can anyone work this out?

The scaled distance using the given scale factor is; 1.613 units

We are given;

Distance between Earth and the sun = 150, 000, 000 km

Now, we are given that the scale model that represents Distance between Earth and the sun is 1:93,000,000.

This means that 1 unit represents 93000000 kilometers. Thus;

The scaled distance using the given scale factor is;

150,000,000/93,000,000 = 1.613 units

Read more about Scale Model at; https://brainly.com/question/261465

#SPJ1

Answer:

-440

Step-by-step explanation:

Simplify

2(-4)^2+(-4)^3+24-18(-12)2

2(16)+(-64)+24-432

32-64+24-432

-440

Answer: Yes only if is is so hot it will burn yout tung but you dont want cold coffe so

Step-by-step explanation:

Answer:

Step-by-step explanation:

I agree with the first answer but maybe people like cold brews, i know i do. also people on here be asking the craziest questions bro like i just answered "what are your thoughts about brainly being a dating app" i was like what ;-;

Step-by-step explanation:

Have you understand? please notify when you don't understand

Answer:

t = 0

Step-by-step explanation:

t + t = 0 , that is

2t = 0 ( isolate t by dividing both sides by 2 )

t = [tex]\frac{0}{2}[/tex] = 0

Answer:

t=0

Step-by-step explanation:

t+t is 0 and since were not given any numbers for t its automatically 0

Answer:

1 granola bar =

Step-by-step explanation:

10 granola bars= $4.00 x 2 = $8.00

15 granola bars=$4.00 x 3 = $12.00

20 granola bars=$4.00 x 4 = $16.00

1 granola bar = $0.80p

If the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped then the distance the object falls during 0.25 second time is 1 feet

Given,

The expression of distance in feet that an object falls = [tex]16t^{2}[/tex]

Where t is the time seconds

Then the time = 0.25 second

Substitute the values in the expression = [tex]16(0.25)^{2}[/tex]

=1 feet

Hence, If the expression 16t² models the distance in feet that an object falls during the first t seconds after being dropped then the distance the object falls during 0.25 second time is 1 feet

Learn more about algebraic expression here

brainly.com/question/19245500

#SPJ4

Answer:

1/16

Step-by-step explanation:

Coin toss

probability 1/2×1/2×1/2×1/2 = 1/16

Answer:

[tex]x = \frac{64}{3} [/tex]

Step-by-step explanation:

Based on the given conditions:

[tex] \frac{x}{32} = \frac{12}{12 + 6} ⟹ \frac{x}{32} = \frac{12}{18} [/tex]

Cross multiply the above

[tex]18x = 384 [/tex]

Divide both sides by 18 to find the value of x

[tex]x = \frac{384}{18} [/tex]

Therefore:

[tex]x = \frac{64}{3} [/tex]

The standard deviation of this distribution is 9.65 minutes.

Due to its description in terms of the second central moment, the standard deviation naturally arises in mathematical statistics.

Any distribution with finite first two moments can have its standard deviation defined, although the most common assumption is that the underlying distribution is normal.

In the above given question it is stated that:

mean(μ) of the distribution is 45 and let us consider the standard deviation to be σ

We convert this to standard normal as

[tex]P(X < x) = P(Z < \frac{( x - \mu)} {\sigma})[/tex]

We have , P(X > 55) = 0.15  (15%)

This can be simplified as:

P(X < 55) = 1 - 0.15

P(X < 55) = 0.85

[tex]P(Z < \frac{( x - \mu)} {\sigma}) = 0.85[/tex]

From Z table, z-score for the probability of 0.85 is found out to be  1.0364 ,

therefore :

[tex]\frac{( 55 - 45)}{ \sigma }= 1.0364\\\\ \sigma = ( 55 - 45) / 1.0364 \\\\\sigma = 9.65[/tex]

Hence the standard deviation is 9.65 minutes.

To learn more about standard deviation visit:

https://brainly.com/question/14856823

#SPJ1

The car's velocity after 15 seconds is 60.3 m/s.

The linear regression equation obtained by fitting the data using technology is:

The approximate velocity at time = 0 and x = 0 is as follows:

After 15 seconds, the velocity is:

Therefore, the car's velocity after 15 seconds is 60.3 m/s.

Know more about velocity here:

https://brainly.com/question/25749514

#SPJ9

The explicit formula is [tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

For the Geometric sequence, the explicit formula for the nth term is

  [tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]

Where,

  a = first number of the series

  r = common ratio

 n = number of series

 [tex]a_{1}[/tex] = a

 [tex]a_{2}[/tex] = ar

 [tex]a_{3}[/tex] = a [tex]r^{2}[/tex]

.....

Therefore the series is a, ar, a[tex]r^{2}[/tex], a[tex]r^{3}[/tex],,,,.....

