The sides of a square are 3 cm long. One vertex of the
square is at (2.0) on a square coordinate grid marked in
centimeter units. Which of the following points could
also be a vertex of the square?
F. (-4, 0)
G. (0.1)
H. 1.-1)
J. (4. 1)
K. (5.0)

The price at which the total quantity supplied is 250 is $11.58.

In order to find the price at which the total quantity supplied is 250, we need to equate the total quantity supplied by both producers (Supply 1 and Supply 2) and solve for the price.

Supply 1: P = 6 + 0.7Q

Supply 2: P = 16 + 0.6Q

To find the equilibrium price, we set the total quantity supplied equal to 250:

0.7Q + 0.6Q = 250

1.3Q = 250

Q = 250 / 1.3 ≈ 192.31

Now that we have the quantity, we can substitute it back into either supply function to find the price. Let's use Supply 1:

P = 6 + 0.7Q

P = 6 + 0.7 * 192.31

P ≈ 6 + 134.62

P ≈ 140.62

Therefore, the price at which the total quantity supplied is 250 is approximately $11.58.

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Therefore, in about 15 years and 2 months, the senior class will have about 100 students.

An equation is a statement that expresses the equality of two mathematical expressions using mathematical symbols such as variables, numbers, and mathematical operations. The equality is represented by an equal sign "=" between the two expressions. Equations are used to represent mathematical relationships and solve problems in various fields such as physics, chemistry, engineering, and economics.

Given by the question.

Let P be the initial population of the senior class in the high school, and r be the rate of decrease in population per year (in decimal form).

Then, we can write the following equation to represent the situation:

P\((1-r)^{n}\) = 100

We know that the current population of the senior class is 320, so we can substitute these values into the equation:

320\((1-0.07)^{n}\) = 100

Simplifying the equation, we get:

\(0.93^{n}\) = 0.3125

Taking the natural logarithm of both sides, we get:

n ln (0.93) = ln (0.3125)

Dividing both sides by ln (0.93), we get:

n = ln (0.3125) / ln (0.93)

Using a calculator, we find that n is approximately equal to 15.21 years.

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To find the equation of the tangent line to the graph of the equation π arctan(x + y) = y² at the point (1, 0), we can use implicit differentiation.

Differentiating both sides of the equation with respect to x:

d/dx [π arctan(x + y)] = d/dx [y²]

Using the chain rule and the derivative of arctan:

π 1/(1 + (x + y)²) (1 + y') = 2y y'

Now, we substitute the point (1, 0) into the equation to find the slope of the tangent line:

π 1/(1 + (1 + 0)²) (1 + y') = 2(0) y'

π 1/2 * (1 + y') = 0

1 + y' = 0

y' = -1

So, the slope of the tangent line at the point (1, 0) is -1. Now, we can find the equation of the tangent line using the point-slope form:

y - y₁ = m(x - x₁)

Plugging in the values (x₁, y₁) = (1, 0) and m = -1:

y - 0 = -1(x - 1)

y = -x + 1

Therefore, the equation of the tangent line to the graph of the equation π arctan(x + y) = y² at the point (1, 0) is y = -x + 1.

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Answer:

WXY = 90

XZY = 45

YXZ = 45

WRZ = 90

XWY = 45

the graph will contain all the plane which is less than or equal to 7

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

The given inequality is k−7≤0

k ≤ 7

Hence the graph will contain all the plane which is less than or equal to 7.

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Answer:

So 16^3/4 = (the fourth root of 16)^3

Step-by-step explanation:

Initially, we know that 16^3/4 = 8

However, that is not what the question is asking, we need to rewrite 16^3/4 in radical form.

An important point to note is that radical form involves the use of surds, or roots.

Thus, the formula we need to use is this:

a^b/c = (the cth root of a)^b

For example:

8^2/3 = (the cube root of 8)^2

So 16^3/4 = (the fourth root of 16)^3

Mckenzie's Work is correct in finding the missing side of the right angled triangle.

Pythagoras theorem is used to show the relationship between the sides of a right angle triangle. It is given by:

Hypotenuse² = Adjacent side² + Opposite side²

From the right angle:

a² + b² = c²

c² = 13² + 5²

c² = 25 + 169

c² = 194

c = 13.93

Mckenzie's Work is correct in finding the missing side of the right angled triangle.

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Step-by-step explanation:

The given number is 7,594,000,000.

To convert it into scientific notation,

First move the decimal point places to the left to find a number that is greater than or equal to 1 and less than 10. Then multiply by 10 , using an exponent on 10 that equals the number of places you moved the decimal. The exponent is negative if the original no was <1 and the exponent is positive, if the original number was  > 1.

In 7,594,000,000, we move the decimal point places to the left before 5. It means we have moved 9 digits left.

