Assuming that it takes 1.25 seconds for light to travel from the Moon to the Earth, how
many miles away is the Moon?

Answer:

g = 2

Step-by-step explanation:

5(2-g) = 0

10 - 5g = 0

-5g = -10

g = -10/-5

  = 2

Answer:

  -6, -1, 4, 9

Step-by-step explanation:

You can substitute the values and do the arithmetic:

  f(-1) = 5(-1) -1 = -5 -1 = -6

Or, you can recognize that the output values will increase by 5 for each increase of 1 in the input value.

  f(0) = -6 +5 = -1

  f(1) = -1 +5 = 4

  f(2) = 4 +5 = 9

The (input, output) pairs are ...

  (-1, -6), (0, -1), (1, 4), (2, 9)

Answer:

D

Step-by-step explanation:

So, let's say that we have the following equation:

[tex]x^2+bx=0[/tex]

And we want to complete the square.

What we need to do is to divide the coefficient of x by half. Square that. Then add that number to both sides.

The answer that reflects this is choice D.

For instance if we have:

[tex]x^2+4x=0[/tex]

Divide 4 by 2 and then square it.

4/2 is 2. 2²=4. Add 4 to both sides. Thus:  

[tex](x^2+4x)+4=0+4[/tex]

And now, we can complete the square:

[tex](x+2)^2=4[/tex]

Answer:

Choice C. [tex]3,\! 780[/tex].

Step-by-step explanation:

The word "[tex]\verb!TENNESSEE![/tex]" contains nine letters:

If all these nine letters are unique, the number of possible arrangements would be:

[tex]P(9, 9) = 9! = 362,\! 880[/tex].

However, because some of these letters were not unique, a large number of that [tex]362,\!880[/tex] arrangements would be duplicates. What would be the exact number of duplicates? Start by considering giving each of the duplicate letters an index number. For example, consider the duplicates due to the letter "[tex]\verb!E![/tex]". There are four [tex]\verb!E![/tex]'s in [tex]\verb!TENNESSEE![/tex]. Label them as [tex]\verb!E!_1[/tex], [tex]\verb!E!_2[/tex], [tex]\verb!E!_3[/tex], and [tex]\verb!E!_4[/tex]:

[tex]\begin{array}{ccccccccc}\verb!T! & \verb!E! & \verb!N! & \verb!N! & \verb!E! & \verb!S! & \verb!S! & \verb!E! & \verb!E! \\ & \uparrow & & & \uparrow & & & \uparrow & \uparrow \\ & \verb!E!_1 & & & \verb!E!_2 & & & \verb!E!_3 & \verb!E!_4\end{array}[/tex].

These four [tex]\verb!E![/tex] can be shuffled and rearranged to give a large number of duplicates:

[tex]\begin{array}{r|ccccccccc}& \verb!T! & \verb!E! & \verb!N! & \verb!N! & \verb!E! & \verb!S! & \verb!S! & \verb!E! & \verb!E! \\ &&\uparrow&&&\uparrow&&&\uparrow &\uparrow\\ 1 & & \verb!E!_1 & & & \verb!E!_2 & & & \verb!E!_3 & \verb!E!_4\\ 2 & & \verb!E!_1 & & & \verb!E!_2 & & & \verb!E!_4 & \verb!E!_3 \\ 3 & & \verb!E!_1 & & & \verb!E!_4 & & & \verb!E!_3 & \verb!E!_2 \\\ \vdots & & \vdots & & & \vdots & & & \vdots&\vdots \\4! = 24&&\verb!E!_4 & & & \verb!E!_3 & & & \verb!E!_2 & \verb!E!_1 \end{array}[/tex].

Each of these duplicate corresponds to a unique way for arranging four unique item in a row. There are [tex]4! = 24[/tex] ways to arrange four unique items in a row. Therefore, for each arrangement that is truly unique, the letter "[tex]\verb!E![/tex]" alone would have caused the arrangement to be counted [tex]4! = 24[/tex] times if the nine letters were assumed to be unique.

At the same time, letters "[tex]\verb!N![/tex]" and "[tex]\verb!S![/tex]" would further exaggerate the count by a factor of [tex]2[/tex] each. On the other hand, the letter [tex]\verb!T![/tex] appeared only once and would not create duplicates.

Overall, if the nine letters were assumed to be unique, each arrangement that is truly unique would have been counted:

[tex]4! \times 2! \times 2! \times 1! = 96\; \text{times}[/tex].

The count based on the incorrect assumption (that the nine letters are all distinct) is [tex]362,\!880[/tex]. Divide that count by the factor of exaggeration ([tex]4! \times 2! \times 2! \times 1! = 96[/tex]) to find the number of arrangements that are truly unique:

[tex]\begin{aligned} & 362,\!880 \times \frac{1}{4! \times 2! \times 2! \times 1!} = 3,\!780\end{aligned}[/tex].

Answer:

The radius is 8 inches

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

Assuming you mean 320 pi for the volume

320  pi = pi r^2 ( 5)

320 =5pi r^2

Divide each side by 5pi

320 pi / 5pi = 5 pi r^2 / 5pi

64 = r^2

Take the square root of each side

sqrt(64) = sqrt(r^2)

8 = r

The radius is 8 inches

Answer:

[tex]\Huge \boxed{\mathrm{4.51 \ inches}}[/tex]

[tex]\rule[225]{225}{3}[/tex]

Step-by-step explanation:

[tex]V=\pi r^2 h[/tex]

The volume is 320 in³.

The height is 5 in.

[tex]320=\pi r^2 * (5)[/tex]

Solving for [tex]r[/tex].

Dividing both sides by 5.

[tex]64=\pi r^2[/tex]

Dividing both sides by [tex]\pi[/tex].

[tex]20.371833=r^2[/tex]

Taking the square root of both sides.

[tex]r= 4.513517[/tex]

The radius is 4.51 inches.

[tex]\rule[225]{225}{3}[/tex]

Answer:

The answer is 1 1/9 ft

Step-by-step explanation:

Multiply 5/3 x 2/3 x 1

4 is equivalent to the given expression.

It is required to find the equivalent to the given expression.

An expression is a set of terms combined using the operations +, – , x or ÷. An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An expression is in simplest form when no terms can be combined.

Given:

The given expression is

(3−2^2)+5

=(3-4)+5

=(-1)+5

=4

Therefore, 4 is equivalent to the given expression.

Learn more about expression here:

brainly.com/question/17290032

#SPJ2

Answer:

Here is your answer-

x³×x⁷

you just need to add the powers here.

x¹⁰

Answer:

∠ AOB = 17.5°

Step-by-step explanation:

∠ AOB + 110 + ∠ COD = 180 ( sum of angles in straight line )

[tex]\frac{1}{3}[/tex] ∠ COD + 110 + ∠ COD = 180 ( subtract 110 from both sides )

[tex]\frac{4}{3}[/tex] ∠ COD = 70 ( multiply both sides by 3 to clear the fraction )

4 ∠ COD = 210 ( divide both sides by 4 )

∠ COD = 52.5°

Thus

∠ AOB = [tex]\frac{1}{3}[/tex] × 52.5° = 17.5°

Answer:

My answer to the question is 34.0

Answer:

x=7, y=-2 (negative 2)

Step-by-step explanation:

Answer:

y = 39

Step-by-step explanation:

|y−43|−|y−35| =0

add |y−35| to each side

|y−43|= |y−35|

This tells us that y must be between 35 and 43

That means |y−35| is positive so we can remove the absolute value signs

|y−43|  is negative so we negate each term ( or multiply by -1)

-y+43 = y - 35

Add y to each side

y-y+43 = y+y-35

43 = 2y -35

Add 35 to each side

43+35 = 2y

78 = 2y

Divide by 2

78/2 = 2y/2

39 = y

Answer:

Step-by-step explanation:

Answer:

small: 40:15    large: 120:45    all: 160:60

Step-by-step explanation:

the way i did this was

40÷8=5 i did this because we now need to multiply 5×3=15 because thats how we get the number of trash cans.

now do the same thing for the other one

120÷8=15 → 15×3=45

an easy way to check ur answers is to divide the ratio that is given to you (8:3 so 8÷3) and see if it gets the same number as ur new ratio (40:15 so 40÷15)

Im in 8th grade and I hoped this helped :)

Answer:

A = 1/2bh

Step-by-step explanation:

The formula for an area of a triangle is always going to be one-half of the base times the height.

Answer:

$20

Step-by-step explanation:

Please mark me as brainliest

Answer:

Elena's retirement party will cost $20 if she invites 10 guests.

Step-by-step explanation:

We know this because the problem tells us that the party will cost $16 if she invites 8 guests, which means that every guest costs $2 and if we multiply 2 and 10 we get 20.

Answer:

D. [tex]5\cdot\frac{1}{2}[/tex]

Step-by-step explanation:

[tex]5\div 2 =\frac{5}{2} \\\\5\times\frac{1}{2}\\\\=\frac{5}{1}\times\frac{1}{2}\\\\=\frac{5}{2} \\[/tex]

Answer:

V≈4778.36cm³

Step-by-step explanation:

Answer:

1/3πr^2h.

1/3×3.142×13^2×27.

1/3×14336.946

4778.982cm^3

Answer:

55-7=48

48÷-6=-8

y=-8

......

Answer:

-8 = y

Step-by-step explanation:

55=7-6y

Subtract 7 from each side

55-7=7-6y-7

48 = -6y

Divide each side by -6

48/-6 = -6y/-6

-8 = y

Answer:

(a) The probability that the house size is over 1371 square feet is 0.4483.

(b) The probability that the house size is under 1296 square feet is 0.3974.

(c) The probability that the house size is between 773 and 1637 square feet is 0.9344.

Step-by-step explanation:

We are given that the sizes of houses in Kenton County are normally distributed with a mean of 1346  square feet with a standard deviation of 191 square feet.

Let X = the sizes of houses in Kenton County

The z-score probability distribution for the normal distribution is given by;

                               Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = mean size of houses = 1346 square feet

            [tex]\sigma[/tex] = standard deviation = 191 square feet

(a) The probability that the house size is over 1371 square feet is given by = P(X > 1371 square feet)

        P(X > 1371) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{1371-1346}{191}[/tex] ) = P(Z > 0.13) = 1 - P(Z [tex]\leq[/tex] 0.13)

                                                             = 1 - 0.5517 = 0.4483

The above probability is calculated by looking at the value of x = 0.13 in the z table which has an area of 0.5517.

(b) The probability that the house size is under 1296 square feet is given by = P(X < 1296 square feet)

        P(X < 1296) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{1296-1346}{191}[/tex] ) = P(Z < -0.26) = 1 - P(Z [tex]\leq[/tex] 0.26)

                                                             = 1 - 0.6026 = 0.3974

The above probability is calculated by looking at the value of x = 0.26 in the z table which has an area of 0.6026.

(c) The probability that the house size is between 773 and 1637 square feet is given by = P(773 square feet < X < 1637 square feet)

       P(773 < X < 1637) = P(X < 1637) - P(X [tex]\leq[/tex] 773)

      P(X < 1637) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{1637-1346}{191}[/tex] ) = P(Z < 1.52) = 0.9357

       P(X [tex]\leq[/tex] 773) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{773-1346}{191}[/tex] ) = P(Z [tex]\leq[/tex] -3) = 1 - P(Z [tex]\leq[/tex] 3)

                                                             = 1 - 0.9987 = 0.0013

The above probabilities are calculated by looking at the value of x = 1.52 and x = 3 in the z table which has an area of 0.9357 and 0.9987 respectively.

Therefore, P(773 square feet < X < 1637 square feet)  = 0.9357 - 0.0013 = 0.9344.  

