What is the slope of (0,4) and (3,10)? Please helppppp a girl outt !

Answer:

B and C

Step-by-step explanation:

To find the perimeter of a shape, you basically just add the sides together.

For example, B is 8 + 4 = 12, and A is 6 + 6 = 12

The option that can be used to verify the trigonometric identity, \(tan\left(\dfrac{x}{2}\right)+cot\left(x \right) = csc\left(x \right)\) is option C;

C. \(tan\left(\dfrac{x}{2} \right) + cot\left(x \right) = \dfrac{1-cos\left(x \right)}{sin\left( x \right)} +\dfrac{cos \left(x \right)}{sin\left(x \right)} =csc\left(x \right)\)

A trigonometric identity is an equations that consists of trigonometric functions that remain true for all values of the argument of the functions

The specified identity is presented as follows;

\(tan\left(\dfrac{x}{2} \right)+cot(x)=csc(x)\)

The half angle formula for tangent indicates that we get;

\(tan\left(\dfrac{1}{2} \cdot \left(\eta \pm \theta \right) \right) = \dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}\)

\(\dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}=\dfrac{sin \left(\eta\right) \pm sin\left(\theta \right)}{cos \left(\eta \right) + cos \left(\theta \right)} = -\dfrac{cos \left(\eta\right) - cos\left(\theta \right)}{sin \left(\eta \right) \mp sin \left(\theta \right)}\)

When η = 0, we get;

\(-\dfrac{cos \left(0\right) - cos\left(\theta \right)}{sin \left(0 \right) \mp sin \left(\theta \right)}=-\dfrac{1 - cos\left(\theta \right)}{0 \mp sin \left(\theta \right)}=\dfrac{1 - cos\left(\theta \right)}{sin \left(\theta \right)}\)

Therefore;

\(tan\left(\dfrac{x}{2} \right)=\dfrac{1 - cos\left(x \right)}{sin \left(x \right)}\)

\(cot\left(x \right) = \dfrac{cos(x)}{sin(x)}\)

\(tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}\)

\(\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1-cos(x)+cos(x)}{sin(x)} = \dfrac{1}{sin(x)}\)

\(\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1}{sin(x)}=csc(x)\)

Therefore;

\(tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)} = csc(x)\)

The correct option that can be used to verify the identity is option C

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Megan earned £158,900 before tax last year. Her total tax bill was £53,205, which was calculated by finding the tax on each part of her earnings within different tax brackets and adding them up.

A rate is a measure of how one quantity changes in relation to another quantity. It is usually expressed as a ratio of two different units, such as miles per hour or dollars per pound. Rates can be used to compare different values and to make predictions about future outcomes. Common examples of rates include interest rates, exchange rates, and tax rates.

To calculate Megan's tax bill, we need to find the tax on each part of her earnings that falls within the different tax brackets, and then add them up.

For the first £11,000 of Megan's earnings, there is no tax.

For the next £32,000 of Megan's earnings (from £11,001 to £43,000), the tax rate is 20%, so the tax on this portion of her earnings is:

0.2 x 32,000 = £6,400

For the next £107,000 of Megan's earnings (from £43,001 to £150,000), the tax rate is 40%, so the tax on this portion of her earnings is:

0.4 x 107,000 = £42,800

For the portion of Megan's earnings over £150,000, the tax rate is 45%, so the tax on this portion of her earnings is:

0.45 x 8,900 = £4,005

Therefore, Megan's total tax bill is:

£6,400 + £42,800 + £4,005 = £53,205

So, Megan paid £53,205 in total tax for the last year.

Therefore, Megan earned £158,900 before tax last year. Her total tax bill was £53,205, which was calculated by finding the tax on each part of her earnings within different tax brackets and adding them up.

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Answer:

I think your answer is 85. The 50 degree angle on the left side of E is equal to the angle to the right of E. Since both triangles have equivalent angle measurements, D and B are correspondent of one another. Add the 50 degrees to the 45 degrees to get 95. Since triangles total measurements equal 180, subtract 95 from 180 to get 85. Angle D = 85, and since Angle B is correspondent, Angle B = 85°

Answer:

D

Step-by-step explanation:

Answer:

dp/dt = 0.02P-N

Step-by-step explanation:

\(\frac{p(t+t)}{nt}\)

The differential equation that describes the relationship between P and t is:

dP/dt = rP - N

where P is the balance in dollars, t is time in years, r is the annual interest rate, and N is the rate of withdrawals in dollars per year.

