If f(x)=2x+1/x-4, what is the value of f^-1(3)?

height of building A = 64 meters

height of building B = 87 meters

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Explanation:

Refer to the diagram below.

I have added points A,B,C,D to help find the heights needed.

Focus on triangle BAC. This is a right triangle with 58 degrees as one of the known acute angles (angle BAC = 58). Also known is the adjacent side AB = 40. The unknown side we're after is side BC

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tan(angle) = opposite/adjacent

tan(angle BAC) = BC/AB

tan(58) = BC/40

40*tan(58) = BC

BC = 40*tan(58)

BC = 64.013381161642

BC = 64 meters approximately

This is the approximate height of building A

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Now focus on triangle DAB

This is another right triangle. The acute angle is now 30 degrees as this is the angle of elevation.

tan(angle) = opposite/adjacent

tan(angle DAB) = DB/AB

tan(30) = DB/40

40*tan(30) = DB

DB = 40*tan(30)

DB = 23.094010767585

DB = 23 meters approximately

Add this onto BC to get

DC = DB+BC

DC = 64+23

DC = 87

Building B has a height of roughly 87 meters

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note: a more accurate value would be

DC = DB+BC

DC = 40*tan(30) + 40*tan(58)

DC = 87.107391929227

but when we round this to the nearest meter, we still get DB = 87

Answer:

Step-by-step explanation:

finding the first term by putting n=1

t(1)=4.[tex](1)^{2}[/tex] +2 = 4.1 +2 = 4+2 = 6

finding the second term by putting n=2

t(2)=4.[tex](2)^{2}[/tex] +2 = 4.4 +2 = 16+2 = 18

finding the third term by putting n=3

t(3)=4.[tex](3)^{2}[/tex] +2 = 4.9 +2 = 36+2 = 38

hence first three terms are:

               6,18,38,......,4[tex]n^{2}[/tex] +2

2 hours 45 minutes

12h30m - 9h45m =

= (12×60m + 30m) - (9×60m + 45m)

= 750m - 585m

= 165 minutes

= 120m + 45m

= 2 hours 45 minutes

Answer:

k = -2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

3.2k - 4.3 = 12.6k + 14.5

Step 2: Subtract 3.2k on both sides

-4.3 = 9.4k + 14.5

Step 3: Subtract 14.5 on both sides

-18.8 = 9.4k

Step 4: Divide both sides by 9.4

k = -2

Answer: 1/7

Step-by-step explanation:

Just divide the numbers to convert it to decimal.

Answer:

1/7

Step-by-step explanation:

1 divided by 7 using long division is 0.142857 repeated. Please give brainliest thanks

Answer:

It can always be written as a fraction.

Step-by-step explanation:

The importance of this question is to differentiate rational and irrational numbers.

Rational numbers can be written as a ratio, hence a fraction, or a repeating or terminating decimal.

Irrational numbers cannot be written as a ratio and will not have a terminating or repeating decimal.

So the first statement is true since the sum of two rational numbers will be rational.

The second statement is false since the sum of two rational numbers can absolutely be represented by a fractional ratio.

The third statement is false since the sum of two rational numbers is not always a repeating decimal.

The fourth statement is false since the sum of two rational numbers could be written as a terminating decimal.

Cheers.

I agree with the other person's response. The sum is always rational (it can always be written as a fraction of integers)

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Here's a proof:

Let x and y be two rational numbers. This means

x = a/b

y = c/d

where a,b,c,d are integers. The denominators b and d cannot be 0.

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Let's add x and y, then simplify

x+y = (a/b) + (c/d)

x+y = (ad/bd) + (bc/bd)

x+y = (ad+bc)/(bd)

This last expression is in the form p/q

p = ad+bc is an integer

q = bd is also an integer

we have a ratio or fraction of integers, therefore x+y is also rational

Answer:

Write its y-intercept as zero:

[tex]y=m\,x[/tex]

Step-by-step explanation:

If the line is given in slope-intercept form:

[tex]y=m\,x+b[/tex]

make sure that you keep the value of the slope (m) as it is (because you want a line parallel to this one so it has to have the same slope "m", and change the value of "b" to zero, leaving the line with the following form:

[tex]y=m\,x+0\\y=m\,x[/tex]

This forces the line to have its y-intercept at the value zero (origin of coordinates)

Answer:

Hi there!

