Draw the image of △ABC under a dilation whose center is P and scale factor is 2

Answer:

-5, -6, -7, -8, -9, -10, -11

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x+9<o

x>-12

Answer:

it's commutative property of addition

Step-by-step explanation:

commutative property is when we can change the position or swap the numbers when adding or multiplying any two numbers.

Answer:

A) 3, 4, 5, 6, 7, 8

Step-by-step explanation:

2+1, 2+2, 2+3, 2+4, 2+5, 2+6= 3, 4, 5, 6, 7, 8

Answer: 97

Step-by-step explanation:

Answer:

97 natural numbers

Step-by-step explanation:

\(49^2-48^2\\2401-2304=97\)

Seeing that both triangles are side by side and share a side, we know that that side of both triangles is congruent.

Then when you look at the angles, you will see that one on each triangle has one curved line. This one curved line shows that these angles are congruent.

There is then the two curved lines you can find on both triangles as well. This shows that both those angles are congruent.

With this information, you should be able to tell that two angles of the triangles are congruent, and one side of both triangles are congruent, with the order that these are shown on the triangles being an angle, then a side, then another angle, the answer would be ASA, or angle, side angle.

Answer:

it ARBY'S

Step-by-step explanation:

Answer:

I need 1 Brainliest before I can become Virtuoso

Step-by-step explanation:

Answer:

7/12 ,2/3, 17/24, 3/4

Answer:

Mars is 6.79 X 10^6 m

Step-by-step explanation:

Mars is at a distance of 206,600,000 km from the Sun at perihelion At aphelion, Earth is at a distance of 152,100,000 km from the Sun. This is a difference of 54,500,000 km, or 34,000,000 miles.  

Answer:

Mars is 6.79 X 10^6 m

Step-by-step explanation:

Make him brainliest!

He has exceeded the 20% equity threshold. He is exempt from paying PMI because his present equity is 38.38%.

Once your property has 20% equity, you can often ask to cease paying PMI after you've purchased it. When your equity reaches 22%, PMI is frequently immediately terminated. Only conventional loans are subject to PMI. Mortgage insurance for other sorts of loans frequently comes in different forms.

calculation

calculating the equivalent monthly payments

282,000 is the principal, and 5% each year, or 0.416667% per month, or 0.00416667, is the rate of interest. There are 360 installments total (30 years X 12)

Total monthly payments equal 1513.84 for the equated monthly mortgage and 299.17 for the PMI, for a total of $1,813.01 for the equated monthly mortgage and PMI.

He must continue paying the PMI until he gets 20% equity. now calculate his equity percentage.

He has exceeded the 20% equity threshold. He is exempt from paying PMI because his present equity is 38.38%.

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Answer: 52

Step-by-step explanation:

2[5 + 6 ÷ 2 (4 + 3)]

2[5 + 6 ÷ 2 (7)]

2[5 + 3 (7)]

2[5 + 21]

2[26]

52

Use PEMDAS

P - parenthesis - this means do the parenthesis first

E - exponent - if there are no parenthesis or you have already done it do the exponent next

M - multiply - if there are no parenthesis, or exponent or you have already done them multiply or divide whichever comes first on the right of the number

D - divide ^

A - add - what I said for multiply also counts for this except it is adding and subtracting instead of multiplying and dividing

S - subtract ^

\(S=\frac{1}{2}\times4\times4=8\ {\rm units}^2\)

\(\left\{co\ calculate\right.\ \ \ \ \ \ \ \ \ \ \left\{S=\frac{1}{2}\right.\left.\ ah\right\}\)

I hope this helps you

:)

Answer:

(3)     \(  \dfrac{P_1V_1}{V_2} \)

Step-by-step explanation:

\( P_1V_1 = P_2V_2 \)

Divide both sides by V2.

\( \dfrac{P_1V_1}{V_2} = P_2 \)

\(P_2 =\dfrac{P_1V_1}{V_2}\)

Using the Laplace transform to solve the given integral equation  f(t) = t, 0 ≤ t < 4 0, t ≥ 4 is \(\frac{4(1-2e^-5s)/}{s}\)

explanation is given in the image below:

Laplace remodel is an crucial remodel approach that's particularly beneficial in fixing linear regular equations. It unearths very wide programs in var- areas of physics, electrical engineering, manipulate, optics, mathematics and sign processing.