A differential equation is an equation that relates an unknown function to its derivatives (or differentials) with respect to one or more independent variables. In other words, it is an equation that involves derivatives of an unknown function.

The rate of change of the balance P in the bank account is equal to the difference between the rate of interest earned on the account and the rate at which money is withdrawn from the account.

The rate of interest earned on the account is given by the continuous compounding formula:

dP/dt = rP

where r is the annual interest rate, P is the balance in dollars, and dP/dt is the rate of change of P with respect to time.

On the other hand, the rate at which money is withdrawn from the account is given by the expression:

dN/dt = N/T

where N is the rate of withdrawals in dollars per year, and T is the time interval in years between withdrawals.

If we assume that Ana withdraws money from the account continuously at a rate of N dollars per year, we can write:

N = dN/dt

Substituting this into the first equation, we get:

dP/dt = rP - dN/dt

Substituting the expression for dN/dt, we get:

dP/dt = rP - N/T

Simplifying, we get:

dP/dt = rP - N

which is the differential equation that describes the relationship between P and t.

The differential equation

dP/dt = rP - N

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Answer:

Perimeter = 54.6 cm

Area = 173 cm²

Step-by-step explanation:

sin 30 = x/20

x = 10

cos 30 = y /20

y = 17.3

perimeter = 10 + 17.3 + 10 + 17.3 = 54.6 cm

area = 10 * 17.3 = 173 cm²

Let x and y be the amounts (in mL) of the 4% and 15% solutions, respectively, that the scientist needs to use.

He wants to end up with a 44 mL solution, so

x + y = 44 mL

Each milliliter of 4% solution contains 0.04 mL of acid, while each mL of 15% contains 0.15 mL of acid. The resulting solution should have a concentration of 12%, so that each mL of it contains 0.12 mL of acid. Then the solution will contain

0.04x + 0.15y = 0.12 × (44 mL) = 5.28 mL

of acid.

Solve for x and y. In the first equation, we have y = 44 mL - x, and substituting into the second equation gives

0.04x + 0.15 (44 mL - x) = 5.28 mL

0.04x + 6.6 mL - 0.15x = 5.28 mL

1.32 mL = 0.19x

x ≈ 6.95 mL

==>   y ≈ 37.05 mL

Answer:

Ok, i will answer in English.

The first step is to know that when we have a linear equation like:

y = a*x + b

any line with a slope equal to -1/a will be perpendicular to our line.

So first let's write our equation in the standard form:

4x + 6y - 6 = 0

6y = -4x + 6

y = (-2/3)*x + 1

then the slope is (-2/3)

then the slope of the perpendicular line will be:

-(1/(-2/3)) = 3/2

So the only thing any line with the equation:

y = (3/2)*x + c

where c can be any real number, is perpendicular to 4x+6y-6=0

Which of the following words could be used to describe the function within the interval labeled R?

linear equation y=mx+b

_______________

Answer B and D

Answer:

1. ( 267) A 90)

Step-by-step explanation:

234 5674

5633 772892

733738)=/;:'&

Answer:

y = (ln x) / (ln 6)

Step-by-step explanation:

1.  Exchange x and y:  x = 6^y

2. Solve for y:  Take the natural log of both sides:

                         ln x = y ln 6

             Then:  y = (ln x) / (ln 6)

Note:                 y = (log x) / (log 6) is also correct

There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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The expanded form of 12³ is given as follows:

12³ = 12 x 12 x 12 = 1728 cubic feet.

The volume of a cube of side length a is given by the cube of the side length, as follows:

V(a) = a³.

This expression is equivalent to multiplying the side length of the object by itself twice, as follows:

V(a) = a x a x a.

The side length for this problem is given as follows:

a = 12 feet.

Hence the volume of the cube is given as follows:

V = 12³ = 1728 feet³.

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Answer:

Step-by-step explanation:

4/mx

From the problem, we have a triangle with base of 15 cm and a height of 18 cm.

The area of the triangle is :

where b = base and h = height.