Hence, \(7,594,000,000=7.59\times 10^9\) is the scientific notation.

The derivative dy/dt when the x coordinate's rate of change 18 feet is 13.5 feet.

Given,

The radius of the circular track in which the jogger runs = 70 feet

The coordinates of the jogger = (42, 56)

The rate of change in x coordinate = 18 feet/sec

Let (x,y) be the coordinates

We have to find dy/dt;

Then we know x,y satisfies the equation of the circle as

x² + y² = 70²

Let us differentiate this implicit function with respect to t

2x dx/dt + 2y dy/dt = 0

At this point, dx/dt 18 and x = 42. y = 56

Substitute to have

2 × 42 × 18 + 2 × 56 dy/dt = 0

1512 + 112 dy/dt = 0

dy/dt = 1512/112

dy/dt = 13.5 feet

Therefore,

The derivative dy/dt here is 13.5 feet

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Answer:

10x + x^4/x-2

Step-by-step explanation:

Combine like terms

(10x + x^4)/(x-2)

False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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Answer:

Step-by-step explanation:

El señor de las moscas trataba de dos personas que estaban enamoradas y no podían superarse y creo que eres estúpido

def

b

Answer:

STOP MAKIN FUNNY THINGS

Step-by-step explanation:

Answer:

3333.4

Step-by-step explanation:

bc i said so

Answer:

ion lolz 7.4

Step-by-step explanation:

Answer:

β = (-0.19 dB).

Step-by-step explanation:

The formula which is used to calculate the decibel level of a sound is given by :

\(\beta=10\log (\dfrac{I}{I_o})\)

I is intensity of the sound of a ticking clock

\(I_o=10^{-12}\\) watts per square meter

Since, \(1\ \text{inch}^2=\dfrac{1}{1550}\ \text{m}^2\)

The intensity of a monster truck is converted into per square meter as follows:  

\(10^{-9}\ {W/in^2}= \dfrac{10^{-9}}{1550}\ W/m^2\\\\10^{-9}\ {W/in^2}=6.45\times 10^{-13}\ W/m^2\)

So, Decibal level is :

\(\beta=10\log (\dfrac{6.45\times 10^{-13}}{10^{-12}})\\\\\beta =-0.19\ dB\)

So, the decibel level of the sound of a ticking clock is (-0.19 dB).

Answer:

30dB

Step-by-step explanation:

If adult tickets sold for $2.00 and children's tickets sold for $1.50, 225 adult tickets and 500 children's tickets were sold.

Let x be the number of adult tickets sold and y be the number of children's tickets sold. We can set up a system of equations to represent the given information:

x + y = 725 (equation 1)

2x + 1.5y = 1200 (equation 2)

In equation 1, we know that the total number of tickets sold is 725. In equation 2, we know that the total revenue from ticket sales is $1200, with adult tickets selling for $2.00 each and children's tickets selling for $1.50 each.

To solve for x and y, we can use either substitution or elimination method. Here, we will use the elimination method.

Multiplying equation 1 by 2, we get:

2x + 2y = 1450 (equation 3)

Subtracting equation 3 from equation 2, we get:

-0.5y = -250

Solving for y, we get:

y = 500

Substituting y = 500 into equation 1, we get:

x + 500 = 725

Solving for x, we get:

x = 225

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False.

Dialtions change the size of the figure but does not change the angles

Answer:

i think it is false

Step-by-step explanation:

Given the equation below,

To find the maximum point, dy/dt = 0.

Differentiating the equation above,

Where dy/dt = 0,

Substituting for t into the equation, maximum height is'

Hence, the maximum height of the football is 64 ft.

The vertex form is to be used which is given below as,

Where (h, k) represents the coordinate of the vertex and k is the maximum height.

Answer:

Height = 11 inches

Base = 33 inches

Step-by-step explanation:

In this question, we are asked to find the height and base of a parallelogram given the area of the parallelogram.

From the question, we are told that height is 1/3 of base. This means that base is 3 times the height

So if we represent the height with variable h, then the base is 3h

Mathematically the area of a parallelogram can be calculated by the formula

A = bh

Thus ,

363 = h * 3h

3h^2 = 363

divide through by 3

h^2 = 121

h = √121

h = 11 inches

since b = 3h , then b = 3 * 11 = 33 inches

The indicated angle in the triangle is 60 degrees.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle. Therefore, the exterior angle theorem can be used to find the indicated angle in the triangle as follows:

let

x = indicated angle

Therefore,

x + 70 = 130

subtract 70 from both sides of the equation

x + 70 = 130

x + 70 - 70 = 130 - 70

x = 60 degrees

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Answer:

y = -2/5 x + 4

Answer:

See explanation for answer.

Step-by-step explanation:

Slop intercept formula:  y = mx + b

Slope of this graph: 4

I hope this helps!

