Find the GCF of 22ab 2c 2 and 40a 3c 2.

Answer:

The laws of exponents are:

a)  (x^n)*(x^m) = x^(n + m)

b)  (x^n)/(x^m) = x^(n - m)

c)  (x^n)^m = x^(n*m)

Now, let's see the given equations:

1) (x-²)-³ = x⁶   (true)

Here we se the third law, the "c"

(x^(-2))^(-3) = x^(-2*-3) = x^6

Then this equation is correct.

2)  (a^m)^n = a^m^n   (false)

This law does not exist, this is false.

An example of why this is false is:

Let's use the values:

a = 2, m = 1, and n = 2

then, in the left side we have:

(2^1)^2 = (2)^2 = 4

And in the right side we have:

2^(1^2) = 2^(1) = 2

We can see that we have different things in the left side than in the right side, then that relation is false.

3)  a⁰ = 0  (false)

Let's rewrite this as:

a^0 = a^(n - n)

Now we can use the second law to rewrite this as:

a^(n - n)  = (a^n)/(a^n)

And we have a number divided by the exact same number, we know that this is equal to 1, then:

(a^n)/(a^n) = 1

this means that:

a^0 = 1.

Then this is also false.

The only correct option is the first one.

Answer:

Option B,D and E will create dilation.

Step-by-step explanation:

Dilation is the enlarging or shrinking of an element using a common scale factor.

If the same factor is multiplied by the elements, the dilation is created.

Looking at the options:

Option A

O (x,y) -----> (2x,4y)

if we take 2 as common we get  2 (x,2y) not the original coordinates (x,y). So, no dilation.

Option B

O (x,y) -----> (-2x,-2y)

if we take -2 as common we get -2(x,y) which is same as original coordinates. It would create dilation.

Option C

O (x,y) -----> (92x,2y)

if we take 2 as common we get (46x,y) not the original coordinates (x,y). So, no dilation.

Option D

O (x,y) -----> (3x,3y)

if we take 3 as common we get 3(x,y) which is same as original coordinates. It would create dilation.

Option E

O (x,y) -----> (1.2x,1.2y)

if we take 1.2 as common we get 1.2(x,y) which is same as original coordinates. It would create dilation.

So, Option B,D and E will create dilation.

Answer:

okffxddg you can see the attached file is scanned

Answer:

I think it is 16

Step-by-step explanation:

64÷4=16

4/64of gas=1 mile so I divided 64 by 4

Answer:

0.85x

wertyipjhgfdfghjkjxcvbnmuytredxcvbnko

[tex]f(x)=0.85^{x}[/tex] is the required function.

If in a mathematical statement, a set of inputs, i.e. set x having exactly one output (in set y) each, then this is called a function.

The function that decrease by 15% every time increases by 1 is,

[tex]f(x)=(1-0.15)^{x}[/tex]

Now, simplifying it, we get,

[tex]f(x)=0.85^{x}[/tex]

Hence, the required function is [tex]f(x)=0.85^{x}[/tex]

Learn more about function here :

https://brainly.com/question/27447037

#SPJ2

Answer:

$2273.19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Compound Interest Rate Formula: [tex]\displaystyle A = P(1 + \frac{r}{n})^{nt}[/tex]

Step-by-step explanation:

Step 1: Identify Variables

P = $1900

r = 3% = 0.03

n = 4

Step 2: Solve for A

Answer:

it should take 70 mins to fill all 5

hope this helps!! :)

Step-by-step explanation:

14 x 5 = 70

Answer:

70

Step-by-step explanation:

14 minutes = 1 cavity

x minutes = 5 cavities

70= x

Answer:16

Step-by-step explanation:

U just mu

Answer:

the answer would be 10

Step-by-step explanation:

:)))

9

6/2x3

3x3

9

Hope I helped

Answer:

62mm

Step-by-step explanation:

Add each side together, check answer.

Start by adding 17 and 10 together. Break it down and that equals 27. Add 11 and you get 38. Add 19 and 5 to get 24 and add that to 38. Answer, 62mm.

