What is p(x)? Thank you!

Responder:

Explicación paso a paso:

Dado el conjunto de un triángulo equilátero con cada uno de sus lados en progresión geométrica, si el primer triángulo mide un lado de 1 cm y una razón común de 2 cm, para obtener el lado del triángulo 29, usaremos la fórmula para calcular el enésimo término de la progresión geométrica. expresado como;

Tn = ar ^ (n-1)

a es el primer término

n es el número de términos

r es la razón común.

Dados los siguientes parámetros

a = 1, r = 2 y n = 20 (ya que estamos buscando el lado del vigésimo triángulo)

Sustituyendo los parámetros dados en la fórmula para obtener el lado del triángulo 20, tendremos;

T20 = 1 (2) ^ 20-1

T20 = 1 (2) ^ 19

T20 = 2 ^ 19

T20 = 524,288 cm

Por lo tanto, la medida de la longitud de un lado del vigésimo triángulo equilátero es 524,288 cm.

Perímetro del vigésimo triángulo equilátero = 3 × 524,288 = 1,572,864cm

Tenga en cuenta que todos los lados de un triángulo equilátero son iguales.

Answer:

(-2, 6)

Step-by-step explanation:

Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.

Start by looking at the difference in the X and Y coordinates.

X = | -4 - 12 | = | -16 | = 16

Y = | 7 - -1 | = | 8 | = 8

You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.

Now add those calculated offsets to point A.

A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.

The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.

So the coordinates for C is (-2, 6)

Answer:

32

Step-by-step explanation:

90 = 7y + 27

7y = 63

y = 9

180 = 58 + 7(9) + 27 + $

$ = 32

It might be wrong

Answer:

Gabe is planning to spend $137.89.

Step-by-step explanation:

23.33 + 25.09 + 33.45 + 56.02 = 137.89

Answer:

0.8

The absolute value of 0.8 is 0.8!

Hope this helps!

Answer:

Yes it is rational

Step-by-step explanation:

The square root of 900 is a rational number if 900 is a perfect square. It is an irrational number if it is not a perfect square. Since 900 is a perfect square, it is rational number.

y = - 40

- 40 since theres no letters it gonna be -40.

Answer:

8.2429

Step-by-step explanation:

Answer:

8.4249

Step-by-step explanation:

Use calculator if you have.

Answer:

26

Step-by-step explanation:

Answer:

The first derivative of the given function

[tex]\frac{df(x)}{dx} = - ab e^{-b x}[/tex]

Step-by-step explanation:

Step(i):-

Given f(x) = ae⁻ᵇˣ  ...( i )

we will use differentiation formula

[tex]\frac{d(e^{ax}) }{dx} = a e^{a x}[/tex]

Step(ii)

Differentiating equation (i) with respective to 'x', we get

[tex]\frac{df(x)}{dx} = a e^{-b x} \frac{d}{dx} (-b x )[/tex]

       = -ab e⁻ᵇˣ

[tex]\frac{df(x)}{dx} = - ab e^{-b x}[/tex]

Final answer:-

The first derivative of the given function

[tex]\frac{df(x)}{dx} = - ab e^{-b x}[/tex]

Answer:

-4=x

Step-by-step explanation:

Okay, let's do this step-by-step for the best results!

We need to make sure that common variables can be put together first. If you did not know this, look at PEMDAS.

-x+7=-6x-13

We need to add -x and -6x together. If we do that then you would get,

7=-5x-13

Let's add 13 to 7 now.

20=-5x

Lets divide -5 with 20.

-4=x

I hope this helped!

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 4}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - x + 7 = - 6x - 13}[/tex]

Move 6x to left hand side and change it's sign

[tex] \dashrightarrow{ \sf{ - x + 6x + 7 = - 13}}[/tex]

Move 7 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{ - x + 6x = - 13 - 7}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ 5x = - 13 - 7}}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{5x = - 20}}[/tex]

Divide both sides by 5

[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{ - 20}{5} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = - 4}}[/tex]

Hope I helped!

Best regards! :D

Answer:

22-10c

Step-by-step explanation:

The simplified value of the expression is 18

Given the expression :

To solve , substitute the values of k and c into the equation

Now we have ;

5 * 6 - 10(2) + 8

5 * 6 - 20 + 8

30 - 20 + 8

30 - 12

= 18

Hence, the. simplified value of the expression is 18

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Answer:

x = 147

147 + 3 = 150

150 ÷ 5 = 30

Answer:

See answer in the explanation below.

Step-by-step explanation:

x = 147

147 + 3 = 150

150 ÷ 5 = 30

Answer:

Step-by-step explanation:

To make the problem easier to solve, we will set it up as the equation of the length of time of each class times the number of classes equals the total amount of minutes. However, since we don't know the number of classes, we'll symbolize our two unknowns with two variables.

75x + 45y = 705

(75x + 45y)/15 = 705/15

5x + 3y = 47

y = (47-5x)/3

It looks like we can't simplify the equation any more, so now it is a matter of trial and error. The minimum number of Saturday classes means the maximum number of weekday classes. We first will test for the maximum by assuming there are no Saturday classes, then will work our way up until x is an integer.

If x = 0

(47-5(0))/3 = 47/3 = 15.6666

If x = 1

(47-5(1))/3 = 42/3 = 14

This works. Therefore, the maximum number of weekday classes is 14, or choice b.

Step-by-step explanation:

Why isn't "0" far left of the scales? It's not on the far left side because it wouldn't allow us to be much more precise if it was at the far end. Being where it is, it gives us a closer approximation to the actual distance in the real world.

Answer:

the graph decreases everywhere

Step-by-step explanation:

the left side of the line is higher than the right side which means its a negative  slope so it is decreasing

Answer:B

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

hope i helped

Answer:

Step-by-step explanation: If Canada(C) is 32,000,000 and America is A and C x 10 = A then 32,000,000 x 10 = A

And to multiply any whole number by 10 you just add a zero to the end so

320,000,000  is the answer which is pronounced "Three hundred twenty million" And there is 7 zeros in the answer

hope this helps mark me brainliest

Answer:

The number is zero

Step-by-step explanation:

From the question we are told to state the number of on-to-one that exist from the set of 5 element to the set 4 element

Generally there are no one-to-one function from a set with a higher number of elements to a set with the lower number of elements

So the correct answer to the question is  there are no one-to-one function from the set of  5 elements to the set of 4 elements

Answer:

true

Step-by-step explanation:

that is true i need twenty charcters

Answer:

155

Step-by-step explanation:

17 can go into 26. 1 time then 26-17=9

bring down the 3 and it turns into 93

17 can go into 93 5 times. that equals 85

93-85=8 then add the 5 that make 85

85 divided by 17 =5

so the answer is 155

Answer:

12/18=2/3

Step-by-step explanation:

You should add up every marbles to find out how many marbles are in total. Then, you should add the green and black marbles. There are 4 black marbles, and 8 green marbles, which results 12 black+green marbles. Then you should make a fraction 12/18, because you are finding the probability of the green+black marbles out of the total marbles. If you simplify, you get 2/3.

The probability of randomly selecting a green or black marble is 12/18.

Probability is the ratio that determines how likely an event is to occur from a set of possible events.

Total number of green marbles = 8

Total number of black marbles = 4

Total number of yellow marbles = 6

Total number of marbles = Total number of green marble + Total number of black marbles + Total number of yellow marbles = 18

P(selecting a green marble) = Total number of green marbles/Total number of marbles

= 8/18

P(selecting a black marble) = Total number of black marbles/Total number of marbles

= 4/18

P(selecting a green or black marble) = (Total number of green marbles + Total number of black marbles)/Total number of marbles

= (8 + 4)/18

= 12/18

Therefore, we have found the probability of randomly selecting a green or black marble to be 12/18.

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Answer:

1) The population grew by 204 students between 2002 and 2006.

2) It took 4 years for the population to grow from 956 to 1160.

3) The average population growth is about 51 students per year.

4) In 2000 the population was 854.

Step-by-step explanation:

Answer:

[tex]6a^{3}[/tex]

Step-by-step explanation:This is a very simple question.

We all know that the equation or formula for area is...

A= L*W

So multiply...

[tex]2a^{2} *3a[/tex]= [tex]6a^{3}[/tex]

Since 3a has an exponent power of 1 and you add the exponent power when multiplying...

The result would be... [tex]6a^{3}[/tex].

Hope this helps:)

Answer:

61

Step-by-step explanation:

Here's a neat trick when you have an odd number of consecutive numbers.

Call the middle number k

Then the smaller number is k-1

The larger number is k + 1

The two ones will cancel.

k-1 + k + k-1 = 180

3k = 180

k = 180/3

k = 60

Therefore the largest number is k + 1 = 60 + 1 =61

Answer:

5.6 miles.

Step-by-step explanation:

7/80=x/64 is our equation

Cross multiply to solve for x

x=7*64/80

x=5.6mi

Hope this helps ^-^

Answer:

5.6 miles

Step-by-step explanation:

Let's set up a proportion using the following setup.

[tex]\frac{miles }{minutes}=\frac{miles }{minutes}[/tex]

We know Maya can run 7 miles in 80 minutes.

[tex]\frac{7miles }{80minutes}=\frac{miles }{minutes}[/tex]

We don't know how many miles she can run in 64 minutes. Let's say she can run x miles in 64 minutes.

[tex]\frac{7miles }{80minutes}=\frac{x miles }{64 minutes}[/tex]

[tex]\frac{7}{80}=\frac{x}{64}[/tex]

We want to solve for x (miles in 64 minutes). Therefore, we must isolate x on one side of the equation.

x is being divided by 64. The inverse of division is multiplication. Multiply both sides of the equation by 64.

[tex]64*\frac{7}{80}=\frac{x}{64}*64[/tex]

[tex]64*\frac{7}{80}=x[/tex]

[tex]64*0.0875=x[/tex]

[tex]5.6=x[/tex]

[tex]x= 5.6 miles[/tex]

Maya can run 5.6 miles in 64 minutes.

Answer:

[tex]\huge\boxed{C. \ \ GCF = 2 * 7}[/tex]

Step-by-step explanation:

Firstly, we'll do prime factorization of these numbers.

70 = 2 × 5 × 7

112 = 2 × 2 × 2 × 2 × 7

So, The Greatest Common Factor can be written as:

GCF = 2 × 7    [Since Only one 2 and one 7 is common]

Hope this helped!

Answer:

C

Step-by-step explanation:

I got this correct on e d g e n u i t y thanks to the person above me :)

Answer:

Hey there!

If there were no restrictions, there would be 10x10x10x10x10 phone numbers.

The first number can only be a 6-9, so that is four options.

The second number can have nine options.

The third and fourth numbers have eight options.

The fifth number has seven options

4x9x8x8x7=16128.

16128 numbers are possible.

Let me know if this helps :)

Answer: (I'm sorry if this is not the right answer)

The width = 8 meters

Step-by-step explanation:

The length: a (m)

The width: b (m)

We cannot have a negative length and a negative width: a>b>0

Eq. I: a=2b-4

Eq. II: ab=96

Substitute the value of a from Eq. I into Eq. II: (2b-4).b=96

Solve for b:

(2b-4).b=96

2[tex]b^{2}[/tex]-4b-96=0

[tex]b^{2}[/tex]-2b-48=0

[tex]b^{2}[/tex]+6b-8b-48=0

b.(b+6)-8.(b+6)=0

(b+6).(b-8)=0

b=8; b=-6

As mentioned above, b>0. Therefore, b=8

Conclusion: if the area of the rectangle is 96 square meters then its width is 8 meters.

The width of the given rectangle is 8 units.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Let's say the length of the rectangle is L and the width is W

Given that,

The length of a rectangle is four meters less than twice its width.

So,

L = 2W - 4

And,

Area = 96 square meter

LW = 96

Now by substituting

2W² - 4W = 96

W² - 2W - 48 = 0

W² -8W + 6W - 48 = 0

W(W - 8) + 6(W - 8) = 0

(W + 6)(W - 8) = 0

W = 8, -6 since distance cannot be negative so it will be 6 meters.

Hence "The width of the given rectangle is 8 units".

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