Have a lovely day!

Answer:

y = -2x + 2

Step-by-step explanation:

Simplify

y-4 = -2(x+1)

y - 4 = -2x - 2

add 4 to both sides

y = -2x +2

Answer:

y = -2x + 2

Step by step:

Answer:

Step-by-step explanation:

Everyone asks about these types of problems,  I feel like math teachers do not know how to teach this type of problem.

these really are just follow the steps , type of problems..

Step 1 :

find the slope

slope = m

given:

point P1 (-4,-6)  in the form (x1,y1)

4x + 5y = 25

because they tell us to find a line perpendicular to the given line,  we are able to use the slope of the given line to find the slope of the line we want.  Perpendicular means  take the reciprocal of the given line's slope.

or

4x + 5y = 25

5y = -4x + 25

y = \(\frac{-4}{5}\) X +5  use the slope intercept formula to know slope m

y= mx + b

m=   \(\frac{-4}{5}\)

take the reciprocal and swap the sign

m = \(\frac{5}{4}\)

Step 2:

put the given information into the point slope formula.  if this seems like a lot to remember it's going to be super super helpful for you to memorize the two formulas,   slope-intercept and point-slope,  you'll use them over and over.

point slope formula

y - y1 = m(x -x1)

y - (-6) =  \(\frac{5}{4}\)(x-(-4))

the (x1,y1) came from the given point above.  Now just solve for Y

y +6 =   \(\frac{5}{4}\)(x+4)

y + 6 =   \(\frac{5}{4}\)x + 5

y  =   \(\frac{5}{4}\)x + 5 -6

y =  \(\frac{5}{4}\)x -1

this is the equation of the line that passes through point (-4,-6)

Note that that is in the form of the slope intercept formula

y = mx + b

where b is just a negative number

There was really just 2 Steps,  and none of that math is really difficult.

recall the two formulas,  and how they are used.  and you are good.

Answer:

V = 40 km/h

Step-by-step explanation:

Total distance = 120 km

Constant speed of train = V km/h

⇒ \(Time \: taken \: by \: train = \frac{Distance}{Speed} = \frac{120}{V} \: hr\)

Its given that if speed is reduced by 10 km/h , the time taken by train increases by 1 hour. BUT THE DISTANCE REMAINS SAME. So,

\(Speed \times Time = Distance\)

\(=> (V - 10)(\frac{120}{V} + 1) = 120\)

\(=> 120 + V - \frac{1200}{V} - 10 = 120\)

\(=> V - \frac{1200}{V} - 10 = 0\)

\(=> \frac{V^2 - 1200 - 10V}{V} = 0\)

\(=> V^2 - 10V - 1200 = 0\)

Factorise the quadratic equation.

\(=> V^2 - 40V + 30V - 1200\)

\(=> V(V - 40) + 30(V - 40)\)

\(=> (V - 40)(V + 30)\)

\(=> V = 40 \: (or) \: -30\)

Speed can't be negative. So , V = 40 km/h

Question: In a sale, the price of a book is reduced by 25%. The price of the book in the sale is £12. Work out the original price of the book

Answer: £16

Step-by-step explanation:

To determine the original price of the book, we can use the fact that the sale price is 75% (100% - 25%) of the original price. Let's denote the original price as x.

75% of x = £12

To solve for x, we can set up the equation:

0.75x = £12

To isolate x, we divide both sides of the equation by 0.75:

x = £12 / 0.75

x = £16

Therefore, the original price of the book was £16.

The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

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

The parameters are given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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Answer:

Tn=a + (n-1)d

a= first term = 14

n= This is the term you're looking for... In this case... That's the 73rd term

d=Common difference (since its an AP)

d= second term - first term -- Or 3rd term - 2nd term = 23-14

d=9

T = 14 + (73-1)9

T= 14 + (72)9

T= 14 + 648

T=662.

The 73rd term would be 662.

1 term is +9

10 terms is +90

90x7=630

9x2=18

630+18=648

648+14=662

Answer:

t = 16

Step-by-step explanation:

if you do 448 divided by 28 you get 16.

if you do 28 x 16 you get 448

Answer: The length, breadth, and height of the rectangular prism are:

Length = 3x + y cm

Breadth = 2x + 2y cm

Height = 3y cm

The volume of the rectangular prism is given by the formula:

Volume = Length x Breadth x Height

Substituting the values, we get:

Volume = (3x + y) x (2x + 2y) x (3y)

Simplifying the expression, we get:

Volume = 18x^2 y + 15xy^2 + 6x^2 y^2 + 6y^3

Therefore, the volume of the rectangular prism is 18x^2 y + 15xy^2 + 6x^2 y^2 + 6y^3 cubic cm.

Step-by-step explanation: