In the diagram shown to the​ right, m∠ACB=66°. Find the following.

Answer:

O The ranges of g(x) and f(x) are the same, but their domains are not the same.

Step-by-step explanation:

The statement that best describes g(x) and f(x) is:

The domains of g(x) and f(x) are the same, but their ranges are not the same.

Option A is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The function g(x) is obtained by taking the parent function f(x) = ∛x and performing a series of transformations:

- shifting the graph horizontally 6 units to the left

- shifting it vertically 8 units downward.

Since the cube root function is defined for all real numbers, both g(x) and f(x) have the same domain, which is the set of all real numbers.

However, the transformations applied to f(x) change the shape of the graph and the range of the function.

In particular,

g(x) is shifted 8 units downward, so its range is shifted down by 8 units compared to the range of f(x).

Therefore,

The domains of g(x) and f(x) are the same, but their ranges are not the same.

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The total of money that Ronda will spend is $20.

We know the popcorn and candy values:

Each bag of popcorn cost $5

The price of each box of candy cost = Half of the popcorn price.

If the popcorn cost $5, the candy box is $5/2 = $2.5.

a.

Set popcorn as the y axis and candy box as the x-axis.

Let's make the equation.

Set y for each popcorn

Set x for each candy box

Then:

5y + 2.5x = 20

To sketch the graph.

Let's find the y-intercept:

To find the y-intercept, set x=0

Solve the equation for y:

Divide both sides by 5

Now, to find the x-intercept, set y =0

Divide both sides by 2.5:

Therefore, the graph would be like this:

b.

The graph represents the popcorn and candy box that Rhonda can buy, e.g.

If she buys 4 candy boxes, she will afford to buy 2 popcorns.

The y-intercept represents the total of popcorn bags that Rhonda can buy with $20, so she could buy 4 popcorns boy nono of candy boxes.

The x-intercept represents the total of candy boxes that Rhonca can boy with $20. Then. Rhonda could buy 8 candy boxes but none of the popcorn bags.

of

The nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

The percentage decrease theory suggests that a decrease in the price of a product or service will lead to an increase in demand for that product or service.

This theory is based on the idea that consumers are more likely to buy a product or service if its price is lower. This theory can be applied to both new and existing products or services.

For example, a retailer may decide to decrease the price of a product in order to attract more customers and increase sales. Similarly, a company may choose to reduce the cost of a service in order to make it more attractive to potential customers.

This question is using the percentage decrease theory. According to this theory,

you can calculate the percentage decrease by subtracting the current value from the original value and then dividing by the original value.

Step 1: Subtract the current number of wild tigers (3200) from the original number of wild tigers (20 years ago).

Original - Current = Change

120,000 - 3200 = 116,800

Step 2: Divide the change (116,800) by the original number of wild tigers (120,000)

Change / Original = Percentage Change

116,800 / 120,000 = 97%

Step 3: Multiply the percentage change (97%) by the original number of wild tigers (120,000)

Percentage Change x Original = Estimated Original

97% x 120,000 = 116,400

Therefore, to the nearest thousand, there were an estimated 116,000 wild tigers 20 years ago.

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The value of c is 1/17.

It is a branch of mathematics that deals with the occurrence of a random event.

Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2

We have to find the value of c

Since f(x) represents the probability distribution x = 0, 1 ,2

So we have f(0)+f(1)+f(2)=1

c(0²+4)+c(1²+4)+c(2²+4)=1

4c+5c+8c=1

17c=1

Divide both sides by 17

c=1/17

Hence, the value of c is 1/17.

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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?

a.

1/3

b.

1/17

c.

1/2

d.

1/13

Answer:

71 percent

Step-by-step explanation:

About 71 percent of the Earth's surface is water-covered, and the oceans hold about 96.5 percent of all Earth's water. Water also exists in the air as water vapor, in rivers and lakes, in icecaps and glaciers, in the ground as soil moisture and in aquifers, and even in you and your dog. Water is never sitting still.

The area of the earth's surface covered in water will be 63541028.57 square kilometres.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Given that about 5/7 of the earth's surface is covered with water. About 88957440 km squared is land.

