Write the equation of the line in slope-intercept form The line is parallel to y + x =3 and passes through the point (-12, 0)

Answer:

I believe the answer is V = 2.56

Step-by-step explanation:

10.24 divided by 4 is 2.56. And 2.56 times 4 is 10.24.

Answer:

Final answer: 4000

Step-by-step explanation:

Check the attached image for explanation.

Answer:645yards

Step-by-step explanation:  1 foot is 0.33333333 and math also the Convert units tab in google

Answer:

3.LOOK AND  CHOOSE THE CORRECT SENTENCES

(1 Punto)

Does Daniela Works every day?

Do Daniela Work every day?

Does Daniela Work every day?

Did Daniela Work every day?

4.LOOK AND  CHOOSE THE CORRECT SENTENCES

(1 Punto)

Margarita don't brushes her car

Margarita doesn't brush her car

Margarita doesn't brushes her car

Margarita didn´t brush her car

5.LOOK AND  CHOOSE THE CORRECT SENTENCES

(1 Punto)

Do Camilo and Diana dances in the class?

Do Camilo and Diana dance in the class

Does Camilo and Diana dance in the class?

Do Camilo and Diana dance in the class?

6.LOOK AND CHOOSE THE CORRECT SENTENCES

(1 Punto)

You don't read a book

You don't reads a book

You doesn't read a book

7.LOOK AND CHOOSE THE CORRECT SENTENCES  

INTERROGATIVE  

____ he ___ better than you?

(1 Punto)

Does- plays

Does- play

Do- play

Do . plays

8.LOOK AND CHOOSE THE CORRECT SENTENCES  

NEGATIVE

It  ___ snow in summer.

(1 Punto)

doesn't

don't

9.LOOK AND CHOOSE THE CORRECT SENTENCES  

AFFIRMATIVE  

My cousin _____ English very well.

(1 Punto)

Speak

Speaking

Speaks

10.LOOK AND CHOOSE THE CORRECT SENTENCES  

AFFIRMATIVE  

We _____  our bikes

(1 Punto)

Wash

Washes

Washing

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Step-by-step explanation:

Answer:

52 m²

Step-by-step explanation:

12x3 = 36

2 x (11-3) = 2x8 = 16

36+16 = 52

Step-by-step explanation:

12 x 10 x 3 = 360

8 x 11 x 2 = 176

once you get the final amounts you add them to gather which is 536.

Hope This Helped You :)

Answer:

5.5

Step-by-step explanation:

12+6=18

18÷2=9

9-3.5=5.5

Answer: You use the method of pendas and in this case u gonna do first the division, then addition and last substract. first u do 6/2 = 3. Now that u had that answer you sum 3 + 12 = 15 - 3.5 = 11.5

The rate in pages per hour is 27 1/2 pages per hour.

In order to determine the rate at which Carrie reads per hour, divide the total number of pages read by the equivalent time in hours.

Rate = number of pages read / number of hours it tool

Number of hours = number of minutes / 60 = 12 / 60 = 1/5

5 1/2 ÷ 1/5

11/2 x 5 = 55/2 = 27 1/2 pages per hour

Here is the complete question:

Ms. Robinson gave her 12 minutes to read. Carrie read 5½ pages in that time. At what rate, in pages per hour, did Carrie read?

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To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

Answer:

As a simplified fraction, the probability that the first randomly taken candy will be red and second will be red again is \(\frac{2}{9}\)

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the candies are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

Desired outcomes:

2 candies from a set of 5. So

\(D = C_{5,2} = \frac{5!}{2!(5-2)!} = 10\)

Total outcomes:

2 candies from a set of 10. So

\(T = C_{10,2} = \frac{10!}{2!(10-2)!} = 45\)

Probability:

\(p = \frac{D}{T} = \frac{10}{45} = \frac{2}{9}\)

As a simplified fraction, the probability that the first randomly taken candy will be red and second will be red again is \(\frac{2}{9}\)

Solution :

It is given that we use CI = 95%

Therefore, the value of z = 1.96 as the \($P(-1.96 <z<1.96)=0.95$\)

Also, here it is given that E = 0.05 and the value of p = 0.25

Thus from the formula of E, we can find n

\($E= z \times \sqrt{\frac{pq}{n}}\)

