A triangle has sides of lengths 38 cm, 46 cm, and 60 cm. Find the perimeter of the triangle.

The coordinates in the solution to the systems of inequalities is (12, 1)

From the question, we have the following parameters that can be used in our computation:

y > -4x + 6

y > 1/3x - 7

Next, we plot the graph of the system of the inequalities

See attachment for the graph

From the graph, we have solution to the system to be the shaded region

The coordinates in the solution to the systems of inequalities graphically is (12, 1)

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Applying the definition of congruent triangles, the values of x and y are:

x = 11; y = 6

If two triangles are congruent, all of it corresponding parts, which are angles and sides, will have equal measure.

Since triangles RWS and TUV are congruent triangles, therefore:

<R = <T

<W = <U

<S = <V

RW = TU

WS = UV

RS = TV

Thus, find the value of x:

90 + 8x - 27 + 29 = 180

92 + 8x = 180

8x = 180 - 92

8x = 88

Divide both sides by 8

8x/8 = 88/8

x = 11

Find the value of y:

RS = TV

Substitute

25 = 3y + 7

25 - 7 = 3y

18 = 3y

18/3 = y

y = 6

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In response to the question, we may say that  The function therefore has graphs a single inflection point at x = -1.

Graphs are used by mathematicians to rationally represent or chart facts or values. Often, a graph point will show a connection between two or more objects. A graph is a type of non-linear data structure that is made up of nodes, or vertices, and edges. affix the nodes, also referred as as vertices. This graph includes edges E=1, 2, 1, 3, 2, 4, and (2.5) and vertices V=1, 2, 3, 5. (3.5). (4.5). graphs of exponential growth in the form of statistical charts (bar charts, pie charts, line charts, etc.). the form of a triangle-shaped logarithmic graph.

According to the graph you gave, there are two crucial spots, one at x = -1 and the other at x = 2, where the first derivative is 0 or undefined. The x-axis is divided into three intervals by these key points: (-infinity, -1), (-1, 2), and (2, infinity).

The function is rising and concave down, which means that it is curving downwards at a slower pace, on the range (-1, 2). As a result, when x = -1, there is an inflection point.

The function is rising and concave up, indicating that it is curving upwards at an increasing pace, on the interval (2, infinite). As a result, this interval lacks an inflection point.

The function therefore has a single inflection point at x = -1.

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Answer: 1/3 pounds

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

I need a bat a hit ball with this sport.

The word "sport" refers to Baseball game.

Baseball is a team ball game played by two teams, namely the pitcher team and the batter team. The game begins when the pitcher throws the ball to the batter who is called the batter. Baseball is almost the same as softball, but the size of the tools used and the fields are different.

Baseball is included in small ball games and is often included in sports lessons at school. In order to play proper baseball, there are several rules that need to be observed. In addition, the complete protection needs to be met so that players can avoid injury.

Baseball game was first created in Coperstown, New York in 1883 by Abner Doubleday. But the first baseball rules made in 1845 by Alexander J. Cartwright.

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Just add the powers while it is multiply

-1+(-3)

= -1 - 3

= -4

So it is \(2^{-4}\)

Answer:

1/6

Step-by-step explanation:

slope = (5-4)/(9-3)

1/6

Answer:

a. 0.4 = 40% probability that your bid will be accepted

b. 0.8 = 80% probability that your bid will be accepted.

c. $15,000.

d. Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

\(P(X < x) = \frac{x - a}{b - a}\)

Assume that the competitor’s bid x is a random variable that is uniformly distributed between $10,000 and $15,000.

This means that \(a = 10, b = 15\), considering the measures in thousands of dollars.

a. Suppose you bid $12,000. What is the probability that your bid will be accepted?

Probability that the other bidder's bid is less than 12000(X < 12). So

\(P(X < 12) = \frac{12 - 10}{15 - 10} = \frac{2}{5} = 0.4\)

0.4 = 40% probability that your bid will be accepted.

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

Probability that the other bidder's bid is less than 14000(X < 14). So

\(P(X < 14) = \frac{14 - 10}{15 - 10} = \frac{4}{5} = 0.8\)

0.8 = 80% probability that your bid will be accepted.

c. What amount should you bid to maximize the probability that you get the property?

The upper bound of the uniform distribution, that is, $15,000.

d. Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not?

