The inverse of F(x) is a function

Answer:

h ≈ 30.10  ft

Step-by-step explanation:

Marie measures the angle of elevation from a point A to a tree as 34° . She works 10 ft directly towards the tree and discovered the new angle of elevation is 41°. The height of the tree can be computed below.

let

a = distance from point B to the tree

h = height of the tree

The right angle triangle formed from point B,  we can use tan to find the height of the tree.

tan 41°  = opposite /adjacent

tan 41° = h/a

cross multiply

h = a tan 41°

The right angle formed from point A

tan 34° = opposite/adjacent

tan 34° = h/(a + 10)

(a + 10)tan 34° = h

Therefore,

a tan 41° = (a + 10)tan 34°

0.8692867378

a =  0.6745085168(a + 10)

0.8692867378a = 0.6745085168a + 6.7450851684

collect like terms

0.8692867378a - 0.6745085168a = 6.7450851684

0.194778221a = 6.7450851684

a = 6.7450851684/0.194778221

a = 34. 629565532  ft

height of the tree can be find with

h = a tan 41°

h = 34. 629565532 × 0.8692867378

h =  30.103022053  ft

h = 30.10 ft

X=-10 and Y=13, look at the image attached to see the solution

Answer:

x = -10

y = 13

Step-by-step explanation:

- 3x + 2y = 56 ------ Equation 1

- 5x - 2y = 24 ------ Equation 2

Equation 1 + Equation 2.

-8x = 80

x = -10

Substitute x = - 10 into Equation 1.

-3(-10) + 2y = 56

30 + 2y = 56

2y = 26

y = 13

Answer:

D = 48

Step-by-step explanation:

because if AB is 24, YZ is the double, so YZ is 48

I don't know if this will help but I found this on YAHOO!

Answer: Domain of definition of a function is the set of numbers which the variable attains and for which the function is defined.

Step-by-step explanation:

f(x) = sqrt (5x-10)

Here x can have value equal to any real number >=2 because if x attains value less that 2, 5x-10 becomes negative and sqrt(5x-10) has no real value.

therefore the domain of the function f(x) is (2, infinity) inclusive of 2.

The domain of the above function is (2, ∞) .

Let y = f(x) be a function with an independent variable x and a dependent variable y.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

For the given function   [tex]y = \sqrt{5x-10[/tex]

The domain will be the value that satisfies the function and produces a value of y

For any value less than 2 , the value of v will be an imaginary number .

As the square root of a negative number will be an imaginary number.

Therefore (2, ∞) is the domain of the above function.

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This was already answered.

Answer:

The value of x is 60 ft.

Step-by-step explanation:

The area of a rectangle is

[tex]A=length \times width[/tex]

The area of school is

[tex]A=165\times 300=49500[/tex]

The area of old lot with school is

[tex]A=(165+75)(300+75)=90000[/tex]

The area of old lot without school is

[tex]A_1=90000-49500=40500[/tex]

The area of new lot with school is

[tex]A=(165+75+x)(300+75+x)=x^2 + 615 x + 90000[/tex]

The area of old lot without school is

[tex]A_2=x^2 + 615 x + 90000-49500=x^2 + 615 x + 40500[/tex]

It is given that the area of new parking lot will be twice the size of the old parking lot.

[tex]2A_1=A_2[/tex]

[tex]2(40500)=x^2 + 615 x + 40500[/tex]

[tex]0=x^2 + 615 x -40500[/tex]

[tex]0 = (x - 60) (x + 675)[/tex]

[tex]x=60,-675[/tex]

The value of x can not be negative. Therefore the value of x is 60 ft.

Answer:

having a set minimum or percentage for savings; whichever is greater

Step-by-step explanation:

Most saved situation is,

A) Having a set amount set aside for savings each time you are paid.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

To find Most saved situation.

Now,, We know that;

When, having a set amount set aside for savings each time you are paid- this can be the most possible answer.

And, Technically a person should save 20% to 25% of his income and this amount increases with income.

So, each time when you are paid, set aside the savings amount.

