Which statement best describes the graph

Answer:

A is the answer

Step-by-step explanation:

if its wrong than its C

Answer:

LN = MP = 9 units

Step-by-step explanation:

In rectangle LMNP, LN and MP are diagonals .

Measures of the diagonals of a rectangle are equal.

Therefore,

MP = LN

2x - 9 = x

2x - x = 9

x = 9

LN=x = 9 units

MP=2x-9 = 2*9 - 9 = 18 - 9 = 9 units

Answer:

181.25 square feet

1/6 quart water

1/18 cup milk

1/3 beef bouillon cube, and 2/3 a large carrot

Step-by-step explanation:

Answer:

∠E = tan

∠D = tan

Step-by-step explanation:

Common sense, only perpendicular and base is present.

Answer:

-20

Step-by-step explanation:

no cap

Answer:

Equation: (6x2)x5=?

Step-by-step explanation:

Well, lets see: (x times y), which is (6x2)x5=?

Equation: (6x2)x5=?

I think?

Answer:

4 2/3

Step-by-step explanation:

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.

We have,

The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.

Now,

In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.

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complete question:

Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.

Answer:

sum = 37 + -18 =19

difference = 37 - -18 = 55

Step-by-step explanation:

Answer:

210

Step-by-step explanation:

simple, arrange the numbers in descending order zero being the last !!!

Answer:

210

Step-by-step explanation:

Arrange the numbers in descending order :)

Answer:

y=20/7 or y=2.85

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

2y-4=-5y+16

2y+5y-4=16

7y-4=16

7y=16+4

7y=20

y=\(\frac{20}{7}\)

y=3

A rectangle is a quadrilateral which has the length of its opposite sides to be equal. Thus, the following are the solutions to the questions:

a) The rectangle used to model the taller building is ABCD.

b) The line segment used to model the height of the smaller building is JM = KL.

c) The height of the taller building is 200 feet.

d) The height of the smaller building is 150 feet.

e) Yes, the scale factor from small to tall building is \(\frac{3}{4}\).

Rectangles have equal length of opposite sides , and the sum of its interior angles to be \(360^{o}\). Since the two given skyscrapers were modeled with respect to rectangles ABCD and JKLM, then the answers to the questions are:

a) The rectangle used to model the taller building is ABCD. Since the length of a rectangle is always greater than its width. So that the height; AD = BC.

b) The line segment that can be used to model the height of the smaller building is; JM = KL. This represent the width of the rectangular model for the small building.

c) The height of the taller building is AD = BC = 200 feet. The width of a rectangle is often smaller than its length, which in this case is the height.

d) The height of the smaller building is JM = KL = 150 feet. The length of a rectangle is usually longer than its width.

e) Yes, it would make sense because:

scale factor = \(\frac{height of the smaller building}{height of the taller building}\)

                   = \(\frac{150 ft}{200ft}\)

                   = \(\frac{15}{20}\)

scale factor = \(\frac{3}{4}\)

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Answer:

8 1/2 hour periods will make up 4 hours.

Step-by-step explanation:

half an hour is 30 minutes, and there are 60 minutes in an hour. 4 hours=240 minutes. 240÷30=8.

hope this helps! best of luck <3

Answer: x = 14; y = 74; Isosceles and Acute

Step-by-step explanation: 3(x+7) = 3x + 21

Isosceles triangles have congruent base angles making 63 = 3x +21

Solve for x.

All angles of a triangle add up to 180 making y = 180 - 63 - 63.

Isosceles because two sides are congruent. And acute because all angles are under 90.

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

Gianna ran 40 miles over the course of 17 weeks.

Mark me brinilylist

Answer:

  10, 12, 14  or  -10, -8, -6

Step-by-step explanation:

We can let x represent the middle integer. Then the smaller one is x-2 and the larger one is x+2. The given relation is ...

  (x-2)(x) = 92 +2(x+2)

  x^2 -2x = 92 +2x +4 . . . eliminate parentheses

  x^2 -4x = 96 . . . . . . . . . subtract 2x

  x^2 -4x +4 = 100 . . . . . . add 4 to complete the square

  (x -2) = ±√100 = ±10 . . . take the square root

  x = 2 ± 10 = -8 or +12 . . . . add 2

The three integers might be ...

  -10, -8, -6  or  10, 12, 14

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

123

Step-by-step explanation: You add 37 and 86 together to get 123

Answer:

2nd answer option : 6^(13/4)

Step-by-step explanation:

what are we doing, when 2 equal base terms with exponents are multiplied ? we add the exponents !

this is like 3⁴×3³ = 3⁷

because

3×3×3×3 × 3×3×3 = 3×3×3×3×3×3×3 = 3⁷

it is that simple.

and that concept is also valid for any kind of number as exponent. even for fractions and so on.

so,

6^3 × 6^(1/4) = 6^(3 + 1/4) = 6^(12/4 + 1/4) = 6^(13/4)

The general solution of the partial differential equation is:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

The partial differential equation (PDE) is given as:

Uxx = (1/2)Ut with the boundary and initial conditions as 0< X <3 with U(0,t) = U(3, t)=0, U(0, t) = 5sin(4πx)

