Use the formula above to find the slope between the two points.

The number of stars in the observable universe is; 3.033 × 10¹⁴

Since there are about 3 × 1011 stars in our galaxy; we can rewrite that to be;

However, there are about 100 billion galaxies in the observable universe.

We can rewrite that in scientific notation form so that we have;

Ultimately, since our galaxy is one of the 10¹¹ observable galaxies in the universe; the number of stars in the observable universe is;

By the laws of indices;

Therefore, the number of stars in the observable universe is; 3.033 × 10¹⁴.

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[tex]a(n) = 6 + 3(n - 1)[/tex]

[tex]a(1) = 6 + 3(1 - 1)[/tex]

[tex]a(1) = 6 + 3 \times 0[/tex]

[tex]a(1) = 6 + 0[/tex]

[tex]a(1) = 6[/tex]

_________________________________

[tex]a(2) = 6 + 3(2 - 1)[/tex]

[tex]a(2) = 6 + 3 \times 1[/tex]

[tex]a(2) = 6 + 3 [/tex]

[tex]a(2) = 9[/tex]

_________________________________

[tex]a(3) = 6 + 3(3 - 1)[/tex]

[tex]a(3) = 6 + 3 \times 2[/tex]

[tex]a(3) = 6 + 6[/tex]

[tex]a(3) = 12[/tex]

_________________________________

[tex]a(4) = 6 + 3(4 - 1)[/tex]

[tex]a(4) = 6 + 3 \times 3[/tex]

[tex]a(4) = 6 + 9[/tex]

[tex]a(4) = 15[/tex]

Answer:

x^2-bx-20

Step-by-step explanation:

"19" will be the value which make the equation "[tex]x^2+bx-20[/tex]" factorable.

The given equation is

→ [tex]x^2+bx-20[/tex]

By putting "19" in the above equation, we can solve the equation.

→ [tex]x^2+19x-20[/tex]

By applying factorization, we get

→ [tex]x^2+20x-x-20[/tex]

By taking common, we get

→ [tex]x(x+20)-1(x+20)[/tex]

→ [tex](x+20)(x-1)[/tex]

Thus the above answer is correct.

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Answer:

u should never have a bad day just keep grinding you going to be who u want to be 1 day u should never feel down and the answer is -3/2 is your slope

Step-by-step explanation:

Answer:

seventy and six hundred eighty-one thousandths

Answer:

seventy thousand six hundred eighty one.

Step-by-step explanation: that is your answer

Answer:

y = 1.37

Step-by-step explanation:

30y = 41.10

divide both sides of the equation by 30

30y/30 = 41.10/30

y = 41.10/30

y = 1.37

Answer:

4x10^-3

Step-by-step explanation:

because it was in a deciaml, it has to be negative

The given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].

It is given that Kim writes an estimate for number 0.00436 as 4 × 10 ³.

We have to find whether it is correct or not and why ?

What do you mean by decimal fraction ?

A decimal fraction is a number in which the denominator is a multiple of 10 i.e., 10, 100, 1000. etc.

As per the question ;

The decimal number given is 0.00436.

To represent the number in the form of power of 10 , we need to move the decimal 3 places towards right.

and

We know if we move decimal 3 places towards right we need to multiply the resulted number by 10 to the power -3 , i.e., [tex]10^{-3}[/tex]

So,

The correct estimate will be ;

= 4.36 × [tex]10^{-3}[/tex]

Thus , the given estimate is not correct. The correct estimate will be 4.36 × [tex]10^{-3}[/tex].

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Answer:

n=5 hope this helps

Step-by-step explanation:

Answer:

Your answer is: x = 9250

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

Answer:

Ok so 25$ for an adult. there are x adults so x times 25 is equals to $25x

13 dollars per child and y children so $13y

$20 for each pensioner and p pensioners so $20p

when adding these notice that none of the variable(latters) are the same so n adding will take place leaving the answer

$25x + $13y + $20p

a) $25x

b) $13y

c) $20p

d) $25x + $13y + $20p

Answer:

a) $25x, this is because if there are x number of adults coming, and $25 is the per adult charge, then irrespective of the number of adults coming this will be the equation. Eg : x = 5 So, $25 * 5 = $125

b) $13y, this is because if there are y number of children coming, and $13 is the per child charge, then irrespective of the number of children coming this will be the equation. Eg : y = 4 So, $13 * 4 = $52

c) $20p , this is because if there are x number of pensioners coming, and $20 is the per pensioner charge, then irrespective of the number of pensioner  coming this will be the equation. Eg : p = 2 So, $20 * 2 = $40

d) so, the total will be, = $25x + $13y + $20p

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

Answer:

m=18+n

Step-by-step explanation:

m + -18 = n            simplify

-18 + m = n            record the terms

-18 + 18 + m = 18 + n             solve

Combine like terms: -18 + 18 = 0,   0 + m = 18 + n,     m = 18 + n

Final answer: m = 18 + n

Answer:

IDK but here's what I have found.....

Step-by-step explanation:

Simplifying

m + -18 = n

Reorder the terms:

-18 + m = n

Solving

-18 + m = n

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '18' to each side of the equation.

-18 + 18 + m = 18 + n

Combine like terms: -18 + 18 = 0

0 + m = 18 + n

m = 18 + n

Simplifying

m = 18 + n

Answer:

The (x,y) is like a mirror reflecting across the plane. When it moves it goes opposite (y,x). We move over the y axis and we get a negitive because of the negative cordinate plane.

Step-by-step explanation:

Answer: 5,5 have a great day

The translated point (5, 5)

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Given:

In the first quadrant, you start at (5,3) and move 2 units up.