Thus, Most saved situation is,

A) Having a set amount set aside for savings each time you are paid.

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Answer: D

Step-by-step explanation:

PEMDAS.

1.6+3=4.6

4.6x2 = 9.2

9.2/2 = 4.6

Answer:D

Step-by-step explanation:

Answer:

The cross section is just at the center of the rectangle. Sorry if I couldn't be of more help but good luck.

Step-by-step explanation:

Formula: V = PI x r^2 x H

Volume = 3.14 x 4^2 x 10

Volume = 3.14 x 16 x 10

Volume = 3.14 x 160

Volume = 160π or 502.4 units^3

To find the volume of a cylinder, we use the formula represented below.

Volume = [tex]\pi[/tex][tex]r^{2}[/tex]h

Notice that our cylinder has a radius of 4 and a height of 16, so we can plug these numbers into our formula.

Image provided.

Answer:

Tationia Rolon

Step-by-step explanation:

Here

ANSWER

B. Function g has slope 3 which makes it steeper

EXPLANATION

The function f(x) has equation:

3x-y=6

We slope for y to get:

-y=-3x+6

y=3x-6

The slope of this function is 3.

The function g(x) passes through (-2,1) and (0,5).

The slope is

[tex]m = \frac{y_2-y_1}{x_2-x_1} [/tex]

[tex]m = \frac{5- 1}{0 - - 2} [/tex]

[tex]m = \frac{4}{2} = 2[/tex]

Function g has slope 3. Hence it is steeper.

The statement which correctly compares the slopes of two functions is:

If the slope of a function has a greater absolute value as compared to other then that function is steeper than the other.

Here we have a function f(x) as:

[tex]3x-y=6[/tex]

On changing to slope-intercept form of a line

i.e. y=mx+c

where m is the slope of the line and c is the y-intercept of the line we have:

[tex]f(x)=y=3x-6[/tex]

i.e. the  slope of function f(x) is: 3

The function g(x) is a graph that passes through (-2,1) and (-1,3)

The equation for y=g(x) is given by:

[tex]y-1=\dfrac{3-1}{-1-(-2)}\times (x-(-2))\\\\\\y-1=\dfrac{2}{-1+2}\times (x+2)\\\\\\i.e.\\\\\\y-1=\dfrac{2}{1}\times (x+2)\\\\\\i.e.\\\\\\y=2x+4+1\\\\\\i.e.\\\\\\y=2x+5[/tex]

( since we used a concept of a line passing through two-point (a,b) and (c,d) is given by the equation:

[tex]y-b=\dfrac{d-b}{c-a}\times (x-a)[/tex] )

Hence, the slope of function g(x) is: 2

The absolute value of slope of function f(x) is greater than function g(x)

( since 3>2 )

Hence, we get function f(x) is more steeper.

Answer:

x = -2 or x = sqrt(13)/2 - 3/2 or x = -3/2 - sqrt(13)/2

Step-by-step explanation:

Solve for x:

x^3 + 5 x^2 + 5 x - 2 = 0

The left hand side factors into a product with two terms:

(x + 2) (x^2 + 3 x - 1) = 0

Split into two equations:

x + 2 = 0 or x^2 + 3 x - 1 = 0

Subtract 2 from both sides:

x = -2 or x^2 + 3 x - 1 = 0

Add 1 to both sides:

x = -2 or x^2 + 3 x = 1

Add 9/4 to both sides:

x = -2 or x^2 + 3 x + 9/4 = 13/4

Write the left hand side as a square:

x = -2 or (x + 3/2)^2 = 13/4

Take the square root of both sides:

x = -2 or x + 3/2 = sqrt(13)/2 or x + 3/2 = -sqrt(13)/2

Subtract 3/2 from both sides:

x = -2 or x = sqrt(13)/2 - 3/2 or x + 3/2 = -sqrt(13)/2

Subtract 3/2 from both sides:

Answer:  x = -2 or x = sqrt(13)/2 - 3/2 or x = -3/2 - sqrt(13)/2

The answer to your question is 443.2 as the mean is the average

Answer: X = t or minus 4 square root 3 and X= 4 square root 3 Explanation: add 48 on both sides bring down x squared = 48 take the square root on both sides you get X= t or - 4 square root 3 and X=4 square root 3) Animex yw

Answer:

x = ±4√3

Step-by-step explanation:

Given:  x² = 48, find x.  Note that we must take the square root of both sides, and that there are 2 roots (solutions) because this is a second order equation.

