The perimeter of a square is directly proportional to the length of its sides. a. write an equation to represent this direct variation. make sure to define your variables. b. in complete sentences, use a specific example to justify your equation from part a. include a drawing in your answer.

Answer:

Fdssawweerttyyyhjiokmnbvvffffdeewwsstttggytrf

Step-by-step explanation:

Yttfffrdeesdcxfftggvbred

Answer:

12.6 ft

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

let h be height up the side of the building , then

h² + 6² = 14²

h² + 36 = 196 ( subtract 36 from both sides )

h² = 160 ( take the square root of both sides )

h = \(\sqrt{160}\) ≈ 12.6 ft ( to the nearest tenth )

Answer:

Always

Step-by-step explanation:

If two lines are coplanar and will not intersect, they are parallel.

13/8, which you can also write as 1 5/8

The simplest radical form of X of the triangle is \(\sqrt{}\)30.

AI Recommended Response Division by the radical sign yields the value of x in its simplest radical form.

Due to the absence of any perfect square factors for the number beneath the square root,\(\sqrt{}\) 30 is in its simplest radical form.

Due to the fact that the number under the square root,

\(\sqrt{}\)30 = \(\sqrt{2} * \sqrt{3} *\sqrt{5}\)

may be factored to equal, and that \(\sqrt{}\)30 is a perfect square since

is not in its simplest radical form.

so we can add \(\sqrt{30}\)

The simplest radical form of X of the triangle is \(\sqrt{}\)30

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The rotation of the triangle is 90° counterclockwise

Given data ,

Let the coordinates of the triangle be A ( -4 , -4 ) , B ( 3 , -3 ) , C ( 0 , -10 )

Let the coordinates of the rotated be A' ( 4 , -4 ) , B' ( 3 , 3 ) and C' ( 10 , 0 )

And , 90° counterclockwise rotation: (x,y) becomes (-y,x)

Therefore , the rotation is 90° counterclockwise

Hence , the triangle is rotated by 90° counterclockwise

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Explanation:

It might help to rotate the figure so the parallel sides are horizontal. This is optional.

The parallel bases are \(b_1 = 6\) and \(b_2 = 4\) in either order.

The height is h = 4 which is always perpendicular to both bases.

Plug these values into the trapezoid area formula.

\(A = \frac{h(b_1 + b_2)}{2}\\\\A = \frac{4(6+4)}{2}\\\\A = \frac{4(10)}{2}\\\\A = \frac{40}{2}\\\\A = 20\\\\\)

The area of the trapezoid is 20 square units.

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Another pathway is to break the trapezoid into a rectangle up top and a triangle down below.

The rectangle is 4 by 4 with area 4*4 = 16

The triangle has a base of 6-4 = 2 and height of 4, so its area is base*height/2 = 2*4/2 = 8/2 = 4

Overall the total area is rectangle+triangle = 16+4 = 20 square units.

Answer:

60 feet

Step-by-step explanation:

Answer:

x^(3)+5x^(2)-8x-48=0

The simplified expression for the given expression is "a squared minus b squared minus a b."

To simplify the given expression, let's break it down step by step:

- Negative 2 a squared b a squared: This term remains the same in the simplified expression.

- Minus 5 a b: This term remains the same in the simplified expression.

- 3 a b squared minus b squared: This can be simplified as (3 a b squared) - (b squared) = 3 a b squared - b squared.

- 2 (a squared b 2 a b): This can be simplified as 2 (a squared b) - 2 (a b) = 2 a squared b - 2 a b.

Now, combining all the simplified terms, we have:

-2 a squared b a squared - 5 a b + 3 a b squared - b squared + 2 a squared b - 2 a b

Simplifying further, we can group like terms:

-2 a squared b + 2 a squared b - 5 a b - 2 a b + 3 a b squared - b squared

Combining like terms, we get:

0 - 7 a b + 3 a b squared - b squared

Finally, rearranging the terms in decreasing order of degree, we have:

- b squared + 3 a b squared - 7 a b

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Answer:

x < 7 /13

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer: One solution

Step-by-step explanation:

Given

-5x-8=8

Add 8 on both sides

-5x-8+8=8+8

-5x=16

Divide -5 on both sides

-5x/-5=16/-5

x=-3.2

Therefore, it has one solution

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Median

Step-by-step explanation:

The median value of a distribution is obtained by :

FIRSTLY : Arranging the data in order usually ascending order.

