If fx) and f^-1(x) and inverse functions of each other and f(x) =2x+5, what is f^-1(8)?


PLZ HELP

Answer:

b

Step-by-step explanation:

Answer: B

Step-by-step explanation: I think hope this helps

Answer:

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Answer:

B.

Step-by-step explanation:

So, lets remember a few things first.

#1: The formula for finding the answer is A^2+B^2=C^2

#2: A is the opposite side, B is the adjacent side, and C is the hypotenouse side.

Now lets plug in what we already know, and see if we canf igure out the annswer:

A^2+12^2=13^2

Now I am going to stop us here. This is your equation that will find the answer. In your question, they use x^2, A^2 is a variable you can use instead. But looking at this, answer B and my equation I wrote above are exactly the same.

If you want, here is how I further solved it, this might give you a better grasp on what to do for future problems:

Ok, not  too bad, the A is the unkown value, which is the opposite side.

Now, how do we figure this out? Well, we just need to sovle for A.

To do this, lets clean up our equation by first sqauring all the values(except for the unkown):

A^2+144=169

Ok, that looks better, now lets just subtract the adjeacent side(b), which is 144, from the hypotenouse side(c), which is 169.

This will now look like:

A^2=25(169-144=25)

Ok, just one more step to go. Just square root both sides of the equation, this way, we will get ride of the ^2 on A(opposite side), and get A alone.

([tex]\sqrt{A^2}=A[/tex])=([tex]\sqrt{25}=5[/tex])

A=5

This is your answer.

Answer:

33,333 ft^3

Step-by-step explanation:

A pyramids volume can be defined by V=lwh/3. We know the base is 1000 ft^2, so we multiply that by an additional 100 for the height. We then have 100,000 ft^3. After that, we simply divide it by three, which is 33,333.3 repeating, and round it to 33,333 ft^3

Answer:

3,850

Step-by-step explanation:

have a good day!!

Answer:

The volume of the silo is approximately  147,026.6 ft.³.

The most correct option is  147,026.5 ft.³

Step-by-step explanation:

The given dimensions of the silo are;

The shape of the silo = Composite figure of tower and roof

The shape of the tower = Cylindrical

The shape of the roof = Cone

The radius of the base of the silo, 'r' = 30 feet

The height of the cone roof of the silo, h₁ = 12 feet

The height of the entire silo = 60 feet

For the cone roof, we have;

The volume of a cone, V = 1/3 × Base area × Height

The volume of the cone roof, V₁ = 1/3×π·r² × h₁

∴ V₁ = 1/3 × π × (30 ft.)² × 12 ft. ≈ 11,309.7336 ft.³

For the cylindrical tower, we have;

The height of the entire silo = The height of the tower + The height of the roof

∴ The height of the tower = The height of the entire silo - The height of the roof

The height of the tower, h₂ = 60 ft. - 12 ft. = 48 ft.

The volume of a cylinder = Area of base × Height

The volume of the cylindrical tower, V₂ = π·r² × h₂

∴ V₂ = π × (30 ft.)² × 48 ft. ≈ 135,716.803 ft.³

The volume of the cylindrical tower, V₂ ≈ 135,716.803 ft.³

The volume of the (entire) silo, Vₙ = V₁ + V₂

∴ Vₙ = 11,309.7336 ft.³ + 135,716.803 ft.³ = 147,026.573 ft.³

The volume of the (entire) silo, Vₙ ≈ 147,026.6 ft.³.

Answer:

147,026.5 ft.³

Step-by-step explanation:

Answer:

C) 70

Step-by-step explanation:

m<1 = m<3 because of vertical angles

Since <3 = 70,

<1 also equals 70

Answer:

Angle J and angle MJK or maybe right angle....

These are the three ways...

Hope it helps

Step-by-step explanation:

Answer:

<QRP=42 degrees

Step-by-step explanation:

Since the angles are sequential, they are the same. This is because the transversal cuts across parallel lines, creating said sequential angles.

Answer:

42 degrees since QS&TV are parallel

Answer:

40 in²

Step-by-step explanation:

There are four triangles for each side of the pyramid, and the height is three inches. The area of a triangle is base times height divided by 2, so each triangle is 6 in².

4(base) x 3(height) ÷ 2 = 6

Multiply 6 by 4 because there are four triangles, which is 24.

Once you have that, the only surface left is the bottom of the pyramid. You can find this by multiplying 4 by 4, since it's a square.

4 x 4 = 16

If you add 16 and 24 together, that's your answer.

Answer:

40

(its right i did this)

Answer:

v = 120

Step-by-step explanation:

The right angle is egual to 180-39-v, so it is: v-141

U now that the sum of the internal angles of a triangle is 180°.

180 = (v-48)+(v)+(v-141)

180 = 3v - 180

3v = 360

v = 360/3

v = 120

Answer:

89 = v

Step-by-step explanation:

not completely sure how i got it

good luck

Answer:

answer two solution

Step-by-step explanation:

Answer:

8.04 units

Step-by-step explanation:

By Pythagoras Theorem:

[tex] {x}^{2} = \bigg( \frac{25.2}{2} \bigg)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = ( 12.6)^{2} - {(9.7)}^{2} \\ \\ {x}^{2} = 64.67 \\ \\ x = \sqrt{64.67} \\ \\ x = 8.04176598 \\ \\ x \approx \: 8.04[/tex]

Answer:

126

AS:

If these cubes are to to be placed so that their respective faces are parallel

or perpendicular, as the case may be, to the respective orientations of the

dimensions of the box, without tilting any cubes in any directions,

then choice B) can be justified. This leaves spaces (some volume) in the box

not filled by the cubes.

