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3 years ago

Find an exponential function that passes through (2, 16) and (6, 256) with an asymptote y=0.

Mathematics

1 answer:

gizmo_the_mogwai [7]3 years ago

4 0

Answer:she's a freshmen leave her alone anime girl before senpai comes for ya >_<

Step-by-step explanation:

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5 pound each pound has 1/4 how many

postnew [5]

Answer:

5/4

Step-by-step explanation:

5 pounds, and if each of those has 1/4 of something then they would have 5/4 or 1.25 of that something

5 0

3 years ago

The graph of g(x) is the graph of f(x)=5x+15 compressed horizontally by a factor of 1/5 .

Vlad [161]

Consider the value of f at x=2.

f(2)=5*2+15=10+15=25. Thus, we have the point (2, 25) in the graph of f.

The graph of g is the graph of f compressed horizontally by a factor of 1/5.

So at 2, the y-coordinate is 25(1/5=5). That is, we have the point (2, 5).

All pairs (x, y) in f can be described by (x, 5x+15), thus, all pairs (x, y) in g can be described by (x, (5x+15)/5), that is (x, x+3). Thus, the rule for g is :

g(x)=x+3.

Answer: <span>A) g(x)=x+3</span>

7 0

3 years ago

Read 2 more answers

What is the volume of a square pyramid with base edges 24 feet and slant height 37

-Dominant- [34]

Answer: The volume of pyramid is 6720 ft³

Step-by-step explanation:

Given: Base edge of a square pyramid = 24 feet

Slant height = 37 feet

Therefore height of pyramid is given by

$h^2=l^2-\dfrac{1}{2} b^2$ where h is height, l is slant height and b is base edge of pyramid

So we have

$h^2= 37^2-(\dfrac{1}{2} \times 24)^2= 37^2-12^2=1225 \\\\\Rightarrow h= \sqrt{1225} =35$

Height of pyramid is 35 feet

Now the volume of a pyramid is given by

$V=b^2\dfrac{h}{3}$ where V is volume , b is base edge and h is height of pyramid

Therefore

$V= (24)^2\dfrac{35}{3} = 6720$

Hence , the volume of pyramid is 6720 ft³

7 0

3 years ago

A poker hand consisting of 7 cards is dealt from a standard deck of 52 cards. Find the probability that the hand contains exactl

77julia77 [94]

Answer:

The probability is 2,010,580/13,378,456

Step-by-step explanation:

Here is a combination problem.

We want to 7 cards from a total of 52.

The number of ways to do this is 52C7 ways.

Also, we know there are 12 face cards in a standard deck of cards.

So we are selecting 3 face cards from this total of 12.

So also the number of cards which are not face cards are 52-12 = 40 cards

Out of all these 40, we shall be selecting exactly 4. The number of ways to do this 40C4

Thus, the required probability will be;

(40C4 * 12C3)/52C7 = (91,390 * 220)/133,784,560

= 20,105,800/133,784,560 = 2,010,580/13,378,456

7 0

3 years ago

Help and show explanation please

Dennis_Churaev [7]

The picture can be divided into 2 same triangles and one rectangular.

The triangle areas is {1/2 *base * height}*2 (because 2 same triangles)

and you need to sum rectangular area (width * base).
The result will be area of 2 triangle +area of rectangular.
=2(1/2*base of triangle* height)+ (base of rectangular * height)
= (base of triangle* height)+(base of rectangular * height)
=(base of triangle +base of rectangular)*height

b1 is top length
b2 is bottom length, and so

Base of triangle =(b1-b2/2)
Base of rectangular =b2
Height =h
Thus A ={(b1-b2/2)+b2 }*h
A= [(b1+b2)/2]*h

8 0

2 years ago