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Sergio039 [100]
2 years ago
8

The following graph models bristols heart rate, in beats per minute(bpm), over time, in minutes during the last 10 minutes of yo

ga class. Bristols heart rate is 70.
Is the graph that models Bristol's heart rate a parabola?

Mathematics
2 answers:
Alexxandr [17]2 years ago
8 0
Yes, this is a parabola; it is a u-shaped graph.

The vertex is at (5, 120), and each corresponding point on either side of the graph is the same distance from the vertex.
erastova [34]2 years ago
3 0

Answer:

Yes. This is a parabola

Step-by-step explanation:

Yes. This is a parabola.

Reasons:

I. It is open down

2. Symmetrical about a vertical line

3. Has a vertex

4. Any point on the curve is equidistant from a point and a line.

Hence parabola

You might be interested in
Suppose that public opinion in a large city is 55% in favor of increasing taxes to support renewable energy and 45% against such
Harman [31]

Answer:

The approximate probability that more than 360 of these people will be against increasing taxes is P(Z> <u>0.6-0.45)</u>

                                              √0.45*0.55/600

The right answer is B.

Step-by-step explanation:

According to the given data we have the following:

sample size, h=600

probability against increase tax p=0.45

The probability that in a sample of 600 people, more that 360 people will be against increasing taxes.

We find that P(P>360/600)=P(P>0.6)

The sample proposition of p is approximately normally distributed mith mean p=0.45

standard deviation σ=√P(1-P)/n=√0.45(1-0.45)/600

If x≅N(u,σ∧∧-2), then z=(x-u)/σ≅N(0,1)

Now, P(P>0.6)=P(<u>P-P</u>   >     <u>0.6-0.45)</u>

                             σ          √0.45*0.55/600

=P(Z> <u>0.6-0.45)</u>

       √0.45*0.55/600

8 0
2 years ago
What is the zero in the quadratic function f(x)= 9x^2-54x-19?
Alex17521 [72]

Answer:

6.33... and 0.333...

Step-by-step explanation:

The quadratic formula is


x=\frac{-b+\sqrt{b^2-4ac} }{2a}.


It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions.  Using the formula will require less work than finding the factors if factorable. We will substitute a=9, b=-54 and c=-19.

x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-54)+/-\sqrt{(-54)^2-4(9)(-19)} }{2(9)}\\x=\frac{54+/-\sqrt{2916+684} }{18}

We will now solve for the plus and the minus.

The plus,,,

x=\frac{54+\sqrt{3600}}{18}\\x=\frac{54+60}{18}\\x=\frac{114}{18}\\x=6.3

and the minus...

x=\frac{54-\sqrt{3600}}{18}\\x=\frac{54-60}{18}\\x=\frac{-6}{18}\\x=-0.333...

8 0
2 years ago
A hardware store owner is replenishing his stock of base paint for an upcoming home improvement sale. He conducted a survey to d
antiseptic1488 [7]

Solution:

                       Matte Satin    Glossy Total

Homeowners 0.08 0.20 0.24 0.52

Contractors 0.04 0.26 0.18         0.48

Total         0.12         0.46 0.42   1

Approximately what percentage of contractors prefer the glossy finish?

Answer: Percentage of contractors who prefer the glossy finish is:

\frac{0.18}{0.48}=0.375&#10; or 37.5\%

Therefore, the option D. 37.5% is correct

6 0
2 years ago
Read 2 more answers
What is the value of x in this equation: 4x + 5 = 3x + 4? Solve the equation using the algebra tiles.
Snowcat [4.5K]

Answer:

x = -1

Step-by-step explanation:

4x + 5 = 3x + 4

      -5           -5

4x =    3x -1

-3x =   -3x

1x = -1

x = -1

4 0
2 years ago
Read 2 more answers
There is a bell at the top of a tower that is 45m high. The bell weighs 190 kg. How much potential energy does the bell have?
Slav-nsk [51]

Answer:

  83.79 kJ

Step-by-step explanation:

The potential energy is the product of weight and height, where weight is in newtons.

  PE = Mgh = (190 kg)(9.8 m/s^2)(45 m) = 83,790 J

7 0
1 year ago
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