What is the slope of the line that passes through the points (5.3) and (-4,-1)

Answer:

Step-by-step explanation:

\( = \frac{9 + 12 + 30}{2}cm \\ = \frac{51}{2}cm \\ 25.5cm\)

Answer:

To solve this problem, we will use the concept of proportion. We can assume that the proportion of faulty lamps in the sample of 50 is the same as the proportion of faulty lamps in the total production of 4000 lamps.

The proportion of faulty lamps in the sample of 50 is:

4/50 = 0.08

So, we can assume that 8% of the total production of 4000 lamps will be faulty.

To calculate the number of faulty lamps in the total production, we can multiply 8% by the total number of lamps:

0.08 x 4000 = 320

Therefore, we would expect 320 lamps out of the total production of 4000 lamps to be faulty.

Step-by-step explanation:

Answer:

=2m³−m²u+m²+3m+2

Step-by-step explanation:

m²+2mm²−um²+3m+2

= m²+2m³+−m²u+3m+2

= 2m³−m²u+m²+3m+2

The equation (1 – 2z²)y" – ay = 0 is satisfied by y = arcsin z.


We are given y = arcsin z. Using the chain rule of differentiation, we can show that:y' = 1/√(1 - z²)zy'' = -z/((1 - z²)³/²)

We can use these expressions to find y" in terms of y and z.

To do this, we differentiate the expression for y' with respect to z.

This gives:y" = -1/(1 - z²)³/² + z²/(1 - z²)^(5/2)We can now substitute these expressions into the differential equation (1 – 2z²)y" – ay = 0, and simplify:y" = -1/(1 - z²)³/² + z²/(1 - z²)^(5/2)(1 – 2z²) - ay/(1 - z²)

Now, using the identity 1 - z² = sin² y, we can simplify this expression further:y" = -1/√(1 - z²)² + z²/√(1 - z²)⁴(1 - 2z²) - ay/√(1 - z²)²= -cos y + z²sin²y(1 - 2sin²y) - a

This can be rewritten as:(1 – 2?)y" – ay = 0

Therefore, we have shown that y = arcsin z satisfies the second-order differential equation (1 – 2z²)y" – ay = 0.

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The total amount Julio spent on a salad and a container of yogurt in the form of note and coin is equal to $6.38.

To determine how much Julio spent while buying  a salad and a container of yogurt, we have to multiply the value of each notes into their quantity then add all of them.

Number of 25 cents coins = 4

⇒ 4×0.25 = 1.00

Number of 5 dollar note = 1

⇒ 1×5 = 5.00

Number of 10 cents coins = 3

⇒ 3×0.10=0.30

Number of 1 cents = 3

⇒ 3×0.01=0.03

Number of 5 cents = 1

⇒ 1×0.05=0.05

Julio spent = 1.00 + 5.00 + 0.30 + 0.03 + 0.05

                  = $6.38

Therefore, the total amount Julio spent on a salad and a container of yogurt in the form of note and coin is equal to $6.38.

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The complete question is :

Julio buys a salad and a container of yogurt. These bills and coins shown in attached image represent the cost of each item. How much did Julio spend in all?

Answer: B

Step-by-step explanation: TRUST

The horizontal component of the force vector is 260 pounds, and the vertical component is 150 pounds. (Option B).

To find the horizontal and vertical components of the force vector, we can use trigonometry. The horizontal component is the force acting in the direction parallel to the ground (x-axis), and the vertical component is the force acting in the direction perpendicular to the ground (y-axis).

Given that the force is 300 pounds and makes a 30° angle with the ground, we can calculate the components as follows:

Horizontal component (F_horizontal) = Force * cos(angle)

Vertical component (F_vertical) = Force * sin(angle)

Inserting in the values:

Horizontal component (F_horizontal) = 300 pounds * cos(30°)

Vertical component (F_vertical) = 300 pounds * sin(30°)

Now, let's calculate:

Horizontal component (F_horizontal) = 300 pounds * 0.866 (rounded to 3 decimal places, cos(30°) ≈ 0.866)

F_horizontal ≈ 259.8 pounds

Vertical component (F_vertical) = 300 pounds * 0.5 (rounded to 3 decimal places, sin(30°) ≈ 0.5)

F_vertical ≈ 150 pounds

Therefore, the required components of the force vector are approximately 260 pounds and 150 pounds.

