Which figure is a dilation of figure A?

Answer:

c.) 30 degrees

Step-by-step explanation:

the sum of the angles of a triangle is 180 degrees

so if the third angle was x

then

x=180-(20+130)

x=180-150

x=30 degrees

The measure of third angle is 30 degree.

The total of a triangle's three internal angles is 180 degrees, as stated by the angle sum feature of a triangle. A closed shape with both inner and exterior angles, a triangle is created by three line segments.

Given:

Two angles are 20 and 130.

Using Angle sum property of triangle

<1 + <2 + <3 = 180

20+ 130 + <3= 180

150 + <3 = 180

<3 = 180- 150

<3 = 30

Hence, the third angle is 30 degree.

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Answer:

x = 20

Step-by-step explanation:

2 + 3x = 62

3x = 60

x = 20

Step-by-step explanation:

50000000=3000*2.6^t.

2.6^t=50000÷3

t÷2.6=50000÷3

t=50000*2.6÷3

a) On the left side of the equation, Cara should be combining the terms that involve the variable "p." b) On the right side of the equation, Cara should be combining the terms that also involve the variable "p."

Cara is solving the equation 3 + 2p + 2 = 2p + 15 - p. To simplify the equation, she needs to combine like terms on both sides. Like terms are terms that have the same variable and exponent. On the left side, Cara has the terms "2p" and "2." Both of these terms involve the variable "p," so she needs to combine them. By adding them together, she will get the combined term "2p + 2."

On the right side, Cara has the terms "-p" and "15." Again, both of these terms involve the variable "p," so she needs to combine them. By adding them together, she will get the combined term "15 - p."

Once she has combined the terms on both sides of the equation, Cara can proceed with further simplifications or solving for the variable "p" based on the updated equation.

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The binomial theorem cannot be used to expand expressions of the form (a - b)^n, where n is an even integer and a and b are real numbers.

The binomial theorem states that for any real numbers a and b, and a non-negative integer n, the expression (a+b)^n can be expanded as the sum of the terms in the form:
(a+b)^n = C(n,0) * a^n * b^0 + C(n,1) * a^(n-1) * b^1 + ... + C(n,n) * a^0 * b^n
where C(n,k) denotes the binomial coefficient, which can be calculated using the formula:
C(n,k) = n! / (k! * (n-k)!)
In this expansion, each term represents a product of the powers of a and b, with the exponents summing up to n. The binomial coefficients, C(n,k), indicate the number of ways to choose k items from a set of n items.
So, the binomial theorem allows us to expand expressions involving the sum of two real numbers raised to a power, using the binomial coefficients and the powers of the real numbers.

The binomial theorem is a powerful formula that allows us to expand expressions of the form (a + b)^n, where n is a non-negative integer. Specifically, the theorem states that (a + b)^n = sum from k=0 to n of (n choose k) * a^(n-k) * b^k, where (n choose k) denotes the binomial coefficient, which is equal to n! / (k! * (n-k)!). However, if we let b = -a, then (a + b)^n becomes (a - a)^n = 0^n = 0. Therefore, the binomial theorem cannot be used to expand expressions of the form (a - b)^n, where n is an even integer and a and b are real numbers. In such cases, we need to use alternative methods such as the difference of squares formula or the factor theorem.

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Answer:

Uhh which one? I don't see an attachment or anything

The concept that is most important in determining which good a person or nation will specialize in the production of is the concept of comparative advantage. Comparative advantage refers to the ability of an individual or nation to produce a particular good at a lower opportunity cost than another individual or nation. By determining the opportunity cost of producing different goods, an individual or nation can specialize in the production of the good with the lowest opportunity cost, which will allow them to produce that good more efficiently and at a lower cost than others.

To tell which good a person or country will specialize in, it is important to look at the opportunity cost of producing different goods. The opportunity cost of producing a particular good is the value of the next best alternative that must be given up in order to produce that good. By comparing the opportunity costs of producing different goods, an individual or nation can determine which good they have a comparative advantage in and choose to specialize in the production of that good.

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The answer to your question is an=2.3n - 1

Answer:

Step-by-step explanation:

Informally: When you multiply an integer (a “whole” number, positive, negative or zero) times itself, the resulting product is called a square number, or a perfect square or simply “a square.” So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.

No, the probability that a continuous random variable equals a certain value is zero does not imply that the probability of finding even or odd values is also zero.

The reason for this is that even and odd values are not specific points in the continuous probability distribution, but rather sets of points. For example, if we consider a uniform distribution over the interval [0, 1], the probability of any particular point in the interval is zero, including both even and odd values. However, the probability of finding an even value in the interval is 1/2, since half of the values in the interval are even. Similarly, the probability of finding an odd value is also 1/2. Therefore, the fact that the probability of a continuous random variable taking a certain value is zero does not imply anything about the probability of finding even or odd values.

