The bars in this graph represent the favorite sport listed
by teenagers in a random sample.
Is this graph misleading?
Favorite Sports
O Yes, because the scale does not start at 0
Yes, because the bars are not the same height
O No, because the bars are all the same width
O No, because the scale starts at 0
20
18
16
Frequency
14
12
10
Basketball Football Lacrosse Soccer Volleyball
Favorite Sport

Answer:

D)     [tex]\frac{1}{6}[/tex]

g¹(1) =  [tex]\frac{1}{6}[/tex]

The inverse of the  function   [tex]g(x) = \frac{x^{\frac{1}{3} }-1 }{2}[/tex]

Step-by-step explanation:

Step(i):-

Given that f(x) = (2x+1)³

 Let  y =  (2x+1)³

       [tex]y^{\frac{1}{3} } =2x+1[/tex]

      [tex]2x = y^{\frac{1}{3} } -1[/tex]

       [tex]x = \frac{y^{\frac{1}{3} }-1 }{2}[/tex]

Step(ii):-

y = f(x) ⇒  x = f⁻¹ (y)

  ⇒ [tex]f^{-1} (y) = \frac{y^{\frac{1}{3} }-1 }{2}[/tex]

     [tex]f^{-1} (x) = \frac{x^{\frac{1}{3} }-1 }{2}[/tex]

The inverse of the given function  

        [tex]g(x) = \frac{x^{\frac{1}{3} }-1 }{2}[/tex]

Differentiating equation (i) with respective to 'x', we get

      [tex]g^{l} (x) = \frac{1}{2} X \frac{1}{3} x^{\frac{1}{3} -1}[/tex]

     [tex]g^{l} (x) = \frac{1}{6} x^{\frac{-2}{3} }[/tex]

Final answer:-

Put x=1

  [tex]g^{l} (1) = \frac{1}{6} 1^{\frac{-2}{3} } = \frac{1}{6}[/tex]

Answer:

(a) The constant of proportionality is 0.25

(b) 1 apple = $0.25

(c) $3 = 12 apples

Step-by-step explanation:

Given

[tex]c= 0.25n[/tex]

Solving (a): The constant of proportionality;

For an equation:

[tex]c=kn[/tex]

Where

k = constant of proportionality

By comparing: [tex]c=kn[/tex] to [tex]c= 0.25n[/tex]

[tex]k = 0.25[/tex]

Hence, the constant of proportionality is 0.25

Solving (b): What information does [tex]k = 0.25[/tex] gives.

It represents the unit rate.

So, it means that 1 apple costs $0.25

Solving (c): Number of apples for $3.

This means that [tex]c = 3[/tex]

Substitute 3 for c in [tex]c= 0.25n[/tex]

[tex]3 = 0.25n[/tex]

Make n the subject

[tex]n = \frac{3}{0.25}[/tex]

[tex]n = 12[/tex]

Answer:

y=1.3x-3

or

y=4/3x-3

Step-by-step explanation:

1.3x is the slope (change in between points)

-3 is the y intercept (the point on the y axis)

Answer:

1.25miles per minute

Step-by-step explanation:

Answer:

Use the formula Speed=distance/ time. In this case you dont need to convert the time to hours so you would do 50/40 which equals 1.25 miles per minute. :)

Step-by-step explanation:

Answer:

That would be 4 minutes

Step-by-step explanation:

Think of 10 as 100%

1 would be 10

2 would be 20

3 would be 30

And so on and so forth

Hope this helps (:

Answer:

it is 25 40% of 10 is 25

Step-by-step explanation:

you do 10/40%=25.

pls give me brainlyest pls need it

Answer:

domain: (-∞, 5)∪(5, ∞)

domain in interval form: {x|x ≠ 5}

Answer:

The answer is 2 ounces

Step-by-step explanation:

Answer:

it is a) the magician

Step-by-step explanation:

comment if its wrong mark me brainlest if it is right

Answer:

87 divided by 36= 2.41

Step-by-step explanation:

Answer: 6y + y + 3 = 87

Step-by-step explanation:

Toni is 6y+3, there grandmother is y, the sum is all together. 6y + 3 + y, and rearrange it.

The correct answer is

[tex] = \frac{130}{3} [/tex]

Answer:

[tex]\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex] and [tex]-\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex]

Step-by-step explanation:

The two vectors are

[tex]a=i+j+k[/tex]

[tex]b=5i+k[/tex]

Unit vector is given by

[tex]\dfrac{a\times b}{|a\times b|}[/tex]

[tex]a\times b=\begin{vmatrix} i & j & k\\1 & 1 & 1\\5 & 0 & 1\end{vmatrix}\\ =i(1-0)-j(1-5)+k(0-5)\\ =i+4j-5k[/tex]

[tex]|a\times b|=\sqrt{1^2+4^2+(-5)^2}=\pm\sqrt{42}[/tex]

[tex]\dfrac{a\times b}{|a\times b|}=\dfrac{i+4j-5k}{\sqrt{42}}\\\Rightarrow \dfrac{a\times b}{|a\times b|}=\pm\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex]

The two unit vectors that are orthogonal to both given vectors is [tex]\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex] and [tex]-\dfrac{1}{\sqrt{42}}(i+4j-5k)[/tex].

Answer:

its 15

Step-by-step explanation:

Answer:

4 ft 11 in

Step-by-step explanation:

60 in = 5ft

68 in - 9 in = 59 in

59 in = 4 ft 11 in

Answer:

Step-by-step explanation:

Total outcomes: 2(5)(6)

= 60

Coins, heads, or tails are the practice of flinging a coin through into the air and checking what side shows whenever it lands, to choose between two possibilities, heads or tails, that are occasionally used for trying to settle conflicts between different parties.

Total outcomes: [tex]\bold{2 \times 5 \times 6 = 60}[/tex]

So the final answer is "60".

Learn more:

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Answer: 1/3+ 1 1/2 = 1.8333333333333 or 1  5/6

What fraction of a gallon of fruit juice does he pour in one minute? He poors 1 5/6  fruit jucie in  one min

Answer:

When you multiply -3 to x and +2

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3(x+2)=21

Multiple -3 to (x+2)

-3x-6=21

then add 6 to 21

-3x=27

Divide by -3 to get an x

Answer:

8/15 or 0.5333 to nearest ten thousandth.

Step-by-step explanation:

sin x = opposite side/ hypotenuse

= 8/15.

Answer:

Outside

Step-by-step explanation:

From what I see, your question might look like this a(b +/- c)

"a" would be on the outside.

Answer:

$8.40

Step-by-step explanation:

We have to find the unit rate, so our equation is:

63 ÷ 7 1/2 = 8 2/5 or 8.4

So Nathan earns $8.40 per hour

Answer:

Step-by-step explanation:

Area:=45

Answer:

I know this isn't the answer you'd like, but there's a graphing app called ''desmos'' and you can enter the equation in there and it gives you your answer.

Step-by-step explanation:

Answer:

need a picture hdhxhxhxhx

Answer:

-4,-5

Step-by-step explanation:

Looking at the system of equations, I can't see any way to add the equations together to eliminate a variable. So, I decided to use substitution. First, I created 2 new equations, x = -24 - 4y and Y=2X+3 by rewriting each equation to solve for x and y. Now, I can take one of these equations and insert it in the opposite equation and solve for a variable.

4(-24 - 4y) - 2y = -6

-96 -16y -2y = -6

-18y = 90

y = -5

Now, I can just insert this in one of my equations and solve for x, and get my solution, which gets me x = -4

Answer:

3a^4

Step-by-step explanation:

Simplify the expression.

Answer:

Yes they have layers

Step-by-step explanation:

Ogre

Layers

like

onion

Answer:

Mode

Step-by-step explanation:

Mode

Find out more information about mode here:

https://brainly.com/question/11163338?referrer=searchResults