The Laplace transform technique, the function inside the time domain is transformed to a Laplace feature within the frequency area. This Laplace function could be inside the shape of an algebraic equation and it may be solved without difficulty.

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a) The value of z is not given as t =is  provided.

b) For the limit xy² cos(x) as (x,y) approaches (0,0), the limit does not exist.

c) The second partial derivatives of f(x, y, z) = (cos(x) - ln(2y) - 2e-³²)

a) The value of z cannot be determined as t is given as 풍, which is an unknown value. Without knowing the specific value of t, we cannot calculate z² or find the value of z.

b) To compute the limit of xy² cos(x) as (x,y) approaches (0,0), we can evaluate the limit along different paths. However, regardless of the chosen path, the limit does not exist. This can be shown by approaching (0,0) along different paths and observing that the limit yields different values, indicating non-convergence.

c) To find the second partial derivatives of f(x, y, z) = (cos(x) - ln(2y) - 2e-³²) 20, we need to differentiate twice with respect to each variable, x, y, and z. The partial derivatives can then be obtained by applying the appropriate rules of differentiation. The specific calculations for each second partial derivative are not provided in the question, so we cannot determine their values.

In summary:

a) The value of z cannot be determined without knowing the value of t.

b) The limit of xy² cos(x) as (x,y) approaches (0,0) does not exist.

c) The second partial derivatives of f(x, y, z) = (cos(x) - ln(2y) - 2e-³²) 20 are denoted as 3, but the specific values are not provided.

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a) The value of z is not given as t =is  provided.

b) For the limit xy² cos(x) as (x,y) approaches (0,0), the limit does not exist.

c) The second partial derivatives of f(x, y, z) = (cos(x) - ln(2y) - 2e-³²)

a) The value of z cannot be determined as t is given as 풍, which is an unknown value. Without knowing the specific value of t, we cannot calculate z² or find the value of z.

b) To compute the limit of xy² cos(x) as (x,y) approaches (0,0), we can evaluate the limit along different paths. However, regardless of the chosen path, the limit does not exist. This can be shown by approaching (0,0) along different paths and observing that the limit yields different values, indicating non-convergence.

c) To find the second partial derivatives of f(x, y, z) = (cos(x) - ln(2y) - 2e-³²) 20, we need to differentiate twice with respect to each variable, x, y, and z. The partial derivatives can then be obtained by applying the appropriate rules of differentiation. The specific calculations for each second partial derivative are not provided in the question, so we cannot determine their values.

In summary:

a) The value of z cannot be determined without knowing the value of t.

b) The limit of xy² cos(x) as (x,y) approaches (0,0) does not exist.

c) The second partial derivatives of f(x, y, z) = (cos(x) - ln(2y) - 2e-³²) 20 are denoted as 3, but the specific values are not provided.

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The probability that none of the solar panels are defective is 0.97.

So, the faulty solar panel percentage, p = 1/200 = 0.005.

Sample size, n = 6 likelihood that there are no damaged solar panels:

So, the probability: 0.97

Therefore, the probability that none of the solar panels are defective is 0.97.

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The numbers that neither terminate nor repeat are called irrational numbers.

What are irrational numbers?

Any real number that is not rational is called an irrational number. These numbers can not be expressed in the form of p/q, where q is not equal to 0. Sometimes, irrational numbers are also called non-terminating and non-repeating numbers.

Filling the blank with an appropriate term

The decimal representation of ___Irrational__ number neither terminates nor repeats.

Hence, the answer is irrational.

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To use the quadratic formula, we need to identify the values of a, b, and c.

1. In this case, the equation is 4x² - 3x - 8 = 0, so a = 4, b = -3, and c = -8.

2. x = (-b ±√(b² - 4ac))/2a.

3.  x = (3 ±√137)/8.

The Quadratic Formula is a mathematical equation used to solve second-degree equations.

To use the quadratic formula, we need to identify the values of a, b, and c in the equation ax² + bx + c = 0.

In this case, the equation is

4x² - 3x - 8 = 0,

so a = 4, b = -3, and c = -8.

Once the values of a, b, and c are known, we can substitute them into the Quadratic Formula:

x = (-b ±√(b² - 4ac))/2a.

