What is the scale factor of ABC to DEF?

Answer:

It is 1000

Step-by-step explanation:

To find the unit rate, we divide y/x. In this case our y is the height (ft) and the x is the time(min).

If we divide 1000/1, we get 1000

If we divide 2000/2, we get 1000

and so on...

Hope it helps :^)

-8/3 ft/s

We are given:

distance of the top of the ladder from the ground (h) = 12 ft

height of the ladder = 20 ft

rate of change of the distance of the base of ladder from the wall (dx/dt):

2 ft/s

Finding the distance of the base of the ladder from the wall:

From the Pythagoras's Theorem, we know that:

hypotenuse² = height² + base²

replacing the given values

20² = 12² + x²

400 = 144 + x²

x² = 256                            [subtracting 144 from both sides]

x = 16 ft                            [taking the square root of both sides]

The rate of change of the height of the Ladder from the ground:

We know that:

h = 12 ft

([tex]\frac{dh}{dt}[/tex]) = ?

x = 16 ft

([tex]\frac{dx}{dt}[/tex]) = 2 ft/s

According to the Pythagoras's Theorem:

20² = x² + h²

differentiating both sides with respect to time

[tex]\frac{d(400)}{dt} = \frac{d(x^{2} + h^{2})}{dt}[/tex]

[tex]0 = \frac{d(x^{2})}{dt} + \frac{d(h^{2})}{dt}[/tex]

[tex]0 = \frac{d(x^{2})}{dx}(\frac{dx}{dt}) + \frac{d(h^{2})}{dh}(\frac{dh}{dt})[/tex]

[tex]0 = 2x(\frac{dx}{dt}) + 2h(\frac{dh}{dt})[/tex]

replacing the variables

[tex]0 = 2(16)(2) + 2(12)(\frac{dh}{dt})[/tex]

[tex]0 = 64 + 32(\frac{dh}{dt})[/tex]

[tex]-64 =32(\frac{dh}{dt})[/tex]                                [subtracting 64 from both sides]

[tex]\frac{-64}{32} =(\frac{dh}{dt})[/tex]                                    [dividing both sides by 32]

[tex]\frac{dh}{dt} = \frac{-8}{3} ft/s[/tex]

Hence, the ladder will slide down at a speed of 8/3 feet per second

Answer:

-5.5

How I solved it:

A helpful website that I use is called Desmos. It makes the graph for you.

Just type in your equation and it is good to go. My teacher showed it to me so you know that it is good.

Answer:

8

Step-by-step explanation:

The exponent is the top number, which in this case would be 8.

Answer:

169.83

Step-by-step explanation:

big brain

Answer:

8^1/6 x 2^x= 32^1/2

Step-by-step explanation:

1/6 x 2^x= 32^1/2

Answer:

4 gallons

Step-by-step explanation:

if 1/4 a gallon is 1/16 of the wall that means 1 gallon is 4/16 of the wall plus another gallon that's 8/16 of the wall plus 2 more gallons that's 16/16 (the whole wall is complete) of the wall

Answer:

The answer to yours is incorrect the answer is 112.

Step-by-step explanation:

Answer:

the answer would be 28(3+1).

Step-by-step explanation:

first you would try to find the GCF of the two numbers, which is 28. to find this you need to divide the two numbers by the GCF, which may take a few tries. then you would have to divide those two numbers by the GCF. your answer should look like this: 28(3+1)

Answer

4.8 x 10^-3

Step-by-step explanation:

Answer: 12x

Step-by-step explanation:

Answer:

12x

Step-by-step explanation:

Answer:

my life doesn't make sense

Step-by-step explanation:

Answer:

367 19/27

Step-by-step explanation:

Use symbolab bruv, its easy.

Answer:

0.4cents

Step-by-step explanation:

Answer:

The equation in slope intercept form is y= 2 - 4x

Step-by-step explanation:

f(x)=2x-3

now,

f(7)=2× 7-3

=14-3

=11

f(-2)='-2×7-3

= -14-3

b= -17

f(-4)= -4×7-3

= -28-3

= -31

The value of f(7) ,f(-2) and f(-4) will be 11 , -17 and -31 respectively.