\($n= \left(\frac{z}{E}\right)^2 \times p \times q$\)

\($n= \left(\frac{1.96}{0.05}\right)^2 \times 0.25 \times 0.75$\)

  = 288.12

  = 289

The midpoint of three points with the position vector 1/3(a + b + c) is given by:

P = (b + c - B - C) / 2 + (1/3)(b + c)

The point with the position vector 1/3(a + b + c) is given by:

P = F - (2/3)D - (1/3)E + (1/3)(b + c)

To find the point with the position vector 1/3(a+b+c), we can use the fact that the position vector of a point that divides a line segment in a given ratio can be found by taking the weighted average of the position vectors of the endpoints.

Given that D, E, and F are the midpoints of line segments BC, AC, and AB, respectively, we know that:

D = (B + C) / 2

E = (A + C) / 2

F = (A + B) / 2

To find the point with the position vector 1/3(a+b+c), we can substitute a = 3F - 2D - E into the equation:

1/3(a + b + c) = 1/3((3F - 2D - E) + b + c)

Expanding the equation further:

1/3(a + b + c) = 1/3(3F - 2D - E + b + c)

= (F - (2/3)D - (1/3)E) + (1/3)(b + c)

Therefore, the point with the position vector 1/3(a + b + c) is given by:

P = F - (2/3)D - (1/3)E + (1/3)(b + c)

Substituting the midpoints:

P = (A + B) / 2 - (2/3)((B + C) / 2) - (1/3)((A + C) / 2) + (1/3)(b + c)

= (A + B - 2B - 2C - A - C + b + c) / 2 + (1/3)(b + c)

= (b + c - B - C) / 2 + (1/3)(b + c)

Therefore, the midpoint of three points with the position vector 1/3(a + b + c) is given by:

P = (b + c - B - C) / 2 + (1/3)(b + c)

The point with the position vector 1/3(a + b + c) is given by:

P = F - (2/3)D - (1/3)E + (1/3)(b + c)

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The length of the ladder that is leaning on the building would be = 24ft. That is option B.

To determine the length of the ladder, the sine rule needs to be obeyed. That is

= a/sinA = b/sinB

Where;

a = 8.2 ft

A = 180-( 70+90

= 180- 160

= 20°

b = X

B = 90°

That is;

8.2/sin20° = b/sin90°

Make b the subject of formula;

b = 8.2×1/0.342020

= 23.9

= 24 ft

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The derivative of the function  f(x)= csch⁻¹(x²) is -2/x√1+x⁴

The given function is f(x)= csch⁻¹(x²)

We have to find the derivation of the hyperbolic function

d/dx f(x)= d/dx csch⁻¹(x²)

f(x)=csch⁻¹(x²)

We know that the derivative csch⁻¹x is -1/|x|√1+x²

Differentiate and apply the chain rule

=-1/|x²|√1+x⁴ d/dx (x²)

We know that d/dx (x²) = 2x as d/dx (xⁿ)=nxⁿ⁻¹

Apply these on the above function

= 2x/x²√1+x⁴

= -2/x√1+x⁴

Hence, the derivative of the function  f(x)= csch⁻¹(x²) is -2/x√1+x⁴

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Answer:

\(\text{A.} \quad \dfrac{-2}{x\sqrt{x^4+1}}\)

Step-by-step explanation:

Given inverse hyperbolic function:

\(f(x)=\text{csc\:h}^{-1}(x^2)\)

To find the derivative of the function, we can use the chain rule:

\(\boxed{\begin{minipage}{5.4 cm}\underline{Chain Rule for Differentiation}\\\\If $y=f(u)$ and $u=g(x)$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=\dfrac{\text{d}y}{\text{d}u}\times\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)

\(\textsf{Let}\;\;y = \text{csch}^{-1}(u)\;\; \textsf{where}\;\;u=x^2.\)

Differentiate the two parts separately.