The area covered with water will be calculated as,

Area = ( 5 / 7 )  x 88957440

Area = 63541028.57 square kilometres.

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Answer:

104.94ft^2

Step-by-step explanation:

area of circle =

\(\pi {r}^{2} \)

= π*7*7=153.93ft^2

area of triangle

\(.5 \times b \times h\)

here b = 14ft

h=7ft

area of triangle =. 49 ft^2

subtract them = 104.93

ab is diagonalizable and can be written as a product of invertible matrices.

Since a and b are both diagonalizable, there exist invertible matrices u and v such that \(uau^{-1} and vbv^{-1}\) are both diagonal matrices. Thus, we can rewrite ab as \(uau^{-1}vbv^{-1}\). Since matrix multiplication is associative, the order of multiplication does not matter and thus \(ab = u(au^{-1}vb)v^{-1}\). Since the \(au^{-1}vb\) is also diagonalizable, it can be written as c, where c is a diagonal matrix. Thus, \(ab = ucv^{-1}\), which is also a diagonal matrix. Therefore, ab is diagonalizable and can be written as a product of invertible matrices.

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Complete questiom:

Suppose that A and B are diagonalizable matrices of the same size, i.e.\ there exist invertible matrices U and V such that \(UAU^{-1} and VBV^{-1}\)are diagonal. Show that AB = UDEV, where UDEV is also a diagonal matrix.

\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

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The coordinates of polygon A'B'C'D' after the rotation of 180º are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

The five more known rotation rules are given as follows:

The original coordinates for this problem are given as follows:

A(0,0), B(5,2), C(5,-5), D(0,-3).

Exchanging the sign of each of the coordinates, the coordinates after the rotation are given as follows:

A'(0,0), B'(-5,-2), C'(-5,5), D'(0,3).

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The  best measure of center for the data shown is the median, and its value is 17.

The median is the best measure of center for the given data set. To find the median, we arrange the numbers in ascending order:

10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24

Since the data set has an odd number of values, the median is the middle value, which in this case is 17.

Therefore, the best measure of center for the data shown is the median, and its value is 17.

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Answer:

x = 1053.07 ft

Step-by-step explanation:

So if you look at the diagram I drew it might become a bit more apparent what you have to do. For this problem you'll need to use one of the six trigonometric functions. In this case you know the angle and the opposite side of the angle, and you need the adjacent side. The trigonometric function tan is defined as \(\frac{oppposite}{adjacent}\). So let's plug in the known values:

\(tan(8) = \frac{148}{x}\)

multiply both sides by x

\(tan(8) * x = 148\)

Divide both sides by tan(8)

\(x=\frac{148}{tan(8)}\)

Calculating tan of 8 degrees using a calculator

\(x=\frac{148}{0.141}\)

Simplify

x = 1053.07 ft

Answer:

8x-6y

when x=5 and y=4

=8(5)-6(4)

=40-24

=16

Answer:

its 780 minutes

Step-by-step explanation:

multiply 13 by 60

Answer:

Please help im on that 2dd

Step-by-step explanation:

dddd

a.

$70,440 is the loan on 12 months by Credit union

$88,050 is the loan on 24 months, the loan on 12 months to compare is $44,025

B.the loan by Credit union will cost less but it must be paid in less time

C.we do the subtraction of each total loan

the first method would cost $17,610 less

Answer:

option 1

Because not all of them are equal lengths

Answer:

♡ hi there, madi here! ♡

hope your having a great day.

I did the math so here's your answer.

2x−3)(x−3)=0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

2x-3=0.   x-3=0

Set the first factor equal to 0 and solve.

x=3/2

Set the next factor equal to 0 and solve.

x=3

Therefore, the final solution is all the values that make (2x-3) (x-3)=0 true. x=3/2,3♡

✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧･ﾟ: *✧･ﾟ:･ﾟ✧*:･ﾟ✧

Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

Answer:

11

Step-by-step explanation:

3^2 + 1 • 2 = 11

NOTE:

'^' is the exponent symbol

The value of a4 would be equal to -666.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Given that \(a_0=10\) and \(a_n+1=-5a_n\)

This is a recursive formula. So we can simply substitute in each value. For instance, a₂

Use the recursive definition repeatedly.

a2 = -5(6) +4 = -26

 a3 = -5(-26) +4 = 134

 a4 = -5(134) +4 = -666

Therefore, the value of a4 is -666

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Given:

The graphed point is (60,-20).

To find:

The ordered pair that would form a proportional relationship with the given point.

Solution:

If y is proportional to x, then

\(y\propto x\)

\(y=kx\)

\(\dfrac{y}{x}=k\)

Where, k is the constant of proportionality.

For the given point,

\(k=\dfrac{-20}{60}\)

\(k=\dfrac{-1}{3}\)

For option (A),

\(k=\dfrac{30}{-10}\)

\(k=-3\neq \dfrac{-1}{3}\)

For option (B),

\(k=\dfrac{-15}{30}\)

\(k=-\dfrac{1}{2}\neq \dfrac{-1}{3}\)

For option (C),

\(k=\dfrac{10}{-30}\)

\(k=\dfrac{-1}{3}\).

The point (-30,10) gives the same value of the constant of proportionality. So, the point (-30,10) forms a proportional relationship with the given point.

Therefore, the correct option is C.

Answer:

30,000

Step-by-step explanation:

150 x 200

Explanation:

To find the area you need to multiply the two numbers. Therefore, giving you your correct awswer.

Answer:

c

Step-by-step explanation:

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

For the given statements f(-x) = -4|x| - 5x^3 = -f(x), we can conclude that f(x) is an even function.

A function that fulfils f(-x) = f(x) for any x inside the function's domain is said to be even. The graph of an even function displays reflected y-axis symmetry geometrically. The even functions \(f(x) = x^2 and f(x)\) = cos are two examples (x).

A function is considered odd if it meets the condition f(-x) = -f(x) for all x inside its domain. An odd function's graph displays origin rotational symmetry geometrically. Odd functions include such like \(f(x) = x^3 and f(x) = sin (x).\)

The given function is \(f(x) = -4|x| + 5x^3.\)

An even function is a function that satisfies f(-x) = f(x).

For the function:

\(f(-x) = -4|-x| + 5(-x)^3\)

\(f(-x) = -4|x| - 5x^3\)

\(f(x) = -4|x| + 5x^3\)

Since\(f(-x) = -4|x| - 5x^3 = -f(x)\), we can conclude that f(x) is an even function.

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Answer:

HELP ASAP THIS IS GEOMETRY

Step-by-step explanation:

HELP ME PLEASE will give brainliestHELP ASAP THIS IS GEOMETRYHELP ME PLEASE will give brainliestHELP ASAP THIS IS GEOMETRYHELP ME PLEASE will give brainliestHELP ASAP THIS IS GEOMETRYHELP ME PLEASE will give brainliestHELP ASAP THIS IS GEOMETRYHELP ME PLEASE will give brainliestHELP ASAP THIS IS GEOMETRYHELP ASAP THIS IS GEOMETRYHELP ASAP THIS IS GEOMETRYHELP ME PLEASE will give brainliestHELP ASAP THIS IS GEOMETRYHELP ME PLEASE will give brainliestHELP ASAP THIS IS GEOMETRYHELP ME PLEASE will give brainliestHELP ASAP THIS IS GEOMETRYHELP ASAP THIS IS GEOMETRY

Answer: line is the correct answer

Step-by-step explanation:

In math, there are three terms that are “undefined”: point, line, and plane

Answer:  b) Line

Step-by-step explanation:

Lines and planes are considered undefined because they contain an infinite number of points. Also, lines and planes have no width or length.

The assumption in answering the question is that no student scored 0

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

The bar chart

On the bar chart, we hae

Students that score more than 8 = 5

Students in the class = 33

The (b) is calculated by considering all students that score more than 0 from the histogram

This means that the assumption is that no student scored 0

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Answer:

x = - 4

Step-by-step explanation:

∠ FEI and ∠ IED form ∠ FED , that is

∠ FEI + ∠ IED = ∠ FED ( substitute values )

x + 66 + x + 61 = 119

2x + 127 = 119 ( subtract 127 from both sides )

2x = - 8 ( divide both sides by 2 )

x = - 4