In this equation, a = 4, b = -3, and c = -8, so the equation becomes

x = (-(-3) ±√((-3)² - 4(4)(-8)))/2(4).

Simplifying, we get x = (3 ±√(9 + 128))/8.

Finally, solving for x yields x = (3 ±√137)/8.

Therefore, the solution to the equation is

x = (3 ±√137)/8.

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5 is pushed to the stack.63- : 3 and 6 are pushed to the stack.  (10+5)/(6−3) is the equivalent infix expression.

Given postfix (reverse Polish notation) 105+63−/ is to be converted to its equivalent infix expression which is: (10+5)/(6−3).Explanation:Postfix notation (also known as Reverse Polish notation) is a way of representing expressions in which the operator follows the operands. So, first operand comes first followed by second operand and then operator.So, the given postfix (reverse Polish notation) can be explained as below:105+ : First, 1 and 0 are pushed to the stack. When the operator + is encountered, the top two operands are popped from the stack and added. Therefore, 5 is pushed to the stack.63- : 3 and 6 are pushed to the stack. When the operator - is encountered, the top two operands are popped from the stack and subtracted. Therefore, 3 is pushed to the stack./ : When the operator / is encountered, the top two operands are popped from the stack and divided. Therefore, the final result is 1.Now, let's convert it to the infix notation as below:(10+5)/(6−3)Hence, (10+5)/(6−3) is the equivalent infix expression.

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Triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The sides of triangle are 7, 15 and 21.

Let the largest angle be θ.

cosθ=7²+15²-21²/2×7×15

=-167/210

Since arc cos(-167/210)=142.68 degrees.

θ=142.68 degrees.

Which means θ>90 degrees.

So its a obtuse triangle.

7+15=22>21

21-7=14<15

So those angles can make a obtuse triangle.

Hence, triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

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Answer:

what is the question?

Answer to what?

Using expression, the following provides one explanation for why there are two ways to add up the symbols on the tablet.

A statement, at least two variables or integers, and one or more arithmetic operations make up a mathematical expression. This mathematical procedure makes it possible to multiply, divide, add, or subtract quantities.

The hieroglyphic number system of ancient Egypt employed a decimal system with hieroglyphs to denote the powers of ten. It is challenging to give a precise response, though, without being able to see the precise symbols on the tablet.

It is feasible that there are two distinct ways to add the numbers represented by the symbols on the tablet, presuming that the tablet is employing a fundamental arithmetic operation like addition and that each symbol represents a different number.

Finding two different sets of integers that, when added together, yield the same answer is one way to approach this issue.

As an illustration, if the symbols stand for 2, 3, and 5, one technique to add them up would be:

2 + 3 + 5 = 10

They might also be added up as follows:

3 + 7 = 10

In this instance, the number 2 would be represented by the sign 2, and the number 5 by the symbol 3. This could be one reason for why the symbols on the tablet can be added in two different ways.

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The probability of selecting a sample of 20 children and having exactly 3 children who are from multiple births is approximately 0.214

To calculate the probability of selecting a sample with exactly 3 children who are from multiple births, we need to use the binomial distribution formula

P(X = k) = C(n, k) × p^k × (1 - p)^(n - k)

where

X is the random variable representing the number of children from multiple births in the sample

k is the number of children from multiple births we are interested in (in this case, k = 3)

n is the sample size (in this case, n = 20)

p is the probability of selecting a child from a multiple birth (let's assume this is 0.03, or 3%, based on some statistics for multiple births in some regions).

C(n, k) is the number of ways to choose k children from a sample of n children, which is given by the binomial coefficient

C(n, k) = n! / (k! × (n - k)!)

Plugging in the values, we get:

P(X = 3) = C(20, 3) × 0.03^3 × (1 - 0.03)^(20 - 3)

= (20! / (3! × 17!)) × 0.03^3 × 0.97^17

≈ 0.214

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The radius of the circle is approximately 10.17 units (rounded to two decimal places).

To find the radius of the circle, we need to use the formula that relates the central angle to the length of the arc and the radius of the circle. The formula is given as:

arc length = radius x central angle

In this case, the arc length is given as 24.4 and the central angle is given as 2.4 radians. Substituting these values in the formula, we get:

24.4 = r x 2.4

Solving for r, we get:

r = 24.4 / 2.4

r ≈ 10.17

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Answer:

1/9

Step-by-step explanation:

The station elevations are listed in ascending order based on the station numbers.

