Determine all values of x for which the following function is discontinuous:
f(x)=( matrix x+2 (x+1)^ 2 &if x ne-1\\ 2& ifx = - 1 matrix ).

Answer:

the answer to this question is 1/4

Answer:

jgcoyc9t9yf9ycrcuflc

Answer:

$2.92

Step-by-step explanation:

Divde $11.67 by the 4 gallons that Dennis bought.

11.67/4=2.9175

round to the nearst cent (or hundreths place)

since 7 is greater than 5, it rounds up

$2.92

Answer:

\(y=-\dfrac{8}{x}\)

Step-by-step explanation:

Inverse proportions can be represented by an equation in the form:

\(\boxed{y=\dfrac{k}{x}}\)

where:

To write an expression for the graphed function, first input the given point (-2, 4) into the inverse proportion equation and solve for k:

\(\implies y=\dfrac{k}{x}\)

\(\implies 4=\dfrac{k}{-2}\)

\(\implies 4 \cdot (-2)=\dfrac{k}{-2}\cdot (-2)\)

\(\implies -8=k\)

\(\implies k=-8\)

Therefore, the expression for the graphed function is:

\(\boxed{y=-\dfrac{8}{x}}\)

Answer:

40

Step-by-step explanation:

60-20=40

Bern has 60. Delhi has 20. Subtracting those =40

When printing a newspaper, you are most likely to use a line screen setting of 85 lpi (lines per inch).

The correct answer is (b) 1. Relative frequencies should add up to 1.

In statistics, relative frequency refers to the proportion of times an event or category occurs relative to the total number of observations or occurrences. It is calculated by dividing the frequency of a specific event or category by the total number of observations. Since the relative frequency represents a proportion, it should add up to 1 or 100% when expressed as a percentage.

For example, if we have a dataset with 100 observations and we are interested in the relative frequency of two categories, A and B, let's say the relative frequency of A is 0.4 and the relative frequency of B is 0.6. When we add these two relative frequencies together (0.4 + 0.6), we get 1, which indicates that we have accounted for the entire dataset.

The sum of relative frequencies being equal to 1 is a fundamental property that ensures the completeness of the data. It guarantees that all the observations or occurrences have been accounted for and that the relative frequencies represent a valid representation of the dataset. Therefore, option (b) is the correct answer.

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Answer:

27

Step-by-step explanation:

The formula is pq/2. If you plug in your values, you will get 27.

Answer:

-12x -15

Step-by-step explanation:

3(-4x-5)

3*-4x -3*5

-12x -15

Answer:

-12x-15

Step-by-step explanation:

expand and simplify

-12x-15

Answer:

Add 9.6, then divide by 3.2.

Step-by-step explanation:

hope this helps and is right. p.s i really need brainliest :)

Answer:

Iready huh anyways

The last one

Step-by-step explanation:

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Answer:

The line intercepts at 0,1 and 0.5,0

Step-by-step explanation:

Step-by-step explanation:

\(perimeter = 82 \: inches \\ perimeter = 2l \: + 2w \\ = 2l + 2(15 + l) \\ 82 = 2l + 30 + 2l \\ 82 - 30 = 4l \\ 52 = 4l \\ \frac{52}{4} = \frac{4l}{4} \\ l = 13 \\ w = 23 \\ \\ check \\ perimeter \: = 2l + 2w \\ = 2(13) + 2(28) \\ = 26 + 56 \\ = 82\)

The value of Hope's car decreased by 82%. Therefore, the correct answer choices are:

A. Decreased.

A. 82%.

In Mathematics and Statistics, a physical asset such as a car that decreases at a specific period of time represent an exponential decay. This ultimately implies that, a mathematical model for any population or physical asset that decreases by r percent per unit of time is an exponential equation of this form:

\(P(t) = I(1 - r)^t\)

Where:

By substituting given parameters, we have the following:

\(A = 19,995(0.82)^t\)

By comparison, we have:

Rate of change per unit interval, r = 0.82 = 82%.

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Answer: x=5

Step-by-step explanation:

pretty sure its C. please tell me if I'm wrong. I'm so sorry if it is wrong.

The relative risk of being alive at 5-years after diagnosis associated between white men and black men is 2.03.

