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Snezhnost [94]
2 years ago
15

A bar graph shows that sports books received 9 votes. If the scale is 0 to 20 by twos, where should the bar end for the sports b

ooks?
Mathematics
1 answer:
scoray [572]2 years ago
7 0
The answer to this question would be: <span><span>between 8 and 10 

In this question, the sports book get 9 votes but the ranges are made by twos which mean only even number will be placed on the track. The closest even number from 9 would be 8(1 number below) and 10(1 number above). So, the bar should be between 8 and 10</span></span>
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In the derivation of the quadratic formula by completing the square, the equation (x+b over 2a)^2=-4ac+b^2 over 4a^2 is created
vredina [299]

Answer:

The result of applying the square root property of equality to this equation is x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}.

Step-by-step explanation:

Consider the provided equation.

\left(x+\dfrac{b}{2a}\right)^2=\dfrac{-4ac+b^2}{4a^2}

As the above equation is formed by perfect square trinomial so simply applying the square root property as shown:

\sqrt{(x+\dfrac{b}{2a})^2}=\pm \dfrac{\sqrt{-4ac+b^2}}{\sqrt{4a^2}}\\x+\dfrac{b}{2a}=\pm \dfrac{\sqrt{b^2-4ac}}{2a}

Isolate the variable x.

x=-\dfrac{b}{2a}\pm \dfrac{\sqrt{b^2-4ac}}{2a}\\x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

Hence, the result of applying the square root property of equality to this equation is x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}.

4 0
2 years ago
Read 2 more answers
The expression represents the cost of Janelle’s cell phone bill, where m represents the number of minutes of use.
Tcecarenko [31]
12 since it stays the same
5 0
2 years ago
A car that retails for $14,999 has a sticker on the windshield that says, "$429/mo for 48 months." What interest rate is this ca
kkurt [141]
14,999(1+.o825)^4= 20,595. $429x48 months= 20,592
Interest rate 8 1/4%

Check 20592/14999= 1.37289
Log(1.37289)/ log(1.0825)= 3.99 years
4 0
2 years ago
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The average blood alcohol concentration (bac) of eight male subjects was measured after consumption of 15 ml of ethanol (corresp
Neporo4naja [7]

Answer:

After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.

Step-by-step explanation:

The average blood alcohol concentration (bac)  is modeled by the following function.

c(t) = 0.0225te^{-0.0467t}

In which t is measured in minuted.

How rapidly was the BAC increasing after 5 minutes?

This is c'(t) when t = 5.

Using the derivative of the product.

Derivative of the product:

c(t) = f(t)*g(t)

c'(t) = f'(t)*g(t) + f(t)*g'(t)

In which problem:

f(t) = 0.0225t

g(t) = e^{-0.0467t}

So

c'(t) = 0.0225e^{-0.0467t} - 0.0225*0.0467*te^{-0.0467t}

c'(5) = 0.0225e^{-0.0467*5} - 0.0225*0.0467*5e^{-0.0467*5} = 0.0137

After 5 minutes, the BAC was increasing at the rate of 0.0137 mg/mL a minute.

3 0
2 years ago
The percent of a​ country's households with broadband Internet access can be modeled by the function f left parenthesis x right
mojhsa [17]

Answer:

a) The function has a maximum at  x = 29,59

b) 99,32 %

Step-by-step explanation:

f(x) = -0,11*x² + 6,51*x + 3

Then:

f´(x) = -0,22*x + 6,51

If   f´(x) = 0   then    - 0,22*x + 6,51 = 0

0,22*x = 6,51

x = 6,51/0,22    ⇒     x = 29,59

if we get the second derivative

f´´(x) = - 0,22       f´´(x) < 0   then we have a maximun at x = 29,59

a) the function has a maximum

b) 29,59 years after 2000   ( in 2030 )

c) f(x) = - 0,11*x² + 6,51*x + 3

f(29,59) = - (0,11)* (29,59)² + 6,51*29,59 + 3

f(29,59) = 99,32 %

5 0
2 years ago
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