√x² = ±√48

48 is not a perfect square, but it does factor into 16 (a perfect square) and 3 (not a perfect square).

Thus, x = ±4√3 (the last answer choice)

Answer:

B.) 45

Step-by-step explanation:

All that is needed to solve this problem is .75*60. Whenever there is a percentage, , just move the decimal place up two :).

Answer:

= 72 cm

Step-by-step explanation:

The ratio of lengths of two similar figures is called the linear scale factor.

In this case, the linear scale factor is 2/3

The linear scale factor is also equivalent to the ratio of the perimeter of two similar figures.

Therefore, 2/3 = 48/x

                x = 48 × 3/2

                   = 72 cm

The perimeter of the other polygon is 72 cm

Answer:

72 cm

Step-by-step explanation:

Given in the question, there are two similar polygons and the ratio of the corresponding side lengths is 2/3.

Perimeter of the smaller polygon = 48 cm

let perimeter of the larger polygon = x cm

We know that if two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.

So,

Perimeter of smaller polygon / Perimeter of larger polygon = 2 / 3

48 / x = 2 / 3

48(3) = 2(x)

144 = 2x

x = 72 cm

Answer:

y = x² - 10x + 41

Step-by-step explanation:

The standard form of a quadratic is ax² + bx + c : a ≠ 0

Given

y = (x - 5)² + 16 ← expand (x - 5)²

 = x² - 10x + 25 + 16

 = x² - 10x + 41 ← in standard form

Answer: [tex]y=x^2-10x+41[/tex]

Step-by-step explanation:

The standard form of a quadratic function is:

[tex]y=ax^2+bx+c[/tex]

You need to remember the square of a binomial:

[tex](a-b)^2=a^2-2ab+b^2[/tex]

Applying the above, you get:

[tex]y=(x-5)^2+16[/tex]

[tex]y=(x^2-2(x)(5)+5^2)+16[/tex]

Simplify the expression:

[tex]y=x^2-10x+25+16[/tex]

 Now you need to add the like terms.

THerefore, you get:

[tex]y=x^2-10x+41[/tex]

Answer: =−x−7y

Step-by-step explanation:

First, Distribute the Negative Sign:

=3x −2y+ −1(4x+5y),

=3x+ − 2y + − 1(4x) + −1 (5y),

=3x+ −2y + −4x + −5y

Then, Combine Like Terms:

=3x+−2y+−4x+−5y

=(3x+−4x)+(−2y+−5y)

Finally you get the answer :

= −x + −7y

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∞ 234483279c20∞

Answer:

-x - 7y

Step-by-step explanation:

First, get rid of the parentheses by multiplying them out. Multiply them by one for them to go away.

Now, you have 1(3x - 2y) - 1(4x + 5y).

Now simplify, and it's 3x - 2y - 4x - 5y (Yes, -5y! It's beause -1 * 5y = -5y. The sign is supposed to change).

Ok. The next is easy: Identify your matching variables.

3x , -4x and -2y , -5y

So, we're going to assume x comes before y in the new equation, as that's how it is alphabetically, and that's it.

-x - 7y.

Hope this helps!