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given,

f(x)=2x-3

f(7) so put x = 7

f(7) = 2(7) - 3

f(7) = 11

Now,

f(-2) so put x = -2

f(-2) = -2×7-3

f(-2) = -17

Now,

f(-4) so put x = -4

f(-4)= -4×7-3

f(-4) = -31

Hence,The value of f(7) ,f(-2) and f(-4) will be 11 , -17 and -31 respectively.

For more about the function,

brainly.com/question/23712366

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Answer:

Step-by-step explanation:

Given the matrix

[5 3]

[-4 4]

The characteristic polynomial is expressed as |A - λI| = 0  where λ are the eigen values and I is am identity matrix A 2*2 identity matrix is expressed as;

[1 0]

[0 1]

Substitute into expression will give;

[tex]= \left[\begin{array}{cc}5&3\\-4&4\\\end{array}\right] - \lambda \left[\begin{array}{cc}1&0\\0&1\\\end{array}\right] = 0\\= \left[\begin{array}{cc}5&3\\-4&4\\\end{array}\right] - \left[\begin{array}{cc}\lambda &0\\0&\lambda \\\end{array}\right] = 0\\= \left[\begin{array}{cc}5-\lambda&3\\-4&4-\lambda\\\end{array}\right] = 0[/tex]

Find the determinant of the resulting matrix;

|A - λI| = (5- λ)(4- λ)- 3(-4) = 0

|A - λI| = 20-5 λ-4 λ+ λ²+12 = 0

|A - λI| = 20-9λ+λ²+12 = 0

-9λ+λ²+32 = 0

Rearrange;

λ²-9λ+32 = 0

Hence the characteristic polynomial is expressed as λ²-9λ+32 = 0

Get the eigen values by finding the roots of the equation;

λ = 9±√9²-4(1)(32)/2

λ = 9±√81-(128)/2

λ = 9±√-47/2

λ = 9±√-47/2

λ₁ = 9-√47 i/2 and λ₂ = 9+√47 i/2

Answer:

Step-by-step explanation:

Answer:

2 hours

Step-by-step explanation:

Double the people, divide the hours by 2.

Answer:

8 hours.

Step-by-step explanation:

3:4=6:x

Answer:

D

Step-by-step explanation:

If a number on the x side repeats then its automaticaly not a function.

Answer:

Step-by-step explanation:

7 days in a week so 12 times 7, which is 84 anchovies

Step-by-step explanation:

What is 45% of 150?

Y is 45% of 150

Equation: Y = P% * X

Solving our equation for Y

Y = P% * X

Y = 45% * 150

Converting percent to decimal:

p = 45%/100 = 0.45

Y = 0.45 * 150

Y = 67.5

Brainliest?

The statement's ability to access cash value is not characteristic of permanent life insurance.

We have given that

The characteristic of permanent life insurance

We have to determine which statement is not correct.

A. Paid out when you die

B. Must be renewed periodically

C. Lifetime coverage

D. Ability to access the cash value

Permanent life insurance refers to coverage that never expires, unlike term life insurance, and combines a death benefit with a savings component.

The two primary types of permanent life insurance are whole life and universal life.

Permanent life insurance policies enjoy favorable tax treatment.

Therefore the statement's ability to access cash value is not characteristic of permanent life insurance.

To learn more about the permanent life insurance visit:

https://brainly.com/question/27023711

#SPJ2

Answer:

B Must be renewed periodically

Step-by-step explanation:

Answer: 0.57 fish. Khan academy told me.

Answer:

0.83

Step-by-step explanation:

step by step on Khan

Answer:

Step-by-step explanation:

Y would equal 8 so then 2x+3 would be 10 so you multiply and get your answer!

Answer:

y=88

Step-by-step explanation:

88÷11=8

8x11=88

....

Answer:

6.25 is the answer

Step-by-step explanation:

Answer:

d=2P^2

Step-by-step explanation:

Answer:

sqrt  (x2 - x1)^2 + (y2 - y1)^2

Answer:

n would be 0.10

Step-by-step explanation:

the only way to get 72.1 is to multplay something below it like 0.10 so that why it makes since