Here we have the series 25, 5, 1, 1/5

Here common ratio = 1/5

and if we want to find the 5th term the formula is

[tex]a_{5}[/tex] = 25 ×[tex](\frac{1}{5} )^{4}[/tex]

    = [tex]\frac{1}{25}[/tex]

To know more about the explicit formula of the geometric sequence refer to the link given below:

https://brainly.com/question/24198356

#SPJ4

Answer:

2 line is the answer to the questions

Answer:

perhaps it is 7.09809809876 or it might be 5.437437437, a recursive number.

Step-by-step explanation:

i might be

The expression that gives the number of gallons of paint that Miki will need to buy to paint her room is F. (x + 6) / (x + 4)

Expression:

Expression are the mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given,

The area of Miki's room is x²+8 x+12 square feet. A gallon of paint will cover an area of x²+6 x+8 square feet.

Here we need to find the expression that gives the number of gallons of paint that Miki will need to buy to paint her room .

The number of gallons of paint required to paint the room is calculated by dividing the expression.

Then we get,

=> [tex]\frac{x^{2} +8 x+12}{x^2+6x+8}[/tex]

Factor the numerator and the denominator to simplify the fraction.

So, the factors of

=> x² + 8x + 12 = (x+6) (x+2)

and the factors of

=> x² + 6x + 8 = (x+4) (x+2)

When we apply the factors instead of the given expression,

Then we get,

=> [tex]\frac{(x+6)(x+2)}{(x+4)(x+2)}[/tex]

After the simplification we get,

=> (x +6) / (x + 4)

So, the option is F. (x+6) / (x+4) is the correct expression that gives the number of gallons of paint that Miki will need to buy to paint her room .

To know more about Expression here.

https://brainly.com/question/14083225

#SPJ4

The equation of the line in point-slope form, which passes through the pair of points located at (-4 , -3) and (2 , 7), is y + 3 = 5/3(x + 4).

The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.

The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).

Getting the slope of the two points: (-4 , -3) and (2 , 7).

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

m = (7 - -3)/(2 - -4)

m = 10/6

m = 5/3

Using the point slope form, plug in the values of the slope and Point A to set up the equation.

(y - y1) = m(x - x1)

where m = 5/3 and (x1 , y1) = (-4 , -3)

(y - -3) = 5/3(x - -4)

y + 3 = 5/3(x + 4)

To learn more about equation of line in point slope form: brainly.com/question/24907633

#SPJ4

The recipe of flour and sugar can be given as an example where we will get the ratio as 4 : 1.

The example is with flour and sugar

Let

x = the number of cups of flour

y =  the number of cups of sugar

We know that:

Ratio means the comparison between the two values.

Ratio = x / y

Now, we can let

x = 1 / 2 cups of flour

y = 1 / 8 cups of sugar

Ratio will be

= 1 / 2 : 1 / 8

= 8 : 2

= 4 : 1

Therefore, the recipe of flour and sugar can be given as an example where we will get the ratio as 4 : 1.

Learn more about ratio here:

https://brainly.com/question/2328454

#SPJ9

Answer:

x = 44.25

Step-by-step explanation:

9 + 6.6x = 7x - 8.7

    -7x       -7x

---------------------------

9 - 0.4x = -8.7

-9             -9

-0.4x = -17.7

÷-0.4   ÷-0.4

-------------------

x = 44.25

47.4 is the mean of the data summarized in the given frequency distribution.

What is a frequency distribution?

speed        m f m*f

42-45       43.5 22 957

46-49    47.5 14 665

50-53    51.5 7 360.5

54-57    55.5 4 222

58-61    59.5 2 119

Total    49              2323.5

mean = 2323.5/49 = 47.4

The computed mean is not close to the actual mean because the difference between the means is more than 5%.

Learn more about frequency distribution

brainly.com/question/14926605

#SPJ4

Answer:

The answers are as follows:

Step-by-step explanation:

4.

[tex] = \frac{5ab}{ {a}^{2} - {b}^{2} } - \frac{a - b}{a + b} [/tex]

[tex] = \frac{5ab}{ {a}^{2} - {b}^{2} } - \frac{(a - b)(a - b)}{ {a}^{2} - {b}^{2} } [/tex]

[tex] = \frac{5ab}{ {a}^{2} - {b}^{2} } - \frac{ {a}^{2} - 2ab + {b}^{2} }{ {a}^{2} - {b}^{2} } [/tex]

[tex] = \frac{5ab - ( {a}^{2} - 2ab + {b}^{2} ) }{ {a}^{2} - {b}^{2} } [/tex]

[tex] = \frac{5ab - {a}^{2} + 2ab - {b}^{2} }{ {a}^{2} - {b}^{2} } [/tex]

[tex] = \frac{7ab - {a}^{2} - {b}^{2} }{ {a}^{2} - {b}^{2} } [/tex]

[tex] \: [/tex]

5.