Bidding $15,000 guarantees you a profit of $1,000, while trying to bid less than $15,000, you can end up without a profit, thus, you should not consider bidding less than the amount in part (c).

A Reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

The function f(x) = -|x| − 3 can be graphed by following these steps:

Therefore, the correct graph is an option (D). The graph of the option (D) shows a reflection over the y-axis and a shift downwards by three units, which is consistent with the function f(x) = -|x| − 3.

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Answer: 4

Step-by-step explanation:

Answer:

VP = 21

ZP = 7

Step-by-step explanation:

✔️Given that z is the centroid, thus, based on the centroid theorem:

\( VZ = \frac{2}{3}(VP) \)

VZ = 14

Plug in the value of VZ into the equation

\( 14 = \frac{2}{3}(VP) \)

Multiply both sides by 3

\( 14 \times 3 = \frac{2}{3}(VP) \times 3 \)

\( 42 = 2(VP) \)

Divide both sides by 2

42/2 = VP

21 = VP

VP = 21

✔️ZP = VP - VZ

ZP = 21 - 14

ZP = 7

Answer: C

Step-by-step explanation:

Answer:

Last one D.

Step-by-step explanation:

Just remember x, f(–x) = –f(x).

Answer: 45/53

Step-by-step explanation:

CAH is Adjacent over Hypotenuse

Answer:

weight of hot dog bun = 240 cm^3 x 0.15 g/cm^3 = 36 gram

36 gm / 195 cm^3 = 0.185 g/cm^3

Step-by-step explanation:

Density is mass/volume. The mass of the bun never changes, only its volume. Solve for the original mass.

Now think about it logically. Should the bun be more sense now that it has been crushed? Of course! The math proves it.

      Therefore the answer is: 0.185 g/cm^3

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

113.04 square feet

Step-by-step explanation:

A = π\(r^{2}\)

A = π \((6\)\()^{2}\)

A = 3.14 (36)

A = 113.04

Answer:

12 years roughly ends in $2,817.08

Step-by-step explanation:

Answer:

  (d)  112 m²

Step-by-step explanation:

The area of a parallelogram is given by the formla ...

  A = bh . . . . . . where b is the base length and h is the height

__

Here, the base is divided into parts, but their total length is 5m+9m = 14m. The height is given as 8m, so the area is ...

  A = (14 m)(8 m) = 112 m²

The area of the parallelogram is 112 square meters.

__

Alternate solution

You can also figure this as the sum of the areas of the two triangles and that of the center rectangle.

  A = 2(1/2bh) +bh

  A = 2(1/2(5 m)(8 m)) +(9 m)(8 m) = 40 m² +72 m² = 112 m²

Answer:

a

Step-by-step explanation:

the perimeter (P) of a square is the sum of the 4 congruent sides.

the area of a square is calculated as

area = s² ( s is the length of a side )

here area is 36 , then

s² = 36 ( take square root of both sides )

s = \(\sqrt{36}\) = 6

then

P = 4s = 4 × 6 = 24 cm

Answer:

The range of the function is: -∞≤y≤∞.

Consider the provided function.

The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.

The range of a cubic root function is all real numbers.

Now consider the provided function.

The above function can be written as:

Taking cube on both sides.

The graph of the function is shown in figure 1:

For any value of x we can find different value of y.

Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is  -∞≤y≤∞ .

Therefore, the range of the function is: -∞≤y≤∞ (A).

The box plot that best represents the data is given as follows:

Box plot C.

A box and whisker plot shows these five metrics from a data-set, listed and explained as follows:

The ordered data-set for this problem is given as follows:

0, 4, 4, 5, 6, 6, 8, 8, 12, 12.

The minimum and maximum values are given as follows:

The two middle elements are given as follows:

6 and 6.

Hence the median is:

(6 + 6)/2 = 6.

The first half is 0, 4, 4, 5, hence the first quartile is given as follows:

4.

The second half is 8, 8, 12, 12, hence the third quartile is given as follows:

8.

Hence box plot C is the correct option.

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The value of a is 3√2 when the two geometric sequences of positive real numbers of 6, a,b and 1/b, a,54.

A sequence of the numbers in which all the numbers are arranged in such a manner so that the ratio of two successive numbers is always constant,

The geometric progression and the constant ratio are known as the common ratio (r).