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The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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Answer:

himself: grandmother: neighbor: total

3                       3                   6           12

Step-by-step explanation:

himself: grandmother: neighbor: total

1                  1                     2             4

The total lbs is 12

12/4 = 3

Multiply each by 3

himself: grandmother: neighbor: total

1*3                  1*3                 2*3        4*3

3                       3                   6           12

Answer:

Step-by-step explanation:

1.5 kilogram = 1.5* 1000= 1500

percentage = 300/1500 = 1/5 = 20%

Answer:

46%

Step-by-step explanation:

x : 100 = 23 : 50

x = (23 * 100)/50 = 46%

1.35% is the percentage change in the population of the city that grew from the years 2010 to 2020.

The population of the city = 89,000

Percentage in the growth of people from 2010 to 2015 = 6.8%

Percentage in the decline of people from  2015 to 2020 = 4.9%

The formula to calculate the percentage change is:

percentage change = (new value - old value) / old value x 100%

To calculate the population of the city after the growth of 6.8%

Population in 2015 = 89,000 x (1 + 6.8/100)

Population in 2015 = 95,012

To calculate the population of the city after the decline of 4.9%

Population in 2020 = 95,012 x (1 - 4.9/100)

Population in 2020 = 90,199.88

Population in 2020 = 90,200

The total change in the percentage of growth of population in the city is:

percentage change = (new population - old population) / old value * 100%

percentage change = (90,200 - 89,000) / 89,000 x 100%

percentage change = 1,200 / 89,000 x 100%

percentage change = 1.35%

Therefore, we can conclude that the population in the city grew by 1.35% from 2010 to 2020.

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Answer:

6x

Step-by-step explanation:

8x-2x

Answer:

x=5

Step-by-step explanation:

105 - 30 =75, which is how much we need to get the equation valid.

15x5=75

so, x=5

Answer: 5 fruit baskets.

Step-by-step explanation: To find the number of baskets she purchased, we need to use inverse operations. Inverse operations are the opposite of the operations used. So, instead of:

15x + 30 = 105

we need to do:

105 - 30 = ?/15

So, 105 - 30 = 75

So, instead of multiplying, we now divide.

So, 75/15 = 5

This is how I got my answer. I hope this helps!

Answer:

Probability ≈ 0.0833

Step-by-step explanation:

Consider steps below;

\(Total Possible Outcomes - 9C6,\\\\9! / 6! ( 9 - 6 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 * 9 / ( 1 * 2 * 3 * 4 * 5 * 6)( 1 * 2 * 3 ),\\\\362,880 / 720 * 6 = Combinations - 84,\\\\\)

\(Number Of Outcomes - 7C6,\\\\7! / 6! ( 7 - 6 )!,\\1 * 2 * 3 * 4 * 5 * 6 *7/ ( 1 * 2 * 3 * 4 * 5 * 6 ) ( 1 ),\\\\Outcomes - 7\)

\(Conclusion ; Solution - 7 / 84 = ( About ) 0.0833\\Hope That Helps!\)

Solution; Probability ≈ 0.0833

Using separation of variables, it is found that the solution to the initial value problem is of y(x) = x² + 2.

In separation of variables, we place all the factors of y on one side of the equation with dy, all the factors of x on the other side with dx, and integrate both sides.

In this problem, the differential equation is given by:

\(\frac{dy}{dx} = 2x\)

Then, applying separation of variables:

\(dy = 2x dx\)

\(\int dy = \int 2x dx\)

\(y = x^2 + K\)

Since y(0) = 2, we have that the constant of integration is K = 2, and the solution is:

y(x) = x² + 2.

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The differential equation is y(x) = x² + 2.

Differential Equations In Mathematics, a differential equation is an equation that contains one or more functions with their derivatives.

The given equation is;

\(\rm \dfrac{dy}{dx}=2x\)

Applying the variable separation method;

\(\rm \dfrac{dy}{dx}=2x\\\\\int\limits \, dy=\int\limits\, 2x. dx\\\\y = 2 \times \dfrac{x^{1+1}}{1+1} +c\\\\y = 2 \times \dfrac{x^{2}}{2} +c\\\\y = x^2+c\)

The value of c when y( 0 ) = 2 is c =2.

Hence, the required differential equation is y(x) = x² + 2.

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Answer:

The answer is going to be positive

this is the full answer for you're Q

please give me good

The time taken by the object to hit the ground will be 9 seconds.

A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.

Given that an object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is

s(t) = −4.9t²+ 9.8t + 308.7

To find the time taken put the function equal to zero.

−4.9t²+ 9.8t + 308.7 = 0

t² - 2t - 63 = 0

t² - 9t + 7t - 63 = 0

t ( t - 9 ) +7 ( t - 9 ) = 0

( t - 9 ) ( t + 7 ) = 0

t = 9 and -7(ignore)

t = 9 seconds

Therefore, the time taken by the object to hit the ground will be 9 seconds.

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Answer:

  34 square units

Step-by-step explanation:

You want the area of the triangle with vertices X(6, 8), Y(3, 3), and Z(13, -3).

There are several ways the area of a triangle can be calculated from the coordinates of the vertices. One relatively easy method is to find half the absolute value of the sum of the determinants of adjacent pairs of points.

This calculation is shown in the second attachment.

The area of ∆XYZ is 34 square units.

A slope calculation will tell you side XY is perpendicular to side YZ. This means you can find the area from the lengths of these two sides. The distance formula can tell you the lengths.

  XY = √((3 -6)² +(3 -8)²) = √(9 +25) = √34

  YZ = √((13 -3)² +(-3 -3)²) = √(100 +36) = 2√34

 Area = 1/2bh = (1/2)(√34)(2√34) = 34 . . . . square units

Pick's theorem tells you the area of a polygon with vertices on grid points can be found by counting the grid points on the boundary and interior to the boundary.

  A = i + (b/2) -1

This triangle has the three given vertices on grid points, along with point (8, 0), which is the midpoint of YZ. There are 33 interior points, so the area is ...

  A  = 33 +(4/2) -1 = 34 . . . . square units

The length of XZ is ...

  XZ = √((13 -6)² +(-3 -8)²) = √(49 +121) = √170

Heron's formula tells you the area is given by ...

  A = √(s(s -a)(s -b)(s -c)) . . . . . . where s = (a+b+c)/2, the semiperimeter

The third attachment shows this calculation gives an area of 34 square units.

__

Additional comments

The slope calculation tells you the slope of XY is ...

  m = (y2 -y1)/(x2 -x1) = -5/-3 = 5/3

and the slope of YZ is ...

  m = -6/10 = -3/5 . . . . . . . . the opposite reciprocal of the slope of XY

Hence these sides are perpendicular, as we noted above.

We like Pick's theorem for finding the areas of small figures with irrational side lengths (such as this one). It just involves counting, which is often easier than using a bunch of different formulas for slope or length.

The determinant formula is easy to compute, but tedious to enter on a calculator. It is much easier to program a spreadsheet for this. As with Pick's theorem, the method applies to a polygon with any number of vertices.

  \(\left|\begin{array}{cc}a&b\\c&d\end{array}\right|=ad-bc\)

In these 2×2 matrices, the coordinates can be listed in rows or in columns. It makes no difference to the calculation. The key is to work in one direction around the figure. (Here, we went CCW.)

The triangle is drawn in the first attachment. The geometry program that drew it also calculated its area to be 34 square units.

You may have noticed that the "determinant" method and Pick's theorem guarantee that the area of any polygon with integer coordinates will be an integer multiple of 1/2 square unit. That is, it will never be irrational. (You might not see that using Heron's formula.)

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Answer:

$496

Step-by-step explanation:

The population density for each animal is given as follows:

The population density is calculated as the division of the total population by the total area.

The area for this problem is given as follows:

2.22 million acres = 2,220,000 acres.

Hence the densities are given as follows:

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Answer:

49 +1 =50 is the answer you are looking for

To inflate the basketball with a diameter of 15 inches, it will take approximately 1,767.15 cubic inches of air.


1. First, find the radius of the basketball by dividing the diameter by 2.
  Radius = Diameter/2
  Radius = 15 inches / 2
  Radius = 7.5 inches

2. Next, use the formula for the volume of a sphere to find the volume of the basketball.
  Volume = (4/3) * π * (Radius³)
  Volume = (4/3) * π * (7.5 inches)³
3. Calculate the volume of the basketball.
  Volume ≈ (4/3) * π * (421.875 cubic inches)
  Volume ≈ 1,767.15 cubic inches


To determine the amount of air required to inflate the basketball with a diameter of 15 inches, we first find the radius by dividing the diameter by 2, which gives us 7.5 inches. Then, we use the formula for the volume of a sphere, (4/3) * π * (Radius³), and plug in the radius value. After calculating, we find that the volume of the basketball is approximately 1,767.15 cubic inches. Therefore, it will take about 1,767.15 cubic inches of air to inflate the basketball.

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Answer:

Sure, here are the numbers arranged from greatest to least

Step-by-step explanation:

Order from greatest to least

1.3, 4.5%, 1/3, -4/5, -0.04, -21.5%

Answer:

From the greatest to least

Step-by-step explanation:

1.3, 4.5%, 1/3, -4/5, -0.04, -21.5%

You can identify which number is greater than other by using a number line.

What is a number line?

A number line is what a math student can use to find the answer to addition and subtraction questions. A straight line, theoretically extending to infinity in both positive and negative directions from zero, that shows the relative order of the real numbers.

Hope this helps :)

Pls Brainliest...

The dimensions of the playground that maximize the total enclosed area is 100 feet.

Let,

L= length of entire playground

W = width of entire playground

Assume the dividing fence is parallel to the width.

Total fencing required

2L + 3W = 400

L= (400 − 3W)2

Area of entire playground,

A= L × W

= (400−3W)/2⋅W

= −3/2W^2 + 200W

Maximum area will occur at a point where the derivative of the area is equal to zero.

dA/dW = −3W+  200 = 0

W = 66 2/3

Substituting 91 1/3 for W in 2L + 3W = 400

gives

2L = 200

L = 100

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Answer:

1300/100 X 105 = 1365

1365/4 = 341.25 per week

341.25/40= 8.53125

$8.53

Answer:

Yes

Step-by-step explanation:

A whole number can be any number that doesn't have a decimal or fraction