Differentiate u with respect to x:

\(u = x^2 \implies \dfrac{\text{d}u}{\text{d}x}=x\)

Use the following derivative of hyperbolic functions to differentiate y with respect to u:

\(\boxed{\dfrac{\text{d}}{\text{d}x}\left(\text{csch}^{-1}x\right)=\dfrac{-1}{|x|\sqrt{x^2+1}}, \quad x \neq 0}\)

Therefore:

\(y = \text{csch}^{-1}(u)\implies \dfrac{\text{d}y}{\text{d}u}=\dfrac{-1}{|u|\sqrt{u^2+1}}\)

Put everything into the chain rule formula:

\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=\dfrac{\text{d}y}{\text{d}u}\times\dfrac{\text{d}u}{\text{d}x}\\\\&=\dfrac{-1}{|u|\sqrt{u^2+1}} \times 2x\\\\&=\dfrac{-2x}{|u|\sqrt{u^2+1}} \\\\&=\dfrac{-2x}{|x^2|\sqrt{(x^2)^2+1}} \\\\&=\dfrac{-2x}{|x^2|\sqrt{x^4+1}}\\\\&=\dfrac{-2x}{|x^2|\sqrt{(x^2)^2+1}} \\\\&=\dfrac{-2}{x\sqrt{x^4+1}}\end{aligned}\)

Therefore, the derivative of the given inverse hyperbolic function is:

\(\boxed{-\dfrac{2}{x\sqrt{x^4+1}}}\)

The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

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Altogether 50 adult tickets were sold and 175 student tickets were sold.

An equation of degree one is known as a linear equation.

A linear equation of two variables can be represented by ax + by = c.

Let, The number of adult tickets be 'x' and the number of students

ticket be  'y'.

Therefore, From the given information x + y = 225...(i) and 4x + 2y = 650...(ii)

Multiplying equation (i) by 2, we have 2z = 2y = 550 and subtracting it from

equation (ii) we have,

2x = 100.

x = 50 and y = 175.

So, 50 adult tickets were sold and 175 student tickets were sold.

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Using the probability concept, it is found that:

a) i) There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.

ii) There is a 0.849 = 84.9% probability that the first person selected is not in management.

b) The events are neither complementary nor mutually exclusive.

A probability is the number of desired outcomes divided by the number of total outcomes.

Item a:

In this problem, there is a total of 120 + 50 + 1460 + 302 + 68 = 2000 people.

\(p = \frac{118}{2000} = 0.059\)

There is a 0.059 = 5.9% probability that the first person selected is either in maintenance or a secretary.

Item ii:

2000 - 302 = 1698 people are not in management, hence:

\(p = \frac{1698}{2000} = 0.849\)

There is a 0.849 = 84.9% probability that the first person selected is not in management.

Item b:

If a person is either in maintenance or a secretary, they are also not in management, hence the events are neither complementary nor mutually exclusive.

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Following are the solution to the given points:

For point a:

i)

\(\to P(B \cup E) = P(B) + P(E) - P( B\cap E)\)

Where \(P(B \cap E) = 0\) because they are both separate occasions It is impossible to be a member of both departments.  

\(\to P(B\cup E) =\frac{50}{120 + 50 + 1460 + 302 + 68} +\frac{68}{120 + 50 + 1460+ 302 +68}\\\\\)

                    \(=\frac{50}{2000} +\frac{68}{2000}\\\\=\frac{50+68}{2000} \\\\=\frac{118}{2000} \\\\=\frac{ 59}{1000} \\\\=0.059\\\)

ii)

\(\to P(D^c) = 1 - P(D)\)

               \(=1- (\frac{302}{120+50+1460+302+68})\\\\=1- (\frac{302}{2000})\\\\=1- (\frac{ 151}{1000})\\\\= 1- 0.151 \\\\= 0.849\\\\\)

For point b:

Please find the attached file.

For point c:

Events in a. I are mutually incompatible since \(P(B \cap E) = 0\). One would be a part of the both departments.

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Daniela's graph of the function describing Monday's storm depicted the storm's temporal evolution, showcasing the changing intensity of rainfall, intermittent spikes, shifting wind direction, and overall duration. Analyzing the graph allowed Daniela to gain insights into the storm's behavior and better understand its impact on the area.

Daniela graphed the function describing Monday's storm and observed several key features. The graph displayed a rapid increase in precipitation during the early morning hours, with rain intensifying steadily until reaching its peak around midday. Afterward, the precipitation gradually subsided, leading to a decline in rainfall amounts throughout the afternoon and evening.