Using the formula above, the area will be :

The answer is 135 cm^2

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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Answer:

Step-by-step explanation:

Formula

SA = 2*L*w + 2*L*h + 2*h*w

Givens

L =  15

w = 5

h = 3

Solution

SA = 2*15*5 + 2*15*3 + 2*5*3

SA = 150 + 90 + 30

SA = 270 cm^2

A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

How to determine the amount of carpet needed for a rectangular room?

To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.

The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),

18 feet ÷ 3 feet/yard = 6 yards

So the dimensions of the room in yards are 10 yards by 6 yards.

To find the total area of the room, we need to multiply the length and width,

10 yards × 6 yards = 60 square yards

Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

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The formula that finds the probability that a point on the grid below will be in the blue area is represented by the option:

P (blue) = StartFraction number of blue squares over the total number of squares EndFraction.

The probability = 1/2.

The probability of an event defines the chance of the occurrence of that event. It is given by the ratio of the total number of outcomes favorable to the event to the total number of outcomes in the experiment.

If we suppose an event to be A, the total number of possible outcomes favorable to A be n, and the total number of outcomes in the experiment be S, then the probability of event A can be given as:

P(A) = n/S.

In the question, we are asked to find the formula that defines the probability that a point on the grid will be in the blue area, where the grid contains 20 squares, 10 of them being shaded blue.

We take the event that the chosen point is in the blue area as A.

The total number of outcomes favorable to this event A can be given by n, which will be equal to the number of blue squares = 10

The total number of outcomes in the experiment can be given by S, which will be equal to the number of squares = 20.

Now, the formula for the probability of event A can be written as

P(A) = n/S = 10/20 = 1/2.

The formula that finds the probability that a point on the grid below will be in the blue area is represented by the option:

P (blue) = StartFraction number of blue squares over the total number of squares EndFraction.

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The trigonometric equations has the following solutions: x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

In this problem we find the case of a trigonometric equation, whose solutions on the interval [0, 2π] must be found. This can be done by both algebra properties and trigonometric formulae. First, write the entire expression:

tan² x · sec² x + 2 · sec² x - tan² x = 2

Second, use trigonometric formulas to reduce the number of trigonometric functions:

tan² x · (tan² x + 1) + 2 · (tan² x + 1) - tan² x = 2

Third, expand the equation:

tan⁴ x + tan² x + 2 · tan² x + 2 - tan² x = 2

tan⁴ x + 2 · tan² x = 0

Fourth, factor the expression:

tan² x · (tan² x - 2) = 0

tan² x = 0 or tan² x = 2

tan x = 0 or tan x = ± √2

Fifth, determine the solutions to trigonometric equation:

x = 0 + j · π or x = 0.352π + j · π or x = - 0.352π + j · π, where j is a non-negative whole number.

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Answer: 6$

Step-by-step explanation: 5 divided by 10 = 2$ so 3 x 2 = 6

I do not hold responsibility if you get it wrong :(

Answer:

Their are 166 students

are brought food

According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.

Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.

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Answer:

y = -194x + 3850

Step-by-step explanation:

slope intercept form

y = mx + b

info from question:
. slope = -194

. five years later same school has 3850 students

Hope this helps!

- vo

Answer:

The temperature at 8:00 p.m. is greater than the temperature at 8:00 a.m. because 15 is farther to the right on a horizontal number line than -12.

Step-by-step explanation:

The temperature at 8:00 p.m. is greater than the temperature at 8:00 a.m. because 15 is farther to the right on a horizontal number line than -12. Therefore, option B is the correct answer.

Given that, a meteorologist records the temperatures throughout the day in Chicago, Illinois.

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

Compare the temperature at 8:00 a.m. to the temperature at 8:00 p.m.

Here,

The temperature at 8:00 p.m. is greater than the temperature at 8:00 a.m.

The difference between the temperatures is 15-(-12)=27° C

The temperature at 8:00 p.m. is greater than the temperature at 8:00 a.m. because 15 is farther to the right on a horizontal number line than -12. Therefore, option B is the correct answer.

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Answer:

4, 2, 9, 3, 6

Step-by-step explanation:

756/4= 189

756/2= 378

756/9= 84

756/25= 30.24

756/5= 151.2

756/8= 94.5

756/10= 75.6

756/3= 252

756/6= 126

Each sampling distribution becomes more leptokurtic as sample sizes increase due to a reduction in its variety. The sampling distribution's range is smaller than the initial population's range.

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