In the US, among a representative group of 6,006 white men and 1,126 black men, ages 70-79 years at diagnosis of stage IV prostate cancer: 2,337 white men and 344 black men were alive after 5 years of follow-up.

In order to calculate the relative risk of being alive at 5-years after diagnosis associated between white men and black men, we can use the following formula:

Relative risk = [ (number of white men alive after 5 years) / (total number of white men) ] ÷ [ (number of black men alive after 5 years) / (total number of black men) ]

Therefore, substituting the values given in the formula we get;

[ (2,337) / (6,006) ] ÷ [ (344) / (1,126) ] = 0.63 ÷ 0.31 = 2.03

Therefore, the relative risk of being alive at 5-years after diagnosis associated between white men and black men is 2.03.

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The system of inequalities can be given as

\(a+y\geq 13\\3a+1.5y\leq 30\)

Inequality is the relationship between two or more expressions or values that are not equal to one another.

We are informed that the bakery charges $3 for each cupcake and $1.5 for each donut.

If a represents the quantity of cupcakes bought and y the quantity of donuts bought

A total of 13 products had to be purchased.

Equations can be given as

\(a+y\geq 13\\3a+1.5y\leq 30\)

On graphing the inequalities we get

The intersection of the two inequalities is the required region

For our convenience we consider (2,14) That is 2 cupcakes are 14 donuts

The total cost is 3(2)+1.5(14)=27

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In geometry, two figures/objects are congruent if they have the same shape and size

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I hope this helps you!! ‘٩꒰｡•◡•｡꒱۶’

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- Cherry *･.｡

The angle between string and horizontal decreases at the rate of 0.02 rad/sec

A kite 100 ft above the ground moves horizontally at a speed of 8 ft/s.

The horizontal decreasing when 200 ft of string have been let out.

We have to find out at what rate is the angle changing means \($\frac{\mathrm{d} \theta}{\mathrm{dt}}$\)

Given, \($$\frac{\mathrm{dx}}{\mathrm{dt}}=8$$\)

from figure\($\therefore \tan \theta=\frac{100}{\mathrm{x}}$, and $\sec \theta=\frac{200}{\mathrm{x}}$\)

Differentiating w.r.tt, we get

\($$\begin{aligned}& \sec ^2 \theta \frac{\mathrm{d} \theta}{\mathrm{dt}}=-\frac{100}{\mathrm{x}^2} \frac{\mathrm{dx}}{\mathrm{dt}} \\& \left(\frac{200}{\mathrm{x}}\right)^2 \frac{\mathrm{d} \theta}{\mathrm{dt}}=-\frac{100}{\mathrm{x}^2} \frac{\mathrm{dx}}{\mathrm{dt}} \\& \frac{40,000}{\mathrm{x}^2} \frac{\mathrm{d} \theta}{\mathrm{dt}}=-\frac{100}{\mathrm{x}^2} \times 8 \\& \frac{\mathrm{d} \theta}{\mathrm{dt}}=-\frac{800}{40,000} \\& =-0.02\end{aligned}$$\)

Therefore, the the angle (in radians) between the string and the horizontal is \(-0.02\).

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Answer:

\(2ab^{(-6)}\)

Step-by-step explanation:

Multiply exponents/group exponents

\(2ab^{(-2)} \times b^{(-4)}\\2ab^{-2 + -4}\\2ab^{-6}\)

The numerical length of vw is 9.

To determine the numerical length of vw, we need to find the magnitude of the vector vw. We can use the distance formula, which states that the magnitude of a vector (a, b) is given by the square root of (a^2 + b^2).

Given vw = 4x - 7, we can substitute x = wx + vx to express vw in terms of wx and vx:

vw = 4(wx + vx) - 7

= 4(3 + vx) - 7

= 4(3 + 5x + 1) - 7

= 4(5x + 4) - 7

= 20x + 16 - 7

= 20x + 9

Now, we can find the magnitude of vw by substituting x = 0:

|vw| = |20(0) + 9|

= |9|

= 9

Therefore, the numerical length of vw is 9.

The numerical length of vw is determined to be 9 units using the given information and the distance formula for vectors.

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(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression.  The correct is option (C).

The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).

We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .

Let us simplify the given expression.

((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)

Now, we need to compare this expression with the expressions given in the answer choices.

Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.

Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.

Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.

Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).

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Answer:

a

Step-by-step explanation:

When the measurement scale provides information regarding greater than or less than, but not how much greater or less, it is in the form of ordinal data.

Ordinal data is a type of categorical data, which is a type of data that fits into discrete categories, such as gender, or levels of education. Ordinal data does not provide numerical values for comparison, only information on the order of the categories.

For example, a survey may ask respondents to rate their opinion of a product on a scale of one to five. The scale provides information on the order of the categories (one being least favorable and five being most favorable), but it does not provide numerical values that can be used to calculate the average opinion of the product.

Mathematically, ordinal data is usually represented using an ordered set of numbers, with each number representing the order of the categories. For example, the survey mentioned above would be represented this way: 1, 2, 3, 4, 5. This set of numbers can then be used to calculate the median, mode, and range of the data. For example, the median value of the example survey would be 3, the mode would be 5, and the range would be 4 (5 - 1 = 4).

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When a positive point charge q is placed at point P, it produces an electric field at all points surrounding it. Electric fields are defined as the forces that a charged particle experiences when placed in the vicinity of other charged particles, and they are also called the Coulomb forces.

The electric field generated by the point charge is measured by the force it exerts on a small test charge placed at a distance r from the point charge.

This force is given by Coulomb's law, which states that the magnitude of the force between two charges is proportional to the product of the charges and inversely proportional to the distance between them.

The electric field is a vector quantity and is given by the force experienced by the test charge divided by the magnitude of the test charge.

It is represented by an arrow, with the direction of the arrow indicating the direction of the electric field at that point.

The electric field generated by a positive point charge is radially outward from the charge, which means that it points away from the charge in all directions.

This is because a positive charge repels other positive charges and attracts negative charges, and therefore, a test charge would be pushed away from the positive point charge and towards negative charges, resulting in a radially outward electric field.

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Step-by-step explanation:

if y = 9x - 4, then we can substitute y for equation 8x + 6y = 15. It's equal to :

y = 9x - 4

8x + 6y = 15

=> 8x + 6(9x - 4) = 15

Correct Option : D

Subject : Mathematics

Level : JHS

Chapter : Linear Equations

According to the given table and equation:-

When the number of classes is 7, football is less expensive.

When number of classes is greater than 7, basketball is less expensive.

A declaration (indicated by the sign =) that the values of two mathematical expressions are equal.

It contains an equals sign (=) and typically consists of variables, constants, and mathematical operations.

The purpose of an equation is to express a relationship between the two expressions on either side of the equals sign.

Football Program:

Number of Classes                    Total Cost ($)

1                                                          15

2                                                         30

3                                                         45

4                                                         60

7 105 (less expensive than basketball program for 7 classes)

Basketball Program:

y = 9a + 10

Number of Classes                   Total Cost ($)

1                                                         19

2                                                        28

3                                                        37

4                                                        46

5                                                        55

6                                                        64

7                                                         73 (more expensive than football  

                                                                     program for 7 classes)

8                                                         82

9                                                         91

... and so on.

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In the expression 5 - (m/n) - 2 - 8(m + n), we can describe the different parts using the following terms:

1.) Factor: The expression (m/n) can be described as a factor of the first term, 5 - (m/n).

2.) Product: The expression 8(m + n) can be described as a product of 8 and the sum (m + n).

3.) Quotient: The expression (m/n) can also be described as a quotient of m divided by n.

4.) Sum: The expression (m + n) can be described as a sum of the variables m and n.

5.) Difference: The expression 5 - (m/n) - 2 can be described as a difference between the first term (5 - (m/n)) and the constant 2.

Answer:

1.) Factor: The expression (m/n) can be described as a factor of the first term, 5 - (m/n).

2.) Product: The expression 8(m + n) can be described as a product of 8 and the sum (m + n).

3.) Quotient: The expression (m/n) can also be described as a quotient of m divided by n.

4.) Sum: The expression (m + n) can be described as a sum of the variables m and n.

5.) Difference: The expression 5 - (m/n) - 2 can be described as a difference between the first term (5 - (m/n)) and the constant 2

Step-by-step explanation:

Answer:

6 free throws

Step-by-step explanation:

you do 120 divided by 0.05 (which is 5 percent in decimal form) and get 6.