Assume that the solution can be written as a product of two functions:

U(x, t) = X(x)T(t)

Substituting this into the PDE, we have:

X''(x)T(t) = (1/2)X(x)T'(t)

Dividing both sides by X(x)T(t), we get:

(X''(x))/X(x) = (1/2)(T'(t))/T(t)

Since the left side only depends on x and the right side only depends on t, both sides must be equal to a constant, denoted as -λ²:

(X''(x))/X(x) = -λ²

(1/2)(T'(t))/T(t) = -λ²

Simplifying the second equation, we have:

T'(t)/T(t) = -2λ²

Solving the second equation, we find:

T(t) = Ce^(-2λ²t)

Applying the boundary condition U(0, t) = 0, we have:

U(0, t) = X(0)T(t) = 0

Since T(t) ≠ 0, we must have X(0) = 0.

Applying the boundary condition U(3, t) = 0, we have:

U(3, t) = X(3)T(t) = 0

Again, since T(t) ≠ 0, we must have X(3) = 0.

Therefore, we can conclude that X(x) must satisfy the following boundary value problem:

X''(x)/X(x) = -λ²

X(0) = 0

X(3) = 0

The general solution to this ordinary differential equation is given by:

X(x) = Asin(λx) + Bcos(λx)

Applying the initial condition U(x, 0) = 5*sin(4πx), we have:

U(x, 0) = X(x)T(0) = X(x)C

Comparing this with the given initial condition, we can conclude that T(0) = C = 5.

Therefore, the complete solution for U(x, t) is given by:

U(x, t) = Σ [Aₙsin(λₙx) + Bₙcos(λₙx)]*e^(-2(λₙ)²t)

where:

Σ represents the summation over all values of n

λₙ are the eigenvalues obtained from solving the boundary value problem for X(x).

To find the eigenvalues λₙ, we substitute the boundary conditions into the general solution for X(x):

X(0) = 0: Aₙsin(0) + Bₙcos(0) = 0

X(3) = 0: Aₙsin(3λₙ) + Bₙcos(3λₙ) = 0

From the first equation, we have Bₙ = 0.

From the second equation, we have Aₙ*sin(3λₙ) = 0. Since Aₙ ≠ 0, we must have sin(3λₙ) = 0.

This implies that 3λₙ = nπ, where n is an integer.

Therefore, λₙ = (nπ)/3.

Substituting the eigenvalues into the general solution, we have:

U(x, t) = Σ [Aₙ*sin((nπ/3)x)]*e^(-(nπ/3)²t)

where Aₙ are the coefficients that can be determined from the initial condition.

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Answer:

24

Step-by-step explanation:

If ratio of blue to red is 3:4 or in fraction terms 3/4 then the ratio of blue to all Jolly ranchers = 3/(3+4) = 3/7

Since there are a total of 56, the number of blue ones = 56 x 3/7 = 24

Answer:

24

Step-by-step explanation:

Based on the given conditions, formulate: 56 x 3 divided by (3 + 4)

Calculate the product or quotient: 168/3+4

Calculate the sum or difference:168/7

Cross out the common factor:24

get the result:24

Answer: 24

The surface area of the vase is 168.4 square inches.

What is a cylinder?

A cylinder is a three-dimensional geometric shape that has two congruent circular bases connected by a curved surface.

The surface area of the cylindrical vase can be found using the formula SA = B + Ph, where B is the area of the base, P is the perimeter of the base, and h is the height of the vase. Since the vase has a circular base, the area of the base can be found using the formula for the area of a circle: B = πr², where r is the radius of the base.

The diameter of the vase is 4.3 inches, so the radius is half of that, or 2.15 inches. The area of the base is therefore:

B = πr² = 3.14 * (2.15)² ≈ 14.46 square inches.

The perimeter of the base is the circumference of the circle, which can be found using the formula C = 2πr:

P = 2πr = 2 * 3.14 * 2.15 ≈ 13.53 inches.

Now we can use the formula SA = B + Ph to find the surface area of the vase:

SA = B + Ph = 14.46 + 13.53 * 11 ≈ 168.39 square inches.

Rounding to the nearest tenth of a square inch, the surface area of the vase is approximately 168.4 square inches.

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Answer:

2.5 km/h

Step-by-step explanation:

Here we have a distance problem where we are given the distance the time time:

Rate = ?

Time = 2hrs

Distance = 5km

The simplest way to do this is to rearrange the formula to suit our need and plug in the numbers:

\(R*T=D\\R*\frac{T}{T}=\frac{D}{T} \\R=\frac{D}{T}\)

Now, plug in the numbers and solve:

\(R=\frac{D}{T}\\R=\frac{5}{2} \\R=2.5\)

Answer: 45

Step-by-step explanation:

The total profit in all was \(1040-900=\$ 140\).

The total profit per pizza was \((0.50)(8)=\$4\).

This means they sold \(\frac{140}{4}=35\) pizzas.

Adding this to the 10 pizzas held back, there were \(35+10=45\) pizzas in the original order.

Answer:

4(7 + 6)

Step-by-step explanation:

28 + 24

GCF of 28 and 24 is 4

4 (7 + 6)

I hope this helps!