Answer:

the second route

Step-by-step explanation:

1.5/10=0.15 miles/minute

3/15=0.2 miles/minute

0.2 is faster than 0.15

Answer:

40%

Step-by-step explanation:

2/5 can be converted to 40/100 by multiplying the numerator and denominator by 20.

40/100 is equivalent to 40%.

Answer: my boi killed 471 people on a friday

Step-by-step explanation:

Answer:

Shape 1: 25.915

Shape 2: 102.85

Shape 3: 142

Step-by-step explanation:

For shape 1, you have to divide 7.1 to get half the width of the triangle. You get 3.55 from that, and then finding the triangle itself you have to do 7.3*3.55 to get 25.915. For shape 2, you first do the harder parts (the triangles) and since there is two of them we don't need to half the width of each triangle. But first to get the width, we need to do 20-17.4=2.6. But since there are 2 triangles we need to divide that by 2 to get 1.3. Then you multiply that by 5.5 to get the final area of both triangles which is 7.15. Next you simply find the rectangle which is 17.4*5.5=95.7. You add the triangles area to get 102.85. Finally for shape 3 you simply do 7.1*20=142.

Answer:

after u get ur answers, u add up all the numbers to get ur total

Step-by-step explanation:

Answer:

6.128054

Step-by-step explanation:

Answer:

Good question

Step-by-step explanation:

Answer:

1/5 = 20%

Step-by-step explanation:

Let x be the percentage.

[tex]\frac{1}{5} * \frac{x}{100}[/tex]

100 = 5x    Cross multiply

x = 20%

Hope this helps!

Answer: 20%

Step-by-step explanation:  1/5=0.2     0.2x100=20    20%

Answer:

keep the decemal in the same place? there's not really alot to go by on your question

Answer:

keep the same sign and add the value to each number

Step-by-step explanation:

Answer:

the open circle is greater than the closed circle is less than.

Answer:

x=-4 , y=-4

Step-by-step explanation:

see the attached pic

Answer:

There will be approximately 165,689, 137,264, and 94,207 squirrels in 25, 50, and 100 years respectively.

Step-by-step explanation:

Exponential Decay Function

The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.

An exponential decaying function is expressed as:

[tex]s(t)=s_o\cdot(1-r)^t[/tex]

Where:

s(t) is the actual value of the function at time t

so is the initial value of s at t=0

r is the decaying rate, expressed in decimal

The population of squirrels is decreasing at a rate of r=0.75% = 0.0075. The initial number of squirrels is so=200,00. The exponential model for this situation is:

[tex]s(t)=200,000\cdot(1-0.0075)^t[/tex]

[tex]s(t)=200,000\cdot(0.9925)^t[/tex]

Where s is the number of squirrels at any time t.

We are required to find the number of squirrels in:

t=25 years. Substitute in the formula:

[tex]s(25)=200,000\cdot(0.9925)^25[/tex]

Calculating:

[tex]s(25)\approx 165,689[/tex]

t=50 years. Substitute in the formula:

[tex]s(50)=200,000\cdot(0.9925)^50[/tex]

Calculating:

[tex]s(50)\approx 137,264[/tex]

t=100 years. Substitute in the formula:

[tex]s(100)=200,000\cdot(0.9925)^100[/tex]

Calculating:

[tex]s(100)\approx 94,207[/tex]

There will be approximately 165,689, 137,264, and 94,207 squirrels in 25, 50, and 100 years respectively.

Answer:

5

Step-by-step explanation:

3 1/8 : 8 x 3=25 new fraction

25/8 x 8/5 you have to do kcf Keep Change Flip

and then multiply

8x5=40 25x8=200 simply by 40

5/1= 5 hope it helped im not the best :)  

Answer:

= 7/ 8

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 10-3)/( -2 - -10)

    = ( 10-3)/( -2 +10)

    = 7/ 8

Answer:

The coordinates would be (3,7)