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3 years ago

13

HELP....... :PDecide if the function is an exponential growth function or exponential decay function, and describe its end behav

ior using limits......y=0.8^x

2 answers:

Lorico [155]3 years ago

5 0

This is decay because the base of the exponential is < 1 ( 0.8).

Limit of the function as x approaches infinity is 0

Alexxandr [17]3 years ago

4 0

C.) Exponential Decay Function

lim f(x)=∞

x→-∞

lim f(x)=0

x→∞

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The graph of a system of equations with the same slope and the same y-intercepts will have no solution

Bumek [7]

Answer:

False.

Step-by-step explanation:

If they have the same slope and same intercept they will have the same line. So they will have infinite solutions.

5 0

4 years ago

Read 2 more answers

What is the value of x? Round to the nearest hundredth.

jeyben [28]

Answer:

The correct answer is first option

X = 34.61

Step-by-step explanation:

<u>Points to remember</u>

<u>Trigonometric ratios</u>

Sin θ = Opposite side/Hypotenuse

Cos θ = Adjacent side/Hypotenuse

Tan θ = Opposite side/Adjacent side

From the figure we can see that a right angled triangle with base x and hypotenuse = 81.9.

One angle = 65°

To find the value of x

We have Cos θ = Adjacent side/Hypotenuse

Cos 65 = X/81.9

X = 81.9 * Cos 65

= 81.9 * 0.4226

= 34.61

Therefore X = 34.61

The correct answer is first option

3 0

3 years ago

Read 2 more answers

Carlos found the area of the figure check his work and explain any errors

Zanzabum

Answer:

The correct are is 5.5 cm².

Step-by-step explanation:

First of all, Carlos calciulated the are of the rectangle correctly, only the are unit is wrong, it should be 3 cm².

He made a mistake calculating the area of a the triangle: The area of a triangle can be calculated by multiplying the base by the height by $\frac{1}{2}$ .

(Comment if you want a deeper explanation on where this comes from)

He mistakenly takes 4 cm for the height, but if you look carefully the height of the triangle in this case is 4 cm - 1.5 cm = 2.5 cm.

That gives $\frac{1}{2} * 2 cm * 2.5 cm = 2.5 cm^2$ for the area of the triangle.

Adding those two together gets you a total area of 5.5 cm².

7 0

4 years ago

Read 2 more answers

Pl help me to do it

mixas84 [53]

Answer:

Step-by-step explanation:

Assuming you want to find the value of n.

$\sqrt{\frac{p}{q} } =(\frac{q}{p}) ^{1-2n} \\$

Remember when bases are same exponents can be made equal

Here the bases are different

because notice on one side there is p/q and on the other q/p

what can we do to make them same?

You can invert the any side you want either make leftside as q/p or make right one as p/q

I will make left side as q/p

All you do is flip the denominator and numerator to do so. But that can only be done if you put a (-1) in the exponent

so underroot p/q means (p/q)^1/2 when i make it q/p

a negative one needs to be put in the exponent. That -1 when multiplied by 1/2 makes it -1/2

Now the bases are same such like.

$(\frac{q}{p} )^{-1/2} = (\frac{q}{p}) ^{1-2n}$

See now the bases are same, the powers can be made equal

so

-1/2=1-2n

here n is the variable we need to find

rearrange the equation

n=3/4

3 0

3 years ago

8. The trapezoids are similar. The area of the smaller trapezoid is 131 m2. Find the area of the larger trapezoid to the nearest

kolbaska11 [484]

Answer:

$3,726\ m^{2}$

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x----> corresponding side of the larger trapezoid

y----> corresponding side of the smaller trapezoid

$z=\frac{x}{y}$

we have

$x=64\ m$

$y=12\ m$

substitute

$z=\frac{64}{12}$

step 2

Find the area of the larger trapezoid

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z----> the scale factor

x----> area of the larger trapezoid

y----> area of the smaller trapezoid

$z^{2}=\frac{x}{y}$

we have

$z=\frac{64}{12}$

$y=131\ m^{2}$

substitute

$(\frac{64}{12})^{2}=\frac{x}{131}$

$x=(\frac{4,096}{144})(131)$

$x=3,726\ m^{2}$

5 0

3 years ago