The graph exhibited a distinct pattern of fluctuation, reflecting the storm's dynamic nature. Intermittent spikes in rainfall were visible, indicating periodic bursts of heavy precipitation throughout the day. These spikes were followed by brief periods of relative calm, during which the rainfall decreased temporarily before resuming its intensity.

Furthermore, Daniela noticed a gradual shift in wind direction as the storm progressed. Initially, the wind blew from the east, but it gradually veered towards the south as the storm system moved across the region. The change in wind direction was evident on the graph, showing a gradual rotation of the wind vector over time.

The graph also revealed the storm's duration, spanning from the early morning hours until late evening. The rainfall accumulation steadily increased during the storm's initial phase and reached a maximum before gradually tapering off towards the end of the day.

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Answer: f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Step-by-step explanation: Using the given recursive formula:

f(1) = 0

f(n) = f(n-1) + 2

We can find the values of f(n) for different values of n:

f(1) = 0

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

f(5) = f(4) + 2 = 6 + 2 = 8

And so on.

We can see that each term in the sequence is 2 more than the previous term. So, we can write the general formula for f(n) as:

f(n) = 2n - 2

Therefore, we can use this formula to find the value of f(n) for any positive integer n.

Answer: 10

Step-by-step explanation:

Answer:

x < 6

Step-by-step explanation:

3x < 18 ( divide both sides by 3 )

x < 6

Answer: 36 oz box

Step-by-step explanation:

3.1/12=0.258333

7.9/360.291444

Thus, the 36 oz box is the better buy

The volume of the shape is 490cm³

A prism is a solid shape that is bound on all its sides by plane faces. prism is named after the shape of these bases.

The base of this prism is rectangular. The volume of a prism is expressed as;

V = base area × height

base area = 7 × 10 = 70cm²

height = 7cm

the volume of the shape = 70× 7 = 490cm²

therefore the volume of the shape is 490cm³.

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Answer:definition of a supplementary angle

Step-by-step explanation:

in order to get to the next step you need to state what equation you’re substituting for

Answer:

1711

Step-by-step explanation:

\(4\cdot(14+8)^2-9\cdot(9-4)^2\\=4\cdot(22)^2-9\cdot(5)^2\\=4(484)-9(25)\\=1936-225\\=1711\)

Make sure to follow order of operations!

Based on the outdoor stage designed by Marcella, the actual distance between B and C is 14 feet.

The coordinates of B are:

(7, 7)

The coordinates of C are:

(1, -6)

The distance between B and C is therefore:

= √((1 - 7)² + (-6 - 7)²)

= √((-6)² + (-13)²)

= √(36 + 169)

= √205

= 14 feet

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The probability that the animal's weight will be less than 151 pounds is 0.50.

The correct option is B.

Since the given probability distribution ranges from 148 to 152, and we need to find the probability that the animal's weight will be less than 151 pounds, we can add the probabilities corresponding to the weights less than 151.

From the distribution, we see that the probability of the animal's weight being less than 151 pounds is 0.2 + 0.3 = 0.5.

Therefore, the answer is O 0.50.

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The value of a is 5, b is 4, c is 0, d is 3, e is 6 and R is 6 after following the long division method.

According to the question,

We have to divide 430 by 8 by following the long division method.

Note that when we follow long division method then the number by which we are dividing (divisor) is to be multiplied in such a way that the result remains less than the number in the dividend.

Now, we will solve it step by step.

In dividing 43 by 8, we have to multiply 8 by 5. Then, we get 40.

So, we have a = 5, b = 4 and c = 0.

Now, after this we have 30 and the number that we get after multiplication is 24. So, 3 has to be multiplied in 8 to get 24.

So, we have d = 3.

Now, when we will subtract 24 from 30, we will get 6.

So, we have e = 6.

And e is also the remainder, R. So, we have R = 6.

Hence, the values of a, b, c, d, e, and R are 5, 4, 0, 3, 6, and 6 respectively.

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2 cups you need to fill the jug to 4.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

It depends on the size and markings of the jug.

If we assume that the jug is divided into equal intervals and each interval represents an equal volume,

then we can say that filling the jug to the second interval means that the jug is 1/2 full.

To fill the jug to the fourth interval, we need to fill the remaining 2 intervals, which means we need to add another 2 cups of liquid.

So, the answer is 2 cups.

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