To calculate the station elevations for an angular parabolic curve, we can use the given information and the formulas for vertical curves.

Given data:

- Grade 1: 2.60%

- Grade 2: 1.45%

- Station: 41425

- Elevation: 3306 ft

- 100-ft curve takeout at half station

We'll start by determining the elevation of the PVC (Point of Vertical Curvature) and the PVI (Point of Vertical Intersection) for the curve.

1. Calculation of PVC:

The PVC is located at the midpoint between the two grades, which is at station 41425 + 50 ft = 41475 ft.

2. Calculation of PVI:

The PVI is located 100 ft away from the PVC in the direction of the steeper grade. Since the steeper grade is 2.60%, the PVI will be at station 41475 + 100 ft = 41575 ft.

Next, we'll calculate the elevation at the PVC and the PVI using the grade and the elevation at station 41425.

3. Calculation of PVC Elevation:

Elevation at PVC = Elevation at station 41425 + (Grade 1 x Distance from station 41425 to PVC)

Elevation at PVC = 3306 ft + (0.0260 x 50 ft) = 3319.5 ft

4. Calculation of PVI Elevation:

Elevation at PVI = Elevation at station 41425 + (Grade 1 x Distance from station 41425 to PVI)

Elevation at PVI = 3306 ft + (0.0260 x 100 ft) = 3329 ft

Now we can tabulate the station elevations for the angular parabolic curve. We'll start from station 41425 and go in both directions, incrementing by 25 ft.

| Station   | Elevation (ft) |

|-----------|----------------|

| 41425     | 3306           |

| 41450     | 3312.75        |

| 41475     | 3319.5         |

| 41500     | 3326.25        |

| 41525     | 3333           |

| 41550     | 3339.75        |

| 41575     | 3329           |

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It necessary to apply the finite population correction factor (FPC) when a sample is a significant part of the population because for more than 5% of finite population the standard error in the estimated value will come to be too big.

The formula of FPC is

FPC =\(\sqrt{ (N-n)/(N-1)}\)

where N= population size

           n= sample size

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Answer: (2, -4) and (7, -1)

Step-by-step explanation:

Ok, the solutions of the system of inequalities are all the points that lie on the blue shaded part of the graph or in the solid line.

So, in order to see if the points are solutions of the system, then you need to locate the point in the graph and see if it is inside the shaded region or in the solid line (only in the segment that "touches" the shaded region).

Now, we want to find the equation of the solid line, we can see that it passes through the points (0, 6) and (6, 0)

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then, in this case, the slope is:

a = (0 - 6)/(6 - 0) = -1.

And to find the value of b, we have that when x = 0, y = 6.

y = 6 = -1*0 + b

6 = b

The equation is:

y = -1*x + 6

(-1, 5) is not in the blue region nor in the solid line, so this is not a solution.

(7, - 1) this point is near the solid line, let's test it:

y(7) = -1*7 + 6 = -1

So the point (7, -1) is on the solid line, and is the other solution of the system.

The point of intersection between the line and the plane is (1/113, 114/113, -171/113), which can be represented as the ordered triple (1/113, 114/113, -171/113).

To find the point of intersection between the plane and the line, we need to substitute the parametric equations of the line into the equation of the plane and solve for the parameter, t.

The equation of the plane is given by 7x + 6y + 6z = 11.

Substituting the parametric equations x = -4 - 5t, y = 3 - 8t, and z = -6 - 5t into the equation of the plane:

7(-4 - 5t) + 6(3 - 8t) + 6(-6 - 5t) = 11

Simplifying the equation:

-28 - 35t + 18 - 48t - 36 - 30t = 11

Combining like terms:

-113t - 46 = 11

Solving for t:

-113t = 57

t = -57/113

Now, we can substitute the value of t back into the parametric equations to find the corresponding values of x, y, and z:

x = -4 - 5t

y = 3 - 8t

z = -6 - 5t

Substituting t = -57/113:

x = -4 - 5(-57/113) = -4 + 285/113 = 1/113

y = 3 - 8(-57/113) = 3 + 456/113 = 114/113

z = -6 - 5(-57/113) = -6 + 285/113 = -171/113

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