Answer:

second one :p

Second one I think ;-;

Answer:

[tex]ED=32\ units[/tex]

Step-by-step explanation:

we know that

Applying the Intersecting Secant Theorem

[tex]AC*BC=EC*DC[/tex]

substitute the values

[tex](16+5)*(5)=(ED+3)*(3)[/tex]

Solve for ED

[tex](21)*(5)=(ED+3)*(3)[/tex]

[tex]35=(ED+3)[/tex]

[tex]ED=35-3=32\ units[/tex]

The answer is probably 36

Answer:

The answer is 36 inches

Step-by-step explanation:

Since the rectangle is 9 inches long and the length is 4 inches wide and you need to find the area the formula is A=L*W so you would multiply 9 and 4 which gives you 36

Answer:

B. 0.08

Explanation:

The general form of a linear equation is:

y = mx + c

where:

m is the slope or the rate of change (increase or decrease)

c is the y-intercept or the initial value

Therefore, in a linear equation, the slope simply gives us the rate of change of the function (increase/decrease)

Now, the given equation is:

y = 0.08x + 5

Comparing the given equation with the general form, we will find that:

m = 0.08

Therefore, the cost of water increase for every gallon (rate of change) is 0.08

Hope this helps :)

Answer:

The Answer is C

Step-by-step explanation:

The volume of the cylinder increases by a factor of 25 when the radius is increased by a factor of 5.

The volume of a cylinder is given by the formula:

Volume = π * (radius^2) * height

If the radius is increased by a factor of 5, the new radius is 5 times the original radius. Let's call the original radius "r" and the new radius "5r." The height remains the same.

Now, let's calculate the new volume with the increased radius:

New Volume = π * (5r)^2 * height

New Volume = π * 25r^2 * height

To find the effect on the volume, we can compare the new volume to the original volume:

Effect on Volume = (New Volume) / (Original Volume)

Effect on Volume = (π * 25r^2 * height) / (π * r^2 * height)

The π, height, and r^2 terms cancel out:

Effect on Volume = (25r^2) / (r^2)

Effect on Volume = 25

So, the volume of the cylinder increases by a factor of 25 when the radius is increased by a factor of 5.

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a rectangle and a square

A rectangle & a square

Answer:

B: If both pairs of opposite sides are =, then a parallelogram.

Step-by-step explanation:

If was right on my assignment

Quadrilateral ABCD is a rhombus and parallelogram.

A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus.

Given, in a quadrilateral ABCD,

AB= BC = CD = DA

Since A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.

A Quadrilateral is a Parallelogram, if any of this is possible in a Quadrilateral

Definition of a parallelogram.

All quadrilaterals are parallelograms.

If both pairs of opposite sides are equal.

Therefore, Quadrilateral ABCD is a rhombus and parallelogram.

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Answer:

sqrt(17)

Step-by-step explanation:

sqrt(49) = 7   rational

.06060606 (repeating) = 2/33  rational

1/6   rational

sqrt(17) irrational

Answer:

26.69 square meters

Step-by-step explanation:

A=r(3.14)

A= 8.5(3.14)

A=26.69 meters

Answer:

B. 8

Step-by-step explanation:

The sum of all exterior angles of pentagon is equal to 360°. There are such exterior angles: 62°, 66°, 77°, 59°, (12x)°. Thus, the sum

[tex]62^{\circ}+66^{\circ}+77^{\circ}+59^{\circ}+(12x)^{\circ}=360^{\circ},\\ \\264^{\circ}+(12x)^{\circ}=360^{\circ},\\ \\(12x)^{\circ}=360^{\circ}-264^{\circ},\\ \\(12x)^{\circ}=96^{\circ},\\ \\x^{\circ}=8^{\circ}.[/tex]

Answer:

It's 1/3

Step-by-step explanation:

6 possible outcomes, 2 desired.

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

There are 6 different possible numbers the cube can land on. Because it is a standard cube, all of the sides will have equal probability of getting landed on. 3 and 5 make up 2 out of 6 possibilities hence a probability of

[tex]\frac{2}{6}[/tex]

or

[tex]\frac{1}{3}[/tex]

PENTA = 5.

a regular polygon has all equal sides, so if one side is 5.8, all are, so the perimeter for this pentagon with 5 sides is 5.8 + 5.8 + 5.8 + 5.8 + 5.8 = 29.

[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} p=perimeter\\ a=apothem\\ \cline{1-1} p=29\\ a=4 \end{cases}\implies A=\cfrac{1}{2}(4)(29)\implies A=58[/tex]