Answer:

1) The line AB can be renamed as BA   and  h

2 ) Points B, D and C are on the same line.

3)  ABE is the another name given to the plane F.

4) E is another point which is not coplanar with ABC.

5) Another name for CD is g or DC

6) AB CB DB are rays with end points B

7) BC and BD are opposite rays .

8) CB or g is another name for CD

Step-by-step explanation:

1) The line AB can be renamed as BA   and h

2 ) Collinear points are those points which lie on the same line. So points B, D and C are on the same line.

3) Points ABE define the plane F so ABE is the another name given to the plane F.

4) E is another point which is not coplanar with ABC. ( Coplanar points are those points which are situated on the same plane)So from the picture we see that point E lies far away from the plane of ABC.

5) Another name for CD is g or DC

6) AB CB DB are rays with end points B

7) BC and BD are opposite rays . ( A ray is a line which extends indefinitely . In simple words it has no end point. It may pass through certain points. It is represented by an arrow at one end.)

8) CB or g is another name for CD

Answer:

Step-by-step explanation:

[tex](-3,-3) =(x_1,y_1)\\ (-6,1)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}\\ \\d = \sqrt{(-6-(-3))^2+(1-(-3))^2}\\ \\d = \sqrt{(-6+3)^2+(1+3)^2}\\ \\d = \sqrt{(-3)^2 +(4)^2}\\ \\d = \sqrt{9+16}\\ \\d = \sqrt{25}\\ \\d =5[/tex]

3x +5 = 2x +15

Subtract 5 from both sides:

3x = 2x + 10

Subtract 2x from both sides:

X = 10

Answer:

The answer is x=10.

3x-2x=15-5.

x=10.

Answer:

Output 2019 = 1.425 million dollar

Step-by-step explanation:

Given:

Output 2009 = 1.5 million dollar

Projected decrease output = 5%

Find:

Output 2019

Computation:

Output 2019 = Output 2009[100% - Projected decrease output]

Output 2019 = 1.5 [100% - 5%]

Output 2019 = 1.425 million dollar

Answer:

a and c are undefined.

b and d are zero.

Step-by-step explanation:

Vertical lines are undefined because of division by 0  (a and c).

The run is zero.

Horizontal lines have a slope of 0 (b and d).

The rise is zero.

Answer:

87.648

Step-by-step explanation:

It may be hard to multiply decimals. However, if you can break the decimal up into two separate equations, it can make it easier. Solving 73.04 x 1.2 is the same as solving (73.04 x 1) + (73.04 x 0.2). You already can say that 73.04 x 1 is 73.04. And then you can solve 73.04 x 0.2. Solving 73.04 x 0.2 is the same as solving 73.04 divided by 5, which will get you 14.608. Finally, all you have to do is add the two sums (73.04 + 14.608) which will get you your answer of 87.648.

Answer:

Fathom in reference to what does this line interpret?

Answer:

B. $840

Step-by-step explanation:

Given that

Rate of simple interest = 3.5%

Principal amount = $12,000

Time = 2 year

To find:

Interest earned = ?

Solution:

Formula for Simple Interest is given as:

[tex]S.I. = \dfrac{PRT}{100}[/tex]

Where P is the principal amount

R is the annual Rate of interest

T is the time for which principal was invested.

Here, we are given that:

P = $12,000

R = 3.5%

T = 2 years

Putting all the values in the formula:

[tex]SI= \dfrac{12000\times 3.5 \times 2}{100}\\\Rightarrow SI= 12\times 35 \times 2\\\Rightarrow SI = \$840[/tex]

So, answer is:

B. $840

Answer:

Area= 247 feet²

Volume= 1235 feet³

Step-by-step explanation:

A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor.

Area of the floor= length*width

Length= 19 feet

Width= 13 feet

Area= 19*13

Area= 247 feet²

Volume of the pod= area*height

Height of the pod= 5 feet

Area= 247 feet²

volume= 247*5

Volume= 1235 feet³