Given h(x) = 2x2 - 5x + 5, find h(-5).

Given:

The number of alligators in a wildlife is given by the function

[tex]f(x)=3450(1.04)^{x+1}[/tex]

To find:

The average growth rate of change from the 4th year to the 7th year.

Solution:

We have,

[tex]f(x)=3450(1.04)^{x+1}[/tex]

For x=4, we get

[tex]f(4)=3450(1.04)^{4+1}[/tex]

[tex]f(4)=3450(1.04)^{5}[/tex]

[tex]f(4)=4197.4525[/tex]

For x=7, we get

[tex]f(7)=3450(1.04)^{7+1}[/tex]

[tex]f(7)=3450(1.04)^{8}[/tex]

[tex]f(7)=4721.5632[/tex]

Now, the average growth rate of change from the 4th year to the 7th year is

[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]

[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]

[tex]m=\dfrac{524.1107}{3}[/tex]

[tex]m\approx 174.70[/tex]

Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.

Answer:

1/64 = 0.015625

Step-by-step explanation:

(1/4)^3

Calculate 1/4 to the power of 3 and get 1/64

1/64

Answer: 0.75 Is bigger

Step-by-step explanation:

0.7 is 0.70

meaning 0.75 is bigger.

Answer:

.75 is larger

Step-by-step explanation:

Think about it in terms of whole number. 75 is greater than 70, therefore .75 is greater than .70

There is a hidden 0 after the .7

Answer:

X= 80

Step-by-step explanation:

200% = X

100%  = 40

40 * 200% = 100% * X

8000 = 100 * X

8000/100 = 100*X / 100

X = 80

Answer:

6

Step-by-step explanation:

45/8=5.62

round it to 6

There are 6 frames in each box.

Given is that a store receives 8 boxes of Picture frames to sell. Unfortunately, 3 of the frames are broken and cannot be sold. There are 45 left that can be sold.

Assume that the number of frames in each box are [x]. Then, we can write -

8x = 45 + 3

8x = 48

x = 6

Therefore, there are 6 frames in each box.

To solve more questions on functions, expressions and equation modelling, visit the link below -

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Answer:

Its A

Step-by-step explanation:

Answer:

el cerebro quizas no se puede ser

Answer:

The table shows that:

Therefore the line has a positive slope

Answer:

This might be wrong.

False?

Answer:

False

Step-by-step explanation:

14 plus 4/100 equals 14.04

13.76 plus 2.8 equals 16.56

Answer:

The answer is D. 24

Step-by-step explanation:

there are 6 atoms of Carbon, 12 atoms of Hydrogen, and 6 atoms of Oxygen.

If you add them together: 6 + 12 + 6 +24

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

Answer: [tex]x=\sqrt{18}[/tex]

Step-by-step explanation:

We can use Pythagorean's Theorem for the triangle on the bottom. The resulting answer will give the side length of the square.

[tex]3^2+3^2=\sqrt{18}[/tex]

Answer:

[tex]25C_{12}[/tex]

Step-by-step explanation:

We are given that an expression

[tex]\frac{25!}{(25-12)!12!}[/tex]

We have to find the expression which represents  [tex]\frac{25!}{(25-12)!12!}[/tex].

We know that

[tex]nP_r=\frac{n!}{(n-r)!}[/tex]

[tex]nC_r=\frac{n!}{(n-r)!r!}[/tex]

By using the formula

By comparing we get

n=25,r=12

[tex]\frac{25!}{(25-12)!12!}[/tex]

[tex]=25C_{12}[/tex]

Hence, option a is true.

[tex]25C_{12}[/tex]

Answer:

if you're finding x, x=3

Answer: Around 1.33 Cups per batch

Step-by-step explanation:

4 / 3 ≈ 1.33

Answer:

1 1/3

Step-by-step explanation:

Math

Answer:

26

Step-by-step explanation:

2,652÷102 which gives you 26

The minimum number of additional buses the school will need to purchase is 26.

The division is a method of distributing a group of things into equal parts.

According to the question

Total bus riders = 2652

Each bus can hold 102 students.

Minimum number of buses need to purchase

= [tex]\frac{2652}{102}[/tex]

= 26

Hence, the minimum number of additional buses the school will need to purchase is 26.

Find out more information about division here

https://brainly.com/question/10850080

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Step-by-step explanation:

log x = 1 + a

a = log x - 1

log y = 1 - a

a = 1 - log y

So

log x - 1 = 1 - log y

log x + log y = 2

log (xy) = 2

xy = 100

im pretty sure its 74

Answer:

180x²(3x⁴+2)⁴+240x³(3x⁴+2)³

Step-by-step explanation:

we need to break this up using the chain rule

(3x⁴+2)=u

so we have

So now we take 3x⁴+2 and take the derivative (which I will assume you know how to do, if not lmk)

which is 12x³

we now need to take the derivative of u⁵=5u⁴

Mulitply these together

60x³u⁴=60x³(3x⁴+2)⁴

do the same thing again

60x³u⁴

we now need to do the mulitplication rleu

(60x³)'(u⁴)+(60x³)(u⁴)'

=

180x²u⁴+60x³*4u³

simplify

180x²(3x⁴+2)⁴+240x³(3x⁴+2)³

while you could do more to simplify it, it would get really messy

Answer:

its 8:9

Step-by-step explanation:

It would be 8 because you can see that the top row multiplies 16 by two in the exact spot where the missing number is.

Answer:

this is the closest i can get to the answer

1. 0.33/1 = 0.33

2. how much it costs per ounce

3. it represents the facts that it costs 0.33 per ounce

4. y=0.33x+0.33

sorry if it's wrong

Answer:

Step-by-step explanation:

Answer:

tangent; inverse; 28.6

Step-by-step explanation:

You have given two legs;

You would use the inverse function, you are not given an angle;

g is about 28.61 degrees

Answer:

160 .........................................................................

Answer: (-5,1)

Step-by-step explanation: that should be right

Answer: x= 10

Step-by-step explanation:

Sorry for my sloppy hand writing.