2- La longueur d'un rectangle mesure 2 cm de plus que le triple de sa largeur. Si le périmètre de ce rectangle est supérieur à 12 cm, mais d'au maximum 48 cm, dans quel intervalle se situe la largeur de ce rectangle?​

Higher Order Thinking There are points on a grid at (0, 0) and (3, 0).

a. What is a possible coordinate of the third vertex if the triangle has

a perimeter of 11 units? Explain.

b. Is there another point that could be the third vertex? Explain.

par poib

signe

The complete solution of the equation p^2 + q^2 = z, where p = (∂z/∂x) and q = (∂z/∂y), is given by z = f(x, y), where f is an arbitrary twice-differentiable function of x and y.

Step 1: Start with the given equation.

The equation p^2 + q^2 = z represents a relationship between the partial derivatives of z with respect to x and y.

Step 2: Recognize the relationship between p and q.

We can observe that p and q are analogous to the components of a vector, specifically the gradient vector (∇z) = (∂z/∂x, ∂z/∂y). The magnitude of the gradient vector is given by ||∇z||^2 = (∂z/∂x)^2 + (∂z/∂y)^2.

Step 3: Relate the equation to the magnitude of the gradient vector.

Comparing the given equation p^2 + q^2 = z to the magnitude of the gradient vector equation, we have ||∇z||^2 = z.

Step 4: Interpret the equation.

The equation ||∇z||^2 = z implies that the magnitude of the gradient vector squared is equal to the value of z itself.

Step 5: Apply the concept of scalar potential.

In vector calculus, a scalar potential exists when the gradient of a scalar function produces a given vector field. In this case, the scalar function is z, and the vector field is (∂z/∂x, ∂z/∂y).

Step 6: State the solution.

Since z can be expressed as a scalar potential, the complete solution is z = f(x, y), where f is an arbitrary twice-differentiable function of x and y. This implies that z can take on any value determined by the function f(x, y).

In conclusion, the complete solution of the equation p^2 + q^2 = z, where p = (∂z/∂x) and q = (∂z/∂y), is z = f(x, y), where f is an arbitrary twice-differentiable function of x and y.

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Answer:

B) (0,2)

Step-by-step explanation:

We substitute the values of x and y into this inequality:

2 ≥ 2(0)-1

2 ≥ 0-1

2 ≥ -1

This is true, so this is the correct point

hope this helps have a good day

Answer:

there it is

Step-by-step explanation:

Step-by-step explanation:

I believe its 11% I hope this helped!

Answer:

1/4 or 0.25

Step-by-step explanation:

It is true that the Central Limit Theorem guarantees an approximately normal sampling distribution when n is sufficiently large.

The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\).

For the sampling distribution, the mean and the standard deviation are given as follows:

The shape is approximately normal, and in the case of a skewed distribution, a sample size of at least 30 is needed, that is, a sufficiently large sample size.

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\(625=5^{7x-3}\implies 5^4=5^{7x-3}\implies 4=7x-3 \\\\\\ 7=7x\implies \cfrac{7}{7}=x\implies 1=x\)

Answer:

im sorry i dont have an answer but what is this im in7th grade and wth is this

Step-by-step explanation:

im crying pickles rn

(-13, -6), (7, 15) = 1.05

Equation: y = 1.05x + 7.65.

The entered points belong to an increasing, linear function.

Answer:

m = rise / run = 21/20, or m = 1.05

Step-by-step explanation:

If the lines are parallel, their slopes are identical.  So we can find the slope of line 1 and know that it's also the slope of line 2.

From (-13, -6) to (7, 15), the x-component increases by 20 units from -13 to 7.  Thus, the "run" in m = rise / run is 20.  Likewise, the "rise" is 21.

Thus the slope in question is m = rise / run = 21/20

a) It is not possible for everyone in a group of 5 friends to have exactly two friends.

b) It is possible for everyone in a group of 5 friends to have exactly three friends.

(a) It is not possible for everyone in a group of 5 friends to have exactly two friends. To see why, suppose that each person has exactly two friends. This means that each person is connected to two other people in the group. If we start at any person in the group, we can follow their connections to the other people in the group.

Since each person has only two friends, the connections will form a chain or loop. However, if we keep following the connections, we will eventually return to the original person, forming a loop. This means that the group must be connected in a loop or chain, but this is impossible with 5 people.

(b) It is possible for everyone in a group of 5 friends to have exactly three friends. One example is the complete graph on 5 vertices, denoted K5, where every vertex is connected to every other vertex. In this graph, every person has exactly 4 friends, since they are connected to all of the other people in the group.

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The correct option is (b) sample size.

In the formula for calculating the standard deviation, the letter n represent  sample size.

What is standard deviation?

Standard deviation is a statistical standard measure in finance that, when applied to an investment's annual rate of return, sheds light on its historical volatility.

Some key features regarding the standard deviation are-

A square root of a value deduced from correlating data points to a population's collective mean is used to calculate standard deviation. The formula is:

Standard Deviation = \(\sqrt{\frac{summation n to i=1 (x_{i}-bar x )}{n-1} }\)

Where,

\(x_{i}\)= value of the i th point the the given data set.

\(barx\)= mean value

n = total number of data points.

Thus, the standard deviation, on the other hand, determines all ambiguity as risk, even when it is in the investor's favor, like above-average returns.

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Hey there!

\(x^0\)

Anything to the power of 0 is 1. So that means x can be equal to any number. Let's say 1^0, it will still equal 1. 2^0 is also equal to 1. X is therefore not a number since it can be anything.

\(x^0=1\)

Hope this helps!

\(AT2309\)

Answer:

25w+140=290

He will have enough money in 6 weeks

w represents the amount of weeks

Step-by-step explanation:

25w+140=290

$25 every week + the original $140 = the total needed $290

Answer:

140 + 25w = 290

w = 6

Step-by-step explanation:

Goal: $290

Currently have $140

Saving $25 each week (variable)

Start with your given amounts :

(base) 140 + 25w (variable solving for) = 290 (goal you want equation to equal)

w stands for the amount of weeks for the goal to be reached

Solve:

140 + 25w = 290

subtract 140

25w = 150

divide 25

w=6

Double check (optional but suggested)

140 + 25 (6) = 290

140 + 150 = 290

290 = 290

correct

The equation that shows the relationship between the angles in the triangle is m∠1 + m∠2 + m∠3 = 180.

The equation that shows the relationship between the angles in the triangle is determined as follows;

The sum of angles in a triangle is equal to 180 degrees.

So based on this information, the equation that shows the relationship between the angles in the triangle is formulated as;

angle 1 + angle 2 + angle 3 = 180

We can re-write the equation as follows;

m∠1 + m∠2 + m∠3 = 180

Thus, the equation that shows the relationship between the angles in the triangle is the sum of angle 1 plus angle 2 plus angle 3.

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Answer:

x=-10

Step-by-step explanation:

Multiply both sides by -4:

x=-10

Answer: A) 5 x 1/2

Step-by-step explanation: 5 x 1/2 yields 2.5, which is also the answer to 5 / 2.

Answer: A. 5 x 1/2

5 divided by 2 is 2.5, and 5 x 1/2 is also 2.5

To solve the initial value problem using the Laplace transform, we will take the Laplace transform of the differential equation, apply the initial conditions, solve for the transformed function, and then inverse the Laplace transform to find the solution. The solution to the initial value problem is:

Step 1: Take the Laplace transform of the differential equation. Let's denote the Laplace transform of the function y(t) as Y(s), where s is the Laplace variable.

Applying the Laplace transform to the given differential equation, we get:

s²Y(s) - 4sY(s) + 13Y(s) = 0

Step 2: Rewrite the equation in terms of Y(s) and solve for Y(s).

Y(s)(s² - 4s + 13) = 0

Y(s) = 0   (since s² - 4s + 13 ≠ 0 for any s)

Step 3: Apply the inverse Laplace transform to find the solution in the time domain.

Taking the inverse Laplace transform of Y(s) = 0, we get:

y(t) = 0

So, the solution to the initial value problem is y(t) = 0.

Please note that the given initial conditions y(0) = -5 and y'(0) = -1 are not utilized in this solution, as the homogeneous solution to the differential equation is trivial (y(t) = 0).

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Answer:

Step-by-step explanation:

If Guy Granger's gave each contestant 4 bills and there are 5 contestants, then you would multiply 4x5 which would give you 20. This is the amount of bills in Guy Granger's stack.

Answer:

9

Step-by-step explanation:

Answer: The Answer is 9 i'm really sure this is the answer

Ratio compares two things. The length of the trail, in reality, is 6.75 km.

A scaling ratio helps us to compare two things.

Given to us

The scale on the map states that 2 centimeters represent 3 kilometers.

Length of the trail on the map, L = 4.5 cm = 0.045 m

As we know that 2 centimeters represent 3 kilometers. therefore,

\(\rm \dfrac{Map}{Real} = \dfrac{0.02\ m}{3000\ m}\)

We know that the Length of the trail on the map is 0.045 m,

\(\rm \dfrac{L}{L'} = \dfrac{0.02\ m}{3000\ m}\)

Substitute the value,

\(\rm \dfrac{0.045}{L'} = \dfrac{0.02\ m}{3000\ m}\\\\L' = 6750\ m\\\\L' = 6.750\ km\)

Hence, the length of the trail, in reality, is 6.75 km.

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Answer:

-3x power 3+x power 4+5 is the answer

The radius of the circle is 4millimeters

The circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.

The circumference of a circle is given as:

C = 2πr

where C is the circumference and r is the radius

25.12 = 2× 3.14×r

25.12 = 6.28r

r = 25.12/ 6.28

r = 4 millimeters

therefore the radius of the circle is 4 millimeters

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Answer:

I belive, it is A I'm not sure

Step-by-step explanation:

Answer:

3,500 tons

Step-by-step explanation:

We know that 1,400 tons is 2/5 of the Consolidated Brick Company's output.

This means that 1/5 must be equal to 700 tons if 2/5 is 1,400.

So, we can find the total output by multiplying 700 by 5, since 700 is 1/5 of the total.

700(5) = 3,500 tons

Answer:

x = 5 units

Step-by-step explanation:

since it is an isosceles triangle, the perpendicular "x" bisects the base (24) into two units of 12.

using the Pythagorean theorem:

x² = 13² - 12² = 169 - 144 = 25

x = √25 = 5

Step-by-step explanation:

not sure the question but I can solve the equations

6x-14<-14

6x<0

×<0

3x+10>13

3x>3

×>1

Answer:

5

Step-by-step explanation:

2 * 2= 4

4 ÷ 2 = 2

2 + 3= 5

Hope this helps!