Then the 50th percentile of the data is determined , the value which falls in the 50th percentile is the median of the distribution. The 50th percentile is the exact mid value of the distribution.

This describes the exact same way Tia was chosen in the scenario described above. Hence the measure of the center described is the Median.

Answer:  1. Mary Ann has saved $2 more than Carlos

Step-by-step explanation:

He has $26 after 3 hours

she has...

y=6(3)+10

y=18+10

y=28

so

28-26=2

Proof of AB is parallel to DC is given below.

Triangles are said to be congruent if, under a correspondence, two of a triangle's sides and the angle that connects them are equal to two of another triangle's sides and the angle that connects them.

Proof:

Definition of parallel lines.

Triangle congruence implies corresponding angles are congruent.

The sum of angles in a triangle is 180 degrees.

Alternate interior angles formed by a transversal intersecting parallel line are congruent.

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7.702 is the proper decision.

What exactly is a p-value?

Answer:

15 units

Step-by-step explanation:

\(d \: = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } \)

d = 14.866

d = 15

The function g is defined by:

g(u) = - (1/lambda) * ln(1 - u) for 0 < u < 1.

The random variable X = g(U) has the exponential (lambda) distribution.

(i) To create a random variable X that has cdf F, and you have a number picked uniformly on (0,1), you should do the following:

Let U be a uniform (0,1) random variable. To construct a random variable X=F^(-1)(U) so that X has the cdf F, take the inverse of the cdf F, denoted as F^(-1), and apply it to the uniformly distributed random variable U.

(ii) To find the function g for an exponential distribution with parameter lambda, you should set F as the exponential cdf, which is given by:

F(x) = 1 - e^(-lambda * x)

Now, you can find the inverse function F^(-1)(u):

1. Set u = F(x): u = 1 - e^(-lambda * x)
2. Solve for x: x = - (1/lambda) * ln(1 - u)

So, the function g is defined by g(u) = - (1/lambda) * ln(1 - u) for 0 < u < 1. The random variable X = g(U) has the exponential (lambda) distribution.

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Answer:

Example 1 = ?

Example 2 = x = 3.22

Example 3 = 10.963 = x

Example 4 = ?

The x component of the vector is 16.24m

The components of a vector in two dimension coordinate system are the parts of vectors generated along the axes(x and y) and are considered to be x-component and y-component. It can be represented as, (Vx, Vy), where V is the vector.

The x component of a vector V is Vcos¢

where¢ is the angle of vector

the positive equivalent angle of - 96.3 is 83.7°

x component= 148cos 83.7

Vx= 16.24m

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The car's position at t=3 s is at 36m with an acceleration of 20m/s^2.

To find the position function x(t), we need to integrate v(t).Position function is given as, \(x(t) = ∫v(t)dt∫(3t² + 2t)dt\) Using power rule of integration, we get, \(x(t) = [t³ + t²] + C\) where C is a constant of integration. Since x(0) = 0, the constant \(C = 0.x(t) = t³ + t²\). We have to find position and acceleration when t = 3 s. So, \(x(3) = 3³ + 3² = 36m\).

Acceleration is the derivative of velocity. \(a(t) = dv(t)/dt = d/dt (3t² + 2t) = 6t + 2At t = 3 s\), the acceleration, \(a(3) = 6(3) + 2= 20 m/s²\)

(b) Let the position of the car at time t = 0 be x0 and let the velocity at that point be v0.

Then, we can say that x(0) = x0 ………………….. (1)

v(0) = v0 ………………….. (2)

Since the acceleration of the car is constant, we have the following relationship between the velocity and displacement. \(v² – v0² = 2a(x – x0)\). Putting the value of x0 from equation (1), we get,

\(x = x0 + (v² – v0²)/(2a)\) …………….. (3)

Here, x is the position of the car at any time t and v is the velocity of the car at that time t. From equation (2), we have \(v0 = 3(0)² + 2(0) = 0v² = (3t² + 2t)² = 9t⁴ + 12t³ + 4t²\). So, equation (3) becomes \(x = x0 + (9t⁴ + 12t³ + 4t²)/(2a)x = x0 + (3t² + 2t)²/a\). Now, the above expression is valid for all values of t. In particular, when the car is at x0, we can put x = x0 and t = 0 in the above equation to get\(v² = v0² + 2a(x0 – x0)\). Therefore,v² = v0²This is the required result.

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Real number \($x^2+y^2= \boxed{158}$\)

Let's start by using the formulas for arithmetic mean and geometric mean:

Arithmetic mean:

\($\frac{x+y}{2}=7 \Rightarrow x+y=14$\)

Geometric mean:

\($\sqrt{xy}=\sqrt{19} \Rightarrow xy=19$\)

Now, we can square the equation for the arithmetic mean:

\($(x+y)^2=14^2 \Rightarrow x^2+2xy+y^2=196$\)

Substituting\($xy=19$\), we get:

\($x^2+y^2+2(19)=196$\)

Simplifying:

\($x^2+y^2= \boxed{158}$\)

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Answer: a

Step-by-step explanation:

10/2 = 5

5-6=-1

Answer:

7

Step-by-step explanation:

Answer:

thanks

Step-by-step explanation:

Answer:

1) 5.75

2) -6.25

3) 3.75

4) -3.5

5) decreased by 3.3 gallons

Step-by-step explanation:

1) \( 8 - 2.25 = 5.25\)

2) \( - 3\frac{1}{2} + ( - 2\frac{3}{4} )\)

\( = > \frac{ - 7}{2} + \frac{ - 11}{4} \)

\( = > \frac{ - 25}{4} =6.25\)

3) \(1 \frac{1}{4} + 2 \frac{1}{2} \)

\( = > \frac{5}{4} + \frac{5}{2} \)

\( = > \frac{15}{4} = 3.75\)

4) \( - 9.5 + 6 = - 3.5\)

5)

Amount of water collected on a month = 8.4 gallons

Amount of water used in garden = 5.2 gallons

Amount of water used in flowers = 6.5 gallons

Total amount of water used up = 5.2 + 6.5 = 11.7 gallons

Dat gurl saved 8.4 gallons in that month & she used up 11.7 gallons water. So, the rainwater supply was decreased by (11.7 - 8.4) = 3.3 gallons

Answer:

since the eight in the second number is to the right of the decimal, and there id no other number on the left, the second number isn't even a whole number. It is four fifths of a whole. while the eight in the first number is to the left of the decimal it is a whole number eight times. like, which is more eight cookies or a part of one cookie.

Step-by-step explanation:

There are 72 different bracelets with 4 identical red beads, 4 identical orange beads, and 2 yellow beads, after flipping a bracelet.

To find the number of different bracelets, we can use the concept of permutations.

First, let's consider the red beads.

Since there are 4 identical red beads, the number of ways to arrange them in a line is 4! (4 factorial).

However, since rotating the bracelet does not change it, we need to divide by 4 to account for the different rotations of the same arrangement.

So, the number of arrangements of the red beads is 4!/4 = 6.

Next, let's consider the orange beads.

Similarly, there are 4!/(4 * 2) = 12 different arrangements of the orange beads.

Again, we divide by 4 to account for the different rotations.

Lastly, we have the yellow beads. Since there are 2 identical yellow beads, there is only 1 arrangement for them.

To find the total number of different bracelets, we multiply the number of arrangements for each type of bead:

6 * 12 * 1 = 72.

Therefore, there are 72 different bracelets with 4 identical red beads, 4 identical orange beads, and 2 yellow beads, if rotating or flipping a bracelet does not change it.

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a) The basic element for calculating the customs value in importation by sea, air, and road is the transaction value,b) Customs duties in these three cases are typically calculated based on the customs value of the imported goods.

a) The basic element for calculating the customs value in importation by sea, air, and road is the transaction value. The transaction value is the price actually paid or payable for the imported goods, which typically includes the cost of the goods themselves, any assists (such as packaging or materials provided by the buyer), royalties, license fees, and any other payments made as a condition of sale.

b) To calculate customs duties in these cases, the customs value is used as the basis. The customs value includes the transaction value and certain adjustments, such as the cost of transportation to the place of importation, loading, unloading, and handling charges incurred in transporting the goods to the importing country, as well as the cost of insurance. These adjustments are necessary to determine the value of the goods at the time and place of importation.

Once the customs value is determined, customs duties are applied to this value based on the applicable tariff rates or preferential trade agreements. Customs duties are typically calculated as a percentage of the customs value, although specific duty rates or other calculation methods may also be used depending on the nature of the imported goods and the relevant customs regulations of the country.

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Step-by-step explanation:

x=-14 plus/minus squared root of 1394 over 7