[tex] = \frac{5}{n + 5} + \frac{4n}{2n + 6} [/tex]

[tex] = \frac{5}{n + 5} + \frac{4n}{2(n + 3)} [/tex]

[tex] = \frac{5}{n + 5} + \frac{2n}{n + 3} [/tex]

[tex] = \frac{5(n + 3) + 2(n + 5)}{ {n}^{2} + 8n + 15 } [/tex]

[tex] = \frac{5n + 15 + 2n + 10}{ {n}^{2} + 8n + 15} [/tex]

[tex] = \frac{7n + 25}{ {n}^{2} + 8n + 15} [/tex]

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve these problems ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab}{ {a}^{2} - {b}^{2} } - \dfrac{a - b}{a + b} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab}{ (a + b)(a - b) } - \dfrac{a - b}{a + b} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab - (a - b)(a - b)}{ (a + b)(a - b) } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab - (a - b) {}^{2} }{ {a}^{2} - b {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab - (a {}^{2} - 2ab + {b}^{2} ) {}^{} }{ {a}^{2} - b {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5ab - a {}^{2} + 2ab - {b}^{2} {}^{} }{ {a}^{2} - b {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{7ab - a {}^{2} - {b}^{2} {}^{} }{ {a}^{2} - b {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5}{n + 5} + \dfrac{4n}{2n + 6} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{5(2n + 6) + 4n(n + 5)}{(2n + 6)(n + 5)} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{10n +30 + 4n {}^{2} + 20n}{2n {}^{2} + 10n + 6n +30} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{4n {}^{2} + 30n + 30}{2n {}^{2} + 16n + 30} [/tex]

[ taking 2 common out ]

[tex]{ \qquad \sf  \dashrightarrow \: \dfrac{2n {}^{2} + 15n + 15}{n {}^{2} + 8n + 15}} [/tex]

Simplify each rational expression. State any restrictions on the variable.

[tex]\frac{c^{2}-8c+12 }{c^{2}-11c+30 }=\frac{(c-2)}{(c-5)}[/tex]

How the rational expression is simplified?

[tex]\frac{c^{2}-8c+12 }{c^{2}-11c+30 }\\\\= > \frac{(c-2)(c-6)}{(c-5)(c-6)} \\= > \frac{(c-2)}{(c-5)}[/tex]

What are the restrictions on the variable ?

If c= 5 , the denominator becomes,

[tex]c^{2} -11c+30[/tex]  =25-55+30=0

⇒   [tex]\frac{c^{2}-8c+12 }{c^{2}-11c+30 }=\infty[/tex]

If c= 6 ,the denominator becomes,

[tex]c^{2} -11c+30[/tex] = 36- 66+30=0

⇒   [tex]\frac{c^{2}-8c+12 }{c^{2}-11c+30 }=\infty[/tex]

So, the restrictions on the variable are:  c≠ 5,6

To learn more about variable restrictions, refer:

https://brainly.com/question/10957518

#SPJ4

Based on the number given of  8.141141114, it is NOT a rational number.

A rational number refers to one that does not extend to infinity after the decimal. Some rational numbers will extend to infinity but they will have repeating numbers such as 0.3333333333.

The number  8.141141114, is not a rational number because it extends into infinity and the numbers after the decimal point are nonrepeating.

In conclusion, 8.141141114 is not a rational number.

Find out more on rational numbers at https://brainly.com/question/13212492.

#SPJ1

The windows of house are 8 feet apart distance.

As we are provided with the the total width of house is 33 feet and 4 feet distance between the edge of the house and the end windows

So the space available for the windows is total width of the house minus the  distance between the edge of the house and the windows from both the sides = 33 - 2(4) = 33-8 = 25 feet

The length of the windows to be inserted is the product of number of windows  and their side = 3 × 3 = 9 feet

The total distance between the windows can be find out by reducing the distance covered by windows from the area available for windows = 25feet - 9 feet = 16 feet

There are three windows, so there will be only 2 gaps whose length is 16 feet / 2 = 8 feets

Hence, the windows of the house are 8 feet  apart

To know more about distance - https://brainly.com/question/15172156

#SPJ9

n=4  is the value of if, when 2 of the socks are chosen randomly, the probability that they are both r e d i s 12.

What is the probability in simple terms?

Number of socks = n .

Number of red socks = 3 .

Given

       3C2nC2=12

     ⇒nC2=3×2=6

    ⇒n=4

Learn more about probability

brainly.com/question/11234923

#SPJ4

The next three numbers of the sequence are -3, -5, -7,........

An arithmetic progression, or AP, is a series in which the next term is derived from the previous one. by modifying the previous word with a constant d known as the common difference. The arithmetic progression is if the first term of the series is a, a + d, a + 2d, a + 3d, ...

The given pattern forms an Arithmetic progression (A.P.)

The sequence is - 5 , 3, 1, -1, -3, -5, -7,........

To learn more about arithmetic progression from given link

https://brainly.com/question/6561461

#SPJ4