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The expression:

To get the value of x

Step 1: solve the expression

Step 2: solve the expression introducing the negative sign

The answer is:

x=-1 or x =11

Mathematical equations solver

Answer:

2,227.68 rounded to 2000

Step-by-step explanation:

Answer:

x^2 +xy+3x+2y+2

Step-by-step explanation:

(x+2)(x+y+1)

Apply the distributive property by multiplying each term of x+2 by each term of x+y+1.

x^2+xy+x+2x+2y+2

Combine x and 2x to get 3x

x^2 +xy+3x+2y+2

Answer: x^2+xy+3x+2y+2

Step-by-step explanation:

Expand and simplify

The sentence "64% of women in the sample are the principal investor in their household" serves as an example of descriptive statistics.

This sentence provides a summary of the survey's data and a descriptive statistic (percentage) that characterizes the sample's characteristics.

According to the survey's findings, "there is a correlation between American women and being the principal investor in their household." The sample data are used to draw this conclusion about the population. Despite the fact that the sample is not representative of all American women, the findings indicate that a sizable number of the women in the sample are the principal investors in their households.

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Answer:

2 he needs to add 2 to keep the ratio the same, the total would be 12

Step-by-step explanation:

before he adds the book the ratio is 2:1 (fiction to non-fiction) and he add 4 to the fiction so he needs to add 2 non-fiction books because this ration means fiction/2 = non-fiction so 4/2 = 2

hope this helps have a blessed day :)

Answer:

3616800

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Unit price: 9 / 5 = 1.8

20 box price: 1.8 * 20 = 36

A control system where the output variable is compared with an input parameter, and their difference is used to drive the output is called closed-loop control.

In closed-loop control, the output of the system is constantly compared to a desired setpoint, and any differences between the two are used to adjust the system's behavior to reduce or eliminate the error. This type of control system is also known as feedback control, and it is widely used in many different applications, including process control, robotics, and automatic temperature regulation. In contrast, open-loop control does not have feedback or error correction, and the output of the system is determined solely by the input parameters, without regard to the actual output of the system.

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You have the following expression:

In order to determine if z=-5 is a solution to the previous equation, replace z=-5 and verify the equation, just as follow:

Hence, z=-5 is a solution of the given equation

Answer:

b. The mapping represents y as a function of x, because each y-value corresponds to exactly one x-value.

Step-by-step explanation:

The number of units produced increases from 2 to 452 as the number of factory workers increases from 0 to 90, which gives;

Part A:

Part B:

Part C:

Part A:

The correlation is the relationship between variables based on statistical data.

From the given table, the difference between consecutive terms of the x and y-values are constant, therefore as the x-values increases, the corresponding y-value increases.

Change in x-values, ∆x = 10 - 0 = 20 - 10 = 30 - 20 = 10

Change in y-values, ∆y = 52 - 2 = 102 - 52 = 152 - 102 = 50

Therefore;

Part B:

Given that the rate of change of the x-values is constant, and the rate of change of the y-values is a constant, the function relating the x and y-values is a linear function, which can be found as follows;

Slope of the equation, m = ∆y/∆x

Which gives;

m = 50/10 = 5

y - 2 = 5•(x - 0)

The function that best fits the data is therefore;

Part C:

The slope of the function is the coefficient of the variable x in the equation, y = m•x + c

The y-intercept of the function is the value of the constant term, c, in the equation, y = m•x + c

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An equation that would have infinitely many solutions to 3x + 7y = 10 is written to be  6x + 14y = 20

A consistent system is dependent if there are an endless number of possible solutions.

The two equations represent the same line when you graph them. Such equations increase or decrease by same factor hence using a factor of 2 to increase the given equation we have

(3x + 7y = 10) *  2

= 6x + 14y = 20

6x + 14y = 20 will have infinite number of possible solutions when solved with 3x + 7y = 10

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Answer:

\(Quotient = 17\)

Step-by-step explanation:

Given

\(\frac{-1019}{-57}\)

Required

Determine the quotient

\(\frac{-1019}{-57}\)

Start by dividing the numerator and denominator by -1

\(\frac{1019}{57}\)

The quotient is the integer division of two numbers;

\(\frac{1019}{57} = 17.8771929825\)

Since, we only need the integer part;

\(Quotient = 17\)

None of the given options answer the question

If a logical vector z has at least one entry TRUE, the function all(!z) will always be false.

If a logical vector contains only TRUE items, the all() method returns FALSE; otherwise, it returns TRUE.

The any() function, on the other hand, gives a result of TRUE if a logical vector has at least one element that is TRUE and FALSE otherwise.

any(z) will always be TRUE if z contains at least one TRUE element since there is at least one TRUE element. On the other hand, depending on whether all of the components of z are TRUE, all(z) may or may not be TRUE.

any(!z) will always return FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.

Additionally, all(!z) will always return FALSE if any element is FALSE since if z has at least one TRUE element, then!z must include at least one FALSE element.

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Answer:

9x + 10 < 20

I tutor just trust its right

a) the dimension of its column space is also 2. b) the rank of A is 2. c) the nullity of matrix A is 1. d) the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

(a) The dimension of the row space of a matrix is equal to the dimension of its column space. So, if the dimension of the row space of matrix A is 2, then the dimension of its column space is also 2.

(b) The rank of a matrix is defined as the maximum number of linearly independent rows or columns in the matrix. Since the dimension of the row space of matrix A is 2, the rank of A is also 2.

(c) The nullity of a matrix is defined as the dimension of the null space, which is the set of all solutions to the homogeneous equation Ax = 0. In this case, the matrix A is a 3 x 3 matrix, so the nullity can be calculated using the formula:

nullity = number of columns - rank

nullity = 3 - 2 = 1

Therefore, the nullity of matrix A is 1.

(d) The dimension of the solution space of the homogeneous system Ax = 0 is equal to the nullity of the matrix A. In this case, we have already determined that the nullity of matrix A is 1. Therefore, the dimension of the solution space of the homogeneous system \(A_x = 0\) is also 1.

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Answer: 0.949

Step-by-step explanation:

I took the test

Answer:

x = 8

y = 53

Step-by-step explanation:

Sub y = x + 45 into the second equation

x + 45 = 5x + 13

Rearrange by collecting the like terms

45 - 13 = 5x - x

32 = 4x

Divide both sides by 4

x = 8

Sub x = 8 into first equation (y = x + 45)

y = 8 + 45

y = 53

A fraction is a part of a number or any number of equal parts, it is found that 531.25 as a mixed number would be 53100 25/100.

A fraction represents a part of a number or any number of equal parts.

There is a fraction, containing numerator(upper value) and denominator(lower value). When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction. The proper fraction is also called fraction which is less than 1. And an improper fraction is ≥ 1; A mixed fraction contains a sum of whole number and a proper fraction.

WE need to find the fraction form first;

531.25  = 531.25 /1

= 53125 /100

Then as a mixed fraction;

53125 /100

53100 25/100

A fraction is a part of a number or any number of equal parts, it is found that 531.25 as a mixed number would be 53100 25/100.

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Answer:

B) work backwards.

Step-by-step explanation:

Since they are asking for how much money he had at first and they displayed how much he spent without telling the amount of money at the start of the question, this is definitely a backwards question. For working backwards, you will need to do workings the opposite as what they said in the question.

Answer:

86 is the correct answer

Answer: 58

Step-by-step explanation:

From 10 AM to 1 PM the numbers are 161, 368, 842, and 1918

So now we find the difference between the numbers.

368 - 161 = 207

842 - 368 = 474

1918 - 842 = 1076

now it asked for the average so you add them together then divide by 3

which is (207+474+1076)/3 = 585.66666666....

Then it says to round to the nearest integer which is 586

Hey why not mark me as brainliest

The average increase between 10 AM and 1 PM is 586.

An average is a single number taken as representative of a list of numbers.

Given that, a microbiologist is studying A bacterial culture. Every hour, she counts the number of bacteria.

From 10 AM to 1 PM the numbers are 161, 368, 842, and 1918

The difference between the numbers.

368 - 161 = 207

842 - 368 = 474

1918 - 842 = 1076

Now it asked for the average, so you add them together then divide by 3

Which is (207+474+1076)/3 = 585.66666666....

Rounding to the nearest integer, we get 586

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Step-by-step explanation:

2x + 3 = x + 1

x + 3 = 1

x = -2

Answer:

x= -2

Step-by-step explanation:

2x+3=x+1

   -3     -3

------------------

2x = x - 2

-x    -x

----------------

x= - 2

Given:

Amount Marty spent per day = $3

Number of days = 14

Remaining amount = $68

Since the amount left depends on the number