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2 years ago

Help this has to be don today or my grade on it will be a 60

Mathematics

2 answers:

mariarad [96]2 years ago

7 0

Answer:

$\frac{5}{13}$

Step-by-step explanation:

If you have the same denominator, you can just subtract the numerators normally and carry over the denominator.

Ivan2 years ago

6 0

6/13-1/13 =5-13 is the answer

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Why must the base of an exponential function be positive?

ivolga24 [154]

Answer:

Because we only work with positive bases, bx is always positive.

Step-by-step explanation:

The values of f(x), therefore, are either always positive or always negative, depending on the sign of a. Smaller values of b lead to faster rates of decay.

7 0

3 years ago

What best describes the asymptote of an exponential function of the form f(x)=b^x?

horrorfan [7]

It depends on the value of b

Exponential functions are defined for positive values of the base [ŧex] b [/tex]. Also, they're not defined if $b=1$ , or at least let's say that this is a trivial case, since it is the constant function 1.

Case 0<b<1:

If the base sits between 0 and 1, the exponential function is constantly decreasing. The explanation is quite intuitive, assume for the sake of simpleness that b is rational. If it sits between 0 and 1, it means that it can be written as a fraction p/q, with p<q. So, if you give a large exponent to b, you obtain

$\frac{p^x}{q^x},\quad p^x \ll q^x \text{ as } x \to \infty$

On the other hand, if you consider negative exponents, you switch numerator and denominator and then raise to the same exponent the fraction q/p, which gets larger and larger.

So, if 0<b<1, we have

$\lim_{x \to -\infty} b^x = \infty,\qquad \lim_{x \to \infty} b^x = 0$

and thus 0 is a horizontal asymptote as x tends to (positive) infinity.

Case b>1:

This case is very similar, except all roles are inverted. Now you start with a fraction p/q where p>q. So, with positive, large exponents you get

$\frac{p^x}{q^x},\quad p^x \gg q^x \text{ as } x \to \infty$

And as before, negative exponents switch numerator and denominator, so the fraction becomes q/p and thus you have

$\lim_{x \to -\infty} b^x = 0,\qquad \lim_{x \to \infty} b^x = \infty$

So, again, 0 is a horizontal asymptote, but this time for x tending towards negative infinite.

6 0

3 years ago

Read 2 more answers

Determine the area of the composite figure to the nearest whole number.

Arada [10]

So this is a two step process, first you must find the area of the rectangle, then find the area of the semicircle.

So to find the area of a rectangle, you use: Length*Height=Area
In this case that would be: 7*2=14cm

Next you find the area of the semicircle, to do this you first find the area of the circle (Pi*r^2) then divide it by 2.

The diameter of the circle is 4 because: 7-2-1=4cm
Next divide that by 2 so that you get the radius: 4/2=2cm
Not you can plug that into the equation to get the area of the circle: Pi*2^2≈13cm^2
Next divide it by 2 so that you get the area of the semicircle:13/2≈6cm^2

At this point you can add the area of the semicircle to the area of the rectangle: 14+6=20cm^2

So your final answer is 20cm^2!

5 0

2 years ago

Write an equation that represents the

Schach [20]

Answer:

Our free fall calculator can find the velocity of a falling object and the height it ... accelerating by 9.80665 m/s (approximately equal to 32.17405 ft/s ) every second.

Step-by-step explanation:

3 0

2 years ago

Please answer correctly! I will mark you as Brainleist!

timofeeve [1]

Answer:

1047.2 cubic inches

Step-by-step explanation:

V = 4(pi)(r³/3)

V = 4(pi)(125/3)

V = 523.6 cubic inches (1 ball)

V = 2(523.6) = 1047.2 cubic inches (total)

6 0

3 years ago