Here, up means positive changes in the second value of coordinates

Translation:

(x, y) → (x, y +2)

(5,3)  → (5, 3 +2)

(5,3)  → (5, 5)

Therefore, the point is (5, 5)

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Given:

The population of continent of South America in 2010 is 395, 280, 204.

To find:

The closest estimate of this number.

Solution:

We have,

[tex]Population = 395, 280, 204[/tex]

The approximate value of this number is

[tex]Population \approx 400, 000, 000[/tex]

The scientific form of this value is

[tex]Population = 4\times 10^8[/tex]

Therefore, the correct option is C.

Answers:

x = 4

RM = 7

======================================================

Explanation:

The midpoint cuts the larger segment RS in two equal halves, so RM = MS

RM = MS

x+3 = 2x-1

3+1 = 2x-x

4 = x

x = 4

RM = x+3

RM = 4+3

RM = 7

MS = 2x-1

MS = 2*4-1

MS = 7

Both RM and MS are 7 units long, which confirms our answers.

RS = RM+MS

RS = 7+7

RS = 14

Answer:

(3x-2)(x-2)(x+1)

Step-by-step explanation:

Here, given a factor of 3x^3 -5x^2 -4x + 4, we want to fully express the polynomial as a product of its linear factor

To find the other factors, we shall divide the polynomial by the given factor

That will be;

3x^3-5x^2-4x + 4/(x-2)

we use long polynomial division here

Please check attachment for the division

The division yields 3x^2 + x - 2

what is left is to factorize the expression above

That will be;

3x^2 + 3x -2x - 2

= 3x(x + 1) -2(x + 1)

So we have (3x-2)(x + 1)

So the complete factorization will be;

3x^3-5x^2-4x + 4 = (x-2)(3x-2)(x+1)

Answer:

5/2

Step-by-step explanation:

Answer:

negative slope

Step-by-step explanation:

Answer:

The slope is (DNE), undefined.

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

45 divided by negative 3. All you have to do is make it into multiplication. -3 × -15 = 45

Answer:

t = 0.5

Step-by-step explanation:

sence you just have to get rid of -1/8 you just have to inverse istead of -1/8 you do +1/8 to the other side and by doing that you are goving to leave t open

Answer: (0,3)

Step-by-step explanation: The y-intercept is where x is 0.

Answer:

y=4/7x-19

Step-by-step explanation:

So the equation is :

y-[tex]y^{1}[/tex]=m(x-[tex]x^{1}[/tex])

m= slope

y+7=4/7(x-21)

y=4/7x-19

HOPE I helped :D

Answer:

(a) N (16, 2.5²)

(b) 0.241

(c) Low: 15.4 years

    High: 16.6 years

Step-by-step explanation:

The random variable X is defined as the age at death of a randomly selected indoor cat.

(a)

The distribution of X is:

[tex]X\sim N(\mu = 16, \sigma^{2}=2.5^{2})[/tex]

(b)

Compute the probability that an indoor cat dies when it is between 17.2 and 19.6 years old as follows:

[tex]P(17.2<X<19.6)=P(\frac{17.2-16}{2.5}<\frac{X-\mu}{\sigma}<\frac{19.6-16}{2.5})[/tex]

                            [tex]=P(0.48<Z<1.44)\\=P(Z<1.44)-P(Z<0.48)\\=0.92507-0.68439\\=0.24068\\\approx 0.241[/tex]

Thus, the probability that an indoor cat dies when it is between 17.2 and 19.6 years old is 0.241.

(c)

Compute the two numbers within which 20% of indoor cats' age of death lies as follows:

[tex]P(x_{1}<X<x_{2})=0.20\\\\\Rightarrow P(-z<Z<z)=0.20\\\\P(Z<z)-P(Z<-z)=0.20\\\\P(Z<z)-[1-P(Z<z)]=0.20\\\\2P(Z<z)-1=0.20\\\\2P(Z<z)=1.20\\\\P(Z<z)=0.60[/tex]

The corresponding value of z is, 0.25.

Compute the value of x₁ and x₂ as follows:

[tex]z=\frac{x_{1}-\mu}{\sigma}\\\\0.25=\frac{x_{1}-16}{2.5}\\\\x_{1}=16+(0.25\times 2.5}\\\\x_{1}=16.625\\\\x_{1}\approx 16.6[/tex]                [tex]z=\frac{x_{1}-\mu}{\sigma}\\\\-0.25=\frac{x_{2}-16}{2.5}\\\\x_{2}=16-(0.25\times 2.5}\\\\x_{2}=15.375\\\\x_{2}\approx 15.4[/tex]

Low: 15.4 years

High: 16.6 years

Answer:

w = 19/15 or 1 4/15

Step-by-step explanation:

11/15 = w-(8/15) // - w-(8/15)

11/15-w+8/15 = 0

19/15-w = 0 // - 19/15

-w = -19/15 // * -1

w = 19/15

w = 19/15

 [tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]

______________________________

 [tex]\bold{Solution~Steps:}[/tex]

[tex]1.)~Swap~sides~so~that~all~variable~terms~are~on~the~left~hand~side:[/tex]

[tex]2.)~Since~\frac{11}{15} ~and~\frac{8}{15}~have~the~same~denominator,~add~them~by~adding~their~numerators:[/tex]

______________________________

 [tex]\bold{Answers:}[/tex]

______________________________

 [tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~-TotallyNotTrillex}[/tex]

Answer:

Step-by-step explanation:

220 is the answer

176 + 43 = 219

219 is almost 220