A general G.P. can be represented as:

a,ar,ar²,ar³,...............,arⁿ⁻¹,........

Where a=First term, r is the Common ratio and the n=Number of terms.

The nth term of a G.P.:

an=arⁿ⁻¹

Some of the infinite terms of a G.P.:

S∞=a/1−r

Here  r<1

Let:

\(a_n=a_1q^n^-^1\\a_n_-_1=a_1q^n^-^2\\a_n_+_1=a_1q^n\)

Now multiply the last two equations:

\(a_n_-_1 a_n_+_1=a_1q^n^-^2a_1q^n\\\\a_n_-_1 a_n_+_1=a_1^2+q^n^-^2q^n\\\\a_n_-_1 a_n_+_1=a_1^2+q^n^+^n^-^2\\\\a_n_-_1 a_n_+_1=a_1^2+q^2^n^-^2\\\\a_n_-_1 a_n_+_1=a_1^2+q^2^(^n^-^1^)\\\\a_n_-_1 a_n_+_1=a_1^2+q^(^n^-^1^)^2\\\\\sqrt{a_n_-_1 a_n_+_1} =a_1^2+q^(^n^-^1^)\\\\\sqrt{a_n_-_1 a_n_+_1}=a_n\)

Formula:

\(a_n=\sqrt{a_n_-_1a_n_+_1}\)

a=√6b-----(1)

a=√1/b*54----(2)

By Equalating both equations:

6b=√1/b*54

b²=54/6

b²=9

b=3

substitute the b value in equation(1)

a=√6b

a=√6*3

a=√18

a=3√2

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The graph of y = 3 x 2^x passes through the coordinate points (2,12) and (3,24).

To write a question in the form of y=a x b^x that passes through the coordinate points (2,12) and (3,24), we need to solve for the values of a and b.

First, let's substitute the coordinates (2,12) into the equation:
12 = a x b^2

Next, let's substitute the coordinates (3,24) into the equation:
24 = a x b^3

We now have two equations with two unknowns (a and b), which we can solve using algebra.

From the first equation, we can solve for a:
a = 12 / b^2

We can then substitute this value of a into the second equation:
24 = (12 / b^2) x b^3

Simplifying this equation, we get:
2 = b

We can then substitute this value of b back into the equation for a:
a = 12 / 2^2
a = 3

Therefore, the equation of the graph that passes through the coordinate points (2,12) and (3,24) is:
y = 3 x 2^x

We can check that this equation is correct by plugging in the coordinates:
When x = 2: y = 3 x 2^2 = 12
When x = 3: y = 3 x 2^3 = 24
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Answer:

  128

Step-by-step explanation:

You want a prediction for x=2 when the given data is modeled by an exponential model.

A graphing calculator's exponential regression function models this data with the formula ...

  y = 135.7 · 0.9711^x

  y = 137.7 · 0.9711^2 ≈ 127.94 . . . . when x=2

This model gives a value for variable 2 of approximately 128 when variable 1 = 2.

<95141404393>

Answer:

$80

Step-by-step explanation:

Let the number of hours required to make a mailbox = x

Let the number of hours required to make a toy = y

Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita.

Each toy requires 1 hour of work from Carlo and 1 hour from Anita.

The table below summarizes the information for ease of understanding.

\(\left|\begin{array}{c|c|c|c}&$Mailbox(x)&$Toy(y)&$Maximum Number of Hours\\--&--&--&------------\\$Carlo&1&1&12\\$Anita&4&1&24\end{array}\right|\)

We have the constraints:

\(x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0\)

Each mailbox sells for $10 and each toy sells for $5.

Therefore, Revenue, R(x,y)=10x+5y

The given problem is to:

Maximize, R(x,y)=10x+5y

Subject to the constraints

\(x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0\)

The graph is plotted and attached below.

From the graph, the feasible region are:

(0,0), (6,0), (4,8) and (0,12)

At (6,0), 10x+5y=10(6)+5(0)=60

At (4,8), 10(4)+5(8)=80

At (0,12), 10(0)+5(12)=60

The maximum revenue occurs when they use 4 hours on mailboxes and 8 hours on toys.

The maximum possible revenue is $80.

Answer:

The answer is A [   5(a + 6)   ]

Step-by-step explanation: