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3 years ago

I do not understand this problem PLEASE HELP

Mathematics

1 answer:

PolarNik [594]3 years ago

8 0

Okay, so this question is asking you about a graph (h(t)=-t^2+4t). Because of the -t^2 this will be a parabola that opens downwards. h(t)=-t^2+4t, you can find that the graph will start at zero (since there is no starting value). The easiest way for you to solve this would be if you had a graphing calculator, if you don't then just use an online graphing website. This is a quadratic problem, so they are constructed as AT^2+BT+C, in this problem A=-1,B=4,C=0. To find the vertex, do -(B/2A), which will give you the X value (T value in this case) of the vertex, then you plug that into your graphing toll, and that gives you the vertex. To find the average rate of change between t=2.5 and t=3, you need to find their Y values. Then you find the difference between those values, and multiply it by two, (since their space is 0.5), and that is your AROC (average rate of change). This means that this is the approximated change rate for the graph since it is inconsistent. Hope this helps explain :D

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Someone help me find the answer to this

KATRIN_1 [288]

The diameter of the plate is 12, and the formula for finding circumference is diameter times pie. so you multiply pie (or 3.14 if you aren't using a calculator) times 12 and it should give you 37.6991. rounded to the nearest tenth, that's 37.7, hope I helped!

5 0

3 years ago

Please Help me! Algebra 1

dem82 [27]

Option a: The number of bacteria at time x is 0.

Option b: An exponential function that represents the population is $y=200(1.5)^x$

Option c: The population after 10 minutes is 11534(app)

Explanation:

It is given that the coordinates of the graph are (0,200), (1,300) and (2, 450)

Option a: To determine the number of bacteria x when y = 200

From the graph, we can see that the line meets y = 200 when x = 0

Thus, the coordinates are (0,200)

Hence, the number of bacteria at time x is 0 when y = 200.

Option b: Now, we shall determine the exponential function of the population.

The general formula for exponential function is $y=a \cdot b^{x}$

Where a is the starting point and $a=200$

b is the common difference.

To determine the common difference, let us divide,

$\frac{300}{200} =1.5$

Also, $\frac{450}{300} =1.5$

Hence, the common difference is $b=1.5$

Thus, substituting the values $a=200$ and $b=1.5$ in the formula $y=a \cdot b^{x}$ ,

we have, $y=200(1.5)^x$

Hence, An exponential function that represents the population is $y=200(1.5)^x$

Option c: To determine the population after 10 minutes, let us substitute $x=10$ in $y=200(1.5)^x$ , since the x represents the population of the bacteria in minutes.

Thus, we have,

$\begin{aligned}y &=200(1.5)^{x} \\&=200(1.5)^{10} \\&=200(57.67) \\&=11534\end{aligned}$

Hence, the population after 10 minutes is 11534(app)

7 0

3 years ago

Help due now pleaseee

DENIUS [597]

Answer:

Step-by-step explanation:

base² + Altitude² = Hypotenuse²

x² + 9² = 13²

x² + 81 = 169

x² = 169 - 81

x² = 88

x = $\sqrt{88}$

$x = \sqrt{2*2*2*11}=2\sqrt{2*11}\\\\x=2\sqrt{22}$

6 0

3 years ago

Read 2 more answers

Is LMN = OPQ? If so name the congruence postulate that applies

devlian [24]

<h2>Explanation:</h2><h2></h2>

The complete question is shown below. As you can see, we know that:

$\triangle LMN \cong \triangle OPQ$

Shapes are congruent if you can turn one into the other by moving, rotating or flipping. If any two triangles have matching side lengths, they're not necessarily congruent. The same happens if they have two matching side lengths, but If triangles have three matching side lengths, then they must be congruent. This is is known as the Side-Side-Side Postulate (SSS). Since in this problem corresponding sides measures the same, therefore we can say that the postulate that applies is:

B. Congruent - SSS