Step-by-step explanation:

In my opinion, the answer should be 1 (and maybe 4)

We can tell 1)has no width is the answer because the lines the one dimensional.

So the answer has to be number 1.

And...

Number 4 might also be correct because that would be a line segment (which goes on in both directions)

********************************************

So your answer should be letter 1 (also it might be letter 4 too, but I am not that sure)

Hope this helps!

~Have a great day!~

If you have any questions feel free to ask! :)

Answer:

see below (I hope this helps!)

Step-by-step explanation:

The x seems to represent the number of months that Leslie has joined the gym for. When x = 0 (basically when she hasn't started using her membership), she pays 55(0) + 50 = $50 so we know that the 50 represents the one-time fee. The only thing missing is the monthly fee and since we haven't defined what the 55 means, we can conclude that the 55 represents the monthly fee. This makes sense because 55x is simply 55 times x, and since x is the number of months, 55 times that would be how much Leslie pays per month, otherwise known as the monthly fee.

Answer 55.1

Yeah boyyy

Answer:

Future Value = $405,151.38

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FV = PV * (1 + R) ^ N

FV = $209,350 (1.045) ^ 15 = $405,151.38

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PV = $209,350

R = 4.5%

N = 15 years

Step-by-step explanation:

Answer:

30.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

11 pi = 2 * pi *r

divide each side by 2 pi

11/2 = 2 ( pi) * r/ ( 2pi)

11/2 = r

We can find the area by

A =  pi * r^2

   =  pi ( 11/2) ^2

   =  pi ( 121/4)

   = pi ( 121/4)

   = 30.25 pi

Answer:

[tex]\Huge \boxed{30.25 \pi}[/tex]

Step-by-step explanation:

The circumference of a circle formula is:

[tex]C= \pi d[/tex]

The circumference is given, solve for d.

[tex]11\pi=\pi d[/tex]

Cancel [tex]\pi[/tex] from both sides.

[tex]11=d[/tex]

The radius is half the measure of the diameter.

[tex]\displaystyle r=\frac{11}{2} =5.5[/tex]

The area of a circle formula is:

[tex]A=\pi r^2[/tex]

Let r = 5.5, solve for the area.

[tex]A=\pi (5.5)^2[/tex]

[tex]A=\pi (30.25)=30.25\pi[/tex]

Answer:

z = -1

Step-by-step explanation:

0 = 8z + 8

-8 = 8z

-8/8 = z

z = -1

check:

0 = 8*-1  +  8

0 = -8 + 8

Answer:

15-29= -14

(I need the explanation most importantly)

14+(-4) - 8 =10-8=2

(Explanation please)

-8.4 - (19.5.) = - 27.9, (just add them to each other and write -, because both have - in front of them)

(Explanation)

-15 + 8 - (-19.7) = - 7+19,7=12,7 (there is + and - so it will became - 7, and at next there is two - which will turn them into +)

(Explanation)

29.45 - 56.009 - 78.2=−104,759 (all you have to is to put them all together, and than make it 29.45 less, writing - in front of them)

(Explanation)

LAST ONE

45.9 - (-9.2) + 5= 45.9+9.2+5=55.1+5=60.1 (because when there is 2 minus next to each other it will became plus)

Answer:

  2 1/4

Step-by-step explanation:

An absolute value cannot be negative, so the negative answer choices are eliminated. The point labeled C is 5 tick marks to the right of 1. We know from the other numbers on the line that 4 tick marks constitutes one unit, so C is 5/4 = 1 1/4 units to the right of 1. Its value is 2 1/4.

Answer:

8in

Step-by-step explanation:

The correct answer is eight inches

Answer:

[tex]\huge\boxed{n=-3}[/tex]

Step-by-step explanation:

[tex]-40-6n=2(1+4n)\\\\\text{Distribute the right side: }\left \{ {{2*1=2} \atop {2*4n=8n}} \right.\\\\-40-6n=2+8n\\\\-40+40-6n=2+8n+40\\\\-6n=42+8n\\\\-6n-8n=42+8n-8n\\\\-14n=42\\\\\frac{-14n}{-14}=\frac{42}{-14}\\\\\boxed{n=-3}[/tex]

Answer:

-3 = n

Step-by-step explanation:

-40 - 6n= 2(1 + 4n)

Distribute

-40 -6n= 2+8n

Add 6n to each side

-40 -6n+6n = 2+8n+6n

-40 = 2+14n

Subtract 2

-40-2 = 2+14n-2

-42 = 14n

Divide by 14

-42/14 = 14/14

-3 = n

Answer:

TT→T

Step-by-step explanation:

6 + 3 = 9

4 • 4 = 16

TT→T both equation are true

Answer:

You must drink  52 7/12 ounces or 52.58 ounces to reach the goal.

Step-by-step explanation:

Total amount of the water already drank is found by adding the fractions

So

3 1/10 ounces + 2 1/15 ounces + 6 5/20

Converting into improper fractions

31/10 + 31/15+ 125/20

Now finding the lcm of 10,15,20

so  Factors of 10 = 2 x 5

Factors of 15 = 5 x 3

Factors of 20 = 2 x2 x5

LCM= 5x2x2x3= 60

31*6/60 + 31*4/60 + 125*3/60

= 186+124+375/60

= 685/60 = 11.42 ounces

The amount of water already drank is 11.42 ounces

The amount remaining is found by subtracting the amount drank from the total amount

so

64 ounces - 11.42= 52.58

It can be solved in fractions as

64- 11 5/12

Again taking making improper fraction and taking lcm

64- 137/12

= 768-137/12 = 631/12= 52 7/12 ounces

Answer:

A

Step-by-step explanation:

true true true true true true

Answer:

False

Step-by-step explanation:

In order to tell if an inverse is a function, you have to do the horizontal line test. Create an imaginary line going horizontally on the map and if the graphed function goes through more than one line, then the inverse won't be a function. There can only be one point going through the imaginary line. Does that make sense?

Answer: how much you have done

Step-by-step explanation:

Answer:

t = -2

Step-by-step explanation:

To solve this equation, we can use algebraic techniques.

2(t + 5) + t = 4 Distribute the 2.

2t + 10 + t = 4 Combine like terms (variables).

3t + 10 = 4 Subtract 10 from both sides of the equation.

3t = -6 Divide by 3 on both sides of the equation.

t = -2

Answer:

0.08(50h)

Step-by-step explanation:

The amount of tax payable over a particular object or goods is always represented as a particular percentage of the total cost of buying or repairing an object.

From the above question we are given the expression,

0.08(50h) + 50h = Total amount Deborah is paying to repair her computer

Note that: Total amount payable by Deborah = Cost (Price or amount) of fixing the computer + Tax

h = number of hours required to repair the computer.

Hence, the Cost (amount) to repair the computer = 50 × h = 50h

In the expression, we have

0.08(50h) = 8% of 50h

Tax is always represented as percentage of the cost of fixing the computer

Hence, 0.08 or 8% of 50 h equal to = 0.08(50h) = The tax Deborah is paying.

Therefore, the expression repesents the amount of tax Deborah has to pay is 0.08(50h)

Answer:

10 miles

Step-by-step explanation:

So we know that it flies 5/8 of a mile in 1/16 of an hour. So after flying 5/8 of a mile 16 times, we will reach an hour. So we can do 5/8*16 and we get our answer of 10. So the bee will have traveled ten miles.

Answer:

The correct option is;

Domain: [1.8, 12.76]

Range: [0, 590.90]

Step-by-step explanation:

The given function is h(t) = -4.92·t² + 17.69·t + 575

The maximum height reached is found from equating the derivative of the function to 0 as follows;

d(h(t))/dt = d(4.92·t² + 17.69·t + 575)/dt = -2×4.92·t + 17.69

d(h(t))/dt = 0 gives;

-2×4.92·t + 17.69 = 0

-9.84·t + 17.69 = 0

-9.84·t  =  -17.69

t = -17.69/-9.84 = 1.79 ≈ 1.8

h(1.8) = -(4.92×1.8²) + 17.69×1.8 + 575 = 590.9

Also we have from equating the function to zero

h(t) = -4.92·t² + 17.69·t + 575 = 0

(t - 12.75)(t + 9.2) = 0

Therefore, when t = 12.76 h(t) = 0,

Therefore, we have; the domain which is the set of values of the independent variables is [1.8, 12.76]

The range = [0, 590.90].

Answer:

C on Edge

Step-by-step explanation:

Answer:

third, fourth and fifth

Step-by-step explanation:

The y- intercept is the coordinates of the point where the graph crosses the y- axis. At this point the x- coordinate is zero, thus

The function has a y- intercept at (0, 8 ) → fifth

The x- intercepts are the coordinates of the points where the graph crosses the x- axis. At these points the y- coordinate is zero, thus

The function has an x- intercept at (2, 0 ) →third

The function has an x- intercept at (4, 0 ) → fourth

hope you understand..................................................................

Answer:

[tex]\huge\boxed{ V = 3015.93\ cm\³}[/tex]

Step-by-step explanation:

Volume of Cylinder = [tex]\pi r^2 h[/tex]

Where r = 8 cm, h = 15 cm

=> V = (22/7)(8)²(15)

=> V = (22/7)(64)(15)

=> V = 21120/7

=> V = 3015.93 cm³

Answer:

[tex] \boxed{ \boxed{ \bold{ \sf{3014.4 \: {cm}^{3} }}}}[/tex]

Option B is the correct option

Step-by-step explanation:

Given,

Radius ( r ) = 8 cm

Height ( h ) = 15 cm

Let's find the volume of the cylinder having radius of 8 cm and height of 15 cm

Volume of cylinder : [tex] \sf{\pi \: {r}^{2} h}[/tex]

plug the values

⇒[tex] \sf{ \frac{22}{7} \times {8}^{2} \times 15}[/tex]

Evaluate the power

⇒[tex] \sf{ \frac{22}{7} \times 64 \times 15}[/tex]

Calculate

⇒[tex] \sf{3.14 \times 64 \times 15}[/tex]

⇒[tex] \sf{3014.4 \: {cm}^{3} }[/tex]

Hope I helped!

Best regards!!

Answer:

How to graph y=√5 -x is shown in attachment

Step-by-step explanation:

Answer:

  see attached

Step-by-step explanation:

As with any sort of graphing problem, pick values of x and compute the corresponding value of y. Then plot those (x, y) points.

For something like this, it is convenient to choose y and then compute the value of x that goes with it.

 y = 0 = √(5 -x)   ⇒   x = 5 -0² = 5

  y = 1 = √(5 -x)   ⇒   x = 5 -1² = 4

  y = 2 = √(5 -x)   ⇒   x = 5 -2² = 1

  y = 3 = √(5 -x)   ⇒   x = 5 -3² = -4

Once you have plotted the points, draw a smooth curve through them.

Answer: [tex]a = \frac{f-v}{t}[/tex]

This can be written as  a = (f-v)/t

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Work Shown:

[tex]f = v + at\\\\v + at = f\\\\at = f-v \ \text{ Subtract v from both sides}\\\\a = \frac{f-v}{t} \ \text{ Divide both sides by t}\\\\[/tex]

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Note

[tex]a = \frac{f-v}{t}[/tex] is the same as [tex]\frac{f-v}{t} = a[/tex]

Answer:

20

Step-by-step explanation:

8*50=400 /4*5=20

400/20=20

Answer:  -20

Step-by-step explanation:

-8 by 50   ÷   4 by 5

-8 × 50     ÷    4 × 5

[tex]\dfrac{-8\times 50}{4\times 5}\\\\\\=\dfrac{-2\times 10}{1\times 1}\\\\\\=\large\boxed{-20}[/tex]