How many whole number of edges of the cubes fit into 4 cm?  

4 / 3 √ 2   must be rounded down to 3.

How many whole number of edges of the cubes fit into 8 cm?  

8 / 3 √ 2   must be rounded down to 6.

How many whole number of edges of the cubes fit into 10 cm?  

10 / 3 √ 2   must be rounded down to 7.

Then (3)(6)(7) = 126

Answer:

Yes, that is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average

Step-by-step explanation:

The data given by the American Water Works Association are;

The per capita water use in a single-family home, μ = 76 gallons per day

The number of responders in the sample, n = 27

The sample mean water used by the sample, [tex]\overline x[/tex] = 71 gallons

The standard deviation, s = 9.5 gallons per day

The level of significance, α = 0.01

The test statistics is given as follows;

The null hypothesis, H₀; μ ≥ 76 gallons

The alternative hypothesis, Hₐ; μ < 76 gallons

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{71-76 }{\dfrac{9.5}{\sqrt{27}}} \approx -2.734817[/tex]

At n - 1 = 27 - 1 = 26 degrees of freedom, the critical-t = 2.5

From the test statistic, of t ≈ -2.734817, the p-value < 0.01, and from a graphing calculator, the p-value is given as Prob = 0.005544418

Therefore, given that the p-value is less the significant level, and less than 0.01, is therefore statistically significant, and therefore, there is sufficient statistical evidence against the null hypothesis, therefore we reject the null hypothesis, and there is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average.

Answer:

90 words

Step-by-step explanation:

Based on the information we have already, we can assume Alan types the same amount of words per minute meaning, all we have to do here is multiply.

30 words per minute x 3 minutes = 90 words

Answer:

The answer is $3600 I hope this is helpful.

Answer:

the answer is if we don't act the beauty of nature may disappear

Step-by-step explanation:

This is so because nature is fragile and needs to be taken care of properly thus this poem portrays various ways we are endangering nature and it's beautiful aesthetic features

Answer:

The equation is;

4(2.5x-3) = 3(2x-2)

The value of x is 1.5

Step-by-step explanation:

Mathematically, the perimeter of a square is simply the product of the length of the side and 4

Secondly, the perimeter of an equilateral lateral triangle is the product of the length of its side and 3

Thus, mathematically, we have it that;

4(2.5x-3) = 3(2x-2)

10x - 12 = 6x -6

10x -6x = -6 + 12

4x = 6

x = 6/4

x = 1.5

Answer:

I dont understand spanish!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Q9) Surface Area of a cylinder

= 2πr(r + h)

Diameter = 12cm , Radius = Diameter/2 = 12 cm/2

r = radius = 6cm

h = height = 10 cm

Surface area = 2 × π × 6(6 + 10)

= 603.18579 cm²

Approximately = 603.2 cm²

Q11) Volume of a rectangular prism

Length × Width × Height

Length = 6.5cm

Width = 8.5 cm

Height = 4 cm

Volume = 6.5 cm × 8.5 cm × 4 cm

Volume = 221 cm³

Q12) Volume of the cylinder = πr²h

r = radius = 1.7m

h = height = 9 m

Volume = π × 1.7 × 9

= 81.71 m³

Approximately = 81.7 m³

Q13) Volume of the cylinder = πr²h

Diameter = 0.8m, Radius = Diameter/2 = 0.8m/2

r = radius = 0.4m

h = height = 1.5 m

Volume = π × 0.4 × 1.5

= 0.75 m²

Approximately = 0.8 m³

Answer:

1.2

Step-by-step explanation:

So in the picture, there is the working out I did (sorry for the bad writing). When you work out the question, remember to match the decimal points (I've done this in the pic). The answer I got was 1.20 but that is the same as 1.2.

hope this helps :)

Answer:

x=29

∠C=93°

Step-by-step explanation:

180°-52°-35°=3(x+2)°

180°-87°=(3x)°+6°

93°=(3x)°+6°

(3x)°=87°

x=[tex]\frac{87}{3}[/tex]

x=29

∠C=3(x+2)°

=3(29+2)°

=3(31)°

=93°

Answer:

vertical

Step-by-step explanation:

its going straight up

Answer:

1. -5

2. -24

3. 0

Step-by-step explanation:

Sum means addition.

Product means multiplication.

A negative times a negative will give you a positive.

Anything times zero is zero.

1. -2 + 5 + (-8) = -5

2. -1 * -4 * -6 = -24

3. 10 * 0 *-9 = 0

Answer:

35

Step-by-step explanation:

The first few multiples of 7 are:

× 7 = 7

× 7 = 14

× 7 = 21

× 7 = 28

× 7 = 35

× 7 = 42

× 7 = 49

× 7 = 56

× 7 = 63

× 7 = 70

The number of points Jaden scored in a game less than 45, and a multiple of 7 is 35 points

The multiples of 7 are;

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105......

Recall,

The number of points Jaden scored in a game is less than 45

Therefore, the number of points Jaden scored in a game less than 45, and a multiple of 7 is 35 points

Learn more about multiples of numbers:

https://brainly.com/question/85194

Step-by-step explanation:

x°+55°+40°=180°

x=180-95

Answer: The dermatologists at that session only

Step-by-step explanation:

It was on a Khan Academy practice.

Answer:

x + 5 < 7

Step-by-step explanation: