2 and the

interval of time between 8and 12 is 4. Though the interval in time are equal but the distances are not equal. This means that the speed between 8 and 12 is higher to the speed it uses between 6 and 8

speed = distance/time

= 2/5 = 0.4km/min

speed = distance/time

= 4/5 = 0.8km/min

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The frequency table for wins and losses is given at the end of the table.

The frequencies are as follows:

The relative frequency of an event in an experiment is calculated as the number of trials in which the event happened divided by the total number of trials of the experiment.

In the context of this problem, the team played 20 games, and the numbers used to construct the frequency table are as follows:

These absolute frequencies are used to construct the frequency table.

Hence the relative frequencies are calculated as follows:

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Answer:

12f

Step-by-step explanation:

3f + 3f + 3f + 3f = 12f

Based on the calculations we have rejected the null hypothesis .

Given,

Standard deviation = $ 45

Random sample = 20

Now,

Part 1

Set the null hypothesis and alternative hypothesis,

\(H_{0} : u = 0\\ H_{0} : u > 606.40\)

Part 2

The value of z critical signifies 5% level of significance .

\(Z_{0.05} = 1.65\)

According to critical value if z after calculation is greater than or equal to 1.65 we reject the null hypothesis .

Part 3

The value of Z can be calculated by the formula,

Z = X - µ/σ/√n

Substitute the values ,

Z = 628.85 - 606.40/45/√20

Z = 1.93

Part 4

From the above calculation the value of Z is greater than the critical value .

Thus we reject the null hypothesis .

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Answer:

C, 105 Degrees

Step-by-step explanation:

So the two opposite sides of a parallelogram is equal to each other and the two adjacent angles are supplementary. So if (x+40)+3x=180, this means that 4x+40=180. This gives us 4x=140, so x=35. If we plug it back into the equation it ascertains as such: 3(35)= 105. The answer for this question and angle O is 105 degrees, or C.

The measure of angle O in this parallelogram is 105°.

Solution

Because the properties says that opposite angles are equal.

Angle L =  (x + 40)

angle O = (3 x)

Applying the first property

x+40+x+40+3x+3x = 360

x+x+3x+3x+40+40 = 360

8x+80 = 360

8x = 360-80

8x = 280

Divide through the equation by 8

x = 280/8

x = 35

The question wants us to find the value of angle O

O = 3x

O = 3*35

= 105

The value of angle O is equal to 105°

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A piecewise defined function is a function divided into branches by certain conditional rules. The conditions stand after the conditional "if". To evaluate a piecewise defined function for a particular value, we need to know first which condition it satisfies, and then, apply its corresponding rule.

Here, we have the function

Let's begin the evaluations with -4. Note that it's less than 0, that is, it satisfies the first condition (x<0). By what I said before,

The next is f(-3). Again, -3<0. Thus

Now, 0 satisfies the second condition,

This means that we must apply the second rule (adding 2):

The next two numbers 3 and 4 satisfy the second condition as well (for they are positive). Then,

The statement describes the incidence measure of occurrence, which refers to the number of new cases of a disease or condition that occur in a defined population over a specific period of time.

This statement describes the incidence rate of flu among students living in Dunedin hostels.
The incidence rate is a measure of occurrence that calculates the number of new cases (in this case, students getting sick with the flu) in a specific population (150 students in Dunedin hostels) over a specific time period (3 months). This rate helps us understand the frequency at which the flu is affecting this particular group of students

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Answer:

B) 3b. 10b

Step-by-step explanation:

B) 3b. 10b = (3x10)(bxb) = 30b²

Answer:

13 units

Step-by-step explanation:

Here we need to use the distance formula.

Hence we get that,

AB =  \(\sqrt{(-8-4)^2 + (4-(-1))^2}\)

AB =  \(\sqrt{(-12)^2 + 5^2}\)

AB =  \(\sqrt{144 + 25}\)

AB =  \(\sqrt{169}\)

AB =  13

The distance between point A(-8,4) and B(4,-1) is 13 units.

The distance between two points of the xy-plane can be found using the distance formula. The distance formula is:

√[(x₂ - x₁)² + (y₂ - y₁)²].

Now the given points are,

A(-8,4) and B(4,-1)

Therefore we have,

x₁ = -8

y₁ = 4

x₂ = 4

y₂ = -1

Now distance between A(1,4) and B(-3,3.5) = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - (-8))² + (-1 - 4)²]

= √[(4 + 8)² + (-5)²]

= √(12² +25)

= √(144 +25)

= √169

= 13 units

Thus, the distance between points A(-8,4) and B(4,-1) is 13 units.

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Answer:

1 - b  2-c  3-d  4-5  6-C  7-A 8-B

Step-by-step explanation:

The diagonal measurement as √5625 ft, which is approximately 75 feet, the correct answer is B. 75 ft 0 in.

The diagonal measurement of the rectangular slab on grade can be found using the Pythagorean theorem. The diagonal is the hypotenuse of a right triangle formed by the length and width of the slab.

To calculate the diagonal measurement, we can apply the Pythagorean theorem:

Diagonal² = Length² + Width²

Substituting the given values, we have:

Diagonal² = (60 ft 0 in.)² + (45 ft 0 in.)²

Calculating this expression, we find:

Diagonal² = 3600 ft² + 2025 ft²

Diagonal² = 5625 ft²

Taking the square root of both sides, we obtain:

Diagonal = √5625 ft

Diagonal ≈ 75 ft

Therefore, the diagonal measurement of the rectangular slab on grade is approximately 75 feet.

To find the diagonal measurement of the rectangular slab on grade, we can use the Pythagorean theorem,

which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides (length and width).

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a. The matrices whose entries are all greater than or equal to 0: Yes, it is a subspace.

b. The matrices with trace (the sum of diagonal entries): No, it is not a subspace.

c. The matrices with all zeros in the third row: Yes, it is a subspace.

d. The matrices of rank 3: No, it is not a subspace.

e. The non-invertible matrices: No, it is not a subspace.

f. The matrices such that the vector [1, 2, 3] is in the kernel: Yes, it is a subspace.

What is matrix?

A matrix is a rectangular array of numbers or elements arranged in rows and columns. It is a fundamental concept in linear algebra and has various applications in mathematics, science, engineering, and computer science.

Let's analyze each subset and determine whether they are subspaces of the set of matrices.

a. The matrices whose entries are all greater than or equal to 0:

This subset is a subspace of the set of matrices since it satisfies the three conditions for being a subspace: closure under addition, closure under scalar multiplication, and containing the zero vector.

b. The matrices with trace (the sum of diagonal entries):

This subset is not a subspace of the set of matrices because it does not satisfy closure under scalar multiplication. Multiplying a matrix by a scalar will change the diagonal entries and, thus, the trace.

c. The matrices with all zeros in the third row:

This subset is a subspace of the set of matrices since it satisfies the three conditions for being a subspace: closure under addition, closure under scalar multiplication, and containing the zero vector.

d. The matrices of rank 3:

This subset is not a subspace of the set of matrices because it does not satisfy closure under addition. Adding two matrices of rank 3 may result in a matrix with a rank less than 3.

e. The non-invertible matrices:

This subset is not a subspace of the set of matrices because it does not satisfy closure under scalar multiplication. Multiplying a non-invertible matrix by a non-zero scalar will result in a matrix that may be invertible.

f. The matrices such that the vector [1, 2, 3] is in the kernel:

This subset is a subspace of the set of matrices since it satisfies the three conditions for being a subspace: closure under addition, closure under scalar multiplication, and containing the zero vector (which makes the vector [1, 2, 3] in the kernel).

In summary:

a. Yes, it is a subspace.

b. No, it is not a subspace.

c. Yes, it is a subspace.

d. No, it is not a subspace.

e. No, it is not a subspace.

f. Yes, it is a subspace.

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The process of finding similarities and differences between a new problem and another problem that has already been solved in order to make predictions is called  is "analogous" recognition.

An explanation of this process is that it involves identifying commonalities and differences between two problems and then using that knowledge to inform a solution for the new problem. By recognizing the similarities between the two problems, we can make predictions about how the new problem may be solved.

analogous recognition is an important problem-solving technique that helps us to apply past knowledge and experiences to new situations. By finding similarities and differences between problems, we can make informed predictions and find effective solutions.
The term you are looking for is "analogy."

Analogy recognition is the process of finding similarities and differences between a new problem and a previously solved problem in order to make predictions. This cognitive strategy helps in problem-solving by using prior knowledge and experiences as a guide.

In summary, the 7-letter term that describes the process of finding similarities and differences between a new problem and a solved problem to make predictions is "analogy."

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here's the solution :

3 × 10³ times greater.

Answer:

3 × 10³ times greater

Step-by-step explanation:

\( \frac{9 \times {10}^{ - 4} }{ 3 \times {10}^{ - 7} } \)

\( = \frac{9}{3} \times {10}^{ - 4 + 7} \)

\( = \bold{ 3 \times {10}^{3}} \)

Answer:

1. 24200

2. 0.0156

3. 0.00009092

Step-by-step explanation:

positive you move the decimal back wards and add the amount of zeros needed.

negative you move the decimal forwards and add zeros.

The total number of customers in the store is 95

Number of customers who paid cash = 40

Number of customers who used debit card = 16

Number of customers who used credit card = 39

Total number of customers in the store = 40 + 16 + 39

= 95

Probability that the next customer pays in cash = Number of customers who paid cash / Total number of customers in the store

= 40/95

= 8/19

Therefore, 8/19 is the probability of the next customers paying cash.

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The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

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The solution to the given integral is: frac{pi}{4}g(x) + frac{1}{2}cdot frac{Gamma(frac{3}{2})Gamma(frac{1}{2})}{Gamma(2)} cdot g(x).

Given integral: int_0^1 (1-t^2)g(x) dt

To solve the given integral, we will make use of Beta function.

The Beta function is defined as follows:

B(p,q) = int_0^1 t^{p-1}(1-t)^{q-1} dt

Using substitution, t = sin theta, we get:

int_0^1 (1-t^2)g(x) dt = int_0^{frac{pi}{2}} (1-sin^2 theta)g(x) cos theta dtheta

= int_0^{frac{\pi}{2}} cos^2 theta g(x) d\theta

= frac{1}{2}\int_0^{\frac{\pi}{2}} (1+\cos 2\theta) g(x) d\theta

= frac{1}{2} \left(\int_0^{\frac{\pi}{2}} g(x) dtheta + int_0^{frac{pi}{2}} g(x) cos 2theta dtheta right)

Using B(p,q)$ for the second integral, we get:

int_0^1 (1-t^2)g(x) dt = frac{1}{2}left(frac{pi}{2}g(x) + frac{1}{2}cdot frac{Gamma(frac{3}{2})Gamma(frac{1}{2})}{Gamma(2)} cdot g(x) right)

= frac{pi}{4}g(x) + frac{1}{2}cdot frac{Gamma(frac{3}{2})Gamma(frac{1}{2})}{Gamma(2)} cdot g(x).

Hence, the value of the given integral int_0^1 (1-t^2)g(x) dt is frac{pi}{4}g(x) + frac{1}{2}cdot frac{Gamma(frac{3}{2})Gamma(frac{1}{2})}{Gamma(2)} cdot g(x).

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The function f is increasing for x > 3/2.

To determine the values of x for which the function f is increasing, we need to find the critical points of f, which are the values of x where the function changes from increasing to decreasing or vice versa.

The first step is to find the derivative of f:

f'(x) = (2x - 3)e-x

Next, we need to find the critical points by setting f'(x) = 0 and solving for x:

(2x - 3)e-x = 0

2x - 3 = 0

x = 3/2

This is the only critical point of f. To determine the behavior of f near this critical point, we need to find the second derivative of f:

f''(x) = (2 - 3e-x)

For x < 3/2, f''(x) < 0, which means f is concave down and f'(x) is decreasing. This means that f is decreasing for x < 3/2.

For x > 3/2, f''(x) > 0, which means f is concave up and f'(x) is increasing. This means that f is increasing for x > 3/2.

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Answer:

Roughly 20.4%

Step-by-step explanation:

Use the formula of percent of error:

| Actual number - Guess / Actual number | (100)

The actual number is 108 and the guessed number is 86:

| 108 - 86 / 108 | (100)

= | 22/108 | (100)

= | 0.2037037037 | (100)

The vertical lines indicate absolute value.  This means that anything inside of it must be turned into its positive form.  Since it is already positive, just take the signs away:

0.2037037037(100)

≈ 0.204(100)

= 20.4

Turn this into a percent:

20.4%

Martha's percent of error is 20.4%

Please tell me if I was right or not.  I really hope this helps!

Answer: (x-2),(2x+3), and (2x-1)

Step-by-step explanation: I just took the test and guessed but now I know the answer, so I'm helping everyone :)

Answer:

16c² + 32c + 16

Step-by-step explanation:

(4c+4)² =

(4c+4)(4c+4) =

16c² + 16c + 16c + 16 =

16c² + 32c + 16

I think this is the answer you are looking for.

Hope this helped and have a good day

We will find the sum of 3+ 1 1/2 with help of a

we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.

Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.

Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.

We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-

7800000-25000= 7775000m

hence, to make 7800000 from 25000 we have to add 7775000.

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Answer:

Step-by-step explanation:

From the graph we can notice that :

Again we can deduce from the graph that :

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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Answer:

dude i have the same question

Step-by-step explanation:

WHAT IS THE ANSWER