If measure OQ = 84 and measure NP = 42, what is measure angle M?

Based on your observations, what conclusion can you draw about the lengths of AB DB AE EC

Deffense [45]

Answer:

The ratio of AD to DB is equal to the ratio of AE to EC. In other words, the pairs of lengths are proportional.

Step-by-step explanation:

Sample answer from plato

4 0

3 years ago

What are the zeros of the function? <br> f(x)=x^2+7x-60

blsea [12.9K]

$x^2+7x-60 =0\\x^2-5x+12x-60=0\\x(x-5)+12(x-5)=0\\(x+12)(x-5)=0\\x=-12 \vee x=5$

5 0

3 years ago

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Mike has $136 to spend at the amusement park.he spends 25%of that money on his ticket into the park.how much does mike have left

BARSIC [14]

Answer:

102

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

We take a milk carton from the refrigerator and put it on the table at room temperature. We assume that the temperature of the c

Kisachek [45]

We can solve this problem using separation of variables.

Then apply the initial conditions

EXPLANATION

We were given the first order differential equation

$\frac{dT}{dt}=k(T-a)$

We now separate the time and the temperature variables as follows,

$\frac{dT}{T-a}=kdt$

Integrating both sides of the differential equation, we obtain;

$ln(T-a)=kt +c$

This natural logarithmic equation can be rewritten as;

$T-a=e^{kt +c}$

Applying the laws of exponents, we obtain,

$T-a=e^{kt}\times e^{c}$

$T-a=e^{c}e^{kt}$

We were given the initial conditions,

$T(0)=4$

Let us apply this condition to obtain;

$4-20=e^{c}e^{k(0)}$

$-16=e^{c}$

Now our equation, becomes

$T-a=-16e^{kt}$

or

$T=a-16e^{kt}$

When we substitute a=20,
we obtain,

$T=20-16e^{kt}$

b) We were also given that,

$T(5)=8$

Let us apply this condition again to find k.

$8=20-16e^{5k}$

This implied

$-12=-16e^{5k}$

$\frac{-12}{-16}=e^{5k}$

$\frac{3}{4}=e^{5k}$

We take logarithm to base e of both sides,

$ln(\frac{3}{4})=5k$

This implies that,

$\frac{ln(\frac{3}{4})}{5}=k$

$k=-0.2877$

After 15 minutes, the temperature will be,

$T=20-16e^{-0.2877\times 15}$

$T=20-0.21376$

$T=19.786$

After 15 minutes, the temperature is approximately 20°C

6 0

3 years ago

an equation of the line of best fit for a data set is y=0.76x+8.35 describe what happens to the line of best fit when each y-val

elixir [45]

The y-intercept of the line would change but the slope would not.

Slope is the rate of change of a line. If the y-values all decrease the same amount, the rate that the line is changing will not change. For example, let's take the points (5, 6) and (3, 2). The slope is given by (6-2)/(5-3) = 4/2 = 2. Now let's decrease the y-coordinates all by 2:
(5, 4) and (3, 0)
The slope now would be (4-0)/(5-3) = 4/2 = 2.

By changing the y-values the same amount, the amount of difference between them stays the same, and so does the rate of change of the line.

Since we shifted the y-values down, however, this moves the line down on the graph, which will change the y-intercept.

6 0

2 years ago